diff --git "a/data/dm_maths/full_data_1/10789_11255.jsonl" "b/data/dm_maths/full_data_1/10789_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10789_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let a = 366 + -318. Let p be ((-45)\/30)\/((-1)\/16). Suppose 2*z - p = -2*z. What is the highest common divisor of z and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*c**5 + 107680*c**4 - 116765609*c**3 + 1757528966*c**2 - 8064045660*c + 10030378248 = 0. What is c?\nAnswer: 2, 33\/5, 2146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(7) + -5)**2 - (sqrt(343) + -1).\nAnswer: -11*sqrt(7) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 9*u - 7. Let b(i) = 7*i - 7. Let j(s) = -4*b(s) + 3*r(s). Let a(g) = -2*g + 15. Calculate -4*a(h) + 9*j(h).\nAnswer: -h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -534\/37? (a) 36 (b) 5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8692 + -3868. List the prime factors of o.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 9) to base 7.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - -1 - (-1 + -5). What is the derivative of -p*c + c - 2 + 5*c - 2*c**2 wrt c?\nAnswer: -4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zwezzsegwwswsreeswz. Give prob of picking 1 g, 1 r, 1 w, and 1 s.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -6*r**2 + 18*r + 1. Let c(s) = -6*s**2 + 18*s + 2. Let n(j) = -6*c(j) + 5*h(j). What is the tens digit of n(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -67. Suppose 5*k = c - 26. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11986, 11978, 11966, 11950?\nAnswer: 11930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011100 (base 2) in base 16?\nAnswer: dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3791155902.\nAnswer: 2, 3, 71, 443, 20089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w + 3*w + 2*w)*(-3*w + 4*w - 2*w)*(-3*w**2 + 4 - 4).\nAnswer: 27*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 8:20 PM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9291 and 2211747.\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 88*w**2 - 4*w**3 - 61*w**2 + 10*w - 46*w + 12 - 2*w**3 = 0.\nAnswer: 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -220 (b) 44 (c) 2\/19 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2001021 (base 3) in base 11?\nAnswer: -1137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate v**4*z - 14*v**3*z - 7*v - 315*z with respect to v.\nAnswer: 4*v**3*z - 42*v**2*z - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 1. Suppose 0 = -s - 0*s + 13. What are the prime factors of s\/c*-2 + 0?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -55?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/15630 and 67\/28655.\nAnswer: 171930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 171 = -5*n, -12*n + 7*n = 5*d - 175. Let x(s) = 20*s. Let q(l) = 221*l. Give n*x(b) - 3*q(b).\nAnswer: 17*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6516.\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3301114 is divided by 471584.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59568, 59483, 59350, 59169, 58940, 58663?\nAnswer: 58338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*n*y**2 + 4806*n*y - 829*n - 32*y**2 - 361*y + 4798 wrt n.\nAnswer: 3*y**2 + 4806*y - 829","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = u + 8. List the prime factors of -3 - (-3 + u) - (-59 + -4).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-h**3 - 4*h**2 + 4*h**2)*(2*h - 6*h + 2*h) - 28339*h**2 - h**4 + 28339*h**2 - 233)*(h - 7*h + 3*h).\nAnswer: -3*h**5 + 699*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.04 (b) -2\/5 (c) -14 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 156*x + 146*x - 337*x as v + s*x and give s.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 4. Let f(l) be the second derivative of -1\/6*l**4 + 2*l - 1\/6*l**3 + 9\/2*l**2 + 0. What is 2*f(g) + 5*k(g)?\nAnswer: g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2825832 by 34.\nAnswer: 1412916\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or -15148?\nAnswer: -15148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 166279392 and 513208?\nAnswer: 166279392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z*z*z**(-2\/9)*z*z*z)))\/(z*z**8*z)*z\/(z*z\/(z**(-24)\/z))*(z\/(z*z*z\/(z\/(z\/(z*z**(-8))))))\/z*z assuming z is positive.\nAnswer: z**(-362\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 - 34.000146. Round r to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1546 divide 158335281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 6409.430412 to 0 dps.\nAnswer: 6409","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3123443 - -243?\nAnswer: -3123200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 - 10609471?\nAnswer: -10609335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*i**5*k - 2571155*i**3*k**3 - i*k**3 - 13216627*k - 2 wrt i.\nAnswer: 160*i**3*k - 15426930*i*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/72*(-8)\/(-6).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 112, -1\/4, -0.02, 0.5?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5109242?\nAnswer: 2, 2554621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1799 - -b103?\nAnswer: 9859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 159180383 to the nearest integer?\nAnswer: 12617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1256, 2733, 4226, 5741, 7284, 8861?\nAnswer: 10478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) -1171 (c) 1\/6 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 9704 = 4*q - 9771, 5*w + 133*q - 1744 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45170 and 31150.\nAnswer: 140704550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/9 + ((-22)\/14 + 2 - (-2496)\/(-42)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 9*t + 2. Suppose 30*s + 108 = -6*s. Let i(x) = -5*x - 1. What is s*m(z) - 7*i(z)?\nAnswer: 8*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/6*84\/(-9). Suppose -3*m + v + 10 = 0. Let q(l) = 2*l + 5. Let d(a) = a + 2. What is m*d(f) - 3*q(f)?\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 391 + -467.4. Let o = -130.19 - m. Let n = o + 55. What is n rounded to one decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 4, 3\/8, 12\/49, 30\/11?\nAnswer: 12\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6133, -34709, -101035, -220411, -408137?\nAnswer: -679513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/224 and -51\/28.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/41, -1, -5?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**3 - 1306*a**2 - 118592*a = 0.\nAnswer: -544, -109, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g + 18. Let o(a) = -a**2 - 2*a. Let h be o(-4). Let c be z(h). Let b = 17 - c. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of 35\/6*h**3 - 2 + 34*h - 245\/4*h**2 - 5\/24*h**4. Factor k(i).\nAnswer: -5*(i - 7)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7 and -103398957.5?\nAnswer: 103398950.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(48) + 0 - sqrt(48) - sqrt(81)\/sqrt(3) - (sqrt(18)\/(sqrt(72)\/(sqrt(12) + sqrt(12)*1)))**2.\nAnswer: -12 - 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - 18130.719\nAnswer: -18130.219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.74 + -0.06. Let m = 0.8 + -0.3. Let z = s + m. Which is the smallest value? (a) 2 (b) z (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tgqiz. What is prob of picking 1 i and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ikii when four letters picked without replacement from ikiiiiiiiiiiiii.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.26 + -15.74. Let k = m - -11. Which is the smallest value? (a) k (b) -8 (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (5 - 4) - (-2 - -10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 73, 4, 1\/5 in decreasing order.\nAnswer: 73, 4, 1\/5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4031 (base 11) in base 8?\nAnswer: -12356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jrxnrxxrkrx. What is prob of picking 1 k and 1 r?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2811 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3432*c - 681. Let p(t) = -86*t + 17. Calculate 2*i(z) + 81*p(z).\nAnswer: -102*z + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -4114155?\nAnswer: 4114153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1111111100001110 (base 2) to base 15\nAnswer: -1452e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(19) - sqrt(228)\/sqrt(192)) + sqrt(19) + 4 + 3 + sqrt(2736) + -1)*1)**2.\nAnswer: 165*sqrt(19) + 58051\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -19.60591+-2123568\nAnswer: -2123587.60591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4665305 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00018366 to five decimal places.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 20.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + c - 15 = -2*m, -5*m - c = -30. Suppose 15*f + m = 16*f. Solve 0 = -f*z + 8 - 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11836 - 11822. Let s(l) = -l**2 + 15*l + 19. Give s(q).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, d: 2, g: 1, o: 1, h: 2, b: 1}. What is prob of sequence gd?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*k + 0 = -84*k - 12. Let f = 8 + -3. Suppose -f*m = -m - 36. Calculate the remainder when m is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10488 and 159?\nAnswer: 555864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 5\/3, 567, 1.8?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 divided by -230?\nAnswer: -51\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 3:19 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 90\/25*(-20)\/6. Let i be 32\/r*(-45)\/12. Calculate the highest common factor of 20 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 26224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 729?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 312\/169 + (-2)\/(-13). Let h(d) = -2*d**2 - 24*d + 1. Let c(o) = 1. Let f(k) = j*h(k) - 2*c(k). Factor f(z).\nAnswer: -4*z*(z + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -228*(-399)\/(-591318)*(-1)\/(-2*1)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -15. Is -1 + (42 - 6\/p) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 957094 and 6529851?\nAnswer: 404850762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/3 + -2\/15. What is the second smallest value in 0.5, s, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*a + 34 = 0, 27 = 4*p - a - 0. Suppose -p*s = -3*s - 15. Suppose -g + s = -0*g. Solve g*u = 3*j + 12, 10 + 5 = -5*j + 4*u for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*d - d - a - 91 + 13, 5*a + 10 = 5 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*sqrt(104))\/sqrt(8) + -2.\nAnswer: -2 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*g = -2*g + 9, 2*p + g = -1. Let b(y) = 3*y - 3 - p - 6 + 14. Determine b(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of 0 + 2\/3*b**4 - 1\/168*b**8 + 2\/35*b**7 - 1\/5*b**5 + 0*b**3 - 7\/60*b**6 + 0*b - 155*b**2. Find h, given that l(h) = 0.\nAnswer: -1, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 133 - 94. Suppose 0 = -t - 3*j + p, -6*t = -3*t + 2*j - 82. What is the smallest common multiple of 28 and t?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75632 divided by -57.\nAnswer: -75632\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -13, -2, 21049.1, -12?\nAnswer: 21049.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 11*g = -88. Let l = 22 - 7. Calculate the remainder when g is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1430 by 5.\nAnswer: -286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3306 and 7419?\nAnswer: 8175738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + a - 340 + 341 = 0, -5*a - 25 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -125*u**3 - u**2 + u - 19. List the prime factors of k(-4).\nAnswer: 19, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l**(-3)\/l)))**35)**(-49)*l**(-2\/5)\/l**(-5)*(l**(2\/7))**(-2\/123) assuming l is positive.\nAnswer: l**(29552083\/4305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*t*u**3 - 20*t*u**2 + 44*t*u + 30206473*u**4 + 9149 wrt u?\nAnswer: 24*t + 724955352*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 1. Suppose 16 = -3*b + 10. Let q(z) = 2*z + 3. Determine b*q(j) + 6*x(j).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 324897 to the power of 1\/2, to the nearest integer?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/(-14))\/(10\/35). Let v = 45 - 30. Suppose 2*s = -s + v. Solve 0 = -u - m - 4*m - 9, d*u + s*m = -17 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x**3 + x. Let h be g(-1). Suppose 127 = h*v - 199. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-1 - 371\/(-368)). Let g = k + -105. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1574878 is divided by 1020?\nAnswer: 1018","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -51157 (b) 0 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of 0 + 0*y**3 + 2*y**2 - 1\/210*y**7 + 0*y**5 + 1\/6*y**4 + 0*y - 1\/40*y**6. Factor f(w).\nAnswer: -w*(w - 1)*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2086, 2103, 2116, 2125, 2130, 2131?\nAnswer: 2128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*x - 8. Suppose 0 = s + 4*s - x. Suppose s*u = 40 + 47. Calculate the remainder when u is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**2*n**3 - a**2 + 3*a*n - 201*n**3 + 13*n wrt n?\nAnswer: -6*a**2*n - 1206*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - a8?\nAnswer: -a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 12*x - 33. Let g(d) = d**2 - 13*d + 9. Let n be g(13). Let f be q(n). What is the common denominator of 15\/22 and f\/4*(5 + 124\/(-48))?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296881679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/(4*sqrt(28)))\/((sqrt(8) + sqrt(8)*-1*-3)*-4).\nAnswer: -sqrt(3)\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/9 + (10 - (-344)\/(-24))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79533?\nAnswer: 3, 8837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**3 - 135*a**2 - 2*a - 135*a**2 + 273*a**2 - 3*a**4 + 3 - 2 to z*a**3 + h*a + b*a**2 + x + q*a**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.7 and -29.\nAnswer: -136.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -18 (b) 1\/6 (c) -0.21 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = -86 + 558. Let n = 1 - a. Is n a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27? (a) -2 (b) 704 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + c + 3)*(-19 - 11 + 2).\nAnswer: -28*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -22, -112, -264, -478?\n\"Answer: -31*q**2 + 3*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/13 or 1.0778?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -4\/3, -21.6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**2 - 1. Let c(j) = 8*j**2 + 8. Let a = 128 + -129. Let k(u) = a*c(u) - 8*s(u). Let d(t) = 4*t. What is d(k(h))?\nAnswer: -96*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.81 - 1.746. Is n >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1846 - 1837. Let j(c) = 1 - 4*c**2 - 14 + 5*c**2 - 8*c + c. What is j(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**2 + 2*c. Let y(r) = -2*r**2 - 5*r. Let o(s) = 5*p(s) + 2*y(s). Let k(j) = 12*j**2. Determine k(o(a)).\nAnswer: 432*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 b when two letters picked without replacement from fubfuuiofuubuuoiobu.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 - 31. Let m be 5 - 0 - (-7)\/y. Solve -m*b + 10 = -q, -3*q = -5*b + 10 + 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/5*(-10930)\/(-255762)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2551 - 2551. Which is greater: d or -2508?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - -4. Suppose -2*z + 17 = 3. Suppose z*j - f*j + 166 = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -949.3 + 878. Let y = 82365888 - 82365959.299653. Let h = d - y. Round h to 5 decimal places.\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 1804 - 1807 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 304 divided by -874\nAnswer: -8\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 2322.\nAnswer: -4\/1161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 3.2. Let v = j - 11.1. Round v to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 31*q - 493 = 0, 7*v - 3*q + 8*q = -2*v - 0 - 53 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 38502781537 - -0.48?\nAnswer: 38502781537.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 208, 206, 202, 196, 188, 178?\n\"Answer: -n**2 + n + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 75479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/8)*g)\/g*g\/g**(2\/61) assuming g is positive.\nAnswer: g**(533\/488)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 309244905?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, -3, -12, -19, -24, -27?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -449*x**3 - 579*x**2 wrt x.\nAnswer: -2694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2800.688cm to nanometers.\nAnswer: 28006880000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 4*j + 5 - 22, 0 = -5*m - 5*j + 30. Let n(h) be the second derivative of -5*h**4\/4 + h**2\/2 - 7*h + 149. What is n(m)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 315 - -501. Suppose 22*b - i = 636. What is the lowest common multiple of 10 and b?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 11 - 13 + l + 2. Let i(w) = 5*w + 4. Suppose 2*r + 2 = 4. Let v(u) = r*i(u) - 2*k(u). Differentiate v(p) wrt p.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 339 - 3061\/9. What is the smallest value in 2\/19, i, -0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-12)*1024\/(-96)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yvv when three letters picked without replacement from yyyyyvvyvvvy?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 131767681 to the nearest integer?\nAnswer: 11479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1043327?\nAnswer: 41, 25447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3835, 3826, 3817?\n\"Answer: -9*k + 3844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156129 is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8313506 to the power of 1\/2, to the nearest integer?\nAnswer: 2883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6329170, 6329166, 6329160, 6329152, 6329142, 6329130, 6329116?\n\"Answer: -w**2 - w + 6329172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 5*k - 24, 2*k = 2*y + 11 + 1. Let n = -37 + 52. Let o = n - y. Is o a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15.99461 - 5301\nAnswer: -5316.99461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2008013963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-1\/5)\/v))\/v**(7\/6)*v**(5\/2)\/((v\/(v*v\/(v*v**(-15)*v)*v)*v)\/v) assuming v is positive.\nAnswer: v**(278\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-2 + sqrt(612)*3))**2*-5 + ((sqrt(612) + (sqrt(612) - (4 + -1 + sqrt(612)) - sqrt(612)))**2 + (5*2*sqrt(612) - sqrt(612))**2)*-4.\nAnswer: -1190484 + 12960*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -306*i**4 + 6*i + 318*i**4 + 24*i**3 + 2*i**5 + 17*i**2 + 3*i**2.\nAnswer: 2*i*(i + 1)**3*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141698227\/18 less than or equal to 7872123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + v - 95 = -96, 0 = -2*r - 3*v + 7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + -4 + (-63 - -66)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 4)*(-l + 3 - 3)*(-l**3 + 4*l**3 - l**3).\nAnswer: 10*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide ((-8)\/6)\/4 + -125397*28\/(-756)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 30*l - 216. Let q be x(-36). Suppose 7*a + 6 = 3*w + 5*a, 2*w + 5*a + 15 = q. Factor -1\/3*j - 4\/3*j**2 + w.\nAnswer: -j*(4*j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y. Let c(b) = 7*b. Let a(g) be the first derivative of -2*g**2 - 1. Let h = 0 + -3. Let x(f) = h*c(f) - 5*a(f). What is x(s(u))?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -181715940 divided by 48073?\nAnswer: -3780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 179422 and 27734?\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-216)\/180*3\/9*-7715?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 64 - 95. Let m = 43 + r. Let y(x) = -m*x + 32*x - 19*x. Let s(g) = -2*g - 2. Give s(y(o)).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-4) + (-22)\/(-4). Suppose -p*l + 31 + 45 = 0. Let n = -13 + l. Solve x - n = 4*r, -2*x + 6*r - 2*r + 4 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 5*m - 6. Let f be q(-6). Suppose f*y = 2*y - 8. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14 + 8)*(-2)\/3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 28, -12796 in descending order.\nAnswer: 28, -22, -12796","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 - (-11 + -11 + 8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 53? (a) 2 (b) -1 (c) -2\/5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3006*j + 16102*j + 21593*j - 5083*j.\nAnswer: 29606*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -5. Suppose -w = -3*z + 3. Suppose 4*c - z*c = -2. Are 1\/5 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0.2 (b) -3 (c) 0.4 (d) 31\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 444 is divided by 91.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n + 9. Suppose 189*l - 196*l + 35 = 0. Let a(w) = w**3 - 6*w**2 + 6*w - 11. Let g be a(l). Let t(q) = 4*q + 8. Calculate g*k(f) + 7*t(f).\nAnswer: 4*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -29, -27, -25?\n\"Answer: 2*b - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 36.46?\nAnswer: 36.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 381, -0.4.\nAnswer: -0.4, 4\/7, 381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96 and 726.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2220 (base 5) to base 6.\nAnswer: 1234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzx when three letters picked without replacement from uzzezzudukexuxuuu?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 u when two letters picked without replacement from {n: 1, i: 2, k: 1, u: 1, y: 1, h: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*24\/(-420)*5\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(76) + -2 + (sqrt(76)*-1)**2 + -3.\nAnswer: -4*sqrt(19) + 71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10861182*15.\nAnswer: 162917730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -5 - 4 - 14*v**3 - 1 + 6*v + 9*v**3. Let r(t) = -4*t**3 + 5*t - 9. What is -6*i(c) + 7*r(c)?\nAnswer: 2*c**3 - c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5*r - c + 36, 3*r = 3*c - 27. Let f be (-3)\/r + 2\/(-4). Is 5 - 5 - (-2 + f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 7*p - 8. Let c(n) = 2*n**2 - 13*n - 15. Suppose -2*x + 2*d + 8 = -3*d, -5*x = 4*d + 46. Determine x*c(v) + 11*b(v).\nAnswer: -v**2 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z**2 - 4. Let a(k) = -8*k**2 + 11. Let h = 1 - -3. Let g(m) = h*a(m) + 11*o(m). Let s(j) = -6*j**2. Calculate s(g(n)).\nAnswer: -6*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 8 = 3*x + 4*k, -18 = -x + k. Let r = x - 10. Suppose -57 = -3*j - o - 2*o, -r*j + 55 = 2*o. What is the highest common factor of 187 and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 37980.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 4 - 12 = -h, -2*h - 3*x = 4. Factor -2\/3*c**h - 14\/15*c**2 - 6\/5*c**3 - 2\/15*c**5 + 0 - 4\/15*c.\nAnswer: -2*c*(c + 1)**3*(c + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2.999, -2\/19, -2\/3, -9\/14?\nAnswer: -9\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3138303 is divided by 348686.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*h = 2352 - 2348, 0 = 3*h - 12. Calculate the smallest common multiple of 672 and f.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 111.9 - 26.4. Let z = -18.4 + s. Let j = -67 + z. Which is the second smallest value? (a) 4\/3 (b) 4 (c) j (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 19*u**2 + 2*u**2 + 2*u**2 + 43 - 40. Let l(p) = -5*p**2. Calculate l(c(q)).\nAnswer: -2645*q**4 - 690*q**2 - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 57539644 to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 0.9. Let o = 7 + -6.2. Let u = -2.2 - o. Which is smaller: q or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(68) + 1)*4 + -4)**2.\nAnswer: -48*sqrt(17) + 1097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, z: 1, e: 1, p: 1, u: 1, c: 2}. What is prob of picking 1 u and 1 e?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z - 8. Let l(t) = 1. Let h(f) = 4*j(f) + 28*l(f). Let p be h(-3). Suppose 0 = 9*y - p*y - 1709. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - t + 1. Let b(c) = -3*c**2 + 5*c - 679. Determine b(d) + 4*k(d).\nAnswer: d**2 + d - 675","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 247*n - 149. What are the prime factors of y(5)?\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5*(-4 - 878\/2). Suppose 11*l + p = 6*l. Let u = l - -928. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**4\/5 + 763*g**3\/5 - 27911*g**2\/5 + 52345*g = 0 for g.\nAnswer: 0, 19, 725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1219\/(-106))\/23*1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-156)\/(-84) - 2\/2. Suppose -p = -3*g - 12 - 4, -4*p + 3*g = -28. Sort p, m, 2.\nAnswer: m, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15988, 15987, 15986?\nAnswer: 15985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -69*b**2 + 662*b - 1292. Determine l(2).\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26971061?\nAnswer: 13, 17, 122041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**2 + 9*b - 7. Let u be q(-6). Find the second derivative of 8*v + u + 11*v - 299*v**2 - 9 - 5 wrt v.\nAnswer: -598","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -33, 3, -54, -4, 0.45?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*h = -20, 4*s + 12 = -2*h + h. Is s\/(-20) - ((-257824)\/(-20))\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 2*y = 10. Suppose y*u - 8*u + 447 = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/1230)\/(87\/(-145))\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 354685518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*p - 13. Suppose o - 30 + 0 = -p*k, 0 = 3*k + 3*o - 51. Suppose 0 = -4*w - 3*q + 17, 0 = 5*q - k - 2. Solve -3 = -a - w for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 k when three letters picked without replacement from {i: 1, e: 4, k: 6, b: 6}?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -5143 < -3560?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.65565 take away 28425?\nAnswer: -28412.34435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8100944 is divided by 143.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*j**4 - 1789*j**3 + 2342*j**2 + 6.\nAnswer: 96*j - 10734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6c06 - 28?\nAnswer: -6c31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -w - 3*w, a + 5*w = 19. Let v = 14 - 14. Let o be 6 - v*(-2)\/6. Calculate the highest common factor of o and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 79.98 times 5721\nAnswer: 457565.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -29, 3, -1, 14, -3, 1441 in descending order.\nAnswer: 1441, 16, 14, 3, -1, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000040461 to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**4\/3 + 7*x**3\/6 + x**2\/3 = 0. What is x?\nAnswer: -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i - 3. Let h be y(4). Suppose g + o - 3 = -3*o, 97 = 4*g - o. Solve 5*b - h*u = g - 3, 12 = b - 3*u for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**2 + 52422*y + 18561732. Give z(-359).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 less than -0.04077158?\nAnswer: -0.16077158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 579*c**4 + 581*c**4 + c**3 + 2*c**2 - 1170*c**4 - 6 + c**3 as i*c**2 + k*c**4 + f*c**3 + v + n*c and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 9874 = 1540. Suppose 3*g - h = -28779. Is g\/(-9) + -2*2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - g**2 + g)*(2*g - 2*g - g**2) + g**4 - 2*g**4 + 2*g**4 + 221 + 4*g**4 + 225 - 468.\nAnswer: 6*g**4 - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -162077 - -162076.599995. Let g = p - -0.4. What is g rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6273800543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/3*(-3 + (2 - -2)). Find the common denominator of (-9 - -7) + (r - 453\/(-60)) and 55\/182.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1094+2617925847\nAnswer: 2617924753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 270 divide 7871580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 595419055*i**2*z**3 + 2*i**2*z**2 - 2886*i**2*z - 203*i*z + 5*z**2 wrt z.\nAnswer: 3572514330*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 4*h + 12, -9 = 3*h + 3. Suppose 0 = 4*u - 2*b - 10, i*b - 12 + 32 = 5*u. Let j be ((-54)\/30)\/(1 + u). Which is smaller: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(-1\/2))\/(f\/(f*f\/(f**(-10)*f))*f)*(f\/(f*f\/(f*f\/(f\/(f*f\/(f**(-19)*f*f))))))\/f**(3\/4) assuming f is positive.\nAnswer: f**(115\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27766398?\nAnswer: 2, 3, 11, 29, 89, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7 + 22)*(20\/(-100))\/(8\/(-36)). What is g in t*g**2 + 3 - 33\/2*g = 0?\nAnswer: 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 190 and 7?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -290 + 433. Suppose -a = -2*d + 289, d + a - m = -0*d. Let f(y) = 4*y + 2. Let o be f(4). Calculate the greatest common factor of o and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-4) - 26\/(-8). Suppose 60 = f*y + 2*y. Suppose -i = 2 - y. Calculate the greatest common divisor of i and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -22555 (b) 0.1 (c) 4 (d) -1 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41 - 44. Suppose -j = -2*q - 4 - 5, -j + 4*q - 1 = 0. Which is bigger: j or y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of 57 + 1\/6*j**2 + 1\/12*j**4 - 4\/9*j**3 + 2*j. Factor p(t).\nAnswer: (t - 3)*(t - 2)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -188, 5, 2, 3, 1.\nAnswer: -188, 1, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 2 = 8, 56*v - 107*v + 54*v - 4*u = -47 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 5*z**2. Let w(v) be the third derivative of v**5\/30 + 7*v**2. What is w(o(f))?\nAnswer: 50*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 2*q + 2*c - 3 = 0, 5*c - 24 = 4*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p - p - 3, 0 = -3*n + 4*p - 5 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 28 (b) -3\/77 (c) 0.5 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 342? (a) -2 (b) 906 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-173 + 21*l**2 + 173)*(l - 10*l - 4*l - 3*l**2) to the form p*l + w*l**4 + r*l**2 + z*l**3 + a and give z.\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-36)\/(-180) + (-9)\/(-5). Find the third derivative of -17*d**5 - 8*d**5 + 15*d**5 - 53*d**2 + s*d**4 wrt d.\nAnswer: -600*d**2 + 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 3*i**2 + 98*i + 125. What is d(-14)?\nAnswer: 909","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 32*v. Let j = 167 - 192. List the prime factors of c(j).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 1 - 2)*(2*z**2 - 4 + 4) - 9794 + 97090*z**2 - 97088*z**2 - 595 to the form q*z + i*z**2 + b and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**2 + 15*b + 12 = 0. Calculate b.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of a**5\/20 - 7*a**4\/12 - a**3\/6 + a**2 + 2*a. Let w be q(7). Let b be (7 + (2 - 5))\/(4\/6). Put b, w, 4 in descending order.\nAnswer: b, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1726? (a) 3 (b) 1 (c) 20 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 0*f + 4*x - 2 = 0, -4*x = -5*f + 19. Suppose 2*h + 0*h = j - 1, 5*h + f = -2*j. Is (h - -1)\/4 - -19 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -805255.55 to the nearest 100.\nAnswer: -805300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3972 + q**2 - 3972. Let k = 0 - 1. Let z(s) = -2*s**2 + s - 1. What is k*z(m) - 4*u(m)?\nAnswer: -2*m**2 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**3 + 30075*y**2 - 4106550*y + 83820000 = 0.\nAnswer: -10160, 25, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 156950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3000 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7841 is divided by 1125?\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30671 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + 6. Suppose -5*b + 3*j + 105 = 0, j + f - 97 = -5*b. What is the highest common divisor of 126 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 3*j**5 + 252*j**4 - 3843*j**3 - 164856*j**2 - 1364940*j - 3388176 = 0.\nAnswer: -92, -11, -6, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4*n = 8*o - 56, 4*n - 52 = -4*o. Suppose 0 = 19*w - 16*w - o. Solve r - 7 + w = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*q = 164 + 61 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5519.582km to nanometers.\nAnswer: 5519582000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2 - 9 - q**2 + q**2 - 5*q + q**2. Is l(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3.42 and -0.002012855.\nAnswer: 3.417987145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(19) - (sqrt(304) - sqrt(19))) + sqrt(76)\/sqrt(4) + -2 + 3 - (6*sqrt(684) - (0 + sqrt(76)\/sqrt(4))**2).\nAnswer: -37*sqrt(19) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 6:01 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a**4 + 16767*a**3 + 284813*a**2 + 1055169*a - 1356750 = 0. What is a?\nAnswer: -16750, -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (24\/16*4\/10)\/(1\/1395). What is the greatest common factor of i and 124?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)\/sqrt(2) - sqrt(55))*4 + -6*sqrt(55)*2)\/((sqrt(1375)*-1)\/sqrt(11)).\nAnswer: 12*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**4 - 2 - 2*l**4 + 2*l**4 + (0*l**2 - l**2 + 3*l**2)*(0 + 0 - 2*l**2).\nAnswer: -2*l**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3139500 and -536005.3.\nAnswer: -3675505.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 10 = 5*w, -6*w + z + 10 = -w. Suppose -w*m + 18 + 0 = 0. Suppose 0 = -g + m + 10. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 11:41 PM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**4 - 3*k**3 - 7*k - 137 + 137 as i*k**4 + v*k**2 + s*k + z + q*k**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2392 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5 + 1 = 0. Is (z + -9)*1*-1 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**3 + 11*q**3 - 5*q**3 - q**2 as s*q**2 + d*q + v + g*q**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 67*j**3 - 1611*j**2 + 56*j + 416. Determine u(24).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1726, -1730, -1744, -1774, -1826, -1906, -2020?\n\"Answer: -w**3 + w**2 - 1726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 2*d**2 + 2*d. Let w(v) = -v**3 - v**2. Let u(b) = 19*b + 93. Let x be u(-5). Give x*w(g) + m(g).\nAnswer: g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 4:11 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -0*x + 3*c - 32, 40 = 4*x + 5*c. Let q be 2 + 0 + -5 + x. Differentiate q*k**2 + 4*k**2 + 5 - 2*k**2 with respect to k.\nAnswer: 8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17948\/281 - 53639511\/840190. What is the common denominator of -8\/115 and i?\nAnswer: 2990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f + 3. Let m be 4\/14 - (-68)\/7. Let j(i) = i**2 + 2*i - 45. Let a be j(-7). Let x = m + a. What is u(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -4*o + 9. What is k(7)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, n: 3, t: 3, f: 4}. What is prob of sequence nnvn?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 3:41 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 207 = 2*h, -o + 47 + 236 = 3*h. Calculate the highest common factor of h and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4*p - 14 = 0, 2*g + 2*p = 5*g - 10. Suppose -g = 5*i + 18, -2*i - 28 = 4*a. Suppose 3*n + n = -28. Sort 1, a, n in descending order.\nAnswer: 1, a, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (11 + -4 - (-4 + 2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/3, -3, 1.724, -2 in decreasing order.\nAnswer: 1.724, 1\/3, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4147979?\nAnswer: 11, 557, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 405758.28 to the nearest 1000.\nAnswer: 406000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(4 + ((sqrt(396)\/sqrt(11) + sqrt(36))*-5)\/(sqrt(18)\/sqrt(6)*5) + 2))**2.\nAnswer: -1728*sqrt(3) + 3024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**3 + 4*l**2 + l - 2. Let t be i(-2). Let u be 2\/8 - 63\/t. Suppose -5*b + u = -3*b. Calculate the highest common factor of 88 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -10 + (6118\/(-21))\/(-19). Let y(t) be the first derivative of -2\/3*t**6 - 2 - 6*t**4 + 16\/5*t**5 - 2*t**2 + n*t**3 + 0*t. Factor y(p).\nAnswer: -4*p*(p - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -z**4\/12 - z**3\/3 + z**2 - 2. Let m(w) be the second derivative of i(w). Determine m(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-7)\/28)\/((-2)\/8). What is the remainder when 59 is divided by v*(-1 - (-2 - 2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 + -39.8. What is the nearest to 2 in n, 0, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2414, 2417, 2420, 2423, 2426?\n\"Answer: 3*s + 2411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 d when four letters picked without replacement from {t: 3, d: 3, c: 6, o: 3}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 - -1.2. Suppose 2*g = -3*l - 65, -37 = 3*g - 2*l + 41. Which is bigger: v or g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2.33, -0.1, -2\/7, 4, -1073?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 61222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -17, -2\/25, 2?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 561 and 3645?\nAnswer: 681615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -a**3\/3 + 13*a**2\/2 - 8*a. Let v be u(4). Suppose -2*z - 36 = -3*o, 4*o = -0*z - v*z + 25. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 11*t**2. Let v(d) = -6*d**2. Determine c(v(k)).\nAnswer: 396*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*y - 2*i, -y - i + 4*i + 2 = 0. Find the second derivative of -233*b + 512*b - 5*b**y + 2*b**2 - 8*b**5 + b**2 wrt b.\nAnswer: -160*b**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*m - 5*m - 9*m)*(0 + 1 + 1 + (-2 - 3 + 4)*(-5 + 1 + 3) + 4 - 2 - 4 + 5 + 8 + 0) as v*m + a and give v.\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -i**7\/1680 + i**5\/30 + 2*i**2. Let c(f) be the third derivative of r(f). Let j(o) = o**2. Give j(c(m)).\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*y - 72 = 28*y. Let z be 39\/37 + (y - -17). Let m be 1\/1*(0 - -1). Which is bigger: m or z?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 176747, 706987, 1590757, 2828087, 4419007, 6363547, 8661737, 11313607?\n\"Answer: 5*u**3 + 176735*u**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6419 (base 11) in base 12?\nAnswer: 4ab6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 925*x = -1836*x + 38654 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8662584 rounded to the nearest 1000?\nAnswer: -8663000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + 3*d + 96. Let c = d + 27. What is the remainder when c is divided by 0 - -2 - (-52)\/4?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 11\/5 (b) 51 (c) -1\/4 (d) 0.03 (e) -7 (f) -1 (g) -0.01\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u**2 - 6*u**2 - 3*u**2 + 3*u**2 = 0. Calculate u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 35*p**3\/3 - 30*p**2 - 20*p + 60. Suppose l(n) = 0. Calculate n.\nAnswer: -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of j**5\/30 + 5*j**4\/6 + j**3\/6 - 6*j**2. Let b be i(-10). Sort -1, -4, b, -2 in ascending order.\nAnswer: -4, -2, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36 - -44. Calculate the highest common factor of 8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2175*k + 183. Let j(v) = 1088*v - 78. Calculate 3*h(o) + 7*j(o).\nAnswer: 1091*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = 2*a - 4*d, 11*d + 86 = -2*a + 12*d. Let s = 11 - -79. Let n = a + s. Calculate the remainder when n is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31569.\nAnswer: 3, 17, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201 + 218 - 672 - p**3 + 245.\nAnswer: -p**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2 - 23*k + 38. Let j be u(9). Is (14086 - 3) + j - -1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l**4 + 2*l**3 - 2*l**3)*(-2 - 1 + 5)*(10 + 1 + 2) to the form d*l**4 + u + v*l**3 + x*l + t*l**2 and give d.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.6, 5, 1\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1464721 is divided by 40.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 52*t**6 - 6*t**5 + 6*t**4 + 5*t**2 - 6*t - 16. Let b(v) = v**5 - v**4 - v**2 + v. Let q(p) = 6*b(p) + r(p). Find the third derivative of q(z) wrt z.\nAnswer: 6240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h**4 - 87*h + 2*h**3 - 1 - h**4 + 0*h**3 + 14*h**2 + 88*h in the form d*h**3 + y*h**2 + k*h + g*h**4 + a and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 936 + -935.609. Let u = -0.109 - r. Which is the second biggest value? (a) -3\/5 (b) u (c) 3\/7 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3*f = 2*f + 49612, -t - 3*f + 16542 = 0. Suppose -t = -21*i - 16*i. What are the prime factors of i?\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/(-21))\/(6\/(-3)). Put j, -1\/8, -5 in ascending order.\nAnswer: -5, -1\/8, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.7 + -8. Let j = 227\/4 - 57. Let q be (-24)\/(-36) + 8\/15. What is the second smallest value in v, q, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of 169*r**8\/336 - 351*r**7\/35 + 749*r**6\/20 - 859*r**5\/15 + 323*r**4\/8 - 15*r**3 + 2*r**2 + 261*r. Solve v(j) = 0 for j.\nAnswer: 3\/13, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - 8. Let b = 7.97 - a. Suppose -6*p - 267 + 237 = 0. Sort b, 0.2, 0.1, p in decreasing order.\nAnswer: 0.2, 0.1, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 * 11.51\nAnswer: -333.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -142.72687 to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 861795?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1010, 2014, 3012, 4004, 4990, 5970, 6944?\n\"Answer: -3*u**2 + 1013*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (6 - (-4 - -3 - -10))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a = -11*a - 3*b + 10, a - 2*b = 0. Let t(z) = -2 + 3*z - 5*z**2 + z**3 + 1 - 2. What is t(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1023988 to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -127\nAnswer: -5\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4687367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -16*(1 + (-1 - 12\/3)). Suppose p = -6*l + 14*l. Solve -3*k = l + 1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -133*m**2 - 8*m**6 + 0*m**3 + 0*m**3 + 107*m**2 wrt m?\nAnswer: -960*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*f**3 - 96*f**3 + 30*f**3 + 34*f**3.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -252 + 252. What is the nearest to d in -0.4, -4\/7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -696*v + 1381*v - 698*v.\nAnswer: -13*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*o - 25 = 2*o, o = 5*u - 5. Suppose -5*d - 6*s + 8*s + 171 = u, 2*d = s + 69. Let f = d + -14. Calculate the remainder when f is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 180\/8843 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5, -3, -1, 1?\n\"Answer: 2*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -391780 - -110805. Let s = m - -281025.9966. Let r = s + -51. What is r rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -64, -48, -38, -40, -60, -104?\n\"Answer: -p**3 + 3*p**2 + 14*p - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 35009138 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 9*w - 13772 + 13772 + w. Let q(g) = -647*g. What is q(j(x))?\nAnswer: -6470*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -81*k - 43*k - 3495 + 23 for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 157011861 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9315 + 32184 - 6285 = 651*f - 8403 for f.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**2 + 1 + 0*x**2 - 2*x**4 + 0*x**2 + 2*x**3 - 3*x**3 to the form b*x + i*x**4 + q*x**2 + y + m*x**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.18 - 0.72. Let w = 4.1 - l. Let o be 99\/(-60) + 245\/196. Which is the nearest to 1\/4? (a) w (b) -2\/11 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 10:28 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 take away -1.065437?\nAnswer: 8.065437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (4 + 11 - 13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 184.4606l?\nAnswer: 184460.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 79*f - 541. What is x(-8)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 67, 1, -18, 82 in ascending order.\nAnswer: -18, 1, 67, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1431 less than or equal to -333?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*r + 6*r + 2*r + ((1 + 1 - 1)*(4 + 0 - 3) + 2 - 6 + 2 + 1 + 1 + 0)*(-6*r - 5*r + 2*r))*(-2 + 6 - 3).\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by 2656?\nAnswer: -11\/2656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 328065 to the nearest integer?\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*t + 31*t + 6*t - 7*t to the form h + u*t and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 2:26 AM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(2\/4)*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 4:21 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*u - 1065 = -1085 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3\/11 + 45\/44. What is the nearest to 2\/5 in 0, a, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, r: 12, f: 1, j: 4}. Give prob of sequence jjjh.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z**2 - 24*z - 51. Let r(l) = -2*l**2 + 8*l + 18. What is 6*o(w) + 17*r(w)?\nAnswer: -10*w**2 - 8*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 122.68698958 take away -0.4?\nAnswer: 123.08698958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -27*z - 339. Let b(v) = 7*v + 84. Let p(i) = -i**3 - 13*i**2 + 12*i - 30. Let d be p(-14). Let o(j) = d*a(j) - 9*b(j). Differentiate o(c) wrt c.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 10:25 PM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*v = 2*w + 79*v - 42, 3*w + 2*v = 63. What is the remainder when 205 is divided by w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4018 - 1535. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**2\/7 - 405999100*a\/7 - 20604408650101250\/7 = 0.\nAnswer: -101499775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*b + 15*b, 5*b = 3*r - 33. Solve 3*u - r*n - 3 = -12*n, -5*u = 2*n - 6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-8)*3)\/((-5)\/(-10)) + -1. Let n(l) = -2*l**2 + l - 6. Calculate n(t).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 757758 a multiple of 1311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-48)\/(-9)*249\/332. Solve -z*s + 7*m = 6*m - 9, -3*s + 18 = 3*m for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of 11*b**8\/168 - b**5\/60 - b**4\/12 - 51*b**2. Find the third derivative of y(w) wrt w.\nAnswer: 1320*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*o - 14*o - 14*o)*(2 - 2 - 2*o)*(2 + 1 + 1) + 2*o**2 - o**2 + 7*o**2.\nAnswer: 96*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 48\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74034878?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -3*a**3\/2 - 21*a + 32. Let w(l) be the first derivative of f(l). Let h(u) = 3*u. Give 7*h(d) + 2*w(d).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 8) to base 3\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1562925)\/(-27) - -1 - (2 + -1)\/9 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vd when two letters picked without replacement from {v: 1, d: 2, q: 1, e: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 10445 = 1690. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -651b7 + -259?\nAnswer: -65443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -13. Suppose 5*n = -s*n + 575. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 3*i + 27 = 47, -b - 5 = -5*i for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -124301244001 - 0?\nAnswer: -124301244001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or 3\/158896?\nAnswer: 3\/158896","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30*((-714)\/(-136))\/21.\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 419.1 + -419. Which is smaller: u or -382?\nAnswer: -382","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 5 + 5. Suppose -2*x = -4*b + 14, -2*b + 10 = p. Is 2\/3 < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -169 (base 11) to base 2.\nAnswer: -11000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 71232\nAnswer: -5\/71232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3095361?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223 - 226 - 6*h + 160*h.\nAnswer: 154*h - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, h: 1, x: 3, c: 5, n: 1}. Give prob of sequence cxi.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 + 38. What is the units digit of j\/(((-20)\/150)\/((-8)\/10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4209 and 897?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - 9*a + 5. Let z be x(10). Let s = 10 + -6. Suppose -s*h + z = -1. Sort -5, h, 2 in increasing order.\nAnswer: -5, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4\/2413 + 217142\/16891. Let u = 1004\/77 - v. What is the nearest to 0 in u, -3, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5*m - 11 = 0, 2*k - 3*m + 8*m = 13. Suppose 0 = -k*l + 5 + 3. Let h(u) = u**3 - 4*u**2 + u + 3. Let f be h(4). Solve -f*o = -l*o - 20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**1)**(2\/89))**25*(j\/j**(-2\/7))**(-3\/5)\/(j*j*j**1*j*j)**(1\/4) assuming j is positive.\nAnswer: j**(-18187\/12460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 46945 and 50.\nAnswer: 469450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 118*c**3 - 85*c**3 - 290*c**3 + (8*c**2 - 8*c**2 + 2*c**3)*(1 - 1 - 1) to the form y*c**3 + a*c + f + d*c**2 and give y.\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*s**2 - 2*s**3 - 8*s + 144*s**4 + 10*s + 5 - 146*s**4 to the form j*s**3 + g*s**4 + p*s + d + u*s**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of s**4\/4 - 4*s**3\/3 + 2*s**2 - 4*s + 1. Suppose -4*b + 17 = 5*y, 3*y - 17 - 1 = -5*b. Calculate u(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**4 - 4*j**4 + 7*j**4 + (-17*j**2 + 65*j - 65*j)*(-3 + 2*j**2 + 3).\nAnswer: -29*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 13*c**2 - 18*c + 6. What is h(-14)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 4:55 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifty-one halves of a millimeter?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/2)\/((-5)\/(-2))*20. What is the third smallest value in -19, t, 0, 5, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 8*z + 4*z)*(33 - 33 + 12*z + (-10 + 7 - 10)*(0*z + z - 2*z)).\nAnswer: -25*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 601675495 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -354 + 1663. Let v = -432 + j. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -582, -650, -850, -1182, -1646, -2242?\nAnswer: -2970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -49*g**3 + 35*g - 35. Let r(b) be the second derivative of b**5\/20 - b**3\/6 + b**2\/2 + 7*b - 375. Give -3*d(n) - 105*r(n).\nAnswer: 42*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -770 - -775. Suppose 724 = s + z*f + 114, -4*s - f = -2383. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 299, 34, -231?\n\"Answer: -265*n + 564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5338 = 8*i + 682. Suppose -6*v + 1752 = -i. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1489 and 1463 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -130?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 21 - ((-16)\/4 - -4). Suppose -2*v - 4*z + 265 + w = 0, 617 = 4*v - z. Let g = 270 - v. What are the prime factors of g?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 2*n**4 + 2*n**3\/3 - n**2 + n + 2. Suppose 0 = y + 3, 8 = -7*t + 3*t - 4*y. What is o(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*f**2 - 78*f**3 + 30*f + 15*f**2 - 5*f**4 - 68*f**2.\nAnswer: -f*(f + 1)*(f + 15)*(5*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9, 5, 41?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 648\/288 - (-184806)\/8 - 4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 136 + -44301344.635.\nAnswer: -44301208.635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/4 - (-42)\/28. Let m(a) be the first derivative of 10*a - 18 + 3*a**3 - y*a**7 - 20*a + 10*a. What is the third derivative of m(x) wrt x?\nAnswer: -1680*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f + 0 + 1 + 1 + (-5 + 3 + 0)*(0*f + 2*f + 0*f).\nAnswer: -7*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u + 0 - 31*u + 0.\nAnswer: -27*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 4*m + 2. Let i(w) = 3*w**2. Let c be i(1). Let y be q(c). Suppose r - 7 + y = 0, -7 = -5*z - r. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 1742*q - 101. Suppose -3*g + 2*g = d - 12, -3*g = 5*d - 52. Is z(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*n + 119 = -7*n + 15*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 64*o + 2. Let m(d) = -2*d. Calculate x(m(w)).\nAnswer: -128*w + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -3*v**2 - 162*v + 165 = 0?\nAnswer: -55, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*a**2 + 11*a - 496 wrt a.\nAnswer: 12*a + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 162 = 3*q, -4*f + 295 = 3*q - 11. Let s = 81 - f. Solve -s = -5*l - 13 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 2*s - 23925. Let q = -79637\/10 - s. Calculate the common denominator of (-2)\/9 - 187\/(-18) and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -3*j - 2. Let o(r) = -r**3 - r**2 + 2*r + 1. Let p(k) = -3*k**3 - 4*k**2 + 7*k + 4. Calculate j*p(n) - 7*o(n).\nAnswer: n**3 - n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + -3 + 5 + 3 + 3 + -7?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.1, -1\/418, 0.26?\nAnswer: -1\/418","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -8231 (c) -220.9 (d) 5 (e) -2 (f) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 161632524, 161632529, 161632534, 161632539, 161632544?\n\"Answer: 5*b + 161632519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1683 at most 1679?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213376*a = -213415*a + 546 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 7*q + 10. Let k = -14 + 8. Let v be y(k). Suppose -v*t + 2 + 14 = 0. Calculate the remainder when 13 is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**(3\/4))**39)**(-9))**(-1\/7))**(10\/9) assuming y is positive.\nAnswer: y**(585\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -95*q + 96*q + 203 - 79 + (-7 + 2 + 3)*(0 + q + 0) + 2 + q - 2 - 2*q + 1 - 1 - 6 + q + 6.\nAnswer: -q + 124","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (8 + 15 + 8) - -54.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -2*c - 3*c. Let s be (c\/(-15))\/((-2)\/50). Let p be 2\/s + 2\/10. Solve -2 = a - p*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22360 + -41?\nAnswer: 22316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + 20*k + 50. Let w be f(-37). Suppose 2*a + 2*o = 500, 2*a - 2*o + 163 - w = 0. What is the remainder when a is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2699, -5309, -7831, -10259, -12587?\n\"Answer: k**3 + 38*k**2 - 2731*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -25306, -25237, -25168, -25099?\n\"Answer: 69*c - 25375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 = 17*r - 38. Suppose 0 = x + 5, 4*x = -2*y - r + 7. Solve -y*q + 11*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 6*d = 5*a + 4*d - 27 + 7, -6 = -5*a + 9*d for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 39461 to the power of 1\/2, to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -24) + 1 + -1.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-1 - (-143)\/141). Let y = n + 197. Is 28 a factor of y\/1 - (-2 + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 0.98. Let c = -121542 - -121541.9800194. Let o = c - v. What is o rounded to six decimal places?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 683 + 703 = 0. Let b = s - 176. Calculate the highest common divisor of 44 and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 31 - 49. Let i = 25 + t. Calculate the remainder when (3 + 0)*(-42)\/(-9) is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/2 (b) -2551 (c) 1 (d) 1159\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-24)*10380\/9688?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.2 - 3.20376. Round l to 4 decimal places.\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5260 a factor of 91444988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 89180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1, -3, -9, -17, -27, -39, -53?\n\"Answer: -u**2 - u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence caa when three letters picked without replacement from {c: 16, a: 2}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 74 - 71. Is q less than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3866, -7731, -11596, -15461, -19326?\nAnswer: -23191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mep when three letters picked without replacement from emqpmmtmpemppmpmqm?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(28)\/sqrt(4))**2 + sqrt(7) + 3.\nAnswer: sqrt(7) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 143 + -80 - 31 - 36.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -312 = -o - o. Suppose 3*w - 51 - o = 0. What is the remainder when w is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 24 - 10 = 0. Let b = 20076\/19057 - -6\/1121. Is b equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 1206?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 295\/184 - 34\/23. Which is the fourth smallest value? (a) 0 (b) 15 (c) -4 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-696658)\/(-1441))\/2 + 6\/22. Let -638\/3*q**2 + 256\/9*q - u*q**3 - 8\/9 = 0. Calculate q.\nAnswer: -1, 2\/33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -89*w**9\/252 - 41*w**5\/60 - w**4\/4 + 378*w**2. Find the third derivative of l(v) wrt v.\nAnswer: -21360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 66*z**2 - 17*z + 61. Let n be f(3). Let h = 606 - n. Factor 0 + 81\/2*c + 54*c**h + 27*c**3 + 6*c**4 + 1\/2*c**5.\nAnswer: c*(c + 3)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 27 = -47. Solve 0 = -s*m + 5*m - 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p - 68. Let x(l) = -4*l - 246. Determine -18*m(y) + 5*x(y).\nAnswer: -2*y - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y + 5. Let v be c(-7). Let z = v - -21. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 10, a: 4}. Give prob of sequence mm.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -762 times 0.39\nAnswer: -297.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 - 7337*b + 14660*b + 70*b**3 - 17*b**3 - 7322*b as k*b**3 + i*b + n + h*b**2 and give n.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-6)\/4)\/(-280 + 286)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 10115?\nAnswer: 30345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 2:40 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 653207983 to the nearest integer?\nAnswer: 25558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(-5) - (0 - -1). What is the units digit of 29 + -2 - (1 + n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0.11, 1\/3217, -1?\nAnswer: 1\/3217","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1401.\nAnswer: 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 207181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/3*(1 - -17). Let s(q) be the second derivative of q**5\/4 - 4*q**3\/3 - 2*q. Let l(a) = 11*a**3 - 17*a. What is r*l(d) - 13*s(d)?\nAnswer: d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -214630711 divided by -1123721?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -11, 1\/3, 46, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 50 = 7*y. Suppose 0 = -k + 38 + y. Is k a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/1*15\/(-12). Let c = u - -10. Suppose -2*f + 5*f = -2*r + 30, -3*r + 4*f + 11 = 0. What is the lowest common multiple of c and r?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -64, -93, -138, -205, -300, -429, -598, -813?\n\"Answer: -j**3 - 2*j**2 - 16*j - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*(0 - (-2)\/12 - (-3007)\/1164)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 9\/16 of a week?\nAnswer: 5670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 16345.56 + 118\nAnswer: 16463.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -78 in 20, -4\/3, 0.257?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 178 and 8.\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -3.2. Let o = -9 + 9.06. Let y = 0.04 + o. Is y > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 11*d + 1. Let v be b(-11). Does 21 divide v\/3 - 6\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 232834566 divided by 840558\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**3)**(13\/6)\/(d**(-1\/2)\/(d**0*d)) assuming d is positive.\nAnswer: d**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4750822 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 10*q - 7*q + 8*q + 6*q. Let a(y) = 4*y**2 - 4. Let h(o) = -11*o**2 + 10. Let v(i) = -10*a(i) - 4*h(i). Calculate v(r(z)).\nAnswer: 1156*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m**2 + 17. Let u(l) = -l. Give u(x(w)).\nAnswer: -4*w**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 3*a = -0*x + 7, 5*x - 17 = -a. Suppose -17 - 15 = -x*r. Solve 4*w - 4*j - r = -0, -5*j = 3*w + 10 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**7\/c**(-1\/4))\/((c\/c**(-2\/13))\/(c**(3\/8)\/c)))\/((c**(1\/4)\/c)**(8\/3)\/((c**(-1)*c*c*c)\/c)**(1\/15)) assuming c is positive.\nAnswer: c**(11759\/1560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 1, 0.07, 3, -24, -5\/17?\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 divided by -120?\nAnswer: -607\/120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f - 32. Let x be l(-8). Let v(g) be the third derivative of 0 - 2*g**2 + x*g**4 + 1\/240*g**6 + 0*g - 1\/120*g**5 + 0*g**3. What is b in v(b) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1964a3 + -8?\nAnswer: -1964ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*c**4 + 15115707*c**3 - 125253962*c wrt c.\nAnswer: -48*c**2 + 90694242*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - (0 - 0)*(-4)\/12. Suppose i*z + 19 = -5*r, -2*z + 5*r = 2*r - 19. Solve -2*g + z*l = 7*l + 10, -2*g + 2 = 2*l for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -6\/11 (b) 1\/52 (c) 0.4 (d) -29 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19.23 - 19. Let x = 0.77 + h. Let w be ((-1)\/(-2))\/((-6)\/4). Which is the nearest to x? (a) w (b) 1\/7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1579?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 5\/4 (b) -25 (c) 2\/13 (d) 10\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 200894421 divided by -28699203?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 4*t - 3. Let r be d(4). Let g be (9\/(-3))\/r*-2. Is ((g - 9)*-1)\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23177?\nAnswer: 7, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -10\/13, 1268, 215 in increasing order.\nAnswer: -10\/13, 215, 1268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3722 - 26018\/7. Suppose -d - 30 = 4*d. Find the common denominator of d and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -53 and 0.4.\nAnswer: -21.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d - d + 6187*d**3.\nAnswer: 6187*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 6*u**2 + 1 - u**2 + 3*u - 3*u**2. Let d be o(3). Solve 4*j + d = -3*z - j, 4*j = -5*z - 25 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3182 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -40560 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 13) in base 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 157690063?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40354 - 2259937\/56. Find the common denominator of j and 85\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14b (base 16) to base 9\nAnswer: -407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 282500507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (19 - 110 + 55)*(-p + 2*p + 4*p) + (-2 + 1 + 3)*(p - 2*p + 13*p) as j*p + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**2 - 31 + 29 + 6*b**2 + 2.\nAnswer: 11*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**3 - 14*y**2 + 10*y + 14. Calculate u(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fggujfgufggfjjugj. What is prob of sequence uj?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -1\/150*m**5 + 0*m**3 + 0 - 2*m - m**2 + 0*m**4. Let p(x) be the first derivative of h(x). Factor p(r).\nAnswer: -2*r**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3969 and 65709?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 1874?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1936 and 7664?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (32 + -2)\/(1 - 3\/(-6)). Let u = -1445 + 14431\/10. Find the common denominator of u and (-6)\/n*(-376)\/(-24).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 3:15 AM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(33) + sqrt(528))\/sqrt(11) + sqrt(3))*-1 + 4)**2.\nAnswer: -36*sqrt(3) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.4 and -4.088528.\nAnswer: -9.8124672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 5*b. Let g be u(-6). Let r(n) be the third derivative of n**6\/120 + n**5\/12 - n**4\/6 - 20*n**2. What is r(g)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -48496.\nAnswer: 11\/48496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59622 is divided by 13277?\nAnswer: 6514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1209184 and 25868.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - sqrt(117)*-2)\/sqrt(9) - (2 + sqrt(13) + 1))**2.\nAnswer: -12*sqrt(13) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31150000 rounded to the nearest 1000000?\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 12*m**2. Let i be j(-12). Suppose i = -10*r + 2 - 2. Sort -8, r, 4 in increasing order.\nAnswer: -8, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27662715*k**5 + 36696773*k**2 wrt k?\nAnswer: 1659762900*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = 840*g - 844*g + 4*q, 0*g + 2*g = q - 32 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 130*(-84)\/420*1?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9074385*f**5 + 757*f**2 + 2*f + 39 wrt f?\nAnswer: 544463100*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-3 - (-7 - -8))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5\/2332 - -73483\/11660. Calculate the common denominator of z and -63\/914.\nAnswer: 4570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 4)*(4 - 3 - 4)*(0*c**4 - 6*c**4 + 4*c**4).\nAnswer: -12*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from rtetuewyutwyet.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.121*89.\nAnswer: 633.769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 92753448 smaller than 92753452?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3760 * -5\nAnswer: 18800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6552 divided by 3.\nAnswer: 2184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 5*a**2 - 56*a + 11. What is y(-11)?\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 928 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*c + t - 4, t = -4*c - 5. Suppose -3*s + r + 486 = 0, c*s - s = 2*r - 155. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 371 = 3*o - 76. Suppose -2*u + 31 = -2*z - 29, -5*u = -4*z - o. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -18 + 218. Suppose -b = -7*v + 2*v + 5*r, -r + 38 = 5*v. Does 22 divide v\/6*(-66)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 429 and 10218?\nAnswer: 112398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/40 of a millimeter?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*p - 13*p**4 - 28*p - 2*p**3 - 23*p - 1 + 36*p - 28*p + 3*p**2 to the form u*p**3 + q*p + x*p**4 + y*p**2 + b and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mymmmvvyo. Give prob of sequence om.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -16*c**2 + 36*c - 13. Let l(g) = 3*g - g**2 + 3 - 3*g - 9*g + 5*g**2. Let q(w) = 6*h(w) + 26*l(w). Find the second derivative of q(j) wrt j.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -132*j + 2770. Let t be l(21). Let y = -199\/45 + 38\/9. Which is the nearest to -1\/4? (a) 0.05 (b) y (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 5*r**2 + 3*r. Let l be h(-2). Suppose -64 = -5*m - l. Let s be m\/4*(-14)\/7. Which is the second biggest value? (a) 2\/11 (b) -2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -12*d**3 - 10*d**2 - 4*d - 10. Let y(h) = -h**3 - h**2 + 1. Let k(o) = -v(o) + 5*y(o). Let p(a) = 4*a**3 + 3*a**2 + 2*a + 8. What is 3*k(c) - 5*p(c)?\nAnswer: c**3 + 2*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, j: 1, i: 1, l: 1}. What is prob of sequence lhh?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*f + 8*o - 9*o = -12*f - 10, -3*o = 3*f - 12 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 5*l**2 + 7*l + 6. Let h be u(-6). Let m be (h - 1) + 1*45. Let i = 10 - 6. What is the highest common factor of i and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1110.\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1353522 to the power of 1\/2, to the nearest integer?\nAnswer: 1163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -2\/9, 0, 5, -0.3, -4 in increasing order.\nAnswer: -4, -0.3, -2\/9, 0, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2644.5 and 1.7?\nAnswer: 4495.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -9*q - 85. Let z be l(-9). Put -3, 4, z in ascending order.\nAnswer: z, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9353*o**3*q**5 + 124*o**3 - 236*o**2*q**2 wrt q?\nAnswer: -561180*o**3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 7024 = 1852. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1569?\nAnswer: 3, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 2*s + 12 = 0, 0*q - 4*s - 19 = 3*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 455 is divided by 76?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(-1) + (-3)\/(-3). Let w(x) = x**3 - 7*x**2 + 6*x - 1. Give w(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1755, -3517, -5301, -7119, -8983, -10905, -12897, -14971?\n\"Answer: -2*b**3 + b**2 - 1751*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9360000 rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -67, -65, -63, -61, -59?\n\"Answer: 2*j - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z + 3. Suppose 2*i + 48 = 6*i. Suppose -3*r + 5*x = 25, -r + 5*r = -4*x - i. What is the units digit of k(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19422, -21130, -22838, -24546, -26254, -27962?\nAnswer: -29670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 491534 and 1436158.\nAnswer: 2746","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41424101 (base 5) to base 13.\nAnswer: -bcb07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -14. Let r(n) = -3*n**3 - 30*n**2 + 34*n + 30. Let h(x) = x**3 + 10*x**2 - 11*x - 10. Let l(v) = -17*h(v) - 6*r(v). What is the tens digit of l(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.6 - 1.9. Which is smaller: r or -2\/15?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -25) + 2 - (185 - (-123 + 320))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(4 - (5 + 0)). Solve o = 5*n - 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49505244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4*z**2 + 8*z - 5. Let u(n) = -4*n**2 + 7*n - 3. Calculate -2*a(l) + 3*u(l).\nAnswer: -4*l**2 + 5*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-9)*-2 - 100\/(-6). Let i = -793 - -119. Let d be 1\/(-3) + i\/(-6). Calculate the greatest common divisor of q and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 49*h - 1572. Let u(l) = -4*l. Calculate u(d(k)).\nAnswer: -196*k + 6288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 9 = a, 2*a - 4 = -4*t + 8*t. Let g(i) = 3*i**3 - i**2 + 8*i - 6. Let r(q) = q - 1. Calculate t*g(z) - 6*r(z).\nAnswer: 3*z**3 - z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.211 to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 168 and 30576.\nAnswer: 30576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10 + ((-3)\/(-2))\/((-13)\/26). Let h = -6 + 13. What is the greatest common factor of k and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, c: 1, j: 2, e: 1, d: 2}. What is prob of sequence ce?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39484279.\nAnswer: 79, 499801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that w**5\/5 + 23*w**4 + 2053*w**3\/5 - 6131*w**2\/5 - 6214*w - 4600 = 0.\nAnswer: -92, -25, -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 180839 and 150916?\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -5 - 8*r + 3 - 16*r. Let z(w) = -w**2 + 7*w - 7. Let m be z(6). Is 6 a factor of q(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35559 by -12.\nAnswer: -11853\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23 + 21024?\nAnswer: 21051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/(-36) + (-2 - (-27)\/12). Suppose 26*s - 30*s + 780 = m. What is the highest common factor of 78 and s?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 3:21 AM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of 1303*f**6\/15 - 80*f**2 - 241*f. Differentiate c(d) with respect to d.\nAnswer: 10424*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -17392 (b) -3 (c) 0 (d) 5 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -4*t + 19. Suppose -t = -n - 3*p, 0 = 4*n - 2*n + 3*p - 26. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f. Let w(a) be the first derivative of 9*a**2\/2 - 2. Determine i(w(x)).\nAnswer: -18*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/42 and -107\/5497044.\nAnswer: 5497044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 409?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -30535 divided by -5\nAnswer: 6107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.2 - 2. Let w = -0.08 - -0.38. Let n = 304 + -304.1. Which is the closest to j? (a) n (b) w (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 136*w - 1. Let p(d) = 45*d. Let k be ((-20)\/(-8))\/5*14. Let i(g) = k*p(g) - 2*a(g). Is i(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8325 - -2?\nAnswer: -8323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.524 rounded to 0 decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 4:13 PM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 48 = -160. List the prime factors of k.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -71046*k + 191398 wrt k?\nAnswer: -71046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.08, 0.59, 0.2, 0.\nAnswer: -0.3, -0.08, 0, 0.2, 0.59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a gram in milligrams?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -33*t + 7. Let g(p) be the first derivative of 11*p**2 - 5*p - 2829. Determine 7*g(v) + 5*r(v).\nAnswer: -11*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of 7*m**4\/3 - 61*m**3\/6 - 158*m**2. Differentiate r(g) wrt g.\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4375 - 4373.3. What is the second biggest value in 142, -1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 5*v - 7. Let l(a) = 9*a - 14. Let s(w) = 11*h(w) - 6*l(w). Suppose -4*t - 15 = -3*z, 0*t - 2*z = -3*t - 10. What is s(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 6, g: 7}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*w - 76 = 163*w. Which is bigger: 23\/72 or w?\nAnswer: 23\/72","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(112) - (sqrt(7) - (-5 + sqrt(112))).\nAnswer: 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**4 + d**2 - d**2 + (-4 - 2 + 4)*(d**4 + 0*d**4 - 3*d**4) + 6*d**2 - 8*d**2 + d**2 - 23*d**4 as r*d**2 + l*d**3 + q + p*d**4 + i*d and give p.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 725dd (base 14) in base 15?\nAnswer: 569ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4*-1)\/1*-10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -123 - -125. Let i be 4\/(-1 + -1 + 1). Let w be (8\/6)\/(i\/(-6)). Solve 0*g + w*h = 3*g - 10, 3*h - b = -4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 7 = -3*f. Suppose 6*t - 10*t + 12 = 0. Put -3, t, f in decreasing order.\nAnswer: t, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*s + 13*s**3 - 18*s**2 - 46*s - 12*s**3 + 38.\nAnswer: (s - 19)*(s - 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22594038 a multiple of 193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -775*q + 1122 wrt q?\nAnswer: -775","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106 = v - 5*z, -3*v - 4*z - 791 = -1625 + 753 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -329864 divided by 22\nAnswer: -164932\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 7*k - 8. Let s be z(6). Let c be ((-836)\/95)\/(-22)*140\/(5 - 1). Let m(w) = w**3. Let y(v) = 6*v**3 - 2*v. Calculate c*m(j) + s*y(j).\nAnswer: 2*j**3 + 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 3*b - 7. Let o(f) = 9*f - 6. Let y be o(-4). Let j be 186\/y - (-4)\/(-7). Calculate r(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 + 241*h**3 - 32 + 148*h**3.\nAnswer: 389*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 115\/(-4)*(-3 + -9 + 8). Let y be 2 + (-4)\/(380\/t). Which is greater: y or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*q + 11*q + 62. What is the common denominator of 85\/24 and q*(51\/27 + -2)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 855 and 26382735?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10888 is divided by 1209?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*w - 40*w + 2*v + 401885, -2*v = 4*w - 321508. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -191\/1062 - 5\/118. Which is the fourth smallest value? (a) p (b) -23 (c) 2 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**3\/9 + 148*m**2 + 76936*m\/3 + 2975728\/9 = 0 for m.\nAnswer: -326, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(((-30)\/(-27))\/(-5)). Let t(k) = -k**3 - 9*k**2 - k + 6. Let s be t(n). Solve -q + s = 3*v, 4*v - 3*v - 5 = 5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 20 = 0, -3*d + d - 5*i = -97. Let t(r) = -15*r - 69. Let p be t(-13). Calculate the highest common factor of p and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -101*k**4 - 12*k**3 - 116*k - 6. Let n(d) = -100*d**4 - 10*d**3 - 117*d - 5. Let b(h) = 5*l(h) - 6*n(h). Find the second derivative of b(i) wrt i.\nAnswer: 1140*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 395, 376, 345, 296, 223, 120, -19, -200?\nAnswer: -429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 455*c**3 + 153*c**2 - 895*c**3 + 3 + 442*c**3 - 31.\nAnswer: 2*c**3 + 153*c**2 - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9206.713ns in microseconds?\nAnswer: 9.206713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 723.781s?\nAnswer: 723781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o = 89 + 164. Let i = 32 + o. What is the lowest common multiple of ((-91)\/26)\/(-1*(-2)\/(-12)) and i?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/367 in 2, 5\/7, -6.68?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 247097 < 247192?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1851 plus 327.83?\nAnswer: 2178.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 55.6 - 56. Let a = -0.05 - 3.95. What is the nearest to 1 in a, b, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 + 17 + -2 + -5 - (5 + 9 + -7)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 3*b + 136 = 0. Let x(q) = 8*q + 40. Let l be x(b). What is the highest common factor of 22 and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -27, -11, 9, 27, 37, 33, 9, -41?\n\"Answer: -j**3 + 8*j**2 - j - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**2 + 4*m**2 + 2*m**4 + (3*m**3 - 3*m**3 - 2*m**3)*(0*m + 3*m - 2*m - 3*m + 3*m + m + (-2*m + 3*m + 0*m)*(2 + 4 - 2)).\nAnswer: -10*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12929661?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4*o - 5*o + 1 - 4*o**2 + 3*o**3 - 2. Let g = 7 + 7. Calculate the remainder when u(3) is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194379 to the power of 1\/2, to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 46176429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -7\/3091?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1891 divided by 2?\nAnswer: -1891\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -6*v**4 + 28*v**3 + 4*v + 9. Let z(y) = y**4 + y**3 - y + 1. Suppose -4 = 2*o - 12. Let i(x) = o*z(x) + w(x). Differentiate i(j) wrt j.\nAnswer: -8*j**3 + 96*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 13) + 3 - -12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3368 * -2176.\nAnswer: 7328768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**(2\/13)))\/b**8)**(-40)\/(b**(-1)\/b**(-8))**(4\/15) assuming b is positive.\nAnswer: b**(63236\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((0 + sqrt(19))**2 + 5 - (sqrt(684)*1)**2) + -2*-3*sqrt(38)\/((-1*sqrt(22))\/sqrt(11)).\nAnswer: -662 - 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -676708479 divided by 75189831\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y + 0*y + 0*y)*(2*y**2 + 0*y**2 + 0*y**2) + (2*y - 2*y - y)*(486*y**2 + 2621*y - 2621*y) as u + o*y**2 + a*y**3 + g*y and give a.\nAnswer: -490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 79 - 78. Suppose 6*u = 4*u + 8. Suppose -2*t - 12 = -3*h + b, -u*h - 6 = 2*t. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3496197 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/4 - (97448\/32)\/13. Let z be (v\/10 - -5)*-70. Calculate the greatest common factor of 35 and z.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 3*l - 5*u - 9, 0 = 5*u + 20 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7206454487.\nAnswer: 78929, 91303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 31*l. Let y(g) = 859*g**2. Give m(y(z)).\nAnswer: 26629*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27\/101 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -18 + (-2)\/(-4) + 6\/4. Let f(m) = m**3 + 7*m**2 + 7*m - 2. Let w be f(-6). Let r = w - y. Solve o - r = -o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -0.1, 3\/4, 0.69?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43949391?\nAnswer: 3, 14649797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**2 - 17*k - 4. Let t be w(-8). Solve -t*b - 12 = -b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 372*l**3 + 3*l**2 - 6*l + 5. Suppose -47*y - 1 = -48*y. Calculate the remainder when x(y) is divided by 75.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 540433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1*sqrt(847) + -3 + 4 + 1 + sqrt(847) + (-5*(sqrt(70) + sqrt(70) + sqrt(70)*2) - sqrt(70))\/(sqrt(90)*2))**2.\nAnswer: -74*sqrt(7) + 9599\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**3 - 2*b**2 - 4*b + 10. Let n be g(6). Let x = n - 29. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 102*p - 2587. Determine v(48).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17 - 9405.\nAnswer: -9388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(156)*-5)\/sqrt(12) + -5*sqrt(26)\/sqrt(2)*-6 - (-4 + 2*sqrt(117) + 5*(sqrt(1573) + 1)))**2.\nAnswer: 82*sqrt(13) + 21854","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42.9 - 26.9. Sort 2\/9, 0.6, -1\/3, f, -2.\nAnswer: -2, -1\/3, 2\/9, 0.6, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2247 - 1351. Let g = -1 + 1. Suppose -j = -g*t - 4*t. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 12*s**2 + 6*s + 12. Let j be (9\/4)\/(((-315)\/56)\/15). List the prime factors of d(j).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 3*m - 5*m - 10 - m in the form y*m + c and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p - 14. What is n(-16)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 r when three letters picked without replacement from jrjrddddejrdeddjd?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.488 to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 765?\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of 3*z**5\/20 - z**3\/2 - 7*z. Factor x(n).\nAnswer: 3*n*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16829 - -28298. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236 = 18*n + 5*v, 114 = 5*n - 3*v + 224 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4*d = 140, 3*d + 102 = 3*v - d. Is 16 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oyyyyoyooo. What is prob of sequence oo?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 3 + 3, -g - c + 3 = 0. Let f(k) = -k**3 + 2. Let b be f(g). Find the second derivative of 3*x**b - 3*x**2 - x - 3*x**2 wrt x.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i + 2. Let t be x(3). Let q be t\/9*(-21)\/98. Is q at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 4*u = 909216. Let b = 5683584\/25 - u. Let i = b - 9583\/300. Calculate the common denominator of -62\/9 and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/136? (a) 5061 (b) -0.2 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 161813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2657 (base 12) to base 16.\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1248*n + 836 + 6198 = 794 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -15) + -9 + (-23 - -38)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10011020 - 11?\nAnswer: 10011003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(4\/5)\/(w\/w**(3\/5))*((((w**0*w)\/w)\/w)\/w)**(-1\/16))\/(w*w*w*w**(-6)*w\/(w*w*w**(-2)))**(-23) assuming w is positive.\nAnswer: w**(-1819\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2011*a**2 - 187 - 2016*a**2 + 4027*a**2 - 5429 - 878*a**4 wrt a.\nAnswer: -3512*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*o**3 + 160*o**2 - 320*o**2 + 11*o**3 - 31*o**3 + 161*o**2 in the form p + j*o**3 + h*o + t*o**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 41, 46, 53, 62, 73?\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*x - 5*x - 8*x - 8661.\nAnswer: 6*x - 8661","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 (base 10) in base 2?\nAnswer: -1100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11.54099 and 107.\nAnswer: 1234.88593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**3 - 7*a**2 + 5*a + 3. Let n be c(4). Let x be 2\/8*-2*-94. Suppose 18 = 5*u - x. Calculate the greatest common factor of n and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 590.\nAnswer: -1\/295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3 + (0 - 785))*(-75)\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000101100010011 + -100?\nAnswer: 100000101100001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 13\/4 of a microgram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3 = 4*f. Suppose 4*u + 22 - 42 = 0. Suppose -30 = -3*q - 7*m + 4*m, -q + 26 = u*m. What is the highest common divisor of f and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4327127863?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 = 4*y + 3*y. Suppose 11*v - y = 6*v. Suppose r + v = -1. Let h(o) = 4*o**2 + 2*o + 6. Let c(m) = -5*m**2 - 2*m - 7. Determine r*h(p) - 6*c(p).\nAnswer: 2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 10*k**2 + 12*k + 27. Let g be z(-9). Let b be (4\/(-94))\/(-3 + 6). Which is smaller: g or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*j**2 - 44 + 2*j - 26 + 76 - 4*j to s*j**2 + x*j + c and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30056 = 38*c - 72*c. Let i = -272 + c. Which is bigger: i or 613?\nAnswer: 613","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1806597316 at most as big as 1806597315?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1*(2\/4)\/((-15)\/(-6))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002398 to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -5*o - 5, 7*o - 5*o = 5*l - 8. Find x such that -3*x - 3\/2*x**l - 3\/2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14008, -55529, -124710, -221533, -345980, -498033, -677674?\nAnswer: -884885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n**2 + 1. Let b(c) = 4*c**2 - 148*c - 148. Let s(d) = -b(d) - 2*k(d). Suppose s(g) = 0. What is g?\nAnswer: -73, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -242 - -843. Calculate the remainder when i is divided by 101.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89030519 to the power of 1\/2, to the nearest integer?\nAnswer: 9436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -5*y + 1 + 9, 0 = 5*y + 2*a - 10. Find l, given that 15\/4*l + 3\/8*l**y + 75\/8 = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b + b**4 + 8*b**2 - 5*b**4 + 4*b**4 - 2*b**4 - 1 to the form a + s*b + z*b**3 + o*b**4 + f*b**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1148816767 rounded to the nearest 100000?\nAnswer: -1148800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3*d = -l - 25, 4*d = -4*l + 40. Let j = -10 + 8. Sort j, l, -4.\nAnswer: -4, j, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m - 50 - 10 = 0. Let g = 13 + -8. Solve 2*a + g*s = m, 4*s = 3*a - 2 - 17 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.6 - -2.9. What is the second smallest value in -1\/5, 0, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -0.16, -129, 88 in decreasing order.\nAnswer: 88, 4, 3, -0.16, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3537*x = 3031*x + 23276 for x.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h + 1. Suppose 21*l = 31*l - 30. Suppose 2*t - 16 = -4*f, -2*f + f = -2*t + 1. Let u(q) = 2*q - 1. Determine l*u(d) + t*p(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 33 (b) 0 (c) 0.2 (d) -3 (e) -454 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 258, 5, -13, -73 in increasing order.\nAnswer: -73, -13, 5, 258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 + 4138*d - 2507823. Calculate a(490).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 316 divide 20577200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-59)\/(-1))\/(43\/559) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1213, 21, -45 in ascending order.\nAnswer: -45, 21, 1213","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/3)\/(1\/3) + 18. Calculate the greatest common divisor of 208 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3312501529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 7*a**2 + 8*a + 2. Let d be n(2). Let l be (d - -6)*(-15)\/(-30). Solve l*p = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 607183822 divided by -5.\nAnswer: -607183822\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 16*t - 4157 + 1891 = -1666 for t.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 85 + -80.1. Let o = -5 + j. Let b = -212.4 + 185.4. Which is greater: o or b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**4\/4 + 39*r**3\/4 - 30*r**2.\nAnswer: -3*r**2*(r - 8)*(r - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttdv. What is prob of picking 1 t and 1 d?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -0.74\nAnswer: 3.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + l**2 + l. Let p(q) = -q**3 - 3*q**3 + q + 6*q**3 + 10*q**2 - 9*q**2 - 16. Let d(y) = -j(y) + p(y). What is the derivative of d(k) wrt k?\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 15\/4384 (b) -16 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1659 + -33063\/20. Let h(p) = -p**2 + 3*p + 3. Let a be h(5). Calculate the common denominator of 137\/(-10) + a + 10 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f - 4*f + f)*(-4 + 0 + 5) + (-1 + 2 + 0)*(-f + 1 - 1).\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 511660 = 11*d - 54950. What are the prime factors of d?\nAnswer: 2, 3, 5, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/392 and 131\/910?\nAnswer: 25480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -7*l + 3. Let k(v) = 125*v - 55. Let w(d) = 110*h(d) + 6*k(d). Let y(m) = 2*m**2. Calculate y(w(i)).\nAnswer: 800*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 187 - 210. Let m = j - -25. Solve 0 = -u + m, -5 = -2*q - u + 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of d**6\/120 + 51*d**5\/10 + 2601*d**4\/2 + 176868*d**3 + 22*d**2 - 18*d. Let j(y) = 0. What is y?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1407 divide 628206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -u**2*z**3 - 2*u**2*z**2 - 14*u**2 + 5*u*z**3 - 123*z**3 wrt z.\nAnswer: -6*u**2 + 30*u - 738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 13 = -r, 4*r - 7*b - 17 = -4*b. Suppose -3*a = r*a - 20. Let v = -1 + 1. Sort a, 3, v, -2.\nAnswer: -2, v, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*t = -7*t - 399 - 371 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 25*b**2 - 28*b + 224. What are the prime factors of l(9)?\nAnswer: 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5076*t**4 - 6723*t**3 + 488426775*t**2 wrt t?\nAnswer: 121824*t - 40338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1848 divided by 4.\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.285 - -0.34. Let y = -1.3505 - -1.29599. Let l = y + k. Round l to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j**3*q**3 - j**3*q**2 + 1517*j**3*q + 5*j**3 + 883*j**2*q**3 + 429*j**2*q + q wrt j?\nAnswer: 12*q**3 - 6*q**2 + 9102*q + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oi when two letters picked without replacement from {o: 5, i: 13}.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**4 + 336*h**3 + 10362*h**2 + 53424*h + 75843.\nAnswer: 3*(h + 3)**2*(h + 53)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 2*l - 126. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 3)*(2*v**2 + 0*v**2 - 6*v**2) + (5*v - 2*v - 4*v)*(4*v - 4*v - 3*v) to b*v**2 + w*v + x and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -20*a**3 - 622*a**2 - 61*a + 39. Let n be t(-31). Let q = -28 + 46. Suppose -q = -n*d + 22. Solve d*l + 4 = 9 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -593*a + 554077. Is l(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 less than -13058.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + 250. Let x be 4*7\/(-28) - f. Which is smaller: -232 or x?\nAnswer: -232","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(12) - sqrt(588)).\nAnswer: -12*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -51 - 1015?\nAnswer: -1066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-4*sqrt(70))\/sqrt(10) - (0 + sqrt(343)*2).\nAnswer: -18*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ovgp when four letters picked without replacement from cgrvpgrgcgvo?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 9\/23, -1\/5, 1\/4, -3, -2.\nAnswer: -3, -2, -1\/5, 0, 1\/4, 9\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 8 - 24*g**2 - 14*g**3 + 51*g**2 - 10*g**4 - 2*g**5 + 16*g - 25*g**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 165 and 350993175.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -0.3 (b) 0.02 (c) 2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 1:23 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -2*s - s - 15, -4*s - 28 = -4*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -18 - (-2 - (-11)\/4)*(-12711172)\/529329\nAnswer: 1\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 5. Suppose 0 = -3*n + 1 - 10. Let z be n + (-2)\/q - -1. Which is smaller: z or 1\/8?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (48\/30)\/((-2)\/(-40)). What is the tens digit of -4*(-2)\/t - 321\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50 and 2990.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 533 is divided by 173?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b**2 - 19*b. Let n(i) = i. Determine k(n(f)).\nAnswer: 3*f**2 - 19*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 36, -0.08, -398, -2?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84859 is divided by 1137?\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19\/7 + 430\/161. Which is greater: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + 6. Let g = -27 + b. Let n = -13.3 - g. What is the smallest value in -2, 0.2, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of 252*y**2 - 277*y + 151. What is the first derivative of t(n) wrt n?\nAnswer: 504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1731 divided by -1?\nAnswer: 1731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3\/1*-9*(-155)\/(-5022)*-9\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2*o + 50, -5*o = -0 - 10. What is the remainder when 67 is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -32373793 or -32373800?\nAnswer: -32373793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/49203 and 19\/253035?\nAnswer: 1383342345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, b: 1, h: 1}. What is prob of sequence br?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m + 85. Let y(t) = -t - 42. Let z(k) = -6*a(k) - 13*y(k). Does 9 divide z(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 141 - 24. Let t be 9 - (2*(-2 - -3) - 2). What is the greatest common factor of t and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (22 - 10) + (17 - 32) - -14\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 9:06 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*t - 16 = 37*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2\/1*1\/17\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -58, -2\/3, -0.3, 3\/4, 4, -140?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 89 + -88. Is 1\/8 less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 6:36 AM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19692 and 10476?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**4 + 7920*u**3 - 195052*u**2 - 875376*u - 907120 = 0. Calculate u.\nAnswer: -2, 29, 1955","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 5, 0, -5, 0.151?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 0.21, -4\/37?\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -298975*m + 2690758. Give u(9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 329379823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5*g**2 + 7*g + 11. What is z(-3)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -20579157, 0.5, -0.2, -1 in decreasing order.\nAnswer: 0.5, -0.2, -1, -20579157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-248)\/(-8) + -24*((-57)\/(-12) - 5).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a - 1176 = -22*a. What is the highest common divisor of 42 and a?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*q**3 - 226*q**3 - 2*q - 248*q**3 + 160*q**3.\nAnswer: -390*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*q**5 - 945*q**3 + 2*q**2 + 70*q - 37 wrt q?\nAnswer: 180*q**2 - 5670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x. Let h(k) = 42*k - 9759. Calculate h(j(w)).\nAnswer: 42*w - 9759","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2.7*-0.18\nAnswer: 0.486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 67837 = -12*t. Let r = 68041\/7 + t. Find u such that r*u**3 + 216\/7*u**2 + 18\/7*u**5 + 114\/7*u + 96\/7*u**4 + 24\/7 = 0.\nAnswer: -4\/3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1854178 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) - -3*(sqrt(288) + -1)) + sqrt(98)*2*-2)**2.\nAnswer: -120*sqrt(2) + 809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 350711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -5\/1936?\nAnswer: -5\/1936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**5 + 12874*c**4 + 512586*c**3 + 5285870*c**2 + 12462556*c + 7676400 = 0. Calculate c.\nAnswer: -6397, -25, -12, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-14)*(-1140)\/(-1900).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 252 and 312.\nAnswer: 6552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 4*r - 24. Let o(n) = n**2 + 16*n + 29. Give k(o(l)).\nAnswer: 4*l**2 + 64*l + 92","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -10*c**2 - 150*c - 31. Calculate h(-18).\nAnswer: -571","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6266 = -3*s + 23495 - 5911. List the prime factors of s.\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 - -37. Find the third derivative of -22*v**2 + 17*v**3 + 30*v**2 - s*v**3 wrt v.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003448 to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 57709410 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 12, -s + 5*u + 0*u = -18. Sort 30, 3, s, 5 in ascending order.\nAnswer: s, 3, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 129908137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u - 52. Let z be k(-28). Solve -4 = -z*q, -5*n + 4*q - 6 - 3 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 151?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -13187248 divided by -424\nAnswer: 31102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.80544um to meters.\nAnswer: 0.00009180544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 34\/5 of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26764841?\nAnswer: 41, 53, 109, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1297 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(2)*1 + sqrt(32) + sqrt(2) + 5.\nAnswer: 5 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -11. Suppose 0 = -6*j + 18 - 0. Suppose -j*g + 44 = -7*g - 3*f, -4*f - 11 = g. Sort 0.1, g, h.\nAnswer: g, h, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 - 23. Suppose -2*a - p + 10 = z*a, -17 = -3*a + 4*p. Calculate the remainder when 5 is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 234*n. Let q(o) = 40*o - 3. Calculate w(q(k)).\nAnswer: 9360*k - 702","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**2 + 3*u - 10. Let t be m(-5). Suppose 0*w + t = 5*w. Sort -2, w, -3 in ascending order.\nAnswer: -3, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -406 - -291. Let p be 815\/7 + 8\/14. Let g = p + f. Solve -d + g = 3*w, -d = d + 2*w for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.338093426 rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43434 and 401574.\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -12143, -49136, -110791, -197108, -308087, -443728, -604031?\n\"Answer: -12331*z**2 + 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100000 + -11000001110011011?\nAnswer: -11000001100111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 543043458313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6, k: 1, g: 5, d: 3}. What is prob of sequence kggg?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*k + 34*k + 2616 = 17*k - 288 for k.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 + 22.7. Let y = s + 3. Which is the third smallest value? (a) -2 (b) y (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1485857542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48943*0.015.\nAnswer: 734.145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4 + (((-4 + sqrt(847) + 1)**2 - sqrt(847)) + (0 + sqrt(847))*4 - (-1*sqrt(847)*2 + 5)) + 4).\nAnswer: -5154 + 66*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/4*(-1 + 7). Let q(y) = -y + y - b*y. Let x(v) be the first derivative of 3*v**3 - 33586. Calculate x(q(t)).\nAnswer: 81*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3, -88*l + q = -85*l - 131405. List the prime factors of l.\nAnswer: 2, 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -10101000?\nAnswer: -10100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120223?\nAnswer: 120223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of -k**4\/24 - 5*k**3\/3 + 20*k**2. Give v(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26810, -53474, -80138, -106802, -133466?\nAnswer: -160130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 9:20 PM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 3. Let l = q - 0.7. Let h be ((-17)\/(-85))\/((-3)\/6). What is the second smallest value in h, 2\/7, -1\/3, l?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (25 - 18) + 47 - 31\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3064832*b**5 + 4262604*b wrt b.\nAnswer: 61296640*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.8882 * -2.742.\nAnswer: -5.1774444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a millennium in centuries?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 125.5 to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(0 + (sqrt(180) - (sqrt(180) + -1)) + sqrt(180)) + (sqrt(75)\/sqrt(3)*5)\/(sqrt(20)\/sqrt(4)*3) + 5 + -5)**2.\nAnswer: 850*sqrt(5)\/3 + 36350\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 51. Suppose 0*i + 10 = -5*i, 0 = -3*c - 5*i - 10. Let w be v(c). Let p = 72 + w. Calculate the greatest common factor of 189 and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -8. Let d = j + 1. Let t = 26.98 + -27. Which is the second biggest value? (a) t (b) d (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -6. What is the third derivative of -b*j**2 + 3*j**2 + 0*j**2 - j**6 wrt j?\nAnswer: -120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 2)\/2 - -1. Let q = -0.04 - 1.96. Let d be (-1 - (-4)\/6)\/1. What is the closest to b in 0, d, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 19*i**2 - i + 21. Let p be j(19). Solve -p*z = 2*z - 5*n + 1, -n = -z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 87 - -2?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/425, -7, -0.4, 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2548, 1, -4, 4, -5 in ascending order.\nAnswer: -2548, -5, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-4 + 4)) + -4 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5516 and -0.102347.\nAnswer: 5515.897653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 508\/18 - 2\/9. Suppose 4*j + 44 = x, -3*x + 4*j - 101 + 193 = 0. Let q(p) = -x*p - 5*p + r*p. Let s(n) = -35*n. What is q(s(d))?\nAnswer: 35*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -15903\/25 != -636?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6498680 a multiple of 296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1760.2 and 37117.6.\nAnswer: 35357.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 5.2038 (b) 3\/5 (c) -0.02 (d) 3\/7 (e) 0 (f) -2 (g) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5424616 or -5424630?\nAnswer: -5424630","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b - 465 = -3*b. What is the second derivative of b*u + 2*u**2 + 27*u**3 - 21*u**2 + 19*u**2 wrt u?\nAnswer: 162*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 9*r + 12 = -8*r, -2*r = -8. Let q = 23 - 13. Suppose -k - a - 10 + 2 = 0, -q = -2*a. Put k, -3, n in decreasing order.\nAnswer: n, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 4*q - 0*b + 32, 0 = -4*q - 2*b - 32. Let j = -3 - q. Solve 0 = z + j*i - 13, -4*z + 2 = -4*i - 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*b = -2*b - 94*b - 58*b - 3475 for b.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(396)*2 + (-2 + sqrt(396))*1 - (0 + sqrt(396)*-2 + -3 + -5*sqrt(396)*-2).\nAnswer: -30*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1132 + 1130. What is the closest to 0.1 in -5, 0.3, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -326*z - 479*z + 207644 = 528*z + 369*z for z.\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of v**4\/4 - 16*v**3\/3 + v**2 + 51*v - 104. What are the prime factors of z(16)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*u - 132*u - 1979389 = 0. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41*j*l*s**3*z**2 + 3*j*l*s + j*l*z**2 - 6*j*l*z + 4*j*s**3 - j*s + l*s**3*z + l*s*z**2 wrt z.\nAnswer: 82*j*l*s**3 + 2*j*l + 2*l*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -3, 26\/3, 165, -0.4, 1.17 in descending order.\nAnswer: 165, 26\/3, 1.17, 0.4, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 66767 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-307 + 307 + 22*r)*(-3*r**4 + 11 - 16 + r**4).\nAnswer: -44*r**5 - 110*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 35\/(-13)) + -2. Let g = 187 + -183. Which is the third biggest value? (a) g (b) r (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.46775 rounded to one decimal place?\nAnswer: 31.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 6:03 AM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 458744, 458772, 458800?\nAnswer: 458828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-81614)\/5)\/(-2) + (-230)\/575. What is q rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 948, 22, -2, 36 in decreasing order.\nAnswer: 948, 36, 22, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3*x = 18. Let i = 7398 - 7415. Are x and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 6) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2150 and 8?\nAnswer: 8600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 (base 13) in base 6?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/87417 and 22\/839.\nAnswer: 73342863","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in fifty-one halves of a millennium?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**4 + 0*g**4 + 0*g**4)*(g - g - g) + (0*g**3 + g**3 + g**3)*(0*g**2 + g**2 + g**2).\nAnswer: 8*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 1901473?\nAnswer: -9\/1901473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10822 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -3, -1622.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 106 in ascending order.\nAnswer: -2, 4, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1183 - -1236. Solve 8*n + 93 - s = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -9. Which is the nearest to i? (a) 1 (b) -2 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.3 * 1.\nAnswer: 4.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (183*h**4 + 15*h**4 + 286*h**4)*(-2 + 3 + 6)*(-2 - 1 + 4) to b*h**4 + w*h**2 + u*h + g + m*h**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3073438 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/6*30\/(-50)*4\/3. Let p be 0 + (-2 + 2)*-1. Let y = z - p. Solve -5 = y*c + t + 2, 0 = -c - t - 6 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-15)\/(-5)*(-1)\/2. Is b < 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 13\/4976?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 4:47 PM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8349 is divided by 1422.\nAnswer: 1239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 11*q - 12. Let v be c(-8). Let x(f) = -f**3 + 13*f**2 - 13*f + 14. Let d be x(v). Solve 0 = d*j - 1 - 5 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*t + 5 + 0 + 2)*(-1 - 6 + 4)*(1 + 1 - 4)*(6*t**2 + 20*t**2 - 465*t**2) in the form j + o*t + n*t**3 + l*t**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -39*i. Let s(u) = 41*u - 252. Give s(j(y)).\nAnswer: -1599*y - 252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 4.6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*b**2 + 41*b**2 + b**3 - 509*b + 40*b**2 - 3*b**3.\nAnswer: -2*b**3 - 5*b**2 - 509*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u**(-1\/47)*u))*(u**(-40\/9)*u*u*u)\/u)\/(u\/u**(-4))**10 assuming u is positive.\nAnswer: u**(-21770\/423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -138, -32, 338, 1104, 2398, 4352, 7098?\n\"Answer: 22*m**3 - 48*m - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1769784404 to the nearest integer?\nAnswer: 1210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + b + 4. Let d be h(0). Find the third derivative of 3*n**2 + n**4 - 4*n**4 - n**4 + 3*n**d wrt n.\nAnswer: -24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -84 - -86. Let k = -230.7 - -231. Which is the smallest value? (a) x (b) -9 (c) 1\/2 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -11 + 47 - 5 - 15) + -41\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 4\/3*u**2 - 1\/6*u**3 - 2*u = 0. Calculate u.\nAnswer: -6, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of 5\/3*s**3 + 4*s**2 + 0 + 1\/60*s**5 - 1\/4*s**4 + 0*s. Calculate the smallest common multiple of l(4) and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**6)\/(b**(-2)*b))**(-4\/7)*(b\/(b*b**(-4\/7)*b)*b**(-2\/43))**11 assuming b is positive.\nAnswer: b**(-885\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -u - 19*r + 14*r, 0 = u - 2*r for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 126, 503, 1130, 2007?\nAnswer: 3134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*y - 3, 4*n + 2*y + 22 = 0. Which is the closest to 0.2? (a) 5 (b) 0.3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + a - 4*t + 30, -4*t - 12 = 4*a. Suppose -3*f - 3*n + 21 = -n, 3 = -n. Is f\/(-6)*196\/a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*p + l, 2*p = -5*l - 36 + 38 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 5*c**2 + 2*c - 3. What is the units digit of a(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, u: 7, z: 1}. What is prob of picking 1 t and 1 u?\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 1722?\nAnswer: 1722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 36*r**2 + 135*r + 6. Determine v(-4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1135894*c = -1135891*c + 12, c = 3*b - 28 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -34, 6, -10 in decreasing order.\nAnswer: 6, -5, -10, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bj when two letters picked without replacement from bbjjjjjbjj?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5520 minus -0.74?\nAnswer: 5520.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 17 (b) -0.07 (c) -3 (d) -153 (e) 0.1 (f) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j - 250283 = -48400. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1611*n**2*o**2*p + n**2*o**2 - 2*n**2*o + 6*n*o*p + 2*n + 3*o*p + 17*p wrt o.\nAnswer: 3222*n**2*p + 2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/3 - 206*r**2\/3 - 11009*r\/3 - 40804\/3.\nAnswer: -(r + 4)*(r + 101)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 547945, -0.01, -1 in descending order.\nAnswer: 547945, -0.01, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 657669?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v + 2*v - 7*v + (-3*v + 5*v + 0*v)*(-2 - 2 + 3 + (1 + 0 + 0)*(-3 + 1 + 1) + (2 - 4 + 4)*(2 - 4 + 0) + 4 + 0 - 5).\nAnswer: -17*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, x: 1, h: 2, f: 7}. Give prob of sequence hfh.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 6 = -v, 5*f + 3*v - 279 = 0. Let q be -1 - 3\/(f\/(-22)). Let k = 0.4 - -0.1. Put -0.4, k, q in decreasing order.\nAnswer: k, q, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 41245 + 4?\nAnswer: 41252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.09 + 0.41. Let f = d - -0.08. Put 4, f, 3\/4 in increasing order.\nAnswer: f, 3\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 42*k + 1105. Give p(-26).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4575.\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 4*o - 3. Give a(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 1 + 1)*(15*z - 25*z + z)*(-3*z + 0*z + z).\nAnswer: 18*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10656 = 6793*w - 6775*w. What is the highest common factor of 24 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -210 - -212. Suppose 3*t + 22 = z*d, -5*t + 10*t = -4*d. Solve -d*g = -2*q - 1, -15 = -4*g - 4*q - 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 84375766 to the nearest 1000000.\nAnswer: 84000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1591, -495, -2577, -4655, -6729, -8799?\nAnswer: -10865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4522 by 266.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7027467702.\nAnswer: 2, 3, 23, 2214073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -112*a + 53*a + 56*a - 1 + (0 + 3 - 1)*(-3*a + 0*a + 5*a) - a + 5*a - 6*a.\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4523170?\nAnswer: 2, 5, 43, 67, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 12:43 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.464974313 and -4.\nAnswer: -4.464974313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 28. Let j = c - -31. Calculate the highest common divisor of 4 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/57703890 and 151\/24?\nAnswer: 230815560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 3*b - 7. Let l be u(-5). Let d(q) = -5 - l + 2 + 2 + q. Let o(i) be the first derivative of i**2\/2 - 7*i + 75. Determine -5*d(j) + 3*o(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 10:02 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 2) + (-4)\/1. Let x = -8 - w. Is 130 + x\/2 - -2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -116 + 76. Is -39 at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 311277 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 + -985557?\nAnswer: -98554a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6\/5, 1, 0, -3648, 4, 4\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2640 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 647525.\nAnswer: 5, 59, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 430 (base 6) to base 5\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5b66f - 3?\nAnswer: 5b66c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -256701500 - -3?\nAnswer: -256701475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*l + 4*l**2 + 5*l)*(3*l + 0*l + 0*l) to w + x*l + v*l**3 + m*l**2 and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 234, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + 4*d - 1. Let t be h(-5). Suppose -t*p + 5*n - n - 239992 = 0, 0 = -4*p + n - 239998. Round p to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-6))\/(4\/(-24)). Let u be 12\/(2 + v\/8). What is the greatest common divisor of 32 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.25007937 to four decimal places.\nAnswer: -0.2501","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)\/(sqrt(63) + (sqrt(63) - (sqrt(63) - sqrt(1575)))))**2.\nAnswer: 17\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 2*k + 10 + 6, 0 = 3*j + 3*k - 18. Let v(b) = 9*b**3 + 2*b**2 + 2*b - 36. Is v(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 6 + 4)*(26 - 26 - 23*y)*(-1 + 8*y - 3*y + 2*y) in the form q*y**2 + p*y + g and give p.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-657)\/73 - (-9 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x + 55 = -5*x. Let l(s) be the third derivative of 1\/20*s**x + 0*s**4 - s**2 + 0*s - 1\/2*s**3 + 0. Differentiate l(t) wrt t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.052466 seconds in hours?\nAnswer: 0.003625685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13056?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of 5*a**4\/12 - 25*a**3 - 155*a**2\/2 + 387*a. Find o, given that u(o) = 0.\nAnswer: -1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*f + 2*f - 54 - 5*f**2 + 9*f.\nAnswer: -5*f**2 - 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24020\/2402*(((-6)\/(-2))\/3)\/(-13)?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10061, -40875, -92377, -164567, -257445, -371011?\nAnswer: -505265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -3 (c) 0.127 (d) -4 (e) 0.7 (f) 0.0514\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 6*o + 7. Let u be v(-6). Let w = 15 - u. Let b be -1 - (0 - (3 - 2)). Solve b = z - 3*x + w, z - 4*x = -9 - 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -17*d. Let x(t) = -4*t. Determine x(q(f)).\nAnswer: 68*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56043398 to the nearest integer?\nAnswer: 7486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**4\/((p*p*((p\/p**(-3))\/p)\/p)\/p*p))\/(((p*p**(-18))\/p)\/p*(p**(-15)*p)\/p) assuming p is positive.\nAnswer: p**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -249 and -255 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -352 + 352. Let j = 0.07 + -0.37. Put o, 0.01, j in descending order.\nAnswer: 0.01, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence erq when three letters picked without replacement from {e: 1, r: 1, q: 2, y: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -7201?\nAnswer: -2\/7201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 322?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 20861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -61, -56, -51, -46?\n\"Answer: 5*y - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-9))**45 assuming x is positive.\nAnswer: x**(-405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 23485092458709 less than 0.5?\nAnswer: -23485092458708.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2081578?\nAnswer: 2, 71, 107, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80524830.\nAnswer: 2, 3, 5, 2684161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 11 - 7082*f + 2 + 7117*f.\nAnswer: 35*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1565259.\nAnswer: 3, 521753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/10)*v**1)**4\/(((v**(-2\/7)\/v)\/(v*(v*v**(-1\/6))\/v))\/(v**1\/(v*v*v\/(v**(2\/3)\/v)))) assuming v is positive.\nAnswer: v**(349\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 4 (c) 1101\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*g - 13. Let r be g\/(-6) - 11\/(-3). Suppose 0 = s + r*s - 25. Solve s*h + 6 = -14 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*p**4 - 3304858*p**3 + 3434*p**2 + 6295*p wrt p.\nAnswer: 48*p - 19829148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1405.95 months in millennia?\nAnswer: 0.1171625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -49 (b) -0.1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 1, -59\/52, 17?\nAnswer: -59\/52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56807.\nAnswer: 56807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q\/(q\/(q\/(q\/((q*q**(-2))\/q*q))))))\/q*q)**(-2)*(q\/(((q\/((q*q\/q**(2\/25))\/q))\/q)\/q))\/(q**7\/q) assuming q is positive.\nAnswer: q**(-227\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/15 + 4\/10. Suppose y = -0*r - r. Suppose 4*t - 12 = -0*t, 0 = 4*k + 4*t - 20. Put 4, k, r in increasing order.\nAnswer: r, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -396623, -793206, -1189791, -1586378, -1982967, -2379558?\nAnswer: -2776151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from buubbbbbubbbbbbbbb. What is prob of picking 2 b and 1 u?\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b9 - -5cc?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of h**2*l + 2623755*h*l**3 + 717*l**3 - 3*l**2 - 2*l + 183 wrt h.\nAnswer: 2*h*l + 2623755*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -920\/642383?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56 - -61. Suppose -2*f - u*y + 4426 = 0, -5*y = -9 - 11. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 10:58 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-548)\/10*15\/(-12). Let v = -18 - 52. Let b = v + h. Which is greater: -3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**(-3\/5)\/s)\/s)\/s)\/s*s**(-22))\/(s*s*s**(-18)*((s*(s**(5\/2)*s)\/s)\/s)\/s*s) assuming s is positive.\nAnswer: s**(-131\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (1 + (14 + -4 - 13) + (3 - 2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 11, 50, 125, 248, 431, 686?\nAnswer: 1025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -104.2 + 104.6. Let f = 111\/5 - 22. Which is the second biggest value? (a) f (b) q (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 2*v + 33 = 0, -34*j + 36*j = -5*v - 30 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24.177 - 23.777. Put g, 0.2, -4766, 2\/13, 3 in increasing order.\nAnswer: -4766, 2\/13, 0.2, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1545269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 8402?\nAnswer: 1\/8402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjxjjyjjjyjxyxjjjxj. Give prob of sequence jxj.\nAnswer: 26\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/109 + 126\/1853. Let l = x + 29\/85. Which is the fourth smallest value? (a) 5\/2 (b) -2\/7 (c) -5 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 11*u = 0. Let s(q) be the first derivative of u*q**3 + q**4 + 0*q**5 - 1\/3*q**6 - 1 + 0*q - q**2. Suppose s(y) = 0. Calculate y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19912 and 5016.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/30)\/((-35)\/(1750\/220)).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*y + 37 = 2*z, 2*z + 3*y - 39 = 0. Let u(f) = 186*f - 2579. Calculate the remainder when u(14) is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14667 is divided by 2872.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 6\/11, 1\/5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of g**7\/105 + 847*g**3\/6 - 1414*g**2. Differentiate b(y) with respect to y.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 + (14 - -13) - -31 - -34\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*b - 20*b = -12. Is -38*20\/b*-3 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 3*t + 22 = 0, 2*b - 41359 = -9*t - 41358 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -7. Let q(s) = s**3 - 4*s**2 - s + 3. Let u be q(c). Let w(a) be the first derivative of 5*a**2 - 10760. What is w(u)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -22*i**2 + 13*i + 3. Let a be d(-2). Let p = 112 + a. Let b be 896\/3465 - 4\/18. Is p less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -196524890 to the nearest 1000000.\nAnswer: -197000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z + 2. Let k be t(-1). Let o be 2\/(-8) - 3*4668\/(-16). Suppose 3*c + 1401 = 5*h + 496, k*h - o = -3*c. What are the prime factors of h?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h - 13831*h**3 - 4*h + 13582*h**3 + (-2*h + 2*h - 2*h)*(-4*h**2 + 0*h**2 + 5*h**2).\nAnswer: -251*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53 + 55. Solve 16*t**r + 75 - 13*t**2 + 5*t - 35*t = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vcreeeeoereoeeoee. What is prob of sequence eovc?\nAnswer: 1\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.44 - 1.84. Let o = 344 + -5845\/17. Let p = o - -39\/68. Sort -3, x, p in increasing order.\nAnswer: -3, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 - 0.8. Let s = i + 0.6. Let b = 48708\/7 + -6958. What is the nearest to -1 in b, s, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -106, -172, -230, -280, -322, -356?\nAnswer: -382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 291361097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.0691760447 + -80633\nAnswer: -80633.0691760447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 7964*p**2 + 19*p + 8. Is f(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 x, and 1 i when four letters picked without replacement from aaxoxninnoian?\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -272176*c**2 + 24495836*c\/5 + 72\/5 = 0.\nAnswer: -1\/340220, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4*q**2 + 16*q. Let u(o) = 7*o**2 - 32*o. Determine -3*u(i) - 5*v(i).\nAnswer: -i**2 + 16*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -6*f - 106. Let u be t(-18). Let p(g) = 4*g**2 - g - 2. Let k be p(-1). Solve q + k = u*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 423073 divided by -22267\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36282*f**2 + 108797*f**2 + 12 - 36284*f**2 - 36232*f**2 - 7 - 5.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 42994 divided by -1162?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -238\/5 + 48. Let -4\/5*x - 2\/5 - n*x**2 = 0. What is x?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/1288584513?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*q - 61*q = 84*q - 1240 for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 496 divided by -62\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 7833 (c) -2\/7 (d) -0.1 (e) 5 (f) 0.5 (g) 20\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n + 1. Let q(z) = 4*z + 27. Calculate -2*i(r) + q(r).\nAnswer: 6*r + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -9*z - 150. Calculate x(-12).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 129754 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 12*b - 3. Let g(u) = 3*u - 2. Let r(h) = -18*h + 12. Let o(t) = 39*g(t) + 6*r(t). What is the remainder when s(5) is divided by o(4)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 1\/20, 17\/4442?\nAnswer: 17\/4442","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(343) + 5 + 2.\nAnswer: 8 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 0*r - 2*r = -10, -o + 4*r = -16. Let i be (-17)\/3*1 + o\/18. Which is the smallest value? (a) -9 (b) i (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 635169*u**5 - 498396*u**2 wrt u.\nAnswer: 38110140*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v - 9. What is the units digit of z(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47895400 divided by -171055\nAnswer: -280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of o**8\/560 - 6*o**7\/175 + 7*o**6\/40 + 3*o**5\/25 - 9*o**4\/10 - 41*o**2 - 9*o. Find b, given that n(b) = 0.\nAnswer: -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 4:44 AM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 124, 217, 310, 403?\n\"Answer: 93*q + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41670?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25.2 + 25. Which is the nearest to -0.2? (a) 0.2 (b) 4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3629, 3635, 3635, 3623, 3593, 3539?\nAnswer: 3455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (15 + -8 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/22)\/(3\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 130, 127, 124, 121, 118, 115?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 16*o**2 + 26*o + 1. Let b(l) = -3*l**2 - 5*l. What is 11*b(n) + 2*p(n)?\nAnswer: -n**2 - 3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((i\/i**0)\/i)\/i)**(-23\/5))**(-41))**(-4\/11))**35 assuming i is positive.\nAnswer: i**(26404\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 519 is divided by 65.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 383\/3 - 128. Is k not equal to -21\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41543, -83219, -124895, -166571, -208247?\nAnswer: -249923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -100 + 554. Calculate the remainder when s is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 10:12 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -3*k - 16. Let o(t) = 6*t**3 + 4*t**2 + 14*t + 4. Let h(u) = -4 - 13*u - 3*u**2 - u**2 - u**2 - 5*u**3. Let p(d) = k*h(d) + 3*o(d). Factor p(m).\nAnswer: -2*(m + 1)**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (7 - (3 + -10 + (-2 - -8))) + -14.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2143111230 - -3?\nAnswer: 2143111233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14609 - -584291\/40. Let q = -186647\/12 - -15542. What is the common denominator of q and l?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12755076 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 20*g**2. Let m(t) = 61*t - 1. Let a(d) = -54416*d + 895. Let j(s) = -a(s) - 895*m(s). Give o(j(y)).\nAnswer: 640820*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(0 + (-3 - -2)). Let d(x) = x**3 + 4*x**2 + 5*x + 6. Let q be d(a). Round q to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 132?\nAnswer: -5\/132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 8 = 3*m, 4*m + 6 = 7*j - 9*j for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 673948\/119 - (2\/(-14) + (-3)\/7). Is 5664 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**3 - 6*v**3 + 4*v**3 - 3*v**2 + (-1 + 2*v + 1)*(0*v**2 + 2*v**2 - v**2) to q*v + h*v**2 + j*v**3 + c and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6280 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 54 + 114. Let a be (4 - -3)*(-1 - b\/(-21)). Let x be (-2)\/(-7) - 24\/(-14). Put -1\/5, a, x in increasing order.\nAnswer: -1\/5, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - (sqrt(119) + sqrt(119)*2))*-3 - sqrt(119))\/(sqrt(7) + (sqrt(42)\/sqrt(2))\/sqrt(3)).\nAnswer: 5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, r: 2, d: 2, b: 3, s: 1, z: 3}. What is prob of sequence sr?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v - 12*v - 5*v - 13*v - v + 18*v.\nAnswer: -17*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -122, 1, 0.2, 2.\nAnswer: -122, -7, 0.2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 37*m**2 + 106*m + 132. Give q(-34).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -49.78914*-0.4\nAnswer: 19.915656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -2\/11 (c) 31 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91353074 divided by 85138.\nAnswer: -1073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 106?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-360)\/12)\/10*10\/6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -6*z**3 - 3*z**2 - 10*z - 22. Let v be n(-3). Let d = -111 - -156. Let m = v - d. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/113424 and 121\/204.\nAnswer: 113424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 155104 and 1295?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -203, -340, -569, -890?\n\"Answer: -46*t**2 + t - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -4*f**3 - 229860*f**2 + 3908656*f - 6897840 = 0.\nAnswer: -57482, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 217 + -192. Let y(t) = -2*t**2 + 50*t - 38. Let g be y(m). Is g smaller than -35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 77576577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -53560614 divided by 6?\nAnswer: -8926769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 - -22. Let r(v) = v**2 + v - 2. Let j be r(2). Put j, -5, g in increasing order.\nAnswer: -5, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 12:40 PM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*u - 5*u + 5 - 3 - 2 to y + l*u and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14.99 - 15.2. Which is greater: -0.3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*u - 8 = -16*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 28 = 3*j. Let h be 1*j + (-13 + 11 - -6). Solve 45 = h*u + 57 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -7850\/3 (b) -0.1 (c) 2\/13 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = -2*b + 483. Suppose -5*i = -3*l - b, 3*l = 2 - 5. Let o = i + -31. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 4*r - 4*s, -3*s + 40296 = -5*r + 40329 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10198 is divided by 3395?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/28 and 53\/12120.\nAnswer: 84840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14161751 and 337.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 10:29 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(sqrt(45)\/sqrt(9)) + 5 + 2.\nAnswer: sqrt(5) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-420)*-3*2*(-66)\/3?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-26)\/65 + -1*2\/(-80). Let i = 0.9 + -4.9. Put i, z, -12 in ascending order.\nAnswer: -12, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.47908 smaller than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/2 - (0 - 7\/(-14)). Suppose -4*x + 5*f + 11 = 0, 4*x + i*f - f = 19. Find the third derivative of -16*b**4 + 25*b**4 + 10*b**x - 6*b**2 wrt b.\nAnswer: 456*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4005 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - w = v - 8, 5*v - 16 = w. Suppose 0*m = 3*s + 3*m - 285, 2*s + v*m - 192 = 0. Let c = -55 + s. Does 13 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -44*o**2 - 2 + 3*o + 0 + 46*o**2. What is g(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from xaaeaqaaqaeq?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/40 and (-22)\/121 - 3370\/(-264).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y. Let g be u(-1). Let h = 4 - 4. Let l be 1 + (-3)\/(3 - h). Solve l*q = -g*q + 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6738*n - 1 + 19*n**2 - 6738*n - n**2 - 4*n + 4*n + (3 + n - 3)*(-2*n - n + 4*n) + 2*n**2 + 1 - 1 - 3*n**2 + n**2 + 4*n**2.\nAnswer: 23*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b**4\/4 - b**3\/2 - 5*b**2 - 6*b = 0. Calculate b.\nAnswer: -2, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-252)\/105*5\/(-16). Determine p, given that -9\/2 + 1\/4*p**3 - h*p + p**2 = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 418 + -356. Suppose -4*s + 22 = b, -3*b + 44 = -2*s + d. Does 5 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4*((sqrt(75) - (-2 + sqrt(75) + 1 + sqrt(75))) + (1 + sqrt(75))*6))**2 + 1.\nAnswer: 5600*sqrt(3) + 30789","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(2\/77)*x**15)**(2\/17))**(-41) assuming x is positive.\nAnswer: x**(-101188\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196 = -4*n + 204. Suppose -n*j = -105*j + 60. Let c be 6\/j - 158\/(-4). Calculate the highest common factor of c and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*m**2 + 3*m**2 + 21*m - 18*m to s*m**2 + b*m + y and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 18*t - 243. Let p be k(13). Are p and -54 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4 + 20*y**3 + 18*y**2.\nAnswer: 2*y**2*(y + 1)*(y + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i**3 + 14*i**3 - i - 3*i**3.\nAnswer: 16*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, m: 6}. Give prob of sequence mmm.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -a + 26575, -34*a = -2*k - 32*a + 26566. Is k a multiple of 182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + (-2 + -1 - 5\/(-2 - -7))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -6, 5, -1, 4, 174830 in descending order.\nAnswer: 174830, 5, 4, -1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/17)*p)\/p*p*p**(-6))**(-20\/7)\/((p**(-1))**(-1\/13))**(2\/101) assuming p is positive.\nAnswer: p**(315086\/22321)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -64 - 37*p - 65 - 14 + 5. Let y be u(-6). What is the greatest common divisor of y and 252?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 1004*g - 142. What are the prime factors of p(7)?\nAnswer: 2, 11, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 10:44 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/(-72))\/((-172)\/43*(-6)\/32)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 71 + -75. What is the smallest common multiple of (1 + 55\/(-20))*n and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 133\/726 - 2\/121. Let n(m) be the second derivative of 0*m**2 + 0*m**3 - l*m**4 + 1\/20*m**5 + 0 + 2*m. Find the third derivative of n(y) wrt y.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -3*w - 7, 4*b - 7*w = -2*w + 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 1029 = 411. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 9, 3, -0.3 in decreasing order.\nAnswer: 15, 9, 3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 2997 (c) 2656\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 10 = 3*u, -14 = 7*u - 10*u + 2*s. Solve z = 5*y, u*y - 1 - 2 = z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of p**2*v**2 - 2*p**2*v*x + 17*p**2*v - p**2*x + 2*p**2 + 3*p*v**2*x + 379*p*v + 9030*v**2*x - 14*v**2 - 3*v*x wrt v.\nAnswer: 2*p**2 + 6*p*x + 18060*x - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of -13*u**8\/56 + u**6\/120 - u**4\/2 - 2*u**2 - 52. Find the second derivative of h(j) wrt j.\nAnswer: -1560*j**3 + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -a**6\/1620 + a**5\/540 + a**4\/54 + a**3 - 1. Let r(q) be the third derivative of j(q). Determine i, given that r(i) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*r = 53, -r + 65 = u - 0*r. Suppose 3*x = u - 56. Solve 0 = x*c - 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006998 to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/40)\/(8\/75). Let d = -29\/24 + h. Which is smaller: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180036 to the power of 1\/2, to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 235 + -1173\/5. Let m = -1 - -1. Sort -0.4, m, u in decreasing order.\nAnswer: u, m, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -181.522 - 2.\nAnswer: -183.522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c = -265 + 67 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 370, 1370, 3032, 5356, 8342, 11990, 16300?\nAnswer: 21272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -5*l**2 - 3*l - 2. Let s be i(-1). Is 821 + -4 + 2 + s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 2*d - 28, 2*u - 2*d + 5*d - 23 = 0. Solve 0 = -11*t + u*t + 4*b + 26, -3*t = -3*b + 3 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 26 + 10. Suppose 10*f = 7*f - o. Let a(z) = z**2 + 7*z - 1. Calculate a(f).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - -11. Let w be ((-4)\/n)\/(1\/(-7)). Suppose w*c - 4 + 0 = 0. Solve 3*a = -c + 17 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**28\/k**(-47))\/(k*k**(13\/6)*k\/(k\/(k**16*k))) assuming k is positive.\nAnswer: k**(329\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 636282 divided by 6\nAnswer: 106047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(-14)))\/(i\/(i\/(i\/(i*i*i*i\/((i\/(i\/(i**(4\/9)*i*i*i)*i))\/i*i)))))*i**(-2\/39)\/i**(-2\/37) assuming i is positive.\nAnswer: i**(63023\/4329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 3*o**4 + 504*o**3\/5 - 1839*o**2\/5 + 1764*o\/5 - 444\/5 = 0.\nAnswer: -37, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 7) to base 9\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 153*k. Let t(s) = -4*s**2. What is t(v(f))?\nAnswer: -93636*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 11*y + 26. Suppose 0 = -m + y*r + 1509, -4*m + 3*r + 2457 = -3589. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -85117569*k**3 - 89192316 wrt k?\nAnswer: -255352707*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 2*s**2 - 2*s)*(s**2 - 3*s**2 - s**2)*(-162 + 210 - 102) + 5*s**4 + 0*s**4 - 4*s**4 + 3*s**4 - 5*s**4 + 4*s**4.\nAnswer: -321*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 163, 164, 165, 166?\nAnswer: 167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1488, 3099, 4710?\n\"Answer: 1611*m - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1143290*x = -1143256*x - 476 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, x: 7}. Give prob of sequence xss.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6630057.\nAnswer: 3, 7, 105239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-4) + 49\/(-14). Let j(g) = -g**3 - 4*g**2 + 3. Let v be j(c). Solve q + 8 = v*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 - -2 - ((5 - (2 - 12)) + -22).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 4*a = -52, -65*j - 4*a = -70*j - 34 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-1))\/((-4)\/48*8). Let o(a) = 21*a + 33. What is the remainder when o(n) is divided by 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*t - 26*t + 98*t + 122*t + t.\nAnswer: 180*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 5*i**2 + i - 4. Let o be x(5). Let g be 4\/(o + 0 + 1). Suppose -g*l = -0*l. Solve l*f = -4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/2 of a microgram in nanograms?\nAnswer: 31500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 2*v - 2336, -3*r + 2*v = 1559 + 193. Let q = 2689 + r. Let j = 29579\/14 - q. What is the common denominator of j and 79\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 9745, 19489, 29233?\n\"Answer: 9744*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8665 + 8669. Let w = 0.1 + -0.2. Which is the closest to 8? (a) j (b) w (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 1. Let y(p) = 34*p - 4. What is 6*q(s) + y(s)?\nAnswer: 34*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 54*r - 430. Let h be b(8). Let j(n) = -2 + 3 + n + 5. Let f be j(-10). Sort 1, h, f in decreasing order.\nAnswer: h, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -9*a**2. Suppose -2*b + 0*b + 5*l + 15 = 0, 3*b + 4*l + 12 = 0. Let x(n) = 0*n + b*n - n**2 + 3*n**2. Calculate y(x(s)).\nAnswer: -36*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1154 - -1154. Which is the nearest to 1? (a) -14 (b) f (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fbwwmbwfuwwubb. What is prob of sequence wu?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6405 - 2794. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 14 = -3*g - 7, -2*b - 2*g = -2. Suppose -97*q + 32 = -2*c - 96*q, -4*c + 9*q = 106. Put b, c, -1, -4 in ascending order.\nAnswer: c, -4, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 292 + -292.09248. Let k = -9.89452 + s. Let o = 10 + k. What is o rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/15)\/(12\/(-15)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -431 bigger than -433?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2379\/380 - 1\/95. Calculate the common denominator of 149\/18 and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2516 and -86059?\nAnswer: 88575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*b + 14*b - 111. What is the closest to 4 in 2, -0.5, 0.01, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 109543900 by 27385975.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + 7. Let r be ((-16)\/32)\/(1\/(f + 0)). Is 1*3\/r - (-1692)\/8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zfow when four letters picked without replacement from {f: 5, s: 1, e: 5, z: 4, o: 1, w: 1}?\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 897 = -12*o + 25*o. Suppose -209 = -10*s - o. What is the greatest common factor of 2 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 380 = 4*u, 0*u + 3*m = 3*u - 279. Calculate the remainder when u is divided by (0 - 198\/8)*(-44)\/33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 33\/5 of a millennium?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -152 + 155. Suppose 2*t + t + 39 = 0. Let q = 333 + -337. Which is the nearest to t? (a) q (b) -2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -73 - 372 - 246 - 203*z**4 wrt z?\nAnswer: -812*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**5\/11 + 58*a**4\/11 + 60*a**3\/11.\nAnswer: -2*a**3*(a - 30)*(a + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**3 - 3*f**3 + 3*f**3 - f**3 + 4*f**3 - 4*f**3 + (-1 + 1 + 2*f)*(-5*f**2 + 3*f**2 + f**2) + 1397*f**3 + 164*f**3 - 42 + 40.\nAnswer: 1555*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 990643 is divided by 167?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6747 - 6739. Which is the third biggest value? (a) 0 (b) -10.4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n**3 - 11*n**3 + 320*n**2 - 268*n**2)*(-8 + n + 8).\nAnswer: -6*n**4 + 52*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-506)\/506*(-13)\/5.\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 68*p*y**4 + p*y**3 - 6*p*y + 52*p + 2*y**2 wrt y.\nAnswer: 816*p*y**2 + 6*p*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9734*d + 4878*d + 4851*d.\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 5*z - 44 = 0, -3957*n + 3945*n - 3*z + 6 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**3 + 4*g**3 - 3*g**3)*(17 - 141*g + 14 - 31).\nAnswer: 141*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 30*y + 44. Is p(38) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 10:55 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -267547 and -39.\nAnswer: 10434333","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -72 - -190. List the prime factors of i.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0 = -3. Let i be (-1 - w\/4)*-12. Let u be 2\/3 - (-7)\/21 - -3. Which is the smallest value? (a) u (b) -2\/5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-8 - -4) - 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*g + 27*g = 16*g + 92 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2552 - 125007\/49. Find the common denominator of j and (-1)\/18*(-16)\/((-448)\/60).\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 8*l - 3*l. Suppose z = -0*z + 18. Calculate the lowest common multiple of z and l.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -3, 6.\nAnswer: -3, 0.1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/12 and -61\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -14356513 (base 7) to base 11\nAnswer: -848a44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 391 a factor of 9785825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-30)*(27\/39)\/(-3).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5025)\/1000 - -15 - -7*(3 + (-124)\/28)?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -5, 3 in ascending order.\nAnswer: -5, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 a when two letters picked without replacement from awgqfaa?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43.77027 + 14.23383. Let y = 0.1091 + -58.1091. Let r = d + y. Round r to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/106 and 31\/4664?\nAnswer: 4664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4194 - (-1 - 6\/(-3)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40839459*v**4 + 11549274*v.\nAnswer: -490073508*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -0.3 (b) -0.04 (c) 0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-98)\/2303 + (-2109)\/141\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 + 148*f**2 - 4210*f + 24444.\nAnswer: 2*(f - 14)*(f - 9)*(f + 97)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l = -5*l - 1616. List the prime factors of l.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 504 - 75. Let f = s - 5997\/14. Calculate the common denominator of f and 71\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -1\/9*x**3 - 1\/24*x**4 + 1\/4*x**2 + 38 + 0*x. Find g such that s(g) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 65*w - 2404. Let b be h(37). Is b smaller than 0.00637?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -50, -13172, 4 in increasing order.\nAnswer: -13172, -50, -7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22990 - -22991. Which is the closest to 80? (a) -0.11 (b) g (c) 1\/5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -48.59 from -0.084.\nAnswer: 48.506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 62*l**2 + l + 8. Let c be v(2). Let i = c + -152. List the prime factors of i.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 993943529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001000101101110110 (base 2) in base 8?\nAnswer: -2105566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -570.43989 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or -2.23025?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**3 + 0*s**3 - 5122264*s + 5122264*s.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 131 - 103. What is the lowest common multiple of t and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 166 - 111. Suppose 0*k + 117 = 5*i - 2*k, 3*i - d = 5*k. Suppose -20*p + i*p - 510 = 0. Calculate the remainder when p is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**3 - 2296*i**2 - 52640*i + 114432 = 0. Calculate i.\nAnswer: -24, 2, 596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in -17, 0.4, 44\/25, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9501750091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 3*g + 5 + 6.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216) + 1)*5 + 4 + (sqrt(1216) + -6*sqrt(1216)*2 - ((sqrt(1216)*1 - sqrt(1216)) + -4)))**2.\nAnswer: -1248*sqrt(19) + 43945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13325*u**5 - 805*u**2 wrt u.\nAnswer: 799500*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9631 - -9634. Solve -149 = w*z - 152 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 9*c**2 - 2*c + 3. Let n be o(-3). Calculate the highest common divisor of 36 and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyqaqqqqaqaybyywbyq. What is prob of picking 3 q?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1502 and 11?\nAnswer: 16522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5106755 is divided by 346?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 96042\/5 or 19209?\nAnswer: 19209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10686 greater than 10686?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 208.87 - 208.87. Which is the nearest to -1? (a) o (b) -5\/31 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 5:07 AM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 118 divided by 242012\nAnswer: 59\/121006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -391 + 400. Find the second derivative of 53*d**2 - 28 + 28 + 0*d + d + 50 + g*d**2 wrt d.\nAnswer: 124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -146, -462, -1068, -2060, -3534?\nAnswer: -5586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 9) to base 14.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(2\/13) + (-12)\/8. Which is bigger: 12 or r?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 8*s - 1. Let l be p(9). Does 33 divide ((l\/3)\/(-2))\/((-5)\/990)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 637.18566 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12087665 to the power of 1\/3, to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - -5. Suppose 13*q - j = 19. Suppose -4*z = q*z - 1946. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9680 + 13862. Is 86 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -134490 (base 13) to base 12\nAnswer: -1a5bb9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -5*c**2 - 15. Let x(r) be the third derivative of -r**5\/30 - 4*r**3\/3 + 29*r**2. Let m(s) = 6*a(s) - 14*x(s). What is the derivative of m(v) wrt v?\nAnswer: -4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*m - 5*m - 48. Find the first derivative of 106 + 12*y**4 - 26*y**3 + 44*y**3 - m*y - 18*y**3 - 4*y**4 wrt y.\nAnswer: 32*y**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/55992 and 28\/2778603?\nAnswer: 22228824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*u - 88 = 0, -2*u = 3*a - 5*u - 309. Suppose -b - 246 = -4*w - 50, a = 2*w + 2*b. Calculate the remainder when w is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 2 - -34)*(-216)\/(-252). Let q = 28 - v. Let u(f) = 2*f**2 + 3*f + 2. Calculate the lowest common multiple of u(q) and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x**2 + 9. Let q(u) = 11*u**2 + 13*u - 5. Let l(p) = 5*p**2 + 6*p - 2. Let y(w) = 13*l(w) - 6*q(w). Determine -4*s(v) + 9*y(v).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o - 38. Let d(a) = 36*a**2. Give v(d(k)).\nAnswer: 108*k**2 - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 7*k**2. Let j(w) = w + 21 - 21. What is s(j(n))?\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2637 + -2627. Let k be 11 + -2 - (2 - 3). What is the greatest common divisor of y and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111092.\nAnswer: 2, 27773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 321 + 106 = 0. Let s = q + -32. Let t be (4 - 2)*(2 + (-26)\/(-4)). Solve b - s = -h - 2*h, -b = 5*h - t for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 119396.424 hours?\nAnswer: 710.693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -2*h**3\/3 - 2*h + 1. Let s(w) be the first derivative of t(w). Let b(k) = -118706 + 118706 - 2*k. Calculate b(s(m)).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.8 (b) -0.2 (c) 1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1012201201 (base 4) in base 16?\nAnswer: -46861","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 649050875?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 5*b - 10. Let p be c(7). Let k be -8 + (0 - p) + 4. Let v be 14\/136 + (-2)\/k. Are v and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1207, 4844, 10913, 19420, 30371?\nAnswer: 43772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 8664.3503 and -0.7?\nAnswer: 8665.0503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vnvnnnnvnvnvv. What is prob of sequence nvvv?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/(-27))\/(3\/(-21)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*m**2*r**2*v**2 + m**2*r**2*v + m**2*r**2 - 55170*m*r**2*v**2 - 11387*r**2*v + r**2 wrt v.\nAnswer: -50*m**2*r**2 - 110340*m*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -12*i + 19. Solve -1 - 3 = z, -2*q + i*z + 22 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.9 + -1.4. Suppose 0 = -w + 5*w + 8. Let q(t) = 5*t**2 - 38*t + 46. Let j be q(6). What is the closest to w in j, -0.2, f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 at most as big as -11\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 2*x - 2. Let w be 1\/(x*2\/(-76)). Suppose t + w = 45. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*c - 20*c - 3*q - 201 = 0, 0 = -c - 4*q + 57. Suppose 0 = c*t - 56*t - 765. Is 5 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of p**5\/270 + p**4\/27 + p**3\/9 - 2*p**2. What is d in m(d) = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.062 - 0.97. Let b = r + -0.712. What is b rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, l: 9, n: 2, t: 8}. What is prob of sequence lt?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 5*p**3 - 132*p**2 + 49*p + 84. Let c be i(26). Let r(k) be the second derivative of k**4\/12 - 7*k**3\/6 + 9*k**2\/2 - 2*k. Determine r(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -3, -25, -16, -1, 6 in ascending order.\nAnswer: -25, -16, -11, -3, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.91 + -1.71. Let o = -62\/7 + 283\/28. Sort 27, o, l, 0 in ascending order.\nAnswer: 0, l, o, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1155 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 5*q**2 - 5*q + 1. Suppose 2*t = -2 + 14. Let g be n(t). Suppose -5*f = -g - 13. Solve v = -f*v - 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1)*x**(-1\/11)*x assuming x is positive.\nAnswer: x**(-1\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -5 (c) -0.9 (d) -0.2 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 14 = -4*w + 9*w + 45, -28*t = -3*w - 377 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 91528\/11 - 8321. Which is the fourth smallest value? (a) 23 (b) -0.3 (c) l (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 571.\nAnswer: -571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51632 and 1120?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*w**5 - 5730*w**4 + 4*w**3 + 165*w + 17 wrt w.\nAnswer: 40*w**3 - 68760*w**2 + 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10 - (-5 - -2)*-1. Let f = -2 - -3. Calculate the highest common divisor of k and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(3\/13)*d))\/d)\/(d*d**(-16)*d) assuming d is positive.\nAnswer: d**(166\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-3\/8)*b*(b\/((b\/((b\/((b\/(b**0*b))\/b)*b)\/b)*b)\/b))\/b*(b*b\/(b**0\/b)*b*b*b)**(-40) assuming b is positive.\nAnswer: b**(-1907\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3078, -9090, -15108, -21132, -27162, -33198, -39240?\n\"Answer: -3*b**2 - 6003*b + 2928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*d - 381 = -32*d + 373 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 5 = -4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -689 take away -0.51?\nAnswer: -688.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67917.\nAnswer: 3, 22639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 786302 + -16512278\/21. Let 62\/21 - v*k + 2\/21*k**2 = 0. What is k?\nAnswer: 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 219*l + 14*l**2 - 599*l + 373*l.\nAnswer: 14*l**2 - 7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 183366\/11 + -16670. Which is the third smallest value? (a) -3 (b) z (c) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -47.5 + 33. Let m = d + 14. What is the third smallest value in m, 2, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1092, -2136, -3006, -3612, -3864, -3672, -2946, -1596?\n\"Answer: 15*y**3 - 3*y**2 - 1140*y + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 11:51 AM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = v + 82, 710*n + 2*v + 160 = 718*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*d - 9 = -204 + 1294 + 2351 for d.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 158874300 and 21?\nAnswer: 1112120100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**2\/5 - 14812*i\/5 - 27424418\/5 = 0?\nAnswer: -3703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -48*x**2 + 9*x - 107. Let t(u) = 12*u**2 - 2*u + 27. Determine 9*t(i) + 2*v(i).\nAnswer: 12*i**2 + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9336 and 7002.\nAnswer: 28008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -437234, -874397, -1311560, -1748723?\n\"Answer: -437163*o - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -10. Let h = 7.7 + y. Let z = -0.1 - h. Do -0.1 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = q - 30. Suppose q*s + 3*o - 21 = 3*s, -3*s = -3*o - 3. What is the smallest common multiple of s and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1412448 and 4001936.\nAnswer: 24011616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -12356?\nAnswer: -12360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29918888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/30 and 73\/9264.\nAnswer: 46320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (1827\/(-93786))\/((-4)\/44)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 22 = 4*c, 3*c - 5*y = 2*c. Solve c = 3*k - 2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 3457.\nAnswer: 10371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -57 - (-23 - (34 - 20)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6602 + -6601.069. Which is the closest to -2? (a) 0.3 (b) 4 (c) 2\/7 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 7*n**2 + 10*n - 9. Let l be p(-9). Let k = -35 + l. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -28 in decreasing order.\nAnswer: -4, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58 and 10672?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of 0 - 7\/20*s**5 - 36*s**2 + 41\/6*s**4 - 38*s**3 + 17*s. Factor n(j).\nAnswer: -(j - 6)**2*(7*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**5 - 168*q**4 + 63*q**3 + 89370*q**2 - 520992*q + 769824 = 0. Calculate q.\nAnswer: -22, 3, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d - 2*h = -19*d + 13873, 0 = -5*d - 2*h + 69365. What are the prime factors of d?\nAnswer: 13873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/(-35) + 209\/1045?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + k + 88. Calculate the greatest common divisor of 22 and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 10:48 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 15 - -ae993?\nAnswer: ae9a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8ad (base 15) to base 2.\nAnswer: -11110101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9124, -9574, -10316, -11350, -12676?\n\"Answer: -146*j**2 - 12*j - 8966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.31 and 0.8?\nAnswer: -0.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 324852019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 15. Suppose -k*a = -a. What is the derivative of a*r + 0*r - 5 + 6 + 2*r**4 wrt r?\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -151 divided by -16.\nAnswer: 151\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -185412 by -5.\nAnswer: 185412\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -67.179 + -1.721. Let z = b - -71. What is z rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 275148 and 10.\nAnswer: 1375740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -5*n + 9. Let y(g) = 9*g - 17. Let x be 2\/(-5) - (-13)\/(-5). Let k = -1 + x. Let f(m) = k*y(m) - 7*v(m). Determine f(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of f**2\/2 + 8. Let n(b) = -8*b**3 + 38*b. Let x(m) = n(m) - 4*r(m). Find the second derivative of x(c) wrt c.\nAnswer: -48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17927957?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x + 21*x = 5*c - 13, 5*x - 3*c = 0. Let t(j) = -j**2 + 3. Let q(o) = -o**2 + 1. Let s(v) = x*q(v) - t(v). Let m(z) = -183*z + 1. Give s(m(b)).\nAnswer: -66978*b**2 + 732*b - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of g**3\/3 - 7*g**2 + 3*g. Let i be y(10). Let h be 6\/(-8)*(-16)\/i. Is -0.2 at least as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/(-6) + (-12)\/(-36). Let m = 20 + -10. Suppose 5*z = m*z - 25. Solve z*u + x + 13 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.9 or 4678238?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -21224 + 46?\nAnswer: -21167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyy when four letters picked without replacement from yyyyyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 817697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-5)*(32\/(-3) - -9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49 - -51. What is the biggest value in -9, w, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5949.094 + -5949. What is the closest to 2 in c, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2222 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-10013)\/418 - -24)\/(((-95)\/10)\/19)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -5.3 (c) -1\/3 (d) -0.54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, h: 6, b: 4}. Give prob of sequence bhb.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of x**5\/10 - x**4\/2 + 5*x**3\/6 - 19*x**2. What is the remainder when 72 is divided by g(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -41151, -82208, -123265, -164322, -205379?\n\"Answer: -41057*d - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.05, -1\/10, -15408?\nAnswer: -15408","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6470569613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 83 + -38. What is o rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 7*p**2 - 6*p. Let f(r) = r**3 - 14*r**2 + 14*r - 19. Let l be f(13). Let u be x(l). Solve u = z - 3*z + 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2914 + -1714. Suppose m = 7*m + o. Let h = -108 - m. What are the prime factors of h?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 51, 82, 115, 144, 163, 166?\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -48aba9 (base 12) to base 16\nAnswer: -120231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 3 - (9 + -16).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.5 + -2. What is the nearest to 0 in 2, -5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/7, 30\/11, -5\/3, -0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -4*o + 1. Let l(s) = 2*s. Let u be (9\/6)\/(3\/4). Let j(a) = a - 3. Let n be j(6). Give n*l(z) + u*i(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -b**6\/120 - b**5\/10 - 5*b**4\/24 - 2*b**3\/3 - 5*b**2. Let s be m(-4). What is the units digit of (4 - 3)\/((-2)\/s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144280000 rounded to the nearest 1000000?\nAnswer: 144000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**2 + 13*q - 3. Let c be r(6). Suppose c*v = -g + 5944 - 952, -2*v - 3*g = -3335. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {d: 9, g: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3843662 to the power of 1\/3, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 18*i**3 + i**2 + i. Let r(k) = 77*k + 538. Let l be r(-7). Calculate z(l).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10928 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + 42*(3 - -227) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifteenth of a day?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.153394403 to 2 dps.\nAnswer: 1.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of t**8\/84 + t**5\/15 - 2*t**2 - 6*t. Let b(f) be the first derivative of h(f). What is the third derivative of b(u) wrt u?\nAnswer: 240*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d = -94 + 42. Does 10 divide (d\/12)\/(10\/(-2340))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4285963.5 - -3544534. Let c = -741430.49999976 - k. Let r = c + 1. What is r rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41 and -15\/206.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 89800 to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -380, -529, -704, -917, -1180?\n\"Answer: -2*c**3 - c**2 - 132*c - 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-4) + 124\/16. Let a*m**3 + m - 8*m**2 + 4*m**4 - 4*m + 4 - 2*m - 4*m**5 + m = 0. Calculate m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/1328104 and 69\/3652286.\nAnswer: 14609144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 25, 41, 51, 55?\n\"Answer: -3*w**2 + 25*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.212 or -5.14?\nAnswer: -5.14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -334343343 (base 5) to base 16.\nAnswer: -16998a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 739561 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-266)\/(-112) - ((-25080)\/704 - -33)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of x**4\/24 + 2*x**2. Suppose -4*u + 26 = 6. Let h be v(u). What is the greatest common divisor of h and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 79 = -6*b. Suppose -10*k = -b*k + 12. Solve 3*s = 1 - k for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i + 6. Let n(s) = 2*s - 13. Let c(v) = 2*n(v) + 5*t(v). Let a be c(2). Solve -u + 3*u + a = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 17*h + 198. Let p(g) = 9*g + 99. Calculate 5*p(k) - 3*s(k).\nAnswer: -6*k - 99","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2*q*q)**(2\/53)*(q**4\/q*q)\/((q**(1\/4)*q)\/q) assuming q is positive.\nAnswer: q**(827\/212)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n + 22. Let b(r) = -7*r - 71. Let v be b(-11). Let x be l(v). Is -2\/9 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2*g = 6*k - 17, -5*k + 5*g = -75. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 286362598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -148*0.5\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15815 is divided by 15742.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*l = -6*l + 268. Let v = 21 + -13. Put 3, l, v in decreasing order.\nAnswer: v, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.43 - -0.4. Let r = 0.03000002 + n. Round r to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.29 + -2.199. Let x = b + -0.091037. Round x to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5298 plus -0.1?\nAnswer: 5297.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*j = 4*i - 2949, -i + 4*j + 741 = 0. List the prime factors of i.\nAnswer: 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4 + 4 = 0. Let g = 2 - -2. What is the closest to -0.2 in l, 5\/4, g?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2. Let v(i) = 92474*i. Give x(v(c)).\nAnswer: -8551440676*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 - (-128 + 120 - (1 - 39))?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 968074.7 centuries to decades.\nAnswer: 9680747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/(-196)*7 + (-14)\/(-8). Suppose 0 = -k*w + 4*y - 16, -1 - 2 = -y. What is the third smallest value in -5, w, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 q when three letters picked without replacement from fhqfhqfqhqqfqqfqfqf?\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 495 and 95.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.69197 - 0.09197. Sort -0.4, 15, d.\nAnswer: -0.4, d, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + -7. Let r = -4 - p. Solve -3*z + 4*o + 25 = 0, r*o + 20 = 4*z - 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*b = -7, -5*p - 2*b - 3*b = -55. Let r = 14 - p. Suppose c = 4*j + 17, -3*j - 85 = -5*c - r*j. Calculate the greatest common divisor of 187 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 169*k**2. Let b(o) = -21198*o**2 - 12*o. Give b(q(v)).\nAnswer: -605436078*v**4 - 2028*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-41)\/(14145\/(-10))*45\/10?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2647 + 2783. Let l = -126 + -7. Let p = u + l. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3304 and 56?\nAnswer: 3304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 11\/2)*2 + (-54208 - -54145)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 8\/(-4) + 3. What is the third derivative of 21*o - 9*o**v + 5*o**5 - 21*o wrt o?\nAnswer: 300*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 3. What is the remainder when 35 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27092373551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9 + (-1 - 0) + -1. What is the units digit of (-1)\/((-1)\/r) - 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.88 + 0.63. Let s = -0.4 - -0.05. Let m = s - u. Is -0.7 less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -4*s + 7. Suppose 7 + 28 = -4*r + 3*w, 4*r + 5 = -3*w. What is o(r)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 0.6 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -4*u**2 - 260*u + 513. Calculate d(2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 40*u + 29 = 39*u, 23 = -7*x + 3*u for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/153 and 25\/27.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 48\/(-9)*(-17)\/(340\/45). Let r(o) be the first derivative of 10\/3*o**3 + 0*o + l + 5\/2*o**2. Find the second derivative of r(p) wrt p.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - m + 15 = 0. Suppose 2 = u - m. Suppose -3*t = 3*d + 9, 3*t + u*d + 17 = -t. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 5*u - 10, 4*o - 2 = -3*u + 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/5)\/((-4)\/10). Suppose -j + 5 + 48 = -2*n, -m*j + 4*n = -151. Is j a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 3:10 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2 + 2 = 0. Is u != -12\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 9:47 AM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooikokioggkkgkgigki. What is prob of picking 1 i and 1 g?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 1036 = 5*l + 362, -3*l + 398 = -2*c. Calculate the remainder when 535 is divided by l.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z**3 - 13*z**2 + 24*z + 7. Let t(p) = p**3 + 6*p**2 - 11*p - 3. Let m(x) = -6*a(x) - 13*t(x). Let j(v) = 1. Determine 3*j(i) + m(i).\nAnswer: 5*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (184\/160)\/((-3)\/12).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*a**2*m + 2849*a**2 + 22*m**3 + 8*m with respect to m.\nAnswer: 3*a**2 + 66*m**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.2 + -114.46. Let d = 118 + u. What is d rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3 - 875*y**2 - 15205*y - 14325.\nAnswer: 5*(y - 191)*(y + 1)*(y + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 22*m**2 + 67*m - 194. Give a(-25).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 6*f - 13. Let w(a) = a**2 + 7*a - 14. Determine 7*c(b) - 6*w(b).\nAnswer: b**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 169634 and 28836.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 92 = 3*x, -x = d + 4*x - 20. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7132 is divided by 121.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 57 = -3*y, -y = -2*m + 2 - 24. Suppose -2*a = -y - 0. What is the remainder when a is divided by 1\/(0 - (-1)\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 6*d**2 - 14*d + 5. Calculate the remainder when k(9) is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -789 - -778. Let j = 4080\/7 + -48533\/84. Let g = j - 23\/4. Which is the second biggest value? (a) -4 (b) y (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 4*n**3 + 0 - n**3)*(0 + 23 + 3) in the form d*n**3 + r*n**2 + a*n + x and give d.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -120 - -113.1. Let r = j + 7. Which is the closest to r? (a) -2 (b) -5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82219 is divided by 112.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67.5 + -2.5. Which is the nearest to -1? (a) -2\/7 (b) 0.1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/29)*(((p*(p*p**(1\/3)*p*p)\/p*p)\/p)\/p)\/p assuming p is positive.\nAnswer: p**(119\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(77)\/(sqrt(11) - sqrt(99)*5) + (-3*sqrt(448))**2*1).\nAnswer: -3*sqrt(7)\/7 + 24192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2 + 1 - 5 + c. Suppose 13 = -8*s + 93. Is 8 a factor of n(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -271*k = -4*u - 275*k + 16, 2*k + 4 = 2*u. Solve -u*b - 19 = -4*n, 4*n + 27 = -5*b + 38 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -14*d - 21. Let x be n(-7). Let c be 0 - -2 - (-42)\/x*-4. Which is smaller: c or 10?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 2*c + 16. Let w = 32 + c. What is the remainder when 28 is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -10. Suppose -a + 5 = -z - v, a - 1 = 2*z. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17.96 + -18. What is the nearest to 1 in r, 0.5, -1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 5*b**2 - 13*b. What is s(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7682 - -13223. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l**2 - 261*l + 1976. Let x be z(7). Solve 0 = -4*p + 3*j + 5, 39 = -3*p + x*j + 43 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18*(2\/(-12))\/((-9)\/(-468)*13)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-795)\/(-12) - 1*(-2 + 0)) + (-123090)\/(-164120).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/246 and (-2*12\/(-96))\/(21\/(-16)).\nAnswer: 1722","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*g - 24*g - 555 + 515 = 0. Let z(k) = 6*k**2 - 3*k - 3. Let v(l) = 18*l**2 - 10*l - 10. Suppose 5*q - 13 = 2. Give g*z(y) + q*v(y).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44912.\nAnswer: 2, 7, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 3)*(21*d - 30*d + 22*d - 2).\nAnswer: 26*d - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 936\/(-120) + 9 + -5 + 2. Sort x, 1\/38, 1\/9.\nAnswer: x, 1\/38, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l - 5. Let j(g) = -g**2 + g + 1. Let m(p) = -j(p) - s(p). Differentiate m(b) with respect to b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*f*m*v**3 - 2*f*m*v**2 - 21*f*m*v + 17*f*m - 1357*f*v**3 - f*v**2 - 20*f + 2*m*v**3 - 2*m*v**2 + 2*m*v - 94*v**3 wrt v?\nAnswer: 144*f*m - 8142*f + 12*m - 564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (27\/(-2))\/((-23)\/(-46)). Is i at least as big as -120?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + 0*c - 2*c)*(29*c**2 + 135 - 135)*(2*c + 0 + 0).\nAnswer: -348*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -498*c**3 - 120 - 501*c**3 + 997*c**3 to v*c**2 + k*c**3 + a*c + p and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 57363 and -2919273.1?\nAnswer: 2976636.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -494 by 247.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 4*u + 1. Let x(r) = -4 - 3*r + 4*r + 6 - 13*r + 2*r**2. Give 8*o(k) - 3*x(k).\nAnswer: 2*k**2 + 4*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 8:21 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.317, 11.\nAnswer: 0, 0.317, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 11) in base 5?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 1\/2*t**2 + 5 + 3*t + 1\/3*t**3 + 1\/12*t**4. Let o(j) be the first derivative of h(j). Factor o(m).\nAnswer: (m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-13 - 1)*1\/(-2). Let r = s - 3. Solve -2*g - d - 2 = 0, -r*g + d = 2 + 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -6 - 9) + -6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*u + 2*u + 15*u to the form i*u + k and give i.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(-15) + (-2060)\/(-25). Suppose 4*x - 79 = -3*d, 6*d - 3*d + 5*x = t. Calculate the highest common divisor of 42 and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 5 + (1 - 2) + 2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11034 to the power of 1\/2, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -1. Let b(r) be the second derivative of 5*r**4\/12 + r**3\/6 + 3*r**2 - 5*r. Let h(f) = b(f) + 6*q(f). Find the second derivative of h(y) wrt y.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4464 + 4200 = 12*x for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 820 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (2 + 1 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - (-205 - 1))*(3 + -1). Suppose 0 = 15*g - m + 33. Calculate the smallest common multiple of g and 40.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1184047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6061*x**3 - 8504677*x**2 + 8504677*x**2.\nAnswer: -6061*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -776 divided by 4\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 divided by -5?\nAnswer: -171\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 139\/12 in 3, 1\/3, -0.2, -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 192*z**2. Let k(t) = 2*t**2. Give s(k(h)).\nAnswer: 768*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - 1)*(4*b**2 - 2*b**2 + 0*b**2) + (-1 + 1 - 20*b)*(2*b + 0 + 0) to m + s*b + q*b**2 and give q.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = h - 1, 0*h + 21 = b - 4*h. Let i(j) = 4*j - 3. Let g be (312\/(-15))\/(-13) - 4\/(-10). Let o(w) = -9*w + 7. Calculate b*i(l) + g*o(l).\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(-5 + 5 + 2*n**4) - 2*n**3 - 2*n**2 + n + 184*n**4 - 185*n**4 - 2*n**3.\nAnswer: n**4 - 4*n**3 - 2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 3014.\nAnswer: -301.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7017.\nAnswer: 3, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*u**2 + 0*u**2 + 10*u**2)*(2 - 1 + 1)*(-2 + 1 - 2) to w + b*u**2 + z*u and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4924 + 4978.21. Let u = v - 54. Let k = -0.210000624 + u. Round k to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 115*o**2 + 2755*o - 120.\nAnswer: 5*(o + 24)*(23*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 - 23.1. What is the closest to 0 in -5, 0.5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 503622?\nAnswer: 2, 3, 7, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -8*r + 13. Let v = -27 + 28. Let o be d(v). Solve o*i = 2*f - 4 - 6, f - 10 = 5*i for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54709131?\nAnswer: 3, 61, 193, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1218204 and 208?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 6*g**2 + g - 8. Let a be c(6). Let y be (-1*(0 + 2))\/a. Solve 2*u + y + 9 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**3 - 2*a**3 - 66396*a + 4*a**3 + 132812*a + 0*a**3 - 66416*a.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 84*h**2 - 413*h**2 - 125*h**2 - 178*h**2 - 774*h**2.\nAnswer: -1574*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -196, -318, -436, -550, -660?\nAnswer: -766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8 - 1)\/(-2 - -3). Let t(i) be the first derivative of i**4\/4 - 7*i**3\/3 + 9*i**2\/2 + 7*i - 201. What are the prime factors of t(r)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*s - 5 = 0, 8 = 2*a - 5*s - 11. Let x(c) = -2*c + 1. Let u be x(a). Suppose -i = -2*i + u. Solve -4*f = 3*j + 4, -5*f + j = 17 + i for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 741*h**3*v + h**2 + 299*v wrt h?\nAnswer: 4446*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a6b - bc?\nAnswer: 97c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 15*l + 7027. Let q(n) = 19*n + 7021. Determine 4*q(t) - 5*u(t).\nAnswer: t - 7051","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 532?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2160)\/(-900)*15\/(-4)*(-10)\/3. Solve 2*n = 4*q - 0*q + c, 5*n - 20 = -q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/1*32\/160\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 2*t + 114 - 128 = 0, c = -4*t - 24 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 27972463, 55944904, 83917345, 111889786, 139862227, 167834668?\n\"Answer: 27972441*z + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*u - u. Let r be (2\/6)\/(u\/9). Let l(g) = 2*g - r*g + 3*g + 0*g. Let o(b) = -2*b**2. What is o(l(q))?\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - a + a + 0 + 0 + (3 - 3 + 1)*(-a - a + 4*a))*(-a**2 + 2*a**2 + 7*a**3 - 9*a**3).\nAnswer: -4*a**4 + 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/49 - 71\/(-7). What is the first derivative of 8*i**3 + 71 - 32 + x*i**3 - 37 wrt i?\nAnswer: 54*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.8 (b) 11 (c) 3\/5 (d) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1 + sqrt(28)*-1 + sqrt(28))**2 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/3)\/((-4)\/(-6)). Let s = -183 - -196.7. Let k = s + -14. Which is the nearest to 0? (a) 2 (b) j (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-10))\/g*g)\/g*g**(1\/6)*(g**3)**50 assuming g is positive.\nAnswer: g**(961\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17771237 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 297\nAnswer: -1188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.5 - -9. Let p = -0.8 + t. Is p greater than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31167971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 15) in base 3?\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from scjcs. What is prob of sequence jc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -3\/4, 3, -0.33 in descending order.\nAnswer: 3, -0.33, -3\/4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2 + 187935*z - 187932.\nAnswer: -3*(z - 62644)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -292, -344, -412, -478, -524, -532, -484, -362?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**1*b)\/b)**28\/((b*b**(-3\/4))\/(b**10*b)) assuming b is positive.\nAnswer: b**(155\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of z**6\/2 - z**4\/2 + 2*z**2 - 53*z. What is the third derivative of l(s) wrt s?\nAnswer: 360*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 2*t**2 - 11. Calculate u(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 72729694 to the power of 1\/2, to the nearest integer?\nAnswer: 8528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7201237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does -210 = -204?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -42*q - 7156. Calculate x(-133).\nAnswer: -1570","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*n = -n - 84 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**4*h**2 - 3*g**4*h + 6*g**3*h**2 - 2*g**2 - 183*h**2 wrt g.\nAnswer: -48*g*h**2 - 72*g*h + 36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13053879.\nAnswer: 3, 161159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 126480883*k**4 - 91091720*k**2 wrt k?\nAnswer: 3035541192*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1035630507?\nAnswer: 3, 461, 748829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 123217562*w. Let x(y) = -2*y. Calculate x(c(f)).\nAnswer: -246435124*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22.1 - -23. Let n = w + 0.1. Let z = 108 + -542\/5. What is the closest to 0 in -3\/2, n, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1308 = 3*q - 1275 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**4 + 43140*c**3 - 129450*c**2 + 129460*c - 43155.\nAnswer: 5*(c - 1)**3*(c + 8631)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 394 is divided by 103?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m**(-1\/4)*m)*m)**(2\/57)\/((m*m\/m**8)\/(m**(-1\/3)*m)) assuming m is positive.\nAnswer: m**(769\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -2\/7 (c) -5 (d) 2\/5 (e) -4 (f) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/9, -0.06, -0.4, 391, 0.6 in increasing order.\nAnswer: -0.4, -0.06, 0.6, 7\/9, 391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2*n**3 - 2)*(-4282*n - 549*n + 961*n - 2624*n + 678*n) to the form s + i*n**4 + g*n**2 + q*n + k*n**3 and give i.\nAnswer: 11632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7504, 15081, 22658, 30235, 37812?\n\"Answer: 7577*v - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-779*u - 57*u**3 + 779*u)*(-2*u**2 - u**2 + 2*u**2) - 4*u**5 + 3*u**5 - u**5 + (0*u**2 - u**2 + 0*u**2)*(4*u**3 - 2*u**3 - u**3).\nAnswer: 54*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 53137439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4019, -16078, -36177, -64316, -100495, -144714, -196973?\nAnswer: -257272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/127 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 12*s**2 - 4*s + 5. Let m = 12 + -8. Let f(c) = c**2 + c + 1. Let y(t) = m*f(t) + x(t). What are the prime factors of y(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l**4 + 54000300*l**3 + 2*l - 16958081.\nAnswer: -24*l**2 + 324001800*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/10)\/((-6)\/1080). Calculate the highest common divisor of 9 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/10 and -23\/210031.\nAnswer: 2100310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 8b266 (base 12) to base 8\nAnswer: 551656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 380 = d + 3*d. Calculate the highest common factor of 19 and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13717, 13708, 13699, 13690, 13681?\nAnswer: 13672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 15 = -3*o, -174*m - 9 = -171*m for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12.2 + 7.9. Let g = 4 + m. Let r be (-1)\/(-9)*15\/10. What is the third biggest value in r, g, -0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = r + 2. Let o(m) = -1 - m + r*m - 2*m - 1. Let z be (-5)\/(-15) + (-7)\/3. Determine o(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - -2 - 4)*(-6 + 5). Solve 0 = -5*j + s*y - 20 - 1, 2*y = 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 1:23 AM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -19447884 divided by 1620657\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 1. Let s(r) = 14*r + 8. Let q be 3*(62\/(-6) - -10). Calculate q*s(j) + 6*x(j).\nAnswer: -14*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 91260838441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 5 - 3\/3*-2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**3 - 20*v**2 - v. What is o(10)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1086428706 and -0.5.\nAnswer: 1086428705.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 13*y + 128. What is p(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.089 and -4.\nAnswer: 0.356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 4*f - 1319 = -7*f, 2*j + f - 661 = 0. What is the greatest common factor of 166 and j?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6\/13 (b) -5\/16 (c) 149\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 2, 0.4, -2\/7, 0.571, -1\/2, -12\/73?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -11. Suppose -3\/2*i**z - 9\/2*i - 3 = 0. What is i?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 2:30 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11220100 + -1201?\nAnswer: 11211122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 41 = 5*v, -3*v = -8*w + 3*w + 93. What is the highest common factor of 45 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 - -314?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/4*((-1)\/(-5))\/(1\/(-1)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128\/16 + 15\/(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/27, 4, -2\/7, -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llr when three letters picked without replacement from {q: 3, r: 11, l: 4, s: 1}?\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3*u**2 + 18*u**2 - 30*u**2 + 17*u**2. Let r(z) = 182*z. Give d(r(g)).\nAnswer: 66248*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + -5 + 6 + -5. Let w(k) = -23*k**2 - 8*k - 2. Let l be w(h). Let f = l + 143. Calculate the remainder when f is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/4 - 175\/20 - -5. Put 0, -2, a, -10 in decreasing order.\nAnswer: 0, -2, a, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*q**6 + 127469*q**3 - 2*q**2 + 3*q - 51226 wrt q.\nAnswer: -360*q**3 + 764814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42 - 40. Suppose -w - 4 = -a*w. Solve 2*n - 2 = u, -5*u = -3*n - w + 7 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {x: 2, g: 9}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 5:39 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(-1)\/((-2)\/8). Let l be 4 - 2 - (-1 + 3). Suppose -2*x + 6*x + 4 = l. Put 2, h, x in decreasing order.\nAnswer: 2, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5067509*c*y**4 - 2*c*y + 77*c - 2*y - 127 wrt y?\nAnswer: 60810108*c*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7348 and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29111829?\nAnswer: 3, 109, 127, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*o + 154*o - 75*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*c + 22*c + 5*c in the form b + k*c and give k.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150512 is divided by 53.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -82 + 82. Suppose 3*t - 3*y - 198 = g, -y + 272 = 4*t + 3*y. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u - 12*u**2 - 5*u**2 + 2*u + u + 44 - 54 to g + b*u**2 + v*u and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of j**2 - 1317*j - 3417 wrt j.\nAnswer: 2*j - 1317","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00047445863 rounded to seven dps?\nAnswer: -0.0004745","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**1\/o*o*o**5\/o*(o\/(o*o*o\/(o**2*o))*o)**(-2\/131))**(3\/19) assuming o is positive.\nAnswer: o**(2346\/2489)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -53300 rounded to the nearest one thousand?\nAnswer: -53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) 1\/7 (c) -2\/1473 (d) -5 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210012 (base 3) to base 8.\nAnswer: -1074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + 0 + 0 + (-1 - 3 + 3)*(-g**2 + 0*g**2 + 2*g**2))*(-2 - 1 + 5 + 3 + 0 - 1 + (-1 - 1 + 0)*(5 - 4 + 0) + 2 + 4 - 2)*(-7 - 8 - 2).\nAnswer: 306*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 122\/(-488)*(0\/24 - -76).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of h**4\/4 + 6*h**3 + 12*h**2 + 13*h + 19. Is c(-16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-11)*(-4624)\/9248?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 8*b**2 - 15*b + 49. Is u(15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence km when two letters picked without replacement from {w: 3, s: 1, h: 1, e: 3, k: 8, m: 2}?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2001011 + 12023102?\nAnswer: 20030113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 38 or 6361\/4?\nAnswer: 6361\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + u = 15, -4*t - 17*u + 21*u = 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.12+471435001\nAnswer: 471435001.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dggkkmmkmgmmggo. What is prob of sequence ko?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.3 + 0.7. Let z = 2.6 - 3. Which is the third biggest value? (a) 0.2 (b) t (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 143?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**2 + 80*m - 1347. Let y be j(28). Is y at least as big as -674?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2694691122?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g + 2 - 2*g - 3 + 3.\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 53*b + 237. What is the hundreds digit of j(20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18107 - -18335. What is the greatest common factor of 204 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 224 divided by -4.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.8 minus 715098?\nAnswer: -715090.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -99.524 minus 1?\nAnswer: -100.524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2547 at least -2546?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((108\/(-32))\/(-9))\/((-2)\/(-4)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -4*r. Let s be (-48)\/(-9) + (-5)\/15. Let c(b) = 0*b - s*b + 3*b + 4*b. Determine m(c(d)).\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5*r = 101, -70*r + 65*r - 5 = 0. Let v(m) be the second derivative of 2\/9*m**3 + 1\/54*m**4 + 5\/9*m**2 + 0 + l*m. Determine i, given that v(i) = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + r = -14, r + 6 = 2. Suppose 4*x + 35 = -x. Let t = x + 5. Do t and v have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w**3 - w**2 + w + 1. Let g be m(-1). Suppose 0 = g*q + 5*b - 33 - 15, 3*q - 65 = -4*b. List the prime factors of q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 10868 = 18*v - 23*v, -5*v + 10908 = 4*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 54\/61151 or 39?\nAnswer: 54\/61151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4409 + -17611\/4. Determine b, given that 35\/4*b**2 + 0 + w*b**3 + 15\/4*b + 5\/4*b**4 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.560086mm in centimeters?\nAnswer: 0.0560086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven eighths of a kilometer?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 173*z - 2431. Give v(8).\nAnswer: -1047","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 76768 and 2981355375.\nAnswer: 2981432143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 657131 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: Rearrange 19*u - 6*u + 7*u**2 - 10*u - 11*u**2 + 1 to the form i + k*u + g*u**2 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4 = -4*c. Solve -3*w - c = 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of v**3\/6 - 3*v. Let a(q) = 6*q - 3. Let o(l) = 3. Let k(w) = -a(w) - o(w). What is b(k(m))?\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 20*t + 112. Let d = 22 - 27. Let x be c(d). Solve -p - 4*z + x = -3, 4*p - 3*z = -35 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 82 (b) -0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -27172 - 3b?\nAnswer: -271b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 70 - 65. Let k be 65 + 2 - x\/1. Let r = 65 - k. What is the greatest common factor of r and 75?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 31 (b) -9 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5011878?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*h + 3*s, 7*h + 3*s = 2*h - 5. Solve 3*x = -x - h*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20207235 (base 8) to base 3.\nAnswer: -22000121112102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11735 or -199470\/17?\nAnswer: -11735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rqf when three letters picked without replacement from feqeeevyeeqeeereeefe?\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 7*w**2 + 5. Let a be k(7). Let q(n) = -n - 7. Let h be q(-5). Let v be (-1)\/(h\/4) - 5. Sort a, 4, v.\nAnswer: v, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 3*l - 639, -l - 2*l = -5*h - 648. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 12 = -i, 3*s + 5 = 2*i - 14. Suppose -4*y - 4*p = -52, i*y + 5*p - 35 = -0*p. What is the units digit of 1*y - 1\/1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -461 divided by 44770?\nAnswer: -461\/44770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (1 - (-2 - (0 - 10)))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -5*q + 126, -4*s - 165 = -17*q + 193 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04829617 to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 6*r**2 + 7*r + 7. Let c be (1 - 2)\/((-2)\/14). Let n be g(c). Suppose 7*f = 2*f + 5*v + n, -v = 3*f - 47. Does 13 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-6*-1*sqrt(425) - sqrt(425) - -5*-1*sqrt(425) - (-2*sqrt(425) + 4 + -5))*-2 + 3)**2.\nAnswer: 200*sqrt(17) + 6825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -8*g + 35. Suppose -2*p + p = -g*h - 29495, 3*p + 17715 = -3*h. Round h to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1721, -6865, -15437, -27437, -42865, -61721?\nAnswer: -84005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 385 and 660?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 25? (a) 0.4 (b) 3 (c) -81\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 16. Suppose x = -4*g + 7 + 9. Suppose -i + 245 = g*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -150195, -300380, -450569, -600762?\nAnswer: -750959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4aba4b + -2?\nAnswer: 4aba49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -450*r**2 + 3 - 328*r**2 - 233*r**2 + 148*r**2 + 1 to the form w*r**2 + j + y*r and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 126*y + 3652. Give k(-29).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -100 bigger than 3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {i: 1, f: 1, h: 1, m: 2, g: 1, z: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 2408?\nAnswer: 12040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -7*j**6\/15 + 107*j**5\/10 - 185*j**4\/2 + 1025*j**3\/3 - 250*j**2 - 5*j. Factor x(l).\nAnswer: -2*(l - 5)**3*(7*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -86?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3114751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1551*c**4 + 709 wrt c?\nAnswer: 6204*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -18, 95, 364, 849, 1610, 2707, 4200, 6149?\n\"Answer: 10*u**3 + 18*u**2 - 11*u - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -16. Let u = 10 + s. Solve -8 = 5*b - u for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -8*z - 104. Let b(v) = -v**3 - 7*v**2 + 8*v - 4. What is b(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmmmmm. What is prob of sequence mmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -639, -1735, -3339, -5451, -8071, -11199?\nAnswer: -14835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 78981?\nAnswer: -7898.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a32448 (base 13) to base 16.\nAnswer: 83b118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 14 = -5*x - 6*i, 7*x = -2*i + 30 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = u - 9. Let a be u*1 + 120\/64. Let s(c) = -13*c - 119. Let r be s(-9). Which is smaller: r or a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.7 + 0.4. Let i = -2 + 5. Let s be 1*i - (-2)\/(-1). What is the third biggest value in s, y, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14682 or -5?\nAnswer: -14682","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25235 + -240013?\nAnswer: -210334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(3 - 2*d**2 - 3).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10213303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41802201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 9, y: 2}. What is prob of picking 2 n and 1 y?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 25.6?\nAnswer: -22.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**3 + 2*z**3 + 2*z**4 + (-4*z + 5*z + z)*(-2*z**3 + 4*z**2 - 4*z**2) - 24*z**4 + 22*z**4 - 28*z**4 + z**4 + z**4 - 3*z**4.\nAnswer: -33*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 5*s - 204 + 5*s - 26*s - 21*s - 2*s. Calculate the smallest common multiple of a(-6) and 54.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k**2 - k**2 - k**2 - 1 - 3*k**2 + 1 + (-k - 2*k + k)*(0*k + 3*k - 6*k) - 143*k**2 - 193 + 390 - 194 in the form v*k + q*k**2 + b and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -24206.\nAnswer: 2\/12103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 457 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 1408*h - 697*h - 742*h - 68. Does 82 divide j(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12 - -48?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 12*d**2 + 3*d - 14. Let o be z(12). Suppose 85 = 5*s - 4*i, -2*s + 2*i = -o - 10. What is the remainder when 39 is divided by s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 10*y + 39. Let q(v) = -3*v - 14. Let g(u) = 2*m(u) + 7*q(u). What is g(-11)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 47*q + 414. What is r(55)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-61 + 47 + -5 - (-13 - 0)) + 3 + -25?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 121665 - 314?\nAnswer: 121351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 149 - 152. What is the fourth biggest value in 2\/7, -9, b, -4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1699*d - 465*d + 1140*d - 916*d in the form w + h*d and give h.\nAnswer: -1940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.88838mm in kilometers?\nAnswer: 0.00000488838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 4. Let i(j) = -3*j**2 - 11. Let g(c) = -4*i(c) - 11*p(c). Let d(v) = 17*v**2 - 41*v**2 + 25*v**2. Calculate g(d(n)).\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 17*s**2 - 22*s - 103. What is u(-15)?\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28682.4742 - 28685. Round s to 2 dps.\nAnswer: -2.53","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39 + 7 - (-13 - (-27 + 9))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/9 + 500*i\/9 - 31250\/9.\nAnswer: -2*(i - 125)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*p - 1 = 2*k, -3*k + 3*p + 6 = 0. Solve -3*q + k = -2*o, 19 = -4*o + 2*q - q for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140898 is divided by 5216?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eejjjej. What is prob of sequence jj?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n - 18 + 18)*(-3 - 1 + 2)*(0 - 2*n + 0) as t*n + j*n**2 + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 5*s, -2*j - 2 = -6*j + 3*s. Suppose -4*c + 76 = -x - 12, -c = j*x + 167. Let n = -84 - x. Solve n = 2*k + k + 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48743 take away 216560?\nAnswer: -265303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1344 a factor of 51768192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/(-48)*(-1)\/(6\/4).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12844 - -12868. Solve 8714*r = 8718*r + s for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53 - 49 - 45 - 89 - 39 + 8*f**3 + 275.\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -692*a + 692*a - 29*a**3 - 6*a**2.\nAnswer: -29*a**3 - 6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -233926525, -233926537, -233926557, -233926585, -233926621, -233926665?\nAnswer: -233926717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96 and 26428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 7.7. Let r = -0.0689 + -4.9311. What is the nearest to -2 in -2\/21, b, r?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 v when two letters picked without replacement from {g: 2, z: 3, u: 2, p: 2, v: 2, c: 4}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**3 - 22*t**2 - 13*t + 26. Let c(p) = -p**3 - 11*p**2 - 7*p + 13. Let x(g) = 5*c(g) - 2*r(g). What are the prime factors of x(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/sqrt(2))\/sqrt(12) + sqrt(500)*2 + sqrt(500).\nAnswer: 31*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 2, -2, -6, -106 in decreasing order.\nAnswer: 3, 2, -2, -3, -6, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 5*r + 106. Let q be m(-13). What is the remainder when 20 is divided by -2 + 16 - 287\/q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2982385?\nAnswer: 5, 7, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - c465?\nAnswer: -c460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1095 divided by 15?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((-54)\/45)\/(-6))\/((-17547)\/(-30)). Which is bigger: -2\/7 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.235 - -3?\nAnswer: -0.235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 74*l**5 - 1448*l**4 + 728*l**3 - 310484475*l**2 wrt l.\nAnswer: 4440*l**2 - 34752*l + 4368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -563*g - 1104 + 729*g + 2052*g + 1104 in the form m + n*g and give n.\nAnswer: 2218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -105 - -109. Calculate the highest common divisor of 22 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**2\/3 - 14656*h - 161098752 = 0 for h.\nAnswer: -21984","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (420\/(-7560))\/(3\/40)*(-36)\/(-30).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1)\/y**(1\/4))**42*(y*y**(-2\/5))\/(y*y*(y*y**(-1\/9)*y)\/y)*y**5\/(y**(-5)*y) assuming y is positive.\nAnswer: y**(-4121\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000261675 rounded to 5 decimal places?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/68*(-4386)\/(-129) + 62 + 0.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3383 (base 12) to base 4.\nAnswer: -1121103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 1 - 4)*(l - 13*l - 9*l)*(5 - 4 - 4) to d + u*l and give u.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 1:34 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51933769?\nAnswer: 823, 63103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/(-180)*2\/39. Let i = 67211\/14040 - k. Suppose 2*t + 4*j - 38 = 46, 194 = 5*t + 2*j. What is the common denominator of i and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**2)**30)**(-30)\/((s**(-2\/7))**(-27))**(13\/6) assuming s is positive.\nAnswer: s**(6183\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 58097.51 litres?\nAnswer: 58097510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, 33, 3, -29?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-2\/3)*h)**(-50)*h**(-7)*h*h**(-1\/2) assuming h is positive.\nAnswer: h**(-439\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3355, 6720, 10085, 13450, 16815, 20180?\nAnswer: 23545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*n - 30*n - 5 + 2*n**2 - 2*n**2 + 15*n + 5*n**4 + 2*n**3 in the form o*n**4 + a*n**2 + s*n + h + g*n**3 and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -384*h + 85. Suppose -3*s - 42 = 4*n, 0*n = 3*n. Is a(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 117 (base 9) to base 11\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0, -1, -4 in decreasing order.\nAnswer: 0, -1, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 - 33. Put f, 7\/5, -5 in decreasing order.\nAnswer: 7\/5, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60565482329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -861.\nAnswer: -4305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 0*f**2 + f**2 + 2333 - 39*f - 2*f - 8*f - 2285 = 0.\nAnswer: 1, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 2 = t, -16 = 12*t - 16*t for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7510.199s in nanoseconds?\nAnswer: 7510199000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 5301.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -10 - ((-2)\/(-6) + 962\/(-78)). Let u = -7 + 6.7. Let r = u + 0. Which is the closest to q? (a) 0.2 (b) -3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/9 in -14, 85, -6\/11, -5\/7?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14332400 rounded to the nearest one hundred thousand?\nAnswer: 14300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1167491 or 1167486?\nAnswer: 1167486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (173 + -168)\/(1\/(-2))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1140870630 to the nearest integer?\nAnswer: 1045","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*x = -6, 2*p - 3*x + 10 = -3*p. Find the common denominator of 71\/8 and ((-79)\/(-6))\/(1 + p).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of 25\/2*v**6 - 97 - 85*v**2 - 77*v**5 + 75*v**3 + 295\/4*v**4 - 40*v. Let p(k) = 0. What is k?\nAnswer: -2\/3, -1\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**2 + 80*g. Let o(v) = -5*v**2 - 199*v - 1. Give 5*o(f) + 12*u(f).\nAnswer: -f**2 - 35*f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from kssskkkkkskssssksk?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1438 - -2326. Let f = -350 + u. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/291 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 787 divide 1360391260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 13 = 5*p. Let n = -6.2 - -1.2. Which is the second biggest value? (a) n (b) p (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/6 and 97\/19098960.\nAnswer: 19098960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, -13, 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, d: 5, x: 3, a: 2}. What is prob of picking 1 x, 1 d, and 1 s?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, s: 1, l: 5, v: 1, m: 1}. What is prob of sequence hms?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -392\/1295335 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 9 - 3 = -j, 0 = -2*j + 8. Let z be y + 1 + 0 + 4. Let q be (z\/(-4))\/(69\/(-184)). Solve -1 = q*l - l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3*o + 20 = 4*q, o = -q. Sort q, -12, -5, 6 in decreasing order.\nAnswer: 6, q, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3877 + 176?\nAnswer: -3701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1103363664 - -1103363604.0000029. Let x = -1808 + 1868. Let h = x + a. Round h to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**5\/7 + 85228*r**4\/7 + 6638656*r**3\/7 + 129309284*r**2\/7 - 6638658*r\/7 - 129394512\/7 = 0 for r.\nAnswer: -42536, -39, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 7*j**2 + 6*j - 4. Let g be i(5). Is (-14)\/7 - (-1 + g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1103 + -1103. Solve v + l - 7 = h, 2*v + 2*l + 4 = 6*l for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28224587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p. Let t(w) = 2*w. Let q(r) = 5*t(r) - 6*z(r). Let j be q(-1). Suppose -7 = 3*n + j. Put -1, n, 2 in descending order.\nAnswer: 2, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -171.36562365 and 0.4.\nAnswer: -170.96562365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in 23, -1, -5, 2\/17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 + -40. Solve -x = -s + 4*x + 27, h = s - 3*x - 17 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -12019.557 and -14.\nAnswer: -12033.557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2 - 9325*o + 9320.\nAnswer: 5*(o - 1864)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/3)*i)**2*i**(-4\/5)\/(i*i**(-1\/6)*i))\/(i**0\/(i*i\/i**(4\/7)))**(-13\/4) assuming i is positive.\nAnswer: i**(-138\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 666 divided by 3\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 204388861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d - 1. Suppose 5 - 3 = a. Let v be (-1)\/a*24\/4. Let x(f) = 2*f + 3. Let t(s) = v*o(s) - x(s). Let g(u) = -2*u. Give g(t(y)).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3 = 0, 4*u + 2*s - 492 = 58. Suppose 5*j = 4*x - 187, -2*j - 56 = -2*x + 40. Calculate the remainder when u is divided by x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifty-three fifths of a millennium?\nAnswer: 1060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 3 + 10 + -28?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 2:44 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -74, -110, -206, -392, -698?\n\"Answer: -5*k**3 - k - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -85543018 greater than -85543023?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -v - 8, 0 = -105576*w + 105573*w - 3*v - 12 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-63)\/39*5)\/(726\/484)\nAnswer: -70\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -b**8\/840 + 2*b**7\/525 - b**5\/75 + b**4\/60 - 29*b**2. Determine j, given that m(j) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6323 + 0.1.\nAnswer: 0.7323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 583?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 5\/4. Let s = -3 - 9. Let m = s + 11.9. What is the smallest value in -5, x, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 6*p - 5 + 0*p**4 + 0*p**3 + 0*p**5 + 75\/2*p**2 - 199\/30*p**6. Find the first derivative of t(g) wrt g.\nAnswer: -796*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 221*i - 236. Determine l(3).\nAnswer: 427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -366859, -124, -1, 2, 5 in ascending order.\nAnswer: -366859, -124, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -119377499.115 - 0.1\nAnswer: -119377499.215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4814*p - 666134 = 12667*p - 54299 for p.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*t = 58 - 28. Suppose -3*u - 7 + 26 = m, u = 2*m - 3. Solve -t + u = -2*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**3 + 6*o**2 + 7*o - 5. Let b(k) = k**2 - k + 1. Let l(p) = 7*p**2 - 5*p + 5. Let w(i) = -6*b(i) + l(i). Calculate s(f) - 6*w(f).\nAnswer: -2*f**3 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 - -2441264.\nAnswer: 2441264.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/62345 and -52\/111.\nAnswer: 187035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 4 = -4*m. Suppose 0 = 2*u - m*u + 48. Calculate the least common multiple of u and (810\/(-20))\/(-9)*18\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 42005 = 49*s - 48*s, -3*m = -4*s - 63010. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129015040 to the power of 1\/2, to the nearest integer?\nAnswer: 11358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3579073768?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21403055 + -124?\nAnswer: -21403223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/12)\/((-1)\/(-12)*2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 8. Calculate the lowest common multiple of k and 1\/((-2)\/((-2)\/1)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r + 144 = 44*r. Solve -2*v + 3 = v - 3*g, r*v + 5*g = -14 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/((m\/m**4)\/m)))**(-1\/7)*(m*m**(-5)*m)\/(((m\/((m\/m**(2\/9))\/m)*m)\/m*m)\/m) assuming m is positive.\nAnswer: m**(-230\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of 7\/15*g**3 + 0*g + 11\/20*g**4 - 7\/25*g**5 - 3\/10*g**6 + 1 - 1\/5*g**2. Let o(z) = 0. Calculate z.\nAnswer: -1, 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0163097 to five dps.\nAnswer: -0.01631","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b**3 + 11*b**3 - 181*b + 181*b.\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kvkvkvkkkvvkvv. What is prob of sequence vvv?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 0*a + 2*a)*(4 - 1 - 5)*(0*a - 20*a - 29*a)*(-5 + 0 + 4) + 3*a - 2*a**2 - 3*a.\nAnswer: 96*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 13*d. Let c(n) = -8*n**2. Calculate i(c(x)).\nAnswer: -104*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*m**2 + 6*m**2 - 4*m**3)*(2 + m - 2) + (-m + 4*m - 4*m)*(-1 + 1 + m**3) in the form p*m**2 + g + n*m**4 + u*m**3 + b*m and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6142648 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 + -19. Determine o so that 10 + t*o**3 - 18*o**2 - 3 - 24*o + 1 = 0.\nAnswer: -1, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 465, 934, 1403, 1872, 2341?\nAnswer: 2810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 589*l**2 - 4*l + 2. Is q(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 343 (c) -3 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 73840128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + m = -210, 3 = -3*m - 3. List the prime factors of t.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*((sqrt(98) + 0)*-3 + sqrt(98)) + -3 - -4*(-1*2*sqrt(98) - (sqrt(98) + -1 + sqrt(98) + -4 - sqrt(98))))*-2)**2.\nAnswer: -17136*sqrt(2) + 128164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3116 and 0.0125?\nAnswer: 3116.0125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/4*(124108\/355)\/(-23).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 119315009 and 0.01612.\nAnswer: 119315009.01612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*o + 14 = 0. Let x = 8 - o. Is 149\/(x\/(-2 + 3)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -169*y. Let c(z) = 68*z. Let m(w) = 2*a(w) + 5*c(w). Let d(b) = -b + 216. Determine m(d(n)).\nAnswer: -2*n + 432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 819, -16, -2 in ascending order.\nAnswer: -16, -2, 819","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 674 is divided by 67.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 q, and 1 t when three letters picked without replacement from {q: 10, l: 4, t: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*h + 92 = 22*h - 158. Sort -4, 11, 0, h in descending order.\nAnswer: 11, 0, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f**2 - 4*f - 10. Let h be q(-7). Let z(k) = -280*k**2 + 9238*k + 63. Let t be z(33). Which is the nearest to -0.2? (a) 0 (b) t (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33716.983623 + 33717. What is g rounded to three dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 653995 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2202021 - 1011211?\nAnswer: -10221002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4425*j**3 + j**2 - 108*j - 4 wrt j?\nAnswer: -26550*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/78 - 0)\/(23\/138)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -166*x + 26. What is d(2)?\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - 7*c - 9. Let j be m(9). Suppose 3*z = 21 - j. Suppose -h - 7*y = -2*y - 21, 5*h - 18 = z*y. Solve q = 2 - h for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.05 + -0.05. Let h = 2235 + -2237. Which is the smallest value? (a) h (b) l (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/6*(3 - 7) - (-21022)\/(-2742).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ecscsilleeclloesse. What is prob of picking 2 s?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67165261 is divided by 138?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 651041969 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: What is the closest to -1 in 0.05, -5, 21, 0.022, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of 0*r - 1\/30*r**5 + 0*r**3 - 1\/4*r**6 + 0 + 3*r**2 + 0*r**4. Find the third derivative of b(a) wrt a.\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*z - 51*z + 517875. Suppose -19*u + z = 1085. List the prime factors of u.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.12*304.6.\nAnswer: -36.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2322013 (base 4) to base 9\nAnswer: 17304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 + -19. Let q = d + 23. Does 17 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o = o - 12 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v + 14. Let w be r(-1). Solve h - w = -h - 4*t, 3*t = h + 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130903*x + 306 = 131001*x - 380 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 11 + 2096*q**2 + 24 + 1872*q**2.\nAnswer: 3968*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 181885516?\nAnswer: -181885516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -41 - 38\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + (-3 - (17 - -7))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1466374 from 512.\nAnswer: -1465862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -10*m**3 + 8*m**2 - 188*m + 1105. What is q(6)?\nAnswer: -1895","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let a be (-15)\/(-25) + (-37)\/(-5). Suppose 0 = -l - 2*l - 3*y - 9, -2*l - a = 4*y. What is the units digit of l\/8 + (-205)\/(-20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -310911 (base 10) in base 11?\nAnswer: -1a2657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 832 and 640.\nAnswer: 8320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -24411 (base 6) to base 10\nAnswer: -3607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 29*b + 28*b = -122, 2*g = 2*b + 116. Let l(q) = -2*q**3 + 3*q**2 + q. Let k be l(-5). Calculate the greatest common factor of k and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 655853210?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -a. Let z be (11\/(-4))\/(4\/16). Let f = -6 - z. Sort a, f, 2 in increasing order.\nAnswer: a, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96 + 689216398.\nAnswer: 689216302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from {y: 3, f: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14*(100\/(-8))\/(-5). Suppose 0 = -3*c + q + 37. Let s = -12 + c. Does 4 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/27*(-6)\/(-8)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bw when two letters picked without replacement from kwpbbrpbkwbrkk.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 973?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(3*-8) - (-23547)\/18. Suppose -2*a - 4*h - 84 + d = 0, -3*a + 1858 = -5*h. What are the prime factors of a?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 20*r**3 - 2*r**2 - 5*r. Let u(a) = -19*a**3 + 3*a**2 + 6*a. Give 3*i(g) + 2*u(g).\nAnswer: 22*g**3 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 5*a - 1 + 2.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 12:13 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7556 or -7557?\nAnswer: -7557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 4*a - 10 = 0, -a - 290 = 4*x - 265 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/122831 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n. Let i(v) = -9*v. Let t(d) = 16*d. Let p(x) = -7*i(x) - 3*t(x). Calculate r(p(f)).\nAnswer: 45*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2369*y**3 - 2371*y**3 + 33*y + 23*y - 1 as g*y**2 + z*y + k*y**3 + o and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 4*u + u**2 + 3 - 3*u**2 + 4*u**2. Let m be t(3). Let l = 4 + m. Is l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h - 2. Let k(q) = 4*q**2 + 10*q + 48. What is 3*j(n) + k(n)?\nAnswer: 4*n**2 + 7*n + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = -f + 487. Is f a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) -3\/13 (c) 1\/5 (d) -127 (e) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**2 + 173994 - 173994.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-5\/4)*k**18 assuming k is positive.\nAnswer: k**(67\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g = -2*q + 25*g - 6, 0 = 3*g - 6. Let i be 11\/1 + 2*(q + -3). Solve -53*t = -58*t + i for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - o - 4)*((-3*o + 3*o + 5*o)*(0*o + 5*o**2 + 0*o) + 0*o**3 - o**3 + 3*o**3) to the form d*o + z + s*o**3 + t*o**2 + y*o**4 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p**2 - 14*p - 2. Give i(6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6318*i - 6838*i - 15600 for i.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 239406 to the power of 1\/2, to the nearest integer?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 15 + 3. Let q be (2\/(-3))\/(v\/(-18)). Solve 5*p = q*s + 32, 5*s + 27 = 5*p - 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.7 and -0.2383289.\nAnswer: -0.64348803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1847142?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 157*q - 179*q. Solve 29 = 5*d - 5*m + 6*m, 2 = 2*d - q*m for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-18) + -4 + (-1771)\/(-495).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**2 - 425 + 108 + 317.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -120132303 (base 4) to base 6\nAnswer: -2052123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than 2.20831198861393?\nAnswer: 4.20831198861393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -3*m + 3*f, -2 + 8 = -3*f. Let z = -8 - m. Suppose l - z*l + 508 = 0. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence evv when three letters picked without replacement from veeeveve?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -42*o. Let f(r) = -413707*r. Calculate v(f(s)).\nAnswer: 17375694*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -240.4 - -240. Which is the nearest to 1\/5? (a) t (b) -3 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1678, 1871, 2428, 3535, 5378?\n\"Answer: 31*n**3 - 4*n**2 - 12*n + 1663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 220519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (6\/80)\/((-144)\/7392) and -27\/2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15862165141 less than -5.5?\nAnswer: 15862165135.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 179, -4 in ascending order.\nAnswer: -4, 2, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t - 792 - 2*t - 6*t**3 + 791.\nAnswer: -6*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*1*-1*78\/(-26)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -750125 divided by 30005\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 31*b**3 + 14*b**3 + 4.\nAnswer: 45*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of 4*g**5\/15 - 13*g**4\/6 + 2*g**3 + 40*g**2\/3 + 32*g\/3 + 128. Solve s(h) = 0.\nAnswer: -1, -1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 7*d = 54. Let l = -10 + d. Solve -4*j = -5*w - 1 - l, 4*w - 3*j = -8 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16974 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (90\/(-105))\/((-6)\/(-28)) - 2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 238260?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 52*o**2*q**2 - 943*o**2*q - 69718*q**2 + 2*q wrt o.\nAnswer: 104*o*q**2 - 1886*o*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63 (base 9) to base 2.\nAnswer: 111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 5*a**3 - 110515*a**2 + 593245640*a + 194012503620 = 0.\nAnswer: -309, 11206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-131)\/262)\/(((-2)\/(-12))\/(1\/15))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343)\/sqrt(28))\/(sqrt(224)\/sqrt(8) - sqrt(7)) + -4.\nAnswer: -4 + sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -48.14 + 48. Let t = 0.04 + r. What is the closest to t in -4, 1\/8, -0.4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -124*s**3 + 2196*s**2 + 6*s + 6. Let f(r) = -123*r**3 + 2195*r**2 + 5*r + 5. Let u(y) = -5*c(y) + 6*f(y). Find the third derivative of u(k) wrt k.\nAnswer: -708","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**18*p**(-25)*p)\/(p\/(p*p*p\/((p*p*p*(p\/((p\/(p\/((p\/p**(-2))\/p)*p)*p)\/p))\/p*p)\/p)))**(2\/95) assuming p is positive.\nAnswer: p**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/(r\/(r*r**(31\/4))))\/r)\/r)\/r)**22 assuming r is positive.\nAnswer: r**(253\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2989 (base 12) to base 10.\nAnswer: -4857","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-10)\/(-4))\/(1\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -127 + 85. Let w = -6 - g. Is w a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(((i*i**3)\/i)\/i*i)*i*(i**(-4)*i)\/i*(((i*i\/(i\/i**(-2\/5)))\/i)\/i*i)**(-30\/11) assuming i is positive.\nAnswer: i**(-43\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -1 + 16 + (3 - 19)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -73662 (base 10) to base 3.\nAnswer: -10202001020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from wcclcuccuuwcl.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of -162*j**6\/5 + 985*j**4\/6 + 10*j - 94. Find the third derivative of h(i) wrt i.\nAnswer: -23328*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 6 - (-40)\/22\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60 - -87. Let f be (-5)\/(-1)*(-15)\/5. Let o = f + s. Solve 3*x + 0*x - o = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17401\/4 - 4350. Let v = 0.03 + -0.43. Which is the nearest to -3? (a) v (b) z (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5731*p + 6873*p - 23218*p)*(2 + 0 + 0 + (4 - 4 - 1)*(-5 + 0 + 3)) as x + t*p and give t.\nAnswer: -42456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 6*v**2 + 6*v + 5. Let x be 0 + (-7 - (-9)\/(-3)). Let m be 1\/((-3 - -5)\/x). Give z(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13048 or -13040?\nAnswer: -13040","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/3313?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -206 (base 10) to base 5.\nAnswer: -1311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1070.5, 7816, -5 in descending order.\nAnswer: 7816, -5, -1070.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pmmwlmgm. Give prob of picking 1 g and 1 m.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184\/7 - (-2)\/(-7)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (80\/96 + (-31)\/(-186))*4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*15\/20)\/((-5)\/10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 4*r**2 + 121596*r + 4614872 = 0.\nAnswer: -30361, -38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k - 5. Let p be 2\/(1\/2*-2). What is the smallest common multiple of a(-11) and (-3 - -15) + (p - 0)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**3 - 7*k**2 + 53. What are the prime factors of j(-6)?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39.5 - 37.5. Sort 47, s, -1 in descending order.\nAnswer: 47, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 t when three letters picked without replacement from xuuxxuxxtxuuuxtu?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-7))\/((-8)\/28)*(-19)\/(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 5*f + 3*w - 2760, 0 = -3*w - 3. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h**2 - 5*h - 9. Let u(z) = 4*z**2 + 8*z + 14. Calculate 7*f(c) + 5*u(c).\nAnswer: -c**2 + 5*c + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1099588?\nAnswer: 2, 7, 173, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 24 = 12*i, -27*u + 20 = -31*u - 4*i for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 6*o + 36 = 0. Suppose 0 = o*q + 23 - 65. Suppose 3*i - l - 14 = 0, -2*i - l - 3*l + q = 0. Let p(y) = -y**3 + 5*y**2 + y + 3. Determine p(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5114*s**2 - 42*s + 1808626 wrt s.\nAnswer: -10228*s - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 7*p**2 - 3*p + 9. Let o = 17 - 10. Let f(l) = l**2 - 10*l + 11. Let g be f(8). Let r(c) = 2 + 10*c**2 + 11 - 2*c - 2*c. Calculate g*r(j) + o*h(j).\nAnswer: -j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/98 and 43\/104062.\nAnswer: 728434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 188318?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6188762?\nAnswer: 2, 619, 4999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 333 a factor of 239521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00020338 rounded to six dps?\nAnswer: 0.000203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17462748?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11242 equal to 595881\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 40530 (base 8) to base 14\nAnswer: 614c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.1, 2, -2\/3, -1\/20?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 239*a - 15. Let p be h(-81). What is the greatest common divisor of p and 330?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 2*n**2 + n + 22. Let o be d(0). Calculate the greatest common divisor of 198 and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/28386 and -23\/504640.\nAnswer: 4541760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5 = -13. Suppose x*r + 8 + 8 = 0. Put r, 0, -3 in increasing order.\nAnswer: r, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**2\/4 + 1196657*q\/4 - 1196661 = 0.\nAnswer: -1196661, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 2281.93 to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o\/o**(-3)))**(3\/7) assuming o is positive.\nAnswer: o**(-6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 + 1)*(-7 - 6 - 7)*(0*q + 3*q + 0*q).\nAnswer: -300*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2237 - 2208. Let m(c) = 42*c - 7. Let f be m(5). What is the highest common factor of l and f?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30.236 + 25.91. What is v rounded to 1 decimal place?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**10*r*r)**(16\/9)\/(r\/(r**(-33)*r)*r**(2\/17)) assuming r is positive.\nAnswer: r**(-601\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 220 and 198?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -5162200 to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12049 - 2*j**2 + 2746*j - 2746*j.\nAnswer: -2*j**2 + 12049","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 303 by -1.\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 17\/9*z**2 + 35\/9*z**4 + 1\/3*z**6 + 4\/9*z + 104\/27*z**3 + 18 + 28\/15*z**5. Determine x, given that a(x) = 0.\nAnswer: -2, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1162, 2063, 2960, 3853, 4742?\nAnswer: 5627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of f**6\/40 + 2*f**5\/105 - f**4\/42 - 2*f**2. What is q in v(q) = 0?\nAnswer: -2\/3, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 10:30 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233076 is divided by 876.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f = -3*l + 234, 3*f - 34*l + 131 = -19*l - 17*l for f.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -4. Let n be m\/(20\/(-8)) - -114. Calculate the greatest common factor of 14 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**2 - 4*d**2 - 2*d**2)*(-2 - 24 + 52).\nAnswer: -52*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*v + 65 + 20 = -14. Which is smaller: -1\/7681 or v?\nAnswer: -1\/7681","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2*o = 605, s + o - 121 = -2*o. What is s rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10012238.\nAnswer: 2, 5006119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -22b26 (base 12) to base 5\nAnswer: -2442132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3546 - 3539 - 107*w**2 - 89*w**2 - 8*w**2.\nAnswer: -204*w**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 16 + 13 - d**2 - 20*d - 29 - 27*d = 0. What is d?\nAnswer: -47, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -4*h - 9. Let o be v(-3). Suppose -3*k + 562 = -q, 0 = -o*q - 0*q + 6. Suppose -l = 2*m - k, -4*l - 194 = 3*m - 486. List the prime factors of m.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 4*y + 125. Let v(i) = -812*i. Determine v(h(x)).\nAnswer: -3248*x - 101500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 24749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -35, -33, -27, -17?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y - 5*p - 90 = -4*y, 5*y = -p - 150. Let t(z) = z**3 + 33*z**2 + 84*z - 3. Calculate the smallest common multiple of 3 and t(y).\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**33\/q**(-8\/7) assuming q is positive.\nAnswer: q**(239\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/10 - (1 - 57\/90)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 111101011 (base 2) to base 10\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2*f + 18, -3*c - 7*f - 44 = -3*f. Let o be ((-9)\/(-6))\/(6\/c). What is the remainder when 1 is divided by (1\/2)\/((-1)\/o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2038, 8129, 18280, 32497, 50786, 73153, 99604?\nAnswer: 130145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 25*w - 1. Let n(z) = z. Calculate n(b(v)).\nAnswer: 25*v - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-19) + -9*8\/36.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 10) to base 9\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -11*d - 52. What is j(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/6)\/((-1)\/(-21)). Suppose 10*i - 5*i = 2*r - 118, i = -4. Let u be g\/r - (-37)\/7. Solve -2*o = -u*o + 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 9\/5*q**2 - 1\/5*q**3 - 4*q + 12\/5 = 0.\nAnswer: 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.022, -5, -47, 5 in descending order.\nAnswer: 5, -0.022, -5, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 798315803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -362 + 360. What is the third biggest value in -0.8, n, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**2 + 50*l - 78. Let q be x(20). Let z = 133 - q. What is the lowest common multiple of 37 and z?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 980321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (4 + -2 + 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 3*v - 56 = 0, -j - 4*v + 7*v + 4 = 0. Suppose j = 5*o - 0*o. Factor -3\/4*i + i**3 - 1\/4 + 0*i**o.\nAnswer: (i - 1)*(2*i + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -0.5 (c) 23 (d) 7 (e) -46\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219068 is divided by 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2429, -19391, -65393, -154943, -302549, -522719, -829961?\nAnswer: -1238783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 34 = 2*t, -4*t + 0*y - y = -77. Solve 4*c = -0*c - t for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4308992 is divided by 430893?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 d, and 1 u when four letters picked without replacement from cucqqcxdcucq.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*m - 30 = m, 0 = -2*z - 3*m - 27. Let y = 14 + z. Let o = 3 + -3.1. What is the nearest to o in 2, -0.4, y?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 80 + -71 + (-7 - 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 371848 and 424?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 285 in 1, -4\/7, 0.026?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k + 8. Calculate b(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 29\/5 of a decade?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5.71 and -0.035.\nAnswer: 5.675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*y = -29 + 44 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -21\/31?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - ((-10 - 0) + (-351 - -57)\/(-42)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 39904?\nAnswer: -398ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 30809746770 to the nearest 1000000.\nAnswer: 30810000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2062.\nAnswer: 2, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/(-6) - -8)*2*3\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 1 + 19 = -5*s, 29120*s - 4*d = 29125*s + 17 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2536*d - 789*d - 953*d - 793*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 12:41 PM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13415310*p + 36836353?\nAnswer: 13415310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -11. Are j and 4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 624*r - 20088 = 618*r. What are the prime factors of r?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2835446 is divided by 7705.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 737 take away -44025608788?\nAnswer: 44025609525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128184754 is divided by 82?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (17 - (0 - 12 - -16)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/3)\/((-6)\/4). Suppose n - 2*j = -5*j + 6, n - j = o. What is the third derivative of n*d**2 + 8*d**2 - 21*d**2 - d**4 + 0*d**4 wrt d?\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than -58.24?\nAnswer: -57.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*d + 19. Factor -2\/5*c**4 + 0*c**d + 0 - 1\/5*c + 2\/5*c**2 + 1\/5*c**5.\nAnswer: c*(c - 1)**3*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 13 + (-22)\/(-11) + -10. Let x = -221 - -1544\/7. What is the third smallest value in -0.5, 2\/5, s, x?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (13 + -1)*1\/(-2). Let a = 10 + s. Find the third derivative of -q**6 - 2*q**6 + 2*q**2 + a*q**6 wrt q.\nAnswer: 120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13.189 + 13.2. Let c = r - 0.411. What is the closest to 0.1 in 4, -1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-350)\/(-88) - (-19071)\/(-5868)?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 - 487*l + 20085. What is d(191)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by 31?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iuiiiiqiiqui. Give prob of sequence qiuq.\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -83 + 93. Suppose -q*s + 61 = -9*s. What is the remainder when s is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1463.\nAnswer: 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g - 119. Let z(d) = 76*d - 112. Let o be z(2). Calculate r(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3030 = 68*j - 78*j. Let t = j - -746. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.7366 - -90.2634. What is the closest to -0.3 in -7, r, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68716 is divided by 3147.\nAnswer: 2629","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4819 (base 10) to base 13\nAnswer: -2269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -5.17. Let y = v - 0.13. Which is the closest to y? (a) 2\/3 (b) -4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - c**2 - 4*c - 1. Let n be o(3). Let b be 78\/14 - (-9)\/21. Let r = 9 - b. Solve 3*j = -r*v - 16 + 1, -n*v - 5 = j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 47954916 and 61128?\nAnswer: 95909832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1347698396 rounded to 5 decimal places?\nAnswer: -0.13477","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.81 * 0.1\nAnswer: 0.081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -260 - -308 - ((-1 - -13) + -26).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1346, -2623, -3886, -5129, -6346?\n\"Answer: y**3 + y**2 - 1287*y - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 != 259\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -2316.3 to the nearest ten.\nAnswer: -2320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/1952 and -109\/813008?\nAnswer: 1626016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 323838872?\nAnswer: 2, 7, 67, 86311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*l + 15 + 33. Sort l, -3, -241 in descending order.\nAnswer: l, -3, -241","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18381521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -168.8 - -168.801362. Round l to four decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**(2\/23)*m**(-16)*m**(15\/7)*m*m\/(m**12\/m) assuming m is positive.\nAnswer: m**(-3533\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -12. Suppose -7*w + d*w = -110. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence biyv when four letters picked without replacement from {i: 1, v: 1, h: 6, y: 1, b: 3}?\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32028 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77, 70, 61, 50, 37, 22?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 688360 and 3?\nAnswer: 2065080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l**3 + 4*l**3 + 8*l**3 - 22*l**3.\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 366 - 132. Is 18 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a hour in seconds?\nAnswer: 52200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 7*h + 9. Let m be (-1 - -4)\/18 + 175\/30. What is x(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**5 + 0*a**4 + 0*a**4 + (-208 + 105 + 104 + 13*a**2 + (2*a - 5*a + 2*a)*(a + 4*a - 4*a))*(-3*a - 4*a**3 + 3*a).\nAnswer: -47*a**5 - 4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dqbcjqqdjclqq. Give prob of picking 2 q, 1 c, and 1 b.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -409 + 414. Let k(l) = -3*l**2 + 4*l - 1. Let m(z) = -1 + 12 + 5 + 9*z - 19 - 7*z**2. Determine o*k(y) - 2*m(y).\nAnswer: -y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 615, 619, 625, 633?\nAnswer: 643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z**2 - 18*z - 4. Let g be k(6). Calculate the remainder when (476\/(-70))\/(g\/10) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/12*(-92)\/161?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + k - 131 = -4*m, -2*m = -2*k - 76. Let o(l) = -12*l**2 - 17*l + 1829. What is the least common multiple of m and o(-13)?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1 + ((-5 + 3*sqrt(448) - sqrt(448)) + sqrt(448))*2 + 2 + sqrt(448) + -5 + sqrt(448) + sqrt(448)*3 + sqrt(448)))**2.\nAnswer: -96768*sqrt(7) + 2329488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 275\/2 + -140. Let r = -134.2 - -146. Let k = 12.1 - r. What is the third smallest value in k, 3, i, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-5)\/(-20)*(-20)\/(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nr when two letters picked without replacement from frnhfnn.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0134848 rounded to three decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -1\/4 (c) 2\/15 (d) -1\/3 (e) -111\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89, -636, -2101, -4940, -9609, -16564, -26261, -39156?\nAnswer: -55705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131185138?\nAnswer: 2, 7, 71, 271, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1574.7246 rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1922201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 119239+-0.19911947\nAnswer: 119238.80088053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-3 - (2 - 8)) + 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1814 + 1813.9. What is the closest to 0.1 in 364, -0.5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/56*560\/(-40).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94586005?\nAnswer: 5, 23, 281, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 5*d**3 - 560*d**2 - 4800*d = 0.\nAnswer: -8, 0, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 301 and 17458.\nAnswer: 17458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3548)\/(-16) + (-16)\/(-64) is divided by 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13693 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -0.006?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2 + 165878*k - 6878877721.\nAnswer: -(k - 82939)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s*s**1)))**(-2\/103)\/(s**(5\/3)*s*s**(2\/5)) assuming s is positive.\nAnswer: s**(-4798\/1545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 41402313 and 594.88.\nAnswer: 41402907.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 5. Let q(w) = -w**2 + 2. Let m(c) = 2*j(c) - 5*q(c). Let i(s) = -3553*s. Calculate m(i(r)).\nAnswer: 37871427*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4*m - 13 - 3 = 0, 11 = -2*r + 5*m. Suppose -r*h - 2*z + 1 = -9, 25 = 2*h - z. Is 8\/20*h*4 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 30 and 2.36.\nAnswer: 70.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -111 * 19.\nAnswer: -2109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 0 + 8*r - r**2 + 10*r + 11 + 0*r. Suppose -65 = 2*i - 99. Let n be w(i). What is the greatest common divisor of n and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*p**2 - p**2 - 13*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(284\/56 + -5). Let n = f - -56. What is the highest common factor of 105 and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**5)**(2\/13)*x*x**(-2\/15)*x**(12\/5) assuming x is positive.\nAnswer: x**(787\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9032040473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) + 0 + sqrt(50) + -1 + (2*sqrt(128) + sqrt(2))*-3)**2.\nAnswer: 82*sqrt(2) + 3363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + z**2 - 3. Determine b(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-75)*(-200)\/10. Sort 2\/7, -0.3, q, 1 in descending order.\nAnswer: 1, 2\/7, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.14 - 0.1. Let b = 8197078\/105 - 78066. Let a = -19\/15 + b. Sort -3, a, l in descending order.\nAnswer: a, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -254155?\nAnswer: 254162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x + 9. Let b(z) = -z - 4. Let c(l) = 9*b(l) + 4*y(l). Let d(t) = 4*t**2. What is c(d(j))?\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3736451 + 6*y**2 + 3736451 + 15*y**2.\nAnswer: 21*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35001035 - 0?\nAnswer: 35001035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 46562 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-14)\/(3\/(0 + -1) - 9\/(-9)). Put c, 2\/11, 3\/7, 0.2 in descending order.\nAnswer: c, 3\/7, 0.2, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -10 - 2. Let d be s\/27 + 43\/(-9). Let x(i) = i + 4. Let z be x(d). What is the nearest to z in -0.3, 4, 3\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u\/(u**(-19)\/u)*u**(-14)*(u**42*u)\/(((u*u**(11\/4))\/u)\/u) assuming u is positive.\nAnswer: u**(197\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -8*j**2 - 13*j - 39. Let v(h) = -11*h - 9. Suppose -38 = 4*a + 2*l, -3*a - 13 = -4*a + 4*l. What is a*v(b) + 5*i(b)?\nAnswer: -3*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*1*(10 - 15). What is the third derivative of -6*h**m - 5*h**2 - 3*h + 13*h**2 + 3*h wrt h?\nAnswer: -360*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*d - 4*d - d)*(5*d + 596 - 603 + 2*d) + (-1 + 1 + d**2)*(17 + 1 + 32) as b*d**2 + l*d + i and give b.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 10:14 PM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/9 and 89\/664.\nAnswer: 5976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/(-756)*-343)\/(21\/48)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*k + 205*k + 8474 + 4513 = -16*k for k.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39\/8*z**3 + 0 + 0*z + 3\/8*z**4 + 0*z**2 = 0 for z.\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 5*p - 29277 = -112698, 4*p = m - 27773. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of f**3\/2 + 20*f. Let w(y) = 2*y + 21. Let k be w(6). Let p(m) = k*m - 8*m**2 - 33*m. Calculate p(i(b)).\nAnswer: -72*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*l - 35*l - 26292. What is the greatest common divisor of 112 and l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 481 and 0.3.\nAnswer: 144.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -23339, -23321, -23291, -23237, -23147?\n\"Answer: 2*m**3 - 6*m**2 + 22*m - 23357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1372 a factor of 16300732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*3\/(-2)*(-2996)\/(-1284)*158\/(-14).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 4*j**5\/7 + 132*j**4\/7 - 70348*j**3\/7 + 139996*j**2\/7 + 70344*j\/7 - 140128\/7 = 0?\nAnswer: -151, -1, 1, 2, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/3)\/l)**20\/((l\/(l*l**1))\/(l\/l**(1\/6)))*((l**1\/l)\/l**(3\/4))**(3\/11) assuming l is positive.\nAnswer: l**(-3305\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(3*(-3)\/(-18)*4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ellllewewpe. Give prob of picking 2 w.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of 3*k**5\/35 + 3*k**4\/28 - 3. Determine y, given that l(y) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 21*(-5)\/(-75)*5 - 0. Suppose o*t = 5*t - 5*t. Solve -5*l = -2*v - 16, -l = -t*v + v - 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -m**5\/60 + 4*m**2. Let s(t) = -5*t**2 + 5*t + 1. Let o(b) = s(b) - 4*z(b). Let u be ((-13)\/52)\/(2\/(-40)). Give o(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*2*sqrt(130))\/(-4*3*sqrt(10)))**2*-6.\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6564 by 4.\nAnswer: 1641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/4926286 or 1?\nAnswer: -3\/4926286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 984aa - -4?\nAnswer: 984ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -13. Let n = -192 + 201. Solve 3*p + c = n for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, -1589, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 240 and 4?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 7 + 35*b - 2 - 6. Let u be w(2). Let i = u - 35. List the prime factors of i.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 36*x**2 - 34*x - 27. Let n be k(35). Suppose -4*c + h + 57 = 0, -2*c - 3*h + 69 = 2*c. Solve -n*p - c - 1 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2*m = 16, 2*o - 5*m = -17 - 2. Let c be (-36)\/(-21) + o\/(-7). Find the first derivative of r**2 - 3 + 4 + c wrt r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of 23*a**5\/30 + 7*a**4\/8 + 2*a**3 - 3*a**2 - 43*a. Let k(b) be the first derivative of d(b). Is k(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-2))\/(3*(-5)\/60)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(156)\/sqrt(4) - sqrt(39)) + sqrt(39))\/sqrt(3) + 3)*3.\nAnswer: 9 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and 27.897?\nAnswer: 26.897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 4. Let o(p) = 1. Suppose 3 = -d - 5*c + 31, 5*c - 22 = d. Let i(v) = -3 - 1 + 5 + v. Determine d*o(r) + f*i(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-5)*(-5)\/(-3))\/(23\/((-2944)\/768))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.9 + -36.1. Let d = n - -43. What is the third biggest value in 0.1, -4, d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1401 + -11233\/8. What is the common denominator of 43\/1298 and p?\nAnswer: 5192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -193*l**3 + 72*l**3 + 109*l**2 + 58*l**3 + 61*l**3.\nAnswer: -2*l**3 + 109*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - 1)\/9 + 335\/15. Solve -6 = h*z - 20*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-18)*(-237)\/158\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n - 22. Let m be i(37). Calculate the remainder when 42 is divided by (36\/m)\/((-21)\/(-140)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 215 + -140. Let x(v) = -2*v**3 - 5*v**2 - 2*v - 2. Let j be x(-2). Let n be (-82500015)\/a + j\/(-10). Round n to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 3774174946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0353 + -0.2353. Which is the third smallest value? (a) -2 (b) u (c) 2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = m. Let h(j) = -4*j**3 - 30*j + 28*j + 3*j**2 + 10 - 3. Let s(b) = -5*b**3 + 4*b**2 - 3*b + 7. Let f(k) = -4*h(k) + 3*s(k). Calculate f(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence de when two letters picked without replacement from {d: 6, e: 11, n: 2}.\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -6*u + u + 25, 2*u = -3*l + 19. Suppose b = -b - u*m + 14, 0 = b + 5*m + 9. Let n = b + 166. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*h**2 + 232*h + 12 - 12 - 320*h.\nAnswer: -63*h**2 - 88*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6821, -6851, -6939, -7115, -7409, -7851, -8471, -9299?\nAnswer: -10365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 349630371?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 1\/2, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-101 - -179) + -28 + -14?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**2 + c - 3. Calculate the smallest common multiple of s(3) and ((-10)\/11)\/((-226)\/7458).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*x - 1295728000 = -68*x. What is x rounded to the nearest 100000?\nAnswer: 14100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 84\/48 - (-2)\/8. Suppose 0 = -3*i - 4*b - 30, a*i - 3*b + 21 = -3*i. Is 21 a factor of (-376)\/i - (-5)\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -492 and -491 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**2 + 15*m + 32. Let b be a(8). Suppose 10 = 2*n - 2*j, -2*j + j - 13 = -5*n. Suppose 6 = n*p - 2. Solve 2 + 18 = -d + p*x, 4*x = 2*d + b for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 26 + -9 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2981?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -623 - -625. Which is bigger: g or -11.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + d0?\nAnswer: cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176 = -74*c + 465 - 1085 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -u**6\/120 + 7*u**5\/60 + u**4\/8 + 5*u**3\/2 - 4*u**2 + 5*u. Does 3 divide p(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 2*l + 3. Let y be p(0). Let s(v) = -2*v**y - v + 46 + 3*v**3 - 30. Determine s(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*p + 4893 - 14723. What are the prime factors of p?\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 5909, -30?\nAnswer: 5909","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, y: 5, s: 3, a: 1}. What is prob of sequence asst?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 109, -54, -503, -1382, -2835, -5006?\n\"Answer: -24*z**3 + z**2 + 2*z + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (272\/(-12))\/(((-1584)\/(-108))\/(-22)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -3. Suppose 3*x - 3*a = -4*a + 49, 3*x + 5*a = 29. Suppose -77 = x*m + 13. Put -1, m, 5, u in descending order.\nAnswer: 5, -1, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1175616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.4 and 60284196965?\nAnswer: 60284196966.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 5*j + 1. Let g be w(-8). Suppose -5*h + 0*h = -g. Let m = h - 9. 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: Calculate the remainder when 289149104 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*h + 29910 + 810 = -613*h for h.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/21 and ((-1836)\/(-205740))\/(3\/(-40)*-4).\nAnswer: 8001","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a day in seconds?\nAnswer: 75600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*l + 92*l - 215 = 0. What is the greatest common divisor of 43 and l?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 5, 0, 1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + t + 5. Let l be f(0). Solve 2*d - d - 4 = 2*o, -d = l*o + 24 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 561656611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -908\/91 - -139\/13. Let i = 118 + -117.8. Which is the nearest to i? (a) 2\/9 (b) 3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 6*f - 5. Let b(v) = -11*v + 6. Suppose 13*k = -2 + 15. Let z be b(k). Let x(r) = -12*r + 9. Calculate z*x(m) - 9*t(m).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 4*t**2 - 21*t + 5. Suppose 7 = 13*r - 12*r. Let v be z(r). Suppose v*b - 5 = 0, -141 = -3*h + 2*b - 5*b. Is 32 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 5*x**3 - 888*x**2 - 9*x - 18. Let y(q) = q**3 - 223*q**2 - 2*q - 4. Determine -2*o(a) + 9*y(a).\nAnswer: -a**3 - 231*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -4656*g + 4658*g + 17, 42 = -4*g - 2*x for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x + 0 - 1 + 3)*(x + 21 + 1 - 127) - 5*x**2 + 16 - 16 to h*x**2 + j + l*x and give j.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w**2 - 8*w + 1. Give f(-4).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50222655 = -155*l + 92*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12990395 is divided by 80?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 + 25. Let v = a - -7. What is the second biggest value in 0.1, v, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 107790438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/(27 + 1) - (-90135795)\/1358?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g - 76. Let v be k(26). Is (-88440)\/v - (0 - 6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11344 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3 + 5 + 5*(2 + sqrt(468)))**2.\nAnswer: 1080*sqrt(13) + 12026","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187031785*d**3 - 2 - 187031787*d**3 - 1.\nAnswer: -2*d**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 225595 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15)\/sqrt(5)*-6 - (0 + sqrt(3))*-5) + -2 + 4 + sqrt(192) + sqrt(192)*-2 + sqrt(192) + 2)**2.\nAnswer: -8*sqrt(3) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0328437219 to three decimal places.\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + i = 5, 5*i - 7 - 18 = -3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - a + 4)*(4*a**3 + a**3 + 0*a**3) - 4*a**2 + 4*a**2 + a**4 to the form o + r*a + v*a**2 + d*a**4 + p*a**3 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -5*u**2\/3 - 151940*u\/3 - 1154288180\/3 = 0.\nAnswer: -15194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -28*x. Let g(n) = 3*n + 2*n - 7*n. What is g(q(m))?\nAnswer: 56*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 5, 2\/3, 1\/3, 2\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 174 and 222.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 3) + -2 - -8. Suppose -39 = r + s - 171, r - c*s = 156. Calculate the greatest common factor of r and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 310 = -3*v + 1942. Let j = v - 128. Does 32 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 2*x = -100. Let j = x - 9. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a*a**(-1\/4)))*a*a)**(-39)*(a\/(((a**8*a)\/a)\/a))\/a**(-5) assuming a is positive.\nAnswer: a**(-433\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f - 2. Let d be p(-7). Solve -4*w + n + 5 = -7, 2*w - d*n = -12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/711 and 21\/5.\nAnswer: 3555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 5*m**2 - 6*m + 3. Let y be h(6). Suppose -73 = -y*z + n, 5*z - 72 = z - 5*n. Let x = 2 - -10. What is the remainder when z is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4132589157\/730 - -5661084. Let j = k + 10\/73. Find the common denominator of -42 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15\/67, -3, 3.6 in descending order.\nAnswer: 3.6, -15\/67, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1387226281?\nAnswer: 7, 29, 2311, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.069? (a) 1\/3 (b) 3 (c) -17642 (d) -2 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/136 and 67\/2?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15.69 + -9.72. Let h = 0.03 + i. Let z = 6 - h. Which is greater: z or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2545 divided by -5\nAnswer: -509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of b**6\/120 + b**5\/15 - b**4\/8 + b**3\/2 - 3*b**2. Is i(-4) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**2\/y**(-9)*y\/y**(-3\/2)*y**3 assuming y is positive.\nAnswer: y**(33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, f: 2, z: 8, m: 2}. Give prob of sequence fm.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11060 - -11092. What is the highest common factor of 296 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 27*i**2 - 6*i - 6. Determine z(-1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2369487877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 0 - 1\/6*h**4 + 0*h**3 + 2\/3*h**2 + 0*h = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*a - 25 = 0, 3*v = a - 105 + 35. Let i = 46 + v. What is the remainder when i is divided by (3 - -2)\/(-5 + 11 + -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162\/(-486)*(-135)\/3?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*c**3*d*m - 7*c**3*m**2 - 260*c**2*d*m**2 + 60*c**2*m**2 wrt d.\nAnswer: -6*c**3*m - 260*c**2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**2\/11 - 2953822*o\/11 - 8861484\/11 = 0. What is o?\nAnswer: -3, 1476914","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -14503154?\nAnswer: -14503153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -131 - -185. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -11. Let v(f) = f**3 + 9*f**2 + 5*f - 2. Let t be v(o). Suppose -2*p = a - t, -21 = -a + p + 43. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 4:32 AM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 81270 divided by -2322?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 34. Let u be (0 - 14)\/(3\/l). Suppose -4*k - 3*m + u = -57, 2*k = -5*m + 95. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5544419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29642136.\nAnswer: 2, 3, 43, 28723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18852450 is divided by 18852444?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 510900 is divided by 89.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bababab. Give prob of picking 3 a.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3750*y**2 - 4*y - 4. Let j(p) = 5272500*p**2 - 5625*p - 5625. Determine -5625*c(z) + 4*j(z).\nAnswer: -3750*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 7 + 36\/(-4) + 24. Solve p = -6*x + 9 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 71286 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -415 (b) 0.4 (c) 0.03 (d) -2442\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/((-280)\/(-64)))\/(6\/21). Let g = -2 + 1. Let j = -1.2 - g. Which is the third biggest value? (a) v (b) j (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 12*m**2 + 20*m + 90. Calculate g(-13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84, -159, -234, -309?\nAnswer: -384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -86 + 482. List the prime factors of k.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 71300751?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 32852, 32847, 32840, 32831, 32820?\n\"Answer: -h**2 - 2*h + 32855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/25)\/(((-2)\/(-10))\/(20\/(-40)*47))?\nAnswer: 47\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + -20. Let y = w + 22.062. Round y to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2336\/35277 - 6\/1069. Suppose -3 + 2 = 3*j + 2*z, -2 = 4*j + 3*z. Is d less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5425863593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 565.\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 4 + ((((sqrt(216)*6)\/sqrt(6) - sqrt(36)) + sqrt(36))\/sqrt(3) - (sqrt(12)*3*-2 + (sqrt(432) + -4 - sqrt(12)))).\nAnswer: 12 + 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 159236033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*j = 3. What is the closest to -0.1 in j, -3\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15184 divided by 13\nAnswer: 1168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 12, n: 6}. What is prob of sequence nn?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -34*f + 34. Let u(b) = 14*b - 16. Let m(w) = 12*u(w) + 5*x(w). Calculate m(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1632 (base 8) to base 11.\nAnswer: -769","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 91\/6 + -4187\/276. What is the common denominator of k and 50\/21?\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**2 - 2*v**2 + 3*v**2 + (3 + 0 - 1)*(-3*v**2 + v**2 + 5*v**2) + 5*v**2 - 3*v**2 + 0*v**2 + v**2 + 2*v**2 + v + 15*v**2.\nAnswer: 29*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 2 + 0 - (-43 - -55) - (53 + -96).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/3 + 2767*s**2\/3 - 2768*s\/3.\nAnswer: s*(s - 1)*(s + 2768)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4692822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 2268929.\nAnswer: -5\/2268929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 37397, 0, 13 in descending order.\nAnswer: 37397, 13, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22885 and 48755?\nAnswer: 995","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, u: 1, n: 1, v: 1, j: 1, m: 1}. What is prob of sequence nv?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 462*n - 451*n = 220. Let v(w) = 5*w**3 + 3*w - 2. Let l be v(1). Calculate the highest common factor of n and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 n when two letters picked without replacement from {s: 5, h: 6, n: 3, m: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 165 * 5\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3465 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -348 + 2779 = -128*y - 1 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 2*i**2 + 95 + 0*i**2.\nAnswer: -2*i**2 + 123","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.223 equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -5, -1, 9, 101 in decreasing order.\nAnswer: 101, 9, 4, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/495)\/(16 - (-4108)\/(-286)).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 9*c**2 + 2*c - 8. Give a(-8).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.43 + 0.03. Let x = p + 0.5. Let j = 0.2 - x. Which is smaller: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/2 and 37\/1328.\nAnswer: 1328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/((-4)\/2))\/(2\/(-2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjlqfpf. What is prob of picking 1 p and 1 q?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*y = 17 - 1, 0 = -4*a - y + 14. Suppose -5*f - a*g = -g - 2773, 1651 = 3*f + 5*g. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**7\/z*z*z**(-5))\/(z**(-5)\/z*z*z*z**(-3\/4))*(z**(1\/2)\/z)**(6\/5)*(z**(-3)\/z)\/(z**(1\/2)\/z) assuming z is positive.\nAnswer: z**(53\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.66 - -0.76. Let p = 14.9 + u. Let w = p + -11. Which is the nearest to -1? (a) w (b) 5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/4)\/((318\/(-1696))\/((-6)\/16)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from isusstis. Give prob of picking 1 s, 2 i, and 1 t.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 7 - 13 = 0. Suppose -10 = -b - 3*s, -s + 31 = l*b + 2. What are the prime factors of 4*(b + (-4 - -4))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 494 by 494.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 328.837 + -329. Let p = -0.037 + r. Which is the nearest to p? (a) 0.3 (b) 3\/7 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of 11*j**8\/28 - 5*j**4\/6 + 15*j. What is the third derivative of v(n) wrt n?\nAnswer: 2640*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-48)\/36 + (-32)\/(-24). Let t(x) be the second derivative of f + 1\/4*x**4 - 5\/2*x**3 + 3*x + 0*x**2. What is the second derivative of t(i) wrt i?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**4 + 2*v**2 - 2*v**2 + (0*v**2 + 0*v**2 + 2*v**3)*(v + 2*v - v) + 0*v**4 + 2*v**4 + 2*v**4 - v**4 + 0*v**4 + 10*v**4)*(5*v + 0*v + 0*v).\nAnswer: 90*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2\/25 of a litre?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**4 - 25*r**3 - 23560*r**2 - 584820*r.\nAnswer: 5*r*(r - 81)*(r + 38)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/25 of a millimeter?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 21741 times 4\nAnswer: 86964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -110\/113 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.9 + 2.11. Let y = 0.79 + t. Let z = -4.6 - -5. Which is the fourth smallest value? (a) 0.06 (b) -4 (c) z (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15\/(-30) + (-9)\/(-2). Let d = 18.9 + -1.9. Which is the smallest value? (a) -0.5 (b) d (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 33*y + 4. Let z be d(-2). Let r = -60 - z. Find the third derivative of 10*i**r - i**2 - 9*i**5 + 7*i**2 wrt i.\nAnswer: -540*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 10*g - 19*g - 6 + 3*g. Give y(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -32, -90, -246, -548, -1044, -1782?\n\"Answer: -8*f**3 - f**2 + f - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqkf when four letters picked without replacement from {q: 2, x: 1, k: 1, f: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 14033245233?\nAnswer: 14033245242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 731*s - 63. Let a(b) = -b + 269. Calculate a(r(f)).\nAnswer: -731*f + 332","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -5*t**2. Suppose 8*u - 150 = -7*u. Let j be 5*(2\/u + 1). Let z(k) = 14*k - 7*k - j*k - 10*k. Give z(p(a)).\nAnswer: 45*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + h - 20 = 0. Suppose 0 = -h*q + 18 + 77. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -72 + 72 - 2*b. Let a(s) = 3*s. What is c(a(i))?\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -179*v - 9602. Calculate the lowest common multiple of w(-54) and 142.\nAnswer: 4544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -320 (base 5) to base 13.\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1095343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 42473032 and 0.3.\nAnswer: 42473032.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**3 - 2*d**3 + 2*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5665 and 10403.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z + 2*z + 0*z)*((-2 - 2 + 5)*(2*z - 3*z + 4*z) - 199*z + 222 - 222) to f*z**2 + n + x*z and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -218*u - 288 + 2904 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, i: 2, g: 6, p: 1, j: 3, l: 1}. Give prob of picking 2 k, 1 j, and 1 i.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 17 = -5*d + h, 5*h = 25 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/4 and -43\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3345, 3343, 3353, 3387, 3457?\nAnswer: 3575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1269.18 rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -115*k - 88 + 88 to f + c*k and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*f**2 + 0*f**2 + 9*f**2)*(-6 + 6 - 23) + 2*f**2 - f**2 - 3*f**2.\nAnswer: -554*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -890, -843, -768, -665, -534, -375, -188?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 184 (b) -1 (c) 82\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 n when four letters picked without replacement from {u: 1, o: 1, n: 1, t: 2, v: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*sqrt(11))**2 + -1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*j - 1757 - 1394 + 575 = 617 for j.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -11.\nAnswer: -11, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.07 (b) -46.7 (c) 3 (d) -17 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.01 + -0.61. Let a = 0.2 + f. Let s = a + 0.406. Round s to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23512532 - 407.9\nAnswer: -23512939.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 155, 177, 187, 185?\n\"Answer: -6*q**2 + 40*q + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 29688120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 9:48 AM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**5\/7 + 4*h**4\/7 - 30*h**3\/7 - 40*h**2\/7 + 88*h\/7 + 96\/7 = 0. What is h?\nAnswer: -4, -2, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2988348*c + 4*s = -2988346*c - 2, c - 3*s = 5 - 1 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -9*x**3 - 16*x**2 + 16*x - 13. Let n(c) = 6*c**3 + 11*c**2 - 11*c + 9. What is -7*n(z) - 5*y(z)?\nAnswer: 3*z**3 + 3*z**2 - 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(2299) - 2*sqrt(2299)) + sqrt(2299).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14*((-66)\/(-12))\/11 + 3467?\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 - 9990*a**3 + a - 121 + 9999*a**3 as z*a**3 + h + i*a + g*a**2 and give h.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 453 + -443.78. Let h = 66.7 + s. Let u = h - 78. Round u to one dp.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 628312778.997479 + -628311714. Let o = z + -1065. What is o rounded to four decimal places?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7\/2 - -17\/6. Let x be (16\/10 + 0)*45\/(-18). Put -2\/23, x, 1\/2, f in ascending order.\nAnswer: x, f, -2\/23, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {h: 6, n: 3, q: 4}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 - -23. Let o = -58 + 38. Let r = o - -20.5. Which is the second smallest value? (a) r (b) -3\/5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2 - 37 = 0. Suppose 21*g - 400 = 5*g. What is the remainder when g is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 26397628, 52795312, 79192986, 105590644, 131988280, 158385888, 184783462?\n\"Answer: -d**3 + d**2 + 26397688*d - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-28)\/(-3))\/(40\/3420). What is the highest common divisor of p and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 2878.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.6 + 9. Let n = o + -3.5. Which is the nearest to -0.4? (a) -4 (b) n (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7 - (2 + -5))\/(-2). Sort a, -4, 0.06 in decreasing order.\nAnswer: a, 0.06, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and ((-51)\/(-6) - 5\/2) + 27?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2134537753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2524*s**2 - 304*s**2 + s + 1 + 0*s. Let l be r(1). Suppose 2*y = -4*o + l, -3*o = -5*y - 4*o + 5600. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3233.4017259132 - -1.1307314132. Let v = -3232.2 - a. Let h = 0.071 - v. Round h to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.00324 and 0.2?\nAnswer: 0.19676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -12.51\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98882085, -98882087, -98882089, -98882091, -98882093?\nAnswer: -98882095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**3 + 21*s**2 - 5*s + 62. What is g(-11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 4:44 PM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7017660.964 rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-4 - -8) - 4 - 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*w**2 + w**2 + 23*w**3 - 6*w**3 wrt w.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1977, 3931, 5885, 7839?\nAnswer: 9793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o = 6*o + 583. Calculate the remainder when o is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-95)\/19 + (-1 + -1)*25\/(-10). Let p(k) be the first derivative of m*k + 1\/3*k**3 + 0*k**2 + 19. Let f(t) = 31*t. What is f(p(x))?\nAnswer: 31*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/4*0\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 250560 a multiple of 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3 - -2) + 2)*(-8)\/48?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 4, 1321, -1\/4, -3\/5 in descending order.\nAnswer: 1321, 23, 4, -1\/4, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -1355*d + 3. Let z(j) = -1567746*j + 3470. Determine 3470*u(n) - 3*z(n).\nAnswer: 1388*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/8)\/m)**(-8)*(m*m**(1\/2)\/m)\/(m\/(m\/m**(-2\/7))*m) assuming m is positive.\nAnswer: m**(67\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 0, -5, 4.\nAnswer: -5, 0, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-15))\/(((-10)\/7)\/((-252)\/735))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*(-5)\/16)\/((-3)\/(360\/25)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.777898ml?\nAnswer: 0.005777898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 4624*i**3 - 52*i**2 + 6*i - 40. Let u(p) = 9248*p**3 - 105*p**2 + 13*p - 85. Let a(s) = 6*u(s) - 13*y(s). What is the third derivative of a(k) wrt k?\nAnswer: -27744","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(77))\/sqrt(11) + ((-2*sqrt(175))**2 - sqrt(7)).\nAnswer: -4*sqrt(7) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 335?\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 11*o**2 + 34*o - 374. Calculate a(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/5 of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8160 + -8085. Calculate the remainder when 230 is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4684, 18834, 42418, 75436, 117888, 169774, 231094?\n\"Answer: 4717*i**2 - i - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10208 and 45856.\nAnswer: 14628064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2095 = -2*z - 1725, w - 5*z = -1940. Suppose 3*m + 12 = 0, 18250 = 4*v + v + 5*m. Let o = w + v. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - k + 3*k = -10, -3*f + 2*k + 10 = 0. Suppose f = 14*y - 5*y. Suppose -2*m = -y*m - 3*m. Is m >= -3\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*c**2*q**3 + 23977*c**2*q**2 + 5*c*q**3 + 72*q**3 wrt q.\nAnswer: -96*c**2 + 30*c + 432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 76 - 60, 3 = f + 2*m. Is 0.062 at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - 3. Calculate the smallest common multiple of (-4)\/a*3\/2 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(8)\/sqrt(4) - (sqrt(8)*2)\/sqrt(4))**2 + -1.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + k**4 + 1 + 0*k**4 + (-4 + 4 - 1)*(k**4 + 2*k**4 - 4*k**4) + 3*k**4 + 0*k**4 + 0*k**4 to the form x + m*k**4 + z*k**2 + d*k + b*k**3 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 e when two letters picked without replacement from ebpzpvbbabav?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**5 + 19*u**4 + 90*u**3 + 164*u**2 + 104*u.\nAnswer: u*(u + 2)**3*(u + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*d - 5*d - 3*d**2 + 13 + d**2 - 4*d to the form b*d + u*d**2 + h and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -72462 + 133946. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 33 = 4*k + 13, k - 2*u = 5. Let a = 59 + -12. Let p = a + -47. Sort 1, k, p.\nAnswer: p, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence deed when four letters picked without replacement from ddeed?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -17. Let h be 14*((-3)\/o + 1). Suppose -3 = -2*r + h. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - (-3)\/(-15)) + (-598)\/(-65). Solve 4*s + 5*k + v = 0, -4*s + 5*k + 37 = -s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 115*a**3*j**2 + 2*a**2*j**2 - 16*a**2 - 8*a*j**2 wrt a?\nAnswer: 690*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + -2 + 102\/(-3). Let t = -84 + 159. Let a = t + x. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 415*t**2 + 54*t + 58 - 140*t**2 - 129*t**2 - 149*t**2. Give v(19).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*((-3)\/(-36) + 78\/(-72)). What is the nearest to 1.1 in 5, k, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2. Let p(v) = -v**2 - 20*v + 23. Let m be p(-21). Let w(n) = n + 3. Calculate m*w(t) - 3*d(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/185 in 3\/8, 456, 0.4, 1, -1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -2, -144, 12 in decreasing order.\nAnswer: 12, -2, -28, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 33540828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 469?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 819?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1\/(-7 - (-238)\/35)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.4 (b) -3\/83 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 84*u + 25*u + 11*u - 11 + 13 - 26*u in the form p + z*u and give z.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -87624755*h**4 + 118528595*h**2 wrt h?\nAnswer: -2102994120*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1 - -2 - (6 + -6 + -17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/5)\/(28\/4200*90).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00500760056 to 7 decimal places.\nAnswer: 0.0050076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 16*s - 2. Let g(w) = -28 - 73*w + 28 + 74*w. Determine g(j(i)).\nAnswer: 16*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1079, 2157, 3235?\nAnswer: 4313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -19, -38, -61, -88, -119, -154?\nAnswer: -193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/6 greater than 503?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l. Let j be 4*((-7)\/(-2) + -2). Suppose -4*q = -j*q - 52. Let f be q\/(-6) - 4\/(-6). What is h(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*(-4 + 51\/9). Let y(x) = 10*x**2 + 2*x + 5. Let m be y(a). What is the greatest common factor of 35 and m?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 - 24 = 3*u. Suppose -2*d = u*d, 7 = -g - d. Let p be ((-53)\/(-3))\/(g\/(-21)). Calculate the highest common divisor of p and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/6 - 45*p - 2037\/2.\nAnswer: (p - 291)*(p + 21)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1764 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.239 + -13.339. Let f = y + -80.9. Let t = f + 93.7. Which is the smallest value? (a) t (b) -3 (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/684 and -77\/81762.\nAnswer: 9320868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y**2. Let u(p) = 15574*p. Determine m(u(f)).\nAnswer: -727648428*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 19 + 20 = 0. List the prime factors of y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 187 - 229. Let f be (-15)\/n*(-20)\/(-25). Solve -4\/7*v**3 - 2\/7*v**2 + 0 + f*v**4 + 4\/7*v = 0 for v.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7515 divided by -3.\nAnswer: -2505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 1) + -11 + 8 + 0\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 3 + (-3 + 10 - 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/((-10)\/(-15)*(-5 + (-10915)\/(-2180))) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -g**6\/120 - g**5\/4 - g**4 + 54*g**2. List the prime factors of b(-14).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 945\/2*a + 3\/2*a**3 - 471\/2 - 477\/2*a**2 = 0. Calculate a.\nAnswer: 1, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5 = x + 12, -3*x + 34 = 5*n. Solve 4*s = -n - 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwffwnfffwfffwfwnw. Give prob of picking 1 w and 2 f.\nAnswer: 21\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 2*x - 2, -x = -3 - 1. Let h(m) = m. Let v be h(4). Suppose 5*u = 27*r - 24*r + 31, -2*u + 3*r + 25 = 0. Solve -i*t + v = -u*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -2*g - 10, 5*g + 12 = 5*c - 8. Suppose c*v - 73 = -f, 0 - 186 = -2*f + 4*v. Does 15 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 122483, 1 in descending order.\nAnswer: 122483, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o - 30*o - 12*o**3 - 3*o**3 + 14*o - 6*o**3.\nAnswer: -21*o**3 - 14*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 966170?\nAnswer: 2, 5, 79, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and 53.7?\nAnswer: 3.222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -448544 not equal to -448544?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -523, -1102, -2013, -3250, -4807, -6678, -8857, -11338?\n\"Answer: g**3 - 172*g**2 - 70*g - 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 8 = 2*x, -14*s + 13*s = -4*x + 2. Which is smaller: x or 1\/141?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153*j**2 - 314*j**2 - 17*j**2 - 2*j**2.\nAnswer: -486*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-5 - -12) + -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/52 and 55\/17186.\nAnswer: 34372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.6 + -2.1. Let a = -5 + 9. Let b = a - 3. What is the nearest to 3 in -4, b, d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45311 (base 6) to base 11\nAnswer: -487a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3733*j**3 - 13*j**2 - 1264*j. Let x(w) = 7*w**3 - 2*w**2 + w. Let u(t) = m(t) - 6*x(t). What is the second derivative of u(v) wrt v?\nAnswer: -22650*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17.9633 - 0.03702. Let m = 20.5 + -2.5. Let q = m + x. Round q to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -255*i**2 + 96*i - 9 = 0?\nAnswer: 3\/17, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, 8024194, 0.1 in ascending order.\nAnswer: 0.1, 31, 8024194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 103, 157, 207, 247, 271, 273?\nAnswer: 247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -p**11\/55440 + p**10\/50400 + p**9\/20160 - 7*p**5\/12 - 23*p**2. Let i(n) be the third derivative of h(n). Factor i(a).\nAnswer: -3*a**3*(a - 1)*(2*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 12*u - 42. Let d(m) = -14*m + 41. Let l(p) = 2*d(p) + 3*n(p). Let z be l(6). Solve -f = z*c + 12 + 2, 0 = 2*f + 4 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**23*y**(-18))\/(y**(-34)*((y*y**17)\/y)\/y) assuming y is positive.\nAnswer: y**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -326.4 times -1?\nAnswer: 326.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fllflffflfll. What is prob of picking 1 l and 1 f?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 4*o + 6. Let j be w(5). Let v be j + -4 + 5 + -2. Differentiate v*g**2 + 3 + 2 - 2*g**2 with respect to g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 97 + -106 + 40.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-4*(-1 + sqrt(1331)) + sqrt(1331))*-4 + (6*sqrt(1331)*1 - (sqrt(1331) - (sqrt(1331) + 0)*-4))*1 + -5)**2.\nAnswer: -114070*sqrt(11) + 4959876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -4*r**4 - 652*r**3 - 26984*r**2 - 97760*r = 0.\nAnswer: -94, -65, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 74*l**4 + 40*l + 7 wrt l?\nAnswer: 888*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 9. Suppose -1 - 2 = -3*b. Suppose -m - b = -6. What is the greatest common divisor of m and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 21*y + 29. Let k be b(7). What is the highest common divisor of 22 and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2606301237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 341, -4 in increasing order.\nAnswer: -4, 2\/9, 341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4*s**3 + 9*s**2 - 5*s + 16. Calculate o(4).\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4545166 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 324810 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*r + 1 - 258*r + 7*r - 1.\nAnswer: -267*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/2178)\/((-10)\/(-1080)*-3)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -2*z**2 + 970672*z - 970670 = 0?\nAnswer: 1, 485335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 68?\nAnswer: 6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 109850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 9*o - 59. Determine r(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -15689, 2, 26, 0.4?\nAnswer: -15689","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*y + 80*y - 209*y + 4900 = 0 for y.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 4*r + 6. Let l be ((-8)\/32)\/((-2)\/16). Suppose -l*u - 48 = -10*u. Give i(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 + 0 + 0 - 3.\nAnswer: d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2 - 8 = 0. Suppose -5*f + 3*b = -10, -f - u*b = -b - 25. Suppose 0*y = f*y + i - 56, 3*i = 3. What is the remainder when y is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2225445.\nAnswer: 3, 5, 89, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-3) + (96\/(-18))\/4. Suppose t + 0*b = n*b + 246, -5*t + 2*b = -1246. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of l**5\/60 + l**4\/24 - l**3 + 25*l**2. Let g(n) = -n - 4. Let j be g(-4). Give x(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 5*o - 7. Let x be v(6). Let q = 82 + -432\/5. Find the common denominator of ((-35)\/(-3))\/(x*2) and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.0357752 or -1.7?\nAnswer: 0.0357752","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -521 - 1429. Let m = a + -322. Sort m, 5, -3, -8 in increasing order.\nAnswer: -8, -3, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2854 - 2809. Solve -22*b + 31*b = -m for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -491827364*c**3*y**3 - 117*c**3 - 559782*y**2 wrt y.\nAnswer: -2950964184*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 23333991 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 373 = 106. Let n = t - -205. What is the remainder when n is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5\/7 (b) 3\/2 (c) -2\/51 (d) 0.2 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/9 (b) 2\/8619 (c) 0.6 (d) -4 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - 1) + (-216 - -206) - (36 - -10)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 35110767?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p - 9. Let n(t) = 1125*t + 65. Determine 7*l(i) + n(i).\nAnswer: 1111*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 3:30 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.009 - 1.991. Which is the second smallest value? (a) -1 (b) -0.5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/(-6))\/5*-2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -5, -1049, -0.3, 3\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m + 3*v - 27, 0 = -144*m + 149*m - 0*v + v + 7 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-2)*(-314)\/3140?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 358078 = -l, 2*g = -2*l + 286979 + 71111. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.03 + -0.03. Let q(z) = -z**3 + 6*z**2 - 5*z + 4. Let d be q(5). Let x be (4\/2)\/((-4)\/(-10)). What is the closest to j in x, -2\/15, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6.7, -4, -0.31, -2 in ascending order.\nAnswer: -4, -2, -0.31, 6.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11411031 - -5?\nAnswer: 11411040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*y + 702 = 4092 for y.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14353126 to the power of 1\/2, to the nearest integer?\nAnswer: 3789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11066406?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + g - 2. Let s(z) = -z**2 + z - 1. Let k(y) = b(y) - 2*s(y). Let x(m) = -3*m**2 + 6*m - 1. Let a(r) = -4*k(r) - x(r). Calculate a(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56390*s - 760 = 56352*s for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**3 - 5272*z**2 - 31605*z - 47394 = 0.\nAnswer: -5266, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -g + 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 55 + (-21 - -57 - 5) + -61\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/46*(-15)\/(-20)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -37, -206, -499, -916, -1457?\n\"Answer: -62*b**2 + 17*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8, 12, 392759, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14931717 - -14931717.057202755. Let x = -0.0572 + d. Round x to 7 dps.\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rhr when three letters picked without replacement from ddrdrrdhrdrrdrh.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3490 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4*-124020\nAnswer: -496080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 15 = -3*z - 4*y, 5*z = -5*y + 35. Suppose 4*o - 4*v + 2 = -3*v, 3*v = -3*o - 9. Sort z, o, -4 in ascending order.\nAnswer: -4, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 33 = -3*z, 5*o - 2*z = 3*z + 215. Let k be ((-2)\/o - (-6)\/16)*2. Factor -1 + k*g + 1\/3*g**2.\nAnswer: (g - 1)*(g + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -23.3 and 1.\nAnswer: -23.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 15096046, -0.3, 2 in descending order.\nAnswer: 15096046, 2, -2\/9, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 11378607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eove when four letters picked without replacement from evezhot.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0236 - -0.0764. Is q at least as big as -7\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/7 - 136\/14. Let a be 1183\/(-78) + 2\/12. Let w = n - a. What is the greatest common divisor of 5 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12076 * -0.06\nAnswer: 724.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 7*y**2 + 8*y + 12. Let x(a) = 7*a**3 - a**2. Let w be x(-1). Determine u(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294370 is divided by 333.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d**2 - 102*d - 150. Give m(22).\nAnswer: -458","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.3901 rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 42\/5 and -75\/188.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23030 - 10220120230?\nAnswer: -10220031200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 7 = -5*l + 31, c + 2*l = 29. Let g = 86 + -54. Let n = g - c. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*d + 25 = -18*d. Let c be d\/28 - 12\/16. Factor 0 + 0*n**2 + 0*n + c*n**4 - 1\/7*n**5 + 2\/7*n**3.\nAnswer: -n**3*(n - 2)*(n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 286025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - -187.\nAnswer: 187.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11348*y + 35 = 3*v + 11353*y, 0 = -2*v + 2*y + 18 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + m + 9, 4*w = 5*w + 3*m + 1. Suppose -2*y = -y + 5. Which is the closest to w? (a) y (b) -3 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide ((-351)\/12)\/(27\/(-324))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 1\/33, -2, -1.4, 0.6?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000297817 to 7 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**3 + 22*s**2 - 8. Calculate d(11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/32*(-96)\/(-80).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-3\/8)\/b*b)**(-44))**(4\/15))**(3\/14) assuming b is positive.\nAnswer: b**(33\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 22688408957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/8)\/(1\/78). Calculate the remainder when (-1047)\/j + 4\/26 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s - 11. Let o be u(7). Let a be (6 - (-3 - -1))*(-46)\/o. Suppose 9*n = 11*n - a. Does 5 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-4)\/m)\/m*m*m**(3\/8)*m**4*m*m\/(m\/(m*m*m*m*m\/m**(2\/19)*m)))\/((m\/(m**(2\/11)\/m))\/m**4)**(16\/7) assuming m is positive.\nAnswer: m**(131749\/11704)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3703*a + 89 = 4*m + 3704*a, 4*a = -591*m + 13006 for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 60d + 1857b?\nAnswer: 18b8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2995*f**2. Let m(p) = -2*p. Calculate l(m(g)).\nAnswer: -11980*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 z, and 2 y when four letters picked without replacement from jbgzy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -9*h**2 + h + 1. Let d be r(-1). Let m be 3\/d - (-64)\/(-6). What is the remainder when 22 is divided by (-3)\/((-6)\/2) - m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166378922.\nAnswer: 2, 31, 337, 7963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-5) + (-18)\/(-5). Suppose 5*f - 135 = -5*i + 2*f, -2*f + 58 = 2*i. Solve -w + i = -s*p, -w - p - 5 + 4 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10001011000011101 (base 2) to base 10\nAnswer: 71197","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7079*211.\nAnswer: 1493669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7933, 7941, 7949, 7957, 7965?\nAnswer: 7973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 701498132?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -98*3\nAnswer: -294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1238 - 0\/(-3 + 5\/5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q**5 - 45*q**4 + 145*q**3 - 195*q**2 + 90*q = 0.\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(388\/(-96) + 4). Suppose -9*s = -7*s - p. Solve -3*z - 3 = s for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (14\/6)\/((-2324)\/1992). What is the closest to -1\/5 in 136, i, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 66.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + (3 - 3) - 2. Let x(v) = -v + 6 + b - 2. Give x(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2939 is divided by 147?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4708, -18821, -42336, -75247, -117548, -169233?\n\"Answer: f**3 - 4707*f**2 + f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 28 = -56. Suppose -7*x + 940 = -2*x. Suppose -3*t - 2*n = -6*n - x, -3*n - 66 = -t. What is the highest common divisor of t and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 8 + -51 + 26 + -37.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5290479 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 692.467548 to one dp.\nAnswer: 692.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 8*x**2 + 7*x + 7. Let l be y(-6). Calculate the highest common divisor of 259 and l.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 163*v**3 + 71*v**3 + 490*v**3 + (2*v - 1 + 1)*(0*v**2 - 5*v**2 + 4*v**2) + (-3*v + 3*v + 2*v)*(-2*v**2 + 3*v**2 + v**2).\nAnswer: 726*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/4)\/(77\/28 - 3). Solve 0 = 5*a + 2*l + 6, 5*a = -2*l + d*l - 12 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*w - 267*w - 1460 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 6 + 7 + (-2 - 4) + -41 + -2.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -0.3, 1\/22588 in ascending order.\nAnswer: -0.3, -1\/6, 1\/22588","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -89179308 less than -68681.1?\nAnswer: 89110626.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79866.78ms to nanoseconds.\nAnswer: 79866780000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1085721 by 26481.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 168193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5798140 and 553285.\nAnswer: 2684538820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w**3 - 29*w - 3*w**3 + 29*w.\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = v - 4*p - 2474, -5*v + 5*p = -13115. What is the highest common divisor of v and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13481.1 - -13481. Which is the third biggest value? (a) z (b) -3771 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 2*u - 261, 5*b - 231 = 5*u + 44. Suppose -2*i = -2*r - r - b, -2*i - 5*r + 61 = 0. Is i a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 224758?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + c + 4 = 0, 0 = -5*b - 2*c + 278 - 253 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 2*q - 2149, q - 1197 = 5*d - 85. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30\/(-6) - (-789)\/159. Which is bigger: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -m**5\/60 + m**4\/6 + m**3\/3 - 14*m**2. Give x(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 7195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + -4 + -1 - -26. What is the least common multiple of 1 and 21\/2 - (-11)\/k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1569280?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 + 0*l**2 + 14*l**2 + 10*l**2.\nAnswer: 23*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*s - 30. Suppose s*r - 50 = r. What is the least common multiple of r and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 5*s**2 + 4*s + 1. Suppose -2*m = -6*m + 20, 0 = 3*d - m + 17. Let y be q(d). Suppose -3*n + y = -5. Solve 3*w + n*w = 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 2*y + 0*y)*(-1 + 3*y**2 - 3*y**2 - 5*y**3)*(-2 + 4 + 4).\nAnswer: -60*y**4 - 12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106237 is divided by 8853?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 43 and 1677?\nAnswer: 1677","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 3 + (-34 - 0). Let r = 45 + i. Let j(s) = 2*s - r + 13. Let d(z) = 2*z. Determine d(j(v)).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-9*(-29)\/(-30015))\/(1\/(-5))\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -32, 30, 134, 280?\n\"Answer: 21*c**2 - c - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 e when three letters picked without replacement from {r: 1, w: 1, y: 6, h: 3, e: 2}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -49716 rounded to the nearest one hundred?\nAnswer: -49700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u + 5*q + 13 = -26*u + 7*u + 11*u - 4, 0 = -5*q - 25 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*l + 24 + 31 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/10*10\/3. Suppose -x*m + 185 = 1. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 54 = 4. Let i(b) = -9*b - 13*b + 18*b - b**2 - 1. Let f be i(-3). Solve 0 = -2*y + 5*y + f*k + 2, -5*y = 5*k + d for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, 0.06, 2, 3, 1, -1\/184 in decreasing order.\nAnswer: 3, 2, 1, 0.06, 0.03, -1\/184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-7 - (5 - 7 - 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.9? (a) 5 (b) -33234 (c) 3 (d) -0.4 (e) 1 (f) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1645240 divided by -41131?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 83350*f**3 + 61*f + 122. Let l be w(-2). What is l rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 12956.309 and 6689.\nAnswer: 19645.309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -0*y - 21. Let b = y - 4. Suppose 3*z - 315 = 3*d, b*d = 2*z - 6*z + 441. Round z to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 80 + 92 = 0. Find the first derivative of -9*s**3 + 11 + 3*s**t - 3 + 12 wrt s.\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 11*k - 8. Let n(m) = 13*m - 8. What is -2*n(f) + 3*q(f)?\nAnswer: 7*f - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of 9*r**7\/280 + r**6\/20 + r**5\/40 + 11*r**3\/6 + 7*r**2. Let n(h) be the first derivative of m(h). Factor n(g).\nAnswer: 3*g*(3*g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6806855245 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*u + 26*u + 148 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1620026184 - 1620025967.00000161. Let b = 0.0079 - -216.9921. Let a = b - n. What is a rounded to 7 decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64 and 40?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54, -88, -76, 6, 182, 476, 912, 1514?\nAnswer: 2306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16615?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*w + 44*w = -48. Is 2\/(4\/(-43116)*w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-286)\/(-273))\/(159\/(-13356))?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 2*c + c)*(-940 + 152*c**2 - 151*c**2 + 41).\nAnswer: -c**3 + 899*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3401*t + 4. Let m be h(4). What is m rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23084 = -10*z + 66006. Calculate the highest common divisor of z and 151.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 9:25 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oooo when four letters picked without replacement from {k: 5, o: 11}.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1263972, 2527947, 3791922, 5055897, 6319872, 7583847?\nAnswer: 8847822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*j**2*s*x - j**2*x - 187*j*x - 39764*s*x wrt j.\nAnswer: -8*j*s*x - 2*j*x - 187*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooddodood. Give prob of picking 3 d.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 23, 15, -17, -79, -177, -317?\nAnswer: -505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 15*f**2 - 42*f + 7. Let j(r) = 3*r**3 + 47*r**2 - 126*r + 21. Let k(l) = -2*j(l) + 7*x(l). Let i be k(-14). Solve -16*a + i*a + 36 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 23*w**2 - 6*w - 8. Let p be f(6). Suppose 28*b = 14*b + p. Calculate the greatest common factor of b and 112.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/4, -3, 39\/38, 1\/5, -1\/4, 2\/5, 148?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -4*g**3 + 31*g**2 - 2197*g + 17616. Determine h(8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.92 - 0.08. Let u be (0 - 0) + 6\/(-9)*-3. Which is the smallest value? (a) 0.3 (b) k (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -5, -2*v = 5*h + 4 - 19. Let u be h\/(-30)*-111*(-24)\/(-2). Suppose -q + u = q. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight thirds of a millennium?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 80161 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 0*k**2 + 2*k**3 - 3*k**3 - 5 + 3*k**2 in the form w + j*k**3 + r*k + x*k**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*v**4 + 22145*v**3 - 462615*v**2 - 991685*v - 506920 = 0. Calculate v.\nAnswer: -1, 23, 4408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(187)*-3 - (sqrt(187) - 1*sqrt(187)*2))\/(sqrt(110)\/(sqrt(20)\/sqrt(2)) - (sqrt(88) - (-1*sqrt(88) - sqrt(88)) - sqrt(88))\/sqrt(8)).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = s - 2. Let b = 376 - 343. What is the remainder when b is divided by ((5 - 3) + -5)*s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 + -12 + 5)\/13\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q*(q*q**1*q)\/q*q*q))\/q)**(-9))**(-12) assuming q is positive.\nAnswer: q**(-540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - (-1*sqrt(156) - sqrt(156)))*4*-4*2)\/((sqrt(96)*-2*3 - sqrt(96))\/(sqrt(8) - -1*sqrt(8)*3)).\nAnswer: 384*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -7*p**3 - 1. Let c(d) = 4586*d**3 - 5. Calculate -c(w) + 5*y(w).\nAnswer: -4621*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0074150008 rounded to six decimal places?\nAnswer: -0.007415","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 m when two letters picked without replacement from {u: 6, l: 1, c: 9, m: 2}?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81033 is divided by 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -10, 2, -5, -8 in increasing order.\nAnswer: -10, -8, -5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46327\/5 - 9265. Suppose -123 = -r - 29. Let d = 657\/7 - r. Put 5, d, c, -2 in descending order.\nAnswer: 5, c, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 135 + -87. Is 2 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 + 17 + 100)*(10*d**3 + d**3 - 56*d**3).\nAnswer: -6210*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -13*b - 20. Let k be d(-2). Suppose k*p = -28239 + 181605. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 879813 + 2*h**3 - 879813 + 576*h**4 + (-3*h**2 - 3 + 3)*(1 - 1 + h**2).\nAnswer: 573*h**4 + 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**4\/3 - 2*u**3 + 4*u**2 - 10*u\/3 + 1 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -3*w**3 - 51*w**2 - 240*w - 192 = 0.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 886891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -6*d - 11. Suppose -5*p - d*l + 4*l = 16, -2*l + 21 = -3*p. What is the third smallest value in p, -121, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.6 - 2.6. Let j = t - -0.12. Round j to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 352\nAnswer: 1760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 85538 - 6*i**2 + 505*i - 85538 to the form b + c*i**2 + p*i and give p.\nAnswer: 505","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3419441902 rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 5*b**6\/6 - 2*b**3\/3 + 27. What is the third derivative of w(v) wrt v?\nAnswer: 300*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1385 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -4, 14, 36, 62, 92?\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzz when four letters picked without replacement from fzfzztztt?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2967856 to the power of 1\/2, to the nearest integer?\nAnswer: 1723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 4:25 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from ihdhdhihdhdd?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 89299572 to the nearest integer?\nAnswer: 9450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 70942488506 plus 9?\nAnswer: 70942488515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26682 * -5.\nAnswer: 133410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -183.87, -234, -12, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*n + 3*n**3 - 11*n)*(-3*n - 10 + 18 - 10)*(-5 + 3 + 0) to j + l*n + i*n**2 + q*n**3 + s*n**4 and give s.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5117 - 9868?\nAnswer: -4751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 223 + -223.196. What is y rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 55.99143 millennia?\nAnswer: 559.9143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4115\/331403 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 28077855 to the nearest ten thousand.\nAnswer: 28080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40425 and 490.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 945, 7691, 26135, 62163, 121661, 210515?\nAnswer: 334611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2486, -545, -5588, -12637, -21686, -32729, -45760?\nAnswer: -60773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 257, 269, 285, 305?\nAnswer: 329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4*q = -2*z + 5, 2*z - 20 = -4*q. Suppose 0 = -z*b + b + 11. Let r = -3 - b. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fofooof. What is prob of sequence ff?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/20)\/((-3)\/15).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2508772961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/350)\/(2\/20)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001385173 to 4 decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence py when two letters picked without replacement from bpkmlly.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**3\/y)**13)**(-3\/11) assuming y is positive.\nAnswer: y**(-117\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 7*j. Let s be j\/((-6)\/(-2)) + 2. Let w(k) = k**2 - k**s + k**2 + 4*k. Determine w(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 13*k**2 - 4 + 2.\nAnswer: 13*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16691525101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x - 69. What is t(-32)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2. Let s be (-5 + 4)\/(2 - 3) - 1. Let m(v) be the third derivative of -5*v**2 + 0 + 1\/20*v**5 + s*v + 0*v**3 + 0*v**4. Calculate g(m(l)).\nAnswer: 9*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 6) in base 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31 and 117127?\nAnswer: 3630937","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wrw when three letters picked without replacement from {w: 14, e: 2, r: 1}.\nAnswer: 91\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u - 7*j - 420 = 0, -j + 543 = -4*u + 777 for u.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h**2 - 8*h**2 + 16*h**2 + 15*h**2 in the form m*h**2 + z*h + i and give m.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 1 = 11. What is the first derivative of -x**2 + x**2 + j*x**3 - 2 + 0*x**3 wrt x?\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-291*r**2 - 3361*r - 3358*r + 6715*r)*(3 - 3*r**2 - 3).\nAnswer: 873*r**4 + 12*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3. Let u(p) = 2. Let j(l) = 3*h(l) - 4*u(l). Let y(n) = 3*n + 6. Determine 6*j(z) - y(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54488 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 327, 328, 327, 324, 319, 312, 303?\n\"Answer: -c**2 + 4*c + 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/35 + (-103)\/(-7). Let l = c - 11. Suppose -4*x + 32 = 3*b, -2*b + l*x = -0*b - 48. What is the lowest common multiple of b and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195495100 rounded to the nearest 1000000?\nAnswer: 195000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21 times -14152?\nAnswer: -2971.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -5*a - 3. Let j be q(-10). Suppose -4*d - 31 + j = 0. Solve -5*w + p = 7, -3*p = w - 5*p - d for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-348)\/84 + 4)\/(2\/6)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -48148*l - 96284. Calculate c(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -0.2, 6, 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 17258.625 minutes?\nAnswer: 11.98515625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 8) to base 3.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 3*y - 18. Suppose -2*b + 3*u + 26 = -u, 5*b + 4*u = 51. What is the remainder when y is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/54*18\/12?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u - 7. Let p(h) = -h**2 + 10*h + 2. Let s be (40\/(-12))\/(2\/(-6)). Let j be p(s). Suppose t - j = 3. Determine i(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 7*j - 12 = 2*p, -16 = -4*j for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 318908 and 318913 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/5)*l**(-1\/2)*l)\/(l**(-18)\/l*l**(1\/20)) assuming l is positive.\nAnswer: l**(393\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 + b**3 - 163 - 25.\nAnswer: b**3 - 144","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 9aa90 (base 14) to base 4\nAnswer: 1123213212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 11*f**2 - 4*f. Let n(j) = -142*j + 265*j - 122*j. What is 4*n(q) + v(q)?\nAnswer: 11*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 6*w**3 - 5*w**2 - 2*w - 2. Let x(m) = -m**3 - 2*m**2 - 1. Determine i(y) - x(y).\nAnswer: 7*y**3 - 3*y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 391 + 1153 = 3*y, 0 = 5*y - 3*i - 2580. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -463112, -463123, -463130, -463133, -463132, -463127?\n\"Answer: 2*z**2 - 17*z - 463097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of d**5\/20 + d**4\/6 - d**3\/2 - 2*d**2 - 399*d. Let h(l) = -l**3 - l**2 + l + 1. Give 2*h(v) + y(v).\nAnswer: -v**3 - v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*r - 9 = -0*p, 0 = 4*p + 4*r - 12. Suppose -p*s = 4*s - 96. Let m = s + 69. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.3, 37385772.\nAnswer: -3, -0.3, 37385772","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 596*v + 2448 = 60*v - 149*v - 19472 for v.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1989514, -7958087, -17905710, -31832383, -49738106?\n\"Answer: -1989525*k**2 + 2*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36841339 to the nearest integer?\nAnswer: 6070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 3*t**2 + 2*t. Let b(a) = 2*a**2 + a + 1. Let c be b(-1). Suppose 2*i - 4 = c. List the prime factors of z(i).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 c when three letters picked without replacement from {z: 5, k: 1, f: 1, p: 2, c: 1, q: 5}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 5*o**3 + 3*o**2 + 5. Suppose -2*t = -m - 3, t = 2*m - 3 - 0. Let s(p) = -11*p**3 - 5*p**2 - 9. What is m*s(g) + 5*f(g)?\nAnswer: -8*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-72)\/27*3*1. Is (10\/(-3))\/(c\/12) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 19 = -7*t + 4*t, -3*x = 2*t - 9 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -4*h**2 + 4*h + 4. Determine v(-4).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -39*f**2 + 3*f - 38*f**2 - 43*f**2 + 125*f**2 + 19 - f**3. Determine m(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = c + 2 + 1, -5*c - 3*b = -9. Suppose 2*h + 1 - 9 = c. Suppose 53 = -3*u + h*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005579463 to 7 dps.\nAnswer: 0.0000558","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -139547*o**3*p*y**3 - 46*o**3*p*y + 2*o**2*p*y**3 - 3*o**2 - 195180*o*p*y**2 wrt o.\nAnswer: -837282*p*y**3 - 276*p*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/(-20))\/(104\/260)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/3993 and -43\/44.\nAnswer: 15972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 951*k + 6360. Calculate b(-6).\nAnswer: 654","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -134 - -406\/3. Determine f, given that -2\/3*f**3 - b*f**2 + 0*f + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 793351896 to the power of 1\/2, to the nearest integer?\nAnswer: 28167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42756 or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1014 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fhhfhfhhhfhhhh. What is prob of sequence hff?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7480 and 19049690?\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 - 60430*q + 182589245.\nAnswer: 5*(q - 6043)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a - 13*a**2 + 2*a - 8*a.\nAnswer: -13*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52.52571 minutes to days.\nAnswer: 0.0364761875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 20 = 5. Suppose -5*r + 4*m + 68 + 27 = 0, m = 0. What is the remainder when 174\/3 - (-15)\/c is divided by r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 6*q = -130. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25332567 by 19.\nAnswer: -1333293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1450, 2\/3, 1, 4, -3\/4, -190 in increasing order.\nAnswer: -1450, -190, -3\/4, 2\/3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47\/5, 3, -2, 12, 4 in increasing order.\nAnswer: -2, 3, 4, 47\/5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 6*(-2 + 6*-2*sqrt(3))**2.\nAnswer: 288*sqrt(3) + 2612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 6:30 AM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 847*d**3 - 132*d - 33. Let w(a) = -53*a**3 + 8*a + 2. Calculate -4*o(p) - 66*w(p).\nAnswer: 110*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4390 - 4390.4. Let k = -0.09 + -0.71. Sort 1\/2, 3\/8, k, m in increasing order.\nAnswer: k, m, 3\/8, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -88.7 + 89.7. What is the closest to -1 in -2\/11, b, 0.2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1726 and 562802861.\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4518882 is divided by 4029.\nAnswer: 2373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1272 = -11*f + 64*f. Calculate the remainder when 238 is divided by f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 10 = -4*w. Let j(l) = 7*l**3 - 12*l**2 + 7*l - 5. Let f(q) = -6*q**3 + 11*q**2 - 6*q + 4. Let c(o) = w*j(o) - 6*f(o). Give c(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 256 + 180. Let w(s) be the third derivative of -13*s**4\/6 - 2*s**3\/3 + s**2. Let m be w(-3). Calculate the highest common divisor of m and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1121, 3741, 8107, 14219, 22077, 31681?\nAnswer: 43031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 4*y + 26, 4*c + 0*c + 5*y - 104 = 0. Let o be c\/6 - 1\/3. Suppose 0 = u - o - 1. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a factor of 12670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 r when two letters picked without replacement from yrryyy?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -37b9a (base 13) to base 12\nAnswer: -4b774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -24907?\nAnswer: 74721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 5 (b) -2 (c) 1\/51 (d) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -14167142 (base 9) to base 15\nAnswer: -937b15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((3887\/78)\/(-23))\/(2\/(-12))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 63.4925l?\nAnswer: 63492.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 192 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + -11. Suppose 0 = 3*v - x + 7, -v + 0*v - r = x. Suppose -2*d = d + 3. Put v, d, 4 in descending order.\nAnswer: 4, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4495297?\nAnswer: 4495297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + -4 - -3)*1. Suppose r = -i - 5*f, 2*f + 8 = -0*f. Is i a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 838\/(-64) - (-1547)\/119?\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-17 - 0)\/(3\/(-6)). What is the highest common factor of q and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m + 2. Let f(y) = -y**3 + 6*y**2 - y. Suppose 0 = 2*d - 0*d - 12. Let h be f(d). Let n = h + 1. Determine z(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*q = 204*q - 206388. What is the highest common factor of 49 and q?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5715 and 5295.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4 = -u, 2*u - 1 = 2*z - z. Suppose 8 = i - 7. Let c = z + i. Solve 2*g + c = -4*r - g, -5*r - 9 = 4*g for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 5*o - 1. Let i be r(5). Suppose 0*t - 14*t + 56 = 0. Let c = i + t. Solve -c*q = 2*s - 4*s, 0 = -q + s + 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-12)*(15 + -12). What is the second biggest value in 1\/7, p, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 154 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -719*b**2 - 7*b + 7. Let v(n) = 719*n**2 + 6*n - 6. Calculate -6*g(t) - 7*v(t).\nAnswer: -719*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 5*u - 79003, 3*s - 3924 = -u + 11870. Suppose -d = x - u, -5*x + x + 79012 = 5*d. Round d to the nearest one thousand.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39923544253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -2541286.\nAnswer: -2541283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 73, 129, 183?\nAnswer: 235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 5*h - 15 = 0, -5 - 7 = 3*h. Let a be (-1)\/((-1)\/20) - t. Let w = 10 + a. Calculate the remainder when w is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37506097103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3561.0305 - -3562. Round a to two decimal places.\nAnswer: 0.97","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 r when three letters picked without replacement from {c: 6, p: 2, r: 5}.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 401155 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 295199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*k + 11, 20 = -4*w + 3*k + k. Let r be -3*w\/9*-3. Let d be 1 - r - (-1 - 8). What is the greatest common factor of d and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.02 - 0.02. Let r = v - 2. Let z = r - 2.00000008. What is z rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5070 divide 629902362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85562693 is divided by 732?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4768 - 4767.9. Which is the closest to m? (a) 0.1 (b) -5 (c) 0.5 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 93\/4 - 95\/4. Let b = 574\/429 + -2\/429. What is the closest to g in -2\/9, 1, b?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 0 + 2*c**3 - 3)*(-52*c + 20*c + 34*c + 3) in the form x*c**2 + t*c**3 + q*c + z*c**4 + f and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/20*-4 + (-968)\/2620. Let u = v + 91\/1310. Let z = 0.04 - 2.04. Which is the closest to -7? (a) 0.3 (b) z (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 2:19 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -443809\/27 + 16440. Let r = -27152\/11 + 570236\/231. Find the common denominator of r and w.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8337 + 14187. Is 52 a factor of y\/(-36)*16\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 1218 = -2*w, 2*j - 393 = 3*w + 204. Suppose -131*o = 3*v - 133*o - j, 5*o = -5*v + 480. Round v to zero dps.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -5*v - 19, -3*h - 5*v - 16 = -h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, k: 5, r: 1, p: 4}. Give prob of picking 1 d, 2 k, and 1 p.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 34. Solve 5*g + m = -r, -3*g + m = -0*m + 4 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + s - 3*s)*(2*s**2 - 2*s**2 - s**2) - 4*s**3 + 2*s**3 + s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5775 and 17330250.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pmdfdmaapmppmmpmdmpd. What is prob of sequence papf?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*k - 18. Let f(u) = 39*u - 1. What are the prime factors of f(k)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 2*i, 24 = -3*f + 5*f - 4*i. Let u be (-461)\/(-36) + f\/6. Let o = u + -11\/9. What is the common denominator of -59\/7 and o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine sixths of a millennium in months?\nAnswer: 98000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -163 - 620?\nAnswer: -783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 504242*g**2 - 15114*g - 1 wrt g?\nAnswer: 1008484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3010 (base 6) in base 7?\nAnswer: -1623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -163526*h**5 - 15*h**4*i**2 - h**2*i**2 - 6*h**2*i - 2*h*i + 104172*h + 2*i**2 wrt h.\nAnswer: -9811560*h**2 - 360*h*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5915 + 5901.654. Let c = 8.31 + j. Let w = 5 + c. What is w rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 46271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**2 + c**2 - c**2 + (3 + 3 - 5)*(1 - 1 - c**2) - 3*c + 3*c + 2*c**2 + (1 - 2*c**2 - 1)*(0 - 1 + 0) - 2*c**2 - c**2 - c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 + 2*n**2 - 3*n**2)*(-5*n - n + 4*n + (4*n - 5*n - 2*n)*(1 + 1 - 4) - 1 - n + 1 - 4*n + 5*n - 2*n + (-3*n + 5*n + 0*n)*(-1 + 1 - 3)).\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 313451759 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccu when three letters picked without replacement from {u: 4, c: 4, v: 6}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8486, 16975, 25462, 33947, 42430, 50911?\n\"Answer: -m**2 + 8492*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.085 and -62682616.\nAnswer: -62682615.915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 13 + 12 + 115*h.\nAnswer: 115*h - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 3*s = -25. Let t(i) be the second derivative of i**3\/3 - i**2\/2 + 5*i + 1. Give t(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uzlluuuyu. What is prob of sequence zu?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -9*n**2 - 258*n - 671. Let c(d) = -2*d**2 - 52*d - 134. Let o(r) = -11*c(r) + 2*y(r). Suppose o(w) = 0. Calculate w.\nAnswer: -11, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 641*j**4 - 1296*j**4 + 634*j**4 - 2 + 2*j**4 + 2 + (2 + j**3 - 2)*(-j + 2*j + j) - 1 + 1 - j**4 to v*j**4 + b*j**2 + i*j + w + k*j**3 and give v.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13045730 divided by 10.\nAnswer: -1304573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o - 12 + 4*o + 7. Let f(b) = 77*b - 199*b + 44*b + 84*b - 14. Calculate -5*f(a) + 14*g(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, 0.08, -10, -0.1, -16\/185?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 174 - 171. Sort 0.5, u, 0.4, 1 in decreasing order.\nAnswer: u, 1, 0.5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-5)\/v*v*v**(2\/11)*v*v*v\/v**(-5\/3)*(v\/(v*((v*v\/v**(-2))\/v)\/v*v)*v)\/v*v)**(-34\/5))**11 assuming v is positive.\nAnswer: v**(2414\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/2)\/(p\/(p**(-9\/2)*p))*(p*p**(2\/39)\/p)\/(p*p**(3\/4)) assuming p is positive.\nAnswer: p**(-889\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.563 rounded to 1 decimal place?\nAnswer: 8.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5 - -6) + -3)*(-1 - 1). Let m(t) = -t**2 + 2*t + 1. Let r be m(2). Let g be 1\/(-1) - (a - (r - 2)). Which is bigger: -2 or g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 22 = -18. Put 1\/3, y, 0.2 in ascending order.\nAnswer: 0.2, 1\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 + 19 = -4*p + 15, 4*p + 9 = -11*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -8*-822984\nAnswer: 6583872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28588 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.091 * 530.\nAnswer: -48.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1096 divide 201507272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from liwqwzr. Give prob of sequence zrwq.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -43237 at most as big as -43224?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/12 and -56\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1.7+16.709\nAnswer: 18.409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 141942 = -5*o + 52030, 3*b - 116367 = -3*o. What is the ten thousands digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6534)\/(-29403)*(-90)\/(-44).\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -523 - -356. Let x = h + 188. Solve -5*l - 16 + x = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrmr when four letters picked without replacement from rrrmrrrrrrrrr?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8a (base 11) in base 5?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 830?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of -p**4\/8 - 5*p**3\/6 + p**2. Let r be n(-3). Solve 3*i + 2*u - 15 = -r, 0 = 2*i - 5*u - 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 2*f**2 - 5*f - 3. Let r(b) = -b**2 - 3*b - 3. Let w be r(-3). Is v(w) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -u**4\/12 + 844*u**2. Let z(v) = 1738*v. Determine z(d(f)).\nAnswer: -3476*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1857 is divided by 201?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-186)\/(-42) + (-3)\/7. Suppose -6*g + k = -8*g. Let p(i) = 6*i + 3. Give p(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -37 - (1\/(-4) - 24\/32). Let j = k + 22. Do -13 and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 694825768?\nAnswer: 2, 7, 13, 17, 23, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t - 51 + 15 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -78295, -313246, -704823, -1253020, -1957831?\n\"Answer: k**3 - 78319*k**2 - k + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2478 is divided by 54?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 125 = 5*z - 75, 20*a - 20 = 2*z for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, 4, -0.24, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11, -2, -43, -112, -209, -334, -487?\n\"Answer: -14*j**2 + 29*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 12*m**2 + 6*m + 94. Let d be i(13). Solve -5*u + 27 = -4*j, d*u + 5*j + 9 = u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -4*u + 3*i - 40, 0 = 4*i + 8. Let g be -3*(-3)\/u*-10. Calculate the highest common divisor of g and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7908 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: Let t = -382 - -382. Solve -3*v + 3 = k, t*v + 3*v + 2*k - 6 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9861.6 + 9751. What is the biggest value in -4, w, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8149 and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 3*n - 5. Suppose -s + 0*s = 2*i - n, -2*i - 2 = 0. What is the third derivative of s*o**2 - 10*o**2 - o**2 - 4*o**3 wrt o?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-9)*z*z*z**(-2\/31))\/(z*z*(z\/z**(5\/6)*z)\/z*z*z*z*z**(-1\/4)) assuming z is positive.\nAnswer: z**(-4457\/372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*g**2*o - 158*g**2*w + 24*g*o*w + 2*g*o - 364*g*w - 114*o*w wrt o.\nAnswer: 3*g**2 + 24*g*w + 2*g - 114*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + -2)\/2*-5. Suppose -u = 5*o - 173, -m*o = 2*u - 3*o - 338. Let n = u + -117. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 3, k: 2, v: 3, s: 3, z: 2, x: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -2211?\nAnswer: 2210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.9852917 and 1541662.\nAnswer: 1541660.0147083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/15))**44\/(h\/(h*h**(1\/3)*h*h))**25 assuming h is positive.\nAnswer: h**(321\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 1674136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3379 and 112809.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -834 - -1914. Does 93 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1*-2*sqrt(1573))**2*4*-2 + -1.\nAnswer: -100673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-277*c + 21688 - 173*c - 21688 - 51*c)*(c**2 + 0*c + 0*c).\nAnswer: -501*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 55956853969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*y - 4*y + 5*t - 100, -2*y + 3*t = -28. Suppose 21*b - y*b - 5 = 0. Solve 0 = -2*o - b + 13 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 338 and 15041?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 6 = -d, 1895*d - 2 = -4*u + 1894*d for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 149\/6 - 24. Let m(d) be the second derivative of 0 + 2*d + 5\/2*d**2 - r*d**3. What is the derivative of m(t) wrt t?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -144 + 138. Let f(d) = -d**2 - 18*d - 12. Does 4 divide f(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - r - 455, u + r - 26 = 131. Suppose -1324 = -7*d + u. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 + 3)*(-43 - 17*k + 43) + (-2 + 3 - 2)*(-k + 5*k - 2*k) + 0 + 0 + k - 2*k + 5*k - 4*k + (k - 6*k + 2*k)*(-6 - 2 + 1).\nAnswer: -134*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5+10696213164343\nAnswer: 10696213164338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14445820?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-26.400757.\nAnswer: -79.202271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 0*f + f)*(5*f - 5*f + 2*f + (-1 - f + 1)*(-10 + 2 - 3)).\nAnswer: 39*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 355 - -155?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/2)\/((-3)\/2)*-3. Which is the biggest value? (a) k (b) 0.5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 1)\/(0 - 1\/(-121)). Let y = r - 120. What is the closest to y in 0.4, 8\/3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 36573 = 4*v, -2*b + 73188 = -113*v + 111*v. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -408*z + 15 = -413*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -578, -415, -218, 7, 254?\nAnswer: 517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u. Let x(t) = 6*t + 3. Let k(v) = -5*n(v) - x(v). Let s be k(-7). Solve s = -0*j + j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -76*y**2. Let f(h) = 2*h**2. Calculate f(w(z)).\nAnswer: 11552*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 854 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -297 - 292 + 33*p + 879 - 284 in the form j*p + i and give j.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, i: 6}. What is prob of picking 1 i and 2 d?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 561.2746cm to nanometers.\nAnswer: 5612746000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(27)*-3)**2.\nAnswer: 72*sqrt(3) + 259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/((sqrt(64) + sqrt(4))\/sqrt(2) - sqrt(2)) + (3*sqrt(11)*-1 - sqrt(11))*-3)*-6.\nAnswer: -147*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-12)\/15)\/(-1))\/((-18)\/(-135)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 106860*m**4 + 4*m**3*n**3 + 155897*m**2*n**3 + m*n**2 wrt m.\nAnswer: 2564640*m + 24*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 a when two letters picked without replacement from kkakeeakkkkkaakk.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36 - (64 - -41)) + 73 + (0 - (105 + 0)).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*l + 124 = 740 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56811829 to the nearest integer?\nAnswer: 7537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of z**3\/3 + 5*z + 11. Let q be v(0). What is the greatest common divisor of 50 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 82348701?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ijii when four letters picked without replacement from {j: 14, i: 1, t: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43\/15 - 16\/5. Suppose -8 = 3*d - 2. Is d greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 2*y + 60 - 0, -3*y + 63 = 3*p. Let c(k) = -k**3 + 18*k**2 + k - 12. Calculate c(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5308583*p**3 - 2*p**2 + 3885*p - 275.\nAnswer: -31851498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5784 + 9816. Suppose 17*w - 13*w = g. What are the prime factors of w?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 262 + 3*g**2 - 2*g**2 + g**2.\nAnswer: 2*g**2 + 262","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a tonne in kilograms?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1222 + 106.5534763\nAnswer: -1115.4465237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qawaeeqqeqii. Give prob of picking 2 q and 1 a.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1537685939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 480 + -479.995608. What is d rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021111110 + 122?\nAnswer: -1021110211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (0 - (6 - (21 + -8))) - 70?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 10:54 AM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-9))\/(4\/16). Let 8\/3 - d*z + 2\/3*z**2 = 0. Calculate z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/6)\/(7\/(-2))*4. Is b < 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 13 (b) -27\/184 (c) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*p - 4 + 1070 = 166 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(99) - (1 + sqrt(99))) + 2)**2 + (sqrt(99) - ((sqrt(99)*-2 + sqrt(99))*-1 - sqrt(99))**2).\nAnswer: -1 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32401\/23 at least as big as 1410?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24\/135112775 or 0?\nAnswer: -24\/135112775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -5*g + 12. What is a(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8, 19, 30, 41, 52, 63?\n\"Answer: 11*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*k + 22*k - 32 = -4*i, -2*i - 14 = 4*k. Factor 0*f + 11*f**3 + 4*f + 8*f**2 - f**3 - 6*f**i.\nAnswer: 4*f*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1064 - 971. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27536 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -3, 2\/5, -0.2, 4\/3, 0.7911?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of 0*z + 16 + 1\/5*z**4 - 2\/5*z**2 + 14\/25*z**5 - 14\/15*z**3. Suppose v(f) = 0. Calculate f.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44986 to the power of 1\/2, to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c**7*c*c)\/c))**(-16\/9)\/((c\/(c\/(c*c**(-7)*c)*c)*c)\/(c\/(c**13\/c*c*c)*c)) assuming c is positive.\nAnswer: c**(49\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 168754 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1582 + 3157?\nAnswer: 4739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -160538*n**2 + 126835.\nAnswer: -321076*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -269*p + 313. Let q = 287 - 282. Let c(g) = -537*g + 624. Let m(n) = q*j(n) - 3*c(n). Differentiate m(f) wrt f.\nAnswer: 266","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18017311 to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 4.61 (b) 0 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 + 21. Let o = -10 - l. Solve 40 = -5*q - 5*b, o = -3*q - 2*b - 13 - 8 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -258180 to the nearest 10000.\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7909 - -7909.030304. Round d to three dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3315 - -6926. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 25 = 3*v, 525*h + 25 = -2*v + 518*h for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*5)\/(6\/(-576)*-80)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m\/(m*m**(2\/9))*m)\/m**(-1\/3))**(8\/11))**(1\/42) assuming m is positive.\nAnswer: m**(76\/2079)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w + 1. Let c be u(0). Calculate the smallest common multiple of 7 and 15\/10 + c\/(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**2 - 2*b**3 + 3*b**2 + (2 + 12 - 2)*(-2*b**3 - 5*b**3 + 5*b**3).\nAnswer: -26*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 4:54 AM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/11*f**2 + 48\/11*f - 216\/11.\nAnswer: -2*(f - 18)*(f - 6)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 122*l + 254. Let c be g(-2). What is the nearest to -0.1 in c, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104780104.\nAnswer: 2, 11, 13, 91591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 763 divide 37434341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*x + 6. Suppose 3*k - 494 = x. What is the highest common divisor of k and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2391 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -6*z + 2. Let i(l) = -5*l. Calculate 5*i(x) - 3*v(x).\nAnswer: -7*x - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.202 or 2\/5?\nAnswer: 0.202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(227867\/1074 + 7\/3)\nAnswer: -2\/143","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.1329 plus -0.3?\nAnswer: 2.8329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6612213 is divided by 101726.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -185.1 + 185.2. Which is the nearest to -2\/25? (a) -6 (b) j (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 9 = -2*r, 10*j = 13*j - 3*r - 9 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -3*d + 5*k, -5*k = -18*d + 13*d + 55. Let s be 16 - (-4 - (-54)\/d). Let p(v) = -v**2 + 13*v + 9. Calculate p(s).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 772\/3069 + 82\/279. Factor -o*d**2 + 2\/11*d**3 - 18\/11*d - 10\/11.\nAnswer: 2*(d - 5)*(d + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31899100 rounded to the nearest one hundred thousand?\nAnswer: 31900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17354 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 69009, 69022, 69041, 69066, 69097, 69134, 69177?\n\"Answer: 3*k**2 + 4*k + 69002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 4*h + 12. Let z be n(0). Calculate the highest common divisor of 24 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, -3, -17, -45, -93, -167?\nAnswer: -273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 12:36 AM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m**2 + 4*m**2 + 11*m**2 - m**2 + 4*m**2 - m**2 - m**2 + 0*m**2 + 2*m**2 + (3*m**2 + m**2 - 2*m**2)*(4 - 3 - 3))*(-2*m + 2*m + m**3).\nAnswer: 9*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1642\/725 not equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 11*k + 1. Let t be (-24)\/(-84) + 18\/(-14). Let l be (-12 - 0)*-1 - t. Let u = l - 14. Determine p(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 659411582 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1209)\/(-27) + -7*(-8)\/252 is divided by 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75, 196, 403, 738, 1243, 1960, 2931, 4198?\nAnswer: 5803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 215514794?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 167210 and 9430.\nAnswer: 6855610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 - (-198)\/(-12))*-26. Calculate the greatest common factor of i and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-2)*(0 - -9). Suppose 0 = -5*t + m*t + 20. What is the remainder when 34 - ((-2)\/1 - t) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-60)\/(-1 + 5 - 5). What is the greatest common divisor of 30 and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (98\/70)\/((-1)\/(-12)*(1 - 4))?\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1002221 (base 3) to base 5\nAnswer: 11213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 113, -4, 153 in decreasing order.\nAnswer: 153, 113, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/2001098 and -1\/32.\nAnswer: 32017568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -16*3*(-2)\/(-96)*-4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/(-12)*(-9)\/(270\/5).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2*b + 5 = 0. Let x be b + 62\/4*2. Suppose 6*h + 62 = 92. Solve 0 = h*j + 5*w - 0*w + x, 0 = j + 3*w + 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -6. Suppose 4*i + 32 = 2*w, 0 = 4*w - 2*i - r - 51. What is the remainder when w is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 1, 4\/253?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(sqrt(11)*-1 - sqrt(11)) + sqrt(80) + -2)**2 - (5 + sqrt(20)\/sqrt(64))**2.\nAnswer: -33*sqrt(5)\/2 + 639\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqiieqeqi. Give prob of picking 3 i.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 5*d**2 + 2. Let l be m(-5). Suppose 282 = 4*c - l*k, 3*k = -4*c - 0*c + 307. List the prime factors of c.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sc when two letters picked without replacement from {f: 1, d: 1, h: 1, c: 1, s: 2, j: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 2969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25992 and 171.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 15 - 10 + (2 - 1 + 1)*(0 + 1 + 0) + 3 - 2 - 3 + 0 + 1 + 1)*((-1 + 0 + 3)*(1 - 1 - 2*h) - 8*h - 3 + 3).\nAnswer: -72*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*x**2 + 32640*x*y - 2968255*y wrt x?\nAnswer: 10*x + 32640*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (208\/(-260) + (-52)\/(-15))*3\/(-28).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.187 * 0.14611.\nAnswer: -0.02732257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.91 + -0.09. Let p = 0.1 + 4.9. Let g = p + n. What is the third smallest value in 2\/3, g, 0.1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4655 divided by -245?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8231800*k**2 + 569061*k - 3 wrt k.\nAnswer: -16463600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44744)\/(-57120) + (-1 - (0 - 0))*1\/4?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -0.076, 0, -435?\nAnswer: -0.076","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 5, u: 2, j: 1, q: 3, s: 2, v: 6}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5400900*c**3*k*t + 630140*c**3 - 4*k*t + k wrt t?\nAnswer: -5400900*c**3*k - 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 10 - 2. What are the prime factors of -2*((-11)\/r + 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*-2*4\/((-96)\/60).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**4 + 2*i - 2*i)*(-1 - 4 + 4)*(3 - 11 - 10)*(-14*i + 58*i + 12*i).\nAnswer: 1008*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*i + 2*i. Let n be (3500\/1)\/(i\/(-10)). Round n to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -131a (base 11) in base 16?\nAnswer: -6b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**5\/2 - 71*r**4\/3 + 614*r**3\/3 - 497*r**2 - 655*r\/6 + 1850\/3 = 0.\nAnswer: -1, 4\/3, 5, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -p + 1. Suppose -u - p*u - 10 = 0. Let b be ((-3)\/u)\/((-3)\/4). Is b at most as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66364, -66345, -66326, -66307?\nAnswer: -66288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (0 - (-4 - -1)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of q**5\/30 + 5*q**2. Let l(y) = -48*y + 22*y + 4*y**2 + 26*y. What is f(l(o))?\nAnswer: 32*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(2057)*-1.\nAnswer: -11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221 = -5*g + 61. Let y = 12 + g. Let x = y - -12. Is -6 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 9:49 AM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 6*r**2 - 8*r - 5. Let t be n(-7). Let o be 1\/2 - t\/4. Solve -3*f - 6 + 21 = o for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021 - -1020011?\nAnswer: 1011220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -20, 0, 20, 40, 60, 80?\n\"Answer: 20*d - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 668300455 to the power of 1\/3, to the nearest integer?\nAnswer: 874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a tonne in kilograms?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-2))\/(1\/39). Let d(l) = -46*l - 2788. Let m be d(-64). Calculate the highest common divisor of j and m.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 - 23. Let x(u) = 8*u + 2. Let r be x(c). Differentiate 6 + r*l**3 - 9*l**3 + 3 with respect to l.\nAnswer: 27*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 735.4597 centimeters to micrometers.\nAnswer: 7354597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 305 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 2*m + 550, -5*b - m - 677 = -10*b. Calculate the greatest common factor of 102 and b.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20428762 is divided by 1447?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 3. Let z be 2 - (-2 - b*2). Suppose 17 = i - z*l - 3*l, 3*i = -l + 35. Calculate the highest common factor of 108 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3415840?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 450404 and 12.\nAnswer: 1351212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 3*a**2 + 4*a + 3. List the prime factors of q(-5).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 965*x + 6877 + 10464 = -10644 for x.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cke when three letters picked without replacement from {j: 3, s: 6, e: 2, k: 1, c: 1}?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*o - 8 + 12 - 32*o**4 - 6 + 80*o**3 - 66*o**2.\nAnswer: -2*(o - 1)**2*(4*o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4530766 less than -21408646?\nAnswer: -16877880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) 38 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 13.22790872 * -1\nAnswer: -13.22790872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*t + 1431 = -208*t + 5043 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/sqrt(3))**2 + -1.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 0.07, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213345463.\nAnswer: 1321, 161503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 + -36. Let j be 897\/46*(r - (-14)\/(-18)). Suppose -2*k = 0, -4*w + 4*k = -7*w + 15. Is w equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, k: 2, s: 2}. What is prob of sequence kshs?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 13713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of r**6\/50 - r**5\/75 + 5*r**3\/6 - 9*r**2. Let s(j) be the first derivative of w(j). Factor s(q).\nAnswer: 4*q*(9*q - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) -3 (b) 1.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1118*w - 25538 = 30362 for w.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 2)*4 + 6. Let h(t) be the second derivative of 0 + z*t + 0*t**2 - 1\/54*t**4 + 0*t**3 + 1\/90*t**5. Factor h(b).\nAnswer: 2*b**2*(b - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31 + 57 - 27) + (2 - 9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -21081478 divided by -122\nAnswer: 172799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -354 - -353.327. Let m = 0.6341 + k. Round m to 3 decimal places.\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -110.22 - 1.78. Let n = -44 - d. Which is smaller: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = o + o. Let g = -21 - o. Let x = g + -18. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11777 - -259153\/22. Find the common denominator of -49\/9 and t.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5494091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.09? (a) 65 (b) 3 (c) 3\/2 (d) 29\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 13 = 3*p + d, -2*d + 5 = -5*p. Let s(q) = -4*q**2 - q + 2. Let x(r) = -r**2 + r + 1. Let a(u) = p*s(u) - 2*x(u). Determine a(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -16*a + 11\/2*a**2 + 1 + 7*a**3. Let o(u) = 4*u**2 + 2*u - 3. Let d be (-54)\/(-5) - (-11)\/55. Give d*o(n) - 2*c(n).\nAnswer: 2*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -9. Let n = -4.94 - 0.06. Let d = n + 8. Which is the second biggest value? (a) 4 (b) d (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 12:15 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 divided by -13?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -376 + 61 = -9*q. Suppose -17 = -2*u + 53. Do q and u have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 76 + -27. Let y(k) = -c + 49 - 2*k. Let z(q) = 4*q - 5*q + 0*q. Give y(z(p)).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199560?\nAnswer: 2, 3, 5, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22078*m**3 - 74*m - 38479535.\nAnswer: 66234*m**2 - 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-18))\/5*12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -15 + 1\/4*n**4 + 2*n**3 - 9\/2*n**2 - 10*n. Give d(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1696, -3387, -5088, -6799?\nAnswer: -8520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34 and 220082.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.5 - 26.5. Let f = -1154.546 + 1177.54642. Let d = t + f. Round d to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**11*l*(l*l*l*l\/(l\/l**(-13)*l)*l*l)\/l)\/(l*l**3)**(-3\/13) assuming l is positive.\nAnswer: l**(38\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10561 + 185?\nAnswer: -10365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 675 divide 16278300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -397243, -397242, -397241, -397240?\nAnswer: -397239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/((b*b\/((((b*b**(1\/4)*b)\/b)\/b*b*b)\/b))\/b))\/b**(-4)*(b\/(b**0\/b))**23)\/(b**(-1\/5)*b**(-3)*b**(1\/4)\/b**(-3)) assuming b is positive.\nAnswer: b**(261\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*x - 32*x + 27 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 6)*(-2 + 2 - 1)*(-j**4 + 9*j**4 - 3*j**4) + 6*j**4 - 3*j**4 - j**4.\nAnswer: 17*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - m = -11, 5 = 5*b - 4*b + m. Suppose 3*o + 5 = -v, 2*o = v + b*v - 18. Factor 3\/4*x + 3\/4*x**5 + 0 + 0*x**v + 0*x**2 - 3\/2*x**3.\nAnswer: 3*x*(x - 1)**2*(x + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 1015 = -290. Let b = r + -75. List the prime factors of b.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**2 - h + 3. Let l be z(-2). Let x be 0\/(l\/3) - -2. Solve 3 + x = -y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(245) + -1 + 1 + -4)*-4.\nAnswer: -48 + 84*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.02, -83, 0.2, -6.87, -4.7?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 27\/(1620\/725) + (-405)\/108. Factor 23\/6*i**2 + b*i + 0 - 1\/6*i**3.\nAnswer: -i*(i - 25)*(i + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -602, -1195, -1788?\n\"Answer: -593*f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -5*u**3 - 2*u**2 + 4*u. Let p(b) = -b**3 - b**2 + b. Let n(k) = -4*p(k) + t(k). Let l be n(3). List the prime factors of (-52)\/((-3 - l)\/(-3)).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74, 136, 186, 218, 226, 204?\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*l + 32 = 4*i + 194*l - 99*l, 35*l = -3*i - 52 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 544 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*d + 17 + 94 = -27 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 561957084?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/4115936 and 103\/54208.\nAnswer: 57623104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 12:27 PM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003658 to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 3*i - 10 - 2, -d + 16 = 4*i for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*p - 19*p - 6. Suppose -14 = 4*z - 2. Let s = 9 + z. What is the least common multiple of s and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**22\/c))\/c**(-3\/7))**43 assuming c is positive.\nAnswer: c**(-5891\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 5*x**2 + 2. Let b be o(1). Suppose -5*l + 20 = 5*z, 4*l - 2*z - 16 = -b*z. Solve -4*f + 11 = 5*a + 4, -11 = l*f - a for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -276 + 287. Suppose 5*c + 3*x = 86, c + 6*x - 3*x = 22. Let w = c - j. Solve w*s - 3*k = 0, -2*k + 4*k - 22 = -4*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -j**4\/12 + 8*j**3\/3 - 61*j**2\/2 + 1710*j. Give t(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*w + 4*x - 64, 2*w - x = 38. Let f = w + -19. Let z be (-4 + 2)\/(2 + -3). Sort f, z, 0 in decreasing order.\nAnswer: z, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-126))\/((-1)\/(-7)*-4)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/3))**(1\/13)\/(j**6\/(j\/(j*j\/j**5))))\/((j**1*j*j*j)**(-43)\/(j*j**0)**(1\/45)) assuming j is positive.\nAnswer: j**(99433\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6827*x - 5 + 6819*x - 13754*x.\nAnswer: -108*x - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 147484886 to the nearest integer?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1020 + -13580?\nAnswer: -12560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + q - 1. Let i(m) = -6*m**3 - 2*m**2 - 2*m + 2. Determine 3*i(v) + 6*w(v).\nAnswer: -18*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, f: 17}. Give prob of sequence fff.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 23*p - 38. Let v(i) = -44*i + 77. Let z(u) = 9*k(u) + 4*v(u). Calculate the remainder when z(9) is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.3419 rounded to one dp?\nAnswer: -16.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 257.9 and -5.\nAnswer: -1289.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -355, -149, 203, 701, 1345, 2135, 3071?\n\"Answer: 73*o**2 - 13*o - 415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 2\/9 (c) -0.2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139, 536, 1199, 2128, 3323?\nAnswer: 4784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2005 in -17, 0.03, 4, 1, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 96 = 31*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -384.09 - -385. Let v = 3.91 - k. Which is the closest to -18? (a) v (b) 0.4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + o = 5*o - 16, 5*p + 7 = 4*o. Let a be (-1 - -8) + p + -2. Let g(c) = -3 + 9*c - 16*c + 2. Let s(b) = b. Calculate a*s(y) + g(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)*2)\/sqrt(12) + 2*sqrt(12)*-5)\/(sqrt(4) + sqrt(4) + (sqrt(28)\/(sqrt(7)*1) - sqrt(4)) + (1*sqrt(20))\/sqrt(5))*6.\nAnswer: -16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 24428302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, v: 4, z: 1}. What is prob of picking 1 v and 1 z?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 699 - 696. Suppose -4*x + 36943 = -43*g + 38*g, -36983 = -4*x - w*g. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5 (b) -16 (c) -3 (d) -0.7 (e) -0.2 (f) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3\/1216 (b) 1504 (c) 1 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = g - 5*b + 9, 2*b = 3*g + 22. Let a be -4 - (1 + (g - -1)). Solve 5*s - j - 2 = -4, a = -5*s - 2*j + 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - d = -34, o + 0*d - 42 = 3*d. Solve o - 32 = 4*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2399 is divided by 796?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 38\/3*t + 2\/5*t**3 - 572\/15*t**2 + 0 = 0. What is t?\nAnswer: 0, 1\/3, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from {l: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/3162 and 107\/42?\nAnswer: 22134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1550282 is divided by 342.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k**2 - 3*k**2 + 4 + 3*k + k**2 - 254*k**3 + 494*k**3 - 244*k**3 to n*k**2 + u*k + a + p*k**3 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8928120 and -0.3.\nAnswer: 2678436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**2*x**3 - 21768*h**2*x**2 + 40*h*x**3 + h*x**2 + 695*x**3 wrt x?\nAnswer: -6*h**2 + 240*h + 4170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 - -0.3. Let o = 0 - a. Let n = -224 + 222. Sort n, o, -3 in descending order.\nAnswer: o, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130848657167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/20 and 61\/(-26) + (-130)\/(-104).\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -l**6\/180 - 182*l**5\/45 - 725*l**4\/36 - 362*l**3\/9 + 337*l**2 - 4. Find p such that h(p) = 0.\nAnswer: -362, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v + 52. Suppose 12*s = 17*s - 145. Let u = s + -29. List the prime factors of k(u).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.25 in 1\/6, 0.1, -640?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 217 - 207. What is the remainder when (-4)\/2*34\/(-4) is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 9*k + 8, 4*k = g + 1 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1107? (a) 0.3 (b) 149\/2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*h**2 + 14 - 108*h + 84 - 2 - 3*h**3 = 0.\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/12 - 1\/(-6). Suppose c = -o*c + 8. Is c a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2370*a - 589 = 2351*a. Let r(f) = -f**3 - f**2 + 7. What is the smallest common multiple of r(0) and a?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -288?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 41732636*w**2. Let p(d) = d. Determine u(p(o)).\nAnswer: 41732636*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -3)\/(1 + 9 - (-96 + 150)).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 4*q**2 - 2. Suppose 3*b = 193 - 187. Let m(p) = -p**2 - 1. Determine b*m(s) - j(s).\nAnswer: -s**3 - 6*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 4*c - 4*f - 19, -2*c - 2 = -5*f for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 3*s - s = 17, 4*h - 2*s = 10. Let j be 29\/h + 2 + 4\/(-6). Suppose 0 = -j*b - 84 + 216. What is the least common multiple of 12 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-315)\/12)\/((-33645)\/(-8972))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10268 + -9762. What is the remainder when m is divided by 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66093, -132169, -198245, -264321, -330397?\nAnswer: -396473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 15445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1346, 142.\nAnswer: -1346, -2, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/2*(1 + -3). Suppose 0*j + 3*j - 12 = 0, 0 = 3*b - 5*j + 134. Let g be 2\/10 - b\/10. Solve t = -2*n + 18 - g, t - d = -n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-198)\/12)\/(-11))\/((-3)\/6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -34, -15, -11, -9, -6 in ascending order.\nAnswer: -34, -15, -11, -9, -6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -116 (base 8) to base 16\nAnswer: -4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7752 - 3?\nAnswer: -7755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -187 - -84. Let w = 104 + q. Which is the closest to w? (a) -7 (b) 0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/1190 and -87\/700.\nAnswer: 11900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6459484*a**3*v**2 - 5*a**3*v + 2*a**2*v + 7*a**2 - 125*a*v - 8*a wrt v?\nAnswer: 12918968*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3911261874 to the power of 1\/3, to the nearest integer?\nAnswer: 1576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -5*w**2 - 169*w - 883. What is u(-7)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 321*w**5 - 9485*w**3 - 795537*w**2 + 2*w?\nAnswer: 19260*w**2 - 56910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20421 + -20400. What is the greatest common divisor of 861 and v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45\/(-2430)*(-8)\/(-2)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 8*f**3 + 5*f**2 - 4*f + 2. Determine w(2).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25.785785 - -8.99936.\nAnswer: 34.785145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-5)\/3)\/(0 - (-10)\/(-18)). Suppose -16*m + n = -29. Is m >= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4\/49, -0.5, 1\/6, 2\/13, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -0*m - 3*m. Let c be 726\/m + (-39)\/52. Suppose 2*b = 2*t - 26, 6*t - t = -4*b + 110. What is the highest common divisor of t and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 14. Let j = 0.6483 - 0.1483. Sort 1, j, d.\nAnswer: d, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77336 times -0.1?\nAnswer: -7733.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6603*w + 1568949 = 8369*w + 416105 for w.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 12:28 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 74803 divided by 31\nAnswer: 2413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 501 = -4*d - 74*p + 135, 5*p - 10 = 5*d + 8*p for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (6 + (-572)\/66)\/((-4)\/6120*1) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/35)\/(((-16)\/4)\/(-40)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**24\/c**(4\/27))\/(c**(5\/8))**(-4\/39) assuming c is positive.\nAnswer: c**(16789\/702)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 1 - (38 - 30)) + -6 + 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18097, -36192, -54287, -72382, -90477?\nAnswer: -108572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -329*f = 237*f - 29*f - 6081 + 37764 for f.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -379332596*v**4 + 64308480*v + 4 wrt v.\nAnswer: -4551991152*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 384 + -383.7. Sort -76, -0.5, h.\nAnswer: -76, -0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -240*s + 27. Let p(j) = 18*j - 2. Let n(d) = 27*p(d) + 2*q(d). Let c(l) = 7*l**2. Determine n(c(k)).\nAnswer: 42*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1be + 4c5c0?\nAnswer: 4c78e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 14650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(980) - (sqrt(20) + sqrt(20)*-2)*-5)\/((1*sqrt(200))\/(sqrt(5) - -5*-1*sqrt(5))))**2.\nAnswer: 2048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*q**3 + 1835*q - 229*q**3 - 1835*q.\nAnswer: -275*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 + 3. Let p(w) = -2*w**2 + w - 4. Calculate 2*h(t) + 3*p(t).\nAnswer: -2*t**2 + 3*t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m + 24 + 8 = -12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/5 of a decade?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 - 10. Let n(z) = 11*z - 5. Let a be n(5). Let j = -25 + a. Calculate the remainder when j is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - 4*d - 1. Let h be c(-3). Differentiate -7*s + 3*s + 4 - h with respect to s.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -23. Suppose 2*a + a - 12 = 0. Find the second derivative of -2*c**4 + a*c + r*c**4 - 2*c**4 - 19*c wrt c.\nAnswer: 72*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 103*j**3\/3 + 28902. Let b(l) = 0*l - 2*l + l. Calculate f(b(y)).\nAnswer: 103*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2003212101 + 1?\nAnswer: -2003212100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - r - 1. Let t(s) = 13*s**2 + 29*s + 3. Let f(i) = 3*k(i) + t(i). Find the second derivative of f(y) wrt y.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/4044418 and 14\/941?\nAnswer: 4044418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -75*d - 333. Let r be m(-6). Solve -18 = -r*p + 123*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - g + g)*(-2*g + 2*g - 2*g) - 100*g**2 + 56*g**2 + 66*g**2.\nAnswer: 20*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1467*i - 36 = 1461*i. Let c(h) = 16 + i + 9 + 2*h - 25. Determine c(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 76 = 6*u - 9*u, 555*p + 5*u = 240*p + 3*u + 10072 for p.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**2\/5 - 656561*d\/5 + 1313118\/5 = 0.\nAnswer: 2, 656559","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -149*m**2 + 7*m + 547. What is v(-3)?\nAnswer: -815","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18859 is divided by 3108.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 4) + (7 - (0 + 7)) - (7 - 19)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 407\/(-44) - (-6)\/(-8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 741 and -27206.\nAnswer: -20159646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.3 times 0.3?\nAnswer: 2.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 450?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150*h - 150*h + 2*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eqmejfo. What is prob of picking 1 j, 1 e, and 1 q?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 44512521 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 10*f**2 - 955*f + 475 = 0.\nAnswer: 1\/2, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31937\/5806 + 2\/2903. Let b = -1 - -2\/3. What is the closest to b in 2, 2\/13, k?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -682 + 672. Let a(y) = y**3 + 11*y**2 + 11*y + 3. What is a(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5905 is divided by 986.\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/2 + 625*x\/2 + 313.\nAnswer: -(x - 626)*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**2 + 11. Let p = 41 + -41. What is the remainder when 18 is divided by c(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38500 and 43015?\nAnswer: 47316500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 4*c = 3*t - 9, -5*t - 55 = 5*c. Let y be (3\/c)\/(3\/(-6)). What is the greatest common factor of 7 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1288 a factor of 653310952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - 3*(-1 - -25). Let w = g - -111. What are the prime factors of w?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/21)\/((w**(9\/4)\/w)\/w) assuming w is positive.\nAnswer: w**(-29\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 48408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.569686ns?\nAnswer: 0.000000569686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l - 36 = 250. Suppose l*j + 110 = 21*j. What is the tens digit of j*(4\/(-6))\/(8\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 655.3 and 601.\nAnswer: 1256.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49)\/7 + 53\/106 + 26\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 39 = -505. Suppose 0 = -2*d + 4*f + k, 5*d + 4*f = -0*d + 270. Calculate the remainder when d is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2559 * 4\nAnswer: -10236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -4, 152, 2841, 2, -1 in ascending order.\nAnswer: -6, -4, -1, 2, 152, 2841","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 546910140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a meter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 3:11 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 965 and 903433.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from {c: 6, q: 4}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*x - 55*x - 1236 = 0. Let j = x + -77. What are the prime factors of j?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t = 4*r + 5*t + 32, -8 = -2*t for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, 35, -7.3, 6\/19 in descending order.\nAnswer: 35, 4\/3, 6\/19, -7.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 32*o. Suppose -16 = -9*g - 61. Let y(a) = -33*a. What is g*s(b) - 4*y(b)?\nAnswer: -28*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xhggxhxxx. What is prob of sequence xx?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 90 - 30 = 0. What is the smallest common multiple of 18 and j?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - 11. Suppose 10 = 3*j - 0*f - f, i = -3*j + 5*f. Suppose -5*p + j*c + 5 = 0, -2*p - 2*c = -0*c - 14. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of 0*w + 0*w**3 + 0*w**4 - 1\/60*w**5 + 11*w**2 + 0. Let i(t) = -t**2. Determine i(a(g)).\nAnswer: -g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/2*(-8 + 2). Let z(r) = r - 3. Let y be z(m). Solve 4*k + y*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 523216 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**3*r**3 + 2*d**3 + 27*d*r**3 - 30*d*r + 3*r**4 + 4 wrt r.\nAnswer: -6*d**3*r + 162*d*r + 36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6273571*n**3 - 2*n - 11479494?\nAnswer: -18820713*n**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 1931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1505436567 to the power of 1\/2, to the nearest integer?\nAnswer: 38800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 12 - 10. What is the least common multiple of n and 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3 = -3*s - 0, 3*s - 3*z + 6 = 0. Suppose 0 = 12*h - 11*h + s. What is the nearest to h in 5, -0.5, -0.07?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 619 + 544707 + 1 + 2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**4*j*j**1*(j*j**8)\/(j\/(j*j**(3\/2))*j))**(-40))**(-1) assuming j is positive.\nAnswer: j**340","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79, -159, -239, -319, -399?\nAnswer: -479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.3 - 102.\nAnswer: -110.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 6 + 18 = 0. Calculate the smallest common multiple of c and (0 - 0 - 6) + 39.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 415612964, 415612966, 415612968, 415612970?\n\"Answer: 2*h + 415612962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4 = -16. Let u = -0.6 - -1.6. Suppose 0 = 5*h + i + 17, -5*i + 25 = -4*h - 6. Which is the closest to u? (a) -3\/7 (b) n (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 0*h**2 + 3*h**2 + h**2. Let u(s) = 12*s + 68. Let t(x) = x + 6. Let g(k) = -68*t(k) + 6*u(k). What is o(g(m))?\nAnswer: 64*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 13 + 15. Solve -5*i + v = -2*o, -3*o - 4*i + 7*i = 24 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w + 17. Let i(j) = -4*j + 21. Let r be i(8). Determine t(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(-17 + 8*x + 17)*(1 - x**2 - 1).\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 not equal to 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1434463?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -3*w + 2*o - 38, 5*w + 3*o - 27 + 24 = 3*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/21)*((g\/(g\/(g\/(g*g**(4\/11)))))\/g)\/g*g)**(-2\/15))**(-15) assuming g is positive.\nAnswer: g**(-674\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/9*g - 38\/9*g**4 + 0 + 14\/9*g**5 - 2\/9*g**2 + 10\/3*g**3.\nAnswer: 2*g*(g - 1)**3*(7*g + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84479 is divided by 1979.\nAnswer: 1361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 842466543?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 105 + -41. Let x = -62 + p. Suppose 4*v + 2*n = n + 475, -x*n - 10 = 0. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2295\/54)\/(3\/732) + (-3 - -4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/5 (b) 62 (c) -1 (d) -130 (e) 40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 5682 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1050372 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2061168 to the power of 1\/2, to the nearest integer?\nAnswer: 1436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1425661543 - 10?\nAnswer: 1425661533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -b**8\/16 + b**5\/10 - 175*b**4\/24 + 237*b**2. Find the second derivative of q(a) wrt a.\nAnswer: -420*a**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, u: 6}. What is prob of picking 1 b and 1 u?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -6*z + 495. Suppose 5*f + z = 5*q + 7*f, 5*q - 4*f - 117 = 0. Calculate the highest common factor of 203 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 9*y**2 + 7*y - 5. Let o be a(2). Let v(l) = -65*l**2 + 45. Let t(x) = -2*x - 5*x**2 + 2*x - x**2 + 2 + 3*x**2. Calculate o*t(n) - 2*v(n).\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210220221010 + -12?\nAnswer: 210220220221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -5*g + 3*r, -3*g + 4*g + 3*r = -8. What is the nearest to -0.2 in g, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -103 (b) -123\/31 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -94 + 89. Suppose -9*u + 5*u = 248. Let y = -66 - u. What is the biggest value in 3, 1, k, y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -11.9. Which is bigger: -0.05 or b?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/466)\/(153\/(-714)). Which is greater: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9020, -9158, -9296, -9434?\n\"Answer: -138*i - 8882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + i + 1. Let j(r) = -8*r**2 - 16*r - 16. Give 3*j(v) + 48*m(v).\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 105401 + 8?\nAnswer: 105410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/27 - (-86)\/18. Suppose -h = -2*s - k, h - 4*s = 6*h - 25. Suppose 0 = -3*d + 4*j + 189, -2*d + h*j = -193 + 74. List the prime factors of d.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.841 - 1.159. Let n = -0.01 + -0.29. Let l = -1266\/5 + 252. What is the fourth biggest value in n, l, -0.2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) - (sqrt(68)\/(sqrt(4) + (sqrt(4) - sqrt(8)\/sqrt(2))))**2 - (sqrt(68)\/sqrt(4))**2*-1.\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 901.8951um?\nAnswer: 0.0009018951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 34*p**2 - 29*p - 111. Let r be g(33). Solve -12*h = -5*h + r for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 7:59 PM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1097265 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2. Let o(j) = -2*j + 350480. Give o(d(a)).\nAnswer: -2*a**2 + 350480","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34721 is divided by 11276?\nAnswer: 893","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3790?\nAnswer: 2, 5, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 65 + -127\/2. Let i = -62.8 - -63. Sort 0.3, i, -0.2, y in decreasing order.\nAnswer: y, 0.3, i, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pbp when three letters picked without replacement from ppppppppbppbpbpppp.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, d: 1, v: 5}. Give prob of sequence dv.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (230 + 12)\/(2\/33). Suppose 99*p = 66*p + a. Calculate the remainder when p is divided by 44.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + 9*q - 2. Let x be n(-9). Let f be 0\/(5\/((-20)\/12))*-1. Put 4, x, f in descending order.\nAnswer: 4, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((-84)\/(-2205)*-7)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-4)*(-32)\/60 + 18\/(-120)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 - 886346*r.\nAnswer: r*(r - 886346)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-1 - 8 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 51*y - 10*y - 41 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 18*s**2 + 18*s + 13. Let r be f(17). Suppose 33*h = r*h - 21. Let q = 90 + h. What are the prime factors of q?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 418392, 418395, 418398, 418401, 418404, 418407?\n\"Answer: 3*w + 418389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = p + 170. Suppose b + 45 = -0*b - 2*y, -2*y = 0. Let k = p - b. Calculate the highest common divisor of 99 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -4*o**2 - 4*o + 1. Let u be (8 + (-650)\/80)*8. Give n(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 545*h + h**3 - 441*h + 1.\nAnswer: h**3 + 104*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2749027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -34 in -2, 2\/13, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a minute in seconds?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -y**3\/6 - 23*y**2\/2 + 4*y. Let o be i(-15). Let n be (-4)\/o*0\/3. Is n >= 0.14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 37133 = 5*z + 37122, 5*c + 13 = 6*z for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 59.0863 micrograms?\nAnswer: 0.0590863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5925296119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -299.8 (b) -3 (c) 2 (d) 0 (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 194363 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -452 + 0?\nAnswer: -452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1641*g**2 + 1351*g**2 + 1640*g**2 - 4631*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 164 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*-3*2\/(-24). Which is the closest to -2? (a) s (b) 5 (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2350178661.\nAnswer: 3, 783392887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11987, 92, 5, -3, 0.\nAnswer: -3, 0, 5, 92, 11987","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1654675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 532*h + 527*h - 1066*h = -70 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Simplify ((-2*(sqrt(85) + sqrt(85) + sqrt(85)*-3 - sqrt(85))*-1)\/((sqrt(20)*1)\/sqrt(4) + sqrt(5) + sqrt(225)\/sqrt(5) + sqrt(45)))**2.\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -47 and -15109.2.\nAnswer: -15156.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.027534 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xmdcdxxx. What is prob of picking 1 c, 1 x, and 1 d?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/5943132 and -59\/6.\nAnswer: 5943132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 34*(4392\/144 - 31)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -272214393127114.42120306 + 272214396439495. Let f = 3312021.5788 - r. Let q = -359 - f. Round q to 7 dps.\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -6*p**2 + 2*p**2 + 13 - 5*p**2 - 2 - 7. Let c(y) = -3*y. Determine r(c(o)).\nAnswer: -81*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6850 is divided by 2279?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4 - 2*d**3 - 6*d**2 + 2*d + 4.\nAnswer: 2*(d - 2)*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 4\/7*g**4 + 4\/7*g**3 + 4\/7*g**2 - 4\/7*g = 0. Calculate g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + 3\/(306\/(-455)). Let i = 2\/51 - p. Which is the third biggest value? (a) 2\/5 (b) i (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x + 3. Let l be k(-5). Let q be (-6 - l)\/(14\/(-21)). Suppose 2*z - 5*z = -q. Solve 5*n = z*i + 21, 5*i + 15 = -0*n + 5*n for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, m: 4, i: 3}. Give prob of picking 1 m and 2 i.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37*v**4 + 73 wrt v.\nAnswer: 148*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a day in minutes?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.922478ml in litres?\nAnswer: 0.001922478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.79 + -0.64. Let h = -0.39 + o. Let u = h - 0.76. Which is the second biggest value? (a) -2 (b) u (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-9) - (-22)\/3. What is the greatest common factor of 161 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1828 + -1761. Calculate the remainder when 256 is divided by p.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g**4 - 30 - 60 - 54 + 20*g**2 + 28*g**3 - 78*g**3 + 168*g + 2*g**5 = 0 for g.\nAnswer: -6, -2, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 492.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1247770 divided by 10.\nAnswer: -124777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 6*i**2 - 4*i + 0*i + 0 + 0 + 4. Let g be z(-5). Is 0.01 greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 302 - 300. Let d(t) = -2*t**2 + 2. Let z be d(-2). Let p = 0 - z. Solve 16 = -p*u + n*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from {q: 7, g: 1}.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -17*t**3 - 12*t - 1. Let g(z) = -3*z - 3. What is 4*g(d) - s(d)?\nAnswer: 17*d**3 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a kilometer in meters?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2238 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millennium in years?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -792.7 rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k - 2. Let l be n(-4). What is the second derivative of -34*t + 55*t + 37*t + 2*t**l + 31*t**3 wrt t?\nAnswer: 186*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 2, -5*l + g + 0*g = 9. Suppose 0*t - 2*t - 14 = 0. What is the units digit of l\/t + (-954)\/(-42)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-6) + (-114)\/(-4). Suppose 22 = 2*p + z. Which is the nearest to p? (a) 0 (b) -0.4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 9*x**2. Let a(r) = 0*r + 0*r + 2*r. Suppose -249*z + 251*z + 4 = 0. Let k(m) = -7*m. Let w(t) = z*k(t) - 6*a(t). Determine w(l(i)).\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1070821?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 454 - 305. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8839 - -8838.9. Let b be 20\/16*(-2)\/(-5). What is the nearest to b in y, 0.2, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3614673, 3614624, 3614575, 3614526, 3614477?\nAnswer: 3614428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18*j**2*n + 40658*j**2 - j*n**2 - 226*j*n + n**2 wrt n.\nAnswer: 18*j**2 - 2*j*n - 226*j + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 2. Let u(i) = 1. Let t(w) be the third derivative of w**4\/12 - 38*w**2. Give s*t(b) - 2*u(b).\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**4\/7 - 130*y**3\/7 - 334*y**2 - 8030*y\/7 + 1500 = 0. What is y?\nAnswer: -35, -25, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/7? (a) 3\/5 (b) -0.2 (c) 0.2 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 5*s - s + 12, 0 = s - c - 5. Let p(g) = -g - 1 + 3*g**2 - 4*g + 15*g - 2*g**2. Calculate the lowest common multiple of p(-11) and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -99, -149, -199, -249?\nAnswer: -299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -1. Let w = r - -1.2. Let f = 0.83 + -0.53. Which is the second smallest value? (a) -2 (b) f (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 6 = 4*h, 0 = -4*h + b - 3*b. Let f(o) = 153*o + 1. Let x be f(h). Let m = -103 - x. Is m a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yypb when four letters picked without replacement from bypppypbypkyykpyyp.\nAnswer: 49\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 978055*o - 4359683 with respect to o.\nAnswer: 978055","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*w - 124. What is the common denominator of (-164)\/w + (0 - -1) and 23\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148.123 rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 68 - 65. Let x = 0.08 - -4.92. Put -4, 1, x, m in descending order.\nAnswer: x, m, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1967.24 - -276.16. Let r = -2221.386 + j. Let z = 22 - r. What is z rounded to three dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3*k**3 + k + 4. Let y(z) = -z**2 + 2. Let q be y(-2). What is the remainder when i(q) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 plus -20418?\nAnswer: -20460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 6*i**3 - 4*i**2 + 15*i - 16. What is the thousands digit of d(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s**3 - 7*s**2 + s + 6. Let q be b(-5). Suppose -q = -0*x - 3*x. List the prime factors of x.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 85263.19 millilitres?\nAnswer: 85.26319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.1239 times -0.1\nAnswer: -0.01239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**4 + 6*h**2 - 3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 20*l**3 + l**2 + l - 1. Determine u(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 19434.39629 to the nearest 100.\nAnswer: 19400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 686a?\nAnswer: -6865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 1 = 3*p, -5*p - 29 = -0*y + y. Let o be (y\/1)\/((-3)\/9). Suppose 2*f - o = -2. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 249.\nAnswer: 1494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(-55))\/(15\/(-525))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**5 - 3*t**5 + 4*t**5 + (t**3 - 21*t**2 + 21*t**2)*(2*t**2 + 0*t**2 + t**2).\nAnswer: 5*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, j: 1, s: 2, l: 1, z: 2}. Give prob of picking 2 x and 1 s.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.086*2832\nAnswer: -243.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 5*q - 60, 5*q - 59 = 5*y + 1. Suppose 65*p - 59*p = q. Factor 2\/5*z**p + 2 + 12\/5*z.\nAnswer: 2*(z + 1)*(z + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1737802.4 rounded to the nearest one thousand?\nAnswer: -1738000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/3, -21.01, -2?\nAnswer: -21.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4235305?\nAnswer: 5, 29, 29209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*d - 3*d**2 - 72*d + 8*d**2.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49.20000611 + -49.2. Round p to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*c + 18*c + 1938 = -p, 4*c - 2*p = 1548. What are the prime factors of c?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*m - 0. Let v be 2\/m - 2*-1. Suppose v = 4*f - 2*f - 48. What is the remainder when f is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5057 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/3 + 4\/6. What is g in w*g**4 + 8*g**2 + 0*g + 3*g**3 - 2*g - 13*g**3 = 0?\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 v when three letters picked without replacement from bnyiivyvieeyevn.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + w**2 - w - 1. Let d(t) = -45*t**3 + 9*t**2 - 9*t - 9. Determine d(v) - 9*u(v).\nAnswer: -36*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-3*sqrt(121))\/(sqrt(11) - (sqrt(11) - sqrt(77)\/(1*sqrt(7)))).\nAnswer: 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -852.29 to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -143*l**2 - 162*l**2 - 1 + 2 + 2 - 5 to t*l**2 + b*l + j and give t.\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -131328000 to the nearest 100000.\nAnswer: -131300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -8 + 19 - 18.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/210, -4, -5 in descending order.\nAnswer: 1\/210, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 198220 and 2948?\nAnswer: 13280740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27963*m**3*r**5 - 3659*m**3*r + 1887*r**5 + 32645*r wrt r.\nAnswer: 559260*m**3*r**3 + 37740*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*p - 16*n + 5*n - 65 = -10*n, 4*p = 5*n + 19 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.8422 - -3270.\nAnswer: 3274.8422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a decade in months?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 437, 307, 175, 35, -119?\n\"Answer: -z**3 + 5*z**2 - 138*z + 571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/26 or 0.2?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, r: 11}. Give prob of picking 3 o.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by 29.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -156 + -362. Let q = g - -1069. Is q a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 8 in descending order.\nAnswer: 8, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 38*k - 341. Let s = 159 - 82. Calculate the remainder when s is divided by v(10).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*k**2*p*u**2 - k**2*p - 2*k**2*u + 41*k - 9*p - 94*u**2 wrt u.\nAnswer: -6*k**2*p*u - 2*k**2 - 188*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**2\/2 - 341*g - 394060 = 0. What is g?\nAnswer: -610, 1292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162*r - 162*r - 2319541*r**2 + 2319540*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.01 + 0.01. Let m = -0.42 + 0.02. Let c = m - -0.7. What is the third smallest value in p, 0.5, c?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21.5, -381, 2\/3, 5.5 in ascending order.\nAnswer: -381, 2\/3, 5.5, 21.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 2)\/(-2) + 7. Let k = -1 + a. What is the remainder when k is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 0.08920239\nAnswer: -0.026760717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 - 13. Suppose -w + 18 = 5*h, -2*h = w - 4*h - 18. What is the remainder when y is divided by (-8)\/((3\/3)\/(w\/(-12)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (113*j - 109*j + 12 + 4)*(-6*j**2 + 4*j**2 + 4*j**2).\nAnswer: 8*j**3 + 32*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 166241 (c) -3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**2 + 1734*o - 3456 = 0. What is o?\nAnswer: 2, 576","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 3. Calculate the common denominator of i\/(-4)*14\/9 and 33\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*r**2 - 80*r + 285 = 0. Calculate r.\nAnswer: -19, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*6*5*1*sqrt(104))\/(sqrt(2592) - sqrt(2592)*-2 - (1*sqrt(320) - sqrt(320))\/sqrt(10)).\nAnswer: 25*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 13*r - 66. What is w(-19)?\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/5)*c*c)\/(c\/c**(-1\/19)))\/(c\/c**(-1)*c**(1\/2)*c) assuming c is positive.\nAnswer: c**(-523\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100010020220 (base 3) in base 16?\nAnswer: -1b1113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from mmmmlmmmmpmmmmmm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 5*f - 22. Let g be n(15). Let z = -49 + g. Solve 2*b - 4*o = o + 17, z*o + 24 = -b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 78579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8489865697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3893?\nAnswer: 17, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -143*i**2 - 243 + 124 - 154*i**2 - 15*i**3 + 121 in the form j*i**2 + p*i**3 + n*i + l and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**4 + 257*i**3 + 2*i + 164?\nAnswer: 24*i**2 + 1542*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -51758, -103525, -155292, -207059, -258826?\n\"Answer: -51767*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8816\/5 - -1763. Which is the nearest to 3? (a) -1\/12 (b) z (c) -2 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -z**5\/30 + z**4\/3 + z**3 + 2*z**2. Suppose 4*p + k = 29, -2*p - 4*k - 5 = -37. Give r(p).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -4*v + 150. Let s(g) = g**2 - 2*g - 49. What is the remainder when s(-12) is divided by v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-12)\/4)\/(51\/34))\/((-34)\/(-3))?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 5*o**3 - 14*o**2 + o - 8. Let u(s) = 4*s**3 - 13*s**2 + s - 8. Let l(w) = 4*u(w) - 3*y(w). What is the tens digit of l(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -1. Let l = 2714 + -29852\/11. Which is the closest to 2? (a) 2\/9 (b) n (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-10)\/(-45) - 0) + (-43)\/(-9). Let p be (-12)\/(-150) - 3\/(-25)*-9. Sort 2, q, p, 1 in ascending order.\nAnswer: p, 1, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*(2\/4)\/1. Suppose -5*y + s*x + 2*x = -96, 68 = 3*y + 4*x. Does 5 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -229*d**4\/4 + 8*d**2 + 739*d - 169. Differentiate z(a) with respect to a.\nAnswer: -687*a**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 496 and 496.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 24576890 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1\/16, -2.5, -2, 3\/29 in descending order.\nAnswer: 6, 3\/29, -1\/16, -2, -2.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/840 and -29\/216.\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5\/3, 0.51, 3\/7, -28.5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 + 35 = 20*h. Let j(c) = -c - c**2 + 9*c - 2 - 6. Calculate j(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away 964?\nAnswer: -969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((-5)\/(-4) - 1). Let x(z) = -2*z - 7. Let i be x(y). Let f(h) = 23*h**2 + 2*h - 1. List the prime factors of f(i).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 56 = 3*u - 3*j, 5*u - 3*j = -95. Let v be (-370)\/(-22) + (36\/u)\/(-9). Find the first derivative of -1 - 12*c**3 + v - 1368*c + 1368*c wrt c.\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {l: 1, h: 2, r: 13, p: 1, u: 3}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 172 - -53.6. What is g rounded to the nearest ten?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -26\/19 and -62 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -23, -23, -33, -59, -107, -183, -293, -443?\n\"Answer: -t**3 + t**2 + 4*t - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of u**4\/24 + 5*u**3\/12 + u**2 - 83*u. Find c, given that d(c) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 3*y + 9*x - 1, -3*x = -3*y - 18 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2117711 + 31369*x - 2117711 + 3397*x to d*x + s and give d.\nAnswer: 34766","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f + 16. Let y be g(-5). Let k(w) = -w**2 + 22*w - 16. Let v be k(y). Factor 0*u**4 + 9\/4*u - 3\/2*u**2 + 3\/2 - 3*u**3 + 3\/4*u**v.\nAnswer: 3*(u - 2)*(u - 1)*(u + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 divided by 6?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1978390 to the nearest integer?\nAnswer: 1407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3398*s + 88042. Give g(26).\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3 - 3492*m**2 + 306516*m - 6421420.\nAnswer: -4*(m - 41)**2*(m + 955)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 1)*(-t**2 + 158*t - 147*t - t**2).\nAnswer: -6*t**2 + 33*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (99\/11)\/((1134\/(-84))\/27).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5*k = -20. Suppose 7*h = 2*h + k. Suppose -h*o - o = -24. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/5)*h*h\/(h**(1\/4)*h))**0 assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(2\/9)*y*y**(3\/4))**21\/((y**(2\/3))**(3\/8)*(y**(2\/7))**(-16)) assuming y is positive.\nAnswer: y**(2411\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000358917 rounded to 6 dps?\nAnswer: 0.000359","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 0*q - 4*q - 28, 4*q - 42 = -3*n. Let k be 32\/n - 30\/105. Let m = k + 18. Is 4 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 89051*a**4 + 135045*a**2 wrt a?\nAnswer: 2137224*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 205.0239 - 0.0239. Let m = z + -124. Let q = -80.9941 + m. Round q to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 10\/23, -16, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3.1 (b) -12 (c) -28\/3477\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of 25*l**5 - 75*l**4\/2 - 55*l**3\/3 + 30*l**2 + 20*l + 6. Let g(z) = 0. What is z?\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/1127020 and 121\/204?\nAnswer: 57478020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19158866?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13299 to the power of 1\/2, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.42 - -0.48. Let v = 3 - y. Let k = 0.1 - v. Which is the closest to 1? (a) -5 (b) 0.5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.10999 - -0.11. What is s rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 15045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 359607?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 160*h = 165*h - 55, -36 = -5*l - 3*h - 59 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((236\/(-649))\/((-36)\/(-22)))\/((-40)\/(-18))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 110?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-558)\/(-558))\/((-3)\/30).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-6)*(-36)\/4. Let u(k) = -k**2 - 7*k + 5. Let d(m) = 4*m - 3. Let y(z) = i*u(z) + 5*d(z). Find the second derivative of y(c) wrt c.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 (base 12) to base 14\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jllggjljpjjjpljddldg. Give prob of sequence jgpl.\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 802102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004726955 to 7 dps.\nAnswer: -0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/(-21))\/2 + (-2)\/7. Suppose -71*o + 68*o + 9 = g. Sort o, 5, -3, -1 in increasing order.\nAnswer: -3, -1, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 - (50 - (-47 - -47))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -411415 and -0.0566.\nAnswer: -411415.0566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 s when three letters picked without replacement from vvvsvvvvvvsvss.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 4:47 AM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2854 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6966.05 - 6993. What is z rounded to the nearest integer?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -w**4\/12 - 13*w**3\/9 - 2*w**2 + 414. Suppose f(v) = 0. Calculate v.\nAnswer: -12, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 0*u - 8*u**2 + 2\/3*u**5 - 16\/3*u**3 + 0 + 10\/3*u**4 = 0?\nAnswer: -6, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*i - 17*i + 3*i)*(-1967*i + 4544*i - 4167*i) to the form p*i**2 + c + h*i and give p.\nAnswer: 11130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 147 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2128794 + 0.22342. Let n = i + -1.2106346. Let c = n - -1.2. What is c rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1011 + 97055\/96. Which is the biggest value? (a) -2\/7 (b) -0.3 (c) x (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -5*y - 3. Suppose -2*k = -5*k + 3*s, 6 = 3*s. What is the lowest common multiple of p(-2) and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2*sqrt(1694) - sqrt(1694)))\/(sqrt(14)\/(sqrt(8)*-4)).\nAnswer: -528*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3\/7 (b) -0.5 (c) -50 (d) -7 (e) 1.75 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -7*l + 15. Let y be h(2). Which is smaller: 62 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in -2\/13, -8599, 0?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -88 (c) 422 (d) -1\/45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-39)\/(-15) + 6\/15. Suppose -5*i + 38 = k*o, 4*o = -o - 2*i + 95. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (4 - -1) + -6 + 5 + 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q - q + 2*q)*(-4 + 1 + 0 + 4 - 2 + 0 + (0 + 1 + 1)*(-4 + 0 + 2) - 1 + 4 - 2 + (4 - 4 - 1)*(1 + 3 - 5) + 4 + 2 - 4) in the form r*q + g and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 + -1 - (50 - (92 + -44) - (0 - 5)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*n - 43*n = -60*n + 194*n - 2752 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -138074251500 + 16?\nAnswer: -138074251484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-24)\/(-10) - (-8)\/(-20). Solve -m + 0*m + c = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 29476\/(-1062)*36\/(-48). Let t = m + -294\/59. Find the common denominator of t and -47\/105.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-4)\/(-28) + (-1935)\/(-175))*550?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**2 - 3131004*j + 816932170668 = 0. Calculate j.\nAnswer: 521834","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 5*x + 27 = 0. Suppose -x*n = 3*f + 2*n - 9, -5 = -2*f - 3*n. Find the common denominator of 3\/20 and (-435)\/30*f\/(-12).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -5*h - 4, -g - 5*h = 33. Let k = 20 + g. Solve -5*r = -2*i + 29, -4*r - k - 2 = 3*i for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2502873*f**6 + 129156*f**2 - f?\nAnswer: -300344760*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 304 and 784?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.054? (a) -2 (b) -199 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 5, k: 13}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wntnotwwnttwtatn. What is prob of picking 1 o, 2 n, and 1 w?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 5*d + 2*d + 2*d**2 - 78 + 85 - d**2. Determine w(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 88.14 - 90. Let m = z - 0.14. Sort 3, m, -2\/9 in descending order.\nAnswer: 3, -2\/9, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 60\/(-2 + 3) - (6 + -4). What is the common denominator of 3 + 4\/(128\/(-82)) and (-6351)\/n*(-2)\/6?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 776448794 to the power of 1\/4, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 6*f - 9. Let l be y(4). Is -1\/33 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 4:37 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3550909033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 150, 324, 496, 666, 834?\nAnswer: 1000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.59 and 1.02.\nAnswer: 0.6018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4661)\/413 - (-11)\/1. What is the smallest value in -11\/2, -0.3, o, 0.2?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - 10.379876.\nAnswer: -14.379876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z + 1. Let n(s) = -2*s - 5. Let g(c) = -n(c) - 4*o(c). Let t be g(-2). Suppose t*f = f + 124. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yvvvyvvyyvyyv. What is prob of sequence vyyv?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5 = -3*m, 0*q + 2*q - 10 = -2*m. Suppose -q*u + 15 + 13 = 4*t, 3*u = 12. Suppose d**2 - 2*d**3 + 4*d**t - 3*d**2 = 0. What is d?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.56013 to two dps.\nAnswer: 6.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51880, -207498, -466856, -829954, -1296792?\nAnswer: -1867370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 104*y**2 + 119*y**2 - 244*y**2. Let f(u) = -2. Let b(s) = -s**2 - 3. Let n(q) = 2*b(q) - 3*f(q). Determine x(n(z)).\nAnswer: -84*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1308709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 99177198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1107, 1252, 1397?\nAnswer: 1542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*z + 24 = -0*z, -3*d + 5*z = -22. What is the second derivative of -7*s**5 + d*s - 8*s + 3*s wrt s?\nAnswer: -140*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/11 (b) -0.4 (c) -3\/2 (d) -0.0485\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 8\/6 + (-4 - 80\/(-32))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 2, 3, 56, 1 in descending order.\nAnswer: 56, 5, 3, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 6:19 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3764 is divided by 53?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 9 + 0 = z, 2*w + 4*z = -24. Let p be 2\/w*(-15 + 3). Let -p*x**2 - 9*x - 6 + 0*x**2 + x**2 = 0. What is x?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z = -z - 415 + 63 for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1323816 (base 12) in base 11?\nAnswer: -2152222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 788346?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*p**2 + (-4 + 2 + 0)*(-p + p + p**2) + 5 - 2*p**2 - 5 + 2*p**2 + 2*p**2 - p**2)*(0 + 0 + p).\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/(3\/(-6)*-2). Suppose 2*w + 6 + 28 = 0. Let b = w + u. Solve 2*r - b*r + 1 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.057721 rounded to 3 decimal places?\nAnswer: 0.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 447102767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -0.91. Let d = x - 0.131. Round d to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-140)\/(-6) - (-4)\/6. Suppose k = 2*o + 12, 5*o - 6 + 22 = -k. Solve -k + v = -5*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1224760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h + 3. Let f be q(0). What is the third derivative of 4*n**3 - 3*n**2 + n**3 - 7*n**3 + 6*n**f wrt n?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 divided by -1863676?\nAnswer: -35\/931838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01 * -8.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -162*a + 160*a - 200. Let m = a + 119. Calculate the greatest common divisor of m and 323.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.07, -1, 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*b + 213 = 0, -p + 212 = p + 2*b. What is the greatest common factor of 15 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 392*k - 96*k + 13728 = -55*k - 65*k for k.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39345 is divided by 393?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1102774952?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 117 = l, 0*b + 293 = -5*b + 2*l. Let o = -36 - b. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1112010 + 2121?\nAnswer: -1102112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75363 is divided by 166?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -112 * 5.\nAnswer: -560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 486.1 to the nearest 10.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 15472376.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2 - 19*i - 14. Suppose 0 = -27*j + 25*j + 2*r + 22, 0 = 2*j - 3*r - 23. Give v(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11000000011101110 (base 2) in base 12?\nAnswer: -4903a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21509 and 157?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-9) - (-14)\/63.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccjk when four letters picked without replacement from {k: 1, a: 1, w: 1, c: 2, b: 9, j: 1}?\nAnswer: 1\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021 - 1?\nAnswer: -1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -4*o**2 - 96*o - 3. Let r be d(-24). Sort -2\/31, -9.6, r in descending order.\nAnswer: -2\/31, r, -9.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of 2*t**3\/3 + 288*t**2 + 41472*t + 103. Factor y(j).\nAnswer: 2*(j + 144)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15447798?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.84 to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 8*p**2 + 574*p + 549. Give w(-67).\nAnswer: -1997","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*p**4 + 10*p**4 + 7*p**4 - 7 + (2 - 2 - 2*p**3)*(0*p - 3*p + 2*p) + 2*p**4 - 2*p**4 + p**4.\nAnswer: 5*p**4 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -151364 * 0.4\nAnswer: -60545.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 6 + 2)*(64 - 24678936*i + 24678936*i - i**2) to v*i**2 + w*i + x and give x.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003199706755 to five decimal places.\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 59551549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4950 = 212*s - 34*s + 152*s for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**3 + x + 5269*x**2 - 5532*x**2 - x as j*x**3 + v*x + g*x**2 + b and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -679790, -680260, -681042, -682136?\nAnswer: -683542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47909, 47882, 47843, 47798, 47753?\nAnswer: 47714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2635*(-5)\/(5 + 0). Let t = u - 31549\/12. Calculate the common denominator of -13\/22 and t.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/63? (a) -4\/7 (b) 1\/44 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.317 + -0.317. Which is the closest to -1? (a) v (b) 23 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.4 + 3081\nAnswer: 3079.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of 11*l**4\/12 - 3*l**3\/2 + 13*l**2\/2 + 7*l. Is r(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 126 - 126.5. Which is the third smallest value? (a) 3.6 (b) p (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24003.\nAnswer: 3, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 3*w**2 - 8*w - 18. Let l(a) = 2*a**2 - 13*a + 14. Let k be l(6). What are the prime factors of m(k)?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.7768487 years?\nAnswer: 0.007768487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6398962 divided by -2\nAnswer: -3199481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (6 + -4 - 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0371 + -181.0371. Let a = w - -181.409. Round a to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 12. Let h(a) = a + 3. Let u be h(p). Is u less than -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28109903 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) -0.0747 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-390)\/117)\/((-15375)\/(-450))\nAnswer: -4\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -5*c + l, 3*c + 4*l + 8 = 7*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 219 and 9052.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12026 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20 - 26?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f - 2 + 0*f + f**3 + (3*f - 16*f - 8*f)*(-3*f + 3*f - 4*f)*(-2 + 3 + 6 + f) as h*f**3 + q + k*f**2 + g*f and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p + 2*q + 14, 14 = 2*p - 5*q - 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 44062, 44068, 44074, 44080, 44086, 44092?\n\"Answer: 6*f + 44056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2. Let u(l) = 63797129*l**2. Calculate u(d(q)).\nAnswer: 63797129*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3*f - 2. Let z(b) = b. Let y = 0 + -4. Let r = y - -6. Let d(w) = r*z(w) + j(w). Differentiate d(h) with respect to h.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209*x - 209*x - 63*x**2.\nAnswer: -63*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 205905*p + 3 + 2.\nAnswer: -205905*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i + 252. Let a(l) = -3*l. What is a(y(r))?\nAnswer: 6*r - 756","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33412*k**3 - 45*k**2 + 4952753*k wrt k.\nAnswer: -200472*k - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-3 - 1 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55080318 by 3.\nAnswer: -18360106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2227*d*i**2*j**2*v - 2*d*i**2*j**2 + 47*d*i*j**2*v + 2*d*j**2*v - 4*i*j*v + 2*i*v - 9*j*v wrt i.\nAnswer: -4454*d*j**2*v - 4*d*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**4 - 148*m**3 + 0*m**4 + 152*m**3 = 0. Calculate m.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (6 + (-4 - 1))) + 6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -88739.6.\nAnswer: -354958.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (16 - 6)\/(2\/1). Suppose a*s - 124 = s. Does 11 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-855)\/(-72) - 12)*536\/(-14) and 181\/540.\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 3*w - 2. Let b(j) = j**2 + 11*j - 7. Let m(s) = -b(s) + o(s). Let n be (1 - 0)*(2 + 2). Suppose 0 = 4*k + n + 20. Give m(k).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -512*w**3 + 14*w**2 - 696. Let n(f) = -514*f**3 + 12*f**2 - 693. Let c(p) = 6*k(p) - 7*n(p). What is the first derivative of c(h) wrt h?\nAnswer: 1578*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + w + 3. Let v be (-34)\/51 + (-10)\/3. Calculate l(v).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 8\/21, -1, 212?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 + -11. Let n = g - 11. Suppose -2*p - p + 115 = 5*t, 5*t - 105 = -n*p. Does 6 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142\/(-60) + 1 - (-72)\/48?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 7*o**2 - 4*o - 10. Let h be k(6). Factor 30*t**2 - 54*t**h + 48 + t**5 - 8*t**3 - 59*t**4 + 16*t + 62*t**4.\nAnswer: (t - 2)**2*(t + 2)**2*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-68)\/2 + 9\/3. Let r = -16 - s. Solve -r = -2*k - 7 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 52 = -4*h, -4*c = 4*h - 2*h - 38. Solve 3*y + 0*j + h = j, -2*j = -2*y - 6 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**2\/11 - 1822*g\/11 - 63000\/11 = 0.\nAnswer: -875, -36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-6) - 52\/12. Let a = x - -4. Is a greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12152 and 285107186.\nAnswer: 3038","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 700 and 4720?\nAnswer: 165200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 20792185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4216*z + 101389 + 77713 = 43517 + 9105 for z.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 49.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-1*sqrt(192).\nAnswer: 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (0 - ((-2 - 0) + 1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pwfwpflwlllwlwjwww. Give prob of picking 2 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*z + 51 = -5*q, -39 = -3*z + 4*q. Suppose y = l + z, 9*y - 4*y = -l + 21. Solve p - 5*p = -y*r + 8, p = 3*r - 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3 + 1\/4*s**4 + 3\/2*s**2 + 1\/4 - s.\nAnswer: (s - 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.597 (b) 3\/7 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and -21385.\nAnswer: 128310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of 4*l**3\/3 - l. Let v(r) = 2*r - 2*r**2 - 1534 + 1534 - 2*r. Give v(u(g)).\nAnswer: -128*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -12169 and 150.4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10311 + 24248. What is the highest common factor of u and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2. Let q(g) = -20*g + 60. Let k(s) = 17*s - 39. Let j(c) = 3*k(c) + 2*q(c). Determine m(j(d)).\nAnswer: -121*d**2 - 66*d - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lyl when three letters picked without replacement from {g: 4, r: 3, y: 4, a: 1, s: 4, l: 4}.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 - (-27 + 22 - -20)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 484 + -251. Is 3 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106489 is divided by 9232?\nAnswer: 4937","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/(-6) - 8\/12. Let r be x + 45 - (-4 - -2). Suppose -d = 5*i - 11, 4*i + 5 = -4*d + r. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -20. Let b be 137\/(-2) + (-3)\/n. Let c = -39 - b. Is c a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72640 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -73 - (-19 + (-59 - -70)).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -4. Suppose 3*u - 6 = v - w*v, -8 = -4*v - 4*u. What is the remainder when -2*((-31)\/2 - v) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v - 1. Let z be u(-3). Solve 3*f - 2 = -14, 8 = -2*s - z*f for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -154*m**3 - m - 1. Let c be z(-1). What is the third derivative of -c*y**3 - 149*y**3 - 2*y**2 + 252*y**3 - 3*y wrt y?\nAnswer: -306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 2*y**2 - 4*y + 50. What is the hundreds digit of x(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 1)*(-w**5 - 4*w**5 - 11*w**5) - 7*w**3 + 7*w**3 - 17*w**5.\nAnswer: -33*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 270 divide 952530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 7*d = -7*v - 95, -2*d = v - 23. Let o(j) be the third derivative of j**4\/24 + 7*j**3\/3 + 2*j**2. Give o(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3965 + 4170. Solve 206*b + 4 = d*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 10 = g - 5, -4 = 4*g. Suppose 7*n + f = 22. Suppose -5*i = -2*p - 3*p - 115, p = n*i - 67. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6195357172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -21\/5, -1, 1\/11, 12, 2 in ascending order.\nAnswer: -21\/5, -1, 1\/11, 0.1, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1407966884?\nAnswer: 2, 151, 283, 8237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*i + 2906*i**3 - 24*i.\nAnswer: 2906*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 2, -2*t + 78 = 5*l + 22. Let s = t + -11. Suppose -h = 3*h - s. Solve h*n = -4*z - 6 - 3, n + 3 = 5*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*((-18)\/(-20))\/(114\/(-152))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1157*50\nAnswer: -5.785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 12:41 PM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*k + 1 + 0 - 1.\nAnswer: 21*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 805*b**2*h**3 + 11*b**2 - 51*b*h + h**4 wrt h?\nAnswer: 4830*b**2*h + 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c - c + 11*c)*(-14 + 10 + 23)*(-28 + 29 - 2*c**2 + 3*c**2 + 2*c) in the form u*c + y*c**2 + z*c**3 + b and give y.\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 100000111011 (base 2) to base 10\nAnswer: 2107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23)\/(69\/93) - -14.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-17)\/(-17))*2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43764, -87530, -131296, -175062, -218828, -262594?\nAnswer: -306360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-52)\/16 - -1)*(-4)\/12?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggfjfeggesesfgj. Give prob of picking 2 g.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/15)*b**(-2))\/(b**(-1)\/b)**(-41) assuming b is positive.\nAnswer: b**(-1258\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8061 and 5897.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of m**5\/60 - 5*m**4\/24 + 7*m**3\/6 + 7*m**2\/2 + 8*m. Let n(k) be the first derivative of d(k). Determine n(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 62.8851 - 0.3551. Let s = 15 + -77. Let p = s + m. Round p to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4\/9)\/(36\/22194)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -153, -162, -181, -216, -273, -358, -477, -636?\nAnswer: -841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -5 (c) 21 (d) 1 (e) -36\/7 (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (24\/(-5))\/(192\/(-45) + 4). What is the greatest common factor of t and 10701?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30*x**3 + 4874*x**2 + 528*x - 173?\nAnswer: 180*x + 9748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23631 (base 10) to base 12.\nAnswer: 11813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8870 is divided by 1894?\nAnswer: 1294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 6*a**2 + 7*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 50868 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 44501, 177937, 400303, 711593, 1111801, 1600921, 2178947, 2845873?\n\"Answer: -j**3 + 44471*j**2 + 30*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.14 + -1.64. What is the closest to 0.1 in n, 0.6, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 360 - 363. Let f be 1817\/(-1242) + s\/(-2). What is the nearest to 0 in f, -2\/5, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*n - 4248 = -335*n for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 6*c - 3*c**2 - 5 + 7 + 13*c**2 - 7. What are the prime factors of g(-4)?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = 3*b + 3 + 8, 0 = -3*b - 10*a - 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 1)*(-5*q**2 + 4*q**2 - 7*q**2) + 3*q - 2*q**2 - 3*q - 2*q**2 + 5*q**2 + q**2)*(-20*q**2 - 136*q + 136*q).\nAnswer: -200*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 18, -6, -3, -18.\nAnswer: -18, -6, -3, 0, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o. Let g(f) = 2*f**2 - 6870*f + 2. Determine r(g(j)).\nAnswer: -2*j**2 + 6870*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - ((-3 - 6) + 0 + 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -7669*l - 38. Let b(v) = 3*v - 6. Calculate -6*b(p) + j(p).\nAnswer: -7687*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49 + 50. Suppose 4*k = 2*b - 8, 4*b - q = 4*k + 15. Let s(y) = -3*y**2. Let m(c) = -3*c**2. Give b*m(d) - 5*s(d).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 14*k + 18. Let v be 958*(0 - (k - 0)). Suppose -12*z - 596 = -v. List the prime factors of z.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of d**3 - d**2\/2 - 96*d - 1. Suppose 7*t = 3*t + 16. Let s(a) = a + 3*a - 3 + 13*a + 0. Give t*s(r) - 11*f(r).\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a millisecond in microseconds?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 26392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**2 - 8*q + 58. Determine t(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -147*n + 159*n - 15336. List the prime factors of 2\/(1*12\/n).\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2558 divide 366508157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*k - 621 = 36*k. Is 23 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -11. Let a(g) = 3*g**2 + 14*g + 1. Let y(x) = x**2 + x. Let q(z) = a(z) - 4*y(z). What is the remainder when 67 is divided by q(v)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 8*s - 1. Let x be r(11). Suppose -3*t = 4*f + 28, -3*f + x = -5*t - 6*f. Is (1 - 31\/4)*-24 - t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 5*x = -6, -4 = -5*f - 4*x - 22 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44856*a + 44855*a - 451 = -35*r, -5 = -r + 2*a for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/6*36\/32*-1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 255838*v**3 - 3190*v + 1595. Let h(o) = -321*o**3 + 4*o - 2. Give -1595*h(g) - 2*n(g).\nAnswer: 319*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -302, -5, 1, 5, -15, -3 in increasing order.\nAnswer: -302, -15, -9, -5, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -201921, -2 in increasing order.\nAnswer: -201921, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 8*a**2 + 5*a + 2. Let h(z) = -2*z**3 - 20*z**2 - 16*z + 10. Let t be h(-9). What is m(t)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.88, 0.1 in increasing order.\nAnswer: -0.1, 0.1, 0.88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 48.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*w = -42*w - 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(648)*2 - sqrt(8))*6)\/(5*(sqrt(4) + (-2*sqrt(196) - sqrt(196)))).\nAnswer: -51*sqrt(2)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20957 in 0.2, 3\/4, -5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**3 - 3*v**3 + v**3)*(4 - 2 - 4) + (v + 0*v - 2*v)*(v**2 + v**2 - 3*v**2).\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 + 22. Let w = n + 1. What is the derivative of 6 + 31*q**2 + 10*q**4 - 31*q**w + 2*q**4 wrt q?\nAnswer: 48*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50752 and 9760.\nAnswer: 253760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 181635*h**3*q*r**3 + 3*h**2*q*r + h**2*q + 8*h*r**3 + 26*h - q wrt h.\nAnswer: 1089810*q*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/9 (b) -0.1 (c) 17.793\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 537188 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2097097 is divided by 221.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 56 - 82 - (2 - 16)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1158 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/958386 and -47\/781.\nAnswer: 68045406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from dpddddpppdppdpdpddp.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -d**3\/3 - 3*d**2 - 5*d + 10. Let k be (-2)\/(((-2)\/4)\/1). Suppose 3*s = k*l - 11, s + 5*l + 6 = 4*l. Calculate x(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2250 + 1768 = -l, -k = l + 1338. What is k rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -2, -84.09?\nAnswer: -84.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m + 81 = 2*m. Let r(u) = -27*u + 7. Let z(p) = 16*p - 4. Let s(b) = 3*r(b) + 5*z(b). Give s(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0*w = 5. Suppose 3*i + 5*f - 4 = -3, -3*i + w = f. Let l(d) = 16*d**3 + d**2 - 1. What is the smallest common multiple of i and l(1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 0 - 2 + 2 + 1 + (1 - 1 + 1)*(-1 + 1 + 1) + 4 - 2 - 5)*(-645*j + 63*j - 701*j)*(3 - 2 - 2).\nAnswer: -7698*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -7.8. Let w = -7 + n. What is the smallest value in -0.5, 2, w?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.99 + 0.01. Let m = -2.5 + j. Let h = 0.503 - m. What is h rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 3:47 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 11*j**3 + j**2. Suppose -1 + 31 = -5*u. Let f = 6 - u. Suppose -f*s - 1 = -13*s. Calculate y(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -18. Let a(z) = -z**h + 7*z - z**2 + z**2 - 7. What is a(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 54\/7 + (-10)\/(-35). Which is the closest to 0.1? (a) 3\/7 (b) l (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2474809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 4*k - 5681 + 14153, -4*n + 2*k + 6780 = 0. Does 45 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 a when four letters picked without replacement from {a: 6, s: 7}.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50456\/1680 - 30)*24\/10?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-272)\/(-60)*(-14200)\/24140?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 9. Suppose -3*r = -6*r - 2*w - 10, u*r = 4*w + 20. Suppose -a = -r*a - 5. Solve -12 = -a*b + 13 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 2:24 PM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z + 11. Let c be y(11). Suppose c = 5*a - 20, 0*p - 333 = -5*p - 2*a. What are the prime factors of p?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/9 + 125948*v\/3 - 276891920\/9.\nAnswer: 2*(v - 730)*(v + 189652)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*l - 56*l + 3 = 0. Suppose -3*m = 2*d - 3 + 8, 0 = -5*d + 3*m + 40. Put 4, l, d, -5 in increasing order.\nAnswer: -5, l, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -6\/40375?\nAnswer: -6\/40375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/7? (a) -6 (b) -0.1 (c) 4 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/11*-24*29\/464.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 40 + 55 - 51?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 890 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**5*p*p**0*p)\/(p**(2\/9)\/(p**(-1)*p)) assuming p is positive.\nAnswer: p**(70\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -5*r + 2. Suppose 0 = -3*d - 0*d - 6. Let u be h(d). Let a = -4 + 10. Calculate the greatest common factor of a and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2877171, -2877173, -2877175?\nAnswer: -2877177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2191489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27907\/2 + 279353\/20. Let m = y - 59\/4. Let l = 2500\/9 - 278. Which is the smallest value? (a) m (b) -1\/5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 769660 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 2*p + 4 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 36 = g, 1035*g - 1032*g - 3*u + 30 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.94484 millilitres to litres.\nAnswer: 0.02694484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 8*l - 16. Let v be k(10). Is 466\/(4\/(-2 + v)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26157247 times 4\nAnswer: 104628988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 60876601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 255 and 594711.\nAnswer: 2973555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 335 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of 3*v + 0*v**5 + 0*v**4 + 0 - 3\/2*v**2 + 0*v**3 + 1\/30*v**6. What is the derivative of l(j) wrt j?\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*k + 271 - 583 = 370 for k.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -519*a + 8. Let t(d) = d + 1. Calculate 5*t(i) - w(i).\nAnswer: 524*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**0)**(-16\/9)\/(n**0)**40 assuming n is positive.\nAnswer: n**(-16\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 2) to base 4\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.95715 litres in millilitres?\nAnswer: 38957.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 8*a = 4. Let d be ((-3)\/3)\/(a\/4). Solve d*x - 10 = 2*p - 24, 1 = -3*x - p for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 4 - (1 - -4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(4*-2*sqrt(288) + 2*sqrt(288)*-1)*6*1)**2.\nAnswer: 25920000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 7 + 13 = 0. Suppose -23 = -n + 3*p, -p = 2*n - q*p - 56. What is the remainder when n is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -13 + 6*v - 514*v**3 + 1544*v**3 - 510*v**3 + 29*v**2 - 516*v**3. What is c(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/2)*f\/(f**8\/f*f)*f*f)\/(((f*(f\/f**(-2))\/f)\/f)\/(f**(3\/4)\/f)))**(-4\/5) assuming f is positive.\nAnswer: f**(31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8793554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.09 and -4.\nAnswer: -0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cqkrkcqcrfqddkc. Give prob of picking 1 q and 1 r.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 126915?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(133)*-2)\/(sqrt(63)\/sqrt(576)).\nAnswer: 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17901 and 897.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 1\/5 (c) -132\/20377\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000018639 rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 times 0.39325?\nAnswer: 33.033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 165738464 divided by 16?\nAnswer: 10358654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 610335?\nAnswer: 610341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f - 4*f + 5*f)*((-2 - 2 + 5)*(-2 - 4 + 3) + 1 + 12 - 2).\nAnswer: -16*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 1)*(21\/14 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 148\/353 in -2, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 62 = p + 4*r, -2*r - 44 = 5*p. Let l be (-21)\/(-6)*p\/(-5). Let d = -1 + 1. Solve l*x - 5*x - 4 = d for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -o**3\/4 - 9*o**2\/4 - 5*o - 3 = 0?\nAnswer: -6, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -33, -79, -143?\nAnswer: -225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -50 (c) 4336\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -202.7*0.4.\nAnswer: -81.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 58.55 + -52.55. Which is smaller: 0.053 or a?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 9 = 3*n, -2*t = -3*n + 2*t. Let z(d) = -d + 9. Let p be z(n). Solve -p*y - 6 = -2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5*s**2 - 292\/5*s - 168.\nAnswer: -4*(s + 3)*(s + 70)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -136868.9*-0.4\nAnswer: 54747.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 402 + -4*(-35)\/(-20). Suppose 50*s - k = 5. Solve -2*m + 0*m = -s*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -229*j**3*l**2 + j**3*u - 9*j**2*l*u**3 - 35*j**2*l + 15*j*l**2*u**3 - 2*u**3 wrt l?\nAnswer: -458*j**3 + 30*j*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 37 = -5*l, 0 = -3*p - 0*l + 2*l - 8. Let a = 9 + p. Solve f + 5 = -7*d + a*d, 20 = 5*d - 4*f for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 464165 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -8178 at least -163559\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*d - 12*d + 6*p = -76 + 4, 5*d - 4*p = 2 + 46 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -16. Let q = -2246\/63 + 248\/7. Let i be 27\/(-5) + (-2)\/(-5). Which is the nearest to r? (a) q (b) 4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26.0046 - -26. Round j to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -9*r. Let i(x) = x. Let p(m) be the second derivative of -m**3 - m. Let s = -6249 + 6239. Let n(t) = s*i(t) - p(t). Determine j(n(k)).\nAnswer: 36*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1467*j**2 - 5261*j**2 + 1525*j**2)*(-2*j - 2*j + 3*j).\nAnswer: 5203*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u**3 - 2*u**2 + 2*u + 4. Give m(-3).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43256796*o**4 + 30723*o + 818 wrt o?\nAnswer: 519081552*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44313566.\nAnswer: 2, 11, 29, 69457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100101020 + 12?\nAnswer: -100101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20651*q**2 + 8708.\nAnswer: 41302*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 90\/12*(-49)\/(3381\/46)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, g: 3, y: 8, n: 2}. What is prob of picking 2 l, 1 n, and 1 y?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 280751532 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*f + 4*f. Are f and 0 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 486804 is divided by 13903.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -0.77, 5\/3, 4?\nAnswer: -0.77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -7*h**2\/2 - 16. Let i(z) = -2*z**2. Calculate s(i(a)).\nAnswer: 14*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -3*c**4\/8 + 5*c**3\/6 - 328*c**2. Let k(q) = 26*q - 14. Determine -4*k(g) - 11*l(g).\nAnswer: -5*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6768267*v**3 + 2022809*v.\nAnswer: -40609602*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from onooqnnnrnornrooo. What is prob of sequence rn?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5100487 and -0.36?\nAnswer: 1836175.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, t: 1, p: 4, l: 9}. What is prob of sequence np?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -9*z. Let i(u) = 2*u**2. Give x(i(j)).\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 339 - 336. Solve -3*l = -0*y + y + i, 10 = -2*l + 2*y for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(1\/51))*b**(-11\/2))\/((b**(-23)*b*b)\/(b\/(b**(-4\/23)*b*b))) assuming b is positive.\nAnswer: b**(34471\/2346)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 139221560\/9*j**2 + 145*j**4 + 638960\/9*j**3 + 3811057360\/3*j + 11294588176\/9 + 1\/9*j**5 = 0.\nAnswer: -326, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*l + 6. Let k be -4*(-1 + 6\/l). Which is the smallest value? (a) 0.3 (b) -0.5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77380, 155141, 232886, 310609, 388304?\nAnswer: 465965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 3*k + 4. Let j(w) = -1 + k*w + 6*w**2 - 2 + 4. Let n be j(-1). Solve 13 = 3*r + n*q + 5, -3*q = -12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 8*t**2 - 5*t + 4. Let y be m(-5). Let z = 18 - y. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 206807938?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -373039050 by -25.\nAnswer: 14921562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((515736\/(-114))\/78)\/(2\/3)\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 7*w + 3. Let p be c(7). Suppose p*u - 8*u = 0. Suppose -a - 2 = 2*j - u, 1 = 2*a - j. Solve a = 3*r - r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61738 to the power of 1\/2, to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/30*5\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28 - 31) + -3 + 3 + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y = -3*c - y - 4, 3142*c + 3144*c - 6291*c - 8 = y for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 6591*k - 4274. List the prime factors of f(4).\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -6*m**3 - m**2 - 12*m - 12. Let b be n(-16). What is b rounded to the nearest one thousand?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-6)\/v)\/(v\/(v\/v**(-14))) assuming v is positive.\nAnswer: v**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1472*x**2*z + 2324*x**2 + 3*x*z + 3*x + 196*z - 35968 wrt x?\nAnswer: -2944*x*z + 4648*x + 3*z + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10156, 20314, 30472?\nAnswer: 40630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2576627 + 0?\nAnswer: -2576627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 5 = -m. Suppose 15 = -m*u, t - 5*u + 10*u - 24 = 0. Suppose 0 = -4*f + t + 7. Is 6 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((16\/30)\/(-2))\/(79\/395))\/((-1288)\/(-12))?\nAnswer: -2\/161","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 515731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - z)*(4271*z - 7 - 46 - 4272*z) + (4*z + 5*z - 6*z)*(z - 5*z + z) to the form p*z + k*z**2 + v and give p.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -322\/31247 or -1?\nAnswer: -322\/31247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -6 - 4 - 127 - 4 - (877 - 876).\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/((-16)\/228)*(-56)\/(-588) - 3. Let i = -2.89 - 0.11. Which is the biggest value? (a) 0.2 (b) i (c) -22 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**2 + o**2 - 2*o**2 + (3*o - 4*o - 5*o)*(5 - 5 - o).\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 + 150315786*o - 1882902960066483.\nAnswer: -3*(o - 25052631)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 930 - 875. Solve -p + k - 52 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -153 - -219. Let n = -38 + x. What is the lowest common multiple of 12 and n?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/62145402 and 109\/372872412.\nAnswer: 372872412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 + 3730512?\nAnswer: 3730501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4347.65 times -0.097?\nAnswer: -421.72205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-9))\/((-170)\/765*6\/10).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 12:50 PM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 81 - 75. Suppose 0 = t*n + 2362809 + 427191. What is n rounded to the nearest 10000?\nAnswer: -470000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**8)\/((y*y**(1\/25)*y)\/y)*(y*y\/(y\/y**13))\/y**(-1\/15) assuming y is positive.\nAnswer: y**(1652\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 22057*h - 22022. Give j(1).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6628 and 12.\nAnswer: 19884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4040046 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (0 + (-206)\/(-28) + 420\/2940)?\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + sqrt(539)*-3) + ((0 + sqrt(1100) + 1)*2)**2.\nAnswer: -25*sqrt(11) + 4404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 127, 123, 117, 109, 99, 87?\n\"Answer: -v**2 - v + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -94 - -89. Suppose -5*j + 16 = -19. Let w(k) = -j + 2*k**2 + k**2 - 2*k**2 + k. What is w(r)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - c + 3. Let r be o(0). Suppose 0 = 8*t - r*t. Does 8 divide 2*(11 - (t - -1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 7 = -w - 2*s, -3*s - 11 = -2*w. Let f be w*(-3)\/5 - -1. Let u = -152\/219 + 2\/73. What is the nearest to -0.1 in f, 1, u?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of 9*f**5\/20 + 5*f**4\/6 - 4*f + 13. Let z(j) be the first derivative of w(j). What is the third derivative of z(u) wrt u?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1) + -2 + 4 - (-36 - -35).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**2\/17 - 88*z\/17 + 490\/17 = 0. Calculate z.\nAnswer: -49, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 30*x**2 + 36*x - 3. Let k be q(29). What is the greatest common divisor of 500 and k?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**2. Let c(m) = 38551906*m**2. Give c(v(s)).\nAnswer: 154207624*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 427458 is divided by 111.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29138 or 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02*-2231420.\nAnswer: 44628.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*j + 10. Suppose 12 = -4*q + 60. What is the remainder when j is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -123103 - 2020103?\nAnswer: -2203212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 35*m - 130 + 47*m + 128 + (-2*m - m + 4*m)*(7 - 29 - 6).\nAnswer: 54*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(-27)*n*n*n*n*n)**(-2)*n**37*n**5*n assuming n is positive.\nAnswer: n**83","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -4*r - n - 21, -4*r - 5*n = -21 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/3*(-90)\/4. Suppose 0*r = -5*r + q. Calculate the remainder when 35 is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 308351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 447*k + 50 = -446*k, -6*x = 4*k + 60 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -126*p**4 - 2*p**3 - 3*p**2 - 15*p + 209871.\nAnswer: -504*p**3 - 6*p**2 - 6*p - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 2068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 5*c**2 + 6*c + 12. Let z(g) = -11*g**2 - 13*g - 23. Give -13*a(x) - 6*z(x).\nAnswer: x**2 - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 2*v + 2. Let w(s) = 12*s - 14 - 9*s + 11. What is 2*w(c) + 3*x(c)?\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9476?\nAnswer: 2, 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 10) to base 7.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 0*j + 12. Let p(i) = -1 - 1 - 2 - 3*i + i**2. Let q be p(j). What is the closest to 1 in q, 1\/6, -3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -328.4 + -23.6. Let w = j + 352.00000616. Round w to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 2*g + 1. Let r(z) = -4*z**2 + 5*z - 4. Let b(k) = -3*i(k) - r(k). Is b(30) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 17.1.\nAnswer: -3.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-2))\/(-2) - -4. Let z = -1 + r. What is the nearest to z in 2\/11, -0.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33423.14 weeks in minutes?\nAnswer: 336905251.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-10)*4)\/(13188\/(-785))*10\/(-1)?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, i: 8, l: 1, q: 2, c: 1, m: 1}. What is prob of sequence qi?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -158, 111, -66, -4, 5 in descending order.\nAnswer: 111, 5, 1, -4, -5, -66, -158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x + 7. Suppose -15*n - 98 = -86*n - 27*n. Let b(d) = -75 - 69 + 143. Let z(p) = 6*p**3 + p**2 - 1. Let j be z(1). Determine j*b(c) + n*f(c).\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**7\/d*d**(-18\/5))\/(((d*d**14)\/d*d)\/d)**(4\/13) assuming d is positive.\nAnswer: d**(-124\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d = -15*d - 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (2 + 2)) + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.07 - 4.93. Let g = f + 10. Put 4, -1, g in increasing order.\nAnswer: -1, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 equal to -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*g + 476 = -1097 - 3035 for g.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 4)*(-4 - 13 + 4)*(-1 + 1 + a).\nAnswer: -39*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ipipiiigppggpplip. Give prob of picking 1 i, 1 p, and 1 g.\nAnswer: 63\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4 + 1)*1)\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-95)\/(-7) - (-50)\/((-2400)\/624)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 g when three letters picked without replacement from dudgduggddduud?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w + 5*w - 5*w + (-4*w + 0 + 0)*(-1 - 17 + 3).\nAnswer: 59*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from cckkczcckcckc.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40818*i**2 - 42*i*s + 5728*s - 218 wrt i.\nAnswer: -81636*i - 42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 8:54 PM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/65 + 152\/715. Which is the nearest to 0.1? (a) 0.1 (b) u (c) 1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 196962.58138 - -11\nAnswer: 196973.58138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 312 + -207. Let a = -103 + g. Sort -10, 3, -1, a in descending order.\nAnswer: 3, a, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2 - 315*x - 5973. What is c(175)?\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6\/25 of a micrometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 6:57 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5 + (2*sqrt(605))**2 - (sqrt(605) - (0 + 1 + sqrt(605))) - -6*sqrt(60)\/(sqrt(12)*-2*-1)).\nAnswer: 18*sqrt(5) + 14556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92226 - 494629 = 8303*y - 13948 for y.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 21*m + 41. Let p be b(-2). Is -64\/395 greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -4*i**2 + 6*i + 6. Let b(m) = 5*m**2 - 7*m - 7. Let h(y) = -4*y - 12. Let r be h(-6). Let x = -5 + r. Determine x*z(s) + 6*b(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 286 and 78.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8 - u - 1 + 1 with respect to u.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 1082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19266 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(1 - (-2 - -2)). Let x = -597\/2 - -300. Put m, 5, x in increasing order.\nAnswer: m, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4386479?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14933 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 469580?\nAnswer: 2, 5, 53, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -152131.66814 and -0.3.\nAnswer: -152131.96814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 4. Let b be l(0). Suppose 0 = m + s - 706, b*s + 0*s = 2*m - 1394. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18136442 at most as big as 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(48\/(-2))*-18. Suppose o*u = -2*u. Let t = 7 + -11. Sort 2, t, u, 1 in ascending order.\nAnswer: t, u, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-252))\/(((-268)\/32830)\/((-2)\/5)).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((7\/20)\/((-671)\/1342))\/((-3)\/210).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 5 (c) 4 (d) 1832 (e) -4.44\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 13 - 4. Let k = -10 - -14. Suppose 2*d - i - 3*i = 20, k*i = -d - 14. Solve -3*t + 4 = -d*b, 2*t = a*b + 1 + 5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37.54 - 38. Let d = q - -0.06. Let x = -0.3 - d. What is the closest to -1\/3 in 2, -4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -4440?\nAnswer: 4433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/1163 - 2364\/22097. Let z be 6\/(-10) - (-29)\/15. Which is the biggest value? (a) q (b) z (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**4 + 108*o**3 + 9360*o**2 + 140500*o + 131250 = 0. What is o?\nAnswer: -25, -1, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8835547?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - x**2 + x + 1. Let z(q) = 9*q**3 - 6*q**2 + 7*q + 6. Let k = -3 - 3. Calculate k*d(c) + z(c).\nAnswer: 3*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-52)\/(-16) - 2\/8. Factor 27*u**2 + 7*u**4 + 8 + 8*u - 12 + 19*u**3 + 0 - s*u**4.\nAnswer: (u + 1)*(u + 2)**2*(4*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 2291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 93474 and 31158?\nAnswer: 93474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -566 - -565. Let m(p) be the second derivative of -3*p**5\/4 + p**2\/2 - p. Determine m(d).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + q + 1350000. Let l be m(0). Suppose -2*c - l = c. Round c to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/8793192 and -127\/48.\nAnswer: 17586384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 6*d + 6. Give a(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, z: 5, b: 1, f: 1}. Give prob of picking 2 z, 1 b, and 1 w.\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + (-2)\/(2\/(-119)). Suppose 270*n - 273*n = -2*c + 67, -3*c - 3*n = -63. What is the highest common factor of g and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f**2 - 788*f - 31897. What is v(-50)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(170))\/sqrt(10))**2 + sqrt(153)*1.\nAnswer: 3*sqrt(17) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15097*p**2 - 4917?\nAnswer: -30194*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + z. Let c(m) = -5*m**2 + 9*m + 3. Let n(g) = -c(g) + 6*w(g). Let o be n(-4). Let q(t) = -t - 5. Let d be q(o). Solve -r - 3 = d*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3 + (168 - 24\/(-3))?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -q**7\/2520 + q**4\/4 + 5*q**3\/6 - 11*q - 4. Let f(x) be the third derivative of g(x). Let t(p) = -66*p. Calculate f(t(c)).\nAnswer: -4356*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.81 plus -27721907017?\nAnswer: -27721907018.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 13 = 7. Suppose 154 = y*b - 3*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 30 = v. Suppose -2*p - 2*p + s + 33 = 0, 5*p = 2*s + 39. Let c = p - v. Is c even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5717117*d - 1620919 wrt d?\nAnswer: -5717117","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -98 and -0.2?\nAnswer: 19.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 898*o - 27248 = 277*o + 697 for o.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 385690.\nAnswer: 2, 5, 38569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -764392*r**2 + 4168116*r wrt r.\nAnswer: -1528784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 + -0.2. Let a = 24200 - 24200.3. Sort r, a, 4, -7.\nAnswer: -7, a, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millimeter in micrometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y = -5 - 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k - 4*k = 52*k - 189 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuyuubyuyyyupuy. Give prob of picking 1 p and 2 u.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*p**3 - 654*p**2 + 8898*p + 12160.\nAnswer: 2*(p - 64)*(p - 19)*(4*p + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1468 and 240.\nAnswer: 88080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -4\/5, -48, -13\/5, -3, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 14404736 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -8 (b) 1\/4 (c) 1.2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p - p + 3*p + (4*p + 7*p + 4*p)*(2 - 1 - 3).\nAnswer: -28*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q + 2*q = 2295. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 37 + 38 + 3*l**2 - 74. Determine y(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5351*r = -9671*r + 4870*r - 38500 for r.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(26\/(-13 + 26)). Let h = 6 + -4. Suppose 0*d = 4*k + h*d, 3*d = 0. Is y >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1376544 is divided by 37200?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 57 (b) 2 (c) 1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6.87445 and 1427.\nAnswer: 1433.87445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-12)*(-126)\/(-210)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -14058 and 0.1229?\nAnswer: 14058.1229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, r: 1}. What is prob of picking 3 x?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1572 by -6.\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 9, 4, -7 in descending order.\nAnswer: 9, 4, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 781317 to the nearest integer?\nAnswer: 884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*(-10)\/(-4)*-1. Let m = x - -4. Suppose v - r - 11 = 0, 5*r - 27 = -5*v + 3*r. Is v > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64 - 61. Let i(c) = c. Let w be i(2). Sort w, -2, j in decreasing order.\nAnswer: j, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12509641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1312466290 to the nearest 100000.\nAnswer: 1312500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**3 - 2*r**2 + 1. Let j be (-28)\/(-36) + (-2)\/(-9). Give u(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-74)\/(-370)*20\/26.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3708824?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 q when three letters picked without replacement from qqqqqqqqqqqbqqqqqq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**3 + 2*t**2 + 2*t + 1. Let y be g(-1). Let p be (3 - y)*(-3)\/(-6). Let s(o) = 0*o + 0*o + o**p. Let c(h) = h. Calculate c(s(u)).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**3 - 863*x**2\/3 + 2374*x\/3 + 1081 = 0. Calculate x.\nAnswer: -1, 23\/6, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f - 8. Let z be u(5). Let w = -2 + z. Is -1\/9 at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*g**2 + 46*g**3 - 54*g**2 + 16*g**2 + 19*g**2 + (-2*g**3 - 2*g**3 + 3*g**3)*(1 + 2 + 0).\nAnswer: 43*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -145 + 492. What is the remainder when f is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2 + 5*m + 7. List the prime factors of a(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -52 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 256 + -256.1. What is the fourth smallest value in -0.5, -11, f, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 63 - 14 = v, 0 = -5*a + 4*v - 212. Let m = -0.01 + 3.01. Which is bigger: m or a?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 509, 994, 1429, 1790, 2053, 2194, 2189, 2014?\n\"Answer: -4*n**3 - n**2 + 516*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-3))\/((-9)\/54). Suppose -211 = d*a - 53. Let o = -45 - a. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 9*u + 1. Let z be b(11). Find the second derivative of -1 + 1 + 11*n - z*n**4 + 17*n**4 wrt n.\nAnswer: -72*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = o - 403*j + 407*j, -21*o + 3*j = -16*o - 59 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -346*w**2 - 360*w**2 + 703*w**2. Let h(z) = 2*z + 3. Let r be h(3). Let d(y) = y**2. Let a(k) = -k**2. Let m(l) = r*d(l) + 4*a(l). What is m(g(q))?\nAnswer: 45*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 517*j**4 + j**2 + 93*j - 919*j**4 + 19*j wrt j?\nAnswer: -4824*j**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18298 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (0 - 7)) + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-12) + (-82)\/(-6). Is f + (-2)\/6*-3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38655 is divided by 1560?\nAnswer: 1215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.93735 and 9.\nAnswer: 8.43615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**5 + 60*h**4 - 1685*h**3 - 24580*h**2 - 106800*h - 152000 = 0. Calculate h.\nAnswer: -19, -5, -4, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4233 and 69649?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*y - 481 = -171 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t**2 - t**2 + 20*t**3 - 2*t**4 - 10*t**3 + 6 - 8*t**3 - 3*t**3 to d*t**4 + m*t**2 + i + o*t**3 + s*t and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -s**9\/1512 - s**5\/30 - s**3\/2 + 2*s**2. Let t(l) be the first derivative of n(l). Find the second derivative of t(g) wrt g.\nAnswer: -40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/28)\/((-374)\/(-7854)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f - f + 0*f)*(3*f**3 - 2*f**3 + 3*f**3) - 3*f**4 + 4*f**3 - 4*f**3 as k*f**2 + r*f + z*f**4 + v + j*f**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -11*i**4\/8 + 7*i**3\/3 + 8*i**2. Let a be p(-7). What is the highest common divisor of a and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*2 - (-42)\/(-10). Let t = -1542 + 16964\/11. What is the closest to 0.3 in z, 1\/7, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -13*c + 8*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**3 - 180 - 184 + 142 + 222 - 6*m**2.\nAnswer: -4*m**3 - 6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -1010001001101?\nAnswer: 1010001001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/(-80)*(5 - 1). What is the smallest value in -247, 2\/9, t, 4?\nAnswer: -247","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.7 + 4. Let h = -2.7 - g. Let n = -3.1 + 3. What is the nearest to n in 5, -5\/3, h?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3329909?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6\/13 - 1\/26. Let f be (1 - 0)\/((-28)\/(-16)). What is the nearest to 0 in i, 3, f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*r + 5. Let m(b) = -6*b + 8. Let o(a) = -5*a + 7. Let q(j) = 6*m(j) - 7*o(j). Let d(v) = 2*v - 3*v + 2*v. Determine r*d(u) + q(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -138 - -16?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 400*a = 397*a + 15, 16 = -v + 4*a for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*d - 10*d - 15*d - 29*d as w + o*d and give o.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 48908*y**2 + 782553*y + 396. Calculate i(-16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 2963237976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 14 = g. Let r = -14 + 6. Let z = r - g. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -68 - -33. Let n = l - -106\/3. Is n >= 2\/79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 2:02 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -19946336, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4 + 11 + 0 - 10 + 0*f - 10*f. Let w(h) = h - 1. Calculate -j(c) - 3*w(c).\nAnswer: 7*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 19, 58, 133, 256, 439, 694, 1033?\nAnswer: 1468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of 5*l**4\/6 + 11*l**3\/2 + 24*l**2. What is the tens digit of g(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 16*r - 12. Let k = -21 - -35. Let h be i(k). What is the greatest common divisor of h and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.29, -1, -3\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27625 and 115975.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 764 + -38?\nAnswer: 727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5934995 and 5307.\nAnswer: 1769","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 a when two letters picked without replacement from {h: 7, a: 1, w: 3, o: 1, i: 7}.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 5*u**2 + 4*u. Let y(v) = v**3 - 1. Determine j(n) - 2*y(n).\nAnswer: -2*n**3 + 5*n**2 + 4*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7}. What is prob of sequence ss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 16*f**4 + 48*f**3 - 30*f**2 - 34*f - 6. Let m(p) = -31*p**4 - 96*p**3 + 61*p**2 + 69*p + 12. Let c(j) = 5*a(j) + 2*m(j). Factor c(l).\nAnswer: 2*(l - 1)*(l + 3)*(3*l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 - (1 + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-46)\/22 - (0 + -2). Which is greater: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1291*s = 1143*s - 3996 for s.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 37.8 and 77.\nAnswer: 2910.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 t when two letters picked without replacement from topjyyvop.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.023 >= 2494?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v + 1. Let a be m(1). Let c(t) be the third derivative of 5*t**4\/24 + t**3\/3 + 12*t**2 + 3*t. Determine c(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704)*2)**2 + (-1 + sqrt(11))*1.\nAnswer: sqrt(11) + 2815","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.06 + 0.16. Let g = 1\/925 - 379\/8325. Which is the smallest value? (a) q (b) -5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 3*u + 7. Let s be j(-5). Let l(z) = -2*z + 1. What are the prime factors of l(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 2\/27, -5, 4.8, -0.07, 1?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/15)\/(12\/18). Which is the third biggest value? (a) -1.1 (b) f (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*x + 27554493 = 270*x - 110*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g - 1. Let w be x(-3). Suppose 0 = 12*t - 24 + 36. Which is the third smallest value? (a) t (b) w (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18170*a - 6*a**5 - 18165*a + 39*a**5 + a**5 - 5*a**5 + 5*a**5 + (3*a + 2*a - 2*a)*(0*a**4 + 0*a**4 - 2*a**4).\nAnswer: 28*a**5 + 5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -8*c + 777. Give z(46).\nAnswer: 409","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -449*x + 428*x + 84 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.4 + 4.4. Let p = 0.406 - -16.694. Let l = p - 17. Sort l, b, 3.\nAnswer: b, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.176 + -1.273. What is p rounded to two dps?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99632 is divided by 230?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 112735 (base 9) in base 10?\nAnswer: 67667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - z + 9 = 0, 0*f + 5*z = -5*f + 5. Let w be 2 + f*3\/6. Suppose 0*o + o + 9 = -5*m, w = -m. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -49*d - 5. Let g(o) = -3*o. What is r(g(l))?\nAnswer: 147*l - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddc when three letters picked without replacement from cdcddcddcddcc?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-3 - (-16 - (-2 - 0)) - 16)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 599 divide 617985305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m**4\/17 - 24706*m**3\/17 - 2687140*m**2\/17 - 75550272*m\/17 - 44368128\/17 = 0.\nAnswer: -2358, -56, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 705552 is divided by 53?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 159 and 212?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -75.402 to one decimal place.\nAnswer: -75.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1344 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -401*q + 571*q + 127*q - 137670 = -1821*q for q.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -7 - 2. Let f = c + -4. Suppose -f*a + 1 = -14. Calculate the highest common factor of a and 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 2, -200, 5 in decreasing order.\nAnswer: 5, 4, 2, 1, -200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 606 divide 444804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -535*w**2 - w - 18610 wrt w.\nAnswer: -1070*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z - 4. Let g be h(7). Suppose 0 = -0*d + d - g. Solve -3*y + 15 = 0, -d*l = l - 3*y + 7 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46996 to the power of 1\/2, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, v: 2, r: 2}. Give prob of picking 2 v and 2 r.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*v - 181 = -4*n, 3*v = -2*n + 27334 - 27335 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/391551 and -85\/1044136.\nAnswer: 3132408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2056743.6 seconds to minutes.\nAnswer: 34279.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -q**8\/960 + q**5\/15 + q**4\/8 - 7*q**2. Let o(b) be the second derivative of j(b). Find the first derivative of o(i) wrt i.\nAnswer: -21*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1556, -1552, -1548, -1544?\n\"Answer: 4*l - 1560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 131003 (base 7) in base 2?\nAnswer: 101111100100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 919, 25, -42, -5 in descending order.\nAnswer: 919, 25, -4, -5, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1241911085.\nAnswer: 5, 248382217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*g**2\/3 + 4915*g\/3 - 69790\/3 = 0. Calculate g.\nAnswer: -997, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 883344903*v**2 - 18*v - 883344903*v**2 - 48*v**3.\nAnswer: -48*v**3 - 18*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 47, 87, 153, 251, 387, 567?\nAnswer: 797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232023271 is divided by 105083?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 257217.999875 + -257249. Let m = 31 + j. Round m to 5 dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -552*s + 4411. Calculate q(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 110 = -16*b for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 9144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 9*c - 104. Suppose c*m = 22*m + 2772. Suppose 0 = -h + 8*h - m. What are the prime factors of h?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257989097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10026287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-10 - -11) + -7 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + j + 8 = 4, -5*i = -4*j - 17 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 1904373 - 6*r - 952181 - 952192. Let q = 27 + -19. Suppose 0 = 2*m - n + 6, 3*m - 15 = q*m + 2*n. Calculate t(m).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 322 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 5*x**2 + 5*x + 3. Let d be w(-3). Let i be (9\/d)\/(6\/4). What is the remainder when 30 is divided by (5*3 - 0) + i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 6*p**2 - 3. Suppose 7*m - 3*m - 28 = 0. Let x(o) = o**3 + 4*o**2 + 2. Give m*x(r) + 5*b(r).\nAnswer: 2*r**3 - 2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 8. Suppose 149 = -b + 4*b + 2*w, i*b = -2*w + 202. List the prime factors of b.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4 - -2) + 2)*(-6)\/(-12). Let j(f) = 5 - 2*f - 3*f**3 + 3*f + 4*f**3. What are the prime factors of j(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 90916 to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -a + 1539, 4603 = -0*a + 3*a - 2*n. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 359424349?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*((-225)\/(-6))\/5*(-1)\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9944, 19883, 29822, 39761?\nAnswer: 49700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -5\/64, 69?\nAnswer: -5\/64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 11:21 AM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1694)*3*1)\/(sqrt(77)\/(-1*sqrt(11)) + sqrt(7) - (sqrt(7) + sqrt(21)\/sqrt(3)*-4)).\nAnswer: 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, o: 2, h: 1, y: 1, j: 1, a: 1}. What is prob of picking 1 y and 1 o?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 370 divide 20872164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 - 2766*v + 63089.\nAnswer: (v - 2743)*(v - 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 + -23. Suppose 2*h = 8*y - 11*y + 2, -28 = -5*h + 4*y. Suppose -h*n + 45 = -51. What is the highest common divisor of n and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v + 7. Let m(k) = 227*k - 54. Calculate 5*f(u) + m(u).\nAnswer: 222*u - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4483630 * 0.5\nAnswer: -2241815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 254 and 6731?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04156 + -183602.\nAnswer: -183601.95844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*c**6 + 132*c**3 - 146144*c**2?\nAnswer: 720*c**3 + 792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232*b - 121312 + 357024 = 0. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-495)\/(-105) - 4\/(-14). Suppose -1060 = -v*r - 6*o + o, r = 3*o + 204. Calculate the highest common divisor of 21 and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*k = 144, o - 4*k - 174 = -k. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174 + 31 = -3*j - 4*c, 278 = -4*j - 3*c. Let n = -41 - j. Suppose 2*g = -3*g + n. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3295 - 36244\/11. Sort 2, l, 0.05 in increasing order.\nAnswer: 0.05, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20493 + -20496. What is the closest to 36 in 2\/3, 0.2, r, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1414\/31 + 60697\/1364. Calculate the common denominator of n and 41\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 47, 176, 429, 848, 1475, 2352, 3521?\nAnswer: 5024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**4 - 7*x**4 - x**4 + (-x + 9*x - 3*x)*(-x**3 - x**3 + x**3).\nAnswer: -13*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 5292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from waawawwwaw. Give prob of picking 2 w and 1 a.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**15)**10)**(3\/35) assuming b is positive.\nAnswer: b**(90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 2*q**2 + 1304. What are the prime factors of z(0)?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -131 + (-1 + 2 - 2). Let a be i\/(-16) - (-2)\/(-8). Let n = 15 - a. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + z - 15 = 0. Let u(v) = -v**3 + 4*v**2 + v - 4. Let q be u(3). Let d = z + q. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/3)\/(s\/((s\/s**4*s)\/s))*(s*(s\/s**1)\/s)**(-24))\/((s**11*s)\/(s\/(s*s**6*s)))**(-3\/7) assuming s is positive.\nAnswer: s**(101\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -131 - -120. Suppose -3*m = -2*m - 19. Let o = m + u. Is o a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -c**6\/1800 - 7*c**5\/150 - 9*c**4\/40 + 38*c**3\/3 + 123. Let t(l) be the third derivative of x(l). Factor t(g).\nAnswer: -(g + 1)*(g + 27)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 13*a**3 - 3*a**2 - 2*a + 4. What is the units digit of c(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4166 by 70533.\nAnswer: 4166\/70533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.569855 and -0.0154?\nAnswer: 0.008775767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4496, 4495, 4482, 4451, 4396?\n\"Answer: -b**3 + 6*b + 4491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*n + 69 + 91 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 11) to base 3\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -4 + 9 - (0 + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 f when four letters picked without replacement from fffxfffxffxf?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 30\/7 - 4\/14. Let h = 0 + m. Suppose -106 = -h*i + 90. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/3 and (8\/130)\/(22\/(-1925)) + 3.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 65?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(-6 + 2) - -10. What are the prime factors of (-685)\/(-15) + 2\/s?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3129866 - 81?\nAnswer: -3129937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -366810*g**2 + 3*g + 9175118?\nAnswer: -733620*g + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 2*h - 3. Let s be b(3). Let z = 148.5 - 149. What is the nearest to 1 in -5, z, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 267*b + 3552. What is c(-14)?\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and 210.\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 50015.16 and -239.\nAnswer: 49776.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -1. Let n(w) = -2*w - 7. Determine 4*d(y) - n(y).\nAnswer: 2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r - 27*r + 27315 = 0. Let v = -483 + r. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5*q - 12. Let c(l) = -2 - 11*l - 17*l + l**2 + 27*l - 1. Give c(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10032677 - -920.\nAnswer: -10031757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -1268483*y**2. Let k(d) = -2*d**2. What is b(k(x))?\nAnswer: -5073932*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (19\/3)\/(((-528)\/144)\/(-11))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5531.9 - 5532. Let l(x) = 2*x**3 + 2*x**2 - 2*x - 1. Let y be l(-2). Which is the nearest to w? (a) 3\/2 (b) -0.3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.11 - 0.18. Let h = s - -0.27. Which is the closest to h? (a) 0.2 (b) 4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 13, 2, -26 in decreasing order.\nAnswer: 13, 7, 2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 96*m**2 - 2*m**2 + 16*m**2 as y*m + h*m**2 + d and give h.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1252 + 2471 = -38*g - 8*g + 1423 for g.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -66.48 and 0.5.\nAnswer: -65.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 7) to base 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*r + 4865 = 425*r - 163*r for r.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/8? (a) 0.1 (b) 3.74 (c) 1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 2*v - 2 = 0, 2*v + 9 = 37002*g - 37011*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4565919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.628783 rounded to 3 decimal places?\nAnswer: 6.629","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 674349628 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: What is 445 minutes after 8:46 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8 - 1)\/9*12. Let r be ((-6)\/324*-6)\/(m\/(-9)). What is the fourth biggest value in 2, r, -2, 2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 - 5*b + 5*b)*(17 + 2 - 5).\nAnswer: 14*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, c: 3, v: 2, u: 1, m: 2, w: 2}. Give prob of sequence ucmv.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -482.2 + 482.5. Which is the nearest to 0? (a) 1 (b) -94\/13 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1240065 - -17029.\nAnswer: -1223036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -985 - -1000. Which is the nearest to -1\/2? (a) -19 (b) f (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -59.091 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 221 divided by -5221\nAnswer: -221\/5221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*g = -6*g - 3707 + 3755. Solve 14 = -4*y - x, 12 - g = 5*x for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -855, -944, -1197, -1698, -2531, -3780, -5529, -7862?\n\"Answer: -14*v**3 + 2*v**2 + 3*v - 846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 - -8. Let q be 12\/t*2\/3. What is the smallest value in q, -1\/8, 2\/9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 9:17 PM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*m + 2*w = 2, -3 = 2*m - 3*w. Let u be 56\/(-8)*(m - 1). Suppose 5*y + 6 = u*y. Solve -c + 4*p = y + 13, -c + p = 1 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {i: 2, p: 8, g: 3, h: 4, y: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 57159758 to the power of 1\/2, to the nearest integer?\nAnswer: 7560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 14*p + 7*p**2 + 13*p**3 + 9 - 7*p - 12*p**3. Let q be v(-5). Calculate the highest common divisor of q and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88 = c + 23*n, -c + 0*n - 4*n + 5 + 7 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-112)\/21*(-18)\/(-12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3614.5 and 0.2?\nAnswer: -722.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (-12 - (-30 + 10))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 2 - 12 - 1 - 401*c.\nAnswer: -401*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8314 - -9433. What is the remainder when u is divided by 373?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -367 + 371. Solve 2*i = 6*m - m + 24, h*i + m = 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*y + 216832 = 87*y + 131*y. Is y smaller than 1232?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -97 or -96?\nAnswer: -97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -9. What is the smallest value in -1\/6, -2\/5, j?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4 (b) -3.51 (c) 33 (d) -1\/3 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -4*p - 2*j + 12, 0 = 2*p - 4*j - 88 + 58 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 14796 to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 24.23 and 0.00531?\nAnswer: 24.22469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43360, -44467, -45572, -46675, -47776?\nAnswer: -48875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 2\/3 (b) 0.3 (c) 0.07 (d) 281 (e) -1\/4 (f) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9022 to the power of 1\/2, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*y**2 - 30 + 32 - 2.\nAnswer: 19*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 192826 (b) -3 (c) 0.5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 229*k - 1039. Calculate u(6).\nAnswer: 335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*y**2 - 2)*(-8 + 25 + 21)*(90*y - 169*y + 86*y).\nAnswer: -532*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6707 is divided by 273.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of a**7\/42 + a**6\/20 + a**5\/40 - 20*a. Factor m(r).\nAnswer: r**3*(r + 1)*(2*r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3*h - 323, -h - x = 74 + 27. Suppose 184 = 4*u + 1612. Let i = h - u. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 130239468 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -104489 or -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -75274 times -1?\nAnswer: 75274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112)*1)**2 + sqrt(112))*1*4*-2.\nAnswer: -896 - 32*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((-1 + sqrt(1620))*6)**2 - sqrt(1620)) + 3.\nAnswer: -1314*sqrt(5) + 58356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 214086 and 11047298.\nAnswer: 2302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) - -6*(sqrt(80) - 1*sqrt(80)) - (sqrt(80)*-2 + -5))**2 + ((0 + sqrt(80))*6 + -2 + sqrt(80)*-1)**2.\nAnswer: 40*sqrt(5) + 2749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t + 4. Let g be b(1). Suppose 7 = 6*h - g. Solve 0 = 2*c + h*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {w: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 60*b**2 - 121*b - 292. Give l(-58).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 6.22. Let q = y + -0.02. What is the second biggest value in -4\/3, 1\/3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61889488?\nAnswer: 2, 3868093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*v - 1161 + 789 = -41*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2 + 16. Let w(m) = 31*m**2 + 15*m + 5. Let z(c) = 6*c**2 + 3*c + 1. Let b(g) = w(g) - 5*z(g). Calculate q(b(p)).\nAnswer: 2*p**4 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 14, 19, 34, 65, 118, 199?\n\"Answer: v**3 - v**2 + v + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 693, -0.1, -453?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*i**(-5))\/i)\/((i**(-35)*i)\/i))\/(i\/(i\/i**23)*i*(i*i**(-2\/21))\/i*i) assuming i is positive.\nAnswer: i**(128\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 26*z**3 - 3*z**2 + 7*z - 6. Let j be i(1). What is the first derivative of -40 - 73*g + 18 + j + 11 wrt g?\nAnswer: -73","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8754912 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**4 + 3605*i**3\/3 - 350957*i**2 - 6094263*i + 11126430 = 0. Calculate i.\nAnswer: -18, 5\/3, 609","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 340151224?\nAnswer: -340151215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 159979 (c) -1\/3 (d) 36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -4646 (c) 0 (d) -0.175\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.27 and 496?\nAnswer: 498.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78 - ((-4 + 19 - 17) + -19).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2040)\/(-112))\/17*(432\/(-40))\/9?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2803*q**2 + 75675*q + 158. Calculate y(27).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293 is divided by 78?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = r + 21. Let l be 1\/r + 1596\/(-63). Let i = 32 + l. Calculate the greatest common factor of i and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -4*i**4 - 472*i**3 - 1380*i**2 = 0.\nAnswer: -115, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 688 + -7570\/11. Which is the nearest to 14\/9? (a) 4 (b) s (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 57, -1, 2 in descending order.\nAnswer: 57, 2, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 44 = 2*f + w, 79 = 3*f - w. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9500577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q**3 + 4*q**2 + 7. Let c(u) = 4*u**3 + 5*u**2 + 6. What is 4*c(f) - 5*g(f)?\nAnswer: f**3 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 2*n + 1. Suppose -2*k + 4 = r, 5*r - k = r - 11. Let q be r + -3 + (3 - (-1)\/(-1)). Let h(b) = -2*b**2 - 2*b - 1. Calculate q*w(a) - 2*h(a).\nAnswer: a**2 - 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, m: 9}. What is prob of picking 1 m and 2 t?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 751 + 899 = v - q, v - 1625 = -4*q. Suppose x - 5*b + 116 = 453, 5*b + v = 5*x. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5530153 and 899635.\nAnswer: 1487","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -209 - -149 - -65 - ((-1)\/2)\/(4\/736)?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4*w - w + 0*w)*((-1 + 0 + 0)*(2 - 6 + 3) + 2 + 3 - 3 + 2 + 2 - 2 - 3 + 2 + 3).\nAnswer: 21*w + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 3*y - 3*y)*(-2*y + y + 0*y) + y + 2 + 2*y**2 - 2.\nAnswer: 3*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1631232 and 39825.\nAnswer: 1593","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/25 of a century in years?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 5*s**3 - 30*s**2 - 30*s + 21. Is m(22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b - 6. Let o be w(-6). Let y = -26 - o. What is the highest common factor of 32 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1259*k**4 - 8*k**3 + 2*k**2 + 2*k + 965436 wrt k.\nAnswer: 5036*k**3 - 24*k**2 + 4*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.06 - 0.06. Suppose -3*m - p + 17 = m, 0 = -4*m + 2*p + 2. Which is the closest to u? (a) -2 (b) m (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 9}. What is prob of sequence zz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00025574762 rounded to seven dps?\nAnswer: 0.0002557","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -9*s**3 - 2*s**2 - 6*s - 3. Is y(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100111001111110 (base 2) to base 6\nAnswer: 233010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1720098 + 2?\nAnswer: 1720100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21374 is divided by 1608.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 132 - 127. Suppose -g*w + 3*l = -341, l = -3*w + 170 + 43. What is the lowest common multiple of w and 8?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -j**5\/100 - j**4\/5 - 3*j**3\/2 - 167*j**2\/2 - 2*j + 173. Let p(b) be the second derivative of d(b). Solve p(u) = 0 for u.\nAnswer: -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -2622800.\nAnswer: 1\/524560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -200825\/123063 - -2\/6477. Let z = 2\/57 - k. Find l such that 0 + z*l**3 + 0*l + l**5 - 1\/3*l**2 - 7\/3*l**4 = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6001 divided by 200\nAnswer: -6001\/200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-1*10\/5*11\/(-2)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o - o - o)*(-55 - 13*o + 55) in the form k*o**2 + a + i*o and give k.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15448889881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13565 + -10680. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 450 = 2*u + 398, -52 = -62*n - 2*u for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millisecond in microseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (286\/(-1001))\/(20\/14)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 815, 1624, 2433, 3242, 4051?\n\"Answer: 809*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 7:53 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 5 + -6 + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1146)\/9*(-6)\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rafj when four letters picked without replacement from {d: 1, a: 2, r: 1, j: 1, f: 1, b: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15345 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 35908880?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and 50227?\nAnswer: 50224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*h - 2*x - 560295 = 111*h, -x + 224127 = 2*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k. Let x(f) = f**2 - 4*f + 3. Let n(y) = 2*l(y) - x(y). Suppose 62*u = 15*u + 188. Give n(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 2*o**2 - 1. What is the remainder when 31 is divided by a(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s\/((s\/(s\/s**(-3)*s))\/s))\/s**5)**(1\/8))**5)**(-34) assuming s is positive.\nAnswer: s**(-85\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of 7*g**6\/30 - 10*g**3 - 2*g**2 + 3*g - 48. Let f(p) be the second derivative of k(p). What is the derivative of f(c) wrt c?\nAnswer: 84*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/2, -0.1, 1, 130, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 99+-11636826\nAnswer: -11636727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of ((-179870)\/(-28) - (-32)\/448) + -4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-3 - (-1 + 3)) + (83 - (37 - 3)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**2 - 5*f + 1. What is the tens digit of z(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 18*w**4\/7 - 2650*w**3\/7 - 14352*w**2 + 991000*w\/7 - 215232\/7 = 0.\nAnswer: -38, 2\/9, 8, 177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 590221289?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25440 + 43147. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v + 3. Let q(d) = -5*d + 6. Let l(p) = 6*q(p) - 11*s(p). Let o(t) = -4*t**2 + t. Let j be o(1). Calculate l(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 768468691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 y when three letters picked without replacement from mzyzyzzmmzmmmzm?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c + 0*c - 2*c)*(58*c - 108*c - 32*c - 290*c) to the form s*c**2 + u*c + b and give s.\nAnswer: 372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -0*r - 2*v + 24, 5*r - 2*v - 46 = 0. Calculate the greatest common factor of r and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gq when two letters picked without replacement from {g: 8, z: 1, q: 4}?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -4*m**2 + 4*m - 1. Let w = 6 - 4. Suppose w*o - 18 = -0*o. Let d(x) = -17*x**2 + 17*x - 5. Give o*g(h) - 2*d(h).\nAnswer: -2*h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 4.56255?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 + 0*v**2 + 2*v**2)*(0*v**2 - v**3 + 0*v**2) + 0*v + 2*v**5 + 0*v + (3*v**4 - 5*v**4 + v**4)*(v + 1 - 1).\nAnswer: -v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -291*h**4 - 225 with respect to h.\nAnswer: -1164*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 464, -1\/7, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5551\/(-5978)*-4*(-1)\/(-13).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -69 + 75 - ((12 - -3) + -1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -178aa (base 14) in base 15?\nAnswer: -128b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1, 13, -90?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 10*l**2 - 18*l + 69. Let i be f(6). Suppose 6*w + 57 = 7*w - 4*h, -5*w + 2*h + i = 0. Calculate the highest common factor of w and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of l**3\/3 + 3*l**2\/2 + 10*l + 20. What are the prime factors of v(-11)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3d4 + -a0?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - 8. Let d(m) = 220*m**2 - 2640. Let h(x) = -330*c(x) + d(x). Let f(u) = 8*u**2. Determine h(f(a)).\nAnswer: -7040*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/((-10)\/(-25)) - 6. Let b be 14 + -12 + (-2)\/w. Solve -c - b*c = 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26472864 divided by 33?\nAnswer: -802208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a kilometer in meters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 227334, 227337, 227340?\nAnswer: 227343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14670 and 52725?\nAnswer: 51565050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0375585044019 - -0.3.\nAnswer: 0.3375585044019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + 2*q + 4. Calculate p(6).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(-56 + 28*v + 106 - 57).\nAnswer: -56*v + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16907.\nAnswer: 11, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 9*r**2 - r - 1. Let n be k(-1). Suppose 2*h + 11 = q - 0*h, 0 = -3*q + 4*h + 35. What is the remainder when -3*(-105)\/n*1 is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/5*(15 + 0 + 5). Let j = 8 + -5. Suppose 0 = j*g - 33 - b. Calculate the remainder when 74 is divided by g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.6 - 0.1. Let j = -2.7 + m. What is the third biggest value in j, 2\/3, 0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4+415927\nAnswer: 415923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, q: 1, f: 3, h: 1, t: 1, i: 1}. Give prob of picking 1 i and 1 h.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Is 7670877 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x = 11*x - 1. Let y = 5 - x. Suppose u = 2*p + 120, -u + p = y*u - 564. Calculate the greatest common divisor of u and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -224*w + 220*w - 66, -3*v - 51 = 3*w for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -162*j - p - 3 = -161*j, -2*j = 5*p + 15. Solve d = h + 8, 3*d - 6*d - 3*h + 6 = j for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685676 times 0.17?\nAnswer: 116564.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5798 and 3626426?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -20664 and 572.876845.\nAnswer: -20091.123155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 129 and 172.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -538 + 341. Let i = 122 + q. Let v = i + 220\/3. Which is bigger: v or -7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/4)\/(6\/(-36)) + (-24)\/32. Find u, given that -3\/2*u - i*u**2 - 3\/4*u**5 + 9\/4*u**3 + 0 + 3\/4*u**4 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 155, 160, 165, 170, 175, 180?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 69 - 23. Let a = s + -43. Sort 2, -3, a in increasing order.\nAnswer: -3, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/20*(-850)\/(-3825)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5516 (base 7) to base 6.\nAnswer: -13045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 4*y**2 + 8*y**2 - 5*y**2. Let f(h) be the first derivative of -40\/3*h**3 + h + 70 + 0*h**2. Give k(f(r)).\nAnswer: -3200*r**4 + 160*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1*6*4*(sqrt(2) - (-6*sqrt(18))**2) + -3.\nAnswer: -24*sqrt(2) + 15552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7408166 times 0.3?\nAnswer: 2222449.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -8203530.8 to the nearest 10000.\nAnswer: -8200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(228)*-5 + sqrt(228) + (6*(sqrt(228) - 3*sqrt(228)) - sqrt(228)))\/((1*sqrt(48))\/sqrt(4) - sqrt(12) - (sqrt(60) + sqrt(2160))\/sqrt(5)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39*m**3 - 157 - 43*m**2 + 159 - 39*m**2 + 442*m**3 wrt m?\nAnswer: 2886","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4038581*x**2. Let q(c) = 24*c. What is i(q(h))?\nAnswer: 2326222656*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.3? (a) 0.5 (b) -0.4 (c) 3\/5 (d) -0.54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 23*k**2 + 19*k - 7. What are the prime factors of h(-7)?\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 2:39 AM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b - 8dc25?\nAnswer: -8dc18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*1*sqrt(432).\nAnswer: -60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -81 divided by 1\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 150*g**3 - 7194*g**2 - 288*g - 6. Give o(48).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 c when three letters picked without replacement from ycaaaayazcyayyzpap.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -3, 2\/7, 11, -0.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-24)\/(-10) - 6\/(-10). Let s(x) = x**3 + 5*x**2 - 2*x**3 + 4*x - 3*x - w. What is the units digit of s(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3*z = -17, -2*g = -3*g + z - 5. Let d(p) = 2*p**2 + p - 2. What is the units digit of d(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-20) - (-23)\/20. Let m = -0.2415 - 1.7585. Let v be (0\/2)\/(-2) - 0. Which is the biggest value? (a) m (b) v (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 1 = 3*d, -4*d - 6*r + 5*r + 16 = 0. Solve -d*n = -6*n + 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 624 and 328.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u + 7. Let j be b(-3). Suppose -6 + j = -i. Let a(h) = 3*h**3 - 2*h**3 - 4 - h + i. Calculate a(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -2\/9 (c) 1640 (d) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(4\/15))\/(-1). Let q be (z\/9 - 0)\/1. Let 2\/3*i + 0 + q*i**2 = 0. What is i?\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 92274 and 209586?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 8*f - 2. Let h be y(-12). Let s = 202 + h. Suppose -2*x - 2*n = -55 + 3, 0 = -4*x - n + s. Is x a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 - -6 - (-6)\/2. Suppose -2\/5*x + 6\/5*x**2 + 0 - 8\/5*x**w + 0*x**3 = 0. Calculate x.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**3 - 16*t**2 + 10240*t + 458752 = 0. What is t?\nAnswer: -64, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/(-90))\/(890\/(-2225))?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/155 and -143\/60?\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3942842564?\nAnswer: 2, 643, 1532987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 78*y - 1 + 81*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-2))\/((-2)\/8). What is the derivative of -1 - y - y - t*y + 2 wrt y?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -77*f**2. Let o(j) = -209457*j**2. Calculate o(p(z)).\nAnswer: -1241870553*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/10)\/((-77)\/((-2002)\/(-26)))*-74*1.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -836 divided by -209.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 1719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/12 - 12\/(-9). What are the prime factors of s - (-10*1)\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 7. Let p = -11 - -15. Let s = 9 - p. What is the closest to 1 in d, s, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -94*a + 295 - 13. Determine l so that 2\/13*l**a + 0 + 12\/13*l**2 - 14\/13*l = 0.\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7601.524 millilitres in litres?\nAnswer: 7.601524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 4, -20, -5 in decreasing order.\nAnswer: 5, 4, -1, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -9, -2, -4, 2, 134, 900 in descending order.\nAnswer: 900, 134, 2, -2, -4, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 5:34 AM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2015411990 and 0.\nAnswer: 2015411990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.042? (a) -4 (b) 958 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/(2\/(2 + 0)). Suppose h = 3*w + v, 4*w - h = -3*h - 10. Let m = 0 - -1. Which is the nearest to 0? (a) m (b) -2\/3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -218*h**5\/5 - 299*h + 125. Differentiate g(d) wrt d.\nAnswer: -872*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 29*x**2 + 119*x - 1072. Calculate j(26).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1914 and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 15*b**2 - 8*b - 9. Give v(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -16876*p - 1586360. What is f(-94)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-7)\/14 - -2)*(-2)\/(-3) + -1. Suppose 2*u + 2*j + 10 = 0, 4*u + 2*j + 20 = 3*j. Sort u, -2, i in ascending order.\nAnswer: u, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -6*s**2 + 37*s + 51. Give f(8).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27154907 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/99472 and -57\/62170.\nAnswer: 497360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 107365 and 109.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (210\/7)\/((12\/(-8))\/((-27)\/36))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**5 + 72*u**4 - 351*u**3 - 1014*u**2.\nAnswer: -3*u**2*(u - 13)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u + 5. What is the common denominator of h(4) and -73\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11.013 in -0.3, -3\/7, -4, -3\/2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttwt when four letters picked without replacement from tttw.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 134.9319 - 135. What is f rounded to three dps?\nAnswer: -0.068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 13*z**2 - 40*z. Let f(s) = -10*s**2 + 41*s. Give 7*f(l) + 6*u(l).\nAnswer: 8*l**2 + 47*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 414775869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 c when four letters picked without replacement from {u: 5, w: 2, c: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 6*g + 58 = 96, -3*g + 0*g = -2*y + 17 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 73 = -3*c, -24 - 15 = 3*r - 3*c. Let u = -2 - r. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124 + (0 - -13 - (94 - 94)) + (-1 - -1).\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -3. What is the second derivative of -3*q + 0*q**3 + 3*q**2 - 3*q**z - q**3 wrt q?\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5*x + 76. Give y(-11).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (5 + -4) - 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 122*n**2 - 3163*n - 135. Determine m(22).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 212619 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 677 - 689. Let l(k) = 13*k**3 - 4*k. Let m(s) = -12*s**3 + 3*s. Calculate w*m(q) - 3*l(q).\nAnswer: 9*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*j**3 + 8*j**3 - 94*j**4 + 2*j**2 - 72*j**4 - 8*j + 157*j**4 in the form l*j + v*j**4 + c + i*j**2 + a*j**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12355, 50563, 114243, 203395, 318019, 458115, 623683?\nAnswer: 814723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 2*d = -88. Let v = -17 + d. Let k = v + 74. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 5567a6?\nAnswer: 5567a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 3*v - 16, -2*v - 21 = -k - 2*k for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 12:32 AM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3101*s + 2952 = -3095*s. What is the remainder when s is divided by 83?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/12 - (-8)\/6. Suppose -3*l + a*l + 32 = 0. Does 16 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(504)*-5)\/sqrt(2) + 1*sqrt(21)\/sqrt(3) + -5)**2*-5.\nAnswer: -29560 - 1450*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of 1\/12*q**4 + 5*q + 0 + 0*q**2 - 2\/3*q**3. Suppose -28*k = -21 - 63. What is r(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272)*-2 - sqrt(272))*-2 + -3.\nAnswer: -3 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/2 + 41*l**2\/2 - 88*l + 90.\nAnswer: (l - 2)**2*(l + 45)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2*h - 3*h = -12, 4*p + h + 6 = 0. Let b be 7 + (-3)\/p*-2. Calculate the greatest common divisor of 4 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of 43*f**9\/504 + 103*f**5\/60 - 6*f**2 + 7. Find the third derivative of x(p) wrt p.\nAnswer: 5160*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 8*i**2 - 11*i + 24. Let h be n(-5). Sort -2, h, -2\/7 in ascending order.\nAnswer: -2, -2\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 1008 + 6448. What are the prime factors of c\/2*(-26)\/(-104)?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.02 + -0.18. Let w = q + -0.8. Let f = -1.7 - 0.3. Which is the biggest value? (a) f (b) -0.5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -249.95657 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 345312 and 35279376.\nAnswer: 211676256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 840 = 31*l - 1020. Calculate the common denominator of 33\/20 and ((-10)\/(-75))\/(l\/(-1089)).\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 23, 4, 2\/77 in descending order.\nAnswer: 23, 4, 2\/77, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 60\/88 - (15 + 377\/(-26)). Sort 0.4, 1368, v.\nAnswer: v, 0.4, 1368","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 3:04 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 204472 and 3782?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 6:45 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2194\/612095 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43226\/9 + 5936. Let r = -1132 + v. Is r >= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 15 = 5*q - 4*q, 3*q = 4*v + 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bxjgzag. Give prob of picking 1 a, 1 x, 1 g, and 1 z.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.4 (b) 0.03066 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35669*u + 5569*u - 22610*u + 3368*u.\nAnswer: -49342*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*o = 26*o. Suppose -2*m + 9 = m. Solve -m*w + 6 = o, 5*j + 23 = w - 2*w for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2811094?\nAnswer: 2, 11, 13, 9829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10155 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000111000111 - 10?\nAnswer: -1000111001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -140 - -321. Let x = -174 + i. Solve -5*d - 3 = x for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -830? (a) 1 (b) -1 (c) -69 (d) 2\/7 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 723017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 1 = -0. Let a be -17 + 3 - y*2. Let n be -5*1*a\/15. Solve -4*l - n = 0, 0 = 2*c - l - 0 + 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2 + 2*c + 7. Is z(-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22392283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -19*o - 203. Let b be v(-11). Solve -4*c = -3*l + 2, -2*l - 5 = -b*l + 3*c for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4 - 4)\/(6\/(-2)))\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*l - 8*l - 10*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 20*h**2 + 19*h + 4. Let s(m) = 5*m**3 - 80*m**2 - 75*m - 15. Let r(t) = 25*o(t) + 6*s(t). Let r(q) = 0. What is q?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m**3 + 5*m**2 + m - 4. Calculate v(-4).\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 44, 19, -34, -121, -248, -421, -646, -929?\n\"Answer: -k**3 - 8*k**2 + 6*k + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(567) + sqrt(567)*-1 - (-3 + sqrt(567) + -2))**2.\nAnswer: -108*sqrt(7) + 603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*m - 269559802655 + 18*m + 269559802655.\nAnswer: 37*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - (5 + 25 + -8 - 61)) + (10 - 1)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6306291747 to the nearest integer?\nAnswer: 1848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0.4, -2, -0.3, 2411, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/3 - -5\/6. Let o = -6939\/2 + 3471. Solve 1 + t*r**2 + o*r = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of y**3\/3 + 5*y**2\/2 - 6*y + 11. Let d be g(-6). Suppose d*j + 2*j = 2*h - 58, 0 = 4*h - 5*j - 111. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 78179 + -78127.721. What is y rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*r*x**4 - 6*r*x**2 + 14015*r*x - r + 2200222*x**4 - x**2 + 4*x + 1 wrt x?\nAnswer: 336*r*x + 52805328*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 3*k. Suppose k = 2*r + 7*r - 2*r. Suppose r*a + 20 = 5*a. Solve 0 = -g + 5*g + a for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 140 = -6*y. Solve y*u = 4*u + 18 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y\/(y*(y\/(y**(-2\/3)*y))\/y))**(7\/4)\/(((y**5*y)\/y)\/y*y\/y**(5\/3)))**43 assuming y is positive.\nAnswer: y**(129\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 16*r = -47, 54*w + 3*r = 51*w + 48 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*x + 25 = 17*x + 2*l, -l + 20 = -5*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(14)\/sqrt(112) + -4)**2*-2 - (sqrt(1800)*1)\/(-2*sqrt(1089)).\nAnswer: -145\/4 + 49*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 2*o + 2360, 1 = -5*o + 26. Let a = c + 678. 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: Let f(a) = 5*a**2. Let k(x) = 17*x**2. Let h(b) = 4*b**2. Let p(g) = 18*h(g) - 4*k(g). Calculate p(f(q)).\nAnswer: 100*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, f: 1, w: 1, j: 1, h: 2, q: 2}. Give prob of sequence fw.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 11*j. Let x = -69 + 111. Suppose -7*u + 4*u + x = 0. Let z(r) = -23*r**2 + u*r**2 + 8*r**2. Determine f(z(s)).\nAnswer: -11*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182 = 4*i - 78. Suppose i = 4*r + 21. Let z be (2 - (-1 + -19)) + -2. Solve -v - c = 3*c + r, 5*v - z = 5*c for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -0.02.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -181*m**2 + 437*m - 177. Determine b(2).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 20*j**2 + 19*j**2 - 11 in the form o*j + g + u*j**2 and give u.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/113946 and -20\/89529?\nAnswer: 1253406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/9)*j**3\/j)**(-32) assuming j is positive.\nAnswer: j**(-640\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -23*m**3\/3 - 3*m**2\/2 - 17*m + 10. Let l(y) = -8*y**2 - y - 6. Determine 17*l(b) - 6*u(b).\nAnswer: 2*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 450.1251 nanometers?\nAnswer: 0.0000004501251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -815 to the nearest 10.\nAnswer: -820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyu when three letters picked without replacement from {c: 3, h: 2, n: 1, y: 3, u: 1, q: 8}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 465 = -8*t - 895. Let y = t - -258. List the prime factors of y.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3*r**2 + 51*r + 3. Let a be q(17). Suppose a*k - 2*p = 154, -5*k - p - 3 = -238. Calculate the remainder when k is divided by (-1 + 2)\/(2\/34).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4140 and 5.\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 2*g - 1, -w = 4*w - 5*g - 40. Solve 0 = -w*v - 4*q + 16, 1 = v - 2*q - q for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60388.2334 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 29*j = -96, 0 = -2*q + 3*j + 42 - 62 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.37861 decades?\nAnswer: 0.0037861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001524933 rounded to six dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -35*m + 40. Let g be x(-6). Find the second derivative of -75*u**5 + 252*u - g*u - 55*u**5 + 1 wrt u.\nAnswer: -2600*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5272\/3 - 31735\/18. Find the common denominator of -173\/30 and q.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1992 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: Divide -1626 by -782.\nAnswer: 813\/391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 7*b**2 - 9*b - 4. Let r be u(-8). Suppose -3*t - l = -11, t + l = r*l - 3. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72451745?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1492905.2 rounded to the nearest 1000?\nAnswer: -1493000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/163821533?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 65. Suppose -s = -4*g + 55, -g = 2*g - 3*s - 39. Let o be ((-28)\/m)\/(4\/g). Solve o*i - 20 = -2*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -61 - 42*t**2 + 67*t**3 + 64*t**3 - 132*t**3 with respect to t.\nAnswer: -3*t**2 - 84*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 9*x - 16. Let a be u(-8). Let c = a + -8. Let t = 65 + c. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*10\/48*48\/80.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (47 - 2) + (-1121 - -1180).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 77 = -8*u + x, u - 2*x - 10 = 0. Suppose -u = -8*k - 0. Suppose k*q + n = 877, -n = -0*q + 3*q - 1316. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.33394 micrograms in kilograms?\nAnswer: 0.00000002333394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46\/987 - 7757\/1974. Let s = t + 80\/21. Let m = 7 - 6.7. Which is the biggest value? (a) s (b) 1\/3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -163 divided by 1?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22005 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 994*z + 400578. Determine v(-403).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2565 divide 66015405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {i: 3, e: 7, w: 1, m: 5, k: 3}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(0 + 3\/(-6)))\/(-1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 11) to base 3.\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 25 - 1c1cc14?\nAnswer: -1c1cbcd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/64600 and 43\/665.\nAnswer: 452200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.880028 to zero dps.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-1) + 9\/((-117)\/(-65))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 z when two letters picked without replacement from xqdqxdxzxxqqqzzqqqqq?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.1 (b) -5 (c) 0.7 (d) 3603 (e) 1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 114 and 12.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 40*c + 184, 0*t + 4*c = -2*t - 2*t + 80 for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 93 = 3*y + 15, q + 4*y = 19. Suppose 8*v + q = -1. Let x(d) = -d**3 - 2*d**2 + 2. Give x(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4489 rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of 39*d**7\/70 + d**5\/30 - d**4\/12 - d**3 + d**2 - 9. Find the second derivative of k(s) wrt s.\nAnswer: 1404*s**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -o**7\/168 + 7*o**4\/12 + 11*o - 3. Let p(n) be the third derivative of w(n). Let y(v) = -3*v. Give p(y(u)).\nAnswer: -135*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1957 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2438500.\nAnswer: 2, 5, 4877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(24\/14 + -2). Let f = -4 - d. Suppose f*b = -b. Put -2, b, 1 in descending order.\nAnswer: 1, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97 + 263 + h - 4*h + 4*h.\nAnswer: h + 166","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 625*h**4\/2 - 1309675*h**3\/2 + 5536168*h**2 - 11724766*h = 0. Calculate h.\nAnswer: 0, 106\/25, 2087","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 7*d**2 - d - 56. Let x be o(8). Suppose 15*l - 5*f - 3545 = 10*l, 5*l + f - 3533 = x. Does 9 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121, -124, -129, -136?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26915 - 26914.7. What is the smallest value in -0.2, -2.3, 4\/3, g, 1?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-78)\/4420*(-272)\/144?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 238582781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 10*d - 110 = 0, -3*d - 1857 = n - 1898 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zyszwyswwzzn. Give prob of picking 1 w, 2 y, and 1 z.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -278 (base 9) to base 7.\nAnswer: -452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 12:11 PM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*x - 53*x + 4*m - 24 = 0, -3*x + 70 = 5*m for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -42*n**2 + 4614*n + 1029. What is q(110)?\nAnswer: 369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7566, 15132, 22710, 30300?\n\"Answer: 6*m**2 + 7548*m + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 84374134?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -0.1, 172, -3, 1340?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6.5, 0.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18.5 + 8. What is u rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -25*x - 183 - 188 - 3*x**3 + 376 + x**3 - 28*x**2. Calculate m(-13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 5*z - 43 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.00288, 4, -0.3, -1573 in decreasing order.\nAnswer: 4, 0.00288, -0.3, -1573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30143, 243480, 822541, 1950188, 3809283?\nAnswer: 6582688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 n when three letters picked without replacement from yyyynyn.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-99016554.\nAnswer: -396066216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 5:00 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v**3 + 13 - 5 + 5 - v**3 + 3*v**3 - 31*v**2 to the form l*v + h*v**2 + x + p*v**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17563664*4.\nAnswer: -70254656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - a - 5. What is v(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 172 * 0.05449\nAnswer: 9.37228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -77*c + 76*c. Sort 33, -9, c in increasing order.\nAnswer: -9, c, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 6 = -2*g + 2*a, 5*a = 4*g + 15. Let l be (0\/(-2))\/(g - -1) + 15. Solve -l = -0*q + 3*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - (-12)\/3) + 0. Let c = -283 - -1985\/7. What is the biggest value in 0.5, c, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = k - 12 - 2, 3*k = -3. Let j be g\/12*8\/(-9). Which is the third biggest value? (a) j (b) 1\/4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 122 + -126. Let h(m) = -44*m. Let p be h(-1). Let s = p - n. Does 14 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-one halves of a meter?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/24 of a day?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (38\/19)\/(2\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, c: 7, l: 1}. What is prob of picking 2 c, 1 l, and 1 o?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.21, 2\/17, 2079, 0.\nAnswer: 0, 2\/17, 0.21, 2079","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 6:36 PM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 159929 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 214*i - 6 - 17 + 39 - 16 in the form q*i + r and give q.\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, l: 3, e: 1, b: 1}. Give prob of picking 1 b and 2 p.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 702, 5582, 18836, 44652, 87218, 150722, 239352, 357296?\nAnswer: 508742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1535207591 to the nearest integer?\nAnswer: 1154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - (47 + -42)) + 47.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Divide -40387 by 518.\nAnswer: -40387\/518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*a = 2*b - 430 - 269, -a = -3*b + 20 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -63*t**2. Let l(o) = 2*o - 4*o - 331 - 334 + 665. Give n(l(k)).\nAnswer: -252*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + f - 2*f + 0 + 0 + (1 + 0 + 1)*(f - f - f))*(7 - 9 - 14).\nAnswer: 48*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 15990 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -319, -1358, -3133, -5680, -9035, -13234, -18313?\nAnswer: -24308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/3, 8\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2351*s. Let x(a) = 35*a. What is b(x(r))?\nAnswer: -82285*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23850877 + 23850859.0000035. Let f = 27 + -45. Let n = f - u. What is n rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3*p - 1)*(-2*p + 2*p - p)*(p**3 + 34*p**3 + 13*p**3).\nAnswer: -144*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 19*a**2 - 5. What is n(-19)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*7\/(-8)*926\/(-3241)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/9))**34)**(22\/7) assuming t is positive.\nAnswer: t**(1496\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1332 - -4?\nAnswer: -1325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 0. Suppose 4*w - 30 = -n + 3*n, -4*w - 2*n = -26. Suppose s = -3*h + 14, -w*h + 3*h + 24 = 2*s. Solve s = -o*f + f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - (18 - (14 - 10)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 10*w. Let a(z) = -z**2 + 20822. Give d(a(i)).\nAnswer: -10*i**2 + 208220","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165370.\nAnswer: 2, 5, 23, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 0*l - 10 + 9*l**2 + 3*l - 10334*l**3 + 10333*l**3. Determine p(9).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-168*m**2 + 23*m**2 - 71*m**2 + (m - 2*m - m)*(3*m - 2*m - 2*m))*(-4 + m**3 + 4).\nAnswer: -214*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 3*p**2 - 4*p + 4. Let m be u(-4). Suppose r = m*r. What is the lowest common multiple of 2 - (r - 1)\/(-1) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.118 + -42438.\nAnswer: -42438.118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 536951*a**3 - 2*a**2 + 2*a - 1. Let q be w(1). Let v = -336950 + q. Round v to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8618, 8616, 8612, 8606, 8598?\nAnswer: 8588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 - -26. Solve -1 = -t - k for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of 53*s**2\/2 + 2*s + 2. Let q be p(2). What is the common denominator of 2\/(q\/(-75)) + -3 and -23\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - -3) + ((-572)\/39 - -12). Let g(x) be the first derivative of o*x**3 - 7*x - 5 + 3*x**2. Calculate g(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 5*i + 9, -18*i = 2*d - 21*i - 8 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 10*t**2 - 17*t - 363. Is z(14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -101, -5, 49, 20, -1 in ascending order.\nAnswer: -101, -5, -3, -1, 4, 20, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-96)\/(-216) + 23\/9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2*r - 22 + 0 = 0, -3*c + 3*r + 12 = 0. Let v be (-1)\/3 + 46\/(-42). Let n = 358 + -2504\/7. What is the closest to n in v, c, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*x - 778 = 235*x - 1894. Solve -3*b - 2*b + 12 = -r, x*b = -r + 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 16*t + 18*t - 9*t - 12 + 2*t**2 + 1. Let f be v(-13). Are f and 2\/13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 2*q + 5*i - 25, 5*i = -5. Suppose -s - 4 + 5 = 0. What is the least common multiple of q and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -56*o**2. Let f be k(-1). Let l = -278\/5 - f. Which is the second biggest value? (a) l (b) -0.3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 121 + -41427?\nAnswer: -41306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3852 (base 13) to base 3\nAnswer: -101222200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 182593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*f - 17 = -22*f + 2*c, -5*c - 30 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/(-2)*12\/(-126). What is the closest to 0 in 0, 1\/4, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a**2 - a - 12. Let g be z(7). Find the first derivative of -407 + 136 + g + 93*r**3 wrt r.\nAnswer: 279*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21625076 (base 9) to base 7.\nAnswer: 154660302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.51 - 6.508. Let p = k - -5. Round p to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -112.96299.\nAnswer: 45.185196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6464, -13093, -19734, -26393, -33076, -39789?\nAnswer: -46538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -4*r - 2 + 6, 5*r - 22 = -2*c. What is the smallest common multiple of 2 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 w when two letters picked without replacement from {u: 7, w: 2}?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1024365 and 684363.\nAnswer: 4359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from awbvbwwwbwwwsaawa. What is prob of picking 1 w, 1 b, 1 a, and 1 s?\nAnswer: 24\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n\/(n*n**26))\/((n**(-5\/4)\/n)\/n))**(-14) assuming n is positive.\nAnswer: n**(581\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1306357?\nAnswer: 13, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 398*w - 21. Let u(m) = -795*m + 37. Calculate 4*u(i) + 7*x(i).\nAnswer: -394*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11000 + -1201031?\nAnswer: -1212031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - 2*a - 3. Let l = -4 - -5. Suppose -w + l = 3. Determine i(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 3 + 1 + (1 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2624 and 2298.\nAnswer: 3014976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 1 = 4, 3*r + 5*d = -23. Let a be (-51)\/(-2) + (-3)\/r. Find the third derivative of 21*u**5 + 3*u**2 - a*u**5 + 1 - 1 wrt u.\nAnswer: -300*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 164643*x**4 - 243470*x?\nAnswer: 1975716*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 63.6707ns?\nAnswer: 0.0000000636707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h + 2*h - 592655 - 4332*h**3 + 592655.\nAnswer: -4332*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1581a51 (base 11) to base 9\nAnswer: 5058856","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**2 + 7*f + 8. Let q(z) = -972*z. Determine q(k(v)).\nAnswer: -1944*v**2 - 6804*v - 7776","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1720 divided by 5?\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.74765 centuries in years?\nAnswer: 8274.765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 63 = 273. Calculate the highest common divisor of h and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6357.09984 - 6358. Let o = 0.89 + r. What is o rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66*z - 31*z + 2 - 37*z - 2 to the form a*z + m and give a.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**8)\/(m*m**(-1\/5)*m))\/(m\/((m*m**(2\/3))\/m)*m*m**(-5\/4)*m)*(m**(-2\/5)*m)\/m**(-6)*(m**(2\/7)\/m)**(-1\/3) assuming m is positive.\nAnswer: m**(-1279\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -0.15, -55, -1\/2 in decreasing order.\nAnswer: 1\/2, -0.15, -1\/2, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 51533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 = -i + 2*k, -2*i - 2*k - 74 = -344. Solve i + 259 = 78*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of 132 + 2*a + 10*a**2 - 11\/2*a**3. What is the first derivative of g(n) wrt n?\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7113 - -3220. List the prime factors of l.\nAnswer: 10333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13501 is divided by 755.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 63308898*z**3 + 9768049*z**2 wrt z?\nAnswer: 379853388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -69 (b) -10 (c) -15\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 188213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2448771, 2448772, 2448775, 2448780, 2448787, 2448796?\n\"Answer: v**2 - 2*v + 2448772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4*y. Let x = 1 + 1. Let u(v) = v**2 + 3*v**2 - x*v**2. What is a(u(p))?\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -2*a. Suppose 0 = -3*i - a*i + 6. Find the third derivative of -3*c**4 + 3*c**4 + 3*c**2 + i*c**5 wrt c.\nAnswer: 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**2 + 65*z + 70. Let p be x(40). Let y(r) = -17*r**2 + 7*r + 5. Let w be y(-4). Let u = w - p. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1198 + -a6?\nAnswer: -1271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10306043 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 314712944357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -28. Let a(t) = -30105*t + 16*t**2 - 96*t**3 + 97*t**3 + 30069*t - 3. Let w be a(m). Put w, -5, 4 in ascending order.\nAnswer: -5, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5\/8 (b) -2\/11 (c) 41\/5 (d) 12.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is a38c (base 14) in base 10?\nAnswer: 28152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220 = 4*b - 164. Let h be ((-21525)\/b)\/(-5)*8\/10. Let k = 477 + h. What are the prime factors of k?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 9:33 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 f when three letters picked without replacement from {a: 1, f: 1, z: 3, q: 3, p: 2, x: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 13*z + 24 = -4*z, -3 = 5*s - z + 37 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a centimeter in micrometers?\nAnswer: 62000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 662+1245.3\nAnswer: 1907.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.19 + -1.2. Let z = 0.19 - c. What is the second smallest value in -2, z, 2\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(sqrt(14)\/sqrt(7)*1) + 1 + (sqrt(126)\/sqrt(7)*6 + -4)**2.\nAnswer: -143*sqrt(2) + 665","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 4*j + 6. Let n(x) = 3*x + 5. Let p(q) = -5*n(q) + 4*s(q). Let k be p(3). Suppose f = k*f - 8300. What is f rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d = 7*d - 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/77 and 74\/12375.\nAnswer: 86625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.01 + -0.47. What is the nearest to -0.1 in 3, x, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lr when two letters picked without replacement from {l: 1, p: 2, r: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*y - y = -54, 2*p - 5*y = 8. Suppose p = -4*z + 490. Is z a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**2 - 9*n - 38. Let v be l(7). Let p(r) = r**3 + 6*r**2 - r - 1. Calculate p(v).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 79 - 62. Suppose -2*f + q = -42 + 14, 8 = f - 2*q. Which is smaller: c or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1113773 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1380 and 1955.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31414*v**5 + 40*v**4 + 2*v**3 + 5769021*v**2?\nAnswer: -1884840*v**2 + 960*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 - (22 - (-21 + 41))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 436542 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2198 by 2.\nAnswer: -1099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 252\/98 + (-6)\/(-14). Let d(l) be the second derivative of 0*l**w - l + 0*l**2 + 0 - 1\/20*l**5 - 1\/12*l**4. Factor d(u).\nAnswer: -u**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**2\/9 - 7432*v\/9 + 889024\/9 = 0. Calculate v.\nAnswer: -3832, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 36, 63, 90, 117, 144, 171?\n\"Answer: 27*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 198 = 42. Let v = r + -41. Let g(a) = -a**3 - 2*a**2 - 3*a - 2. Let n be g(-2). Sort n, -5, v in ascending order.\nAnswer: -5, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of 0*c**3 + 1\/42*c**6 + 0*c + 0 + 8*c**2 - 2\/105*c**5 - 2\/245*c**7 + 0*c**4. Let z(h) = 0. Calculate h.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10379692 to the power of 1\/2, to the nearest integer?\nAnswer: 3222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -40701908 and -40701904 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -174, -409, -728, -1125, -1594, -2129, -2724?\nAnswer: -3373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -124 (b) -0.5 (c) -3 (d) 6 (e) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h + 9. Let i be p(5). Suppose 0 = i*b + 20, 2*m - b + 3 = 4*m. Suppose -14*t = -2*t - 48. Solve t*z - 15 = -5*x, -2*x - 4 = m*z - 10 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**2 - g. Let x = -371 - -373. Let c(d) = d**3 - d**2. Calculate x*z(p) - 2*c(p).\nAnswer: -2*p**3 - 2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 97, 5, 2163, 7 in descending order.\nAnswer: 2163, 97, 7, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bw when two letters picked without replacement from bwbi.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 7:02 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 60 - 16. Suppose -7*q = -4*q. Calculate the remainder when (q - 1)\/(2\/(-82)) is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*f - 80*f = -1596 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/4)\/(364\/1456)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 63 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -30969 + -10?\nAnswer: -30979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100011011011 - 100?\nAnswer: -1100011011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(931) + sqrt(931)*2) - sqrt(931))**2 - (-2*sqrt(931) + 2)**2)*-2 + -5.\nAnswer: -111717 - 112*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a milligram in micrograms?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 9:21 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7 + 11)*(-2)\/(-28). Let r be (18\/10)\/((-30)\/(-100)). Let x be (r\/(-4))\/((-3)\/(-18)). Which is the biggest value? (a) o (b) 0.5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (14 - (-63804)\/(-65))*10\/(-4) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13280? (a) 1.2 (b) -1.6 (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*(-40)\/(12480\/39).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 5\/4 (c) -1\/171543\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/((-6804)\/24))\/((-5)\/(-70)*-6).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111610 rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -868*s**3\/3 + 564*s. Let n(i) = 2*i. Give n(m(g)).\nAnswer: -3472*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 3:08 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**2 + 0*d**2 + 65*d**3 + 15*d**3 - 2 + 1 as n + g*d + b*d**2 + h*d**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -376c7 - -1a?\nAnswer: -376ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1370 + 1372. What is the third smallest value in -3, -26, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6 - -11250744255870.\nAnswer: 11250744255870.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k**2 + k**2 - k**2)*(-3789 + 1134 - 224 - 1983 - 598) to the form m*k**2 + g*k + l and give m.\nAnswer: 5460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-5*sqrt(133)*-1*-3)\/((4*sqrt(84)*-1)\/(sqrt(1200) + sqrt(1200) + 1*sqrt(1200) + sqrt(1200))).\nAnswer: 750*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 4, 27, 8, -1\/13.\nAnswer: -0.3, -1\/13, 4, 8, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -r**6\/90 - 11*r**5\/20 - 8*r**4 - 128*r**3\/9 - 78*r. Factor n(i).\nAnswer: -i*(i + 1)*(i + 16)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, q: 1, s: 7, c: 2, w: 3}. What is prob of picking 1 s and 1 q?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 2*t**2 + 2*t. Let v(s) = 2*s**3 - 3*s**2 + 2*s. Suppose -2*h + 21 = d - 6*d, -6 = -3*d - 5*h. Give d*k(m) + 2*v(m).\nAnswer: m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 75 - 22. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v. Let x be (25\/(-100))\/(2\/(-8)). Let h be 0 + (1 - -1) + x. Let z(c) = 10*c - 5*c + 1 + 0. Determine h*u(f) + z(f).\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -16\/3*m**3 + 0*m**2 + 0*m**6 - m + 0*m**4 + 4\/5*m**5 - 72 - 1\/21*m**7. Factor i(y).\nAnswer: -2*y*(y - 2)**2*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 3 - 3)*(4*b**3 - 5*b**3 + 3*b**3)*(-2*b + b + 2*b).\nAnswer: 4*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 + 0*u**2 + 0*u**2)*(3 - 3 + u) + 7*u**2 - 94*u - u**3 + 94*u.\nAnswer: -3*u**3 + 7*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6243 = -25412*k + 24979*k - 17572 for k.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (3\/20)\/((-42)\/105)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6366996 a multiple of 212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uxrppppyyppyypp. What is prob of sequence yurp?\nAnswer: 4\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247*d + 59*d + 66*d + 65*d + 56*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) 3 (c) 1023\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1737270?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of h**4\/3 - h**2 - 49*h. Let y(z) = -24*z. Determine y(g(l)).\nAnswer: -192*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 1:55 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28585099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 31611100 to the nearest 10000.\nAnswer: 31610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.57 * -21\nAnswer: 11.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {n: 2, u: 6}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1 + sqrt(11) + 5 - -1*(3 + sqrt(77)\/sqrt(7)).\nAnswer: 6 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -239*f**3*r + 6*f**3 + 2*f*v**3 + 61*f*v**2 + r*v**3 + 2*r*v**2 + 2*v**2 wrt r.\nAnswer: -239*f**3 + v**3 + 2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 93, -0.1, 5, 11, -18 in ascending order.\nAnswer: -18, -0.1, 1, 3, 5, 11, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6907 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -3*l + l - 84, l + 20 = -5*h. Let t be (-2)\/(-5) - 224\/l. Suppose 24 = -2*q + t*q. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*y + 15 = 0. Is (-36)\/24*(-92)\/y a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.212127 micrometers to meters.\nAnswer: 0.000000212127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of s**5\/10 - 2*s**4\/3 + s**2 + 4*s + 2. Find the first derivative of d(t) wrt t.\nAnswer: 6*t**2 - 16*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 5:47 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*u**2 + 23406*u - 32739.\nAnswer: -3*(u - 1559)*(5*u - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 463305, 463350, 463425, 463530, 463665, 463830, 464025?\nAnswer: 464250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2)*p**(-6))\/(p**3*p**(-1\/4)*p))\/(((((p**(-7)*p)\/p)\/p)\/p**(3\/2))\/(p**(-3)*((p*p**(-3))\/p)\/p)) assuming p is positive.\nAnswer: p**(-37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 315*v + 728 - 4508 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of 12*n**5\/5 - 21*n**4\/4 + 298*n**3 - 400. What is the third derivative of b(z) wrt z?\nAnswer: 288*z - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/36)\/(2\/18). Let b be (783\/(-6))\/(2\/(-4)). Suppose -4*y + 570 + b = s, -224 = -y + d*s. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4300 + 5140?\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3 - 44558*h**2 + 356416*h - 712800.\nAnswer: (h - 44550)*(h - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -683\/9653?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 + 46 = 5*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1226, 1224, 1222, 1220?\nAnswer: 1218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 73 = -3*u, -3*l + 11*u = -0*l - 4*u + 378 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 10:09 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k + 14*k - 45 = 0. What is the tens digit of -15*4*3\/k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -13*b**3 + 257*b**2 + 3*b + 9. Let z(i) = -15*i**3 + 256*i**2 + 2*i + 6. Let s(c) = -2*g(c) + 3*z(c). Find the third derivative of s(t) wrt t.\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 0*v + 0*v)*(5 - 5 - 6*v)*(v**3 + 2*v**3 - 6*v**3) - 12*v**5 + 2*v**5 + v**5.\nAnswer: 9*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 534 and 54?\nAnswer: 4806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3*p + 31, -3*p = -p - 4*v - 24. Suppose p*i + 90 = -0*i. Let w = i - -194. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -w**6\/10 + 3*w**5\/5 - 3*w**4\/2 + 2*w**3 - 3*w**2\/2 + 8*w. Factor h(q).\nAnswer: -3*(q - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 99695493 and 27?\nAnswer: 299086479","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5 + 3. Let v(c) = -c**2 - 4*c + 3. Let x be v(w). What is the remainder when (x\/(-12) + -3)*-12 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 334743?\nAnswer: -334738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r**2 - 3*r - 5. Let x(v) = -v**2 + v + 2. Let y(n) = 2*n**3 - 2*n**2 + 2. Let i be y(1). Determine i*p(f) + 5*x(f).\nAnswer: f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000463 to five dps.\nAnswer: 0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + 1688 - 3\/1. Let g be (-4)\/10 + w\/(-15). Let i = g - -262. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -10) + 0 + -13?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4471 is divided by 1405?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58 + -58. Solve 3*m + 0*m = p for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 6, 2 in descending order.\nAnswer: 6, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/13)\/(k\/(k*(k**1*k)\/k))*(k**(-8)*k*k*k)**(-6\/19))**(2\/17) assuming k is positive.\nAnswer: k**(1198\/4199)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 1, -1973, -2, 0.2 in descending order.\nAnswer: 1, 0.2, -1, -2, -4, -1973","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-9\/8)\/t))\/t)**(-1\/4)\/(t**(-40)\/(t\/((t\/(t*t\/((t*t\/((t**39\/t)\/t))\/t))*t)\/t))) assuming t is positive.\nAnswer: t**(2479\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 97014 and 399?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -0.1, -3\/197 in ascending order.\nAnswer: -0.1, -3\/197, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 190300453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 5*t + 6. Let i be y(6). Suppose i = -0*l + 3*l - 60. Solve 0*s + 5*s = 5*x - l, -5*s - 5*x = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(136) - sqrt(136))*3 + sqrt(136))*6)\/(((sqrt(72) - sqrt(8)) + sqrt(8))*6 + sqrt(96)\/(sqrt(24)\/sqrt(2))).\nAnswer: -66*sqrt(17)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 3. Let c = 4 + r. Let p = -8 + 7. Put 2\/9, c, p in ascending order.\nAnswer: p, 2\/9, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128158.\nAnswer: 2, 139, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -875 - -4924. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -349.39 and 0.02.\nAnswer: -349.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 6*j**2 - 2*j - 2. Let g be (4\/(-5))\/(1\/10). Let n be (g\/12)\/((-3)\/(-27)). Let f be p(n). Solve 20 = 5*q - f*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 770*x - t + 239 = 774*x + 2*t, -10*x + 2*t + 550 = 0 for x.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, z: 2, c: 2, y: 3, g: 1, v: 2}. What is prob of picking 1 g and 1 y?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/(-3) + (-8)\/12. Suppose 0*x + 4 = m*x, 2*k = x + 23. Let d be (-1010)\/(-12) - 1\/6. What is the greatest common divisor of d and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r + 4. Let x(y) = -3*y - 6. Determine -7*a(v) - 5*x(v).\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2 = -0*w. Let h be (2 - -1)*(-7)\/(-84). Let g = -3.4 + 3. Which is the nearest to -2\/7? (a) g (b) h (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93635 + 1141*g + 93635 + 1490*g.\nAnswer: 2631*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.447 * 66.131\nAnswer: -29.560557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/18)\/(3\/(-18)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5.567 and -5.\nAnswer: 0.567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 445 + -423. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236*r + 8155 = -8601. Let s = -2.02 - -0.02. Are r and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and -89420.\nAnswer: -89420.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 5*m + 9 = -9, 4*h + 4*m = -8 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r - 28. Calculate u(15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - (3 + 6)) + -14.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-85)\/(-6))\/17 + 2\/12\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10790163 is divided by 661?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + 764243017099.\nAnswer: 764243017099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*-12*(45\/3)\/60.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + 10. Let p be (211 + 0)*(-13 + x). Suppose -r = -3, 5*b - 4*r = p + 87. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78\/2 + (-3)\/(-3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2803990 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 4*l + 4. Let c(z) = 2*z + 5. Let u be c(8). Let i = 35 - u. What is the lowest common multiple of o(4) and i?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*q + 434987 = 444812 for q.\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 171526590 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: In base 5, what is 12 + -24?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 421*l**2 - 63*l**2 - 28*l + 118*l + l**3.\nAnswer: l**3 + 358*l**2 + 90*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1123 + -0.0237. Let n = b - -9.136. Sort n, -1\/2, 2\/3.\nAnswer: -1\/2, 2\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -118*a**3 + 16*a**4 + 2 + 141*a**3 - a - a**2 - 20*a**4 in the form z*a + n*a**4 + x + v*a**3 + b*a**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from npkknpnknkpnkp. Give prob of picking 3 n and 1 p.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -38, -52, -66?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -30 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 12:47 AM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12494574 - 5542574. What is s rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*y + 2. Let z be 1\/1*(-1 + y). Suppose 689 = z*j - 304. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132432475?\nAnswer: 5, 7, 43, 17599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1466\/1845 + -2\/369. Let n be 1 + -2 - 10\/(-6). Let d = 0.8108 - -3.1892. Which is the closest to n? (a) t (b) d (c) 1\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-28)\/(-4)*-1*3. Let b be ((-234)\/42)\/(3\/i). What is the greatest common divisor of b and 182?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 63825, 63819, 63813, 63807, 63801, 63795?\n\"Answer: -6*f + 63831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79151?\nAnswer: 79151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-26 - -8) + (33 - 21)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 490\/(-1176)*(-1)\/5.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 i, and 1 m when three letters picked without replacement from {m: 4, x: 4, i: 1, q: 1, y: 1, z: 4}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - r**2 + r + 12. Suppose 2*z = 6*z. What is the tens digit of s(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 - -1487856?\nAnswer: 1487863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -40*x - 121. Let o(f) be the first derivative of -13*f**2\/2 - 40*f + 46. Let a(k) = -6*i(k) + 17*o(k). What is the derivative of a(q) wrt q?\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 0*a + 19. Find the second derivative of 19 - s**2 + s - a wrt s.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8*(1 + (-1)\/2). Suppose 0 = 5*s - 3*s - 12. Suppose 0 = -2*f - 2*o - 0 + s, 2*f = -o + 5. Solve -6 = f*u - v*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -4*d - 17. Let u be n(-17). Let m = u - 51. Which is the closest to 1? (a) -2\/11 (b) m (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5754.95s to nanoseconds.\nAnswer: 5754950000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47333 is divided by 385.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6327227?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 11591797?\nAnswer: -11591794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1862, -1879, -1928, -2027, -2194, -2447, -2804?\n\"Answer: -3*b**3 + 2*b**2 - 2*b - 1859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 2\/19, -1, 19, -0.3, -0.0889?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) + -1)**2 + 1.\nAnswer: -8*sqrt(11) + 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2\/9 (b) -1\/32 (c) 0.313\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 11*h = -5. Let c = h - -5. Suppose c*v + v = 0. Is v greater than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001629 rounded to four dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 25\/9 - (952\/(-72) - -13). Solve b + h = -5, -b + 6 = d*h + 21 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 185*r**2*x**2 - 21299631*r**2 - 4*r*x**2 - 161*x**4 wrt x?\nAnswer: 370*r**2*x - 8*r*x - 644*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 505357 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10943 = 208*p - 4703 for p.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1926605?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 39425 - 11117 = y, 28318 = 2*s - 4*y. Suppose -s - 430 = -t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247105?\nAnswer: 5, 73, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427971 is divided by 105?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 3*k - 2, 2*v + 2 = -5*k - 2. Let p be v\/(-5) - (-4)\/(-10). Suppose -2*q + 2*n + 30 = -p*n, 5*q - 79 = 4*n. Is 9 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 6*l**2 + 22*l - 45. Suppose 273*y - 54 = 279*y. Let g be v(y). Solve 5*b + 7 = -z, g = -4*z + b + b - 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -11\/98?\nAnswer: -11\/98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*j**4 - 39*j**4 + j**3 - 3 - j**3 + 9*j - 8*j - j**3 in the form c*j + i*j**3 + q*j**2 + x + f*j**4 and give f.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-5*(sqrt(66) - (sqrt(66)*-2 + sqrt(66))*6))\/(1*1*sqrt(864)).\nAnswer: -35*sqrt(11)\/12 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 64 - 59. Solve 10 = d*w - 0*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 112 + -5233?\nAnswer: -5121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 175 and 77?\nAnswer: 1925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v - 10*v - 75 = 0. Let o = 20 - v. Suppose 4*n - 98 + 18 = -4*q, 0 = o*q - 20. What is the remainder when 30 is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22311 divided by -67?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 127 - 127. Suppose s = -36*l + 13598 + 5014. What are the prime factors of l?\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -300 + -4?\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (22\/(-4))\/(7\/350). Let d = k + 948. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 168*a*b**3 + 434205*a - 1194*b**4 + 395*b**2 - 28*b wrt b.\nAnswer: 1008*a*b - 14328*b**2 + 790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 5 (c) -3 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/2*32\/(-12). Suppose -5*b + d = -2*d - 22, 3*d + 20 = g*b. Calculate the remainder when 17 is divided by (b - 1)\/(2\/18).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -868*g + 2027*g + 7722 = 1042*g for g.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -730.102 + 728. Let q = -1.9 - x. What is q rounded to two decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 888 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 4:36 AM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -0*s - 70. Let d be (-24)\/s + 4\/14. Let l = 1 - 2. Which is the second biggest value? (a) l (b) 5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 515194 is divided by 1111.\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7638929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -6*m + 106. Let b be u(9). Let z(w) = w**2 - 47*w - 63. Is z(b) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/35, -1\/3, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.385? (a) 0.5 (b) -2\/9 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 897 - 894. Let h(q) be the third derivative of -4*q**2 - 1\/40*q**5 + 0*q**4 - 1\/56*q**7 + 0 - 7\/160*q**6 + 0*q**c + 0*q. Solve h(d) = 0 for d.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m + 23. Let v be i(10). Does 4 divide 234\/42 - 3\/v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + 20*g - 26. Calculate m(-18).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 78*a = -83*a - 50265, -62805 = -5*h + a. List the prime factors of h.\nAnswer: 2, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1518, -1\/2, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**5 + 6*c**4 + 9*c**3 - 2*c**2 + 4. Let d(v) = 5*v**5 + 29*v**4 + 46*v**3 - 11*v**2 + 22. Let m(i) = 2*d(i) - 11*u(i). Factor m(y).\nAnswer: -y**3*(y + 1)*(y + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2797919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of a**8\/1680 - a**6\/60 - a**5\/15 - a**4\/4 - 4*a**2. Let b(c) be the second derivative of g(c). Find v, given that b(v) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0391 rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**3 - 373207*n**2 + 373207*n**2.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 11:12 PM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 6730954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 15 (b) -459\/4 (c) -0.5 (d) -0.4 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2*r = -3 - 8, -5*r - 16 = -s. What are the prime factors of (s + 0 - 2) + 77?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {s: 12, u: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 112180*f**2 + 3. Let k be d(-2). Let b = k + -169723. Round b to the nearest 10000.\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1*(sqrt(132) - 2*sqrt(132)) + sqrt(132) - sqrt(132))\/(sqrt(300)*-4).\nAnswer: -3*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3*c + 30 - 144 = 0, -3*c = -2*i + 80. Suppose -3*l = -i - 50. Suppose -30*u = -26*u - 28. Calculate the highest common divisor of u and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -g**7\/8820 - 2*g**6\/105 - 48*g**5\/35 + 15*g**4\/8 - 74*g**2. Let c(m) be the second derivative of a(m). Factor c(b).\nAnswer: -2*(b + 24)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1247950, 1247951, 1247954, 1247959, 1247966, 1247975?\nAnswer: 1247986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilometer in meters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 129*s - 121*s - 40 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/13))**5 assuming n is positive.\nAnswer: n**(10\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (27*r**3 - 86*r**3 + 123*r**3)*(-7 + 0 - 12) in the form f + p*r**3 + h*r**2 + w*r and give p.\nAnswer: -1216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.688 to 1 decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i + 4*r + 2 = -i, 5*i = 2*r + 12 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 362 - 943. Let i = a - -1141. Round i to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5303 rounded to the nearest one hundred?\nAnswer: -5300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddh when three letters picked without replacement from dddhhhdhdd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 188587599948227\/46536 - 4052509884. Let r = u + 1\/1939. Calculate the common denominator of (-30)\/(-45) - (-27)\/(-7) and r.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -62*t - 27. Calculate d(2).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -16*f**4 + 47428*f**3 - 437216*f**2 - 366460*f + 118200 = 0?\nAnswer: -1, 1\/4, 10, 2955","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.0345801 rounded to two decimal places?\nAnswer: 2.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1107961, -1107940, -1107909, -1107862, -1107793, -1107696?\n\"Answer: u**3 - u**2 + 17*u - 1107978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/((-2)\/5) + (-12712)\/(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 + -4 + 77*4. Let x = g + -173. Does 10 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 352, 706, 1050, 1378, 1684, 1962, 2206, 2410?\nAnswer: 2568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2619\/8, -1\/2, -2, 1\/8, -0.3, -0.2?\nAnswer: 2619\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*o - 28*o - 369 = 13*o + 37 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43038 and 558.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -846214 or -846212?\nAnswer: -846212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7\/188332 or -1?\nAnswer: 7\/188332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9761 and 16297?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4700? (a) -0.5 (b) -2 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41\/78 - -57\/26. Which is the biggest value? (a) y (b) 0.148 (c) 1\/3 (d) 0 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -5*p + 507, 4*p + 118 - 526 = -2*s. Find the second derivative of -i - p + 103 + 6*i**2 wrt i.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4300\/500)\/((0 + -1)\/(-5)). Let n(s) = -k*s + 19*s + 22*s. Let f(l) = 49*l + 2. Calculate f(n(g)).\nAnswer: -98*g + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -55825*u**5 + 19521*u wrt u?\nAnswer: -1116500*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 421\/900 + -7\/300. Determine a so that -2\/9*a**4 + 2\/9 - c*a**3 + 0*a**2 + 4\/9*a = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -y**4\/3 - y**2. Suppose -2*w + 400 = 410. Does 13 divide k(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 9*f**2 + 3\/4*f - 9 - 3\/4*f**3 = 0.\nAnswer: -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -485, -3653, -12297, -29153, -56957?\nAnswer: -98445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 87888.54 weeks in nanoseconds?\nAnswer: 53154988992000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -117\/8 or 5393?\nAnswer: 5393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 459*i + 96. Determine c(-2).\nAnswer: -822","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 5*q + 3*g, q + 4*g - 8 - 2 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 5*g - 0*g - 7, -2*g - 46 = 4*d. Let v = 14 + d. Suppose -m + 45 = v*s + 4*m, -5*s - 3*m + 47 = 0. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**5 - 80*a**4 - 493*a**3 + 1402*a**2 + 6488*a + 4672 = 0?\nAnswer: -73, -8, -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 578\/20 + 67184\/3040 + -21 + -1.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 3) to base 8.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/16)\/(5\/10).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 11:03 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, z: 1, i: 1}. What is prob of sequence iz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*r**2 - 4*r**2 - 115*r - 2 + 112*r + (-4*r + 4*r + 2*r)*(-3*r + 0*r + r) as k*r**2 + h + y*r and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = 2*s + 31*s. Let n = -14 + 46. Calculate the greatest common divisor of n and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86583997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 526715300?\nAnswer: 2, 5, 5267153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 11*r**2 + 9*r + 117. Determine p(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8 in -0.5, -4\/125, 0.3, -25?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 127\nAnswer: -4\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/13 in -1, -41262, -2\/11, 8, 5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 0.457, 5, -118, 5\/2?\nAnswer: -118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a\/((a**(1\/10)\/a)\/a)*a)*a)\/(a\/(a*a\/(a**(-9)*a))*a))\/((a\/(a*a*a**(-6)*a*a))\/a*a**(-3\/7)*a) assuming a is positive.\nAnswer: a**(317\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 6*a**2 - 6*a + 3. Let g = -12 - -17. Let d = g + 2. List the prime factors of y(d).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271783523.\nAnswer: 11, 53, 466181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v. Let l = 9 - 5. Let j(q) = 0*q - 2*q + l*q + 3*q. Calculate j(z(a)).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2490, 5264, 8616, 12834, 18206, 25020, 33564?\nAnswer: 44126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -162*h**4 - 7*h**3 - 138*h**2 - 4*h + 4. Let u(w) = w**4 + w**3 + w - 1. Let r(l) = -c(l) - 4*u(l). What is the third derivative of r(f) wrt f?\nAnswer: 3792*f + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -458, 90, -7 in descending order.\nAnswer: 90, -7, -458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 22*k + 137. Let z be m(5). Solve -5*p = z*i + 13, 0*p + 5*p + 21 = -4*i for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45.00000026 - -45. What is p rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 2*j + 3. Let i be 42\/105 + ((-4)\/10)\/1. Let f be p(i). Factor -r - 4\/5*r**2 - 1\/5*r**f - 2\/5.\nAnswer: -(r + 1)**2*(r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1246*z**2 - 652*z + 1.\nAnswer: -2492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oossffssoo. What is prob of picking 4 o?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 7 = 2. Let q be 2 + f\/((-8)\/(-26)). Suppose 2*h = 2*u, 5*u + 4*h + 0 = -9. Is q greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 333, 334, 335, 336?\nAnswer: 337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of 17*v**4\/12 - 20*v**3\/3 + 40*v**2. What is the first derivative of m(c) wrt c?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 15 = -4*r, 0*r - 1 = -3*h - r. Let v be -61001 - 1\/h - 0. Round v to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1281247849*f**4 - 946118571*f**2 wrt f?\nAnswer: 30749948376*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-32)\/(-12) - 2)\/((-178)\/1335). Let v = 9 + -6. Let s(y) = y + v*y - y + 7. Calculate s(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u - u + 2*u)*(-3 + 0 + 4)*((u + 3 - 3)*(-3 + 2 + 2) + 3*u - u - 34 + 39) to p + c*u**2 + i*u and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 318782 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4833*b - 14 + 9557*b - 4727*b + 14.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -50*(3 - 8 - 18).\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223231 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 + -9. Is y a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(3\/(2 - -1)). Let y be (-3)\/6 + (-14)\/z. Calculate the remainder when 26 is divided by 27\/y - (-4)\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0 = 42. Suppose -3*m - 3 = -63. Suppose z = 5*d - 54, -5*d + l = -3*z - m. Solve 0 = -0*n + 5*n - d for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45 + 49. What is the closest to -1 in 0.5, -19, -2\/15, x?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.06 + -0.36. What is the biggest value in -5, d, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i**(2\/35)*i)\/i*i)**(13\/4))**1)**44 assuming i is positive.\nAnswer: i**(10296\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**3 + 656*d**2 - 20570*d + 169932 = 0.\nAnswer: 17, 294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -21443 divided by -510?\nAnswer: 21443\/510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 3\/(-36)*3. Let q = -0.21 + 4.21. Let h = 92 - 95. What is the third biggest value in h, q, x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 119 + 2*w**3 + w**2 - 2*w**2 - 11*w + 13*w. What is the hundreds digit of z(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -o**3*u - o**2*u**2*v**2 - 2*o**2*v**3 - 2*o*u**2*v**3 + 2*o*u*v**3 - 8*o*v + 7*u**2*v**3 wrt o?\nAnswer: -6*o*u - 2*u**2*v**2 - 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 226 + -163. Suppose 2*n - 54 + 19 = -c, 0 = -2*n + 4*c + 40. Let h be (-19)\/(-7) + n\/i. Solve 4*g + h = -5 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9952.097l?\nAnswer: 9952097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 8:19 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20010081?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 40 = -4*i, -3*i + q = -3*q - 5. Suppose 2*t - i*t = -2*a - 1, 5 = 4*a - 3*t. Let j(k) = -5*k**2 + 4*k - 2. Give j(a).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 87583851 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 12 = -4*v - 4, -4*v + 3*d + 19 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 9799 and 37 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.1550268 times 0.04?\nAnswer: 1.126201072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1998 divided by -111.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 14*c - 3. Suppose -3*l - 2*l + 10 = 0. Is 18 a factor of a(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**4*y**(2\/11)*y)**(-24\/5) assuming y is positive.\nAnswer: y**(96\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4\/1064515 + 499258903\/364064130. Let o = 70\/19 + y. Find the common denominator of o and 31\/7.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5388, -5309, -5230, -5151, -5072?\nAnswer: -4993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -621*d + 1147*d - 3*d**2 - 526*d.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, e: 2}. Give prob of picking 2 e.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1231 is divided by 113?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**2 + 7189412*u + 50325786 = 0.\nAnswer: -3594699, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8331 rounded to 2 decimal places?\nAnswer: -0.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -667, -2541, -6275, -12493, -21819?\nAnswer: -34877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 6*r - 2. Let q be s(-5). Let c = -307 + 425. Suppose 4*t = q*x - c, 2*x + 4*t - 7*t - 80 = 0. Is 11 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6, 4, -1, 5, 713.\nAnswer: -6, -4, -1, 4, 5, 713","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 3:08 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.7790815 and 0.1.\nAnswer: -1.6790815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*m + 28*m = 616. Let f = m - -107. What is the highest common factor of f and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 373519 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1340 + 196*j**3 - 190*j**3 + 1340.\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-16))\/(-3 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1586 or -9\/17?\nAnswer: -9\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 78\/12 - (-1)\/(-2). Suppose -2*p = -j*p. Let r(m) = -4*m**2 + 4 + p*m**2 + 3*m**2 + 2*m**2 - 3*m. Determine r(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.82 - -4. Let r = -111 + 111.139. Let f = t - r. Round f to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5 + (sqrt(512) - sqrt(32))**2.\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 781588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 3*m**2 + 0*m**2. Let f(d) be the first derivative of d**4\/8 - d**2 - 3. Let k(s) be the second derivative of f(s). Calculate o(k(t)).\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2966*p - 556. Let o(i) = 1484*i - 278. Let a(f) = 13*o(f) - 6*v(f). What is the derivative of a(j) wrt j?\nAnswer: 1496","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 10. Suppose -2*c + 24 = -3*s + c, -28 = 3*s - 4*c. Put q, 0.5, s in increasing order.\nAnswer: s, q, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-333*z - 252*z + 57*z)*(2*z + 17 - 17) to r*z + s + g*z**2 and give g.\nAnswer: -1056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -36*d**3 - 744*d**2 + 1040*d - 352 = 0. What is d?\nAnswer: -22, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/2))**(-1\/54)\/(j\/j**(-9)*(j*j**(-2\/11)*j*j)\/j) assuming j is positive.\nAnswer: j**(-14051\/1188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 381*d - 443*d + 38874. What is the greatest common divisor of 399 and d?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1041721 to the power of 1\/2, to the nearest integer?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4510\/567 + 760\/81. Let x = 2 - 2. Factor 2\/7*b**3 + x + 8\/7*b - s*b**2.\nAnswer: 2*b*(b - 4)*(b - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l - 20366 = 4658. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-6)\/d)\/((d\/d**(7\/3))\/d))**(38\/3) assuming d is positive.\nAnswer: d**(-532\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/8 + 5\/2. Let n be (23 + 3)\/(d + 0). Let m(i) = -8*i**2 + 5*i - 7 - 3*i + 5*i. Let l(p) = -17*p**2 + 15*p - 15. Determine n*m(g) - 6*l(g).\nAnswer: -2*g**2 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5539, 11062, 16563, 22030, 27451, 32814?\nAnswer: 38107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-6))\/((-6)\/(-9))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 3*c - 6. Let y = c - 2. What are the prime factors of 0\/(-11) - (y + -17)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6152.\nAnswer: 2, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 8:29 PM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {x: 5, z: 1, c: 4, s: 2, m: 2}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 93998 and 1376.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 3*a + 2 = -z, -4*z - 10 = 3*a for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -326.813201 and 0.2.\nAnswer: -326.613201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -32 + 66 - 18 - 38 + 6*v. Let t(z) = 2*z. Determine t(u(o)).\nAnswer: 12*o - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j = 19*j - 250. Is 250 greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1)\/(g*g*g\/((g**4*g)\/g*g*g)))\/(g\/(g\/(g\/(g*g**(1\/5)*g))))**(-22) assuming g is positive.\nAnswer: g**(-122\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6486*x + 1846 - 74697 - 61273 = -4404 for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 - 32 = -12*p. Suppose -11186 + 2636 = -p*l. Is 30 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2*w = 14106, 10462 = 4*u - 3*w - 17753. Let r be u\/27*(-6)\/(-4). What is the greatest common divisor of 8 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j + 2*j + j)*(7*j**2 + 10*j**2 - 6*j**2) + (3 - 5 + 0)*(-j**2 + 3*j**3 + j**2) to the form q*j + n*j**3 + y + b*j**2 and give n.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*w = 331*w + 501*w + 247*w - 73059 for w.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 2*c**3\/5 + 15896*c**2\/5 + 31585352*c\/5 = 0.\nAnswer: -3974, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 17*k**3 + 2*k**2 + k. Give b(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4*h. Suppose -3*n = 2*n + 2*a, -10 = 2*a. What is the smallest common multiple of j(n) and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -860*n + 149 = -827*n - 214 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/12)\/(2\/(-12)). Suppose -81 = -i*f + 5*x, -5*f + 120 = -5*x - 5. Is f a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -0.507949.\nAnswer: -2.031796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b - 2. Let f be n(4). Suppose -w - 66 = -5*i - 3*w, -5*i = -f*w - 74. Let p be (-4)\/i - (-27)\/21. Put 2, p, -7 in decreasing order.\nAnswer: 2, p, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.3, 0.4, 50?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = t - 25, -5*z + 0*t = -2*t - 10. Suppose -5*o + 150 = -4*s, z*o - 2*s = 2*o + 60. Let -10*f + 5\/6*f**2 + o = 0. What is f?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/3642 and -28\/11533.\nAnswer: 69198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4301141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence spe when three letters picked without replacement from {p: 4, e: 8, s: 2}.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 4*b**2 + b + 5. Calculate r(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - -2. Suppose -q*r = -11*r - 5. What is the smallest common multiple of 6 and r - (-5)\/3 - 4\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z + 68. Let l be p(-7). Suppose 0 = l*o - 72*o. Let m be (0 + -13)*(-2)\/2. Put o, 5, m in decreasing order.\nAnswer: m, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**3 - 12*t**2 - 29*t - 134. Calculate the smallest common multiple of 510 and w(-6).\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 772 + -768. Let m(u) be the third derivative of 0 - 12*u**2 + 0*u**3 + 0*u + 1\/24*u**f. Let l(d) = 19*d**2. Calculate m(l(y)).\nAnswer: 19*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -4*n**2 + 5*n + 6. Let u(l) = 7*l**2 - 9*l - 11. Let d(o) = 3*u(o) + 5*y(o). Suppose -6 = 2*i + i. Calculate d(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*3 + (4 - 1). Let j be 2964\/27 - o\/(-27). Suppose 5*i + 5*l = 210, 2*i + 15 = -9*l + 85. Calculate the greatest common divisor of j and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/((-45)\/(-12))*-5. Suppose 3*q - 315 + 307 = -2*v, 5*q - v + 4 = 0. Put 13, g, -0.4, q in decreasing order.\nAnswer: 13, g, q, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.8 - 1.87. Let y = t - 4.03. Let z = y + 4. Which is the second biggest value? (a) z (b) -0.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 h when two letters picked without replacement from {f: 7, i: 2, h: 3}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -6*o + 257. What is a(43)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -1. Let k be (-28)\/6 + m\/(-6). Let o(x) = 2*x**2 + 4*x - 2. Is o(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (46 - 45)*1*-2. Which is bigger: f or 3\/31?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -2*g - 19, 0 = 5*g - a + 2*a + 59. Let u(c) = c**3 + 11*c**2 - 17*c - 17. Is u(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 3*m - 1. Let g(w) be the third derivative of -w**5\/60 + 7*w**4\/24 + 7*w**3\/6 + 2*w**2. Let x be g(7). Suppose -x - 1 = -2*y. Give f(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -0.2, -0.06, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 4*v + 6 = 2, n - 26 = 4*v for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8772972 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 178928, 178927, 178926, 178925?\n\"Answer: -y + 178929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 2 (b) 14\/5 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 1:42 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppppplpppppppppp. Give prob of sequence plp.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1205147922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 53944664 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2*c**3\/3 - 116*c**2\/3 + 1382*c\/3 + 1496\/3 = 0.\nAnswer: -68, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9948 is divided by 1327?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of u**4\/12 - u**3\/6 + 6*u**2 - 55*u. Determine c(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8\/25 of a meter?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b - 2*s + 6, 3*s + 7 + 0 = -b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by 327?\nAnswer: -16\/327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 6 = 2*u. Suppose 0 = l - z + 4, u = 2*z - 0. Is 1\/9 bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15361245091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -863772 by 1092.\nAnswer: -791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 184237 less than -0.11?\nAnswer: -184237.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, b: 4, a: 3, l: 2, v: 4}. Give prob of sequence abs.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*l**2 - 173*l**2 + 243*l**2 + 44*l**2 + 15*l**3.\nAnswer: 15*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (2 + -2 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 330 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2 - 1299*a**2 + 15*a + 1303*a**2 + 38. What are the prime factors of m(-12)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 8*v**2 + 21*v + 12. Let x be a(-10). Let k be (-15)\/x*(-55)\/550. Determine z, given that 0 - 1\/4*z**3 - k*z**2 + 0*z = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 9*k + 54. Let a be w(8). Suppose -26 = 5*v - a. Solve 15*t + v = 11*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38980?\nAnswer: 2, 5, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11.86 and -0.1?\nAnswer: -1.186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -36*0.29\nAnswer: -10.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1455 - -165?\nAnswer: -1270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/6? (a) 1.3 (b) -11 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3724174 divided by 2\nAnswer: 1862087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/5619195 and -17\/12940?\nAnswer: 22476780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 5, -42, -119, -232, -387?\nAnswer: -590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 887.\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 + 4784*d**2 - 133364*d + 932176.\nAnswer: -(d - 4756)*(d - 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 5*g + 5. Suppose 0 = -5*l - 1 - 4. Let t(u) = u**2 - u - 1. Let y(c) = l*z(c) - 5*t(c). Let x(n) = -17*n - 15*n + 51*n - 21*n. Give y(x(h)).\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 - 12 = -5*o. Let s be ((-24)\/o)\/((-2)\/(-3)). Let d(t) = -7*t + 9. Let a(q) = -3*q - 227 + 117 + 114. Give s*d(y) - 9*a(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*b + 1723 - 1219. Calculate the remainder when 1326 is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.139 and -5365.\nAnswer: 745.735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 18 = -4*q + 2*m, 2*m - 20 = 5*q. Let y be (908\/5)\/(q\/(-35)). Let z = 47629\/15 - y. Calculate the common denominator of 50\/3 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.32 - 0.66. Let m = b - -2.98374. What is m rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n\/n**(-26\/5)))**(5\/7) assuming n is positive.\nAnswer: n**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 4*y + 156, 1 = -3*y + 10. Let p = 68 - g. Calculate the highest common factor of p and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 9:48 AM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -2*b**3\/27 + b**2\/9 + 4*b\/9 + 1. Suppose l(h) = 0. Calculate h.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11)*-1*-1*-2.\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 202? (a) -3 (b) -5 (c) 1\/2 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 s when two letters picked without replacement from {e: 1, s: 1, p: 1, w: 1, z: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 635148 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32.8 - -30. Let k = -2.75 - s. Let u = -1769\/110 + 159\/10. Which is the second biggest value? (a) 1 (b) 0.3 (c) k (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1492678 and 1672.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0187085642 from 1.8.\nAnswer: 1.8187085642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 44 + 3 + (2 + 1 - 2)*(1 - 4 + 1))*(-6 - 68*v - 60*v + 106*v).\nAnswer: 858*v + 234","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a decade in years?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34962091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -133 - -149. Solve -i = 4*b + 13, -b - 2*b = 2*i + w for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-126)\/(-27))\/(2\/3) + -3. Solve -m + f = 2*t - 0, 0 = m + 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153 divided by -16.\nAnswer: -153\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of n**4\/4 + n**3 + 3*n**2\/2 - 7*n. Suppose u(m) = 0. What is m?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -1\/30*a**5 + 0*a**4 + 0 - a + 24*a**2 + 0*a**3. Let i(y) = -27*y. Calculate l(i(w)).\nAnswer: -1458*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -164, -3, 3, 4, 47, -1, 13 in descending order.\nAnswer: 47, 13, 4, 3, -1, -3, -164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -228, -459, -692, -927, -1164?\n\"Answer: -n**2 - 228*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4327\/9 - 487. Let g = y - -23\/3. Sort g, -0.3, 3\/7 in decreasing order.\nAnswer: g, 3\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -148*l**2 - l - 3. Let n be b(-1). Let u be (n\/(-18) - 9) + 3336\/9. Calculate the highest common divisor of 20 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b890 - -128c?\nAnswer: -a601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 705600 and 13760?\nAnswer: 30340800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 153 - 164.3. Let j = 10 + m. Which is smaller: j or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 11*h - 1. Let p(c) = -6*c + 1. Let j be 5\/((-15)\/23)*-3. Let g = j - 27. Determine g*u(l) - 7*p(l).\nAnswer: -2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 83730 and 125595.\nAnswer: 251190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2859252 is divided by 1227.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 137147236 to the nearest integer?\nAnswer: 11711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/3))**49 assuming a is positive.\nAnswer: a**(-98\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1012?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/80*4*(-2256)\/(-49914)?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 20, -7 = 3*y - 5*a + 3*a. Sort 5, 10, -10, y, -1.\nAnswer: -10, y, -1, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 13*z = 495. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in 0.03, 2, -179\/3, 5?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**2 - 23*a + 25. Let l be c(1). Suppose 0 = 4*g - 5*b, g + 3*b - 27 = -2*g. Find the second derivative of 7*u**g - u + u**l - 10*u wrt u.\nAnswer: 160*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of 1\/12*q**4 + 0*q**3 + q + 1\/2*q**2 + 0. Is d(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooootoooooooooo. Give prob of sequence oo.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 673580 and 808296?\nAnswer: 4041480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -100, -410, -928, -1654, -2588, -3730, -5080?\n\"Answer: -104*l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 304 divided by 16499\nAnswer: 304\/16499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 17*t**2 + t + 1. Let j be g(17). Suppose -4*d + 138 = j. Calculate the lowest common multiple of 24 and d.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h - 2171. Let u be a(0). Let j = -17315\/8 - u. Find the common denominator of j and 91\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and 10297.\nAnswer: 10295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 283 = 4*o - 17. Calculate the remainder when o is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -481 - -481.00257. What is g rounded to 4 dps?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 - -76)*19\/(-3). Let g = -267 - i. What is the smallest common multiple of g and ((-143)\/26)\/((-1)\/4)?\nAnswer: 2706","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67 + 41*k + 67)*((2 + 1 + 1)*(3*k - k - 4*k) - k + 2*k + 0*k).\nAnswer: -287*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + g**2 + 1. Let x be l(0). Let c be 7\/x + 2 + -1. Let t be 221\/4 - 3\/(-4). Calculate the highest common factor of c and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/20? (a) -3 (b) -2\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 + 11)*6\/12. What is the closest to 0.44 in 2, -2, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -804*v + 805*v - 246 = 0. Which is smaller: v or 1224\/5?\nAnswer: 1224\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-725600)\/130)\/(-10) + 0\/1. Let n = o + -558. Which is the second biggest value? (a) n (b) 0.4 (c) -6 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(96) - sqrt(96))*-6*2)\/(sqrt(33)\/sqrt(396) + (sqrt(3) - -3*sqrt(3))*-1).\nAnswer: 576*sqrt(2)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 3:47 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -10210122?\nAnswer: 10210112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2816861117.\nAnswer: 7, 839, 479629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 912*j**3 + 910*j**3 - 2733*j**3 + 9 + 915*j**3 - 9.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1810479*u - 1810468*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 132956 - -3.\nAnswer: 132959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -10, 24 in ascending order.\nAnswer: -10, 20, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -385063.879 - -385244. Round w to the nearest ten.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/17 (b) -6 (c) 0.5 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -302*2\/4*-1. Let i = b + -64. Suppose -2*z - z + i = 0. Solve 3*r + 4*h + z = 0, -4*r + h = -3*h - 8 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q**4 + 190*q**3 + 195*q**2 = 0 for q.\nAnswer: -1, 0, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4\/7, 1, 2\/3, -0.04, 3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -2 + sqrt(153) + sqrt(153))**2 - (-1*3*sqrt(153))**2) + 0.\nAnswer: -765","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**2. Suppose 0 = -3*j + 6*j - 15. Let y(t) = 16 - 16 - 7*t - j*t. What is y(k(x))?\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 719319 and 33833.\nAnswer: 1471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*x - 60 + 484 - 244 = 0 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21786296 to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 q, and 2 i when four letters picked without replacement from ciaqiciiciifc?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1387d (base 15) in base 6?\nAnswer: 1202044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -42641787 and -85356.\nAnswer: -42727143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 0. Let v = p - 4. Let g be v - (3*2)\/(-3). Solve h + 0 = g for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 337521*y. Let n(f) = 3*f. Calculate b(n(x)).\nAnswer: 1012563*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -g**2 + 84986*g - 1805655049 = 0.\nAnswer: 42493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -512*q**3 - 3*q**2 - 3*q - 2. Let s(v) = 3*v**2 + 22*v - 17. Let g be s(-8). What is the hundreds digit of f(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37516*h + 18697*h + 18633*h.\nAnswer: -186*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, u: 4, n: 3, k: 11}. What is prob of sequence nun?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**2 - 7*d + 19. Let w = -22424 - -22426. Calculate i(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 162879*w**4 - 21*w**2 - 25*w - 6.\nAnswer: 3909096*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4594\/(-20673)*-10*(-27)\/(-66)?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1047 - -1072.46. Round x to the nearest integer.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 335e + -357?\nAnswer: 3007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t**2 + 230*t + 135. Give k(11).\nAnswer: 2302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-2\/13)*m*m**(1\/9)\/m)**21\/((m\/(m\/m**(1\/4)))\/m**(-5)*m\/m**(-1\/7)*m*m**4) assuming m is positive.\nAnswer: m**(16567\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 1125001*f**2 + 3*f - 4. Let z be h(-4). What is z rounded to the nearest 1000000?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10\/9? (a) -2 (b) -68.492 (c) 1\/6 (d) 4 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**3 - 2*q**2 + 0*q**3 - 2*q**3)*(-35 + 163476*q - 12 - 163472*q).\nAnswer: -12*q**4 + 133*q**3 + 94*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 24030\/(-450)*(-245)\/147\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 77, 88.8, -67 in descending order.\nAnswer: 88.8, 77, 5, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 5\/4 of a millisecond?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 246 and 939078.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-6)*g**(3\/2)*(g\/(g*g**0\/g))**17 assuming g is positive.\nAnswer: g**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 20 = -4*y, y + 203*b + 59 = 198*b for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23282597?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1052831 is divided by 6590?\nAnswer: 5021","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 80931.56 rounded to the nearest 100?\nAnswer: 80900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.2 - -0.2. Let o = -3.1 - y. Let s = -1.4 - o. What is the closest to 1\/2 in 4, s, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 28147 - 27053 = 0. What is t rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 9 + 11. Suppose -2*k - 2*v = -6*v - f, 0 = -4*k - 3*v + 30. What is the highest common divisor of k and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 208357566?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48762882 is divided by 4261?\nAnswer: 4259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 43\/4 of a gram?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**2 - 29 + 95*c - 251*c - 104*c - 93.\nAnswer: 4*c**2 - 260*c - 122","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(833) - (-4*sqrt(833)*-1 - sqrt(833)) - 6*(sqrt(833) + -1)))**2 + (3*(0 + sqrt(833) + 1))**2*-3.\nAnswer: -826*sqrt(17) + 30810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 627341 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*o = 3*q - 405, 0 = -4*o + 2*q + 410. What is the units digit of 4 + -1 - o\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 5*s**4 + s**3 - 4*s**2. Let l(r) = 6*r**4 + r**3 - 5*r**2. Let h = -15 + 11. Let b be 5 + 1*(-2 + 0). Let d(p) = b*l(p) + h*q(p). Factor d(u).\nAnswer: -u**2*(u + 1)*(2*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 888389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -0.4, -0.39, -10, 23, 1 in increasing order.\nAnswer: -10, -8, -0.4, -0.39, 1, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one sixteenth of a tonne?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 86209.6 days?\nAnswer: 7448509440000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide (-7 + 5)\/(-1 + (-107)\/(-108))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/17)\/(h\/(h*h*h*h**(-3\/8)*h))*(h**(-5\/3))**(-35) assuming h is positive.\nAnswer: h**(24823\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**3 - 48*l**2 + 2553*l + 47610 = 0. Calculate l.\nAnswer: -23, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -5. Let i be (3\/1)\/z*-4. Let x be (i\/(-4))\/((-1)\/10). Solve 0 = -3*t + 10 + x for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -276, 0.2, 5, -0.03 in decreasing order.\nAnswer: 5, 0.2, -0.03, -2\/3, -276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(1*sqrt(99)).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -u**3\/6 + u**2\/2 + u. List the prime factors of g(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qhhy when four letters picked without replacement from ybhllqbyyqlqhhhl?\nAnswer: 9\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -41, -43, -47?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*n + 3*j, 0*j - 3*j = -3*n + 9. Let w be -16 + (1 - n) - 3. Let y be (-12)\/w + 24\/10. Solve 8 = y*l - 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence loh when three letters picked without replacement from ohol.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8775566 is divided by 243765?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -12222, -49022, -110356, -196224, -306626, -441562, -601032?\n\"Answer: -12267*g**2 + g + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -8*p. Let c(t) = t**2 - 72*t + 8. Calculate g(c(d)).\nAnswer: -8*d**2 + 576*d - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 1, 4, 9 in descending order.\nAnswer: 9, 4, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xrorrorrrrrrrrrrr. What is prob of picking 4 r?\nAnswer: 143\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 147 in -5, -3.19, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 9:31 AM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 3, 4, 412, -56 in decreasing order.\nAnswer: 412, 19, 4, 3, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 62413818?\nAnswer: -62413815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-274)\/(-2))\/(2\/4). Let p = 435 - f. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2 - 16*o - 66. Suppose 44 = 5*q - 31. Let c be w(q). What is the greatest common divisor of c and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 6, o: 13}. What is prob of picking 3 o and 1 f?\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of i**7\/90 + 107*i**6\/360 + 23*i**5\/180 - 107*i**4\/72 - 5*i**3\/3 - i**2 + 2*i - 3225. Solve r(v) = 0 for v.\nAnswer: -15, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 5 - 2 = 0. Suppose -100*j - 24 = 3*x - 98*j, x = 3*j + 3. Sort 9, q, x.\nAnswer: x, q, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 24 = -6. Suppose -9*i = -5*i - 48. Let t(w) = -6*w + 2 - 5*w + i*w. Let p(d) = -d - 2. What is x*p(o) - 5*t(o)?\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = 2*w - 0*w. What is the units digit of (w\/7)\/(4\/(-14))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107196 is divided by 800?\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 90, -4, -162, -384, -670, -1020, -1434?\n\"Answer: -32*u**2 + 2*u + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k + 8*k - 19*k**2.\nAnswer: -19*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4592681 divided by -148151?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4*d = -21, 2*b + 2 = 4*b + 2*d. Suppose -u = -3*y - 147, -687 = -b*u + 5*y - 2*y. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-58)\/145 + ((-3428)\/5 - 0). Let l = o - -1026. List the prime factors of l.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/2, 0.1, -0.08?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 4*l - 1. Let g be x(5). Is g\/(-30) + 8027\/15 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 314659974 to the nearest integer?\nAnswer: 680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000342966616 to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19183935*d**4 - 18188255*d**2 - 2*d wrt d.\nAnswer: -460414440*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3760489?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6073017 (base 10) to base 3\nAnswer: 102102112121120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-7))**(2\/61))**(-18) assuming t is positive.\nAnswer: t**(252\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3121242m in millimeters?\nAnswer: 312.1242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (7 - 11)*-1202*(-82)\/(-8)?\nAnswer: 2, 41, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y**3 + 28*y**2 - y + 15. Calculate z(-7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -79 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3*y**2 - y**2 + 6*y**2 - 1 to the form f*y + l*y**2 + h and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 0.1 (c) 0.003 (d) -5085 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36012 by -18006.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 4093, -38, -4 in decreasing order.\nAnswer: 4093, 2, -4, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/((((b*(b**(-2\/5)\/b*b)\/b)\/b)\/b)\/b))**(3\/13)\/(b\/(b**3*b))**(21\/5))**(9\/2) assuming b is positive.\nAnswer: b**(810\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48\/5 - 538\/55. Let n(u) = u**2 + 10*u - 11. Let i be n(-15). Let h be i\/(-126) + (-18)\/(-63). Which is the biggest value? (a) z (b) -5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (5 + -3 - 1) - -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3*t**3 - 5*t**2 - 6*t. Suppose -6*o + 32*o = 26. Let u(j) = -j**2 - j. What is o*m(g) - 6*u(g)?\nAnswer: 3*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-10))\/(u*(u\/(u*u**(-5)*u))\/u))\/(u**(-1\/5)\/((u*u\/(u\/u**4)*u)\/u)) assuming u is positive.\nAnswer: u**(-39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -56 + 128. Suppose -2*m + 128 = 2*t, -3*m - 375 = -8*m + 6*t. Let a = j - m. Solve -h - a = 2 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -199868.6 * 4\nAnswer: -799474.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 1\/5 (c) 0.02 (d) 0.06 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2150 in 11, -3, 0.5, 140?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**2 + 114*v + v**2 - 110*v - 4*v.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1112 + 1130. Calculate the highest common divisor of b and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006372510887 to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -1 - (9 + -7)\/((-13899)\/(-1271) - 11).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, d: 5}. What is prob of sequence oood?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2375 or -80?\nAnswer: -2375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128994?\nAnswer: 2, 3, 21499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 n when three letters picked without replacement from qnnqeqqqnnenqnqeqn?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 5)*(3 + 2*i - 3) + i + 13*i - 5*i.\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6298492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 152*o - 153*o + 3. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 108 = -7*w. Suppose w*m = -7*m + 48. Solve 3*q - 4*q - p = 3, -4*p + m = -q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 12:19 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 1 = b - t, -4*b = -2*t - 20. Suppose -b*r = r + 15. What are the prime factors of (-44)\/(-24) - r\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 81830280 by -120.\nAnswer: -681919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 285 + -170. Is 115 at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (510\/4)\/(23\/1012). Let x = u + -3763. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 - 51 = 6*v. What is the remainder when 206 is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 41 = z, -65*z + h - 79 = -67*z for z.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1709*p**4*z + 2*p**2*z - 24*p*z + 3*z - 14 wrt p?\nAnswer: 41016*p*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5606895*i**3*n + 72*i**3 - 346*i**2 + 2*i*n**4 - 5*i - 4 with respect to n.\nAnswer: 5606895*i**3 + 8*i*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 10*y**2 - 6. Let n be r(-10). Let h be (n\/(-36))\/(1\/4). Solve 0*j**2 + 2\/3*j + 0 - h*j**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -k**3\/3 + k**2\/2 + 15*k - 514. Give g(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 9:07 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5346 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 4*o - 1. Let k be r(2). Suppose -2*v - 370 = -k*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*r + 105 = 85*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 + 3 + 2*a)*(-28*a**2 + 0*a**2 + 0*a**2 + (a - 2*a + 7 + 3*a)*(-2 - a + 2)) as w*a + m*a**2 + x + c*a**3 and give w.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence veve when four letters picked without replacement from {v: 2, e: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 8. Which is the biggest value? (a) 3\/2 (b) 0.5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0 (b) -12.5 (c) 545 (d) 2 (e) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33077244?\nAnswer: 2, 3, 2756437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -2 + -2 + -2 + (-7 - 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -28. Solve l + 0*a - 19 = -4*a, -4*l - u = -4*a for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**3 + 45*k**2 + 74*k - 26. Let j be l(22). Calculate the greatest common factor of 42 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1596 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 505820 = -25*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 9*j**2 + 24*j - 13. What is u(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 665 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 185655646.9999993 + -185655726. Let y = i + 79. Round y to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*h + 2*h**3 - 3*h)*(-3*h - 2 + 2) + 3*h**2 - 3*h**2 + 3*h**4)*(1 + 1 - 3).\nAnswer: 3*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11\/(-3) - (-4)\/6. Let q(p) be the second derivative of p**3\/6 - p**2\/2 - 9558*p. Calculate q(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 7 = 3*z - 3*s, -2*z + 12 = -4*s. Let v(h) = h**2 + 10*h + 2. Let q be v(-4). Let a be (-265)\/(-55) + z\/q. Is 5 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (6 + (1 - 7))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 g when three letters picked without replacement from gwgggggwgggggggwgg?\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from miiiiixbiixx. What is prob of sequence iim?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-22)\/(-264))\/(28\/(-16) + 2). Let w = -4 - -3.6. Suppose 0*y - 3 = 2*v - 5*y, 0 = 3*v + 3*y - 6. Which is the closest to v? (a) 0.4 (b) o (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6341 + 7945. Is 7 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 233 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 10:41 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 v when two letters picked without replacement from {u: 3, t: 5, v: 5}?\nAnswer: 25\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 120762 or 120156?\nAnswer: 120762","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388 is divided by 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 9*p - 36. Determine f(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + 3*(-5)\/15. Which is smaller: g or 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.99039 to three dps.\nAnswer: 0.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**3 + 5*q + 5. Let v(h) = h**3 - 4*h - 4. Calculate -3*i(o) - 4*v(o).\nAnswer: 2*o**3 + o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17476 + -356?\nAnswer: 17120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3887 is divided by 1238?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9234 and 657474651?\nAnswer: 4617","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 21*j + 12. Let h(v) = 43*v + 18. Determine 4*h(a) - 7*k(a).\nAnswer: 25*a - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1680 a factor of 12722790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 4*z**2 - 3*z - 2. Let a be i(3). Suppose 40875 = a*n - 87800. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3 = a - 28, -5*d + 2*a = -97. Let j be 14\/d - (-2)\/6. Solve -i = j + 4 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (20\/15 + 0)\/((-2)\/36). What are the prime factors of y\/8*3\/((-18)\/170)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3405 minus 0.07952?\nAnswer: 0.26098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 563887 to the power of 1\/2, to the nearest integer?\nAnswer: 751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(75) + (sqrt(75)*1)**2 + sqrt(75).\nAnswer: 10*sqrt(3) + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5059, 4602, 3833, 2752?\nAnswer: 1359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 1 = -k. Let q = k - -7. What is the units digit of 2\/q - 312\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 12 = 3*k + k, -4*k - 4*p + 12 = 0. Let x(a) = 2*a + 0*a + k*a - 2*a. Let f(r) = 2*r. Give f(x(o)).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -20*l + 2. Let b be f(-1). Suppose -4*q + 4*c - 4 = 0, -3*q - 3*c = -b + 1. Solve 0 = -t + q - 7 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 358367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 453.1 - 49.8. Let j = 403 - f. What is the second biggest value in j, 6, 2\/13, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -0.3, -1.4, 23?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 - -26. Suppose 3*n = -j*n - 84. Let u = n - -31. Solve 2*h = -h - u for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 3*y - c, -112*y = -239*y + 122*y - 5*c - 25 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1703 take away -417?\nAnswer: -1286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5\/419 + 7976\/1257. Let a = -10 - -16. Which is smaller: a or t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 656240551?\nAnswer: 149, 4404299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2009567 and 8239.\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1479351235?\nAnswer: 5, 79, 3745193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h**2 - 61*h + 22. Let a be m(20). Let 3\/5*b**a - 6\/5*b + 0 = 0. What is b?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v**3 - 2*v**2 + 15 - 15 - 3*v)*(4 - 4 + 3)*(76 + 8 + 49) as z*v + s*v**2 + r*v**3 + w and give r.\nAnswer: -798","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*n + 379 + 7*n**2 - 9*n - 13*n + 33*n.\nAnswer: 7*n**2 - n + 379","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - 46. Let m = z - -45. Let t be 0\/2*(-1)\/(-2). Which is smaller: m or t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k**4 + 1301*k**3 - 2*k**2 - 6*k + 3?\nAnswer: -24*k**2 + 7806*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.3, -5, -0.3 in decreasing order.\nAnswer: 0.3, -0.3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 93404059 to the power of 1\/3, to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-37048332.\nAnswer: -74096664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -191*b**3 + 2*b**2 - 19*b wrt b.\nAnswer: -1146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 12, -1056, 0.06, -6\/13?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l**3 - 5*l**3 - 8*l - 8*l**2 + 60 - 50. Determine q(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((3*sqrt(1694) - sqrt(1694) - sqrt(1694))\/(4*sqrt(7)*5))**2.\nAnswer: 321\/200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b + 6. Let p(t) = 0 + 3 - 2. Calculate 6*p(r) - q(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 21*c**2 - 65*c + 242. Let t be v(7). Calculate the highest common factor of t and 782.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 78 + -311\/4. What is the closest to b in 3\/7, -0.5, 3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 117 + -83. Suppose -j = 0, -2*j + 104 - c = 2*i. Let u(a) = -8 - 1 - i*a + 34*a. What is u(0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*f + 7*f - 7*f)*(-2 + 1 + 0)*(-2*f**2 + 2*f**2 + 2*f**3).\nAnswer: -26*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -5.9 (c) 0 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1197202 divided by -16862?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4*u + 2*j = 222, j = u - 79. Suppose u + 12 = 2*o. What is the remainder when o is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 25 = 3*q, -5*q + 5*d + 33 = -17. Solve q*o + 243 = 228 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 3:44 PM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 174, 211, 268, 357, 490, 679?\n\"Answer: 2*h**3 - 2*h**2 + 29*h + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -17*b - 40. Let u be g(-4). Factor u*r**3 + 41*r**4 + 264*r + 518*r**3 + 32 + 203*r**2 + 477*r**2 + 57*r**4.\nAnswer: 2*(r + 1)*(r + 4)*(7*r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5356.491 milligrams?\nAnswer: 5356491000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 3*o**2 + o + 3. Let k be a(-3). Suppose -7*u + 5*u = -4. Let s be (6\/2*(-1 + u))\/8. Is s at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + 5. Solve -r = -4 + f for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 4:05 AM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + -3 - sqrt(112) - (sqrt(63) + 3))**2.\nAnswer: 36*sqrt(7) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2 - j - 2*j + j + j. What is the units digit of u(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32668 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g**5 - 780*g**4 + 1260872*g**3 + 375111768*g**2 + 746437820*g + 372587700 = 0. Calculate g.\nAnswer: -395, -1, 597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 343.\nAnswer: 2\/343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 262\/55 - 48\/11. Let h = -1.12 - -0.12. Let g = 167 + -171. Which is the third smallest value? (a) o (b) h (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 697 a factor of 4103508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1055, 2111, 3167, 4223?\n\"Answer: 1056*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.01, 728, 0.4, -4\/785, 2\/7?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - x + 2*x)*(x**2 - 2*x**4 - x**2) - 5*x**3 + 5*x**3 - x**5 - 7*x**5 + 2*x**5 + 10*x**5 - 3*x + 5*x + x**5 + 0*x**5.\nAnswer: 3*x**5 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 7:11 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156008351.\nAnswer: 4133, 37747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-1080)\/(-162))\/((-4)\/3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1173)\/(-46))\/(45\/(-12) + 3). Is -40 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - (0 + 20634\/(-3220)). Let u = t + 47\/161. Let x = -3457\/16 + 1751\/8. What is the common denominator of x and u?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2687059?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2658297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-122 + 815 + 3877)*(-2*d**2 + 2*d**2 - d**2).\nAnswer: -4570*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 5751 - 5745 = 3*v, 0 = -2*t + 3*v - 1 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15869420 and 3156.\nAnswer: 1052","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 78*k + 1 - 31*k + 3 + 12*k**2 - 38*k. Let f(o) = -6*o**2 - 4*o - 2. Determine 7*f(u) + 3*t(u).\nAnswer: -6*u**2 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 19*s**2 + 95*s + 73. Calculate i(-8).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4796*j**2. Let r(l) = -15967*l. Give f(r(t)).\nAnswer: -1222716646844*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -2, 412 in increasing order.\nAnswer: -2, 19, 412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159*p - 1447091 = -169685. List the prime factors of p.\nAnswer: 2, 3, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 12 = -11. Let z = 118\/5 - g. Solve -3\/5*t**3 + 0 + 3\/5*t**4 - 3\/5*t**2 + z*t**5 + 0*t = 0 for t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 224 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5165098 times 34?\nAnswer: 175613332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -49*k. Let g(y) = -62*y - 21*y**2 + 27*y**2 + 132*y - 68*y. Calculate g(s(t)).\nAnswer: 14406*t**2 - 98*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 3*q**2 + 4*q - 7. Let z be x(-5). Let n = z - 22. What is the smallest value in n, 0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -300.033 + 0.033. Let q = d + 299. What is the nearest to 2\/5 in -7, 5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 105284, 210561, 315836, 421109, 526380?\nAnswer: 631649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/(-36)*8\/(-10)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**1*o*o*o**(3\/5)*(o*o**2)\/(o*o\/(o\/(o*o\/(o\/o**(2\/5)))*o*o)) assuming o is positive.\nAnswer: o**(36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/sqrt(6)*6 + sqrt(325) + 5 + 3.\nAnswer: 8 + 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/13)*a*a**6*a**7\/a*a**(-1))\/((a**(1\/2))**(6\/7)*a\/((a*a*a\/(a**(1\/5)\/a))\/a)*a\/a**(-7)) assuming a is positive.\nAnswer: a**(2514\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*h**3 + 427*h**2\/3 + 49*h\/3.\nAnswer: h*(h + 7)*(60*h + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-90)\/1725*(-55)\/(-33) - (-2434)\/(-46).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/93)\/d)\/d*d**(1\/13)*d assuming d is positive.\nAnswer: d**(-1142\/1209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1808650387?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**3 + r**4 - 1 - 6*r + 2*r**3 as l*r**2 + h*r**3 + d*r**4 + v*r + x and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 31 - 10. Let s(k) = k**3 - 7*k**2 + 7*k + 6. Calculate the remainder when s(z) is divided by ((-2)\/3)\/(2\/(-57)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 587 - 577. What is the smallest common multiple of 125 and n?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, r: 2, t: 2}. What is prob of sequence ttg?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -111*f. Let q(b) = -b**2. Calculate q(r(a)).\nAnswer: -12321*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6, j: 3, m: 2, w: 4}. What is prob of picking 4 w?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43 - -58. Suppose 4*k + 0*k + 5*c = 9, -3*k + n = c. Is 3 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 119 + m**3 + 104 - 166 as y*m**2 + h*m**3 + v + w*m and give v.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10.292 and 5.\nAnswer: -51.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 20.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**3 + 16187*b**2 - 65480455*b - 196587075 = 0. Calculate b.\nAnswer: -3, 8095","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (39*(-12)\/90)\/((-2)\/5). Suppose -2*l - 24 = -5*q + r, -29 = -q - 5*l. Suppose 3*o - 4*g - 9 = -7*g, -2*o - q = -3*g. Solve o = n + 1 - 6 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 3380 - 3344 = -5*v, -v + 132 = 34*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 232faa?\nAnswer: 232fa5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -48, -38, -28, -18?\n\"Answer: 10*f - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 322*v**3 + 0*v**2 - 349*v**3 + 7*v + 10 - 11 - 2*v**2 to g*v**2 + j*v**3 + x + t*v and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/9)\/(1\/(-3)). Let q(v) = v + 2. Let w be q(4). Let k be (-4)\/w*(-9)\/39. Which is smaller: k or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3347.1401 - 3347. Let s = f + -0.127. Round s to three dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 994*y + 291240. Calculate g(-293).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000006112 rounded to seven decimal places?\nAnswer: -0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8000720 = 6*y - 320*y. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.02579 years in months?\nAnswer: 300.30948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j - 661 = 1187. What are the prime factors of j?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 6*l + 8. Let t be o(2). Suppose 3*f - 33 = -f - 5*u, -3*f + u + t = 0. What is the remainder when 16 is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-408)\/3740)\/(39\/(-165)).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5596 times -0.085\nAnswer: 475.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d - 1. Let i(g) = g + 1. Let z(q) = -2*i(q) - 2*n(q). Let b(k) = -2*k. Let p(y) = 2*y. Let l(t) = 2*b(t) + 3*p(t). Calculate z(l(j)).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -11 + (6 - 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 573.\nAnswer: 1\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5411, -5442, -5513, -5636, -5823, -6086, -6437, -6888?\n\"Answer: -2*c**3 - 8*c**2 + 7*c - 5408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -662 + 223 + 2*b + 216 + 223.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/4)\/s**(-2\/21)*s*s\/s**(2\/5)*s*s*s**(1\/5)*((((s*s**(2\/11))\/s)\/s)\/(s*s**(-1)))\/(s**(-1))**(3\/2) assuming s is positive.\nAnswer: s**(22301\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**5 - 2*i**4 + i**3 + 2*i**2 + 2*i - 2. Let a(j) = -5*j**5 - 11*j**4 + 5*j**3 + 11*j**2 + 11*j - 11. Let v(w) = 2*a(w) - 11*l(w). Factor v(h).\nAnswer: h**3*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.3593 and -0.0559.\nAnswer: -0.13188487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -131*j + 2096. Let l be r(16). Which is bigger: l or -21\/772?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/162 and -49\/144.\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211122 + 110021101012?\nAnswer: 110020112120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -19, -186, -361, -556, -783?\n\"Answer: -2*m**3 + 8*m**2 - 177*m + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -383, -760, -1137, -1514, -1891, -2268?\nAnswer: -2645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303 is divided by 166.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/1276938 and 181\/72930.\nAnswer: 70231590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 395 + -403. Suppose -3*g + 10 = 4. Let o be (-21)\/6 - (-1)\/g. Which is bigger: r or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y**2 + y - 12. Let r be m(5). Let i = 118 - r. Solve i*v - 3*v + 12 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -66 - -128. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -95303 divided by -53\nAnswer: 95303\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1080, 1081, 1082, 1083, 1084, 1085?\nAnswer: 1086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (30\/14)\/((-218)\/(-763)) - 6\/1. Let x = -44996 + 403670\/9. Let m = x - -144. What is the nearest to m in 1, q, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 - -50. Suppose -w = -j - 0*j. Let o(b) = 3*b - 5. Let h be o(j). Calculate the highest common factor of h and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -284 - -284. Suppose -51*x + 69*x - 23886 = i. What are the prime factors of x?\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1199*t**2 + 1121*t**2 + 8*t - t.\nAnswer: -78*t**2 + 7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.02 from -8.855.\nAnswer: -8.835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 680 and 3184950.\nAnswer: 12739800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 99*b**2 - 196*b - 189. Calculate i(-97).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 396018998.\nAnswer: 2, 157, 479, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(9)\/sqrt(3) + -4.\nAnswer: -4 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 3 - 6 = 3*w, 5*w + 7 = -3*k. Let d = 296.7 - 293. What is the closest to 1\/4 in d, 0.2, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -569 + 988. Let s = 19 + k. What are the prime factors of s?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -135.\nAnswer: 40.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4*d**2. Let g(z) = 18 - 36 + 18 - 6*z. Give w(g(s)).\nAnswer: -144*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 13004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*z**3 - 490*z**2 + 180*z**2 - 380*z**2 - 188*z**2.\nAnswer: -11*z**3 - 878*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 8*k - 5. Let j be i(-6). Let v = j - 5. Calculate the lowest common multiple of v and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -55214*l**3 - 2*l - 486.\nAnswer: -331284*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50 - 32. Let k = z + -15. Suppose -4*u - l = 3*l - 32, 24 = k*u + 5*l. What is the greatest common factor of 72 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-6\/13)*x**(-1\/5))**(-1\/10))**0 assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3767 - -3766.93362. What is g rounded to three dps?\nAnswer: -0.066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*u + 14, -4*p - 4*u + 34 = -2*u. What is the lowest common multiple of 10 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - 2 + 3 + 0*b**2. Let f(n) = 4*n**2 + 18*n - 86. Let l(o) = 2*f(o) + 10*y(o). Factor l(u).\nAnswer: -2*(u - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + 1 - 2 - -3. Solve y = -y + o for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(6\/17)*d*d*d)\/d**(9\/8) assuming d is positive.\nAnswer: d**(303\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 - 2) + 25\/(-15). Sort d, 2\/11, 4\/5.\nAnswer: 2\/11, 4\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -2 - -1 - 10) + (13 - 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -25\/6 (b) -1\/10 (c) 8\/7 (d) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1187, 4431, 9791, 17267, 26859, 38567?\nAnswer: 52391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.4 - 5.6. Let f = -0.2388 - 0.1612. Let d = 3\/10 + 1\/30. Which is the closest to d? (a) f (b) -34 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26356621 (base 7) to base 13\nAnswer: -668647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + 22. Let n(m) = 2*m**2 - 8*m + 5. Let q be n(4). Let z be q\/20 + 345\/12. What is the highest common divisor of i and z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1795?\nAnswer: 5, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -616398 by -33.\nAnswer: 205466\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u**2 + 52*u - 39. What is g(8)?\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (60\/90)\/(4\/414). Find the second derivative of -7 + v*n**3 - 32*n + 52*n + 7 wrt n.\nAnswer: 414*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 4 - (5 - (5 + 4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29332 is divided by 14660?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 247*h**2 + 356*h - 26864. Determine d(248).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 4*u = 2*b - 17, -5*b = u - 23. Let n be (-6 + b - -3) + 0. Sort n, -1, 5.\nAnswer: -1, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 766*b**2 + 10*b - 10. What is the units digit of o(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2253*s**3 + 3*s**2 - 3*s - 1. Is h(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 434132322 (base 5) to base 11\nAnswer: 1063a93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 204, 414, 624, 834, 1044?\nAnswer: 1254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -71*q**6\/10 + 793*q**4\/24 + 1371*q**2. Find the second derivative of x(m) wrt m.\nAnswer: -5112*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 1221?\nAnswer: 2010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kqxq when four letters picked without replacement from kkkkkqqkxkkkkxkkxk.\nAnswer: 13\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -5 (b) 11 (c) -4 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -1362?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 1491 = -2649. Is 14\/(-3)*n\/30 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/20)\/((-391)\/(-1020) + (2 - (-9)\/(-4)))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4480019*c**5 - 338*c**2 + 28*c + 6 wrt c?\nAnswer: -268801140*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*g**3 + 61*g + 1 - 34*g**3 - 2*g**2 + 0 - g**2 in the form q + o*g**2 + j*g**3 + n*g and give n.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 410573548 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -11887*k - 17. Let j be m(9). What is j rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 314418602 divided by -23\nAnswer: -13670374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -92080000 to the nearest 1000000.\nAnswer: -92000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -4*g, 0 = 95*y - 98*y - 4*g + 21. Suppose 25 + 2 = 3*s. Suppose -4*k = -s - y. Solve -n = k*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-10)*35\/42 + (-469)\/201. Put x, -3, -0.3, 1, 3\/7 in increasing order.\nAnswer: -3, x, -0.3, 3\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1301 + -27?\nAnswer: 1252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 196?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 - -33. Suppose 20 = -4*d, -a + c*d + 29 - 1 = 0. Calculate the smallest common multiple of 20 and a.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 * -5\nAnswer: 0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*(-2 - (-152)\/78)?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of m**4\/3 - 2*m**2. Calculate the lowest common multiple of t(1) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cggwwcwwgwwwcwgwww. Give prob of sequence gwgc.\nAnswer: 11\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -15*m**4\/2 + 4*m**3 - 14. What is the third derivative of z(x) wrt x?\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1160 and (-3)\/8 - ((-78013)\/56 + 175\/245).\nAnswer: 6960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 10 + 1 + 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2315692.\nAnswer: 2, 578923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnmmn. What is prob of picking 4 n?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of v**4\/6 + v**3\/2 + 3*v**2\/2 + 3*v. Is f(3) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -u + 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -846, 19 in ascending order.\nAnswer: -846, -5, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + m + 30. Let r be o(6). Solve 4*h - 1 = -f, 2*f + r*f = h - 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101913830?\nAnswer: 2, 5, 29, 351427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2 - 3*s - s**2 - 3 - s**2. Suppose 416*d - 215*d - 96 = 233*d. What is k(d)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1762 and -2?\nAnswer: -0.3524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**5\/5 - 3*m**4\/5 - m**3\/5.\nAnswer: -m**3*(m + 1)*(2*m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence chc when three letters picked without replacement from {h: 4, j: 6, c: 2, w: 1}.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-690)\/667)\/(-30))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1 + sqrt(7) + -2 + sqrt(7) - (sqrt(1008)*2 + sqrt(1008)))**2 + (-5*sqrt(672) + sqrt(42))\/sqrt(6) + 3.\nAnswer: 49*sqrt(7) + 8101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 4*k + 15. Suppose 41*f - 8 = 42*f. Let z be s(f). Let x = -9.5 - -10. Which is the nearest to -2? (a) z (b) 1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*r - 4855 - 4019 = 366. Calculate the remainder when r is divided by 400.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.5, 3\/7, 1\/4, 1\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15956 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*o**2*v**5 + 6557*o**2*v**3 - 913*o**2*v - 233*o**2 wrt v?\nAnswer: 40*o**2*v**3 + 39342*o**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 224 - 209. Solve -5*x - q = -0*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 9, m: 10}. Give prob of sequence jmmm.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/13 (b) 5 (c) -24\/5 (d) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -204559*n. Let r(u) = 185*u. Calculate r(s(y)).\nAnswer: -37843415*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -14232523?\nAnswer: 14232524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -13. Put 5, -1\/4, y in ascending order.\nAnswer: -1\/4, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 9 = -5*n + 4, 3*w - 13 = 5*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**6)**(1\/33)\/(f**(-4\/9)*f)**(-11) assuming f is positive.\nAnswer: f**(623\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 7:07 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126479*r + 126478*r + 32 = b, -23*r = 2*b - 85 for b.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a litre in millilitres?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 - 222111022120?\nAnswer: -222111022011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, -3, 45 in increasing order.\nAnswer: -3, 0.02, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((-122)\/40 - -3). Let n = u - 20. Suppose n = -3*q - 7 + 4. Let f(s) = s**3 + s**2 + s. What is f(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6580 and 2961.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -191\/21240 and 119\/5310.\nAnswer: 21240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 91 = 6*t + 4*t, -5*t + 199 - 143 = 2*j for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 7*r**2 + 3*r - 3. Let a(s) = 84*s**2 + 28*s - 28. Let m(x) = x**2. Let o(w) = -a(w) + 20*m(w). What is 28*i(c) + 3*o(c)?\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiii when four letters picked without replacement from iiiiiiiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 154, 179, 238, 343, 506, 739?\n\"Answer: 2*g**3 + 5*g**2 - 4*g + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*r**5 + 39*r**5 - 87*r**5 + (r**2 - r**2 - 2*r**4)*(0*r - 2*r + 2 - 3) - 1 + 1 - 2*r**5.\nAnswer: -54*r**5 + 2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*v + 1. Let r = v - -4. Factor 3*t**2 + t + 2*t**3 - t**4 + t**r - 6*t**2.\nAnswer: -t*(t - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m + 6. Let w be x(-9). Let t(l) = -10*l - 138. Let c be t(-16). Let q = c + w. Sort -6, -3, q in descending order.\nAnswer: q, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 4207.173 months?\nAnswer: 35.059775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315*p + 148*p = -41*p + 3276 for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4181141 greater than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/5 - 218869*s\/5 - 218868\/5.\nAnswer: -(s + 1)*(s + 218868)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + a + 13, -8*a = 4*l - 3*a - 49. Let z be 4\/(l\/(4 - 1)). Solve -2*k - z*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19.7 and -118.\nAnswer: -2324.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -86\/1407 and -61\/84?\nAnswer: 5628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.08 + 2.08. Which is the closest to 3\/2? (a) -3 (b) k (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8306?\nAnswer: 2, 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*r - 6. Let p = -17 + 43. Calculate the common denominator of r\/(-4)*20\/33 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -9. Let i(x) = -6*x**2 + 9*x - 2. Let l(k) = -7*k**2 + 10*k - 3. Let t(u) = 3*i(u) - 2*l(u). Let y(o) = -3*o**2 + 6*o. Give j*y(n) - 6*t(n).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - q**2 + 3*q + 3. Let v be j(-5). Suppose -32 = g - v. Let p = 6 - -1. What is the highest common divisor of p and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oqyxqo. Give prob of picking 2 x and 1 o.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1651, 2\/9, -9.\nAnswer: -9, 2\/9, 1651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 2*p**6\/15 + 4*p**5\/5 - 23*p**4\/5 + 44*p**3\/15 + 44*p**2\/5 - 64*p\/5 + 407. Let y(a) = 0. What is a?\nAnswer: -8, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21683342 is divided by 297032?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4815 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*v + 210*v = 48 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 0*v**2 + v**2 - 13*v**2 - 11*v**2. Let z(y) = -29*y**2 + 14*y**2 + 17*y**2. Calculate h(z(f)).\nAnswer: -92*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-156)\/(-208))\/(1\/20) - 14. Let z(c) = -c**3 + 6*c**2. Let b(p) = -p**2 + 5*p - 6. Let i be b(4). Let s(m) = -m**3 + m**2. What is d*z(y) + i*s(y)?\nAnswer: y**3 + 4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {k: 1, y: 2, g: 4, n: 4, i: 2, j: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -5032*m + 468092. Give x(93).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34\/17*605\/121.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -16*k + 36. Let q be b(-18). Suppose 0*s = 6*s - q. Let h = s + -36. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101 (base 2) in base 4?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 60, 2, -169506 in decreasing order.\nAnswer: 60, 2, -169506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2464 + -2348.7. Let u = b + -116. What is the closest to 3 in -3, u, 2, 5\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -422 divided by -136?\nAnswer: 211\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 8:55 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 10*c**2 - 10*c + 4. What is g(9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1 + (-3 + 1 + 3)*(-4 - 3 + 5) + 6 - 2 - 2 - 1 + 2 - 2 + (-1 - 3 + 5)*(1 + 2 + 3))*(v + 0*v - 2*v).\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 5*f + 1. Let x be (4 - 3)*(1 - 0). Let m be o(x). List the prime factors of ((-4)\/m)\/(1\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 3*p - 6. Let j be l(4). Let o be (-30)\/j + 0 + -3. Solve -2*i - i = -o for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -56. Let i be (z\/4)\/((-3)\/(-6)). Suppose i = 3*n - 2*n. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*k = 29, 5*k = -3*r + r - 5. Let f be 92\/r + (-57)\/(-95). Sort f, 4, -4, 2 in descending order.\nAnswer: f, 4, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5689075 divided by 133\nAnswer: 42775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a kilogram in grams?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*m**3 - 1257709*m**2 + 7833469*m + 1?\nAnswer: 24*m - 2515418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-112)\/32*(92\/69)\/(2\/6).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s - 11. Let w be t(10). Suppose -w*r + 7*r = -5*l - 29, -3*r + 1 = l. Solve 0*n - 10 = -r*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -4*f. Suppose -4*b = -f*b. Suppose b - 2 = -l. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1004756344 + 0*m - m**3 + 0*m + 1004756344.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1094514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 14, b: 1}. What is prob of sequence hh?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 30 = 9*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 c when two letters picked without replacement from chlllon.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1854 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 257025700 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 6 = 3*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -7*w**3 + 1. Calculate the lowest common multiple of ((-9)\/(-12) - (-99)\/(-660)) + 54\/10 and f(-1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4173*r + j = 4170*r - 12, 0 = -3*r + 2*j - 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -468 - -468. Suppose h = -40*y + 360 + 1640. Solve y = 3*j + 7*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 5*j + 2 = 0, -14 = 5*d - 7*d + 3*j. Solve -d*o = -u - 8, -o + 5*u - 5 = 4*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i + 2. Let v be u(0). Suppose v*h - 64 = -2*h. Does 11 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136782 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -253*o + 159. What is the hundreds digit of i(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*z + 22 = 86, o = 3*z + 94. What is the remainder when -1*9460\/(-8) - 15\/(-10) is divided by o?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -4*w**2 - 281*w + 1269. Give k(-74).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 4*g**2 - 4. Let y be i(3). Suppose 18*j = 9*j + 1215. What is the highest common divisor of y and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 2*x + 2. Let n be g(-4). Suppose 4*d - 37 = -3*l, 2*d + 4*l - n = -0*d. Suppose 0 = -3*w + 22 - d. Is 2 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111101111011 - 1001100?\nAnswer: 10111100101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/8 of a century?\nAnswer: 1950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 4) to base 8\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1628137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -142846 divided by 946\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 358*w**2 - 358*w**2 + 15437*w - 8092*w**3 - 15437*w.\nAnswer: -8092*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*b + 68*b**2 - 67*b**2 + 25*b - 5 + 16*b + 12*b as s + z*b + p*b**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of 0 + 6\/5*d**5 + 0*d**3 + 1\/15*d**6 + 0*d**2 + 8*d + 6*d**4. What is i in o(i) = 0?\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 5*c - 10 = -0*c, 2 = 5*a + c for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (20\/(-12) - -2)*(-201)\/(-39). Let p = 18\/13 - m. Let t = 0.1 - 0.6. What is the second biggest value in p, 6\/7, t?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 61 in -0.63, 1, -52?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x + 1 + 905. What is the hundreds digit of (-3)\/1 - (x + 8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 10:12 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/4 + 97*l\/4.\nAnswer: -l*(l - 97)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1886\/1695 + -106\/339. Which is the fifth smallest value? (a) -0.4 (b) 7 (c) l (d) -8.3 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 3*n + 2. Let h(l) = l - 1. Let x = 29 - 31. Let u(f) = x*i(f) - 6*h(f). Find the first derivative of u(r) wrt r.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(825))\/(sqrt(11) - sqrt(22)\/sqrt(2)*2).\nAnswer: -10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*b - 71*b - 16281 = 0. Calculate the greatest common factor of b and 189.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 9:10 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1683504661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 3 = 5*j, 4*f - 12 = -6663*j + 6664*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 3, 0.3, -0.1, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 20826, 42303, 63780?\n\"Answer: 21477*k - 651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((3696\/(-32))\/(-77))\/((-2)\/4 + 1). Let d(j) be the first derivative of 3 + 0*j + 0*j**2 - 1\/2*j**4 - 7\/6*j**6 - 9\/5*j**5 + 0*j**g. Factor d(q).\nAnswer: -q**3*(q + 1)*(7*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (136\/(-12) - 44\/(-132)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/19 + (-8)\/(-18) + 3916\/342. Let m(a) = 2*a**2 - 25*a + 18. What is m(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 2 (c) -0.08 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + 13\/3 - (0 + 0). Which is smaller: f or 0.42?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 5*h, 2*b - h = 2*h - 2. Calculate the common denominator of 214\/(-10)*b\/4 and -3 + (-158)\/24 - 2.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 22, 2, 7, -64, 4 in decreasing order.\nAnswer: 22, 7, 4, 2, 1, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/39)\/(11\/22)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2460*a - 2*g = -2457*a + 34, a + 38 = -2*g for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, y: 1, w: 4, b: 6, v: 6}. Give prob of sequence ab.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -0.3, -21, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uy when two letters picked without replacement from {h: 1, w: 1, y: 2, g: 1, r: 1, u: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*q - 5*p = -11, -5*p + 29 = 4*q. Is (-4)\/q - 11\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, f: 1, r: 1, j: 2}. What is prob of picking 1 j and 1 r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 2:22 AM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 + 4*r**3 - 3*r**3)*(1067 - 1058 + 1048) + 2*r**3 + 2*r - 2*r.\nAnswer: 2116*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -143 divided by 134903\nAnswer: -143\/134903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n + 3. Let q(a) = -3*a + 10. Let y(o) = 5. Let x(j) = -2*q(j) + 5*y(j). Calculate 3*x(l) - 5*z(l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -2, -71, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3079018 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12012184 and 4.\nAnswer: 12012184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.864 - 2.7. Let f = 50 - 49.964. Let n = k + f. Put 2, n, 0.4 in ascending order.\nAnswer: n, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a micrometer in nanometers?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1799975 * 92\nAnswer: 165597700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.084 and 2431.\nAnswer: 204.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2055309.\nAnswer: 3, 685103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**2 - 11*z**2 + 29*z**2 - 5*z**2.\nAnswer: 11*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/4374 and 37\/12636?\nAnswer: 113724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**4 + 45*z**3 + 260*z**2.\nAnswer: -5*z**2*(z - 13)*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by (6 - -1 - 4) + 19 + -1.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*t**2 - 5*t + 1.\nAnswer: -(t + 1)*(6*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3118635534.\nAnswer: 2, 3, 7, 2957, 25111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -106?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 436 - 170. Let s = -494 + x. Let l = -70 - s. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 140568 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 63*g**2 + 10. Let w(v) = 15*v. Give s(w(m)).\nAnswer: 14175*m**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a litre in millilitres?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2*l**5 - 34*l**4\/5 - 118*l**3\/5 + 202*l**2\/5 - 12*l = 0?\nAnswer: -3, 0, 2\/5, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 400552402 (base 6) in base 7?\nAnswer: 111332201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 2:12 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 7 (c) 0.3 (d) -1\/2 (e) 2819\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 0 - 2*d**2 + 12 + 3*d**2 - d**3 - 8. Let n be g(2). Factor 1\/2*w**3 + 1\/2*w + n + w**2.\nAnswer: w*(w + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*z + 15*z = 5*o + 45, -5*o = 4*z + 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 41 - -19?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -5*x + 10. Suppose 4*a - 26 = -a + 3*b, x*b - 4 = -2*a. What is the tens digit of 58\/a - (-2)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -26*f + 25*f. What are the prime factors of (4\/(-8))\/(f\/174)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56 and 126.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 403 and 7282977?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27475\/(-94200)*(-8)\/(-14)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -44261*o + 44114*o - 12495 for o.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 10, w: 10}. What is prob of sequence wk?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 50*b**3 - 1128*b**2 - 62*b + 108. Suppose 2*c + 5 = 15. Let o(l) = -52*l**3 + 1127*l**2 + 63*l - 108. Let m(j) = c*d(j) + 4*o(j). Factor m(q).\nAnswer: 2*(q - 27)*(3*q + 1)*(7*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*p + 12*p + 0*p + 6*p - 16*p.\nAnswer: 14*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (a + 1 - 1 + (-3 + 0 + 6)*(3*a + a - a))*(a - 4*a + 2*a) as m*a + i*a**2 + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1805 + -0.4.\nAnswer: 1804.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - d - 1. Let f = -18 + 34. Let b(x) = -4 - 8*x + 16*x + 7*x**2 - f*x. Determine b(z) - 6*k(z).\nAnswer: z**2 - 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 191 - 117. Is 37 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/14*((-10)\/(-25))\/1.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61344 by 2.\nAnswer: -30672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.06, -9\/5, 0.7?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y + 174. Let b(u) = 3*u - 638. Let q(a) = 3*b(a) + 11*l(a). Let n(s) = -9773*s**2. Give n(q(r)).\nAnswer: -39092*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 6. Let x = l + -1. Is 4 < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -11186, -11184, -11172, -11144, -11094, -11016?\n\"Answer: x**3 - x**2 - 2*x - 11184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005658 to four decimal places.\nAnswer: 0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**3 - 3*q**2 - 2*q. Let b = -1 + -1. Let a be j(b). Let s(z) = 1535*z + 21. Let h(f) = -1919*f - 23. Let i(k) = -4*h(k) - 5*s(k). Determine i(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 10 = -3*i, 0 = -2*i - 0*d + 3*d - 3. Let k = i + 1064. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36 + 57. Let r(g) = -11*g. Let x be r(4). Let d = x + 65. What is the greatest common factor of d and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79710 is divided by 438.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*u + 6*u. Does -4 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 203 - 75. Let n = l + -124. Solve n + 1 = p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 57\/2 of a meter?\nAnswer: 2850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x + 47. What is l(12)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-16)\/10)\/(10\/(-25)). Suppose 97 = n*j + 21. Does 8 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 181002933?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2411*t - 439330 = 3815*t + 3644*t - 1071010 for t.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.043 - 23.9114?\nAnswer: -23.8684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.19 - -11.89. Let l = 330 - 342. Let x = p + l. Sort x, -0.09, 3 in ascending order.\nAnswer: x, -0.09, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.24 - 4.2399995629. What is i rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 6*u - 41. Give t(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + 0 - (1 + 0)) + 5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 5*x + 171 = 2*d, -d = -3*x - 30. Let y = d - 14. Let i = y + 6. Calculate the remainder when 91 is divided by i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*j - 502*j - 98*j = -3408 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -5235 and -5238 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 w, and 1 x when three letters picked without replacement from llwxyyyyylvlllyyylw.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4126 * 5\nAnswer: -20630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/7 + 1\/7*x**5 - 2\/7*x**2 + 1\/7*x + 1\/7*x**4 - 2\/7*x**3.\nAnswer: (x - 1)**2*(x + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2. Let n(j) be the second derivative of 5*j**3\/2 - 35*j. Determine i(n(x)).\nAnswer: 225*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1720\/(-258) - 14\/(-2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 5*b = 340, -b = -5*m + 3*b + 384. Is 16 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 389*r**2 + 503757*r + 2590 = 0. Calculate r.\nAnswer: -1295, -2\/389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/54502 and 61\/15291704?\nAnswer: 107041928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0016474 rounded to 4 dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.3 + 2.35. Suppose 2*v + 3*d + 8 = 0, 4*v + 4*d + 11 = -5. Sort b, 0.2, v in decreasing order.\nAnswer: 0.2, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k + 378727*v = 378722*v + 2, 0 = k - 4*v - 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 278005 = 278007?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - 3*q + 0 + 1)*(-7 - 3*q + 7).\nAnswer: 9*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 10676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 1 = 4*w, -8*s + 9*s = 4*w + 5 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 43\/4 + (-4)\/(-16). Suppose -10 = a + 4*i - 2, 5*i = -a - j. Suppose 4*b = 4*z - 16, -z - b + 44 = 4*z. What is the least common multiple of a and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 152, 246, 510, 1022, 1860, 3102?\nAnswer: 4826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-42)\/(-3) - -2) + 0. Suppose -4 - 4 = -2*p + 2*y, 4*p + z = -4*y. Suppose p = -5*w + 20, 0 = 5*a - 0*a + 4*w - 41. Solve 3*k - 1 = a for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.4089 + -1.23.\nAnswer: 0.1789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -8*f - 3. Let s(q) be the first derivative of 95*q**2\/2 + 35*q - 157. Give -35*l(j) - 3*s(j).\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 8) to base 2\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10034*((-16 + 8 - (-3 + -3)) + 5).\nAnswer: 2, 3, 29, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vawa. Give prob of picking 1 v and 2 a.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by (-107)\/(-3) + (-5)\/45*6?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 7) to base 13\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 - 30. Calculate the remainder when 10 is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -662432*0.3\nAnswer: -198729.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 104*y**2 + 64*y + 64. Suppose -5*s - 25 = -10*s. Let k(u) = -2*u**2 + 12*u - 12*u - 5 - 2*u**2 - 4*u**2 - 5*u. Give s*b(p) + 64*k(p).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 469.12 + -10.12. Let b = q + -461.595. Let g = -2.6 - b. Round g to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154407?\nAnswer: 3, 11, 4679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 8*y. Let w(s) = 132574*s**2. Give w(k(v)).\nAnswer: 8484736*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, o: 3, h: 2}. What is prob of picking 1 w and 1 o?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -436851876 divided by 3832034\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -447 - -442. Let j(d) = -12*d - 50. What is the remainder when 28 is divided by j(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**2 + 2*u**2 + 2*u**2)*(1 + 2*u - 1) + (0 - 5 + 2)*(0*u**3 + 5*u**2 - 2*u**3 + 2*u**2).\nAnswer: 8*u**3 - 21*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f + 42294884565 - 42294884565.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of -z**6\/180 + z**5\/9 - 6*z**2. Factor o(d).\nAnswer: -2*d**2*(d - 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -5 - 5\/4*l**4 + 0*l - 1\/3*l**3 + 0*l**2. What is the third derivative of o(x) wrt x?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 15) to base 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in -46, -8, -0.05, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/3 (b) -4 (c) 485885 (d) 1\/9 (e) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 19410515, 19410508, 19410491, 19410458, 19410403, 19410320, 19410203?\n\"Answer: -o**3 + o**2 - 3*o + 19410518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 9*c**2 - 99*c - 800. Give s(-8).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 103\/28 + -24\/7. Let a be ((-15)\/12)\/5*-2. What is the closest to -2\/7 in w, -0.2, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 413238882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 150 = 2*h, -2*h = 4*d - 0*h + 122. Let r be ((-4)\/(-6))\/(d\/(-63)). Which is the second smallest value? (a) r (b) -1 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h = -60*h + 6059. Solve h*v - 79*v + 16 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-241443)\/54*-6 + 17?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-106)\/(-9 + 7) + 3 + 1. Let i = 44 - 25. Let b(f) = i*f - 1 - r*f + 26*f. Determine b(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0457909 to 3 decimal places.\nAnswer: 0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 3:41 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x**3 + 10*x**2 + 70*x - 29. Is 13 a factor of i(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 9 = 4*v + 4*z, -4*z = -12. Let b(p) = -5 + 1 + p**2 + p**v - 3*p**2. Suppose -8*o + 5*o = -9. Give b(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4277 * -0.5031.\nAnswer: 2151.7587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3*(sqrt(147) + 6*(sqrt(147)*1 - sqrt(147))**2 + 1)*6*-4.\nAnswer: 67 + 504*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 328\/(-2296)*294\/24?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k + s = 28, -84173*k - 5*s = -84172*k - 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**4 + x**3 - x + 1. Let v(d) = 15*d**4 - 2*d**3 - 91*d - 5. Let k(r) = -5*s(r) - v(r). What is the second derivative of k(h) wrt h?\nAnswer: -120*h**2 - 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 4*k - 2*k + 16, -3*k = 5*m + 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 163803 less than -1.4702?\nAnswer: -163804.4702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + 0 + (-54)\/(-6). Suppose -z - 3*d - 4 = -5*d, -l = -3*z - 2*d. Suppose 0 - 4\/5*r - 2\/5*r**z = 0. What is r?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*y - 3*u, -5*y - u + 46 = 2*u. Is y a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 77 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4343142 is divided by 502?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 67, -24 in descending order.\nAnswer: 67, 2, 1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1965 - 1964.8. Suppose 6*f = f - n + 9, -5*n = -20. Which is the second biggest value? (a) -2 (b) p (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 162.7 + -177. Let w = -16.3 - q. Let u be (-3)\/2*(-16)\/12. Which is the closest to u? (a) w (b) -3\/2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 899 is divided by 311.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101, -31, -621, -1897, -4087, -7419?\nAnswer: -12121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -32, 292, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -110071 or -110077?\nAnswer: -110071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m - 8. Let q be u(9). Let z = 14 + q. Suppose 10*a + 400 = z*a. Round a to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*q**2 - 2 + 6*q - 6*q + 3*q**2 as w*q + x*q**2 + b and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -1, 1, 1119, 2\/13 in descending order.\nAnswer: 1119, 1, 2\/13, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 + -57. What is p rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1899470 (base 13) in base 15?\nAnswer: -a977b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 199, 336, 347, 160, -297, -1096, -2309, -4008?\nAnswer: -6265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51 - -61. Which is smaller: 11 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-816 - -795) + (78 - 5)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -972*k*r**2*y**3 + 9423*k*y**3 - 3*k*y**2 - 10*r**2*y**2 wrt r.\nAnswer: -1944*k*r*y**3 - 20*r*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 8*l**3 - 12*l**2 - 53*l - 120. Give t(-6).\nAnswer: -1962","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -x**5\/60 - 3*x**4\/8 - 7*x**3\/6 - 109*x**2. Give o(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*l - 2. Let k = -0.45 - -0.75. Which is the second smallest value? (a) 3\/4 (b) l (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22572 and 757053?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1383674907?\nAnswer: 3, 461224969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, 3446, 6945?\nAnswer: 3446","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 8*g - 5. Let b be -14 + 12 - (-5 + 1). Suppose -b*i - 4*i + 54 = 0. What are the prime factors of j(i)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 437224 and 14147?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = v + 3, 4*v - 3 = v + 3*z. What is the remainder when (6 - (v - -2)) + 54 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29*a**5 + 6*a**4 - 11*a**4 - 4*a**2 + 143*a**5 - 3*a**4 - 12*a + 2*a**2 - 1 wrt a?\nAnswer: 6840*a**2 - 192*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21948 by -7316.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-3*2*sqrt(20) - (1*sqrt(20)*-3 - sqrt(20)))\/(sqrt(324)*-2 - sqrt(48)\/(sqrt(12)*2)))**2.\nAnswer: 2818\/1369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5695 by 3019.\nAnswer: 5695\/3019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t + 8. Let n be f(-12). Let d = -14\/145 + -3\/29. Which is the closest to 1? (a) d (b) n (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 5, 7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 7*z**2 - 10*z - 57. Let o(i) = 8*i**2 - 10*i - 56. Let r(n) = -7*m(n) + 6*o(n). Let p be r(-6). Which is smaller: p or -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-18)\/(m\/m**11) assuming m is positive.\nAnswer: m**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 40 (c) 0.1 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -108, -407, -882, -1527, -2336?\n\"Answer: g**3 - 94*g**2 - 24*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17510*j**2 + 8782*j**2 + 8727*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 k when two letters picked without replacement from {y: 6, e: 3, q: 2, c: 1, k: 4}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 806.1064ml in litres?\nAnswer: 0.8061064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x - 13. Determine l(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 56. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**3 + 3*v**3 - 8*v**3 + 488*v - 226*v - 262*v + 6*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + r + r)*(-4*r**2 + r - r)*(2 + 4 - 4).\nAnswer: -16*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 10101011000111110100111101?\nAnswer: 10101011000111110101000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, x: 4, g: 3, r: 1, n: 4}. Give prob of picking 2 n, 1 u, and 1 x.\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - h**2 - h - 1. Suppose 8 = 2*t + 2*t. Let p be r(t). Solve -3*i + k - 14 = -p, -i - 19 = -4*k for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10 - 6)*43\/(-8). Let l = -22 - z. Put l, 2, 0.3 in decreasing order.\nAnswer: 2, 0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - -1b?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1044765.\nAnswer: 3, 5, 71, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1341423223 (base 5) in base 16?\nAnswer: -34e831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x + 5. Suppose -2*s + 92 = 2*m, -m + 10*s + 22 = 5*s. Let i(f) = 3*f - 137. Let y be i(m). What is q(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hbi when three letters picked without replacement from bhibbhbi.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -8*l - 2. Let y be n(-4). What is the units digit of ((-76)\/10)\/((-6)\/y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2178 and 1026?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 2\/9 (b) 3\/2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (87\/12)\/((-1)\/4) and (12\/16)\/(54\/64).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -2192.\nAnswer: -1\/1096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -3 - (4 + -3) - -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 375, -246, 0.4, -5.\nAnswer: -246, -5, 0.4, 375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2*sqrt(608))\/(sqrt(2) - (sqrt(2) + (sqrt(10) + sqrt(160))\/sqrt(5))) + 1.\nAnswer: -8*sqrt(19)\/5 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (69 - 146 - 167)*(-2 + 1 + 2)*(3*w**2 + 3*w**2 - 5*w**4 - 4*w**2).\nAnswer: 1220*w**4 - 488*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 3*x - 13. Suppose -3*o + x + 7 = 0. Solve -3*l = -l + o for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -31*a**4\/24 - 5*a**3\/6 + 3*a**2. Let n be q(-2). Let u = n - 19. Is u a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -113*n**3\/2 + 115*n**2\/2 + 112*n - 2.\nAnswer: -(n - 2)*(n + 1)*(113*n - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-6) + 48\/(-9) - 40388\/(-46). Calculate the greatest common divisor of q and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/((h\/h**(-1))\/h))**(-19)*(h\/(h\/(h*h**(-3\/4)*h)*h*h))\/h*h\/h**(-7\/3)*h\/(h*h*h**(-2))*h**(-7)*h**(-6)*h*h**7 assuming h is positive.\nAnswer: h**(-257\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*c - 9*c - 6*c)*(6*c**2 + 2*c**2 - 5*c**2).\nAnswer: 69*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - -5 - -2 - -13.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - -0.3. Suppose 2 = n, -4*d = -5*n + 2 + 4. Let t be -1*10\/11 + d. What is the third smallest value in 0, g, t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = -51 + 150. Sort -3, s, 0.\nAnswer: -3, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 k when four letters picked without replacement from {k: 12, n: 3}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**3 + 3*l**3 - 5*l**3.\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-1232)\/168 + 12\/9 + -1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-180)\/(-49)) - (-8)\/144?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*16\/(-600))\/((-2)\/(-5))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 409596.\nAnswer: 2, 3, 11, 29, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 343152?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 4:43 PM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3312409 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 200 and 60.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f - 586000. Let z be b(0). Round z to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17346187479 less than 809.9?\nAnswer: 17346188288.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -36353, -146467, -329991, -586925?\n\"Answer: -36705*d**2 + d + 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2*2\/(-16))\/(-7 - 53470\/(-7640)). Solve 0 = -3*g - d + 176 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -764 divided by -6.\nAnswer: 382\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8297 - -14034. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*h = -4*b - 12, 3*h - 9 = 0. Suppose 6*j + 9 = x + 2*j, 5*j = 4*x - 14. Let m be x + (-14)\/8 + 1. Put -5, m, b in decreasing order.\nAnswer: m, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 4*r + 45409, 40*b - 38*b - r = 90881. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from fffifffffifff.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {x: 4, f: 6}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 24. Suppose -2*c = -85 + 11. Calculate the remainder when c is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(8)\/(sqrt(8)\/sqrt(4) + sqrt(2)) + sqrt(4))\/(sqrt(8) + sqrt(128)))**2.\nAnswer: -9*sqrt(2)\/10 + 1809\/200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37927*l - 19062*l - 18956*l.\nAnswer: -91*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55105496?\nAnswer: 2, 6888187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3611 = 1229. Is t a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6814780.\nAnswer: 2, 5, 7, 48677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37944 and 1216440.\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1093 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1\/12)\/((a\/a**(-9\/4)*a)\/a*a) assuming a is positive.\nAnswer: a**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13914 - -428. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 4*w + 88. Let x be o(-8). Let k = 30.64 - 30.6. Sort x, 4, k in decreasing order.\nAnswer: 4, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 10\/(-25)*90.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 64 + 36 = 0. Suppose -s = -4*f - 5*y, -5*f + y - 2*y + 25 = 0. Find the third derivative of 0*q**2 + q**f - 5*q**5 - 5*q**2 + 2*q**2 wrt q.\nAnswer: -240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jbjjm. Give prob of sequence mjjb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 4:14 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/71886 and 97\/708.\nAnswer: 8482548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/1014 and -83\/225446.\nAnswer: 676338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 = c - 43 - 49 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2729, -2728, -2727?\nAnswer: -2726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + -1 + (166 - 68) + -50.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in millimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164 = 4*x + 56. Let t = x + -19. Solve -3*j + 4 = -t for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -103 + 105. Which is the third smallest value? (a) -1\/5 (b) 5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-3 - (-13)\/4). Let g be 3 + x + -4 - -2. Let c(v) = 25*v**2 + 2*v - 9. Let f(i) = 24*i**2 + 2*i - 10. Let a(p) = g*f(p) - 6*c(p). Factor a(u).\nAnswer: -2*(3*u - 1)*(5*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, -1, -35, 1, -4 in descending order.\nAnswer: 5, 1, -1, -4, -6, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -89*n - 3457. Determine z(-45).\nAnswer: 548","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 422 divided by -12?\nAnswer: -211\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 528864857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2304.723 from -0.085.\nAnswer: -2304.808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4133.39033 rounded to 1 dp?\nAnswer: 4133.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/7*(-168)\/(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -6*w**2 + 6333*w - 17. Let k(h) = -2*h**2 - h - 5. Calculate -4*k(z) + u(z).\nAnswer: 2*z**2 + 6337*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t**2 + 1050*t - 1050*t.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (0 + 0 + sqrt(343) + -2*(-3 + sqrt(343)) - (3 + 0 + (sqrt(343)*2 - sqrt(343)) + 4*(-1 + sqrt(343) + sqrt(343)))))**2.\nAnswer: -700*sqrt(7) + 34325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -591 - -1891. Does 13 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15.8 - 3.2. Let g = o + 20. Sort 0.5, g, -2.\nAnswer: -2, 0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/2)*k*k*k**(-9)*k*k)\/(k**(-2\/17)\/k*k**(2\/33)*k) assuming k is positive.\nAnswer: k**(-6107\/1122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvvvvvvvvcv. What is prob of picking 4 v?\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 2:52 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a decade?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**5\/3 + 6*k**4 + 10*k**3 + 14*k**2\/3.\nAnswer: 2*k**2*(k + 1)**2*(k + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 491880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-9)*2\/(-12)*3.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -4*j + 8. Suppose -4*q - 4*t = -4, 0 = -q + 5*t - t + 6. Let v be l(q). Let r be (0 + 3\/2)*-2. Sort -6, v, r, -1 in descending order.\nAnswer: v, -1, r, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -106, -99, -90, -79, -66, -51?\n\"Answer: i**2 + 4*i - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 11073*l + 3. Let y(p) = -13*p. Determine n(y(h)).\nAnswer: -143949*h + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.065 or 27.5?\nAnswer: -0.065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.4, 955, 3\/4 in decreasing order.\nAnswer: 955, 3\/4, 0.4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(242) - sqrt(242)*-1) - -1*sqrt(242)*-5 - 1*2*(sqrt(36)\/sqrt(2))\/sqrt(9))**2.\nAnswer: 70*sqrt(2) + 2451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**5 - 26092*z**4 + 42614684*z**3 - 212421620*z**2.\nAnswer: 4*z**2*(z - 3259)**2*(z - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r - 11. Let p be o(25). Suppose -4*i + p = 9*i. Calculate the remainder when 88 is divided by (-270)\/12*(-2 - -3 - i).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of 0*c + 3*c**2 + 0*c**7 + 9 + 0*c**6 + 25\/336*c**8 - 11\/3*c**3 - 5\/24*c**4 + 0*c**5. Find the second derivative of b(j) wrt j.\nAnswer: 500*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**2 - 51*m + 6*m - m**2 - m**3 + 10*m**2 + 32*m to t*m**3 + y + u*m**2 + f*m and give f.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1013 rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -2 + (-13 - -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/6 - 95*r**2\/3 + 929*r\/6 - 370\/3.\nAnswer: (r - 185)*(r - 4)*(r - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h - h - 2*h + (3 + 1 - 2)*(-3 + 3 + h))*(-4 - 1 + 4) to z + r*h and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34936 and 1467312?\nAnswer: 1467312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 36 = -2*b - 9, 199*t + b - 2*b + 4973 = -3*b for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/((-1)\/(4\/(-30))). Suppose 2*t - 3*t = 1. Let j = 2274 - 2269. Which is the nearest to i? (a) t (b) 1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -444 + 817. Let p = -371 + x. Let g = 0 - 0.12. Which is the closest to 2? (a) g (b) -0.1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 divided by -207\nAnswer: -32\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 859 and -82.91.\nAnswer: -71219.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -b**4\/24 + b**2. Let a(n) = 47*n - 5*n**2 + 38*n - 85*n. What is a(h(z))?\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 385 and 88?\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 4*m - 10. Suppose 0*l = m*l - 2. Suppose -j + 2*j = l, 3*v - 155 = j. Is 21 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 135 and 324?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 10*n**2 + 220*n. Let x be o(-22). Sort 2, 72, x, -4 in descending order.\nAnswer: 72, 2, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 17, 31975, -0.01?\nAnswer: 31975","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11\/3, 23\/5, 0.055, 1\/4, 2\/23, -0.24, 0.5?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-16)\/b)\/b**(-12)*b*b**29*b**17\/b*b)**28 assuming b is positive.\nAnswer: b**1176","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 58 in 0, -0.1, 1, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 80 - 12\/7*a - 2\/7*a**2.\nAnswer: -2*(a - 14)*(a + 20)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {w: 3, s: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kogbbokbggegogbbbeg. What is prob of sequence bgk?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.23 * 1.7407.\nAnswer: 0.400361","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -1. Let h(o) = -o**3 + 7*o**2 - o + 8. Let a be h(7). Let b = q + a. Solve r - b*f = -11, 0 = 2*r - 6*r - 3*f for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (18 - 23)*14\/2. Let d(h) = -137*h - 200. Is d(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of k**6\/30 - 95*k**2\/2 + 79*k. What is the first derivative of l(n) wrt n?\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-20)*31040\/(-9312)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -886.\nAnswer: 2658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37807641.\nAnswer: 3, 157, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: -3*(-48)\/(-32)*2\/(-12)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 15*i. Let c(k) = -3*k. What is c(m(s))?\nAnswer: -3*s**2 + 45*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 - 37. Let a = 62.034 + m. What is a rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9d70c4 (base 15) to base 13.\nAnswer: -1732228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74321 is divided by 6751.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence haaa when four letters picked without replacement from aaaaaaaaaagaaaaaahaa?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/5, 22, 30859, 16?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 25*c**2 + c - 21. Let r be k(25). What is the smallest common multiple of (-5 + r)\/(-2)*22 and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 152\/7. What is the biggest value in 0, x, -1\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9617 or 28258?\nAnswer: 28258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 121814 and 9702?\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3186 + 56.8186. Round w to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4251222 (base 6) to base 3.\nAnswer: -101121122012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11023 + 33414203?\nAnswer: 33430231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 8024 = -2*m, -2*m - j = -5680 - 2360. What is the thousands digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1196 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-6)\/2*1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 667427450?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/2, 2\/11, -1849.62?\nAnswer: -1849.62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5585*h**4 + 1408*h**3 - 92*h + 115978?\nAnswer: -67020*h**2 + 8448*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 3:58 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3140 = -37*k + 33*k. Let u = k + -366. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b + 11. Let w be x(7). Suppose 4*q + 240 = 5*r - 45, w*r - q - 239 = 0. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-147)\/(-63) + 1\/(-3). Solve 3*u - 4*s + 17 = 0, 2*u + 5*s + w = -2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in 48, -5, -2\/7, 3, 3\/4, 2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42 + 44. Suppose 0 = 4*d + 4*a - 36, -d - i*d + 2*a = -32. Let t = 3 + d. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 1:56 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 323813 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7122, -7203, -7284?\nAnswer: -7365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -53*k + 1229. Calculate x(27).\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15*(-14)\/28*-2.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -720, -6134, -21102, -50400, -98804, -171090, -272034, -406412?\n\"Answer: -796*g**3 - g**2 + 161*g - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3077424 divided by -384678.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -7*d**2 + 6*d - 23. Let l(c) = 20*c**2 - 17*c + 72. Calculate 4*l(r) + 11*u(r).\nAnswer: 3*r**2 - 2*r + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -7*p**3 + 4*p**2 - 16*p - 12. What are the prime factors of m(-6)?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fffs when four letters picked without replacement from yffffffyfyfffsffffff?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 + 0.1. Let g = 0.09 - 0.09. Let v = -17 - -18. Sort v, k, g in increasing order.\nAnswer: k, g, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2434\/5 + -483. Calculate the common denominator of g and (-2)\/(-9) - 5198\/1035.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 987 and 89151762.\nAnswer: 987","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4775.999874672 + -4776. What is f rounded to 6 dps?\nAnswer: -0.000125","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/4 and 6127 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, 1, -5 in ascending order.\nAnswer: -5, 1, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 5 = 3*u + 3*m, 2*u + 4*m + 16 = 0. Let r(g) = g - 3. Let i be r(7). Let y = -2 + i. Is y < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/27944 and -37\/27944.\nAnswer: 27944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22636*y + 5424?\nAnswer: 22636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6799 + 6799.1475. Round f to two decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12+8491\nAnswer: 8479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*b + 6*b + 27*b**3 + (5 - 2*b - 5)*(b**2 + b**2 + 0*b**2) + b**3 + 5*b**2 - 5*b**2.\nAnswer: 24*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2013405444 and 3.131.\nAnswer: 2.9296594556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of i**4\/12 - i**3\/2 - 5*i**2 + 31*i - 44. Calculate k(-6).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -2*y - 4*f + 15, 0 = 4*y + f - 110. Calculate the highest common divisor of y and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51186.\nAnswer: 2, 3, 19, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 194\/((-4)\/38*-1). Let q be ((36\/(-2))\/(25\/(-135)))\/((-2)\/(-60)). Let x = q - d. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**(1\/2)))**(2\/49)\/(j**(2\/7))**(9\/2) assuming j is positive.\nAnswer: j**(-64\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1979, 3939, 5899, 7859, 9819?\n\"Answer: 1960*n + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*c = -3*s + 397, 107*s + 3*c = 112*s - 885. Suppose 4*g = 855 - 275. What is the greatest common divisor of g and s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*n - 6*n - 2233582. Let p = 97714 + n. Round p to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76972.98 months in decades?\nAnswer: 641.4415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**(7\/6)))\/x)\/(x**(-4\/7)*x*x)*(x\/x**(-1\/4))**(1\/3) assuming x is positive.\nAnswer: x**(-89\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-42)\/h)\/h)\/h)\/h**(-47) assuming h is positive.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0112 - -1.0112. Which is the fifth smallest value? (a) -0.1 (b) q (c) 2 (d) -49\/2 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 4, -2, -1\/3, 3\/25, 4\/19 in increasing order.\nAnswer: -2, -1\/3, 0.1, 3\/25, 4\/19, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -16*p - 3 - 6 - 5*p - 2*p**2 + 5. Calculate the least common multiple of l(-10) and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 631.7 (b) -1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -100101100 (base 2) to base 10\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, m: 3, b: 3}. Give prob of picking 2 m.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1474525891?\nAnswer: 197, 331, 22613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 o when four letters picked without replacement from {o: 5, t: 5}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/18)\/j**(-5) assuming j is positive.\nAnswer: j**(89\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 3*s - 1055. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 32567077 - 1?\nAnswer: 32567076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 4*h - 3. Suppose -5*m = -2*t - 18, -t + h*m - 11 = -0*t. Solve -i + t = 3*x, -2*i - 5*x + x = -2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*d**2 - 4*d**2 + 15*d**2)*(864*d - 61*d**2 - 1949 + 1949 + 63*d**2).\nAnswer: 52*d**4 + 22464*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + i + 2*i)*(2*i**2 - 2*i**3 - 2*i**2) + (3 - 3 + i**3)*(-7*i + 14*i + 11*i) - 10*i**4 + 25*i**2 - 9841*i + 9841*i.\nAnswer: 6*i**4 + 25*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 244 + -145. Find the second derivative of 17*y**4 + 27*y + 3*y**4 - 4*y**2 + 7*y**2 - p*y wrt y.\nAnswer: 240*y**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s. Let w(r) be the third derivative of -r**4\/12 - 16*r**2. Determine w(f(b)).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.77 rounded to 0 dps?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4*v + 4 = 2*v, 0 = 2*m + v + 2. Which is bigger: -21 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 5:39 AM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 2*z, 4*p + 3*z = p. What is the remainder when 43 is divided by -5*(p - 22\/10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2062830 by -49115.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/(-60) - (-94)\/(-5). Which is smaller: v or -18?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 6*y - 49. Let o be w(0). Which is the third biggest value? (a) 0.4 (b) o (c) 0 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 12 - 3. Suppose -r*g + 15 + 0 = 0. Let c be (3\/5)\/((-2)\/10). Sort c, g, -4 in increasing order.\nAnswer: -4, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and 32891?\nAnswer: 32894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 2*f - f, f - 2 = -3*y for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 3*z = r + 14180, r + 4*z = 2813. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 d when four letters picked without replacement from dddnndndddnnddddddd?\nAnswer: 455\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 4. Let c(y) be the second derivative of -y + x + 0*y**3 - 1\/10*y**5 + 1\/6*y**4 + 0*y**2. Factor c(g).\nAnswer: -2*g**2*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -212570*b*h**3 - 2*b*h**2 - 45*b*h + h**6 - 3*h**4 - 2018*h**2 wrt h.\nAnswer: -1275420*b + 120*h**3 - 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005033 rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8326*i**5 - 3*i**3 - 5*i**2 + 21938*i + 1.\nAnswer: 499560*i**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/37 not equal to -1270.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, y: 4}. What is prob of picking 1 g and 3 y?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -7 + 2 + 3 + (23 - 15).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6085 divided by -706.\nAnswer: 6085\/706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeru when four letters picked without replacement from srersuusreueuwureerr?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -356 - -437. Suppose 5*a + 47 = -3*w - 77, 2*a - 8 = 0. Let x = w + d. Calculate the highest common factor of x and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 5*x + 8. Let g be (x\/((-50)\/(-8)))\/((-1)\/(-10)). Let k(w) = w**3 - 8*w**2 + 10. What is k(g)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in centuries?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -342929, -685827, -1028727, -1371635, -1714557, -2057499, -2400467, -2743467?\nAnswer: -3086505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 887286923 to the nearest integer?\nAnswer: 961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34 - -21) + -4 + -4 + -5.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1171611?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17.5? (a) -0.5 (b) 1.6 (c) -3 (d) 2 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5695857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of 9\/20*b**5 + 0*b**2 + 5*b + 0*b**4 + 0 + 1\/2*b**3. What is the second derivative of m(o) wrt o?\nAnswer: 54*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of g**3 - 1\/60*g**5 + 0 + 0*g - 1\/12*g**4 + 6*g**2. What is j(-6)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 41*f**2 + 7*f + 3. List the prime factors of k(-2).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 - -2 - (5 - 1). Solve u*g + 5 = -t, -4*t = -3*g - 2*t - 12 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -r**2 + 77. Let q(m) = 282*m**2. Determine w(q(z)).\nAnswer: -564*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**2 - 9250*n + 4278125 = 0 for n.\nAnswer: 925","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 - ((-2 - 85) + 205)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000021303679825 to seven dps.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + (-14 - ((5 - -3) + -12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -39*w**2\/2 - 24*w + 29. Suppose 0 = -3*v - 2*v + o + 123, 0 = 2*v - 3*o - 57. Let t(c) = -8*c - 5. Give v*t(s) - 5*g(s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 18*o**5\/7 - 554*o**4\/7 - 21394*o**3 - 1177782*o**2\/7 + 1040364*o\/7 + 287712\/7 = 0.\nAnswer: -72, -9, -2\/9, 1, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*g = 38*g + 384. Let v be (-2 - g\/15)\/(6\/20). Solve -j + 18 = v*n, -n - 3*j - 11 = -2*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -5*b**2 + 9*b**2 + 10*b**2. Suppose -4*g + 14 = z, -4*z - 10 = -5*g - 3. Let o(t) = 12*t**z - 10*t**2 - 4*t**2 + 0*t**2. What is x(o(v))?\nAnswer: 56*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30*(208\/(-144))\/(-13))\/(1\/3).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b*b**(-1)))**(-8\/9)\/((b*b**(-2\/7))\/b)**(1\/5))\/((b*b\/b**(-1\/2))\/b*b*b**5*(b*b*b**0*b)\/(b**0\/b)) assuming b is positive.\nAnswer: b**(-801\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -872*a + 3852*a - 113240 = 0 for a.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-6)\/18465)\/((-1)\/10) and 9\/2?\nAnswer: 2462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a + 104 = -2*a - 5*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.09693868 to four dps.\nAnswer: 0.0969","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 4*a = 670. Suppose -a = -q - 5*l, 2*l - 7*l = 5*q - 315. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -o**5\/60 - 13*o**4\/24 - 10*o**3\/3 - 11*o**2. Calculate the remainder when j(-7) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-21948)\/(-496))\/(2*1\/(-8)). What is the second smallest value in t, -0.3, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 22*q + 248. Let s be v(-11). Let f(b) = -33*b**2 - b**2 + 4 + s*b**2 + b + 34*b**2. Let w(g) = 5*g**2 + g + 3. Give 2*f(r) - 3*w(r).\nAnswer: -3*r**2 - r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 150.1593t to nanograms.\nAnswer: 150159300000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ejekkek. Give prob of sequence keke.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/25590 and -31\/13.\nAnswer: 332670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/6 and (-11)\/15*(-151372)\/12272 + 11 + -20?\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4 - 2 = 0. Let n = -1939 - -1937. Sort y, n, 6 in decreasing order.\nAnswer: 6, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29233 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**25*(c**(-19\/2)\/c)\/c*(c**(-14))**(-6\/25))**(2\/59) assuming c is positive.\nAnswer: c**(843\/1475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -87 - -133. Let l = w + -46. Suppose -4*q + 2*y + 522 = l, y - 513 = -3*q - q. Calculate the greatest common factor of q and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7315 + -4701. What is the hundreds digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.6406 rounded to zero dps?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 435542 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-177)\/472 - (-35)\/8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a millennium in decades?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 66337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/10)\/(8\/40).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -541684 or -541696?\nAnswer: -541696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -295.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177 = -7*o - 142 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30855 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d - 2. Let h be q(3). Suppose 25*c - 150 = 15*c. Let y be c*((-103)\/(-25) - h). Which is bigger: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 84, 176, 294, 432, 584, 744, 906?\nAnswer: 1064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 97087 and 12631?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w**4 - 2*w**3 - 3*w**2 - 2*w. Let x(u) = u**4 - u**2 - u. Let r(i) = 4*x(i) - z(i). Factor r(t).\nAnswer: t*(t - 1)*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1305*j**4 + 36*j wrt j.\nAnswer: -15660*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 - -24. Suppose -2*l - 2*l = -12, -4*k + 3*l + 39 = a. Suppose 3*q + 3 = -2*w, 3*w + 0*q - q = k. Let f(c) = c**2 - 2*c - 2. Give f(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 - 6*s**3 - 3*s**3 - 2*s**3.\nAnswer: -13*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 28*t**2 - 44*t + 51. Let s be u(-24). Let n = s - -1706. List the prime factors of n.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14584 + -4924. Calculate the greatest common divisor of m and 105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400.7433 millilitres in litres?\nAnswer: 0.4007433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 16*u**2 + 65*u - 603. Calculate a(13).\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 626*n**3 - 958*n**3 + 526*n**3 - 3 + 3 + 2*n**3 + (3*n + 2*n - 3*n)*(2*n**2 + n - n) - 4*n**3 + n**3 + n**3.\nAnswer: 198*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of 0*j**6 + 1\/35*j**7 + 4*j**2 - 1\/6*j**3 + 0*j**4 + 0 + 0*j + 0*j**5. Differentiate y(i) with respect to i.\nAnswer: 24*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2073460507 - 5?\nAnswer: -2073460513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/545 or -1?\nAnswer: 6\/545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -83 + 83. Solve 0 = 2*h - k*h + 6, 0 = 2*j + 5*h + 21 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 23*j**2 + 6. Let s be z(-4). Suppose 0 = -4*q + 2*x + s, -185 = -3*q + 4*x + 108. What is the remainder when q is divided by 25?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1963, -1964, -1965, -1966, -1967, -1968?\nAnswer: -1969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.9652855s to hours.\nAnswer: 0.00165702375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -4*y - 2. Let z(o) = -o - 1. Let t be z(0). Let j(r) be the third derivative of -r**4\/24 + 3*r**2 - 75. Determine t*w(a) + 5*j(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, -1.674, 18699?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 126 + 19?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s**2 + 9. Let h(u) = -24*u. Calculate h(p(v)).\nAnswer: -72*v**2 - 216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*g = -43, 0 = v + 4*g - 11. Let l be 0 - -2 - 152\/(-4). Suppose -l - 2 = -3*f. What is the remainder when v is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -389 + 141. Let n = 247.8 + q. Which is the closest to -10? (a) -5 (b) 1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 411559947.\nAnswer: 3, 1193, 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-8 - -4)*177\/(-6) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/(-8) - (-2)\/(-8). Let u be 18\/(-54)*(-12)\/(-2). Put u, -4, h in ascending order.\nAnswer: -4, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -13*f**2 + 24*f + 7760. Let s(g) = -4*g**2 + 7*g + 2585. Determine -2*i(o) + 7*s(o).\nAnswer: -2*o**2 + o + 2575","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2, -1\/3, 107\/369, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 48*t + 576. Calculate a(25).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1165a1113 + 0?\nAnswer: -1165a1113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**2 - 32*x**2 - 32*x**2 - 5*x**2 + 35*x - 9*x + 4*x**2 + (-x - 5*x + 4*x)*(-4*x + 4*x + x) + 4*x**2 + 0*x**2 - 5*x**2.\nAnswer: -65*x**2 + 26*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t. Let n = -4 - -6. Let b be (12\/10)\/((-2)\/(-5)). Let a(u) = -b*u - 2*u + 5*u + n*u. Calculate a(y(l)).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 11) to base 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 2, -4*d - 8351 + 115872 = -u. What is the ten thousands digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**3 - 2. Let f(n) = n**3 - 16*n**2. Let o(j) = -j**3 - 3*j**2 - 1. Let i(g) = f(g) - 5*o(g). Calculate -7*d(z) - 2*i(z).\nAnswer: 2*z**3 + 2*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 995147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 6:56 PM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**2 - 4*c**2 + 3*c**2)*(0*c**2 - c**2 + 3*c**2 + (-c + 3*c - c)*(-2*c - 2*c + 6*c)).\nAnswer: -16*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 98*v**3 - 1858*v**2 + 3256*v + 136.\nAnswer: 2*(v - 17)*(v - 2)*(49*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 216*b**2*p**2 - 331*b**2*p + b**2 - 310*b*p**3 - 2*b*p**2 + 2*b*p - 2*p wrt p?\nAnswer: 432*b**2 - 1860*b*p - 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1982*m + 2010*m = 476. Calculate the remainder when 1\/(2 - 93\/47) is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*u - 24 - 25. Calculate the greatest common divisor of u and 259.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j - 1. Suppose 287 - 292 = -5*m. Let d(z) = 3*z + 7. Give m*d(p) + 2*q(p).\nAnswer: p + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 1109*x + 54339. What is z(-49)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -6. Let s be k*(-14)\/16*8. Suppose 0 = 3*i - 4*i - 5*z, -2*i + s = 3*z. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325) - ((sqrt(325) - -2*sqrt(325)) + 0))*-6)**2.\nAnswer: 46800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**3\/4 - 1315*v**2\/4 + 107250*v + 544500 = 0.\nAnswer: -5, 660","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 8 - (4 + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 247\/52 - 2\/(12\/30). What is the closest to -0.02 in q, 6, 11?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*m = -5*z + 753, -249173*m - 2*z = -249170*m + 117 for m.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 4*t**2 - 5*t + 3. Let p be d(5). Let h(a) = a - 10. Let v be h(12). Do p and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -322 divided by 46\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/(-12)*(-12)\/(-15). Let v = 2.14703 - 2.64703. Let w(p) = p**3 + p**2 - p + 1. Let r be w(0). Which is the nearest to r? (a) v (b) 1\/4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 (base 5) in base 7?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*b - 16 = 3*w, 0 = 3*b - w - 17. Suppose i + 8 = -5*j - b, -5*j = 15. Which is greater: i or 4\/99?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n - 1226 + 19*n**2 - 21*n**2 + 13785 + 3341.\nAnswer: -2*n**2 + 2*n + 15900","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -16*q**2 + 7. Let h = -5 + 12. Let w(x) = 5*x**2 - 2. Let c(y) = h*w(y) + 2*o(y). What is c(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 6)*((-2*d + 0 + 0)*(0 - 2 + 4) - 2 + 2*d + 2 + 4*d - 5*d - d - 3*d + 5*d - d + 45 - 45 - 96*d).\nAnswer: -198*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10959176, 10959180, 10959184?\nAnswer: 10959188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2*q + 3)*(0 + 0 - 2) + 3*q + 0*q - 7*q + (-3 + 3 + q)*(-4 - 1 + 3) to b + k*q and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 3150, -1844, 0.\nAnswer: -1844, 0, 3, 4, 3150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 768 by 2.\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a = 13*a. Suppose a = 3*r, 5*r - 27 = -3*x + r. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + h + 6 = 0, -3*y + 271*h - 270*h + 1 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*-3*2\/4. Suppose -4*g = 4*k - 84, 2*k + 50 = 2*g + s*k. Suppose -3*d + 57 = -5*w - g, d + 4*w = 19. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39 + 111. Suppose 3*g - 40 = -4*v, -4*v + 4*g = -g - b. Let o = -9363 - -9370. What is the remainder when v is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -18, -42, -70, -102?\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 + 4*o**2 - 6*o**2)*(15 + 6 - 19 + 3*o)*(-8 + 3 + 0).\nAnswer: -15*o**3 - 10*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of 239*y**9\/504 + 91*y**5\/60 - y**2 - 112*y. Find the third derivative of x(j) wrt j.\nAnswer: 28680*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*f**4 + 2)*(-2*f + 3 - 3) + f**5 + 0 + 0 + 0*f**5 + 6*f**5 + 3*f**5 + (-4*f**3 + f**3 + 10*f**3)*(-f + 4*f + 0*f)*(f + 0*f + 0*f).\nAnswer: 27*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 2.36927.\nAnswer: -0.947708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 1\/4, -125?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.3 and 61.5433.\nAnswer: 141.54959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 466311713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 136\/9, -2\/7, 0, -5, -4\/95?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/400246 and -139\/8694.\nAnswer: 10806642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 75 + -39. Calculate the least common multiple of c and 6.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 + 24. Sort 2\/7, h, -5 in decreasing order.\nAnswer: 2\/7, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1732 - 1730. Put m, -2\/19, 0.19 in increasing order.\nAnswer: -2\/19, 0.19, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 1)*(-1 + 1 - 4*i + (-4 + 4 + i)*(4 - 2 - 4) + 4 - 2*i - 4) to t + l*i and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/554326 and 41\/18?\nAnswer: 4988934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 4*h**2 + 14*h + 86. Let f be l(7). Solve -21*n - 47 = f for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 10*k + 2. Suppose -16*t + 11*t + 50 = 0. Let v be m(t). Is v\/4*386 + -2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 2:28 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 341131?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) 3 (c) 3\/6164\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/(-9025)*105*(-360)\/(-84)?\nAnswer: 18\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilogram in grams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, g: 7, z: 4}. Give prob of picking 1 d, 2 g, and 1 z.\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 3 - (500 - 490)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 126.72 - 127. Let b = g - -0.3372. Round b to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 9:05 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2914 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14 - -687?\nAnswer: 673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/6, 258.5, -0.03, 0.1, -3\/7.\nAnswer: -3\/7, -0.03, 0.1, 5\/6, 258.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2 - 33*z - 13. Let c be t(17). Solve -c*i - i = -10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 12 - (-2 - 2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 3) + 0 + (7 - 2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 89 - 137. Let t be 1\/4 - 124\/j. Let c(i) = i**3 - 8*i**2 - i + 11. Give c(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4253923.\nAnswer: 29, 47, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 6*f**2 + 8*f - 7. Let t be h(5). Let a be (12\/(-18))\/((-4)\/(-6)). Let s = a + t. Does 5 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -119 - -80. Is 8 a factor of (-4)\/(-26) - 930\/y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -w + 54. Suppose -4*m = -w - 5. What is the least common multiple of m and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 744029.4km?\nAnswer: 744029400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2105\/3 + 694. Let m = 37\/6 + f. Suppose 4*b - 13 = 3*c, -5*c + 2*b + 4 = 7. What is the closest to c in -4, 5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0919155064 to four decimal places.\nAnswer: -0.0919","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 22*q - 12 + 7*q - 14*q to the form l + b*q and give b.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.46 in 17\/179, 1\/6, -4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-64)\/(-12))\/(14\/126) and 324?\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 4:43 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 - 26. Suppose v = -4*m - 14, 3*m - 6 = w*v + 6*m. Suppose 0 = -v*o + 29 - 13. Does 2 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of f**3 + 8*f - 7. Differentiate b(n) with respect to n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24532 + 1222*s**3 - 45334 + 24528 + s wrt s.\nAnswer: 3666*s**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36099358511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.81 + 0.19. Let h = -189\/1384 + 2\/173. What is the second biggest value in h, -2, w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.6 + -0.1. Let w = k - 1. Let g be (-18)\/6 + (-46)\/(-16). Which is the second biggest value? (a) g (b) -3\/5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3854 - -3677. Does -2 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1440948 and 192.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -507a (base 12) to base 11\nAnswer: -6620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 342619 and 1007774?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*p - 152*p - 28*p - 19*p to the form q*p + w and give q.\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38 + 38 - 15*o - 1 + 1 + 2*o + (5 - 2 - 2)*(-4 + 4 - o) - 107*o - 345 + 345)*(3*o**4 + 3*o**4 - 3*o**4).\nAnswer: -363*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2244144119.\nAnswer: 7, 59, 5433763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -70178*j**6 + 22*j**3 - 6135643*j**2.\nAnswer: -8421360*j**3 + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 3*u - 1. Let x = -23 + 19. Let n be c(x). What is the units digit of 37\/((n - -2)\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/9)\/(2\/(-5 - 13)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -86 + -1 - (-9268 - -9101)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -5*c**2 + 2*c - 3. Calculate o(2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-117)\/26)\/((-2)\/60))\/(365\/146).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 4*f + 215, 2*f = 3*x + 4*f - 131. What is the remainder when x is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/16 and 73\/96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/1407837884 or -1?\nAnswer: 3\/1407837884","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, d: 2, b: 2, l: 5, r: 2}. What is prob of sequence dlrr?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.077 and -0.5?\nAnswer: 0.0385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of 2*i**6\/3 - 56*i**5\/5 - 86*i**4 - 656*i**3\/3 - 262*i**2 - 152*i + 1002. Factor f(g).\nAnswer: 4*(g - 19)*(g + 1)**3*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.1 - -1. Let i = y + 0.4. Let w = -115\/28 - -27\/7. Sort w, 0, i in increasing order.\nAnswer: w, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (2 + -4) - 11) + (91 - 83)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45\/4, 0.192, 0.1, -0.3 in increasing order.\nAnswer: -45\/4, -0.3, 0.1, 0.192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.2 + -2.1. Let l = 0.1 + 0.2. Let w = l - v. Put w, -0.3, 3 in ascending order.\nAnswer: -0.3, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(1 + 0\/2). Suppose p*f = -2*f. Let v = f + 7. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6229 - 6228.835. What is the fourth smallest value in 4, 0.2, -0.4, u, -1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*f**2 + 5*f + 88*f**2 - 3*f + 64*f**2.\nAnswer: 132*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -32569523*u - 24594240.\nAnswer: -32569523","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 5 + 5)*(-1 + 0 - 1) + 0 - 1 + 2 + 0 - 2 - 4)*(3*p + 8 - 8)*(-2*p**4 - 2*p**3 + 2*p**3).\nAnswer: 6*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.09 and -112939232269?\nAnswer: 112939232268.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 35, -5*i = -14*f + 13*f + 33 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 8 + (-39 - 7) + 12 + -16?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (4 - 8) + -2 - -4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86246923 is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29120 by -280.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/495 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-10) + 6\/(-15). Suppose 337*r - 538 = 151 + 996. Solve 2*t - r*t - 3 = v for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 95*y**2 + y. Suppose -17*k + 1 = -16*k. Let s(d) = d**2 - 3*d - 7. Calculate the remainder when p(k) is divided by s(-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*j + 24*j + 5*p - 65, -2*j + 15 = -p. Let c be (-7)\/(-35)*-4 - (-648)\/j. What is the highest common factor of 24 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.91 - 5.59. Let a = c - -6.1. What is the nearest to 3 in 0.09, a, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 take away 378?\nAnswer: -378.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -5*w**2 - 278755*w = 0.\nAnswer: -55751, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5583, 5821, 6059, 6297, 6535, 6773?\nAnswer: 7011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1165 + -1153?\nAnswer: -2351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j**2 + 100*j - 34. Let o be q(33). Which is the biggest value? (a) o (b) 2\/7 (c) -57 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1368888)\/(-60))\/(2\/5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - 0)*(-378)\/24. Let o = 97 + x. Suppose 0 = 2*i - 5*g - 44 - o, -4*i = 4*g - 100. What is the remainder when i is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 3*g + 6096. Give f(77).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**1*i**5*(i*i\/(i*i**(-2))*i)**(2\/11))\/((((i**(-1)\/i*i)\/i)\/i)\/(i**(-2\/5)*i)*(i*i**3*i)\/(i*i*i\/(i*i**(-1\/3))*i)) assuming i is positive.\nAnswer: i**(1594\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -4289*j**7\/42 + 47*j**4\/12 + 286*j + 1. What is the third derivative of n(v) wrt v?\nAnswer: -257340*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 5. Let o be -3 + (h - -2) + 4. Solve o = -3*j + 5*j - 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -3 + (-2)\/10 + 5545266\/305?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + 62433\/(-108) - 2\/8. Let h = q - -577. Which is the smallest value? (a) -0.17 (b) 5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 17, 8, -3, -16, -31?\n\"Answer: -i**2 - 6*i + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26739169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 417169.\nAnswer: 417169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -948569 divided by 1.\nAnswer: -948569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 9*s = 0. Let r be ((-3)\/2)\/3*-4. Suppose -5*z - n + 0*n - r = s, 4*n = 3*z - 8. Solve z = 5*d - 3*d + 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tjtt when four letters picked without replacement from {j: 7, t: 9}?\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**3 + r**3 - 2*r**3 + (-1 + 1 - 3*r**2)*(6*r - 2*r + 5*r) + 0*r - r**3 + 0*r + (0*r**2 + 3*r**2 - r**2)*(-4*r + 2 - 2) - 3*r + 3*r - 3*r**3.\nAnswer: -38*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 9185\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 132837478 a multiple of 859?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-167*s**2 + 21*s - 21*s)*(242 - 239 - 163 + 2*s) to the form d*s**3 + i + h*s**2 + y*s and give h.\nAnswer: 26720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 3*f - 2100 = 4*r, 0 = -4*f - 20. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o - 6. Let n be j(2). Let p be (8\/n)\/1 - 54\/(-12). What is the second smallest value in -12, 0, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5*z**2 + 2*z + 1. Let k be t(-1). Suppose k*n - 9 = 19. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.013 - 0.075. Let y = -63556.061934 + 63556. Let h = y - j. What is h rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 13) to base 8\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6314 and 462.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-69*b**4 + 17*b**4 - 30*b**4)*(5 - 3 - 4 + 0).\nAnswer: 164*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 2:02 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**3\/5 + 87*c**2\/5 + 494*c\/5 + 648\/5 = 0?\nAnswer: -81, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 186\/1919 or 0?\nAnswer: 186\/1919","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 70*j**2 + 26945*j - 1925. Give t(-385).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -2*m - 288, -4*c - 5*m = c + 355. Let g = c + 93. Suppose 4*h + 2*p - 11 - 31 = 0, 12 = h + 2*p. What is the greatest common factor of h and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/6*(90\/(-156))\/5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) -0.2 (b) -16134 (c) -2 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 246524*y. Let k(b) = b. Give k(u(i)).\nAnswer: 246524*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/8))**(-45) assuming a is positive.\nAnswer: a**(135\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 72 = -6*b, -15*s + 12*s - 52 = -5*b. Solve -2*z + 4*v = -164 + 180, 3*z - 4*v + b = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -14*t + 23. Let n be g(2). Let q be 21 - (n + 3)\/2. Which is smaller: q or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 1\/544?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1243622 or -1243645?\nAnswer: -1243645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -36858688, -147434758, -331728210, -589739044?\n\"Answer: -36858691*d**2 + 3*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*o**2*p*z**2 - 1021*o**2*p + 7*o*p*z**2 - 398*o*p*z - 2*o*p + 2*p*z - 2*z**2 wrt o.\nAnswer: -6*p*z**2 - 2042*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 200, 399, 598, 797, 996, 1195?\n\"Answer: 199*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 18*m - 96. Let z(t) = 4*t - 20. Let s(b) = 5*y(b) - 24*z(b). Let p(g) be the second derivative of 3*g**4\/4 + 16*g. Give s(p(r)).\nAnswer: -54*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a century?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**2 + 3*i**2 - 3*i**2 + (1 - 1 + i)*(1 + 2*i - 1) + 2*i**2 + 2 - 2 - 6*i**2 + 17009 - 17012 - 54*i**2.\nAnswer: -55*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 - -3c0?\nAnswer: 3c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10 - 1)*2 + -3. Let o = s + 40. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2254*q - 153140 = -239*q for q.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 + -4. Suppose 4*w + 2*u = 9*w - g, 0 = 5*u + 15. Solve 0 = -m + 6*m + 3*f - 22, -3*m + 2*f = w for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of 17*w**6\/720 - 86*w**4\/3 - 2*w - 288. Let h(x) be the third derivative of z(x). Let t(q) = -29*q**2. Determine h(t(d)).\nAnswer: -493*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 24*o. Let w(t) = 152*t + 4. What is -8*l(y) - w(y)?\nAnswer: 8*y**2 + 40*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*5*((sqrt(216)\/(sqrt(36)\/sqrt(3)) - sqrt(18))\/(5*sqrt(54)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of n**8\/56 + 319*n**7\/105 - 43*n**6\/12 - 107*n**5\/30 - 652*n**2 + 2. Determine p, given that c(p) = 0.\nAnswer: -107, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 98*v + 101*v - 366 = 0, -4*o + 4*v + 408 = 0. Solve 47*h - 280 = o for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -321*n**2*p**2 + 65*n**2*p + n**2 + 2*n*p**2 + 30887*n wrt p.\nAnswer: -642*n**2*p + 65*n**2 + 4*n*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 11:08 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 147.2 + 0.8. Let o = x - 62. Let h = 81 - o. Which is the closest to 1? (a) -0.3 (b) 6 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 816 = -4*n, -53*n + 55*n = 3*z - 1252. Calculate the least common multiple of 106 and z.\nAnswer: 22366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -1, 2\/13, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161 = i + 149. Suppose 20 = 32*z - i. Solve -3*n = -3*w - 15, 0 = 4*n - 5 + z for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -394*t**3 - 149. Let a(h) = 1970*h**3 + 752. Let f(s) = -3*a(s) - 16*d(s). Find the first derivative of f(o) wrt o.\nAnswer: 1182*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 3*n + 15. Let g = -16 + 17.9. Let h = g + 0.1. What is the smallest value in 1\/3, h, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from evvzukkvkueuuuuv. Give prob of sequence vu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/4 - 1812\/5880*5.\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -p**6\/120 - p**5\/15 + 5*p**4\/12 - 35*p**3\/6 + 22*p**2 - 1. List the prime factors of i(-11).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11515, -58, -11657, -23294, -34981, -46730, -58553, -70462?\nAnswer: -82469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and -0.0713.\nAnswer: -0.0713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -408, -2, 4, -4, 0, -1, -3 in decreasing order.\nAnswer: 4, 0, -1, -2, -3, -4, -408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-35))\/((-529)\/(-272435))?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 69*x**2 + 100*x - 741. List the prime factors of n(-60).\nAnswer: 3, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/42294 and -83\/68628.\nAnswer: 3637284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1476240*s**3 - 21*s**2 + 46*s + 41?\nAnswer: -8857440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2599947, 2599946, 2599945, 2599944, 2599943?\n\"Answer: -f + 2599948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9704?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 0. Let u be (z\/(-4) + 0)*-4. Suppose 0*q - q**u + q + 0*q = 0. Calculate q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence luuu when four letters picked without replacement from {u: 5, j: 1, t: 3, l: 3}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -7*p**2 + 3*p + 7. Let l(i) = 10*i**2 - 4*i - 10. Calculate -7*d(r) - 5*l(r).\nAnswer: -r**2 - r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 447 + y**3 - 447.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.05 - 3.05. Let m = -204 - -209. Which is the second biggest value? (a) -1 (b) m (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -3*u + 51 - 41, 0 = -x - 5*u - 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(-4))\/f)**(-11\/5)\/(f**4\/(f*f\/(f**(5\/2)*f)*f)))**(-46) assuming f is positive.\nAnswer: f**(3059\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -4) + -9 - (-11 + 4) - 13.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 6. Let d = 1 - -1. Suppose 0 = 2*a + 4*f - 23 + b, -2*a - d*f + 14 = 0. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -10. Suppose 2*k + 2 = g*k. Let f(n) = -82 - 12*n + 42 + 41. What is f(k)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - v = 260. What are the prime factors of v?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 3*r**2 - 5*r + 7. Let l be y(4). Let p be 0\/(0 - (4 - l)). Suppose p*d - 422 = -2*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, p: 1}. What is prob of sequence kpk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76 and 722?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 210 minutes after 4:48 PM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 19*z**2 + 19*z - 13. Let d be r(18). Let s = 6 + -4. Solve 4*o**2 + 3*o**2 + d*o**s - 5*o**3 + o**3 = 0 for o.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 15*b + 2119 = -8*b. What is the remainder when 3583 is divided by b?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100011001 - 111?\nAnswer: 1100010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -41200?\nAnswer: -41143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 + -35. Which is bigger: p or -7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 3:40 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -623531.279?\nAnswer: 623536.279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 127*b**5 - 248*b**2 wrt b?\nAnswer: 7620*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/2)*n**(-2\/7)*n)**(-1\/17)*(n**3\/(n*n\/n**6))**47 assuming n is positive.\nAnswer: n**(78271\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(-31)*t**1\/t assuming t is positive.\nAnswer: t**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -42897.9343 to the nearest one hundred.\nAnswer: -42900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d - 2*d - 6*d)*(1 + 3 - 7)*(3*d**2 + d**2 - 2*d**2).\nAnswer: 78*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 9:35 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(245) + 3 + (sqrt(405) - (sqrt(405) + -3*sqrt(405) + sqrt(405)))**2.\nAnswer: 7*sqrt(5) + 1623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -348425 and 6.\nAnswer: -2090550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 29 = 79. Suppose 0 = -4*o + 2*f - 118, -4*o + 2*f - 112 = 6*f. Let x = 35 + o. What is the smallest common multiple of z and x?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 688062.9 nanometers to centimeters.\nAnswer: 0.06880629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91837?\nAnswer: 91837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71 - 882*h**3 + 2603*h**3 - 847*h**3 - 876*h**3 + 8 + 6.\nAnswer: -2*h**3 + 85","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Convert 78b74 (base 15) to base 9.\nAnswer: 644621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -66725, -257559, -575615, -1020893, -1593393, -2293115?\n\"Answer: -63611*a**2 - a - 3113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114, -169, -224, -279, -334?\nAnswer: -389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11806 + 8957 = 9*j. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1646303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 287 - 0.3.\nAnswer: 286.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*1094.\nAnswer: -2188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 0 + 3)*(0*v - v + 3*v) + v - v - 2*v)*(-79 - 371 + 63).\nAnswer: 2322*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 141650447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, c: 1, j: 1, w: 1, r: 1}. Give prob of picking 1 c and 1 j.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 n when three letters picked without replacement from {v: 9, s: 4, n: 1}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -310\nAnswer: -1\/310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00107 to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 410412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38689518?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19610015 is divided by 185000?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26? (a) -1 (b) 1100 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 48cc2 (base 13) in base 4?\nAnswer: 200231312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -5*i + 2*i + 12, 0 = 5*i - 5*x - 30. Solve 2*o = i*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/8*(-30)\/(-150))\/((-6)\/(-396)*39)?\nAnswer: 22\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 n when two letters picked without replacement from {y: 3, n: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*w**2 + 3 + 6*w + 5 + 18*w**2 - 30*w**2 + w.\nAnswer: -(w - 8)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, t: 2, o: 2, c: 2, p: 6}. What is prob of sequence oppc?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -794, -5, 0.4, -14\/297?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 302296801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/(-10)*(10\/20)\/((-4)\/(-40))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -z**5\/60 + z**3\/6 + z**2\/3 + 5*z + 7. Let l(n) be the first derivative of r(n). Let l(v) = 0. Calculate v.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 43134102 - -322?\nAnswer: 43134424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**3 - 7 + 22*b**3 + 2 wrt b.\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z + 15. Let f be b(0). Let m = 1133 + -1013. What is the highest common divisor of m and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9611782*l**2 + 3351262*l**2 - 2541226*l**2.\nAnswer: -8801746*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + p = 3*g - 16, g + 3*p - 8 = 0. Suppose -g = -5*a + 2. Suppose 5*j - a*j + f = 26, -5*j - 4*f = -41. What is the remainder when 24 is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -20, -2*b + j + j + 20 = 0. Suppose -20 = -5*x, -b*t + 0*x - 60 = -5*x. Is t less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -83.9 - 0.2. Let l = -79.29 - n. Let u = -0.19 - l. What is the second biggest value in u, -2\/19, 0.1?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 at least 58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zt when two letters picked without replacement from upfgzztt?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 12 - 7 - 6 + o. Let q(k) = -8*k + 8. Calculate -6*h(c) - q(c).\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*i**4 + 3*i**4 - i**4 - 10 + 11*i**4 wrt i.\nAnswer: 40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert adbab7 (base 14) to base 13.\nAnswer: 12bc01a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/25 and -111\/65650?\nAnswer: 65650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wddf when four letters picked without replacement from ffdavwfdf.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 8:07 PM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13\/41? (a) 487 (b) 67 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3446018855?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**3 - 5*m**2 - 5*m - 3. Let j be d(-3). List the prime factors of (j\/4)\/(-1 + 132\/128).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 10 = 0, 144*v = 2*t + 145*v - 446. Is t at least 228?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 395*w = 397*w + 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(17) + -4 - (0 + sqrt(2448)) - (3 + 0 + sqrt(17) + sqrt(68)*1).\nAnswer: -13*sqrt(17) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -4*p**3 + 84*p**2 - 3*p + 63. Let h be u(21). Is h bigger than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence foo when three letters picked without replacement from {f: 3, o: 17}.\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000030327865 rounded to seven decimal places?\nAnswer: -0.0000303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -1995*g**3 - 98*g - 35. Let v(b) = -1330*b**3 - 67*b - 23. Let j(z) = 5*p(z) - 7*v(z). Find the second derivative of j(f) wrt f.\nAnswer: -3990*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 2 - (-3 - 27 - -30)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220 = -x + t, t = -3*x + 6*t + 670. List the prime factors of x.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -470 + 13628\/29. What is the second biggest value in 2\/9, 1, h, -0.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7\/43 + 57\/86. Which is the biggest value? (a) -3 (b) -1\/3 (c) -2\/9 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3798419.44 to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-75)\/(-6)*(-4)\/5. Let a = -8 - z. Solve u = -5*q - 9, 0 = 3*q + a*u + u + 15 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n - 1. Let w(z) = 7*z**2 - 7*z + 5. Calculate -5*f(j) - w(j).\nAnswer: -7*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28447635 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 4*j + 98796, 3*j = -5*b + 10*b - 98802. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**4\/3 - 41*t**3\/3 + 443*t**2 - 9031*t\/3 + 7744\/3 = 0. What is t?\nAnswer: -64, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -83 + 138. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/147 and 13\/1734390.\nAnswer: 12140730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -3*r + 5*m, 2*r + 4*m - 294 = -274 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5 = m, -2*m - 8*i + 7*i = -8. Solve -n = -4*r + 5, -m*r + 5*r - 4*n - 6 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 - n**2 + 2*n**2)*(68 - 36*n**3 - 68 - n).\nAnswer: -72*n**5 - 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -8131 divided by -47\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.614 - -0.174. Let s = -0.43595 - h. Round s to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.022 + -0.0193. Round b to 4 dps.\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13197 and 265.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 91 = 12*v. Solve -3*a + 1 - v = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 724288?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25.9 + -25.85942. What is m rounded to three decimal places?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 8*f**2 + 442*f - 3143. Give o(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**(-2\/7)*(w\/w**(-15))\/w)**(-1\/20)\/((w\/w**(-1\/4))\/(w*w**9*w*w))**44 assuming w is positive.\nAnswer: w**(66099\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) -74 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 504281 to the power of 1\/2, to the nearest integer?\nAnswer: 710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -21. Let i = b + -8. Suppose w - 6*w + 40 = i. Solve 25 = 3*s - w*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6249047 to the power of 1\/2, to the nearest integer?\nAnswer: 2500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 165 and 43065?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -103, -401, -1133, -2515, -4763?\n\"Answer: -36*n**3 - n**2 - 43*n - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w - 4*s - 175439 = -13*w, -s = 4*w - 140326. Is 35084 at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) + (sqrt(468) - (sqrt(468) - sqrt(468)*-1)))*-5 + (sqrt(468) + -6*2*sqrt(468) + sqrt(468))**2 + -2.\nAnswer: 46798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1876.7 - -1876.6. Let m = 67\/3 - 22. What is the closest to q in m, -0.2, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/2)\/(k*k\/k**5))**(9\/10)\/((k*(k**1*k)\/k*(k\/k**4)\/k)\/(k**(-3\/4)\/((k**(1\/4)*k*k)\/k))) assuming k is positive.\nAnswer: k**(27\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b7 + 1?\nAnswer: -b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 164 - 434. Let p be (1082\/4)\/(-144 - -142). Let n = s - p. Which is greater: n or -0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 98, 99, 102, 107, 114, 123, 134?\n\"Answer: l**2 - 2*l + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 60 = -5*l, -2*l = -4*h + 2*l + 88. Calculate the remainder when 101 is divided by h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 1238, -0.1, -372, 2?\nAnswer: -372","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1469 and 1243?\nAnswer: 16159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a**2 - 105*a + 105. Let j be t(34). Let v(d) = 120*d - 1. Let y be v(4). Suppose 5*o + 3*g - y = 0, -g - 390 = -o - j*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7938.903um to nanometers.\nAnswer: 7938903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114156 = -3086*g + 12318 for g.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 162415 and 103355?\nAnswer: 1136905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*(b*(b\/b**(-4)*b)\/b*b)\/b)\/b**(-3)*b**2*b*b*b*((b*(b*(b*b**(1\/4))\/b)\/b)\/b)\/b*b*b)**(-2\/85) assuming b is positive.\nAnswer: b**(-69\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -91*h + 3080. What is z(34)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 6*r**2 - 4*r - 5. What are the prime factors of y(-6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -9*d. Let u(x) be the third derivative of 109*x**4\/8 + 259*x**2 + 2*x. What is c(u(r))?\nAnswer: -2943*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three fifths of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -149 + 313. Let h = -169 + y. Let c = 849\/7 + -121. What is the closest to 1 in c, h, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 30411741*r**3 - 19179104?\nAnswer: 91235223*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2357*u**2 + 560*u**2 - 535*u**2 + 1012*u**2.\nAnswer: 3394*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41353.\nAnswer: 13, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 10 = 5*l, 15 = 4*b + 3*l - 6*l. Suppose 8*u = b*u + 30. Let j be (1\/9)\/(3\/u). Sort 1\/4, j, 0.01 in decreasing order.\nAnswer: 1\/4, j, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223982267831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-8*6))\/((-2)\/184)*(-223)\/446\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -98.3 - -275.2. Let q = -184.783 + -0.217. Let c = q + x. Round c to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*c + 16, -c + y = -0 - 3. Let f(j) = -j**2 + 10*j + 6. Let h be f(9). Let o = h - c. Calculate the smallest common multiple of 16 and o.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/8)\/((-2)\/20). Suppose 810 = -5*h + c*l, -5*h + 3*l - 448 = 352. Let p = -60 - h. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -19*j**2. Suppose -d + 98 = -0*d - 2*i, -4*i + 228 = 2*d. Let f(x) = 104*x**2 + d*x**2 - 204*x**2. What is g(f(z))?\nAnswer: -684*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 = 29*f - 32*f - 24*l, 4*f + 4 = -3*l for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, 16, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*i**2*r**3 + 72*i**2*r**2 + 5*i*r**3 + i - 206 wrt i.\nAnswer: 14*r**3 + 144*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from yvddfvwf.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12469.\nAnswer: 37, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1847958 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 149.749 rounded to 0 decimal places?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 3 = -3*w, -5*w + z = -0*z + 21 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 293 + -293. Solve 2*s - 2*v = -p*s, 4*s - 2*v = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -3.3. Let o = -25 - -127\/5. Put z, -0.3, o in increasing order.\nAnswer: -0.3, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and -115.4145499.\nAnswer: -112.4145499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -787605 - -1547602. Let a be r\/(-5) - (-3)\/(-5). What is a rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 - (43 - 3) - (-2 - (-2 + 1))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 0. Let m = 50 + -33. Find the third derivative of 9*i**2 - m*i**f - 2*i**4 - 7*i**4 wrt i.\nAnswer: -216*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of l**6\/6 - 9*l**2 - 3*l. Differentiate m(w) wrt w.\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38703?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -20886450.4.\nAnswer: -6265935.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9423158 grams in nanograms?\nAnswer: 942315800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7369?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s + 565. Calculate h(-22).\nAnswer: 631","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20 + 0\/3 + -5. Suppose -3690 = -h*n - 0*n. Is n a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 + 2 + (-2 - -3) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*m + 4 = 0, -2*m = 3*j - 6*m. Let w = j + -7. Let u = -9 - -9. Sort -3\/8, u, w.\nAnswer: w, -3\/8, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g - 4*g + g)*(6 - 6 - 9*g**2) + 3*g**2 + 5*g - 188*g**3 - 1 - 181*g**3 + 382*g**3 to w*g**3 + f*g + n*g**2 + x and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3 + 288*s**2 + 585*s + 294.\nAnswer: -3*(s - 98)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t + 3*m + 24, -5*t + 0*t = 4*m - 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 10*g - 25 = 0, 3*g + 13 + 2 = 0. Solve -2*h + 7*h = -j, -4*h - 16 = m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 527*r - 4138781 - 1029508. List the prime factors of r.\nAnswer: 3, 7, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -206 + 5?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(-8846 + 3775 - 20258)*(-z**3 + z**3 - 2*z**3).\nAnswer: -101316*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 4:32 AM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 8. Let x be 2\/(-9) - l\/(-36). Suppose x = 5*v - u - 4*u - 505, v - 93 = -3*u. What is the remainder when v is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 9*j**2 + 15*j - 24. Calculate f(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m**3 - 19*m**2 + 6*m - 44. Let a(o) = 8*o**3 + 56*o**2 - 19*o + 131. Let s(p) = 4*a(p) + 11*b(p). What is the units digit of s(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/5 and 1\/1588540?\nAnswer: 1588540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/9)\/(u\/(u**(-6\/11)*u)) assuming u is positive.\nAnswer: u**(-65\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -727471604*b**2 + 363735798*b**2 + 363735808*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) + sqrt(187)*-2)*5)\/sqrt(11) + -4 - ((-2 + sqrt(153) + 3 + sqrt(153))*-3)**2.\nAnswer: -5521 - 113*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*m**5 + 4*m**4 - 2*m**2 + 10885*m + 2.\nAnswer: -140*m**3 + 48*m**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 78 = 6. Suppose -3*p + i = 0, 3*j - j - 5*p = -40. Is (-2 - j)*3*(-19)\/(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -107.7 - -108. What is the closest to i in 0.07, -2, 4?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 1 = 3*b + 19, 0 = h - 4*b - 5. Solve o = 4, -2*p + 4*p = -h*o + 18 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1723217?\nAnswer: 277, 6221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 3*k**2 - 4*k + 1. Let j be n(4). Let d = 2 + j. Suppose -d*q + 20 = 2*q. Solve 0 = 5*b + q*g + 24, 3 = -g + 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h**4*m**2 - 1794832*h**4 + 2*h**2*m**2 + 448*h*m**2 - 2107 wrt h.\nAnswer: -24*h*m**2 - 43075968*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 8*o - 1. Calculate s(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7664 divided by 204?\nAnswer: -1916\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 - -0.2. Let i = -13.6 + 2.6. Let x = i - -10. Which is the closest to x? (a) 0.4 (b) s (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*((-1)\/4)\/((-6)\/24)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-2 + 6 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10331 - 122?\nAnswer: -11003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 138564, -3\/23, -14 in increasing order.\nAnswer: -14, -3\/23, 138564","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2820 is divided by 113?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6881 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 451 (base 16) in base 12?\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of 5*j**3\/3 - 195*j**2 + 7605*j + 64. Find u such that h(u) = 0.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-5*(sqrt(1568) - (1 + sqrt(1568)))**2 + -1.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 79299 (b) -7 (c) -29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 14773?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 9300*s - 9299*s - 1 = 0, 3*k = 4*s + 24 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -3.\nAnswer: -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k. Let i(f) be the second derivative of -f**3\/6 - f. Calculate d(i(v)).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*d - 7174792 = 5294693 - 1401980. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/8320 and 43\/560.\nAnswer: 58240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from xxmmmx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3818 in -5, 3\/4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 367*o**3\/3 + o**2\/2 + 102*o + 298. Find the second derivative of u(z) wrt z.\nAnswer: 734","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2257*a**2 - 4534*a**2 + 2*a**3 + 2275*a**2.\nAnswer: 2*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17820 and 135?\nAnswer: 17820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 1.8, 2\/13, -1, -0.5, -0.4 in descending order.\nAnswer: 7, 1.8, 2\/13, -0.4, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19639.\nAnswer: 41, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4 - 3. Suppose -w*t = 3*q - 12*t + 19349980, 3*q + t + 19350004 = 0. What is q rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -24 and 10369566211586?\nAnswer: 10369566211610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 0*t**2 - t + t**3 + 12 - 7*t**2 - 2*t**2. Let q(m) = m**2 + 10*m - 2. Let r be q(-11). Let l be s(r). What is the nearest to -2\/5 in -2\/5, -3, l?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14237493 or 14237490?\nAnswer: 14237490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/a**(1\/7)))\/a)**(-2\/63) assuming a is positive.\nAnswer: a**(4\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.9 - 1.2. What is the second smallest value in 1, p, -0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4673983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 245783.96 times -0.4?\nAnswer: -98313.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/((-160)\/(-25))*(96\/18)\/(-4).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 8, k: 1, u: 4}. What is prob of picking 2 m?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/29727 and -32\/73033?\nAnswer: 5915673","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1712783 - 3425542 + 14*h - 3*h**2 + 1712759.\nAnswer: -3*h**2 + 14*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7*(-4)\/14*-18. Suppose c + 4*t = -l, 6 = 5*t - 4. Let d(b) = -297*b. Let q(r) = 33*r. Let a(y) = c*q(y) - 5*d(y). Let u(i) = -i. Calculate u(a(j)).\nAnswer: -33*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does -4.4 = -2264.843?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 14 + 4*r + 2*r**2 + 2*r**2 + 8 - 20. Let w be p(-1). Solve 0 = -w*l + 3*j + 4 - 5, -3*j = 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6005, -24005, -54005, -96005, -150005, -216005, -294005?\nAnswer: -384005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*s = -21*s + 308. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 3*a**2 - 3*a + 20. Let z(d) = d**3 - 2*d**2 + 2*d - 21. Let n(r) = 4*x(r) + 5*z(r). Let y be n(0). Which is greater: 0.1 or y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 * -1061750\nAnswer: -7432250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 - -2.2. Let t = -600\/13 - -46. What is the nearest to 2\/3 in -0.3, t, b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1\/4, -1914, -7, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399468 is divided by 30728?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmwwwm. Give prob of sequence wmmm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -232? (a) 5 (b) -2\/7 (c) -4 (d) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 a factor of 20047028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3386.65142 - 3382.09. Let c = -0.56277 + o. Let i = -4 + c. What is i rounded to four decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -33, -1, -8.\nAnswer: -33, -8, -5, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 679?\nAnswer: 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15341 and 7843.\nAnswer: 5231281","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l - 7. Let d be j(5). Let n(t) be the second derivative of t**3\/3 - 6*t**2 - 25*t. What is the units digit of n(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h**2 - 3*h**2 - 2*h**2 - h**2 + (5*h - 42*h - 57*h)*(4*h - 2*h - 3*h) as m + l*h**2 + o*h and give l.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 217, -0.5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 4384.645ms?\nAnswer: 4384645000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of 0*a**2 + 0*a**3 + 1\/360*a**6 + 0 + 1\/24*a**5 + 1\/4*a**4 - 2*a. Let p(c) be the third derivative of j(c). Calculate p(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 9. Let m(w) = w - 8. Let c(b) = -2*a(b) - 3*m(b). Let u(d) = -8*d + 17. Let g be 1\/(-2) + (-27)\/(-6). Give g*u(o) - 11*c(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(22)*-2 + sqrt(22))*-6)\/((sqrt(32) + sqrt(2))*-5))**2 - 5*(-1 + sqrt(275) + 3).\nAnswer: -25*sqrt(11) - 5854\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5054 is divided by 1672.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 + 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-325)\/130)\/((-10)\/(-456))*5\/10?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -31, 2\/3, 2\/25 in increasing order.\nAnswer: -31, 2\/25, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 31*z**3 + 21*z**2 - 3*z. Let b(g) = -62*g**3 - 50*g**2 + 7*g - 2. Determine 3*b(n) + 7*o(n).\nAnswer: 31*n**3 - 3*n**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2. Let y(r) = -14*r**2 + 56. Let t(i) = 2*i + 19. Let v be t(-10). Let m(a) = -1. Let d(s) = v*y(s) - 56*m(s). Determine d(z(n)).\nAnswer: 56*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -200\/303 - 2\/303. Let a = -39\/7 - -131\/21. What is the second biggest value in 2, a, f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 444277459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*w = 45869 - 44469 for w.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**2 - 8*u + 10. Let x be n(7). Let i be (-16)\/3*(-117)\/x. Solve 3*l = -2*f + 15, -f - f = 2*l - i for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4561310532 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.42 (b) 201 (c) 5\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of u**5\/20 - u**4\/4 - u**3\/2 + 2*u**2 - u. Suppose -10*c - 3*c - 26 + 78 = 0. Give v(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + j + j + (2 - 8 + 0)*(-2*j + 0*j + 3*j))*(-1 + 1 + 7*j**3).\nAnswer: -35*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -12 + 21 - 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 3 + -5 - 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 5*u = 25, 4*u + 4 = d + d. Let m be (-2 + 2)\/(0 - -2). Suppose i + i - d = m. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.135 + -0.175. Which is the closest to 2? (a) 1 (b) z (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5815, 0, 118 in descending order.\nAnswer: 118, 0, -5815","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -19*u + 72. Let m be o(-8). Let q = m + -218. Solve 2*v - q*v = 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 5*k + 8. Let u = 19 - 25. Let i be u\/(-4)*16\/(-6). Let l be g(i). Sort l, 6, -1.\nAnswer: -1, l, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 159067?\nAnswer: -159062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 876815 is divided by 175346.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 + o + 4. Suppose 3*p - 15 = -3*i, -i - i - 25 = -5*p. Let n be r(i). Does 9 divide (13 - (n - 0))*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 - 22.1. Let t = 0.5 - i. Let r = -17\/2 - -8. What is the second biggest value in r, 1\/9, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 1731 = 21*l - 1627, 0 = -5*l - 4*q for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*p + 7 = 55*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 29. Suppose -d + o = 3*x, 4*x + 2*d - 27 + 1 = 0. List the prime factors of 3\/(x\/(-1640)*-6).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w**4\/6 + 3*w**3\/2 + 2*w**2 - 2*w\/3 = 0. Calculate w.\nAnswer: -1, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 a factor of 831712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -100, -275, -530, -871, -1304?\nAnswer: -1835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 4953934.711489\nAnswer: -4953937.711489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 313 + 96 - 1005373*c**3 - 4097*c**2 + 1005375*c**3 wrt c.\nAnswer: 6*c**2 - 8194*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3884)\/(-18) + 8\/36. Let v(z) = z**2 - z - 123. Let a be v(0). Let w = a + k. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-7) + 7*3 + (-85)\/17?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.17 + -0.1694. Round b to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 + 7 + 1)*-1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6250.367138 rounded to 0 dps?\nAnswer: -6250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 5 (b) 0.3 (c) 0.4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-30) + (-7)\/(-35).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*2*sqrt(8) + sqrt(8))**2 - (sqrt(4) - sqrt(16)\/(sqrt(16)\/sqrt(4)))\/sqrt(2))*1.\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 4*z + 34, -3*b - 662 = -z - 684 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -9223*l + 101434. Determine t(11).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + 28 + -36 + -36?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*b**2 + 12*b**2 + 12*b**2.\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3020359967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(-15)*3\/2. Let g = -21.6 - -22. What is the smallest value in g, s, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, 120, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*q = -46*q + 66*q + 980 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, g: 2, j: 1, a: 4, o: 6}. What is prob of sequence og?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppkpppppppppkppppppp. Give prob of picking 2 k.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 1246.\nAnswer: -1246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/22493510 and -37\/5536864.\nAnswer: 359896160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63754 is divided by 21251.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**3 + 56*v**2 - 5*v - 21. Let b be t(-28). Let g = 25 + b. Is 146 less than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 96604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*1*50\/8*25\/((-500)\/(-32)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 113 - 107. Solve i*f - 2*f = 4, -2*r + 4 = 4*f for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1609677?\nAnswer: 3, 178853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2484388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.649 and 1.7353.\nAnswer: 4.3843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3 - 3052*h**2 + 8*h + 12208.\nAnswer: -2*(h - 2)*(h + 2)*(h + 1526)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h - 4*p, -h + 4*p + 44 = 28 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 0 - 1 = 0. Let o be (-36)\/(-8) - 8\/(-48)*-3. What is the greatest common divisor of o and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 7:47 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47319 + 46340 = 11*y for y.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.12 and -3.1078.\nAnswer: 0.372936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/3 + 20*w**2\/3 - 19*w - 126.\nAnswer: -(w - 14)*(w - 9)*(w + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Is 402091 a multiple of 733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -327\/5 (b) -0.17 (c) -5 (d) 0.04 (e) 5 (f) 0.1 (g) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.741748 milliseconds in nanoseconds?\nAnswer: 741748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**4\/7 - 931166*y**3\/7 + 4655848*y**2\/7 - 6518194*y\/7 + 2793513\/7 = 0?\nAnswer: -931171, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-27)\/(-132)) - (-41)\/(-369)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48185899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -5*a + 1. Let g be p(-7). Suppose 8*o - 4*o - g = 0. Find the second derivative of 3*y + y**2 - 13*y**3 - y**2 + o*y**3 wrt y.\nAnswer: -24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 971 = 2*r + 5*z - 6*z, -r + 3*z + 498 = 0. Is r a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 10*x**2 - 8*x - 12. Calculate p(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16598 divided by -386?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) + sqrt(50) + 3 + -3 + sqrt(150)\/(sqrt(3) + sqrt(48)) + -5 + 4)**2 + 3.\nAnswer: -22*sqrt(2) + 246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1998945653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -5*x - 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26913 is divided by 589?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -110122212202 (base 3) to base 8\nAnswer: -746616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 1. Let w = v + 5. Let f = -12.66 + w. What is f rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**2 - 67*q - 266. Determine o(37).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 219 divided by 83613.\nAnswer: 73\/27871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -4*p + 33. Let r(b) be the third derivative of b**5\/60 - 348*b**2. Calculate r(d(x)).\nAnswer: 16*x**2 - 264*x + 1089","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + 0*1\/(-1). Let b(f) = f**3 - 26*f**2 - 53*f - 82. Let s be b(28). Sort o, -3, 8, s in decreasing order.\nAnswer: 8, s, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1867070*v**4 + 4*v**2 - 1287763.\nAnswer: 44809680*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k + 10. Let n be m(9). Suppose -5 - n = -2*r, 2*r + 9 = 3*j. Let l be -1 + (13 - (4 + -2)). What is the highest common factor of l and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g**2 + 6*g**2 - 5*g**3 + 3*g**2 + 4*g**3 - 9*g in the form i*g**3 + m*g**2 + x + p*g and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*c**3 + 1451*c**2 - 71*c - 63 wrt c?\nAnswer: 54*c + 2902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 4*i + 4*i)*((-3 - 1 + 3)*(0 - 4 + 5) - 3 + 0 + 0).\nAnswer: -40*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.205 + -2.205. What is the nearest to v in 4, 3, 3\/2, 6?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*x + 16 + 11 - 58 + 12 + 213*x**2 + 15 wrt x?\nAnswer: 426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -110 - -110.13. Let b = 9.23 - d. Let j = -9.10000086 + b. What is j rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3990\/9*(-68)\/(-110). Let z be (-6 - (1 + -3))*685\/(-10). Let j = q - z. Which is the closest to -1? (a) 1\/3 (b) j (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 384 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12109.\nAnswer: 12109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5908951 + -5908953.549857. Let k = b + 2.55. Round k to 5 decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 36*m**2 + 862*m - 26933. Give s(41).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eoeoe. What is prob of picking 2 e and 2 o?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-12)*(6\/(-12))\/((-105)\/70)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 306 = -8*w + 2*w. Let x = w - -42. Let a be (x\/2)\/(-13 - -10). Put -4, 5, a in descending order.\nAnswer: 5, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 118 = 3*u. Let y = 10796.8 - 10797. Is y less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a millennium in decades?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8819 bigger than -20214?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -478*x + 2863. Determine a(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 6:30 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1075 - 560. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -3*b - 28, 4*b + b = -5*x + 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 21 = 2*y, -4*y - 7 = 2*t - 25. Let j(b) = -71*b + 1 + 64*b + t - 3. Let n(r) = r**2 - 6*r + 6. Let w be n(5). Determine j(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.514342 rounded to two decimal places?\nAnswer: -2.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 - -4 - (-2 + (-74)\/2). Suppose 7*m + 4*m = 16*m. Let s(w) = w**3 + 3*w**2 + 3*w + 38. Let p be s(m). Is p smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(833) + -1)*-3 + sqrt(833))**2 - ((sqrt(833) - (sqrt(833) + 2))**2 + -5).\nAnswer: -84*sqrt(17) + 3342","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 100 + -57. Let s = j - 60. Let k = -16 - s. Which is bigger: 10 or k?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((6*(5 + -1*sqrt(612)) + -5*(sqrt(612) + sqrt(612) + -2 + sqrt(612) + sqrt(612) + 0))*-3)**2.\nAnswer: -11213424 + 336960*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 142849451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 3:45 AM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -9*d**3 - 56*d**2 - 188*d - 3. Let v be q(-3). What is the greatest common divisor of 1170 and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 19. Let k be (8\/4)\/(c\/(-106)). Let x = k + -38. Does 3 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3179.19 and 2.2.\nAnswer: 6994.218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2446\/22 - (-4)\/(-22). What is the common denominator of 121\/18 and x\/(-21)*(-3)\/(-2)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -132975, -265961, -398947, -531933?\nAnswer: -664919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3060890 is divided by 357?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d + 2*d - 2 - 3*d)*(120*d**2 - 272 - 64*d**2 - 58*d**2 - 14*d) to the form j*d**2 + q*d**3 + u*d + x and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-53)\/((800\/(-32) - -26)*(3 - 0)\/(-3))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-2)*(-26)\/39.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1418*(-1)\/4*2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c**3 - 19*c**2 + 3. Let b(m) = -5*m**3 + 20*m**2 - 4. Determine 5*b(g) + 6*q(g).\nAnswer: -g**3 - 14*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-154*k - 157*k + 288*k)*(5*k**2 + 2*k**2 - 4*k**2).\nAnswer: -69*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -885332 at most as big as -885330?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 g, and 1 u when three letters picked without replacement from uuxbugxgu.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*p**2 + 56*p**2 + 6 - 105*p**2.\nAnswer: -p**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/67 - -75\/268. Which is smaller: -2 or b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -136.0147396 - -6.0144926. Let d = 130 + k. What is d rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*z + 12*z - 41 + 10*z + 49*z.\nAnswer: 100*z - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(374)\/(sqrt(539)*1 + sqrt(539) + sqrt(11)))\/((sqrt(2) - 2*sqrt(2)*-5) + 4*sqrt(32)))**2.\nAnswer: 68\/18225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 2505066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 350.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/9)\/(4\/6). Let z(u) = 12*u**2 + 2*u - 1. Let l(x) = -37*x**2 - 7*x + 3. Let i(w) = q*l(w) + 7*z(w). Give i(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/10)\/((-4)\/(-10)). Suppose -10 = -3*k + o, k + 5*o - 32 + l = 0. Suppose 0*c - c = -k*q + 6, 0 = -3*c + 5*q + 22. Is c a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 8*v - 16*v - 109 = 0, 4*m + 3*v + 59 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 249\/9 - 2\/(-6). Suppose 5 = 2*y - 3*o - 11, 4*y - 5*o = f. Suppose -y*j - 10 = -2, 4*t - 168 = 2*j. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-196)\/(-18) - 7\/(441\/14). Determine z, given that -16\/3*z - y - 2\/3*z**2 = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-3\/5)*p**(2\/11)*p*(p*p\/p**(-6))\/((p\/p**(-2\/9))\/p))\/(p**(2\/5)\/p**(-2)*p**(-4)*p*p\/(p*p\/(p\/p**(-7)))) assuming p is positive.\nAnswer: p**(293\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 17 = -4*b + b, 12 = -4*b. Let k be ((-1 + m)\/1)\/(-1). Find the second derivative of -5*w + 15*w**5 + 14*w**k + 24*w wrt w.\nAnswer: 580*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, o: 2, b: 2, l: 2, y: 1}. Give prob of sequence by.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 3*b + 18 = 0. Calculate the remainder when 1 + 1 + b\/3 is divided by (-1*3)\/(-1) - 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 19*u + 44. Suppose -5*h + 5*q = 2 - 67, h - 4*q = -2. Let s be y(h). Let n be (-27 + 37)*s\/4. Round n to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 19*c - 36 = 16*c, 2*v + 4*c = 34. Solve -15 = v*r, 2*r = 3*k + 12 - 16 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -16. Suppose -44 = -4*k - l*i - 154, 5*k + i = -148. Is 10 a factor of (-336)\/k - (-1)\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 954 a factor of 1077004816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.841 - -2.741. Let w(o) = -o - 12. Let y be w(0). What is the second biggest value in y, -4, -2\/13, s?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 4:09 PM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 1 - 122268\/28352.\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.3 or 2925?\nAnswer: 2925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154372 is divided by 95?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20979555 to the power of 1\/2, to the nearest integer?\nAnswer: 4580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -g + 714 - 5, -3*g = r - 2111. Is g a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 130 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2278235 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3142*t + 4733*t - 22793 + 76887 for t.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*t - 416*t + 1441 - 9862 = 0 for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**3 - 88*c**2 + 1936*c = 0.\nAnswer: 0, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 759284345 and 5.\nAnswer: 759284350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -25 (b) 1\/8 (c) -4 (d) 5 (e) -4\/3 (f) 2\/9 (g) -0.97\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 35, 42, 49, 56, 63, 70?\n\"Answer: 7*z + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 80*t**2 + 56*t + 2548. Calculate u(-81).\nAnswer: 4573","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + k + 268. Let r = 31 - k. Let w be r\/(-21) + 2\/7. Solve c = w - 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 45\/(-6) - -2 - -3. Let r = -5 + 4. Let j = -4 - 0. Which is the closest to 1? (a) p (b) j (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, b: 1, w: 1, n: 3, t: 4, k: 1}. What is prob of sequence kt?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12537 to the power of 1\/2, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 74*l**2 + 423*l + 2218. Calculate q(-79).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 12:18 PM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j - 36. Let z be u(12). Suppose z*i - 6 = -2*i. Suppose 3*g = -3*q + 9, 4*q - 19 = -0*g + i*g. What is the greatest common factor of q and 64?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggkgkggggrgkgrkrr. What is prob of sequence rk?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6002 is divided by 2848?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -5 (b) 4 (c) -0.011 (d) -0.3 (e) -2 (f) -23 (g) 5\/6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 200.8 + -258. Let i = d - -55.2. What is the nearest to i in 2\/5, 1, -0.38?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + 8*g - 5. Calculate t(-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x**2 + 49*x - 3 + 0 + 4*x**2 - 47*x. Let m be u(1). Let y(o) be the first derivative of o**2\/2 - 10*o + 40. Determine y(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bsb when three letters picked without replacement from bbsbnsss.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 103 = 5*d, -2*b + 43 = 2*d - 5*b. What is the highest common divisor of d and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 2*w**2 - 2*w)*(4*w - 4*w - 2*w + (-2*w - w + 2*w)*(-5 + 2 + 2) + 0*w + 4*w - 5*w + 0*w - 4*w + 3*w - 3*w + w + 3*w) - 30 + 30 + 11*w**3.\nAnswer: 15*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8413 = -12*t - 36*t - 19*t - 13639 for t.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.17*170\nAnswer: 28.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 12:17 PM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 v, and 2 o when four letters picked without replacement from {v: 1, o: 3, i: 5, w: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2533 + -2377.9. Let u = b - 163. Let j = u - -9.054. What is j rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4*r + 1142 = -0*r, 0 = 2*h + r - 753. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 99 and 279.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 384215 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6984 = 3*s - 5*s. Find the common denominator of 2\/12*s\/204 and 55\/6.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88*-345.964.\nAnswer: 30444.832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 3*d + 5*d)*(5 - 3 + 3) - 2*d + 4*d - 5*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*w**3 + 21*w**3 - 7*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -738*w + 738*w + 60*w**3 + 5*w**3 - 30*w**3 + 5*w**3.\nAnswer: 40*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2797.47 rounded to the nearest 10?\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 0*q + 6 = 0. Let l = 366.3 + -368.3. Which is the closest to -3\/5? (a) 4\/3 (b) l (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 8*y + 44495. Suppose -y - 19391101 = -h. What is h rounded to the nearest 1000000?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2133, 2147, 2179, 2235, 2321, 2443, 2607, 2819?\n\"Answer: n**3 + 3*n**2 - 2*n + 2131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -24. Let l(p) = 5*p - 2. Let q(c) = -36*c + 15. Calculate j*l(k) - 2*q(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -3*s**3 + 111*s**2 - 528*s - 10164 = 0.\nAnswer: -7, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*2 + sqrt(11))*5*-2.\nAnswer: -30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3220*h**2 - 3250*h**2 + 8*h - 5*h.\nAnswer: -30*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, g: 2, m: 3, z: 1, e: 1}. What is prob of sequence ez?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209167 is divided by 3946?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 96325934 less than -292652?\nAnswer: -96618586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10091 at least 10086?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 895, -72, -55 in decreasing order.\nAnswer: 895, -55, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 19*x + 54. Let a be u(4). Which is smaller: -35\/4 or a?\nAnswer: -35\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**2. Let m(f) be the third derivative of -f**5\/20 - 7*f**4\/24 - 2*f**2 - 12. Calculate m(b(a)).\nAnswer: -12*a**4 + 14*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*k*v**3 - 6*k*v**2 + 20088558*k*v - 6*v**3 - v**2 wrt v.\nAnswer: -36*k*v - 12*k - 36*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-56)*8\/9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 35, 77, 135, 209, 299, 405?\nAnswer: 527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4 - 3520*u**3 + 1569776*u**2 - 18458880*u + 54999072.\nAnswer: 2*(u - 874)**2*(u - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {i: 2, s: 6}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3836802 = 91*a - 14400901. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 - 34 = 6*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -92971000 rounded to the nearest 1000000?\nAnswer: -93000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.698*-229838.\nAnswer: -160426.924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6 * 367809\nAnswer: 2206854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/770 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 12:36 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 247\/47 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -8*l + 10. Suppose -l*o = 3*o - 155. Suppose -168 = -4*y - 100. What is the remainder when o is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 51\/4 - 55\/(-220). Let g(s) be the first derivative of -2\/27*s**3 - z + 1\/18*s**4 + 0*s - 2\/9*s**2. Let g(p) = 0. Calculate p.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19.4 - 3.6. Let j = w + 22.991. What is j rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k + 2. Let o(x) = -13*x + 8. Let f(q) = 2*o(q) - 9*y(q). Let t be f(2). Let a be 1*(-3 + t) + -12899997. Round a to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-3877\nAnswer: 775.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.161, 2, 212, 0.2, 4, 7, -0.5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -353347*k + 810701 wrt k?\nAnswer: -353347","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -593*j = -717*j + 620. Which is the second biggest value? (a) 0.5 (b) j (c) -1.07 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 6 + 5 + 4 + 10 + 2*a. Let x be f(-11). Let l be x + 0 + -1 + (5 - 2). Calculate the greatest common factor of 1 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1099\/4)\/((-12)\/27). Let l = 618 + w. What is the common denominator of (-6 - -4) + (-14)\/(-24) and l?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53330243?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52043 + 139963. What is q rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 1088574984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 14*v**2 - 9*v - 12. Let h = -98 - -92. List the prime factors of k(h).\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.21 + 0.09. Round g to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -u**4\/12 + 3*u**2. Let z be m(-7). Find the common denominator of 5 and (0 - 50\/z)\/(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/3483 and 121\/1121526?\nAnswer: 1121526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((5*(sqrt(162) - (sqrt(162) + -1 + 5)) + -2)**2 - (-1*(1 + sqrt(162) - sqrt(162)) + sqrt(162))**2*5*-2).\nAnswer: -1080*sqrt(2) + 12684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of s**6\/45 - s**5\/15 - 2*s**4\/9 + 8*s**3\/9 + 6*s - 54. Let t(j) be the first derivative of y(j). Find w, given that t(w) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, t: 5, w: 3}. What is prob of sequence gw?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 4*u**2 - 3*u + 5. Let g be ((-144)\/(-126))\/(48\/21 - 2). Give a(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1817651, -1817436, -1817225, -1817018, -1816815, -1816616, -1816421?\nAnswer: -1816230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6737*j + 11*j**2 + 564 - 555 - 6737*j.\nAnswer: 11*j**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25956, 25964, 25976, 25992, 26012, 26036?\nAnswer: 26064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t + 0*t - 6*t)*(-3*t**3 + 5*t**3 - 4*t**3 + (13*t**2 + 13*t**2 - 13*t**2)*(-t - t - 4*t)).\nAnswer: 160*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 634393 is divided by 316756.\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 58061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 54, 1\/5, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -17 - -26 - 8 - 21 - 3\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 2:42 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p**2 + 5*p + 1. Let s be u(-2). Let k be s + (0 - -2)\/(2\/3). Solve k = -2*z - 4 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 58898 and 82322576?\nAnswer: 8414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -9. Suppose -2*j + 70398 = c*r, 0*r - 3*r + 2*j = -105602. What is r rounded to the nearest 1000?\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a centimeter in micrometers?\nAnswer: 58000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2599286.7*4\nAnswer: -10397146.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141990000 = -513*s + 516*s. Round s to the nearest 1000000.\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 16*w**2 + 53*w - 128. Determine p(-7).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -108, -244, -436, -684, -988, -1348?\nAnswer: -1764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - 26.9271.\nAnswer: -26.5271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*h**2 - 3*h - 2*h**3 + 4*h - 18*h**2 - 2*h + 0*h**3 as c + i*h**2 + o*h**3 + t*h and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 12*z**2 + 13*z - 8. Let w be n(11). Suppose 3*r = 10*r + w. What is the closest to 6 in r, 5, 2\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 522537 is divided by 1971?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 24440 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.065621887 rounded to five decimal places?\nAnswer: -0.06562","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, -1, 1\/5, 1112509, -3\/7?\nAnswer: 1112509","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/78 or 1?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j. Let o be 2 + -4 + -2 + 1. Let h be o\/(-9) + 4\/6. What is t(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1932 - -340. Let r be 1 - (-2)\/((-8)\/(-6319)). Let v = l + r. Find the common denominator of -17\/5 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -12435, -18187, -23939, -29691, -35443, -41195?\n\"Answer: -5752*z - 6683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - z**2 - z + 4. Let k be g(0). Suppose k*i + 12 = -4*t, -7*i + 5*i - 13 = -5*t. Put i, 5, -5 in descending order.\nAnswer: 5, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5191\/6 - -886. What is the common denominator of d and -107\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/5))**(3\/2))**(-23\/4) assuming r is positive.\nAnswer: r**(-69\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18275*o = -18276*o - 3*l - 18, -4*o + 3*l - 27 = 0 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2053400\/297 + -6914. Calculate the common denominator of y and 59\/297.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**2 + 2*u + 3. Let p be y(-4). Calculate the remainder when 41 is divided by (-6)\/27 + 384\/p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (48\/30)\/(4\/10)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -4 + 5*k**2 + 3*k**2 - 3*k - 5*k**2. Give d(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + l + 0)*(2*l - 3*l + 10*l + (-3 - 1 + 3)*(3*l - l + 0*l)).\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*h**2*i**2 - 228*h**2*u**2 + 2*h**2*u + h*i**2*u**2 - 6*i*u wrt u?\nAnswer: -456*h**2 + 2*h*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4.11821 and 30300847?\nAnswer: 30300851.11821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of x**7\/8820 + x**6\/1260 + x**5\/420 + x**4\/4 + x. Let k(c) be the third derivative of t(c). Factor k(g).\nAnswer: 2*(g + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1630.999997968 + -1631. What is r rounded to seven decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/1940204 and 68\/623637?\nAnswer: 17461836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14.3903 - 14.4. What is m rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c9 - -23c?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oyjqjo. Give prob of sequence joo.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/689 and 77\/8541.\nAnswer: 452673","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18.2 + 5.46508532.\nAnswer: -12.73491468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1047.07672 to the nearest 10.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**2 - 80*h + 76 = 0. What is h?\nAnswer: 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 97643 a multiple of 377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -22677982287.25 + 6.6?\nAnswer: -22677982280.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -290 (b) 2 (c) 1\/8 (d) 518\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z*z**(2\/5)*z**(-2))**(-31))**(14\/9) assuming z is positive.\nAnswer: z**(-3038\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*i - 4 = -f, -2*i + 1 = 3*f. Let q = 0 + 5\/2. Which is the third smallest value? (a) q (b) -5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(192))*6 + (sqrt(192) - 1*-2*sqrt(192)) + 2)**2.\nAnswer: -3168*sqrt(3) + 16036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 10*m - 12. Let h be w(-6). Suppose 2*f = 4*y - 1 + 21, -31 = -3*f + 5*y. Suppose 7*j + 3*x = 3*j + f, 3*x = -3*j + h. Solve 4 + j = -b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.011*-28.04\nAnswer: -0.30844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*n**2*p*x - 19*n**2*x + 106*n*p*x**2 + 2*p*x**2 - 5*p + 798*x**2 with respect to n.\nAnswer: -4*n*p*x - 38*n*x + 106*p*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 72, 1, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 20 = -28. Let r(q) = -q - 10. Let d be r(b). Suppose 347 = 5*f + 4*k, -2*k = d*f + 2*k - 146. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 585\/(-54) - (-121)\/11\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -2*o**5\/3 + 2338*o**4\/3 - 364132*o**3\/3 - 1522312*o**2\/3 + 1494160*o = 0.\nAnswer: -6, 0, 2, 190, 983","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -319 - -325. Solve 12 = -2*w + a for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -3 + 0*b**4 + 0*b + 0*b**3 - 17*b**2 + 17\/5*b**5. Find the second derivative of f(w) wrt w.\nAnswer: 204*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37*y**4 + 47 with respect to y.\nAnswer: 148*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -3*q + 65. Suppose -3*g - 2 = -8. Suppose -2*h = 4*n - 236, 5*n + g*h + 3*h = 285. What is the remainder when n is divided by q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 311650000 to the nearest 1000000.\nAnswer: 312000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.211662 millimeters?\nAnswer: 0.0211662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/(-132))\/((-100)\/21300)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hz when two letters picked without replacement from zhh.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + -1. Let j be (-4)\/((-1)\/(g\/(-8))). Solve -o + 1 = -j*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6735 + -5979. Does 42 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*k + 55*k - b - 3 = 0, 2*b = 5*k. Sort k, 42, -6, 4 in descending order.\nAnswer: 42, 4, k, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15249 is divided by 686.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 982035 is divided by 83.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 8*y**2 + 296*y - 2949. Give o(9).\nAnswer: 363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 17. Suppose 5*s - 4*i - 12 = 6*s, -15 = -2*s + 5*i. Let o(z) = -3*z**3 + 8*z + 4. Let d be o(s). Put l, d, 0, 5 in ascending order.\nAnswer: l, 0, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -69*k - 6. Suppose -5*u + 8 = -r - 3*u, -r = -4*u + 12. Let n be y(r). Let o = n + -185. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -9 + 6 + 7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = p, -158*p + 2*w = -78*p - 79*p + 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18574 divided by -2.\nAnswer: 9287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69864 is divided by 23252.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kjjjkkjjjjkjjkkk. Give prob of sequence kkj.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6366.718877 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5244*p**4 + 5242*p**4 - 699 + 181 + 6*p**3 - 29*p**2 wrt p.\nAnswer: -8*p**3 + 18*p**2 - 58*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*i + 1 = -0*o, -4*i = -4. Suppose 32 = -2*w + 6*w. Suppose 3*u - w = u. What is the lowest common multiple of o and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*t + 25 = 0, -s - 5*t + 10 = -7*t. Let j be (1 - 2)*(-43 + 0). Suppose s*w - j = -w. What is w rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2121102021 (base 3) to base 14\nAnswer: 149ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of g**4\/12 - 17*g**3\/6 - 32*g. Find the second derivative of p(j) wrt j.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/3 + 1046*h**2\/3 + 348*h.\nAnswer: 2*h*(h + 1)*(h + 522)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) -4 (c) 5 (d) 3 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.81204 rounded to 2 decimal places?\nAnswer: 2.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5060 by -23.\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/73 in -1\/4, -176, 3\/7, -0.28?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-261)\/6)*1825\/(-3650)\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -32.71595 in 12, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 0*u - 108 = 0. Suppose 4*d + u - 79 = 0. Calculate the greatest common divisor of d and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 17201240, 34402333, 51603438, 68804561, 86005708, 103206885, 120408098, 137609353?\n\"Answer: i**3 + 17201086*i + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 150279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (3 - 55\/15)*(-16 + 7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = d - 231, -5*w + d - 303 - 840 = 0. Let f = w + 678. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x - 17. Let j be y(16). Suppose 3*k - 3*z + j = 0, z = 2*k + 7 + 1. Sort 5, -2, k, -5.\nAnswer: -5, k, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 10, g: 4, r: 2}. Give prob of sequence gg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 2159*j**3.\nAnswer: 2159*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in 12, -3, -4, 11\/38, -5, 4\/5?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 142 and 8276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + -41 + 44 + 0?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24712786 is divided by 20943?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 373*n + 290. What is the hundreds digit of l(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48a6 (base 15) to base 8\nAnswer: 36140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 2*i + 5*d + 27 = 0, -4*i + d + 9 = 0. Let k(v) be the third derivative of -v**6\/40 - v**5\/60 + v**4\/24 + v**2. What is k(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 67 + -64. Let p be h - -1*(-3 - -5). Suppose -4*z + o = p*o - 1128, 0 = -o + 3. Does 31 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 - u**2 - 2*u**2 + 1 - 2*u**2 - 1 + (4 - 2*u - 4)*(3*u - 2*u + u) + u**2 + 0 + 0)*(-3*u - 2*u - 5 + 3*u).\nAnswer: 12*u**3 + 30*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, v: 4, w: 2, f: 4, m: 8}. What is prob of sequence wf?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8574617*a**3 + 29811*a**2 - a - 14?\nAnswer: 51447702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -5*l**4\/24 - 2*l**3\/3 - 3*l**2\/2 + 2*l. Let s(i) be the first derivative of a(i). Is s(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*u + 40 - 255 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oommoom. Give prob of sequence om.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40 - -74. Let i = 37 - a. Solve i*z = -z + 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (3 - (9 - 8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -100.04 + 100. Is h bigger than 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 6) + 5 + -1 + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/10 of a kilometer?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 272948, 272967, 273012, 273095, 273228, 273423, 273692, 274047?\nAnswer: 274500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -s**3\/6 - 11*s**2\/4 - 9*s + 68. Suppose l(w) = 0. Calculate w.\nAnswer: -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*g**2*j**2 + g**2*j + 41679*g**2 - 1562957*g*j**2 - g*j wrt g.\nAnswer: -22*j**2 + 2*j + 83358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9069949 a multiple of 853?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/3)\/(312\/(-234)) - 90\/(-28)\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 352.4 - 352. Which is the closest to -1\/3? (a) -5 (b) q (c) -22 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 10*g - 21. Let s be b(11). Let o be ((-684)\/(-15))\/6 - (-6)\/s. Let d(p) = 0 + 7*p + 2*p - o*p - 1. Calculate d(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-663*v + 210*v - 51*v)*(-4*v + 5*v - 2*v) to the form f + x*v + u*v**2 and give u.\nAnswer: 504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8 + -9)*(-6)\/(-8)*2. Which is the nearest to d? (a) 0.2 (b) 5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -2, 0.05, -1\/3, 1\/82, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 32850762 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 653 + -437. What is the highest common factor of l and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -500874 divided by -2\nAnswer: 250437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.7 - 4.3. Let t(i) = -2*i**2 - 10*i - 6. Let x be t(-4). Which is the nearest to 0.1? (a) 0 (b) n (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1086, -4312, -9588, -16836, -25978, -36936, -49632, -63988?\nAnswer: -79926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 2*k - 1. Let m be w(3). Solve 4*d - m*p + 7 = -3*p, 5*d - p = -20 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3\/80 - -29\/80. Let m = 0.6 + -1. Suppose 8*z = 4*z + 5*b - 13, z + 3*b - 1 = 0. Put m, i, z in increasing order.\nAnswer: z, m, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 15*r**2 + 63*r + 15. Let x be k(-4). Solve 5*w + 3 = x*a, -558 = 3*w + 5*a - 597 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d + 4*d - 9. Let y(q) = -q**2 - 4*q. Let g be y(d). Which is the nearest to -2? (a) 2 (b) -1\/5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3*l + 1140, i = -l - 0*l + 384. Suppose -2*x + l = x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - b**2 - b. Let w(p) = -555*p**3 - 3*p**2 - 3*p. Give 3*f(i) - w(i).\nAnswer: 558*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264 = 2*z - 14*z. Suppose -5*p + z + 58 = 0. Suppose 0 = -9*j + 5*j + p. Calculate the highest common factor of 20 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h - 3*h - 3*h**2 + h**3 - 1 + h + h. Let c be t(4). Suppose -c*j + j + 18 = 0. Solve -3*i + 3 + j = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*p - 23*p - 62 = -2*n, -5*n + 31 = p. Calculate the greatest common divisor of 1519 and p.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 2*y + 60, -3*b + 5*y + 61 = 9. Let z be (-1)\/1 - (-7)\/b. Is z at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*v**3 + 4*v**3 + 78*v**3 + v**3 - 3*v**2 + 3*v**2 + (3 - 2 - 2)*(9*v**3 - 2*v**3 + 10*v**3) to l*v**2 + m*v + w*v**3 + u and give w.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -13*t**3 - 4*t**2 - 6*t - 7. Suppose 2*f - 4*x = -x - 12, 5*f + 9 = -3*x. Let k be s(f). Suppose p + k = 3*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -546*m**3 - 1626*m**3 - 6668*m**3 - 897*m**3.\nAnswer: -9737*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w + 8. Let z(y) = -2*y**2 + 14*y. Let o be z(7). Calculate the remainder when n(o) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 812653 is divided by 10482?\nAnswer: 5539","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10530 + 3481 - 209 - 8576 - 2713)*(5 - x - 5)*(-2 + 0 + 1).\nAnswer: -18547*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**7\/d*d))\/(d*d**(1\/12)))**(2\/5)*(d**(-6\/13)\/d*d**3)**(1\/7) assuming d is positive.\nAnswer: d**(-1427\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2981 - 0.0981. Which is the nearest to i? (a) -2.6 (b) -1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022 divided by -3?\nAnswer: -1022\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4 = -2*m, m + 2*v = -3*v + 5. Let j be (-2 - -2) + (-4)\/(-2). Let a(n) = -18*n**2 + 7 + 18*n**j - n**3 - n. Calculate a(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 8, a: 2, c: 3, d: 2}. Give prob of picking 1 d and 2 f.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2 - 1255*z + 56550.\nAnswer: -5*(z - 39)*(z + 290)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a litre in millilitres?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 116, 174, 232, 290, 348?\nAnswer: 406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*n + 18*n + 25*n = -208 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1453747442 rounded to six dps?\nAnswer: -0.145375","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 times -3.72484\nAnswer: -0.2234904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/149396086 and 37\/2783778?\nAnswer: 448188258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15819 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7375.8 and 0.2.\nAnswer: -1475.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 4:12 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + v + 0*v)*(-2 + 5 - 2) + (1 + 3 + 0 + (1 - 5 + 5)*(-5 + 3 + 1))*(2*v + 2*v - 19*v).\nAnswer: -47*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14541092057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**3 + 10*q**2 - 11*q - 27. Let u be r(13). Is 6\/(-4) + u*(-3)\/12 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -83 + 65. Let y = 4.9 - 5. What is the second biggest value in f, 1, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h. Let w(n) be the first derivative of -37*n**4\/24 - 11*n**2 + 3. Let p(b) be the second derivative of w(b). Determine p(r(f)).\nAnswer: 37*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 233*o + 81. Let r(v) = 254*v + 82. Give -13*l(m) + 12*r(m).\nAnswer: 19*m - 69","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 20*t - 602. What is f(30)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2446236 + 4892546 - 2446310 - c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(-2\/5)*q*q)**12*q**(6\/5)\/(q\/q**(-2\/5)) assuming q is positive.\nAnswer: q**43","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76.6459 years to millennia.\nAnswer: 0.0766459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 3*n = 9*i + 10, 3*i - 3*n - 18 = 0. Solve g + i*g = -10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vs when two letters picked without replacement from vvsvs.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -11*o**2 + o - 88. Let t(y) = 31*y**2 - 2*y + 236. Give 8*m(u) + 3*t(u).\nAnswer: 5*u**2 + 2*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 4:11 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1318 - -1323. What is the biggest value in 2, -4\/7, c, 0.11?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106.25 rounded to 1 dp?\nAnswer: 106.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-6 + -2 - -9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 722 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29 - -36) + 5 + -1 + 21 + -1.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zkkzzzkkwwkz. What is prob of sequence ww?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 11 = -1. Suppose 11 = q + 4*s - 2, -q - 1 = -3*s. What is the third derivative of -6*h**2 + 7*h**x - 13*h**2 - 15*h**5 - q*h**5 wrt h?\nAnswer: -780*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 1)*(-11*y - 18 + 18)*(-y**2 + 2*y**3 + y**2 + (-1 + 1 + y)*(-3*y**2 - y**2 + 5*y**2)).\nAnswer: 66*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3013*v**2 - 3017*v**2 - 8*v + 8*v.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 8320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1433236 to the power of 1\/3, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00064093 rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(720) + (sqrt(720) - (2 + sqrt(720))) + sqrt(720))*-5 - (-1*-1*sqrt(720) + (sqrt(720) + (sqrt(720)*1 - sqrt(720)))*-2))**2.\nAnswer: -2640*sqrt(5) + 87220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(2400)*-1)\/sqrt(12) + 3 + (-2*sqrt(242) - sqrt(2))**2 + sqrt(2)).\nAnswer: -18*sqrt(2) + 2122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1 + sqrt(1872).\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5+10.37\nAnswer: 5.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -16 + (-16 - -34)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 + 53. Suppose -d + 6*d - 62 = 4*y, u*y = d - 25. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2882403.3 months to years.\nAnswer: 240200.275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 323 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**2 + 287137214 - 9*n**2 - 287137214.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 8:41 AM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t**2 + 3*t + 3. Let d be x(-3). Is 1 + (-11)\/(d\/1602) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2))\/(1\/(-1)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**3 + 609*f**2 + 232320*f - 49369452 = 0. What is f?\nAnswer: -281, 242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 15\/6)\/((-13)\/52)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38 + (-20 - 19) - (4 + -11)) + -1 + 2.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29715 and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 18*x - 10. What is the units digit of q(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/54 + 31\/270. Let a = -1.2 - -1.4. Sort a, 0.5, -4\/3, c in decreasing order.\nAnswer: 0.5, a, c, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in 2\/3, 2\/5, -11?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11022*w**3 + 0*w**4 - 4 + 11030*w**3 + w**2 - 2*w**2 + w**4 + 3*w to x*w**4 + p + l*w**2 + h*w + s*w**3 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9644)\/16877 - (-470)\/14.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-186)\/(-45)*1 - 6\/45. Suppose 0 = -o*n + 2*p + 94, -4*n + n = p - 78. Suppose 21*a + 356 = n*a. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 7:51 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of 7*f**4\/72 - 23*f**3\/36 + f**2\/2 - 6*f. Determine v so that q(v) = 0.\nAnswer: 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/(sqrt(10) + sqrt(160) + ((sqrt(160) - (sqrt(160)*1 - sqrt(160) - sqrt(160))) + sqrt(160) - sqrt(160))))\/(-5*-3*sqrt(72)).\nAnswer: sqrt(11)\/1170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (50 + 2*o - 50)*(-7 + 57*o + 662*o + 9) in the form z*o + g + i*o**2 and give i.\nAnswer: 1438","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -33\/6625 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/23)\/(z\/z**(1\/6)) assuming z is positive.\nAnswer: z**(-103\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4 - 11 + 13 + 11 - t. What is the units digit of k(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49 - -181. Let c = u - 69. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278773172?\nAnswer: 2, 29, 61, 39397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/4 (b) 0.763 (c) -63 (d) -5 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*i - 0. Solve 4*n + i = 21 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-28)*x*x**(4\/11) assuming x is positive.\nAnswer: x**(-293\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4754 and 3.\nAnswer: 14262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -11. Let d = 1.5 + -1. Let i be (2\/12)\/(2\/8). Which is the closest to i? (a) 1 (b) d (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3872)*-2)\/((sqrt(64) - sqrt(4))*-6))\/(sqrt(36)\/(sqrt(54)\/(sqrt(12)\/sqrt(2)))*-1).\nAnswer: -11*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000009 rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -76 + -9\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 36*d**2 - 85*d - 585. What is y(-34)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 7*l**2. Suppose 0*h + 0*h - 11*h = 0. Let n(t) be the second derivative of 4*t + 0 + h*t**2 - 1\/6*t**3. Determine q(n(w)).\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*m - 4941915 = -52*m - 68*m. Does 11 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24 - 156*u - 163*u + 21 + 29 + 322*u as v + i*u and give v.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 248*m + 30. Let b(x) = -2*x**2 - 19*x - 19. Let d be b(-9). Let a be l(d). What is a rounded to the nearest 100?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6918 and -18?\nAnswer: -12.4524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, j: 4, m: 3, n: 2, s: 1, g: 2}. Give prob of picking 1 j and 1 m.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(3\/(9\/(-6))). Suppose -q - 3*q = 4*k + 32, -2*k - 5*q - 22 = s. Let c(w) = -2*w - 5. What is the units digit of c(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (17\/(-34))\/((-2)\/16). Let q(g) be the second derivative of 1\/6*g**z + 1\/30*g**5 + 0 + 1\/3*g**2 - 3*g + 1\/3*g**3. Find r, given that q(r) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 9*p - 5. Let x be t(-10). What is the second derivative of -9*c**2 + c - x*c + 0*c wrt c?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.151895 micrograms in nanograms?\nAnswer: 3151.895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -6.3. Let y = 242.6 + -242.7. Let u = -0.21 - -0.21. Sort u, y, c in increasing order.\nAnswer: c, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*x**6 + 155*x**5 + 8*x**2 - x wrt x.\nAnswer: -240*x**3 + 9300*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28298.\nAnswer: 2, 14149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**3 - 31*b**2 - 15*b + 1. Let f be q(-15). Let c be 1\/(1 + (-4)\/8 - 0). Sort f, c, -1\/3, 14 in decreasing order.\nAnswer: 14, c, f, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -5*p, -16 = -p - 5*r + 2*r. Suppose -p*o = -o. Suppose o = 5*u + 1 - 21. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 72 and 98.5.\nAnswer: 7092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 - 183 - (1 + 19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 2 + 13. Suppose -2*a + 8 = -p*k - 3, -2*k - 2 = -4*a. Let j = a + 8. Solve -j*d = -4*d - 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(1\/5)*a))\/(a\/a**5))**(-43)\/((a\/a**(2\/9)*a)**4*a**(2\/3)*a*a**(2\/5)*a) assuming a is positive.\nAnswer: a**(-7811\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 n when two letters picked without replacement from {y: 4, v: 7, n: 2, l: 6, w: 1}?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4389\/(-28))\/19*4. Which is greater: a or -37?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*h = 245*h - 119*h - 4. Which is the second smallest value? (a) -0.34 (b) 14 (c) h (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of f**3\/6 + 24*f. Let a(r) be the third derivative of 0*r**3 + 0 + 0*r + r**2 + 1\/8*r**4. Give j(a(b)).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -949\/190 - 40\/19. Calculate the common denominator of 28\/15 and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of 0 + 1\/360*i**5 - 8*i + 0*i**3 + 5\/2*i**2 - 1\/144*i**4. Let p(v) be the first derivative of o(v). Factor p(w).\nAnswer: w*(w - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2949144 divided by -66?\nAnswer: 44684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181983?\nAnswer: 3, 60661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 10 - (-57 - -57)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*6\/(-118)*27\/(-162).\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f**2 + 17430*f - 669560 = 0. Calculate f.\nAnswer: -3524, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -2*n**3\/3 + 7*n**2 - 18. What is the second derivative of s(w) wrt w?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20271 + -4?\nAnswer: 20266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 81445853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 554*i - 5873 = -6981 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 91857 and 141571.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 15. Put -4, t, -0.2 in descending order.\nAnswer: t, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0295 - 4.0295. What is the fourth smallest value in k, -2\/11, -0.4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5052965, 10105923, 15158881?\n\"Answer: 5052958*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164 = 2*o - y + 3*y, o = 4*y + 67. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103334837893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5332381?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 307402 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 14*b**2 + 7*b - 3. What is the tens digit of u(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 58\/52)\/((-57)\/(-76)). Which is the third biggest value? (a) 4 (b) w (c) 1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 divided by -5264?\nAnswer: -13\/2632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 17 = -1. Let k = -5 - q. Let f = -0.47 + -0.03. What is the second smallest value in -5, f, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 970 is divided by 241.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -263 - 1?\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 10:42 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2*c - 1985 = -3*c, -3*a + 1489 = 4*c. Suppose -2*r + a = 3*r. Let j = r - 65. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.03 from 50.458.\nAnswer: 50.488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 698\/21 + -4681\/168. Let n = 17373 - 694873\/40. Find the common denominator of f and n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 10*k + 23*k + 36*k)*(5 - 2 + 0) as i + y*k and give y.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1239.89878 to 1 decimal place.\nAnswer: 1239.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of 7*q**4\/12 - 4*q**3\/3 - 4*q**2. Let m be w(2). Let n = 10 + m. Calculate the remainder when 118 is divided by n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/441 - 295\/441. Let q = -1 + 3. What is the nearest to q in 3, f, 3\/16?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*s**2 + 9*s**2 - 66*s**2.\nAnswer: -100*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -54 + 90 + -59 - (-3 - 36) - (-2 + 129)\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/8)\/(1\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -103 - (7 + 66 + -149)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 27*j + 187. Determine d(19).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -46013.\nAnswer: 4\/46013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of 3*i**3 + 8. Let d(a) = 5*a**2. Give d(o(n)).\nAnswer: 405*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 244626 = 14*k + 5*v, -5*v = -15. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 11*b**3 + 32*b**2 + 44*b - 26. Let g(i) = 5*i**3 + 15*i**2 + 22*i - 12. Give -9*g(j) + 4*t(j).\nAnswer: -j**3 - 7*j**2 - 22*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 22.44861 + 0.3\nAnswer: 22.74861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3*sqrt(190) + sqrt(190)))\/sqrt(10).\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 a factor of 431339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263779 is divided by 159?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 34*v - 19. What is h(-34)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 142988 or 142989?\nAnswer: 142989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8, 45, 100, 167, 240?\n\"Answer: -x**3 + 15*x**2 - x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((s\/(s**0\/s))\/s)\/s)\/s)**(-2\/17)*s**(-7)*s*s*s**5)**(-4) assuming s is positive.\nAnswer: s**(-8\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000002972 rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 4*o - 69, -2*i + i + 10 = 3*o. Calculate the remainder when 34 is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -2*j**6\/3 + 8*j**5\/5 + 2*j**4 - 16*j**3\/3 - 2*j**2 + 8*j - 40. Determine d so that q(d) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -38\/5*s + 48 - 2\/5*s**2.\nAnswer: -2*(s - 5)*(s + 24)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2628 and 405369.\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2813321131 - 124?\nAnswer: -123.7186678869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*y + 44*y + 3*y**2 + 41*y.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -5*w**2 - 35*w - 14. Let f = 67 + -73. Let k(h) = 5*h**2 + 35*h + 12. Let j(a) = f*o(a) - 7*k(a). Factor j(z).\nAnswer: -5*z*(z + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5988, 9361, 12734, 16107, 19480, 22853?\n\"Answer: 3373*p + 2615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 19505939 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 8985.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(4\/9)*k\/((k**5*k)\/k))**(3\/26) assuming k is positive.\nAnswer: k**(-16\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of 27*q**3\/2 - q**2\/2 + q. Is x(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, z: 1, p: 2, i: 4}. What is prob of picking 1 i and 1 z?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 - 4*q. Let n be r(5). Find y, given that -10*y**4 + 413*y**n + 20*y**2 - 408*y**5 - 1 + 20*y - 15*y**3 + 1 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -220\nAnswer: -3\/220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51122*k = -3*p - 51111*k - 7, -p - 3 = -0*p + 2*k + 5 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 2, 1 in ascending order.\nAnswer: -0.1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - 67. Let z = b - -72. List the prime factors of 8\/z*(3 - (-2322)\/24).\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07007206*1.3\nAnswer: -0.091093678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b + 3*b**2 - 5*b + 7*b to the form f + q*b + k*b**2 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h - 10*h = 60. Suppose 84 = -8*v + h*v. What is the remainder when 62 is divided by v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 - -101. Let x = -197\/3 + p. Which is smaller: x or -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b**2 - 853*b - 3*b**3 + 854*b + b**3. Give t(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -2\/201?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -464904191*z - 317086912 wrt z?\nAnswer: -464904191","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -103405 (base 6) to base 9\nAnswer: -12675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/6)\/((-148)\/15984). What is the greatest common factor of b and 3528?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 57 - -288?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-3\/2)*k*k**(3\/8)*(k**(2\/13)*k)\/k*k**10 assuming k is positive.\nAnswer: k**(1043\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + (sqrt(128) - ((-1 + sqrt(128) - sqrt(128))*-2 - sqrt(128))) - -3*(sqrt(128) + 0))**2.\nAnswer: -192*sqrt(2) + 4612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4*s = 3*m + 51, s = -m + 56. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 - 37. Solve 0 = -d + 2*d + s*k + 5, -2*d - k = 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92 = -13*r - 659*r + 580 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 348956303?\nAnswer: 139, 2510477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -347 at most as big as -347?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5988.7262 + 3\nAnswer: 5991.7262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 90*a**2 - 392*a - 4158. What is k(-86)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 1349935*o + 10799545. What is j(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -0.2, 0.05, -15, -3\/4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1515539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -103.7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -10*k**2. Let h(r) = -r + 8*r**2 + 6 + r + 2*r + 4*r. Let g = -21 + 15. Let x(y) = -9*y**2 - 7*y - 7. Let m(a) = g*x(a) - 7*h(a). Determine f(m(w)).\nAnswer: -40*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -222*z - 3*z**3 + 3*z**3 + 217*z - z**3 - 5 - 2*z**2. Let m be f(-2). Solve -y = 3*o + m, 3*o - 5*y - 11 + 4 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -588288 divided by -147072.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.432899 and -2?\nAnswer: 2.432899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3\/77 + 1025\/616. Find the common denominator of r and 41\/352.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**3 + m**2 - 39*m - 77. What is q(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -25, -56, 13, -2.44 in increasing order.\nAnswer: -56, -25, -5, -2.44, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/5))**(2\/43)\/((s*s*s**(-2\/27)*s)\/(s\/s**(-7\/5))) assuming s is positive.\nAnswer: s**(-2891\/5805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 25314 = -2*f, 18*s - 16*s = 4*f + 25324. What are the prime factors of s?\nAnswer: 2, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 4*a + 5. Suppose h + 285 = 6*h + 2*f, -2*h - 4*f = -130. Suppose -42*p = -31*p - h. Let m(w) = -w + 1. Calculate p*m(k) - s(k).\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.3 (b) -1\/4 (c) 5 (d) -17 (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -34 + (-2)\/(-1 + 3). Let d = 119 + c. List the prime factors of d.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -20*y**2 - 155. Let v(r) be the first derivative of -4*r**3\/3 - 31*r + 10. Let a(w) = 2*m(w) - 11*v(w). What is the derivative of a(o) wrt o?\nAnswer: 8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1470\/5292*4\/(-5))\/((-10)\/(-4410)).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 8*f**2 + 3. Let m be z(8). Suppose v - 6*q + q = -m, 0 = 2*q. Let w(p) = -p + 1. What are the prime factors of w(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 79200017 = -3*x, 4*x - x = w - 79200007. Let y be x\/6 + (-2)\/(-3). What is y rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-1 + (-14)\/(-16)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1872 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -39 - -7797205?\nAnswer: 7797166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 7*c**2 + 10. Suppose 0 = -6*a - 0*a - 42. Determine b(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 3*l + 20977, -r = 4*l - 112 - 4111. Is r a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/(-2)*(5 - 3)\/(-6). Put q, -1, -44 in descending order.\nAnswer: -1, q, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 27*x**2 + 44*x + 465. Give q(-26).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.14 - -0.09. Let o = s + -26.23. Let x = -26.0000022 - o. What is x rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 174 and 64884948?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 3045 + -3043. Solve 2*q = -p - 1, 12 - 17 = g*q - 3*p for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 12:32 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 51 + 2*a**2 - 4*a**2 - 50 + 3*a + a**2. Determine k(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 16 = -10*d + 14*d, 3*d + 13 = -h. Solve -5*l + h - 3 = -v, 3*l = 2*v - 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 27*i**2 + 42 - 28*i**2 - 29*i + 27*i. Suppose 2*f = -5*r + 24 + 11, 3*r + 4*f = 7. Calculate the lowest common multiple of u(5) and r.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 4\/3 (b) -592 (c) 2\/3 (d) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 3*z - 66, -5*j + 4*z + 80 = -z. Let f = -1 - -4. Suppose -4*y - f = -j. Solve 0*b + 16 = -y*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14565792 and 162412.\nAnswer: 276750048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 43*l**2 + l - 2. Let z be p(-2). Suppose -4*g = -5*m + z, -4*m = -g - 4*g - 129. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*r - 2 + 38 = 0, 2*r = -3*b - 13. Let i be 2 - (-15)\/10*(-12)\/7. What is the second biggest value in 2\/15, i, b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8184 and 18.3304593?\nAnswer: 8165.6695407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 232.9 + -317. Let z = w - -84. What is the nearest to z in 4, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**2. Let o(q) = -552*q. Determine o(b(j)).\nAnswer: 1104*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 186, 6, -62.5, 0 in increasing order.\nAnswer: -62.5, 0, 6, 186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17012.00014752 - -17012. What is p rounded to six decimal places?\nAnswer: -0.000148","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42517?\nAnswer: 17, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b*c*l**3 - 503*b*c*l**2 - 2*b*c*l - 2*b - c*l**3 + 8*c - 14 wrt l?\nAnswer: -12*b*c*l - 1006*b*c - 6*c*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 9*c + 4*c = 0, 2*c = 4*d. Solve -3*g + 8*g = -l - 5, -4*l - g - 1 = d for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (0 + 0) - 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*s - 79521 = -11528 + 14141. Is s a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 36 - ((-7 - -17 - 1) + -12).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zf when two letters picked without replacement from {v: 1, f: 2, r: 2, k: 1, z: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 24*l**2 - 43*l - 5. Calculate the remainder when 252 is divided by m(22).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c - 9*c + 7*c - 2*c + 70*c**2.\nAnswer: 70*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 1, -1\/5, -0.098?\nAnswer: -0.098","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -418*g + 78*g + 80*g + 64*g + 117*g + 80*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0010279 to four decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 4. Suppose 0*u - 3*y + 15 = 5*u, -5*u + 15 = 4*y. Suppose l*v = 3*d - 76, d - 34 = -0*d - u*v. Calculate the remainder when d is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4000, 3996, 3992, 3988, 3984, 3980?\n\"Answer: -4*s + 4004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -139.44 - -146.589. Let a = 8.12 + -1.02. Let x = a - l. Round x to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10191889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**3 - 2*g**3 + 3*g**3 + (-g + 0 + 0)*(4*g**2 - g**2 - g**2))*(28 - 4 + 27).\nAnswer: -204*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 745642044 to the nearest integer?\nAnswer: 907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-36) - 38\/(-9). Suppose -b*f - f = -30. Calculate the highest common divisor of f and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h - 7. Give d(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -365710 greater than -20\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 16430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 divided by -9.\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -43993336 - -1.319?\nAnswer: -43993334.681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -0.2, -0.41, -10\/13, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*r + 56157 = 57453 for r.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1203428019?\nAnswer: 3, 401142673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 4:00 AM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 1759105 and 1759287 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, u: 2, m: 1, c: 1, v: 1, k: 3}. Give prob of picking 2 k and 1 i.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 72\/(-9) - -16 - -7. Solve -5*j + 2*u + t = -5, 4*j = -4*u - 12 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30469.711 - 366?\nAnswer: -30835.711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -37, -46?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0044649 rounded to 5 decimal places?\nAnswer: -0.00446","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/1 + 3\/12. Let b(i) = -i**3 - 6*i**2 - 4*i - 1. Let v be b(-5). Let l be ((-3)\/(-4))\/(v\/4). What is the third biggest value in l, 5, w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2306438 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((-168)\/14864)*((-540)\/2325)\/12 - -12?\nAnswer: 2\/155","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**3 + 2*p**3 - p**3 + (3502*p - 6*p**2 - 3502*p)*(-3*p - 6*p + 3*p).\nAnswer: 34*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p + 5. Let o be (29\/4 - 9)*(-4 + 0). What is t(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**4\/o**3)\/(o\/(o*o**(6\/7))*o\/(o\/(o**(-1\/7)\/o*o))*o*o*o))**(1\/26) assuming o is positive.\nAnswer: o**(-1\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 5*i = 3*f - 305, 337 = 5*f - 3*i. Let p = f + -33. Solve -3*j - p = 4*x, 3*x + 27 = -5*j - 8 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 5*p**3 - 234*p**2 - 45*p - 127. Determine n(47).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*v + 14, 4*g + 8 = -5*v + v. Let c = 7 + g. Calculate the least common multiple of 20 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, r: 2, k: 1, u: 1, x: 1}. Give prob of sequence xf.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6799*h - 2484 = 6722*h - 13494*h for h.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -457088*a*t + 4082*a + 2*t - 62 wrt t.\nAnswer: -457088*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -3*w**3 - 612*w**2 + 8883*w + 91140 = 0.\nAnswer: -217, -7, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, o: 2, m: 2}. What is prob of sequence om?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 110627?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 = 19*a + 143 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 1. Let z(g) = 7*g**3 - 7. Let i(n) = 6*x(n) - z(n). Let w(q) be the first derivative of i(q). Let w(c) = 0. What is c?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**2 + 52*b - 5. What is y(25)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of p**8\/560 - p**5\/40 - p**3\/3 - 2*p**2. Let i(c) be the first derivative of r(c). What is the second derivative of i(l) wrt l?\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4245406 and 77.\nAnswer: 29717842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 145 and 7685?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of x**7\/280 + 47*x**6\/160 + 7*x**5\/2 + 10*x**2 - x + 3. Factor d(r).\nAnswer: 3*r**2*(r + 7)*(r + 40)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 4*q = q - 31, -4*s - 2*q = -18. Suppose -s*g - 2*g = 5*n + 11, 5*g + 4 = -3*n. Let p(b) = 4*b**2 - 1. Let y be p(g). Solve y = -2*z - 7 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*(h\/(h*h*h**(-1\/3)))\/h)**(1\/19)*(h\/(h\/(h**(-3\/8)*h)))**38)**(-30) assuming h is positive.\nAnswer: h**(-27095\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -129253, -517002, -1163247, -2067988, -3231225, -4652958?\n\"Answer: -129248*n**2 - 5*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/3)\/((-3)\/9). Let j = 2 - v. Suppose 0 = 3*u + 2*t - 1, -t + 4*t = -4*u + 2. Which is bigger: j or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/652 or 973\/9?\nAnswer: 973\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1033 (b) -0.5 (c) -1\/4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -0.4, -348?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3 + 9*r - 8 - 2 + 26*r. Let c be d(-5). Is c\/(-6) - 2\/6 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -65*d**3*z - d**3 + 759*d**2*z + d**2 - 2*d*z - 1143*d - 9 wrt z?\nAnswer: -65*d**3 + 759*d**2 - 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 3:54 PM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2*1)\/((-6)\/9). Let h be (-3)\/((2 - 3)*1). Determine g, given that -2*g**3 + 2*g + 0*g**3 - h*g**v + 3*g**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -87, -300, -513, -726?\n\"Answer: -213*n + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.6926455 minutes?\nAnswer: 41558.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 75134923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 3\/125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 458, -0.0137, 4, -1, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 4 - (2 + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 444102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*a + 46*a + a)*(-2 + 2 + 2*a) - 3*a**2 - 2*a**2 + a**2 to the form j*a + l + d*a**2 and give d.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 8:49 PM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 901988 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -574.8 - -577. Let u = -3.5 - -3. Let j = u + y. Which is bigger: j or 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1259682 + 0.126. Round b to six dps.\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 155007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 261872, 258389, 254906, 251423, 247940?\n\"Answer: -3483*k + 265355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*i = 40*i + 20. Suppose -h - 29 = -4*m + 2*h, m = 5*h + i. Solve -12\/11*v**2 + 14\/11*v**4 + 10\/11*v - 2\/11 - 6\/11*v**m - 4\/11*v**3 = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19625487 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 8:17 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2145126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 4*s - 72 = 4*x, -s - 62 = -4*x. Let b = -105 - -120. Which is greater: b or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*p**2 - 1434*p + 2*p**2 + 2808*p - 1376*p.\nAnswer: -100*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38 and 1102.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1021211110220 (base 3) to base 13.\nAnswer: 1b00b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55900 and 264966.\nAnswer: 1118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -25*v**2\/2 + v + 2. Suppose 4 = -4*l - 0*l. What is the remainder when i(l) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*f - 3*x, -4*f + x = -6*f + 9. Solve -7 = -4*h - 2*a - a, 3*h - 5*a + f = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199024218*c - 50*c**2 + 199024218*c + 22*c**2.\nAnswer: -28*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3633 or 3636?\nAnswer: 3636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5232, -10440, -15626, -20784, -25908, -30992?\n\"Answer: r**3 + 5*r**2 - 5230*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 1.8. Let l = -777 - -779. What is the closest to c in 5, 7, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3520 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 t(a) be the third derivative of -a**6\/60 + a**5\/60 - a**4\/12 + 7*a**3\/2 + 1176*a**2. Let c(d) = d**3 + d - 11. Calculate 11*c(k) + 6*t(k).\nAnswer: -k**3 + 6*k**2 - k + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 2*a - 252, -2*g + 226*a + 126 = 221*a. Calculate the lowest common multiple of 288 and g.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of 45*v + 0 - 1\/6*v**3 + v**2 - 1\/12*v**4. Give g(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1959*j**2 + 1960*j**2 - 3933*j**2 + 1975 - 58*j wrt j.\nAnswer: -28*j - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(3)*2 + -5 - sqrt(24)\/(1*sqrt(8) + sqrt(8)) - ((sqrt(225)\/sqrt(3))**2 + -5*1*sqrt(3))).\nAnswer: -13*sqrt(3)\/2 + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 439 is divided by 91.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*i*k**4 - 13*i*k**3 + 191*i*k - 49*i - 19*k**4 wrt k.\nAnswer: 72*i*k**2 - 78*i*k - 228*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.26 + 178.74. Let m = h + -182.24. Round m to zero dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) 3 (b) 2\/19 (c) -0.2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6067, -6047, -6027?\nAnswer: -6007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26250.36 years to millennia.\nAnswer: 26.25036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -6 - 1 + n + 3*n. Let q = -20 + 13. Let x(g) = -2*g + 3. Calculate q*x(r) - 3*k(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x - 3. Let y be d(0). Let p(g) = g**3 - 10*g**2 + 33*g - 86. Let l be p(7). Is l > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 e when two letters picked without replacement from {e: 5, f: 1, w: 4, l: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 578 - 293 - 286. Let y(m) = -2*m - 1. What is o(h) + y(h)?\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64*b**4 - 3 - 15*b**2 - 21*b**3 - 18*b**2 - 68*b**4 - 19*b.\nAnswer: -(b + 1)**2*(b + 3)*(4*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8183b (base 12) in base 11?\nAnswer: 105919","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -172*c**2. Let d(u) = u. Give d(t(m)).\nAnswer: -172*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 451\/2 + -925\/4. Let q = v - -61\/12. Suppose 4*b + 8 = 4. Is q smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1479 + -0.060568618258\nAnswer: -1479.060568618258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3899100 rounded to the nearest 100000?\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0707? (a) -4 (b) -15 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105784994?\nAnswer: 2, 7, 59, 83, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1152899 is divided by 68.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -54, -76, -96?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -102094\/9 - -11344. Let g = -23 - -21. Let j be 16\/18 - 1\/1. What is the second biggest value in g, j, d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1659302*y**3 - 2*y**2 + 11316*y - 9 wrt y?\nAnswer: -9955812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -6\/23509?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 5891809?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 10:05 PM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -5, 1, 8\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 381*v**2 - 279*v - 1?\nAnswer: 762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 46791320921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 3:03 AM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from titiiztrzkzvzrkitzvz. What is prob of sequence vz?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 0*v = 4. Let d(y) = -6*y - 1. Let n be d(-1). Suppose 3*k + n*w = -v, -5*k = 4*w - 23 + 9. Solve 0*h = 2*h - k for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27461, 29514, 31533, 33500, 35397?\nAnswer: 37206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2072 - -2527. What are the prime factors of r?\nAnswer: 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.11754606 to two dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of 7*h**4\/12 - h. Suppose 1 = 3*j + 3*i + 7, -3*j - 4*i - 9 = 0. Is c(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 970, -24 in ascending order.\nAnswer: -24, -15, 970","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 - 4*v**2 - 2*v**2)*(v**2 - 4*v + 0*v - 4*v**2).\nAnswer: 15*v**4 + 20*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-6)*8\/3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 26?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/25 of a litre in millilitres?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03595 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 - k**3 + 3*k**2)*(-3 + 0*k + 0*k - k) + (k**3 - 3*k + 3*k)*(-2*k - k + 5*k).\nAnswer: 3*k**4 + 3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 470140 is divided by 1988.\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 47167374.\nAnswer: -7\/47167374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**8\/2 - 2*p**4 + 12*p. Find the third derivative of f(t) wrt t.\nAnswer: -3360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y - 49*y + 9*y + 14*y + 22*y + 10*y.\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -282, -356, -430, -504, -578?\n\"Answer: -74*g - 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1513b5 - 4?\nAnswer: -1513b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*u - 25 + 25 in the form s*u + w and give s.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 959 = 59*l - 3230. Solve -57*p + l*p + 42 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18 * -0.09.\nAnswer: 1.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -220 divided by 5\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/62419 and -55\/25064.\nAnswer: 6491576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 120930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + x - 6 = 0. Suppose 2*c = -0*c + 6. Find the third derivative of -j**3 + 0*j**3 + 2*j**x + 6*j**2 - c*j**2 wrt j.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fpcf when four letters picked without replacement from {p: 1, f: 6, c: 7}?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -41*t**3 + t**2 + t + 1. Let k be m(-1). Suppose 9 + k = i. What is the remainder when i is divided by 16 - 0 - 2\/(-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 50 = -3*c, 4*y - 46 = 4*c - y. Let d(q) = -q**3 + 8*q**2 + 8*q + 12. Let r be d(9). Let i be c + 13 + r + 1. Solve -o = -4*o - i for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gad when three letters picked without replacement from {d: 3, t: 1, a: 1, g: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5097 - 81593\/16. Find the common denominator of 79\/70 and a.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1359*p**4 + 6261*p**2 + 2*p - 7216413.\nAnswer: 16308*p**2 + 12522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*k**2 + 6*k**2 + 5*k**2 - 26*k**2.\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/671 in 0.4, 3\/2, -4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + -2)\/(-2 - -3). Suppose -4*z = -3*h - 3 + 29, -z - 2 = v. Calculate the smallest common multiple of 4 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 36*w + 60. Let t(f) = -5*f - 9. Calculate -4*p(i) - 27*t(i).\nAnswer: -9*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -131165 (base 9) in base 16?\nAnswer: -136f1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 + 1656043428?\nAnswer: 1656043527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 - 20. Does 12 divide (-9)\/(54\/(-804)) + -3 + z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 196330 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u**3 - 6*u - 7*u**3 - 11*u + 17*u.\nAnswer: -13*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 462990 and 9394?\nAnswer: 1342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6660 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96\/5 - 1284\/5*s**3 + 712\/5*s + 104\/5*s**4 + 372\/5*s**2 = 0. Calculate s.\nAnswer: -1\/2, -2\/13, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4813 - -129992\/27. Find the common denominator of ((-216)\/(-80))\/27*(-5)\/(-9) and n.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.22 - 1.22. What is the closest to -0.1 in -4\/5, w, -4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -970 + 1086. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -37*r**3 - r + 13. Let u(k) = -6*k**3 + 2. Let q(p) = -6*j(p) + 39*u(p). Find the second derivative of q(t) wrt t.\nAnswer: -72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 5)*(-3 + -5 + 11)\/30.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -2*s - s. Let f be s + 28 + 1*2. Let t = -15 + f. What is the remainder when t is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7105583?\nAnswer: 7105583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 35*q**2 + 8*q - 1. Determine h(35).\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -5, 2, 5 in decreasing order.\nAnswer: 5, 2, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + -3)*9\/(-3). Let g(a) be the first derivative of 0*a + 1 + 0*a**2 + 2\/3*a**k. Let p(t) = 3*t**2. Determine g(p(v)).\nAnswer: 18*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 131 + -74. Let y = o + -28. What is the greatest common factor of 174 and y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -645882.93 rounded to the nearest 1000?\nAnswer: -646000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**2. Let s(c) = c**3 - c - 1. Let d = 8 + -7. Let q(j) = d*o(j) - 2*s(j). Solve q(f) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w + 8. Let m(k) = 1299*k. Give j(m(v)).\nAnswer: -1299*v + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 714 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1423 times 48\nAnswer: -68304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 4 = 6*q. Let g be 15\/12 - q\/(-8). Let a be 10*(51\/45 - g). What is the closest to 1\/2 in -1\/7, 1\/5, a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 7. Let i = 1519 + -1514. Solve -15 = 5*a, -a + i = c*q - 7 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*n + 145 = 532. Suppose 2*r - w - 67 = 0, 4*r + 4*w + 13 = 141. What is the remainder when r is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.052172 - -0.052253802. Round l to 7 dps.\nAnswer: 0.0000818","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000022822307 rounded to six dps?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 199 divide 6996734768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 3*i + 759, 2*p + 150 = 3*i + 1665. Is p a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = -5*b - 4*m, b - m + 92 - 95 = 0 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -9 - (910 - 910)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (15\/(-27))\/((-20)\/24). What is the biggest value in 0.02, -0.06, v, 0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 5*f**3 - 7*f**2 - 3*f + 2. Let x(m) = -9*m**3 + 15*m**2 + 7*m - 5. Determine -5*s(r) - 2*x(r).\nAnswer: -7*r**3 + 5*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -2341.6128?\nAnswer: -234.16128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -385 = -7*h + 2*h. Does 17 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/(-2)*4\/(-6). Put 5, 2, t, 0 in decreasing order.\nAnswer: 5, t, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4 = 3*m - 5, -4*m + 12 = 0. Let f be 15\/6*1\/((-5)\/4). Let t(v) = -2*v + 2. Let i be t(f). Solve -n - n - i = l for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 - 2*r**2 + 0*r**2)*(-7 - 15 + 3)*(0*r - r + 0*r) to d*r**2 + p + b*r**3 + l*r and give l.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -c + 3. Let k be (-1)\/(1\/(-14) - 0). Let r = 16 - k. What is the remainder when c is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l + 34. Let b be s(0). Let r = b + -16. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3584 and 403256.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**3 - 22*p**2 - 194*p + 234. Calculate n(16).\nAnswer: -310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6002\/153051)\/(1\/((-12)\/4)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1273 times 0.1?\nAnswer: -127.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -3, -158?\nAnswer: -158","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 71 + -69. Solve 5*v + m = -3*m + 17, -t*v + 18 = -4*m for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 21*g**2 + 37*g - 17. Let b be h(-19). Let 81*q**b - 5 - 3 + 72*q + 20 = 0. What is q?\nAnswer: -2\/3, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.010595477086 to four decimal places.\nAnswer: 0.0106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -5 + (6 - (6 + -1)) + 2 + 1069.\nAnswer: 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/19062 and 119\/18.\nAnswer: 19062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 61*z**5 - 947*z**4 - 111943*z?\nAnswer: 1220*z**3 - 11364*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -65179060, -4\/7, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*m**3 + 13*m**3 - 3*m - 34*m**3 + 5*m**3 + 10*m**3.\nAnswer: 10*m**3 - 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 475174220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u. Suppose -5*j + 10*j = 50. Let a = 14 - j. Let b be s(a). Solve -4*y - 12 = -b*y, -3*y + 3 = -3*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1015\/9 - -113. Let u = 1 - -2. Solve -4\/9*f**u + k + 2\/9*f**4 + 2\/9*f**5 + 2\/9*f - 4\/9*f**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16*26\/293488)\/((-8)\/136)\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one halves of a century in decades?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 178\/73311 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*w - 8*w + 165 = 0. Suppose w*u - 1187 - 1675 = 0. Is u a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 525597a7?\nAnswer: -525597a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + n - 4 = 0, -n - 5 = 3*s. Let k = s - -3. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7 + 0)*(k + 2 - 2) - 3*k + 1 - 1 + (2 - 5 + 1)*(3 - 3 + k) + 0*k - 3*k + k.\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = 3*v + n, -5*v + 130 = 3*n - 41. Let o = 51 - v. What is the remainder when 52 is divided by o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**5 - 6*j**4 + j**3 + 6*j**2.\nAnswer: -j**2*(j - 1)*(j + 1)*(j + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(5\/(-20)) - -1. Let h = -3 - -19. Suppose -h = 4*w - 4*z, -5*z = 3*w - w - 20. Which is the nearest to w? (a) 0 (b) 1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3348 is divided by 1035?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Solve -4*b + p = -8, 2753*b - 2751*b = -p + 10 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Suppose 17*f = 9*f + 72. Calculate the remainder when 37 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 98 and 6993?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/2)\/(1\/(-5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*x - 24 = 0, 2*r + 4*x - 6 = 10. Suppose r*a = 2*i + 1342, a = -a + 4*i + 686. List the prime factors of a.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -234 - -228. Suppose -2*m + m = -5*f - 40, 0 = 5*f - 2*m + 40. Let l = n - f. Which is smaller: 3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 115, 226, 337?\n\"Answer: 111*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvppppppppvppp. Give prob of picking 2 v.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 17 - -424) + 5. Solve -6 + y = 58*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-178)\/506 + (-1565)\/(-17215)?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -r**3\/3 + 3*r**2\/2 - 3*r - 1. Suppose 5*d = -4*l + 21, -4*l + 6*l - d = 7. Calculate u(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-86 - (-259 - -94)) + (1 - 6).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -9*t**2 + t - 1. Let s(x) = -x**2 + x - 1. Let l(k) = k + 6. Let f be l(-4). Let r(b) = f*s(b) - 2*h(b). Let g(n) = 2*n. Calculate r(g(q)).\nAnswer: 64*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 885789049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7187045?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 25 + 30 + d**3 - 84 + 29 - 30*d - 5*d**2 as c + l*d + x*d**3 + u*d**2 and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/11, 0.105, -3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 21*q = -64. Let j be (-11 + -1)*(-2)\/6. Solve -j*o = -o + 3*t + 3, 0 = -4*t + q for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4\/3 + 400*v**3 + 191600*v**2\/3 + 1160000*v + 16820000\/3.\nAnswer: 2*(v + 10)**2*(v + 290)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -1.005. Suppose -59*p + 74327 - 74032 = 0. What is the nearest to 2\/5 in m, p, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 - 3*r**2 + r**2)*(-r + r + 3*r) + 2*r**3 - r**3 + r**3 + (-3 + 4 + 0)*(2*r**3 - 4*r**3 + 3*r**3) - r**3 + 2*r**3 + 0*r**3.\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4\/61 + 102\/305. Let i be 63\/(-36)*12\/(-42). What is the biggest value in i, 9, -0.5, v?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(6\/11))**(-47))**(-48))**46 assuming n is positive.\nAnswer: n**(518880\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 3*r + 32853, -3*z - 398*r + 397*r + 19707 = 0. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33445.68 milliseconds to minutes.\nAnswer: 0.557428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (112\/42)\/((-13)\/12 - -1). Let c = 65 - a. Suppose -4*v - 65 = -c. Calculate the greatest common divisor of 88 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4*5*(sqrt(272)*4 + 5)**2*-6*2 + 1.\nAnswer: -1050478 - 38400*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -52, -55, -58?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3\/7)*g\/(g**(-7)*g)*g)**(-6\/7) assuming g is positive.\nAnswer: g**(-318\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 777954?\nAnswer: 2, 3, 17, 29, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 312*m**2 - 2045*m - 2354 - 967*m**2 - 612*m + 97*m - 186 - 5*m**3 = 0.\nAnswer: -127, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j + 551 = 551 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -21352, -170953, -577030, -1367821, -2671564, -4616497?\n\"Answer: -21373*n**3 + 10*n + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 116 + 7. Let l = -125 - -139. What is the remainder when y is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of 0 + 0*v**4 + 0*v**6 + 2\/3*v**3 + 0*v + 1\/210*v**7 - 3*v**2 + 0*v**5. Differentiate x(h) with respect to h.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 837 and 744?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(72)\/((sqrt(360)\/sqrt(10))\/sqrt(9)))\/((sqrt(9) - 6*sqrt(36)) + 2*(sqrt(9) - (sqrt(1089) - sqrt(9)))))**2.\nAnswer: 72\/841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, 5, 4 in decreasing order.\nAnswer: 40, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 110 and 4235?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (8 - 2 - 3) - -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 11. Suppose x - i = 8. What is the greatest common factor of x and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 176036*t**3 - 19*t**2 - 20*t + 7.\nAnswer: 1056216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.91 - -252.91. Let m = r - 245. What is the third smallest value in -115, 4, m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 12*n - 7. Suppose -2 = 3*y - 4*y. Let i(j) = 7*j. Let z be i(y). Let x be h(z). What is the highest common divisor of 7 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (17 - (2 + -7 + 11))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + l - 84 = 68, -3*l = -6. What is the remainder when i is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14489195?\nAnswer: 5, 7, 23, 41, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/5 + 2)\/((-7)\/28)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 25*p**4 + 3*p**3 - 3*p**2 - 26. Let m(q) = q**2 - 9*q**2 + 8*q**3 + 76*q**4 - 51 + 14 - 41. Let u(c) = 8*f(c) - 3*m(c). Differentiate u(d) wrt d.\nAnswer: -112*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, s: 4, q: 8}. What is prob of sequence lsl?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8173)\/(-429) + (-290)\/5655.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 0, -u + 47 = -5*r + 177. Find the third derivative of 98*b**4 - 40*b**2 - 52*b**4 - r*b**4 wrt b.\nAnswer: 480*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194333 is divided by 158?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5065540 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 180, 1777, 6120, 14583, 28540, 49365, 78432, 117115?\n\"Answer: 229*f**3 - f**2 - 3*f - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(42\/21*4)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**2\/5 + 25*l + 289316\/5 = 0.\nAnswer: -479, 604","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.042 - 0.142. Let a = -6 + g. What is the nearest to a in -3\/4, 5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m. Let s(b) be the third derivative of b**4\/8 - 3*b**2. Give s(y(f)).\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*x**2 + 2*x**2 + x**2 + (2*x - x + 0*x)*(x - 2 + 2).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (24\/10)\/(3\/15). Suppose z = 2*c - 6*c. Is 59 - c*(-4)\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -586 and -2558448?\nAnswer: 2557862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 12:31 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 1)\/(-1) + 44. Suppose -4*n + 193 - f = 0. Is n a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/((-3)\/126*6). Let t = 12 - 7. Solve 3*u + t = p for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -9*m**2. Let i(v) = -40*v + 118. Give n(i(t)).\nAnswer: -14400*t**2 + 84960*t - 125316","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*q, -130*q - 2 = -i - 134*q for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2826 + -2825.9. What is the fourth biggest value in -0.3, p, -3\/5, -4\/9, -7\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1\/6 (b) 4\/5 (c) 2 (d) 4 (e) 15.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-10)\/15)\/(95\/(-114)))\/(2*1).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**3 - 3*q**3 + 12*q - 12*q.\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15208238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 0*s - 5*i + 15 = 0, 0 = -5*s + 5*i - 15. Suppose -n = -6*n. Suppose -5 - 19 = -8*u. Solve n = -s*q + u*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - ((10 - 5) + -1) - -31\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5383 + -2345. Does 31 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 288174?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 255 + 28*p + 28*p + 24*p - 111*p + 29*p to y + q*p and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 is divided by 50.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0177 - -0.3177. Let m = -35 - -35. Which is the second smallest value? (a) m (b) v (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2319 = -88*f + 2609 for f.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 562570793 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwpwgnpnggggwggn. Give prob of sequence gn.\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 398, 721, 866, 743, 262, -667?\nAnswer: -2134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1110210 + -10010?\nAnswer: -1120220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2*1*sqrt(91) + sqrt(91))\/sqrt(7).\nAnswer: -3 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 13*f + 301. Determine t(-27).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -3*w**2 + 9966*w - 217800 = 0.\nAnswer: 22, 3300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/9 + (-24)\/(-9). Let a be 8\/12*3 + v. Suppose -a*q - 5 = 0, l + l - 718 = -2*q. Round l to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000696 rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 1 = 7. What is the common denominator of (2 + -102)*i\/6 and 79\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 + 26 - 3*f**3 + f**3 - 51.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 50, 4.\nAnswer: -3, 4, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-72)*4*2484\/5152\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 6300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 627*y - 554 = 350*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 1:14 PM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*-1.9.\nAnswer: 17.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4222123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/21)*a**(-2)\/a)\/(a\/(a*a**(1\/10))*a**7))\/((a\/((a\/(a*a\/(a\/(a*a*a**(-2\/7)*a))))\/a))**(-7\/2)*(a**(1\/4))**(-45)) assuming a is positive.\nAnswer: a**(7457\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -12057208 < -12057207?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26799 + 26874. Let p(g) = -5*g**3 - 3*g**2 - 2*g - 3. What is the remainder when l is divided by p(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 10:48 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302 is divided by 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (502\/4)\/(29\/116). Let y = p - 500. Solve -2*m = -w + m - 12, -y*w = -2*m + 4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0 = -t - 3, -t = -4*q + 12. Suppose 215 = 5*n - 4*x + x, 10 = -2*x. Let o be n\/90*3\/10. Which is the nearest to t? (a) -3\/4 (b) o (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.57318 years in millennia?\nAnswer: 0.02757318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**5 - 33*g**4 - 81*g**3 + 93*g**2 + 204*g - 180 = 0.\nAnswer: -6, -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -143630, -4\/7, 3\/5, 0.3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 5*z**2 + 19*z - 7. Let g(j) = -2*j**2 - 9*j + 4. Let o(q) = 7*g(q) + 3*l(q). Let u = 4 - -1. Let r be o(u). Solve 3*p = r*p - s, -p + 4*s = 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, y: 7, w: 2, a: 1, q: 1, c: 1}. Give prob of sequence wcyy.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1846, -2416, -3366, -4696, -6406, -8496, -10966?\n\"Answer: -190*g**2 - 1656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/89*-10*161\/(-805). Which is the nearest to 1? (a) 4 (b) 1\/3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -47251*n - 1181279. Calculate q(-25).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -m**5\/20 + 11*m**4\/12 - m**3\/6 + 7*m**2\/2 - 2*m. Is k(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 6641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 5 = -2*i, -i = -d + 5*d - 7 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.075 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u - 12. Let h be j(5). Suppose 18 = -p + 7*o - h*o, -5*p - 2*o + 20 = 0. Suppose -9\/2*v**p - 3\/2*v**3 - 9\/2*v - 3\/2 = 0. Calculate v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 270862668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 177 - 126. Let p = -30 + k. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 10 = c, i - 5*c = 14. Let t = 55 + -52. Suppose 4*y = t*y - 5*g + 6, i*g - 72 = -5*y. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a**2 + 7*a + 52. Calculate the remainder when k(-11) is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l - 1. Is 2 a factor of m(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3247704*x**3 + 14657130?\nAnswer: 9743112*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 316091 to the power of 1\/2, to the nearest integer?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*v + 20*v + 14*v)*(-2 + 4 - 3 - 4 + 1 + 4 + (0 - 2 + 0)*(4 - 3 + 0) - 1 + 0 + 3 + 1 - 1 - 1).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1164263 and -10.79.\nAnswer: 1164252.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 3. Let z = r + 5. Let q(m) = -m**2 + 3*m. Give q(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/13)*d)**30*((d*d\/d**(-17)*d)\/d)\/(d*d\/(d*d*d*d*d**(-18)\/d*d)*d) assuming d is positive.\nAnswer: d**(476\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 46 = 26. Suppose -5*i + 2 = -v*i. Suppose 3*z - 24 = 5*c, -i*z + 2 = -c - 7. Solve 0 = 3*b + z - 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32865264 and 21330.\nAnswer: 164326320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -q**4\/4 + 10*q**3\/3 + 10*q + 22. Let v be p(10). Let r(i) = -23 + 11 + 0*i + i. Calculate r(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 40*u + 2446. Determine l(-61).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 87 * 0.3.\nAnswer: 26.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-3*sqrt(475)*3 + -1)**2.\nAnswer: -90*sqrt(19) + 38476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of a**5\/20 - 7*a**4\/24 + a**3\/3 + a**2 - 29. Find w, given that z(w) = 0.\nAnswer: 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (16\/24 + 0)\/((-2)\/(-108)) and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 11234339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 47311571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2. Let t(k) = k**2 + 11. Let m(s) = 11*d(s) - 2*t(s). Let r(a) = 3*a. Determine m(r(l)).\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 5*b**4\/2 + 13685*b**3\/2 + 9357115*b**2\/2 - 9370805*b\/2 = 0.\nAnswer: -1369, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 7 - ((-16 - -16) + -2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -35*p**4\/4 - 8*p**3\/3 + 15. What is the third derivative of q(t) wrt t?\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k = 7*k + 21. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/191 + -577\/764. Let a = -916\/9 - -102. What is the third smallest value in a, 4, 2\/13, t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 158 = 100. Let i = -130 + c. Which is smaller: -2\/211 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*l + 3*l + l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1791 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -16*d - 661. Let w(z) = 7*z + 329. Let f(g) = -11*w(g) - 6*x(g). Let r be f(-16). Put r, -1, 2 in decreasing order.\nAnswer: r, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8306 bigger than -8286?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 97*r**4 + r**3 - 3333*r.\nAnswer: 1164*r**2 + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 2 t, and 1 y when four letters picked without replacement from tpctppctyyyoycy?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -73.818, 3, 0.2, -0.1 in ascending order.\nAnswer: -73.818, -0.1, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -5*x + 4. Let r(j) = 4*j - 4. Suppose -3*n = 2*p - 15, -4*n = 3*p - 7 - 12. Give p*r(c) - 2*d(c).\nAnswer: -2*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (75\/10)\/(1\/6). Let m be y\/10*(-1)\/3. Put m, -2\/9, -4\/7 in increasing order.\nAnswer: m, -4\/7, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -91*h + 23. Let n(a) = a**2 - 24*a - 5. Let o be n(19). Let k = o + 98. Is 26 a factor of v(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1017 - 1011. What is the second biggest value in 0, -0.1, 37, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 5283*h - 417368. What is b(79)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -34*l - 1408. Is -395\/9 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13520 - -14120. What is the least common multiple of f and 840?\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4 - 136 = 0. Let f = 0 + -30. Let v = f + l. Solve -v*d - 4*g = 5, g + 1 = d - 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11365690 divided by -1.\nAnswer: 11365690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 36*o. Let i(y) be the second derivative of 7*y**3 + 352*y. Give i(z(d)).\nAnswer: 1512*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000239837734 rounded to seven dps?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4240 + -3931.9. Let v = j + -295. What is v rounded to 0 dps?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, s: 3, h: 2, p: 10}. Give prob of sequence ph.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/(3\/1))\/(4 + 0). Let u be -10 - -12 - (0 - 1). Suppose f = -u*z + 92 - 29. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 40. Suppose -32*a - 22*a = 270. Sort a, -4, 5, w in ascending order.\nAnswer: w, a, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 - -19. Let d(w) be the second derivative of -w**5\/20 - w**4\/2 + w**2 - 2*w. Let q be d(o). Which is the biggest value? (a) 4 (b) -13 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 297 = -12*k + 13, -5*f - 13 = k for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 21 - (7 - (-9)\/(-3)). Let s = h - -8. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 + 687 - 49 = -49*c for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -799899 and -4726?\nAnswer: 795173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-9))\/((-2)\/18). Suppose 5*t = w*t + 99. Suppose 5*q - t = 102. Is 20 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 7*y + 1225*y**2 + 57 - 1229*y**2 - 17. Let v(w) = w**2 - 2*w - 13. Give -4*u(t) - 14*v(t).\nAnswer: 2*t**2 + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 7*x - 5. Let p be h(0). Let m be 123\/(-205) - (-2)\/p. Let j be 3\/(1*39\/2). Which is smaller: j or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 6:39 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (113 - (5 + -8)) + 6\/2. Let b(v) = -v - 7*v**2 - 57*v**3 - 7 - 61*v**3 - 3 + i*v**3. Calculate b(7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/4 of a millennium in years?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*h = -5*o + 34*h + 6, 5*h = 3*o - 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r + 254*m - 251*m + 20, 0 = 4*r + 2*m + 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -5*w**5 - 70*w**4 - 105*w**3 + 200*w**2 + 220*w - 240 = 0.\nAnswer: -12, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1114\/(-30) + (-86)\/(-645). Let m = u + 1088. Is m a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 2\/13, -7, 4, 0.\nAnswer: -7, 0, 2\/13, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59407 - 266094 = -13*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 46\/(-12) - 2\/12. Let q be ((-16)\/(-132))\/(o\/6). What is the closest to -0.1 in q, 6\/5, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**3*w**3*z**3 - 217233*b**3*w*z**3 - 68*b**2*w**3*z**3 - 7*b**2*w**3 + 4*b**2*w*z**2 + w**3*z**3 + 9*w*z**3 - w*z**2 wrt b.\nAnswer: 12*w**3*z**3 - 1303398*w*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1715*i**2*w**2 - 8*i**2*w - 2*i**2 - 24*i*w - i - 119*w**2 wrt i?\nAnswer: 3430*w**2 - 16*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 134 - -237. What are the prime factors of f?\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-45))\/(-4)*-3\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z. Let x(q) = -6*q**4 + 10*q. Let g(m) = -6*r(m) - x(m). Find the second derivative of g(k) wrt k.\nAnswer: 72*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (11 + -13)\/((-2)\/(-27)). Let b = g - -30. Let l(y) = y**2 - 3*y + 1. Let a be l(5). Solve 0 = b*q + v + a, 5*q + 3*v + 23 = 6 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 5\/3, -4, -3, 14, 16\/5?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27910 + 5526221\/198. Find the common denominator of m and -71\/3.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d - 5*d + 49. Let p = 34 + d. Let k be 6\/p*(-5)\/(-7). Which is the third smallest value? (a) -0.4 (b) 3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -5*o + 39. Let n be j(7). Solve -n*t = -14 + 30 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 5*t - 40 = 0. Suppose -u + 4 = r, 0 = -4*u + u - 15. Which is smaller: t or r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or 97\/13?\nAnswer: 97\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(288))\/sqrt(9) + (sqrt(16)\/sqrt(8)*1)**2 + 4.\nAnswer: -12*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of 11*s**4\/4 - 2*s**3\/3 - 6*s - 66. Find the first derivative of u(b) wrt b.\nAnswer: 33*b**2 - 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3590, 3596, 3604, 3614, 3626?\n\"Answer: x**2 + 3*x + 3586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3214 (base 5) to base 11\nAnswer: -365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -211 - -352. What are the prime factors of x?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 361901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w**3 - w**2 + 5*w**3 + w**3 - w**3 - 4. Let g be u(4). Let t be (-3)\/(-4 - (-60)\/16). What is the highest common divisor of t and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*g**2 - 38 + 2*g + 4*g**2 - 8*g**2 + g**3 + 40 - 10*g**4 in the form h + i*g**3 + y*g**4 + u*g**2 + t*g and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3148 - 57*i + 25*i**2 - 23*i**2 - 3148.\nAnswer: 2*i**2 - 57*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4 = -3*f, 3*f + 14 = -5*q + q. Sort 4, -5, 5, q in increasing order.\nAnswer: -5, q, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66, -138, -220, -318, -438, -586?\nAnswer: -768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -6*v - 9. Let y be m(-3). Suppose 0 = -5*x + 5, -w - y = 3*x - 96. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 4*i - 4*i)*(i + 4*i - 4*i) + 0 + i**2 + 0 - 48*i**2 - 337*i**2 - 115*i**2.\nAnswer: -498*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1414 = -3525*n + 3727*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(20 - 2231\/115). Which is the nearest to q? (a) -0.241 (b) 2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 8513268490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**2 - 11*d + 4. What is the remainder when 30 is divided by o(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aqu when three letters picked without replacement from {q: 5, u: 5, a: 4}?\nAnswer: 25\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 191.608 + 0.392. Let g = f - 191. What is the fourth biggest value in 5, -2\/7, -4, g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*q - 35*q + 525*q**3 + 1 - 29*q.\nAnswer: 525*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -612*w - 1984. Calculate z(-3).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 82 = -102 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 21 = 2*z, -1801*b + 13 = -1803*b + z for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*j + 45*j + 13*j + 21*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 3, 6\/17, 147, 2, -2?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 74*l**2 + 216*l - 153. Let t be a(77). What is t rounded to the nearest 10000?\nAnswer: -880000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5320.666 kilograms in tonnes?\nAnswer: 5.320666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r + 2. Let z be q(-7). Let h = -6 + z. Put h, 2, -2 in increasing order.\nAnswer: -2, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2706 + 3210 = -43*g - 2420 for g.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 28.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 14170.16ng?\nAnswer: 0.00000001417016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tatthttddtyddtht. Give prob of picking 1 h and 1 d.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-20 + 8 + -1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of 28\/15*f**5 + 0 + 36*f**2 + 1\/24*f**4 - 20\/3*f**3 + 0*f. Find the second derivative of g(k) wrt k.\nAnswer: 224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 8495.133 years?\nAnswer: 849.5133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus -33330?\nAnswer: 33329.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.18238 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -5*m - 428. Suppose -4*z = m - 1046. Suppose 648 = 5*s + z. List the prime factors of s.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50 (base 16) to base 2.\nAnswer: -1010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*n = -355*n - 445*n + 31132 for n.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g - 44*k + 124 - 8, -2*k - 40 = 4*g for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 37 - 4\/((-16)\/12). Calculate the remainder when 6\/6*3 + c\/1 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01408300264 rounded to 3 dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -16. Suppose -q - 36 = -4*k. Does 3 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 0 - 11 + 2 + 8. Let j(a) = 3*a - 3 + 0*a - 2*a. Let n(q) = 3*g(q) - j(q). Let o(h) = 3*h. Give o(n(r)).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 616.62 * 0.1\nAnswer: 61.662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 7*f - 189. Calculate i(26).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -280*p + 559*p - 278*p - 102 to b*p + n and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - u + 3 = -205, 0 = -5*h + 3*u + 196. Suppose h = 14*n - 15. Solve 18*q - 2*q**n + 21*q**2 + 3*q**4 + 33*q**3 - 25*q**3 = 0 for q.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 e, and 1 t when four letters picked without replacement from oeoewowtoe?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*j - 104*j = 30 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21115.44 rounded to the nearest ten?\nAnswer: 21120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 1 = -3*t, -5*t = -3*k - 2*k. Let r be 0 + 0 + (-6)\/(-5). Let j = r - 7\/5. Is j less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1)*l)**(-46\/7)*(l*l**(-1))**22)**(-2\/3) assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.3869 - 0.0031. Let v = 0.39 + x. Which is the smallest value? (a) v (b) 2 (c) 1\/2 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5056054, 5056065, 5056092, 5056141, 5056218?\nAnswer: 5056329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mesmemetmst. What is prob of sequence stt?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 100129224 to the nearest integer?\nAnswer: 10006","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 2*o - 52 = -2*a, 5*a + 95 = 5*o. Let p(h) = h + 3. Let d(n) = 5*n + 13. Let c be (2\/(-4))\/(5\/(-40)). Determine a*p(t) + c*d(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 60383579 - -18.89734?\nAnswer: 60383597.89734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 10, -0.1, -42.1, -0.3?\nAnswer: -42.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 0, -4, -0.5, 13425 in increasing order.\nAnswer: -4, -0.5, 0, 0.3, 13425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 146147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43 - -20. Suppose -77 - 90 = -13*j - 193. Put k, -5, j in descending order.\nAnswer: j, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**2 + 14*x - 12. Let n be (115\/69)\/(3\/(-18) + (-3)\/(-6)). Calculate w(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjxjxxjxxj. Give prob of picking 3 x.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-2)*568\/4970?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssiiysipyiqnp. What is prob of sequence yn?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 - 65*o - o**2 + 64*o + 2*o**2 - 4*o**2.\nAnswer: -3*o**2 - o - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = -724 - 292. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dtfafcadddfddtfdtta. Give prob of sequence dct.\nAnswer: 14\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, g: 13, j: 3}. Give prob of picking 1 g and 2 j.\nAnswer: 13\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1695 - -728. Let h = 1853 + d. What are the prime factors of h?\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18091000 rounded to the nearest 1000000?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 54\/(-63) - (-1)\/((-28)\/(-136)). Solve 2*f - 1 = -3*s, 12 = -0*s + t*s for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 1) + 6 + -1 + -3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-2)*2*(-4)\/(-16).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((23520\/462)\/(-70))\/2?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*a - 3*d - 94 = -23*a, -3*a + 6*d = -48 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(612) + (sqrt(612) - (-1*sqrt(612))**2*-2) + sqrt(612) + -1*(sqrt(612) + -4)).\nAnswer: -2456 - 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 5:50 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -81.\nAnswer: -8\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -5*p. Let k(r) = -r**2 - r - 1. Let y(d) = 1134*d**2 + 1071*d + 1071. Let a(w) = -6426*k(w) - 6*y(w). Calculate v(a(b)).\nAnswer: 1890*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1705851?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2568 = -v - v. Let c be ((-100)\/6)\/((-2)\/v). What is c rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 125\/2062 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -585, -1169, -1753?\nAnswer: -2337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 53534622997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 + 59. Let g = 45 - t. Is g\/(-85) - (1 - 1121\/5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210\/481 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -2. Let s = 12 + d. What is the lowest common multiple of 4 and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 12 = 3*w, 3*w + 12 = -8*z + 3*z. Suppose z*y = 5*y - 105. Let q = -16 - -28. Solve g + y = -4*f, 3*g - 3*f = -0*f + q for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1412, 5625, 12638, 22445, 35040, 50417, 68570, 89493?\n\"Answer: -l**3 + 1406*l**2 + 2*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 4*a**2 - 2*a - 6. Suppose 5*v = v - 16. Let j be l(v). Solve -18 = -4*b - j for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nsss when four letters picked without replacement from snnsnssnsnnnnnnnssn.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 6 = 0, -3*f + 9 + 5 = 5*p. Let d be 0 + 4\/2 + -1. Solve -t = d + p for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + i. Let a(d) = 4*d**2. Let g(z) = -17*z**2 + 560*z + 32. Let c be g(33). Calculate c*t(x) - a(x).\nAnswer: -3*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.8 + -17.\nAnswer: -7.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -14. Suppose -u = -z - 1. What is the least common multiple of z and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/(-340)*(-20)\/33?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 27671.946 nanoseconds?\nAnswer: 0.0000004611991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 923 + 202 = -w, 4*w - g = -4415. Let q = -4768 - -2776. Let y = w - q. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 6*z**2 - 2*z - 2. Suppose 2*a = -9*a + 88. What is the least common multiple of j(-6) and a?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -5*d - 6, 530312*c - 530324*c + 5*d = 38 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 548439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 9*u**3 + 5*u - 3. Let h(b) = -2*b**3 + b**2 - b + 1. Let p(i) = 4*h(i) + s(i). Let z = 2 + 1. Let f = -7 + z. Calculate p(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a decade in months?\nAnswer: 1290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 69*c + 68*c + 5 = -2*d, -11*d - 11 = -5*c for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 22*r. Let n(k) = -35*k. Calculate n(i(p)).\nAnswer: -770*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of w**3\/6 - 84*w. Let c(b) = -22*b - 5. Calculate c(r(a)).\nAnswer: -22*a - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8b68 (base 12) in base 5?\nAnswer: 443423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x - 5*a - 4, -21*x + 20 - 12 = -22*x + 11*a for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + d - 3 = 0. Let b(g) = 3*g**2 - 2*g + 1. Let q be b(d). What is the least common multiple of 1 + q + 0\/(-1) and 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(3) + 1)*-6 + -4*(sqrt(3) - ((sqrt(27))**2 + 5)).\nAnswer: -10*sqrt(3) + 122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-66)\/(-108) + 1\/(-9).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**3 - 3*c**2 + 2. Let g = 29 - 20. Let r(l) be the second derivative of -l**5\/20 + l**4\/12 - l**2\/2 - 2217*l. Calculate g*r(i) + 4*f(i).\nAnswer: -i**3 - 3*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 710 divided by -218\nAnswer: -355\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -457*l = -148*l - 3399 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 445190*v = 445188*v + 28, 4*w = 3*v + 49 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 303 + -305. What is the nearest to -1 in 0.2, m, -3, 1\/21?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1355034443.\nAnswer: 7, 23, 8416363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q - 4*l + 256 = 0, -5*q - l - 194 + 366 = 0. Suppose -2*y - y - 28 = -4*x, x - 8 = y. Calculate the lowest common multiple of q and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -599, -1379, -2315, -3401, -4631, -5999, -7499, -9125?\n\"Answer: c**3 - 84*c**2 - 535*c + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 14 = -4*u, 5*h + 16 = u + 2*h for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-25)\/(-40) - ((-4194)\/(-720) + -6). What is g in -4\/5*g - l*g**2 + 0 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 1 = -5*k, -39*x - 8 = -41*x - 2*k. Solve 9 = -x*p - 3*b, 7*p + 2*b - 1 = 12*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3079*u - 21868. Determine j(7).\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z + z - 2*z)*(-3 + 0 - 1)*(1 - 1 - 5*z) in the form r + l*z**2 + q*z and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6612 + 2*u**3 - 13222 + 6610.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -33*t. Let x(p) = p**2 + 11. Calculate x(m(i)).\nAnswer: 1089*i**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -26*c - 154. Calculate the smallest common multiple of s(-11) and 120.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32765, 65859, 98949, 132035, 165117, 198195, 231269?\nAnswer: 264339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2. Let d be 7\/2 + (-1)\/(-2). Let c(m) = m**2 - 2*m + 3. Let b be c(d). Let l(w) = -b*w - 4*w - 12*w + 17*w. Give l(v(x)).\nAnswer: -20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -715 - -740. What is the nearest to 46 in -5, 3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 0. Let h = r - 1. Solve h*z = 4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/3)\/((-4)\/6)*(-8208)\/(-1368)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56145 and 12805?\nAnswer: 729885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -13691386373.298 - -2?\nAnswer: -13691386371.298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 206958894?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2353, -9403, -21161, -37633, -58825?\n\"Answer: -j**3 - 2348*j**2 + j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2 - 2 + 2*j. Let k(d) = 2*d + 3. Let o be 228\/(-14) - 4\/(-14). Let b(r) = -10*r - 16. Let q(s) = o*k(s) - 3*b(s). What is i(q(n))?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 q, and 1 o when four letters picked without replacement from {g: 6, o: 1, q: 5, a: 2, z: 3}.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 59450865 take away 0.5?\nAnswer: 59450864.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3926*v + 7038*v + 36051 = 3703*v for v.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5737805 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.157 - 0.156882. Round g to 5 decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.5 + -3. Let u = 0.84 + -3.43. Let h = -0.59 - u. Which is the nearest to -1? (a) h (b) n (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: -24761648 * -0.9\nAnswer: 22285483.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4 - 0.1. Let j = -0.777 - -0.077. Let n = j - q. Which is the closest to -2? (a) -2\/9 (b) n (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354 is divided by 31?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4516380?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 108989 from -1212.8159.\nAnswer: -110201.8159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7 and 6170.9.\nAnswer: 6177.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of 1\/2*v**2 - 1\/6*v**3 + v + 0 - 3\/4*v**4. Calculate d(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fjg when three letters picked without replacement from nghjf.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 24*l - 28*l - 12, 4*y = 3*l - 33. Let h(x) = -3 + 6*x**2 - 2*x - 10 + 4*x. Is h(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {k: 3, f: 6, j: 8}.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - ((-84 - 16) + 13 + 6).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2483488 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 13*c + 4. Let u be (-2 + 0)\/(6\/12). Let g(p) = -377*p - 117. Let a(l) = u*g(l) - 117*o(l). Let f(d) = -73 + 141 - 2*d - 68. Calculate a(f(v)).\nAnswer: 26*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/20)\/((9 + -4)\/(-75)). Does 28\/3 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 120.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -623*p**5 + 39*p**2 - 51166*p?\nAnswer: -12460*p**3 + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 - -235.2946878.\nAnswer: 242.2946878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -74 + 101. Suppose 0 = w*o - 24 - 30. Solve -t + 11 = -3*u, o*u - 3*t = -2 - 3 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -3*w + 3*h, 5*w + 3*h = 3 - 36. What is the remainder when 210\/w*54\/(-15) is divided by ((82 - 0) + 4)*1\/2?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 + -30.5. Are b and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in five eighths of a micrometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50 + -41. Let y be (18\/3)\/(-2) + 5. Suppose 4*c - 3*j = 180, y*c - 2*j - 129 = -39. Calculate the greatest common divisor of f and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 696.2476 seconds?\nAnswer: 696247600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -5 + 5 + 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24780 and 672?\nAnswer: 198240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000005438141 rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 4) + -18 - (-15 + 28 + -22)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*g - 11. Let w be (-112)\/6*g\/7. Let r = -139736 - -2096042\/15. What is the third smallest value in -0.5, w, r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 4*s + 16, -4*j + 2*s = 7*s - 43. Let z = j - 6. Suppose 0*b - b = z. Let f(q) = -5*q**2 + q. What is f(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 s when four letters picked without replacement from {d: 2, n: 3, r: 2, s: 9}?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27592*k**2*r**2 - k**2*r + 2679*k**2 + 2*k*r wrt r?\nAnswer: 55184*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -24 - 20 + d**3 + 19 + (-5*d + 2*d + 2*d)*(-4*d**2 - 7*d**2 + 6*d**2) + 0*d**3 + 5*d**3 - 3*d**3 in the form i*d**2 + b*d + h + x*d**3 and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20220 divided by 6.\nAnswer: 3370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 184 + -188. Let b(m) = m**2 - 2*m - 12. Let i(w) = 2*w**2 - 3*w - 24. Let g(k) = -5*b(k) + 3*i(k). Let s be g(l). Solve -4*y = -s*y + 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.820418 millilitres in litres?\nAnswer: 0.003820418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -116\/187 + -10327\/8976. Calculate the common denominator of 77\/108 and x.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5838\/828)\/7 - 1. Is 2\/5 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, h: 1, i: 2, l: 1, w: 1, s: 1}. What is prob of sequence sw?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 249 = 122 + 124 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 5. Let p be y(0). Suppose -o + 2*n + 8 = -3, p*o = 3*n + 20. Suppose 1 = -d - 1. Put 2, d, o in descending order.\nAnswer: 2, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11062811821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*u + 11*u - 8*u)*(-u - 2*u + 0*u + (1 + 3 - 2)*(-u + 0 + 0)) to the form f*u**2 + p + n*u and give f.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 7*x - 6. Let g be u(8). Suppose -10*v + 5*v = 15, -4*v - 6 = 3*p. Let p*j**4 - g*j**2 + 0 + 2\/3*j**3 - 2\/3*j = 0. Calculate j.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1552*j**3 - 785*j**3 - 961*j**3.\nAnswer: -194*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j - 70 = 95508*c - 95503*c, -c = -3*c + 4*j - 32 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 times -92?\nAnswer: -6072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -16. Let z = 11.91 - y. Let l = z - 1.91. Which is the nearest to 1? (a) 1 (b) -3\/5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 86*x**2 + 5*x + 3. Suppose 0*a - 5*a = 0. Suppose 15*b - 20*b + 20 = a. Is g(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000791175 to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46588 and 1343908?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -228, -229, -230?\n\"Answer: -q - 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1232 and 4673284.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 5445*h - 163671. Calculate c(30).\nAnswer: -321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/3 + 3256*p**2\/3 - 876032*p\/3 - 130899968.\nAnswer: -2*(p - 928)**2*(p + 228)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i*i**0)\/i))\/i*i)**(-8\/11)\/(i**(-18)\/i*i\/(i*i**10*i)) assuming i is positive.\nAnswer: i**(322\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2133 at least -2158?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - s = -t + 5, -5*t - 4*s + 31 = 0. Suppose 8 + 49 = t*i. Solve -3*m - i = -4*o - 1, -5*o = -15 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -1. Suppose 37 = t*i - i. Is 20 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from sjgsgsssssjs.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/sqrt(6)*-6)\/sqrt(4).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2247.\nAnswer: 3, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*h + 113*h + 654*h**3 + 3529*h**3 - 88*h.\nAnswer: 4183*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -19759871 and -0.83?\nAnswer: 19759870.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - -9. Let z = f + 9. Let d = -0.27395 - 0.22605. Which is the smallest value? (a) d (b) -0.1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((36*m + 35 - 35)*(-2*m**2 - 4*m + 4*m) + m**3 - 6*m**3 + 4*m**3)*(2*m**2 + m**2 - 4*m**2 + (-m**2 + m**2 - 2*m**2)*(-1 + 2 - 3)).\nAnswer: -219*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w - 115*w**2 - 95*w**2 + 217*w**2 - 12 + 4*w - 22.\nAnswer: 7*w**2 + w - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4898289 to the nearest integer?\nAnswer: 2213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1957 - 1942. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.046 * 13.5\nAnswer: 0.621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-75)\/1150*24\/18.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 386, 414, 386, 296, 138, -94, -406?\n\"Answer: -o**3 - 22*o**2 + 101*o + 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, o: 1, e: 1, v: 1, y: 1}. Give prob of sequence eyv.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 70 = -5*a, -2*w + 22 = 4*a - 0. Calculate the highest common divisor of w and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 11 + 16 + -24?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*f - 134. Suppose 5*v = 2*r - 380, r - 2*v = v + 192. What is the highest common factor of r and f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**3\/6 + 4*p**2 - 97*p. Determine f(-9).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/14000 and -149\/4500.\nAnswer: 126000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-3))\/6*2\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17566897 to the power of 1\/3, to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b**2 + 5. Let k(q) = 118196*q. Give i(k(s)).\nAnswer: 41910883248*s**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 35.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -704 - 500 = -28*v. Are 41 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**5 - 25*w**4 - 90*w**3 - 130*w**2 - 85*w - 21 = 0?\nAnswer: -21, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14440 - 14209. What is the remainder when s is divided by 58?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 45 + 1873?\nAnswer: 2028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -132.9 + 133. Let r = 1.32 + -1.3. Let t = r - -0.08. What is the closest to w in t, -4\/3, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 150*b**3 + 30*b + 153*b**3 - 340*b**3 to n + l*b + k*b**2 + q*b**3 and give q.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 11 = 5*s, -26*s + 28*s - 5*v = -1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/4*(-20)\/(-15). Suppose -5*o + 270 = -0*o - 5*v, 0 = o + 2*v - 45. What is the remainder when o is divided by -3 - ((d - 22) + 3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -2*x - 3*x + 3*v, 0 = -2*x + 4*v + 38. Suppose q - 16 = 4*g, q + 1 - x = 2*g. Solve -r + 0*r + 2 = q for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 912187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 253763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 14*n**2 - n - 446. Let p(y) = -50*y**2 + 4*y + 1338. Determine 7*c(v) + 2*p(v).\nAnswer: -2*v**2 + v - 446","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 2 = -3*t. Suppose 3*q + 18 = 7*q + t*x, -21 = -3*q + x. Let d = -5 + q. Solve 5*z = 2*j - 33, -2*j + d = 2*j + 3*z for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(72) + sqrt(2)) - (sqrt(363) + 0 + sqrt(3))**2.\nAnswer: -432 + sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4382025 divided by -4382025.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*o, -28*r - 2*o - 6 = -27*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 0.4 (c) 0.3 (d) -1\/4 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18*i**2*q + 5818285*i**2 + 50*i*q**2 + 149*i*q with respect to q.\nAnswer: -18*i**2 + 100*i*q + 149*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 2*o - 17. Let y be w(7). Let g(q) = 19*q - 8. Let r be g(y). Suppose c = -5*k - r + 1360, k - 5*c = 226. List the prime factors of k.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 3 - 4)*(-1 - 1 + 1)*(2*r**4 + 10*r**4 - 5093*r + 5097*r) to the form k*r**3 + w*r + g*r**4 + z + y*r**2 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 15*q. Let s(d) = -234*d. Determine s(u(n)).\nAnswer: -3510*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/3, -51, 3\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.62 + 1.23. Let o = d + 0.15. Let x = 6 - o. Which is the second biggest value? (a) -1\/4 (b) 1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 22987\/7749?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of n**4\/12 - 5*n**2\/2 - 5*n. Let p(m) = -2*m**2 + 5. Let v(l) = 3*d(l) + 2*p(l). Find the first derivative of v(g) wrt g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 235.1 - 232.1. Sort -3, 6\/17, 1\/6, g, -0.2 in decreasing order.\nAnswer: g, 6\/17, 1\/6, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 54158, 108114, 161888, 215480, 268890, 322118?\n\"Answer: -91*p**2 + 54229*p + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -65 + 63 - 4*q**2 + 0*q**3 + q**3 + q. Let y be i(4). Suppose 4*n + 186 = -s + 3*s, -y*n = s - 89. Is 13 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 697231 is divided by 29.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 4*j = 6, -4*y = j + 831 - 822 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 3*s + s**2)*(21*s**2 + 45*s**2 - 15*s**2)*(2 - 1 + 3).\nAnswer: 204*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -13 + 17 + (-18)\/(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of 89*u**5\/5 + u**4\/2 + u**3\/3 - 2329*u**2\/2 - 5756. Find the second derivative of h(o) wrt o.\nAnswer: 1068*o**2 + 12*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*-6463.02.\nAnswer: 77556.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bba when three letters picked without replacement from {b: 8, o: 1, a: 6}.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a millennium in months?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1350*p - 1054*p - 285*p.\nAnswer: 11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 21784\/10 - (-9)\/((-45)\/2). Suppose -u + 0*x + 4*x + 418 = 0, 2*x - g = -5*u. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5205 is divided by 1099.\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4*t**3 + t**2 - t + 1. Let j(b) be the second derivative of 1\/6*b**3 + 0 - 9\/2*b**2 + 2*b. Let q be j(10). Give k(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 51 = -17. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1922 + -1940. Let q = 0.3 + 1.7. What is the closest to u in q, 3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 5:50 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 320*h**3 - 2*h**2 + 5*h - 4. Let v be a(4). Let r = -39481 + v. Let b = r - 783. What is b rounded to the nearest one thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 70 = -o. List the prime factors of o.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.12 + 12.12. Let y = -12.4 + t. Which is the biggest value? (a) -2\/9 (b) y (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.5 - 4.91. Let f = 29542.40982 + -29542. Let y = l + f. What is y rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l**3 + 9916099*l**2 - 1288*l + 4532 wrt l.\nAnswer: 12*l + 19832198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -12*c**3 - 7*c**2 - 3*c - 5. What is the hundreds digit of y(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 117\/3 + -5 - 1095787\/32186?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1680 a factor of 64233120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 9*a**2 - 2*a - 3. Let v(b) = 3*b**3 - 18*b**2 - 4*b - 7. Give 7*d(p) - 3*v(p).\nAnswer: -2*p**3 - 9*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 569416016?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1374*u**3 - 2750*u**3 + 1393*u**3.\nAnswer: 17*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1786482662 rounded to 5 dps?\nAnswer: 0.17865","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -5*d + 36, 1 - 26 + 41 = 5*d - 13*y - 6*y for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2465 or 1551?\nAnswer: 1551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 30?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 20*s**2 - 2*s - 17. What is k(-20)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 19*v - 115. Let a be z(23). Let t = -10\/217 - 3\/31. What is the second biggest value in 0.11, t, a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/3))**(-27\/2))**17*c\/c**(-1\/3)*c**(3\/7)*c**(2\/7)\/c**(-5) assuming c is positive.\nAnswer: c**(3509\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-174) - 13861*(-270)\/(-247608090).\nAnswer: 1\/127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**3 - 1920*m**2 - 117655*m + 1533180.\nAnswer: -5*(m - 11)*(m + 92)*(m + 303)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**2 + 4*n - 1. Let i(m) = -m**2 + 7*m - 4. Let h be i(7). Let k be (h - -2) + -1 + 0. Calculate the remainder when 13 is divided by l(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 190446, 1523812, 5142950, 12190746, 23810086, 41143856?\n\"Answer: 190481*t**3 - t - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2*sqrt(432) - (sqrt(432) + (sqrt(432) - -6*-1*sqrt(432))))**2*1.\nAnswer: 432*sqrt(3) + 15561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 9*l**2\/2 - 31*l - 1007. Determine n(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 857945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1494, 1496, 1508, 1536, 1586?\nAnswer: 1664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -287884 * 131.\nAnswer: -37712804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/3375 and -56\/99?\nAnswer: 37125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-86)\/215*10\/(-22). What is the fourth biggest value in -5, -1, -0.2, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12257595 and 500310.\nAnswer: 24515190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -227 - -227. Let 0*a**2 + g*a - 1\/2*a**4 + 0 + 1\/2*a**3 = 0. Calculate a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 6*m**2 - 4*m - 8. Calculate v(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 12*i**2 + 2604*i - 10386. What is z(4)?\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -577*b**3 + 2*b**2 - 290*b - 13. Let l(u) = 289*u**3 - u**2 + 144*u + 6. Let f(d) = -6*i(d) - 13*l(d). Find the third derivative of f(a) wrt a.\nAnswer: -1770","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.32000258 + 2.32. Round u to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -d447 (base 14) to base 6\nAnswer: -441023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36743 (base 10) in base 2?\nAnswer: 1000111110000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 1. Let w(d) = -3*d**3 + 8. Calculate w(r) - 5*x(r).\nAnswer: -8*r**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/(-4) - ((-135)\/18 - -10)*-1?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and 192.08471817943.\nAnswer: 195.08471817943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + m = 0. Solve -3*q = -m*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 44798172.\nAnswer: 1\/22399086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -b35861 (base 12) in base 15?\nAnswer: -3a756a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 11:33 AM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/31724 and -73\/15862.\nAnswer: 31724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -242*h - 1 + 64*h + 87*h + 45*h - 2*h**2 in the form f*h**2 + a*h + w and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(176) - (sqrt(176) + 1)) + -2 + 1*sqrt(176))**2*-3 + -3*(-3 + sqrt(176)) + 4*((sqrt(176)*-1 - sqrt(176)) + sqrt(176) + sqrt(176))**2.\nAnswer: -531 - 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + c**2 - 2. What is h(-3)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 8*a + 17. Let i be x(8). Suppose q + 2*q - i = 0. Is 7 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y + 1. Let k(w) = 4*w**2 + 2*w - 2. Let l be ((-6)\/(-4))\/3*10 - 3. What is l*h(t) + k(t)?\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 36534785134 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3060 + 2968 = -23*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/((-784)\/(-21)))\/((-3)\/4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -465, -1799, -4003, -7077?\nAnswer: -11021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 22.4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from acbbfa. Give prob of sequence fb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -c0 (base 16) in base 10?\nAnswer: -192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, 2203, 5 in ascending order.\nAnswer: -46, 5, 2203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 905495 a multiple of 470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 126137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/7)*j\/((((j\/j**(-1))\/j)\/j*j)\/j))\/(j*((j\/j**(-2)*j)\/j)\/j*j*j*((j\/((j\/j**(-4))\/j))\/j)\/j) assuming j is positive.\nAnswer: j**(8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7445 * -1.2.\nAnswer: 8934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-1*(sqrt(3) + 1).\nAnswer: -sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 317483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 875 and 1715?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1031 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/4383 and -85\/1948.\nAnswer: 17532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 14) to base 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -38, -254, -680, -1358, -2330, -3638, -5324?\n\"Answer: -7*n**3 - 63*n**2 + 22*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -434118696*f**2*m*o**2 - 1054*f*m*o + 943*f*o**2 - 3*f*o + o**2 - 3 wrt f.\nAnswer: -868237392*m*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 17, -66, -8, 0.05, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (62\/(-12))\/(5\/(-30)). Let z(k) = -2 + 29*k - i*k + 0. What are the prime factors of z(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-42)\/28)\/(1\/4). Let m be 1\/((1\/z)\/(18\/54)). Let j(v) = 3*v + 1. Calculate j(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + -1)*3 + -2 + sqrt(700).\nAnswer: -5 + 13*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.29 - 0.29. Put -1, x, 9 in increasing order.\nAnswer: -1, x, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90)\/21 + (-2 - -6).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -3 - 0 - -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 - (-37 - -7)) + (2 + -6 + 8 - 133).\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/12 + 2\/(-3). Let l(q) = v*q + 0 - q + 1. Calculate l(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((6\/45)\/((-4)\/(-20))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10904001*g + 24596127?\nAnswer: -10904001","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38041282 is divided by 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1112.13493 to the nearest ten.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264 = -73*m - 171 + 272. Which is the nearest to -1? (a) 10 (b) 0.16 (c) -5 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7478.76 decades in centuries?\nAnswer: 747.876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.431 - -0.031. Which is the fourth biggest value? (a) -2 (b) -3\/8 (c) -0.3 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1414\/(-1212)*90\/56.\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -27, 45270, -5, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1331*a**3 - 22*a**2 + 59969*a wrt a?\nAnswer: -7986*a - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3 = -5*o, -11 - 13 = -5*p + 4*o. Suppose -3*z + 134 = 5*m, -p = z + z. What is the highest common divisor of 14 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7211 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 34?\nAnswer: -10.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 18 = k, -3*k + 6*j - 20 = 4*j. Let p = 15 + k. Let i = -200 + 227. Calculate the remainder when i is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 746.7734 micrometers?\nAnswer: 0.0000007467734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 18*q**2 + 4. Let t(s) = 2*s**3 - 19*s**2 - 5. What is 4*t(a) + 5*w(a)?\nAnswer: 3*a**3 + 14*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*o**3 + 27*o**2 - 58*o**2 + 31*o**2.\nAnswer: -9*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 359 + 190. Let r = o + -91. List the prime factors of r.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91021295383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o\/(o\/o**(-10)))\/o))\/(o\/(o*o*o**(1\/13)*o))*(o**(1\/4))**(-24))**(3\/14) assuming o is positive.\nAnswer: o**(45\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 3*r - 27, 0*t + 4*t - 43 = -5*r. Suppose r*v - 2*v = 20. Suppose 2*b = -2*q - 10, 4*q - 2*b - 9 = 1. Solve q = h - 3*c, -v*h + c = h - 14 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttw when three letters picked without replacement from pwwbhptttcww?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2186 is divided by 595.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6686300, 13372622, 20058944?\nAnswer: 26745266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(4 + (sqrt(88) + 6*(sqrt(88)*1 + sqrt(88)))\/(sqrt(64)\/sqrt(72) - sqrt(8))) + 1)**2.\nAnswer: -195*sqrt(11) + 16831\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8123 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sr when two letters picked without replacement from {w: 1, s: 2, r: 4, t: 1, q: 1}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**2\/p*p)\/p*p)\/p)**(-38))**36*((p\/(p\/(p\/p**(1\/2)))*p)**(-2\/23))**(-50) assuming p is positive.\nAnswer: p**(-31314\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64)\/80*2*1\/(-16).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 976*g + 105270 = -1326*g + 487*g for g.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 11*l**2 + 10*l + 9. Let j be p(13). Factor -4*v**4 - 4*v + 8*v**3 + 8*v**2 + j*v**5 - 4 - 953*v**5 + 472*v**5.\nAnswer: -4*(v - 1)**2*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and -1.69258.\nAnswer: 0.30742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 + 28. Let f(i) = 2*i**2 + 0*i**2 - 2*i**3 - 1 + i**3. Calculate f(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 489*u + 2429*u + 223*u - 191 + 191 to z*u + r and give z.\nAnswer: 3141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2*(4 + 5*(-4 + sqrt(304) + 3 - (-2 + sqrt(304))*5)))**2.\nAnswer: -32640*sqrt(19) + 496804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -4*a - 10017 + 44377, 0 = 5*a - 2*n - 42917. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*d - 33 = -53*d + 100*d for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.01 - -2.01. Let t = 1.7 - l. Let v = 299.3 + -299. Sort v, -2\/7, t.\nAnswer: t, -2\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of n**3\/3 + 4*n**2 + 6*n - 1. Suppose 9 = w + 5*m, w = -5*m + 9*m. Suppose 2*a + 4*i = w*a, -2*a - 24 = 4*i. Give z(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -j**7\/1260 - j**6\/720 + j**5\/360 + j**4\/144 + 24*j**2. Find n such that z(n) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 38\/1547?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1176146 is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -82452.7 - -85976. Round a to the nearest 10.\nAnswer: 3520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*r = -4*n + 1, r = 4*n - 11. Suppose -3 = -3*b + n. Suppose 2*z - 10 = 0, -b*z - 13 - 20 = -j. Does 16 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of z**3\/3 + z**2\/2 - 3*z + 6. Let o(b) = -5*b**2 - 6*b + 16. Determine 4*o(r) + 22*u(r).\nAnswer: 2*r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/(-6)*148*16\/640 and -53\/8226?\nAnswer: 82260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000029894 rounded to 6 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 w, and 1 q when three letters picked without replacement from {g: 1, w: 8, q: 7}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 19*l**2 + 17*l + 20. Let s be u(18). Let z(r) = -111*r**2 + r + 4. Let n(w) = 111*w**2 - 3. Let a(o) = s*z(o) + 3*n(o). Does 36 divide a(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3622036095.\nAnswer: 3, 5, 8943299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 5:14 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.1 (b) 8024 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 6*c**2 - 2*c - 5. Let o be j(-6). Suppose 0 = 3*w - o - 5. Let n = w - 4. Solve n = -5*y - 5*h - 35, 2*h - 14 = 2*y + 3*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*10*(-57)\/76*(-4)\/3.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -415*c**2 + 5*c + 34 wrt c?\nAnswer: -830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 12) in base 2?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of -q**5\/60 + 11*q**4\/24 + 7*q**3 + 797*q**2. Give d(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/14 - 113\/7. Let v be k\/(-9) + 18\/81. Suppose -22 = -v*o + o. Does 22 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*l - 223 = 473. Calculate the remainder when 163 is divided by l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(2*d**2 + 0*d**2 - 4*d**2)*(-4 + 5 + 10)*(4*d - 5*d + 3*d).\nAnswer: -44*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d + 11*d - 21 = 0. Let j = -31 + 27. Is -25*d*j*2\/8 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*i + 1 + 23. Let n(q) = 3*q. Let m(z) = z**2 - 5*z + 1. What is i*m(u) - 5*n(u)?\nAnswer: -2*u**2 - 5*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(3\/5))**(-40\/9))**(-34) assuming y is positive.\nAnswer: y**(272\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -349 or 370\/61?\nAnswer: -349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3256 - -3231. Put 1, k, 4, 0 in ascending order.\nAnswer: k, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 389 + 846d7?\nAnswer: 84a60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.14 (b) -123 (c) 1\/3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 226112912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 - 100 + 27*x + 35 + 36.\nAnswer: 27*x + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1439336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4232229 to the nearest integer?\nAnswer: 2057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -674907?\nAnswer: 674912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-6\/19))\/g*g*g*g\/(g\/(g*g*g\/(g*g**(4\/9)*g)*g))*g)**(-1\/18) assuming g is positive.\nAnswer: g**(-833\/3078)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11995 divided by -189.\nAnswer: -11995\/189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 592?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -38*q**3 - 31*q**2 + 17*q - 17. Let t(j) = -13*j**3 - 10*j**2 + 6*j - 6. Let h(s) = -6*n(s) + 17*t(s). What is the third derivative of h(b) wrt b?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 17\/4 of a milligram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p\/(p\/p**(-10\/11)))\/p)*p)\/p)**(-7\/10)\/((p\/p**(-10))\/p)**6 assuming p is positive.\nAnswer: p**(-3412\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + v + 4)*(-1 + 2*v**2 + 1)*(-4 + 1 - 1).\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(405) + (sqrt(405) - ((-1 + sqrt(405))*2)**2 - sqrt(405)) - sqrt(405)) + (sqrt(405)*1 + 1)**2 + (sqrt(405) - (-1 + -2*sqrt(405))**2) + -2.\nAnswer: -2843 + 63*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 9:19 PM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 38\/75 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 386945 (b) -298 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -342452, -342390, -342280, -342116, -341892, -341602, -341240, -340800?\n\"Answer: b**3 + 18*b**2 + b - 342472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*b - 4. What is the common denominator of ((-10)\/(-30))\/((-2)\/30) - (-2486)\/440 and 758\/84 - b\/(-6)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -523 + 526. Let i(g) = -a*g + 592 + 566 - 1126. Let h(l) = -2*l. Calculate i(h(k)).\nAnswer: 6*k + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 503556 and 1740?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-5439)\/(-15) - 2)*(-15)\/(-3).\nAnswer: 3, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -151, -583, -1373, -2575, -4243, -6431, -9193, -12583?\n\"Answer: -9*a**3 - 125*a**2 + 6*a - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + (-1 + -1)\/2. What is the remainder when -4 - y - -44 - 2 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -12400*f + 38316000. Give s(3090).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -18*g + 9 + 8*g + 2 + 9*g. Let q be i(8). Let f be (4\/3)\/((-8)\/(-108)). Calculate the greatest common divisor of q and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2 + v + v + 0*v + v**3. Let c = 29 - 25. Let g(u) = -2*u**3 - 3*u - 3. Calculate c*g(t) + 6*m(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43911483?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 16 = -4*z. What is the smallest common multiple of z and 36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -659 divided by -251773\nAnswer: 659\/251773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, f: 1, e: 3, u: 1, w: 1}. Give prob of sequence ei.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 65*b + 66*b + 2*b**2 - 10 + 66*b - 50 - 7 wrt b?\nAnswer: 4*b + 197","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c - c**2 - 5*c**2 + 9 + 2*c**2 - 2*c**2 - 7. Let w(f) be the second derivative of -f**4\/12 + f**3\/6 + f**2\/2 + 2*f. Determine 3*w(j) - y(j).\nAnswer: 3*j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 y when two letters picked without replacement from {h: 1, y: 3, k: 1, x: 1, v: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(-21))\/((-2)\/(-3))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -72, -133, -218, -327?\nAnswer: -460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 278*q - 287*q + 369 for q.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*z + 3 - 3 - 4*z + z + 4*z + (4*z - z - z)*(1 + 0 - 3) - 2*z - 3*z + 4*z)*(-4*z + 0*z + 2*z).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/6 - (-10714)\/(-33). Let d = 328 + c. Let w be 8\/3 + 4\/(-6). Solve -2*s - 11 = -7*n + w*n, -n + d*s = 5 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22997477831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 119746 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5462672 is divided by 42.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 13 = -58. What is the remainder when 86 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 3*z + 348, -4*w + 4*z - 616 = -9*w. What is the greatest common divisor of w and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64744, -129469, -194194, -258919?\nAnswer: -323644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of l**7\/840 - l**4\/6 + 2*l. Let a(t) be the third derivative of y(t). Let j(z) = z**2. Calculate j(a(u)).\nAnswer: 9*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(5 + 0 + 4)*(1 + 1 - 3)*(7*t - 42*t + 11*t)*(0 + 4 + 11).\nAnswer: 3240*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(((i*(i**(2\/3)\/i)\/i)\/i)\/i))\/(i*i**(3\/2)\/i))**(-19)*i*i\/i**(-7)*i**7*i**(1\/6)*i*i*i*i**(-2\/11)*i*i assuming i is positive.\nAnswer: i**(-457\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + 47. What is the least common multiple of p and 24?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 8*s**2 - 5*s - 15. Let m be a(7). Let b be (1 + 0)\/(-2 - m). Let h(g) = 8*g - 1. What is h(b)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.007 and -0.1.\nAnswer: 0.3007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 3:39 PM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*i + 3 - 1 + (-2 + 0 + 1)*(-i - 5*i + 3*i))*(2*i**3 - 2*i**4 - 2*i**3).\nAnswer: -10*i**5 + 4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 11:16 PM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -1\/6*a**7 + 0*a + 7\/12*a**5 + 5\/12*a**4 + 0 - 5\/112*a**8 + 34*a**2 + 1\/24*a**6 + 0*a**3. Find w, given that s(w) = 0.\nAnswer: -2, -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2\/4 - 39*z + 159\/4.\nAnswer: -3*(z - 1)*(z + 53)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o + 26851 - 22581 = 102658. Calculate the least common multiple of o and 16.\nAnswer: 43728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, s: 1, y: 2, r: 5, l: 6, k: 1}. Give prob of picking 1 r, 2 l, and 1 s.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 9. Suppose o*m = 4*m + 85. Calculate the remainder when 31 is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -7 (b) -5 (c) 2\/9 (d) -1\/6 (e) -2252\/11 (f) 27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -5835*p - 1768000. Determine m(-303).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -5*f + 10. Suppose 4*x + s - 31 = f*x, 20 = 4*s. What is the remainder when 36 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157327679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -u**3\/2 + 177*u**2 - 20886*u - 140. Determine v so that t(v) = 0.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 894 a factor of 14484588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 479240648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-293*q + 152*q - 55*q - 58*q)*(76*q**2 - 46 + 46).\nAnswer: -19304*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4579, -9157, -13735, -18313, -22891, -27469?\n\"Answer: -4578*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-294)*-7*(-3)\/25\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1342 - 1334. Let h(s) = s + 3*s - 9*s**2 + s**3 - s + 11 + 2*s. Give h(j).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 8, 6463 in descending order.\nAnswer: 6463, 8, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p + 4*p**2 + 14 - 8*p**2 - 5*p + 5*p**2. Let m be o(7). What is the third derivative of 53*u**2 + u**3 - u**3 - m*u**6 - 20*u**2 wrt u?\nAnswer: -4200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 3*c**4 + 840*c**3 + 53496*c**2 - 749856*c + 1278960 = 0.\nAnswer: -146, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**2 - k + 1. Let w(q) = -q - 4. Let m be (-1)\/(18\/15 + -1). Let s be w(m). Calculate r(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 11:59 PM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 112247 (base 8) in base 13?\nAnswer: 14424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10236023 divided by -3.\nAnswer: -10236023\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*b + 68 = 0, 0*b + 12 = -3*b. Let s = h - 39\/4. What is the fourth smallest value in 2, -3\/7, s, 2\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2 - -1.7. Let i = c + -2. Let y = 1 - -1. Put i, 1, y in ascending order.\nAnswer: i, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m = -21*m - 2*h + 4417, -4*h - 5876 = -4*m. Calculate the remainder when m is divided by 482.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77864822341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -3*m + 2*s, -2*m - 2*s = -5*s + 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 406709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3886 divided by 3886.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 0) + 3*(-33 - -4). Let v = 88 + t. What is the greatest common factor of 69 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 89 - 11 = 0. Suppose 5*o - 3*o - 34 = 0. Calculate the remainder when c is divided by o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49608 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2280, 9448, 21424, 38232, 59896?\n\"Answer: 4*x**3 + 2380*x**2 - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -4 + 46 - 482*f + 457*f - 3. What is the hundreds digit of v(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 51*l - 16 - 68 = 54*l, 8*l - 3*l + 283 = -7*p for p.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 91\/2 of a centimeter in millimeters?\nAnswer: 455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - m - m)*(14*m - 17*m + 16*m) + 3*m**2 + 2*m**2 - 2*m**2.\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of 11*h**7\/7 + h**3\/3 + 33. What is the third derivative of v(b) wrt b?\nAnswer: 1320*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = v + 16, 5*v - 223 = -c - 247 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -784 (b) 0.3 (c) 53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 114 and 3008118.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5 = r + 6, 5*c = -2*r. Solve 8*m + 24 = c*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((-5*-1*sqrt(567) + -3 - (3 + sqrt(567) + -2*sqrt(567) + -4)) + -2)*2)**2.\nAnswer: -1728*sqrt(7) + 81709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4211, -16848, -37911, -67400, -105315, -151656, -206423?\n\"Answer: -4213*q**2 + 2*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69.84173ug to nanograms.\nAnswer: 69841.73","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n - 1. Let p(r) = -r**2 - 20*r. Let x(h) = 3*l(h) + p(h). Let g be x(-15). Calculate the greatest common divisor of 9 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + 1. Let g = -31 - -42. Suppose 5*q + 48 = g*q. Calculate the smallest common multiple of a and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-399)\/(-21) + (9 - (1 + 53))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -13.4. Let x = 4.4 + -0.4. Which is the closest to 1? (a) j (b) -0.2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 10*d = 32. Let y(l) = -3*l**3 + 5*l**2 + 1. Let f be y(2). Sort d, f, 2 in ascending order.\nAnswer: f, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2462 = 98*w + 1482 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from onoononooon. What is prob of sequence nnn?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pxxxprrprxrxpp. What is prob of sequence xprx?\nAnswer: 50\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = -25 + 9. Suppose 2*m - 2*s + 2 - 30 = 0, 35 = 5*m + t*s. What is the highest common divisor of m and 207?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -23.\nAnswer: -9\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1908)\/9*(-2)\/8. Suppose -3*z - 3*l = -2*z - 15, -3*z = l - s. Solve -5*c + 7 = -z for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9232 minus 324.6254?\nAnswer: -323.7022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s + 27 = 3*m + 4*s, -4*s - 32 = -4*m. Let p be (-1)\/(2\/(-6)) - m. Let r be 25\/10 - (-1)\/p. Calculate the greatest common divisor of 2 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 + 18. Let t = 8 + y. Suppose -9 = -3*b, -3*v - t*b + 11 = -16. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, -0.483, 2\/9, 2, 0.2 in decreasing order.\nAnswer: 2, 2\/9, 0.2, -0.483, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -3, -2 in increasing order.\nAnswer: -5, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x + 28. Let b(n) = -4*n - 10*n - 18*n**2 + 11 - 11*n - n**3 + 9*n. Let p be b(-17). Let c be a(p). What is the greatest common divisor of 51 and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15)\/(-28) - 1\/4. Suppose 6*l = 2*l + 36. Let t be (-1 - (-6)\/l)*-1. Put t, -2\/13, m in descending order.\nAnswer: t, m, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-1)*10*2852\/(-3565)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 38320*y + 153300. Give f(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 100001?\nAnswer: -100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9198 - 5836. Let p = t + -57132\/17. Factor 70\/17*a + 2\/17*a**3 - 50\/17 - p*a**2.\nAnswer: 2*(a - 5)**2*(a - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2. Let h(q) be the second derivative of 5*q**3\/6 - 5*q. Determine h(r(z)).\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 2*u - u**2)*(4*u**2 + u**2 - 3*u**2) - 7*u + 7*u + 11*u**4.\nAnswer: 9*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 - -2 - 698\/7. Let i = v + 93. Is -192 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**31*x*x\/x**11*x assuming x is positive.\nAnswer: x**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 3:48 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*w = -25*w + 5. Let r = -25 + 29. Sort -4, 5, w, r.\nAnswer: -4, w, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 4. Let i be p(0). Suppose -835 - 177 = -i*f. Suppose -14*o + 90 = -10*o - 2*a, o - a = 22. Calculate the greatest common factor of o and f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-114)\/(-76))\/((-1)\/2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2502 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3811*q + 31954?\nAnswer: 3811","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, n: 2}. Give prob of sequence nn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 6:15 AM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -405 = 2*m + 2*f - 371, 0 = 2*m - f + 19 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 1:20 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 571720602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p - 2. Let y be r(-6). Let j be (1 - 0) + -5 + y. Let v = -4434 + 4438. Which is the nearest to -1? (a) v (b) -4\/7 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/5)\/(-2)*10\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-2)*15\/(600\/(-16)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -20, -3, -7, 110, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1503025 is divided by 69?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8 - (0 + -4))\/14. Which is the nearest to 0.1? (a) 0 (b) k (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, d: 1}. Give prob of sequence ndn.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50 and 134940.\nAnswer: 674700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 91 + -84. Let r(q) be the first derivative of 0*q - 4\/7*q**v - q**3 - 3 + 0*q**6 + 0*q**4 + 0*q**2 + 0*q**5. What is the third derivative of r(c) wrt c?\nAnswer: -480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*4562.72.\nAnswer: 41064.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1241, -2479, -3731, -5003, -6301, -7631?\n\"Answer: -j**3 - j**2 - 1228*j - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*l**2*r**4 - 21*l**2*r**3 - l**2 - 19*l*r - 3 wrt r.\nAnswer: -120*l**2*r**2 - 126*l**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 + (-39)\/(-6))\/((-6)\/(-912)).\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 19*y**2 - 14*y - 44. Calculate x(-3).\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 2\/19 (b) -1721 (c) -1\/9 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -120935 or 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001451378479 to six decimal places.\nAnswer: 0.000145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/54)\/((-2*1)\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12103493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 289 in 4, 1, 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27015 - 38550. Are d and -11534 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-550) + 0)\/(-12 + (-1342)\/(-110)).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*((-24)\/6)\/4*-1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1d757 (base 16) to base 14\nAnswer: 31d8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23274 - -51271. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2577 + (-16)\/(-7) + (-2)\/7 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 3*s + 2622 = 2*d, 3*s = 5*d + 3264. Is -654 at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11895529 to the power of 1\/3, to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -633 (base 11) to base 12.\nAnswer: -536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -2. Suppose 4*x - 4*v = -o*v + 12, -4*x = v + 3. What are the prime factors of (-3)\/(x - 6\/16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 59 = -15. Let v = q - 38. Suppose 4*y - 44 = m + 2*m, -5*y = m - v. Does 8 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110001110000 (base 2) to base 14\nAnswer: 1236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhuuhuuuuu. What is prob of sequence uh?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5ca69 + d6a?\nAnswer: 5d9d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c955 + b?\nAnswer: 1c963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o + 10. Let y be g(-8). Suppose -8 = -m - y. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -317 = -4*s + 3*v, -s - 254 = -4*s - v. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 3\/17 (b) -2\/6863 (c) 3\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 53, -211 in decreasing order.\nAnswer: 53, 5, -211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 l when four letters picked without replacement from bbbbbblbbblbb?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/20)\/(4\/(-320)). Solve -5*y + 6 = -4*s - 3, 3*s = -4*y + p for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - f + 2*f - 205, -5*f - 151 = -3*j. Let k be (1\/(3\/2))\/(j\/189). Solve -3*d - 15 + k = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/1)\/(60\/15)*1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-15)\/(-2))\/((-18)\/(-48)). Let x = o - 3. Calculate the remainder when 33 is divided by x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/9)\/r**(-1\/8))\/(r**1)**36*(r**1)**(3\/22)*r**(1\/3)*r*r\/(r\/(r\/(r*r\/(r*r\/(r\/r**(-1\/4)))))) assuming r is positive.\nAnswer: r**(-27623\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l - 2*l - 3*l + (462*l - 2265*l - 1760*l)*(0 + 2 - 4).\nAnswer: 7125*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21023232 + -111?\nAnswer: -21030003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 = -3*y + 4*w, 15*y = 20*y - w - 230. Solve -2*x + y - 55 = 2*f, 2*f + 11 = -5*x for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12843 - -18496. What are the prime factors of p?\nAnswer: 5653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 363*f - 164*f + 182*f.\nAnswer: 381*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/48)\/((-1)\/20)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-4) - 3)*(-276)\/9. Suppose 47*y - l*y = 16. Sort y, 11, -1 in ascending order.\nAnswer: -1, 11, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a day in minutes?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8550, 12, -5, -33 in decreasing order.\nAnswer: 8550, 12, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a micrometer in nanometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - -7. Suppose -2*p - 4*r = 3*p - 46, 2*r = -3*p + 28. What is the greatest common divisor of y and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -3*m**5\/5 - m**4\/12 - m**3\/6 + m. Suppose 0 = -5*z - 0*z + 225. What is the remainder when z is divided by a(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4155 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**2 + 18*z + 2. Let s be x(9). What is the third derivative of 13*h**2 + 16*h**s + h**3 - h + 22*h**2 - 23*h**3 wrt h?\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {r: 5, n: 2, g: 4}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -89.3 - -86. Let q = -3.5 - l. What is q rounded to 0 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 189, 377, 565, 753?\n\"Answer: 188*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -352 + 374 - (37 - -1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {b: 1, x: 12}?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 31513 times -3422\nAnswer: -107837486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 21*j - 2*j**2 + 5*j**2 - 47*j + 29*j + 11 + 0*j**2. Let p(m) = -m - 9. Let o be p(-4). Let v(x) = 2*x**2 + 2*x + 7. What is o*y(n) + 8*v(n)?\nAnswer: n**2 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42795 and 135.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 5*i - 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 3*n - 1 = -8, -8 = 2*n for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 3882837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 43031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 2:37 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1*8 - (13 + (-4 - 26566))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/2 or -1.2191?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -42144 + 221300?\nAnswer: 124101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 96829, 193679, 290527, 387373, 484217, 581059?\n\"Answer: -x**2 + 96853*x - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/32 and -45\/12752.\nAnswer: 25504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a - 17. Let r be o(-9). Let g = 12 + r. What is the remainder when 5 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 - 208 = -4*a. Let b be (8 + -4)\/((-4)\/(-6)). Let d be 62\/b + 3\/(-9). Calculate the greatest common factor of d and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2440387600 to the nearest 1000000.\nAnswer: -2440000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 1 = 0, d - v - 20 = 13. Suppose -3*j = -0*j - 5*f - d, 5*f = -5*j. Suppose -3*c + 61 = -2*c + 5*h, -j*c + 4*h = -196. Is 17 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 40*d**3 - 3*d**2 - 4*d + 11. What is the hundreds digit of r(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40.6 - 38.6. Is 114 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, q: 4, p: 4, o: 2, g: 3, j: 1}. Give prob of picking 1 h and 1 j.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**16*c*c*c)\/(c**(-8)*c))\/(c*c\/(c*c*c**(2\/27)*c))**(4\/7) assuming c is positive.\nAnswer: c**(5030\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -120322\/235 + 31836183\/3290. Let p = -9159 + v. Find the common denominator of 125\/6 and p.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z + 1. Suppose -5*f + o - 6*o = -40, 5*f = 5*o + 40. Let c be 8\/(-32) - -7 - (-2)\/f. Let p be (-16)\/(-56) + 33\/c. What is k(p)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3\/7 - 69*i**2\/7 - 429*i\/7 - 363\/7.\nAnswer: -3*(i + 1)*(i + 11)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/(-108)*9\/(-60)*2\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12*((-2)\/4 - -1). Suppose k = 6 - 4. Let g be 2 - (-34 + k)*2. Calculate the highest common factor of p and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1086722729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-9 + 4 - (0 - 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 5, 0 = -3*v + 3*l - 15 + 9. Find the third derivative of 29*o**3 + 137*o**2 - v*o**5 + 236327 - 236327 wrt o.\nAnswer: -180*o**2 + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21204587\/101977470 - -2\/809345. Let a = d + -1\/126. Determine h, given that -a*h**2 - 3\/5*h + 0 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5344 - 0.3.\nAnswer: 5343.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 24*b**2 + 20*b + 68. Let p be z(-25). Solve 19*r - 136 = -p for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45191.\nAnswer: 45191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 45\/4*z - 3\/4*z**3 + 0 + 21\/2*z**2 = 0?\nAnswer: -1, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17266.\nAnswer: 2, 89, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*x + 10 - 126*x - 2 - 8.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - (9\/(-45) + (-14)\/5). Suppose -d = 3 - l. Solve m - d = 3*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4778 + 13*t**2 - 4778 - 13*t**2 - 8*t**3.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/17, 2\/5, 212, -380.\nAnswer: -380, 3\/17, 2\/5, 212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00416834106 to 6 decimal places.\nAnswer: -0.004168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -664 + 663.8. Suppose -34 - 14 = -3*o. Let q be (4\/o)\/((-1)\/4). What is the nearest to -0.1 in q, z, 1\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27793 - 27767. Solve -5*v - 50 = -z - a, 20 = 5*z for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*p + p, 2*r + 4*p - 68 = 0. Calculate the remainder when 74 is divided by r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 8*a**2 - 12*a + 9. Let c be o(-9). Let g be (-1*2)\/((-2)\/(-7)). Let x = 2 - g. Calculate the highest common factor of x and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 + 20.05. Let h = 0.34 - n. Let z = h + 0.11. Which is the closest to -1? (a) 0 (b) 0.5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 91\/1*(-1 - -2). Let p be ((-44)\/(-10))\/(38\/(-285)). Let r = p + a. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.978 + 229.878. Let p = x - 229. Which is the closest to -52? (a) -0.3 (b) p (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96, 193, 290?\nAnswer: 387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -c**3\/15 + 7*c**2\/10 + 98*c\/5 + 647. Let j(v) = 0. What is v?\nAnswer: -7, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 194\/22 + (-2052)\/228. Let j be 1\/9 - 11\/180. What is the closest to -2\/7 in j, -0.5, f, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -550 + 4544?\nAnswer: 3554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 428 and 845446376?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -72, -85, -124, -201, -328, -517, -780, -1129?\n\"Answer: -2*v**3 - v**2 + 4*v - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -159*t**2 + 7*t + 6 - 3 + 149*t**2. Let y be l(-3). What is the remainder when 1\/(106\/y + 1) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 176?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13120032 + 104114?\nAnswer: -13010413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 6:45 PM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*r - 15*r = -27486. Let p = 513 - r. Solve c - 15 = -p*j + 2, -3*c = 5*j - 16 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - -4. Suppose -21 = -m - 2*j, 0*m + 5*m = 5*j + 75. Let o = m - 8. What is the least common multiple of o and w?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21151 - -4?\nAnswer: -21143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, h: 4, u: 2}. Give prob of sequence uu.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16\/5*m**2 - 16\/5*m**4 + 4\/5*m**5 + 4\/5*m + 24\/5*m**3 + 0.\nAnswer: 4*m*(m - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 0*l - l)*(-98 - 17 - 9 - 18).\nAnswer: 142*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.45 or -85?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -289*l**3 + 604*l**3 - 320*l**3.\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, f: 2, s: 1}. Give prob of picking 2 f.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*a*q**3 - 3*a*q**2 + 64*a - 11546*q**3 + 2*q**2 wrt a?\nAnswer: 8*q**3 - 3*q**2 + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 58 + -52. Solve 0 = 2*v - 3*o + x, -v - 2*v + 2*o - 9 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 78*g**3 - 18*g**2 + 119*g + 8. List the prime factors of x(6).\nAnswer: 2, 8461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 77212775 to the nearest 1000000.\nAnswer: 77000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/30)\/(2\/(-18)). Let q = 129\/40 + r. Which is the third biggest value? (a) -2\/7 (b) -1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/822831 and -3\/5.\nAnswer: 4114155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -3*d**3 - 55 + 0*d + 0*d**2 - 1\/5*d**5 - 5\/2*d**4. Factor z(m).\nAnswer: -m**2*(m + 1)*(m + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 9.357533 centuries?\nAnswer: 0.9357533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3146759851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-7))\/(17 - (-11711)\/(-686)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4*v**2 + 6*v - 6. Suppose -o + 12 = 5*o. Let b(k) = k**2 - 9*k - o + 3 + 8*k. Let a be ((-6)\/5)\/(10\/(-50)). Calculate a*b(c) + m(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 365?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 114, 248, 456, 750, 1142, 1644, 2268?\nAnswer: 3026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 30\/4*(24\/(-5) - -4). Let u be (38\/v)\/((-4)\/36). Suppose 49 - u = -4*s. Solve -s*l - 2*l - 8 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2 + 2. Let n = -22 - -28. Let k(m) = -2 + 4*m + 2*m**3 + m**3 - 2*m**3. Let w(g) = g - 1. Give n*w(d) + v*k(d).\nAnswer: -2*d**3 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-720)\/(-36))\/10)\/((-2)\/12).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -23*q**2 - 5056*q - 14967. What is m(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 + -1 + 1775 + (38 - 42).\nAnswer: 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -4*g**3 + 6*g**2 - 3*g. Let t(p) = p**3 - p. Let u(l) = -i(l) - 3*t(l). Let y be u(5). Suppose y*d - 3*k = 698, -5*k = -3*d - 4*k + 418. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -162 + 165. What is the second smallest value in 5, o, 5\/6, 23?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 1:16 PM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*r = 3*p + 698 + 655, -r + 41 = -4*p for r.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 1. Suppose 0 = -n*s - 5*s + 25, 0 = 2*j - 4*s + 14. Let v = 26 - 24. Solve v*f - 4*o - 2 = 0, -3 = -3*f + o + j*o for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 3.4, 2, -2\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11163 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h. Let m(p) = 15*p - 2. Give 2*a(u) + m(u).\nAnswer: 13*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 6:58 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 548*o = 546*o + 12 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 9 = -y, 3*c + 0*c = -3*y - 18 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30866\/440 - 71) + 5\/4.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, -1546016, 12, 4 in descending order.\nAnswer: 12, 4, 1\/7, -1546016","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 4:20 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 10*w**2 + 12*w - 534. Give z(19).\nAnswer: 3304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4 = -2*t, -4*h + 5*t = -8*h - 8. Let w = 1082\/5 + -4443\/20. What is the common denominator of (-258)\/56 + h\/8 and w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2677 - 909 - 893 - 894 - 3*a + a. Let r(v) = 4*v + 37. What is 6*r(o) + 11*s(o)?\nAnswer: 2*o + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*i + 33775 = -88*i. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/50888985 and 131\/420?\nAnswer: 203555940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -114195.2 minus -0.3?\nAnswer: -114194.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5889 by -385.\nAnswer: 5889\/385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - -36) + -9 + 6 - 32.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -414720, -414457, -414194, -413931?\nAnswer: -413668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2*m**2 - 2 + (2*m - m - 2*m)*(m + m + 2*m).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72100, 144194, 216286, 288376, 360464, 432550?\nAnswer: 504634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 662*r + 2*r**3 - 215*r - 239*r - 208*r.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -697 - -754. What is the greatest common divisor of 95 and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -83, -155, -227, -299?\nAnswer: -371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10 + dd?\nAnswer: ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -20*r + 27. Let d be j(-7). Suppose f - 4*i = 29, 0 = -4*f + 4*i - 5*i + d. What is the remainder when f is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 31743*f - 444240. Calculate q(14).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cce when three letters picked without replacement from xeexxcxeexc.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 693182322?\nAnswer: 2, 3, 7, 785921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2460*r + 875 = -2435*r for r.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -757031 (base 9) to base 13.\nAnswer: -12a53a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 5067677 and 5067685 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*n - 486 = -10*n + 18*n for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 7) in base 4?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 11*d**2 + 3*d - 49. Let q(p) = p**2 + p + 2. Let v(r) = 6*q(r) - t(r). What is the derivative of v(g) wrt g?\nAnswer: -10*g + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34216)\/14196 - ((-36)\/39)\/(-1)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -131 + 1348. Let n = 1216.7212 - s. Let j = n - -0.28. What is j rounded to 4 dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/9)\/(14\/(-21))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1658160\/620400)\/(42\/20)?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1151 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 5*q - 123 = 0, 5*n = -5*q + 103 + 102. What is the remainder when 327 is divided by n?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 15*i - 13. Let l be a(12). Let f = -14 + l. Suppose 0 = -3*o + 15, -x + f + 16 = 2*o. What is the remainder when 26 is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f**(-1)\/f)\/f))**(-3\/25) assuming f is positive.\nAnswer: f**(-12\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 692 by -1.\nAnswer: -692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u**2. Let w(q) = 3*q**2 + 5*q. Let p(g) = -g**2 - g. Let z(n) = -5*p(n) - w(n). Calculate b(z(f)).\nAnswer: -12*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.0859105nm?\nAnswer: 0.0000000859105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 5*p - 11*p. Suppose 6*r - 132 = 2*r - p*c, 3*r + 4*c - 106 = 0. Does 30 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -16*u**2 - 19*u. Let t be n(-1). Let s(h) = -26*h**3. Let w(q) = 9*q**3. What is t*s(f) + 10*w(f)?\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 488416\/165 + -8878\/3. Let d = p + -4\/11. Let i = -5 - -3. Which is the smallest value? (a) d (b) i (c) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -6 - 3\/4*d**4 + 0*d + 0*d**2 + 3*d**3. Find the third derivative of s(b) wrt b.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.74, 0.27, 249?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/(-3080)*-11)\/(1\/(-63))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -6*r + 5. Let t(g) = -3*g + 2. Calculate -6*i(a) + 13*t(a).\nAnswer: -3*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.8 + 1. Let x(c) = -4 + 26*c - 16*c**2 + 15*c**2 - 30*c. Let m be x(-2). Which is bigger: m or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 368\/9 - 679\/18. What is the common denominator of x and -69\/296?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -4*t**5\/5 - 6*t**4 - 44*t**3\/3 - 12*t**2 - 421. Factor r(i).\nAnswer: -4*i*(i + 1)*(i + 2)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7211895.\nAnswer: 3, 5, 167, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 24965837 a multiple of 719?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -280408 - 1?\nAnswer: -280409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**3 - 386487*i**2 + 1546032*i + 4637988 = 0. What is i?\nAnswer: -128833, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 13\/26 + (-359639)\/(-18) - (-4)\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 w when two letters picked without replacement from aaxxxavaxw?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 10 + 8)*(-2*p**3 - 2*p**3 + 5*p**3) + 3*p**2 + 516*p**3 - 3*p**2 - 525*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5a (base 15) in base 13?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 207 - 143. Let t = -221 + k. Let v = 156.99999879 + t. Round v to seven dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttwtwwewweewf. What is prob of sequence ewf?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 21, 611, 2307, 5661, 11225, 19551, 31191, 46697?\n\"Answer: 92*i**3 + i**2 - 57*i - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 183864120 and 2112?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -23*y**6\/5 - y**4\/12 - 650*y**3\/3 + 353*y. What is the second derivative of s(q) wrt q?\nAnswer: -1656*q**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -543*r - 5422. What is j(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that z**3 - 16*z**2 - 631*z - 1190 = 0.\nAnswer: -17, -2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 5*u**2 - 8*u - 37. Let n be s(6). Let x = 95 - n. Let f = -0.4 - -0.1. Which is the closest to -2\/5? (a) 7 (b) f (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1293391 to the power of 1\/2, to the nearest integer?\nAnswer: 1137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 8108.\nAnswer: 1\/2027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 300 + 431599?\nAnswer: 431899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4202926 and 686192.\nAnswer: 33623408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbp when three letters picked without replacement from bbbppbpb.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 3:21 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8 - -30) + -44 - -2) + 8.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 3)\/((-2)\/(-3)). Suppose -5*a = -4*q - 0*a + 16, 5*q - 20 = 4*a. Suppose c - q*c = j. Let t(l) = l**2 - 2*l + 1. Calculate t(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1212204 + -12?\nAnswer: 1212142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -161 + 176. Let v = 323 - 68. Calculate the highest common factor of v and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 42, 2, -6, 71 in descending order.\nAnswer: 71, 42, 2, 1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*5*sqrt(66))\/sqrt(6).\nAnswer: 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.6 - -0.1. Let n = q + 2.3. Let j be (-2)\/(-2)*(-1 - -1). What is the closest to j in 2, n, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 0*u**3 - 16*u**2 - 6*u - 2 + u**3 + 21*u**2. Let h be k(-6). Which is the biggest value? (a) h (b) -1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.25812285 + 0.73011.\nAnswer: 2.98823285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20714251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 2 + 2)*(0*u - u + 3*u) + (3*u + 7*u - 4*u)*(-1 - 1 + 1) + 160 - 255 - 3*u + 160 in the form m*u + h and give h.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 10*s + 141. Let l(j) = -2*j**3 - 17*j**2 + 10*j - 5. Let d be l(-9). Let w be u(d). Solve -2*a + w = -x, -a + 5*x = -2 - 12 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f. Let p(l) = -5777*l - 1. What is p(q(n))?\nAnswer: -11554*n - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 18*q + 55. Let x be d(-19). Suppose 0 = -0*i - 3*i + 6. Suppose -z - 3*z + x = 2*c, i*z - 84 = -2*c. List the prime factors of c.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -0.03156.\nAnswer: 0.09468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 7*t**2 + 4*t + 12. Let k(q) = 2*q**2 - 2*q + 1. Let p(v) = -b(v) + 3*k(v). Suppose -4*j - 56 = 5*w - 10, -4*w = -4*j - 28. Determine p(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -6\/3169?\nAnswer: -6\/3169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52)\/18 - 4*15\/(-20).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 16*l + 136. Let m be r(-8). Calculate the greatest common divisor of 432 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28478 is divided by 1672?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22011104 is divided by 314.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3853 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 44*l**2 - 2597*l + 44. Calculate a(59).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27609 - 27606 + 55215 + 9*w.\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**3 + 9648*m**2 + 34052913*m - 109631313390 = 0. What is m?\nAnswer: -3370, 3293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ese when three letters picked without replacement from {j: 4, s: 5, z: 1, p: 3, e: 1, m: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9548 by -7.\nAnswer: -1364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25.9 + 26. Let b be (3 - 2) + -1 - 1. What is the smallest value in w, 1\/3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.716 plus -5071092144?\nAnswer: -5071092130.284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -21*b + 23. Let l(k) = -31*k + 34. Let j(a) = 5*l(a) - 7*s(a). Let q(g) = g - 1. Let m be ((0 - -1) + 0)*-2. Determine m*j(n) - 18*q(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -5*k + 28, -25*k + 29*k = 2*q - 14 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 2*x - 0*x + 5, 4 = 4*k - 2*x. Suppose 7 = 11*o - 15. Let a be 2*k\/o*-1*9. Solve -4*b = -b - a for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 12*o**2 + 20*o - 11. Let c be (-18 - -2)\/(-4*(-4)\/(-8)). Let p be w(c). Let y = p - -188. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 1959*d + 145. Is c(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**30\/d*d*d\/d**(-26)*d**(1\/14)*d**(-18)*d)**(-8\/7) assuming d is positive.\nAnswer: d**(-2244\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1959, 2244, 2529, 2814, 3099, 3384?\n\"Answer: 285*b + 1674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -604 - 86.2212382.\nAnswer: -690.2212382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 34 = -14. Calculate the remainder when 13 is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/168 and 61\/681772.\nAnswer: 4090632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -162 or -1.9414?\nAnswer: -162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**2\/5 + 1648*d\/5 - 11276712\/5 = 0.\nAnswer: -2822, 1998","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 5*b**2 - 140*b - 53. Let a be n(-10). Suppose f = 6*f + 775. Which is greater: a or f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 4:52 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mpmdp. What is prob of sequence mmdp?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 4*f + 8, -4*f = -1 - 3. Suppose 2*p - 10 = g. What is the third derivative of -7*q**2 + 0*q**4 + 2*q**p + 3*q**2 + 0*q**4 wrt q?\nAnswer: 240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5273 + 33893 = 9*r. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 742222.\nAnswer: 2, 13, 28547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 44*h - 3. Let w(y) = -663*y + 45. Let i(p) = 15*r(p) + w(p). Let a(k) = 205*k**2. What is a(i(b))?\nAnswer: 1845*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4*o**2 - 634*o - 2397. Determine u(162).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 541584955 times 0.5\nAnswer: 270792477.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -355*q**3 + 9. Let n(p) = -89*p**3 + 2. Determine -2*d(c) + 9*n(c).\nAnswer: -91*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/4 + -1\/12. What is the closest to 0.1 in 2\/7, i, -0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3159b (base 12) to base 6\nAnswer: -1215515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1102001101000002 + 12?\nAnswer: 1102001101000021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -5*t - 93800020, 4*t = -4*h + 2*h + 93799984. What is h rounded to the nearest 1000000?\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*s + 2050 = -118*s + 150 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*1\/2*0. Let q = -3\/115 - -672\/12535. Is q < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1782 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32310 (base 4) to base 5.\nAnswer: -12243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 76*a - 82*a + 294. What is the highest common divisor of 7 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 4:12 AM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a millennium in decades?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70 and 280.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 11 = u - 0*n, 4*u - 3*n + 32 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (314\/(-785))\/((-32)\/50).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/11716 and 53\/580?\nAnswer: 58580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of x**5\/20 + x**3\/6 + 2*x**2 - 31*x. What is m(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -262*h**2 - 44*h + 21. Determine f(1).\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -9694, 0.2, -0.3 in decreasing order.\nAnswer: 0.2, -0.3, -9694","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*j - 4*j - 2*j + 3*j.\nAnswer: -17*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -24\/61 and 17\/4.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 4*b**2 - 2*b - 5. Let j(u) = -u**2 - u + 5. Let x be j(0). What is the remainder when 21\/(-9) - 425\/(-15) is divided by w(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1405749, 1406032, 1406315, 1406598?\n\"Answer: 283*t + 1405466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 s, 1 a, and 1 o when four letters picked without replacement from {q: 2, o: 2, c: 1, a: 5, s: 2, v: 1}.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of 0 + 4\/3*d**3 - 1\/150*d**6 + 0*d + 4\/25*d**5 + 159*d**2 - 7\/10*d**4. Determine a so that j(a) = 0.\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, w: 2, d: 1, s: 1}. What is prob of sequence sf?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 2*sqrt(2736))*6 + -5*(sqrt(2736) + 1)*4)**2.\nAnswer: 1536*sqrt(19) + 175168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 + 6 - (-2)\/(-14)*-9. Let n = 55\/21 - j. Which is the second smallest value? (a) n (b) 1\/6 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 6, -4, -3, 1.2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 34 = 4*p. Let s = 1 + -7. What is the units digit of 34\/p + (-2)\/s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60854 is divided by 20278.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 45 - -199 - 245 - (0 + 0 + -67 + -2)\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -78.29672.\nAnswer: -81.29672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 30987 and 104?\nAnswer: 3222648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.22561 millilitres to litres.\nAnswer: 0.08122561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nndnffundfnu. Give prob of sequence fn.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.05 - -1.05. Let l = 17 - 17. Which is the nearest to l? (a) -4 (b) 5\/6 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28c9a (base 16) to base 7\nAnswer: 1264034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 308908202 a multiple of 422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3 + 3272*i**2 - 35548*i + 32280.\nAnswer: -4*(i - 807)*(i - 10)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**4\/7 - 345*p**3\/7 + 2307*p**2 - 25539*p\/7 - 231030\/7 = 0. Calculate p.\nAnswer: -151, -3, 5, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a kilometer in meters?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -153 + -21 + 224 - (2 + 0 + -4 + 4).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 1 = 4. Suppose 3*k + 3*k = 222. Suppose 0 = -6*j - k + 7. Sort -6, j, g in descending order.\nAnswer: g, j, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 88 = -4*d, 0*j + j = 2*d - 44. Solve 22 = 2*t + d for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(7\/5))**(-26) assuming m is positive.\nAnswer: m**(-182\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -258184, -2065488, -6971026, -16523914, -32273268?\nAnswer: -55768204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -663.96 + 0.4.\nAnswer: -663.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 2\/19 (c) -0.066 (d) -2\/171 (e) -1.57\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 61 and 1769?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 321779151 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -31929*-6\nAnswer: 191574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -336 - 612. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -466, -1, -5 in descending order.\nAnswer: 3, 0, -1, -5, -466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 737 = -4*p, -5*x = 3*p - 2*p + 188. Let a = -112 - p. What is a rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 6*k**2 - 4*k + 19. What is w(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 18. Suppose -o = o + 8. Let c = o + 8. What is the greatest common divisor of c and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -5*s. Let u(g) = 9*g. Let m(k) = -11*p(k) - 6*u(k). Let y(v) be the first derivative of -7*v**2\/2 - 5. Give y(m(x)).\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 23. Suppose -r + v = -2*t, -5*r + r = 2*t - 60. Does 12 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111350 is divided by 191.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, -4\/3, -3, -53\/2, 5\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 41.6. Let x = u - -29. What is x rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2468922 and 1761.\nAnswer: 1761","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 98*d**4\/9 - 14084*d**3\/9 + 333874*d**2\/9 - 2182888*d\/9.\nAnswer: 2*d*(d - 116)*(7*d - 97)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/165330 and -47\/10?\nAnswer: 165330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 3*h**4\/28 + h**3\/7 - 10. Factor j(m).\nAnswer: 3*m**2*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - x + 652 = -6*x, 4*b - 3*x - 1318 = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -2*n + 2*v, 7*v = -2*n + 10*v - 14 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -425 - -460. Solve -7*m = -0*m + g for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74557131409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -15920 divided by 8?\nAnswer: -1990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.41 - -0.31. Let r = -3 - -4. Let i = 0.47 + -1.47. Which is the closest to i? (a) r (b) s (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9989*i + 19970*i + 1444 = 10117*i + 18444 for i.\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-828)\/621*1016625\/(-2) + 1*-3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/(-10) - (-11)\/(-55). Let x be ((-27)\/(-54))\/(7\/t). Which is the biggest value? (a) x (b) -0.3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7900 and 14.\nAnswer: 55300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4817397 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 128 - 7. What is the lowest common multiple of 27 and r?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -v**3 + 212*v - 45. What is the units digit of f(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of m**5\/30 - 3*m**4\/8 + m**3 + 9*m**2. What is the tens digit of a(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2481173 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11271*j - 857669 = 630103 for j.\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5511671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5a49 + -249?\nAnswer: 5800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-9)\/12)\/((-180)\/(-32)). What is the smallest value in 5, -2\/17, -0.1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (803\/(-365))\/((-3)\/45).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 16*p + 7. Let u be d(2). Suppose 3*v - u = -5*g, g = 5 - 2. Solve 2*k + 2*k - 4*n = v, -3*n = -4*k + 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.09 times 0.0791028\nAnswer: 0.165324852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23 and 736?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6347319 * 0.4.\nAnswer: -2538927.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 4 - (-1 + (1 - 6))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**2 - 5 + 2 + 3. Let r(p) = 6*p. Calculate r(f(w)).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence woo when three letters picked without replacement from owuwssusouwssuwulww?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1093 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 362472034?\nAnswer: 2, 3847, 47111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3726)\/783288)\/(1*3). Which is smaller: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, 4.7, -9747?\nAnswer: 4.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3656 (b) -6\/23 (c) 114\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 134 + -54. Let x(o) = 101*o + 13. Let a be x(7). Suppose 5*t = a + 280. Calculate the greatest common factor of t and d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7762794?\nAnswer: 2, 3, 13, 99523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1193 + 1155 + (-3 - -44) + 3 + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3629246067?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 46, -0.1, 2\/201, 0, 3\/5, -2 in decreasing order.\nAnswer: 46, 3\/5, 2\/201, 0, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1596)\/42)\/(-19)*1\/2*6\/(-327).\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18*(-19 - -12)*(276\/(-36) + 8).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 1 + 21 = 0. Calculate the least common multiple of 106 and p.\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 33*y. Let m(u) = -8*u. Calculate m(s(o)).\nAnswer: -264*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 20441?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h = -10*h - 15. Solve -2*a - 7 = -j, -4 - 6 = h*a - j for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 8*r**2 + 3*r + 6. Let d(t) be the first derivative of 3*t**4\/2 + 41*t**3\/3 + 7*t**2 + 31*t + 97. Let z(a) = -2*d(a) + 11*k(a). Calculate z(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 266 - 266. Solve u + n = 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 h, 1 q, and 1 d when four letters picked without replacement from {t: 2, d: 1, q: 2, s: 1, u: 1, h: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 8*z + 80. Suppose -z*j - 8*j + 80 = 0. What is the fourth biggest value in j, 7, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/3618 and -103\/8442.\nAnswer: 25326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2 + 1234*q + 1236.\nAnswer: -2*(q - 618)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + -319*(-1 + 0). Suppose 0 = -3*j - j - 4*g + x, -5*g - 186 = -2*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.18? (a) -55 (b) -9\/25 (c) 2\/7 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/60)\/(25\/250)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 7347 and 6941 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 4*q + 8*q)*(2 + 1 - 1).\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000262543736 to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15889757847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(76) + -2 + 0 + sqrt(76) - (-3 + sqrt(76) + 2*sqrt(76) + sqrt(76)))*-6*-6)**2.\nAnswer: -1185840 + 31104*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 385 and 5974955.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**5 - 28*x**3 + 830*x - 830*x + (-x**3 + 2*x**3 + 0*x**3)*(-x**2 + 2*x**2 + 0*x**2).\nAnswer: 2*x**5 - 28*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 42114044783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 2. Let k = 14 + a. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**3 - 2*t**2 + 5*t - 3. Give q(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4*(15\/6 + -2). Suppose -12 = -a*g - 2. Calculate the greatest common divisor of g and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -f**5\/2 - 5*f**4\/2 - 5*f**3 - 5*f**2 - 5*f\/2 + 1. Find a, given that o(a) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 109854771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*t + 813*t = -230*t - 5058 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**3 - 11*f**2 + 4*f + 7. Let z be j(5). Solve 9 - 17 = -z*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 75 = -5*f + z, 0 = f - 2*z - 4. What is the lowest common multiple of 46 and f?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 59957903*k - 24736682?\nAnswer: 59957903","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 3 - 5 - n**2 + 9 - n + n**4 in the form r + l*n**4 + q*n**2 + w*n**3 + d*n and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 814028088 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*x**4 + 32*x**3 + 58*x**2 - 4*x = 0.\nAnswer: -1, 0, 1\/15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 123366379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 859265 - 422190\nAnswer: 437075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*w + 260 = 53*w for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a hour in minutes?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z\/((z\/((z**(-2)\/z*z)\/z))\/z))*z**18*z**(1\/32)\/z**(2\/39) assuming z is positive.\nAnswer: z**(26183\/1248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -712 + 721. Let a be -18563 - (j - (7 - 5)). Round a to the nearest one thousand.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114479 is divided by 114161.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7387, 0.1, 57 in increasing order.\nAnswer: 2\/7387, 0.1, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 57\/2 of a micrometer?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o - 23. What is g(-9)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -f**3 + 3*f**2 + 5*f. What is the first derivative of h(s) wrt s?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -7*j**5\/24 + 5*j**3\/3 + 16*j**2. Let q(a) be the first derivative of d(a). Let l(b) = -2*b**2. What is l(q(y))?\nAnswer: -2450*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/12*((-32)\/(-40) - 2).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of c**4\/4 + 7*c**3\/3 + 5*c**2\/2 - 6*c + 2. Let m(s) = 18*s**2 + 131*s + 29. Let t be m(-7). Give o(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 28*s - 28*s - 24*s**2.\nAnswer: -24*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjrjjjjjjrjjbj. What is prob of sequence jr?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**2 - 22080*r - 3503038 = 0?\nAnswer: -10879, -161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-525)\/350)\/(1 - 73\/4).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 3*u - 8 - 12)*(1 + 6 - 4)*(4 - 3 - 3).\nAnswer: -24*u + 120","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -47. Calculate the remainder when (235 - -2)*26\/78 is divided by z.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*p - 1523 = 1403. Let m = 401 + p. What are the prime factors of m?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 + 0. What is the closest to 20 in 1, r, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-232)\/39 + 9\/(12 + -21) + 7?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0744 + -0.0744. Which is the fourth biggest value? (a) -1 (b) -2 (c) r (d) -14\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 429 is divided by 131?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2*c = -4180, 0 = -3*d + 6*d + 4*c - 3140. Calculate the highest common divisor of 72 and d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w + 14. Let g(h) = -3*h - 12. Let q(a) = 6*g(a) + 5*j(a). Let u(c) = 5*c - 5. Let i(x) = 1. Let r(t) = -6*i(t) - u(t). Let z be r(1). What is q(z)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**2 + 152*q - 840 = 0.\nAnswer: 6, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -384511, -384510, -384509, -384508, -384507?\n\"Answer: d - 384512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of 95*o**4\/2 + o**2 - 555*o - 683. What is the derivative of f(u) wrt u?\nAnswer: 570*u**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a03 (base 12) to base 4\nAnswer: -112203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) -2 (c) 0.2 (d) -4\/9 (e) -11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 8 + 11 + (-100 - -98).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2*b = 10, 0 = -2*c - b - 0*b + 7. Suppose -4*m - 2*j + 2 = -c, 0 = 5*m - j - 4. What is the nearest to m in 2, -3\/4, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -1278, 47, -14.\nAnswer: -1278, -24, -14, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7310 is divided by 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 - -69. Let u be (11\/r)\/(1\/6). Suppose -3*n = u*n - 5*f - 67499975, 2*f = 10. Round n to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zow. What is prob of picking 1 o and 1 z?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -2 (c) 436 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.1 + -0.6. Let t = 2 - u. Let r = t + 0. What is the second smallest value in -0.4, r, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5426.307 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d**2 + 12*d - 3. Let i be k(-5). Solve 0 = 23*m - 17*m + i for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z + 141. What are the prime factors of g(0)?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -4*z - 64. Let f be p(-21). Suppose 8*r + f = 9*r. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 970429 to the nearest integer?\nAnswer: 985","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 12:08 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -465 divided by -1.\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -4, 142 in increasing order.\nAnswer: -4, 0.1, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -12 + 8*v**2 - 6 - 6*v + 17 - v**3 - 5. Let a(i) = i**2 - i - 6. Let b be a(-3). Is 10 a factor of j(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -13*m + 156*q - 154*q, -5*m - 10 = -q for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 6*r + 5. Let a be b(-6). Let x(m) = -m**2 - 13*m - 7. Let z be x(-12). Solve 0*t = -a*t + z for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/1144 and 91\/22.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 6*n**3 - 34*n**2 - 8*n - 26. Determine w(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -8769480883 and -25?\nAnswer: 8769480858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -200 - 11?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12024742?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47 + -42. Solve -b = -z*c + 17, -3*b + 6*c = 7*c - 13 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is (-22469)\/(-2)*(-23 - -25) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1476*o = 1490*o - 420. Solve 4*w = -4*m + 10 - o, w = m - 3 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -59*z - 211. Let c(a) = -60*a - 206. Let i(g) = -2*c(g) + 3*r(g). Let k be i(-4). Solve -28 + 0 = k*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 + 47. Let c = -76 + 95. What is the highest common factor of c and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 274995633, 274995636, 274995639?\n\"Answer: 3*n + 274995630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 + -20. Let k be (184\/44 - f) + (-157)\/924. Let n be -3 + 3 + 0\/(-3). Is n <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 827\/72 - 100\/9. What is the closest to 4 in -1\/3, t, -0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d - 1. Let j be (0 - 1)\/(3\/12). Let k(o) = -1 + 3 - 3*o - 5 + 6. Calculate j*k(z) - 11*v(z).\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/7 + 1774*s\/7 + 7128\/7.\nAnswer: -2*(s - 891)*(s + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 1285846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 185501324 a multiple of 2756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4908107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3805 + 3838. Calculate the remainder when 42 is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-36)\/(-21) - (-4)\/14. Suppose k - n*q - 2 = -4, 5*q = k + 11. Let m(r) = 1 - 4*r - k*r**2 + r + 3*r + r**3. Calculate m(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78392 and 1312?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2*s = 370, 15 = -5*y + 5*s + 470. Let v = -109 + 112. Sort 2, -5, v, y in increasing order.\nAnswer: -5, 2, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1156, -3, -2.\nAnswer: -1156, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1*sqrt(11))**2 + 3.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**4 + 0*i**4 - 3*i**4 + (3*i - 3*i**2 - 3*i)*(26*i - 26*i + 5*i**2) + i**4 - 2*i**4 + 2*i**4.\nAnswer: -17*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*o + 26*o**2 + 4*o + 34*o - 26*o**2 + 2*o**3.\nAnswer: 2*o**3 + 46*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -10*t**2 + 186*t - 1234. Determine a(7).\nAnswer: -422","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 682*o**2 + 3 - 303*o**2 - 2*o - 2.\nAnswer: 379*o**2 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 273*q - 15*q**2 + 13*q**2 + 0 - 2 + 3 in the form s + m*q**2 + v*q and give v.\nAnswer: 273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 20, 47\/16?\nAnswer: 47\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/12*20\/(-1 - -5). What is the fourth smallest value in 4, -1, u, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 103 - -37. Let i = 264 - z. What is the remainder when i is divided by (-6 - (16 - 32))*15\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 50.22.\nAnswer: 5.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -153, 4 in increasing order.\nAnswer: -153, -15, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-450)*-10)\/(4\/6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 36.3974525 to 0 dps.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -58\/3? (a) -5 (b) 31\/3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 7*i = -1458. Let b = -153 + i. List the prime factors of b.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -2*c + 1346, 0 = -c - 2*j + j + 673. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1853118, -3706234, -5559352, -7412472, -9265594, -11118718, -12971844?\n\"Answer: -q**2 - 1853113*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2399 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p + 12. Let w be (-56)\/49*7\/(-2). Suppose -y = -w*r - 26, -3*y + 0*r = -4*r - 38. Let q be i(y). Solve 3*l = -0*l + q for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 89135 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express g**3 + 29458 + 8*g**4 - 14718 - 14729 - 3*g**2 + 4*g as x*g + k*g**2 + c*g**3 + u + w*g**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*4*((2*(0 + sqrt(245)) - ((sqrt(245)*-1 + 1)**2 + sqrt(245))) + 1).\nAnswer: -1960 + 168*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -326 + 141 + 113 = -24*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/183947 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 0*y = 4*u + 100, 2*y - 30 = -3*u. Suppose -y = 2*m - 61. Suppose -3*z = -7*z + m. Solve z*c - c = -12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j + 4*j - 5*j**2 + 8*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*z - 23*z - 24 = 0. Let k be -2*4\/8 - z. Suppose 5*j - 13 = 42. Sort -5, -1, k, j in descending order.\nAnswer: j, k, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 103 + -101. Suppose -3*m + 5*u + 0*u + 895 = 0, 0 = u + h. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -319 = -5*m + q - 4*q, 0 = -4*q - 8. Suppose 14*g = 15*g + m. Are -65 and g nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98, -194, -286, -374, -458, -538?\nAnswer: -614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*d = -45*d + 1862 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + 0. Let p be 0*(w - 3)*-1. Suppose p = -2*j + j + 5. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73712207?\nAnswer: 73712207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 8*h**3 - 6*h**2 + h + 3. Let p = -190 - -193. What is the tens digit of y(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 140 and 676?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161 - ((1 - -4) + -6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36791056*d**4*j**2 - 9*d**2 + 2*d*j**2 + d*j + 168040*j**2 wrt d.\nAnswer: 882985344*d*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-14))\/((-23)\/(1610\/(-135))).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + p - 5, -3*c = p - 3*p + 13. Put c, 4, -9, -2 in increasing order.\nAnswer: -9, c, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 5572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-2*sqrt(847) - sqrt(847).\nAnswer: -121*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 160*p + 4. Let h be d(1). Let j = h + -20. Suppose j = n - 0*n. Is 21 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*z + 30 = -65*z. Suppose -5*t - 4*a = -z, 6*a - a - 25 = 0. Solve -t + 0 = -3*o + i, -i = 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**3 - q**3 - 310 - 9*q**3 + 9*q**3.\nAnswer: -2*q**3 - 310","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -x**4\/12 - 11*x**3\/6 + 7*x**2\/2 + 12*x. What is the units digit of y(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1390 + h**2 + 1410 - 2*h**4 - 2*h**3 + h**4 - 13*h as j*h**4 + l + m*h**3 + b*h**2 + g*h and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 8:50 PM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 57 - 71 = -g, -30 = 5*g - 5*a for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 2*z**2 - z - 4. Let h(r) = -r**3 - 5*r**2 - 5*r - 1. Let a be h(-4). Give t(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1665 - -603?\nAnswer: 2470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - y = -3, -163*y + 161*y = 3*u - 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 24, 3, -26, -63, -108?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*o + 3*b, -o - 8*b - 9 = -3*b. Let j(i) = -6*i**2 - 11*i - 27. Let v(l) = l**2 + 4. Let d(p) = -j(p) - 4*v(p). What is the units digit of d(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 5*r + 2*r + (-6*r + 10*r - 6*r)*(-3 + 4 - 3))*(-3*r - 7*r - 3*r).\nAnswer: -169*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3918541066 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21102102 (base 3) in base 13?\nAnswer: 2603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 + 0\/(2\/5*(-185)\/(-37)). Suppose x - 27 = -35. Is j greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -688, 2891 in ascending order.\nAnswer: -688, -5, 2891","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1ca - -1?\nAnswer: -1c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 319 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**3 - 3*m**3 + 2*m**3 + (164*m - 27*m**2 - 164*m)*(-1 + 1 + 2*m) + 2*m**3 + 2*m**3 - 6*m**3.\nAnswer: -58*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14471a2 - 131?\nAnswer: 1447071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 1 + -2 + 1 - -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377 is divided by 97.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -59 - (6 + -170) - 192?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*f - 270 = -23*f. Let c(w) = -27 + 7 + 8 + f - 6*w. Determine c(-7).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.326 and -13.\nAnswer: -4.238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2. Let t(z) = -z - 31 + 15 + 87. What is t(j(w))?\nAnswer: w**2 + 71","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -69? (a) 19 (b) -13 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 2*t = 506 - 460, 0 = -3*h + 5*t + 94 for h.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -33 in ascending order.\nAnswer: -33, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -4, 14, 40, 74?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 3, 1 in descending order.\nAnswer: 3, 1, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53 - 36. Which is bigger: q or -1\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - -4*(-21)\/28.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.1 - 7.63. Let h = -0.83 - z. What is the second biggest value in 4, h, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7 - -4)*(-4)\/(-3). Let t = -897 - -895. What is the common denominator of 1\/(-10) - k\/(0 - t) and -23\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 1342025\nAnswer: -1342025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**4 - 10842*u**3 - 9428247*u**2 = 0 for u.\nAnswer: -2157, -1457, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-4)\/(-28))*-3?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f - 7*f + 4 + f**3 + 5*f**2 - 3*f. Let y be c(-6). Suppose n - 16 = 3*i, 4*n + 5*i = -3 + 33. Does y = n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s + 1. Suppose -2 - 2 = -4*c. Let h be j(c). Let f(d) = 8*d**2 + h*d**2 - 11*d**2. Let p(m) = 3*m**2. Give f(p(y)).\nAnswer: 18*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/1384789 and -52\/12228391.\nAnswer: 721475069","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -7*q - 10. What is the remainder when b(-4) is divided by 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 583705.0357 + -583650. Let b = 55 - w. Round b to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-4)*1)\/(8\/8).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 40?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -385*u = -383*u - 60. What is the highest common factor of 105 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -76516 and -47011?\nAnswer: 29505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -33. Let a(l) = -l**2 + 8*l - 6. Let n be a(4). Let f be 96\/9*165\/n. Calculate the greatest common divisor of f and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -62.36 + -8.64. Let l = 71.1 + k. Let g = -0.9 + -3.1. Put g, l, 5, -2 in decreasing order.\nAnswer: 5, l, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 35\/6, -1.76, 4, 0?\nAnswer: 35\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1625355 by 5.\nAnswer: -325071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 2\/11, -0.08, -0.22?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 35*j**2 + 123*j + 46. Let q be b(31). Let x(l) = l**2 - 12*l - 18. Give x(q).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*t + 10*t + 3*t)*(17*t - 7*t + 7*t) + 0*t**2 - 3*t**2 + 4*t**2 to the form k*t**2 + y*t + h and give k.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -32. Let n = -20124641 - -20124668.999918. Let p = n - q. What is p rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23.21590791303 + -5\nAnswer: 18.21590791303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2210220202 (base 3) to base 11.\nAnswer: 38642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - 13*t + 42. Let v be g(8). Factor 0*c + 9\/2*c**v + 3\/2*c**3 + 0.\nAnswer: 3*c**2*(c + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -5*d**3 - 28*d**2 + 52*d - 7. Let l(q) = q**3 + 7*q**2 - 13*q + 2. Let v(u) = -9*l(u) - 2*m(u). Determine v(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - o = 0. Let w(r) = -r**2 + 6*r - 2. Let m be w(5). Find the third derivative of o*b**2 + b**3 - b**3 - 2*b**m + b**2 wrt b.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/83536354 and -63\/15188428?\nAnswer: 167072708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 - -12. Let x = 29 + c. Suppose 0 = 5*t - 158 + x. Calculate the greatest common divisor of t and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39 divided by -19\nAnswer: -39\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 0.1028.\nAnswer: 0.0514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*x**3 + 5*x**3 + 2*x + 4*x**3 wrt x.\nAnswer: 78*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61262 by 2.\nAnswer: 30631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o - 3 + 3 - 3 + 491*o**2.\nAnswer: 491*o**2 + 7*o - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 7, -15704 in decreasing order.\nAnswer: 33, 7, -15704","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*p**4 + 10*p**4 + 8*p**4)*(p + 7*p - p) - 8*p**5 + 5*p**5 - 5*p**5.\nAnswer: 62*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4342301870 to the power of 1\/3, to the nearest integer?\nAnswer: 1631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -226*x + 230*x. Does 20 divide (15 + -5 + x)\/(3\/183)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1590?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 4*q = 284. Suppose -5*a = -84 - q. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51641146 to the power of 1\/3, to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 20*t**3 + t. Let n be f(1). Let d = n + -9. What is the remainder when d is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.00543 - -558.69457. Let l = -473.6 + -43.4. Let h = j + l. Round h to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of 7\/3*o**3 + 15*o**2 + 0*o + 0 + 1\/15*o**4 - 1\/150*o**6 - 1\/150*o**5. Let d(r) be the first derivative of u(r). Factor d(v).\nAnswer: -4*(v + 1)*(3*v - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -4, -22 in decreasing order.\nAnswer: 1, -4, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16442869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(11)*-3)*6.\nAnswer: -18*sqrt(11) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 136 and 24939.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tjzyjtlttrtjz. What is prob of sequence ljyz?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 5:20 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18\/5? (a) 15 (b) 5 (c) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 516714868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 2088750\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -0.427402, 0.3 in descending order.\nAnswer: 12, 0.3, -0.427402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, b: 1, w: 2, s: 3, n: 1}. What is prob of picking 4 e?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -p**5\/30 - p**4\/12 + 2*p**3\/3 + 27*p**2 + 30. Let t(q) be the second derivative of w(q). Factor t(a).\nAnswer: -2*(a - 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.001*-238336.\nAnswer: -238.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jrhc when four letters picked without replacement from jxhjhcraxxahx?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Solve 147*f = -4730 + 1202 for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -17*v + 2254. Let a be t(132). Solve -2*h + 14 = 2*p, -4*p = -5*h - 0*h - a for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*z + 286 - 1370 + 268 = 3070 for z.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/2 (b) -10\/9 (c) 88 (d) 1 (e) 7 (f) 2 (g) 27\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of p**4\/8 + 14. Factor a(r).\nAnswer: r**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.255*0.3\nAnswer: -0.0765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence huh when three letters picked without replacement from hbuhhbhhub.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.9, -10, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6a7 + -7190?\nAnswer: -7877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a**2 + 88*a - 76. Let t be m(-50). What is the highest common divisor of t and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-26632)\/(-16) + (5 - (-33)\/(-6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6521677739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**2. Let v(i) be the first derivative of -1217*i**2\/2 - 2055. Calculate v(a(n)).\nAnswer: -2434*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1567221 and 8256?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 1, 4, -0.119.\nAnswer: -0.119, 2\/5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in six fifths of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -555\/7 - -80. Which is bigger: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 582282 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*l - 10*l + 11*l + 24*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1203*b - 33 = 1214*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10 or -170\/19?\nAnswer: -170\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16439918?\nAnswer: 2, 11, 17, 113, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 3:59 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from seas. What is prob of picking 2 s?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 7*q**2 - 2*q + 23. Let h = -91 - -80. Is v(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17372 and 13932.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 449949804?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, n: 1, m: 1, h: 1, g: 1}. What is prob of picking 1 m and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50961020 is divided by 439319?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mmmiimimimmdiiiimimi.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 1271176\/47?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-6))\/(8\/3 + -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 6. Suppose 3 + 13 = -4*x + 2*v, -x + 5*v - 13 = 0. What is the third biggest value in -1, x, q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -125 (base 10) to base 9.\nAnswer: -148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-13)\/x**(-8\/7) assuming x is positive.\nAnswer: x**(-83\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, a: 1, i: 1, v: 1, j: 1, h: 2}. Give prob of sequence ha.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6211*o = -5646*o + 36160 for o.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3673157 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v + 59474 - 19779 - 19849 - 19846 + v**2 - 2*v.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 1 = 2*m, -2*m = -3*o + 6*o + 5. Let f = 4 - m. Let p be -1 - 2 - (-5 - -5). Sort f, 3, p in descending order.\nAnswer: 3, f, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one halves of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 56, -0.3, 1 in decreasing order.\nAnswer: 56, 1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 36*i**3 - 2*i. Let k(l) = 53*l**2 - 849*l + 17. Let o be k(16). Let f(q) = q**3 - q. What is o*d(g) - 2*f(g)?\nAnswer: 34*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, -79, -243, -473, -769?\nAnswer: -1131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + -3)*-7*(-1)\/14. Is u less than 37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 12:43 PM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1461 + -1467. Let t = 0.62 - 0.42. Sort -3, -2\/9, o, t in decreasing order.\nAnswer: t, -2\/9, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1799\/2 - -5399\/6. Which is the smallest value? (a) 0.4 (b) y (c) -0.1246 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -383\/839 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 55625860.8 to the nearest one hundred thousand.\nAnswer: 55600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18014092.269 + -18013074.2689567. Let x = -1018 + j. Round x to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -56*v + 55*v + 8. Calculate the lowest common multiple of 10 and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ler when three letters picked without replacement from {e: 1, r: 1, l: 2, s: 4}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 24 + 3)*(-2*v + 2 - 2) + v + 2 - 2 - 1 + 1 + 3*v - 4*v + 2*v + v - 1 + 1 - v + (-2*v + 2*v - 2*v)*(0 - 4 + 3) + 2*v - 4*v + 4*v - 3*v + 2*v + 0*v.\nAnswer: 53*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 105*p - 580. Determine d(-99).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 111010111110110101 (base 2) to base 14\nAnswer: 64085","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2017*q**2 - 54*q - 171. Is n(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5740?\nAnswer: 2, 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y - 8*y**3 + 2*y**2 + 5*y + 2 - 4*y + 9*y**3 + 12*y**4 - 6*y**3 in the form a*y + q*y**4 + i*y**3 + r + k*y**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (1 - -2) - (-8 - -15 - 18)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/11, 1, -7\/8, -2?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -8*(125\/(-20) - -6). Suppose 0 = f + i*l, 4*l + 41 - 17 = f. Calculate the smallest common multiple of f and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -8*p - 5\/28*p**4 - 4\/7*p**3 + 1 - 3\/140*p**5 - 6\/7*p**2. Factor m(y).\nAnswer: -3*(y + 1)*(y + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -109*s - 587. Calculate h(0).\nAnswer: -587","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/14 + (-96)\/(-42). Let h(j) be the first derivative of -10*j**z - 13*j + j + 16*j**2 - j**3 - 9. Factor h(p).\nAnswer: -3*(p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -250445056 (base 7) to base 15.\nAnswer: -15a97da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - a - 458 = 19, 626 = 4*v + 2*a. Suppose 5*w - 2 = v. Suppose 0 = 2*c + c - 282. Calculate the remainder when c is divided by w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 342150 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31700*i*o*t**2*y - 7*i*t**2 + 42*i + 19*o*t*y + 8*y wrt o.\nAnswer: 31700*i*t**2*y + 19*t*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1043 + -0.33.\nAnswer: -1043.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20224686*b**3*l*x + 3*b**3*x**2 + b**3*x - 2*b**2*l*x**2 - 1889672*b*x**2 + b*x wrt l?\nAnswer: -20224686*b**3*x - 2*b**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84586 is divided by 3619?\nAnswer: 1349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010030959 rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from offfy.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 + 11*i - 26. Let k be c(7). Put 16, -2, k in ascending order.\nAnswer: -2, k, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dcbnbcoocvocc. Give prob of picking 1 n, 1 o, and 1 v.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 115*y**2 + 112*y - 218. Let q be o(-114). Solve q*m + 48 = -12 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 35*d**2 - 2*d + 2. Let u(v) = -v**2 - 2*v. What is l(q) - 2*u(q)?\nAnswer: 37*q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13 and 468?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -30 (b) -0.5 (c) 6 (d) -2 (e) 6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 22615427 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 630008590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 11*c**2 - 8*c - 5. Give a(10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4070 - -4268. Calculate the highest common divisor of 7821 and n.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, j: 11, t: 2}. What is prob of picking 2 k?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -291184272 from -44.3.\nAnswer: 291184227.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -2*h - 5*x + 21, -4*h = 4*x - 52 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-7)\/((-245)\/14)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p**2 + 4*p + 13. Let t be w(-2). Solve 5*q = 8 + t for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (38\/5 - 7)*1255. Let p = q - 756. Which is bigger: -27 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -291*n - 31718. What is b(-109)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 10 - 30 = 0. Suppose w - t = 16. Solve -4*x = x - w for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2062 = -22*p + 20*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-3 + -2*3*(0 + sqrt(325) - sqrt(325)))*2)**2*-5*1.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 369*z - 373*z = 34, z = -4*k - 2*z - 18 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 4*c**2 - 2*c - 7. Let l(h) = -5*h - 1. Let u be l(-2). Let r = -4 + u. Let d be t(r). Solve 0 = -2*m + 6*m - d for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -6*m**2 + 8. Let l(v) be the second derivative of 11*v**3\/6 - 272*v. What is f(l(t))?\nAnswer: -726*t**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 990 and 3762?\nAnswer: 18810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 179921 (base 11) in base 13?\nAnswer: 98bb2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**2. Suppose 4*l = k - 3, 2*k + 15 = 3*l + 7*k. Suppose 0 = -11*v + 8*v - 9. Let y = l + v. Let q(a) = -5*a**2. Determine y*q(o) - 7*g(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 349.369, -0.4, -0.3.\nAnswer: -0.4, -0.3, 349.369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 874759 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42*(-4)\/216)\/(((-14)\/6)\/(-1))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 128 and 492?\nAnswer: 15744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of 15*t**4\/2 - 10*t**3\/3 + 9*t**2\/2 - 7*t - 2. Is m(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**2\/2 - 2331*r + 108284 = 0.\nAnswer: -4708, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/2)\/(4\/8). Let h be -14*1\/((-28)\/8). Suppose h*u + 4 = 6*u. Solve 3*r + 4*m = -35, 2*m + 27 - u = -g*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86854 is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o + 6*o + 4*o)*(-390 + 162*o + 390)*(-3 + 0 + 1 + 2*o).\nAnswer: 1620*o**3 - 1620*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 709 = 254. Let f = r + -107. Let u(h) = h**3 + h**2 - h + 1. Determine u(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -767, -1619, -2479, -3353, -4247, -5167?\n\"Answer: -i**3 + 2*i**2 - 851*i + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 220001*a - 5. Let b = 12 - 4. Let z be ((-10)\/(-3))\/(b\/12). Let w be t(z). Round w to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/2 of a year?\nAnswer: 174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-3))\/((-45)\/135).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7010271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -154*r + 52. Calculate the remainder when 79 is divided by k(0).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q**3 - 3*q**3 + q**4 - 3*q**4 + q as p*q**2 + c + g*q + d*q**3 + n*q**4 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -187358, -374663, -561860, -748895, -935714, -1122263, -1308488, -1494335?\nAnswer: -1679750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -36 - 26 - (-11 + (-18 - -12))\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g. Suppose -3*h + 5*t = -31, -h + 3*h + 5*t + 21 = 0. Let j(u) = -u**2 - 2*u**2 + 5*u**h. Determine j(m(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/13 (b) 20.93 (c) -24 (d) -0.3 (e) -3 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127836321?\nAnswer: 3, 29, 379, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 187961 less than or equal to 187960?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.49 - -0.35. Let l = c + 1.14000829. Round l to 7 decimal places.\nAnswer: 0.0000083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 15 + 5 = 0. Let g be (7 - 1)\/(0 - l). Suppose q + 5*k = -18, g*k = -0*k - 12. Solve -5 + q = h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -6. Let y = -1169.4 + 1169. What is the nearest to g in 2\/13, y, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 49007162 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 7*n - 6. Let i be g(-1). Suppose 0 = -0*y - i*y + 6. Solve -y = d - v, -6*d = -d + 3*v + 23 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -39*p**2 - 8*p + 8. Let h(o) = 78*o**2 + 15*o - 15. Let f(s) = 11*d(s) + 6*h(s). What is the units digit of f(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10*(-4)\/120)\/(2\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 186400, 186403, 186406, 186409?\nAnswer: 186412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-93)\/(-18) + 2\/(-12). Suppose -5*u - y*k + 34 = -3*u, 22 = 2*u - k. Solve 0*g + 4*g + u = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*x**3 + 503*x**2 + 48 - 503*x**2 - 36*x**4 + 34*x**4 in the form d*x + a*x**4 + f*x**2 + n*x**3 + b and give b.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -471*m - 253. Is d(-104) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 20 - -10) + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 422 and 3486986?\nAnswer: 3486986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23 - 2*m - 23 + 11*m - 8*m - 18*m + (4*m - m - 2*m)*(5 + 0 - 4).\nAnswer: -16*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 19*q**2 + 19*q + 6. Let g be c(-18). Let y(x) = 5*x + 66. Let w be y(g). Solve -w = 5*l - 3*l, 2*a - 10 = 4*l for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-15 + (12 - 12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -183 + 125*k + 183 in the form r + p*k and give p.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -532, -12, 62, 16 in descending order.\nAnswer: 62, 16, -2, -12, -532","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 6:31 AM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*f - 70*f + 28*f + 25*f - 22*f**3 as y + s*f + z*f**3 + c*f**2 and give z.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-2) - -2) + -1. Let v(i) = i**2 - 7*i + 1. Let m be v(7). Which is smaller: m or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116 - 2*a**2 - 139 + 220.\nAnswer: -2*a**2 - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*t + 2703 = 1412 + 1557 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 6*h**3 + 132*h**2 - 8*h - 173. Give t(-22).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -n**5\/12 + 25*n**4\/24 - 5*n**2. Factor o(f).\nAnswer: -5*f*(f - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -4*f - 2. Let t be k(-3). Suppose -t - 4 = -7*p. Suppose y - 36 = 3*w + p*w, -y = -4*w - 36. Calculate the remainder when 141 is divided by y.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 1 + -1 - 0. Suppose s = 4*b - 33 - 79. Suppose 2*f + 3 = -3, 0 = 2*q + 4*f - b. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 2*q**2 - 3*q - 7. Let f(l) = 3*l**3 - 3*l**2 + 5*l + 13. Let z(s) = 5*d(s) + 2*f(s). Find the common denominator of 27\/10 and z(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 64 and 1312.\nAnswer: 2624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or 4036388?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -285 - -288. Solve 2*w - n*w + m = -2, -w = 4*m - 17 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -5 - (-8 - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 687.9 + 74.1. Let j = m + -768.456. Let b = -0.056 - j. Round b to 0 decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - -11. Let v be (6\/(-4))\/(m\/(-50)). What is the nearest to 0 in -0.1, -1, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.04277 (b) 2\/3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 13. Let q be 20\/u - 2\/(-6). Let f be 10\/q*(-12)\/5. What is the highest common divisor of f and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9721 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 15094 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: Sort -3, -5, 0.2, 93 in descending order.\nAnswer: 93, 0.2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of q**4*w**3 + 4*q**4*w - 208*q**2 + 4*q*w**3 - 17*q*w + 6*q wrt q?\nAnswer: 12*q**2*w**3 + 48*q**2*w - 416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n - 1. Let b be g(4). Find the third derivative of 3*c**3 + 0*c**b + 2*c**2 - c**2 wrt c.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35342898.627 - 4.\nAnswer: 35342894.627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 10*o**2 + 2*o - 7. Let t(a) = -9*a**2 - 2*a + 6. Give -6*p(n) - 7*t(n).\nAnswer: 3*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**2 - 1532*l = 0 for l.\nAnswer: -383, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/(-126)*((-308)\/16)\/(-11). What is the third biggest value in 0.4, -5.7, h?\nAnswer: -5.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 4 - 3*j + 5*j**2 + 6 - 5*j**2. Let t be d(11). Calculate the highest common divisor of 18 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q + 11*q**3 - q - 4*q**3 - 3*q + 7*q**3.\nAnswer: 14*q**3 - 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.5 - -5.5. Let g(j) = -j**2 - 5*j + 9. Let o be g(2). Put s, o, -2\/15 in descending order.\nAnswer: s, -2\/15, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -883, -507, 121, 1001?\nAnswer: 2133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 12 = y, 5*y = 2*v + v + 32 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -5.00000034. What is c rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37511 is divided by 61.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -3*w - 2*k + 8, -2*k = 4. Let x = 7 - w. Let c be (-8)\/24 - 2\/x. Sort 3, c, -4 in increasing order.\nAnswer: -4, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2854*q**2 - 20*q - 3*q**3 + 2 - 2*q + q**4 - 2855*q**2 in the form f + r*q**3 + p*q + w*q**2 + u*q**4 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -282882 - -53482. Round y to the nearest 10000.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27*i**5 - 3*i**5 - 35*i**5 + (i - 5*i + 3*i)*(0*i**4 - i**4 - 3*i**4) + i**5 - 2*i**5 + 3*i**5 + 0*i**5 - 8*i**5 + i**5.\nAnswer: -66*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -3. Let z = 2 + r. Let h(u) = -4*u**3 + 1. Let n be h(1). Which is the third biggest value? (a) z (b) n (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3495*r + 2*r**3 + 82 + 3495*r to l*r + n*r**2 + z*r**3 + i and give i.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 7 - 11 - -6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -3*l - 6, 3*l = -2*l + 2*d + 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 19*0.1\nAnswer: 1.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 1)*(-5 - -6). Let m(w) = w**3 + 3. List the prime factors of m(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/((-2*sqrt(121))\/sqrt(11)) + -2*sqrt(112) + (0 + sqrt(7)*-2)**2.\nAnswer: -17*sqrt(7)\/2 + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18488686?\nAnswer: 2, 79, 117017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -824*n. Let v(d) = -32*d**2. Calculate v(x(q)).\nAnswer: -21727232*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + 8. Let d = -12 + w. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4333232 and 17088?\nAnswer: 1424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13042999 is divided by 13042977?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -2*w - w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13771, 13801, 13829, 13855?\nAnswer: 13879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53981561?\nAnswer: 53981561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/4 of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1184 (base 11) to base 14\nAnswer: -7c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9 of a hour in seconds?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*q**2*s**3 - 82*q**2*s - 2*s**2 wrt s?\nAnswer: -78*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0414 - -0.3354. Let m = -0.194 + s. What is the third biggest value in -0.4, m, 2\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.38, 2, -2, -1\/2, -0.3, 2.01 in decreasing order.\nAnswer: 2.01, 2, -0.3, -0.38, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*sqrt(225) + sqrt(225))\/(-2*sqrt(15)\/sqrt(3)).\nAnswer: -9*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3.22565 * 0.03\nAnswer: 0.0967695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -8*m - 18. Suppose 0 = -13*d - 0*d - 24*d + 222. Let t(n) = -n - 1. Determine d*t(b) - p(b).\nAnswer: 2*b + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2148758 at least as big as 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -51473342.19 rounded to the nearest ten thousand?\nAnswer: -51470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 12:21 PM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -787 - -2032. Let m = -824 + u. Round m to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 544 is divided by 95.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 527675527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y - 7. Let q be p(6). Suppose q*r - 17 - 3 = 0. Suppose 2*j + 3*m - 35 = 12, 12 = -r*m. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 3:54 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*w - 13*w = 48. Solve 0 = w*h - h + 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -8706.\nAnswer: -8705.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55 + -33. Suppose 7 - m = 5*f. Let k = 19093 - 19088. Which is the nearest to -2\/5? (a) k (b) 10 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 y when three letters picked without replacement from jyjoyyoyyyyooy.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12.5 + -0.5. Let n = -12.99945 - c. Round n to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifteen quarters of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2 + 13*l - 5. Let d(y) = -6*y**2 - 40*y + 16. Let r(u) = 3*d(u) + 10*z(u). Let f be r(-5). What is the fourth smallest value in -3, 4, -1\/7, f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6411716 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3432, -3439, -3446, -3453, -3460?\nAnswer: -3467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.917624 to two decimal places.\nAnswer: -13.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -9. Let x be ((-30)\/(-9))\/(v\/888). Round x to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -341 - 4*l + 2*l**2 - 11*l**2 + 325 to the form y + u*l**2 + h*l and give y.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.25 and 20660?\nAnswer: 67145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.33 + 0.13. Let p = j + 0.2. Let a = 0.0000001 + p. What is a rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c + 15. Let x be -5*(60\/25)\/(-4) + -8. Determine o(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -83616493126611 and -3.\nAnswer: -83616493126614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -y - w, -96*y + 7 = -94*y - 3*w. Let k(g) be the first derivative of 14 - g**y + 2*g + 1\/3*g**3. What is k(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 213218.781 rounded to the nearest 1000?\nAnswer: 213000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40320\/231)\/64*(-22)\/(-6)*(-8)\/70.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -19*l + 22. Let r(u) = 17*u - 21. Let z(k) = -5*i(k) - 6*r(k). List the prime factors of z(-17).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 58330137 to the power of 1\/2, to the nearest integer?\nAnswer: 7637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 206165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11764 - 7087. What is the thousands digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.1 + -2.1. What is the biggest value in 0.1, 3\/4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*v**2 - 3*v**2 + 2*v**2)*(2*v + 3*v - 2*v) in the form u*v**3 + w*v**2 + y*v + d and give u.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 69375*s**2 + 4*s - 139395*s**2 + 69413*s**2 to u*s + m + v*s**2 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/((u*u**(-1\/14)*u*u)\/u*u*u))\/(u**(3\/4)*u*u)*(u*u**3)**(28\/9) assuming u is positive.\nAnswer: u**(1957\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l - 29 = 1 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2 + sqrt(117) + 0)**2 + 5 + (sqrt(13) - (sqrt(13) + 4)**2) + (sqrt(325)*-1)**2.\nAnswer: -19*sqrt(13) + 419","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-317 - -318)\/(71\/(-2)).\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 208520 and 18045.\nAnswer: 1876680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1\/10, -0.4, -22 in decreasing order.\nAnswer: 5, -1\/10, -0.4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(120)*-1 - sqrt(120)))\/(sqrt(5) + (sqrt(20)\/sqrt(4)*-6 - sqrt(5))))\/((sqrt(198)\/(sqrt(24)\/sqrt(4)))\/((sqrt(88)*2)\/sqrt(8))).\nAnswer: 8*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*a - 25 = 0, 5*x - 3*a + 8*a = 110. Let d be (-6)\/x + 65\/105. Which is bigger: d or -27?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 454*q - 7857 - 9895 + 4609 = 117*q for q.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hrhh when four letters picked without replacement from hrrhhhhhhhhrhhh.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4)*(y*y**(-3\/5))\/y*y\/((((y*y\/(y\/((y**(-1)*y*y)\/y*y)*y*y))\/y)\/y)\/y*y)*((y**(-2\/11)*y)\/y)\/y)**(-8) assuming y is positive.\nAnswer: y**(1224\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 18*l**3 - l**2 + 5*l - 5. Is x(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 582496000 to the nearest one million.\nAnswer: 582000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 6d390?\nAnswer: 6d394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1408.5 (b) -3\/2 (c) -0.6 (d) -1 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -931 = -f + 3*m - 928, 4*f = -5*m - 5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 0, -2, -0.126716, 4, 2.2 in descending order.\nAnswer: 4, 2.2, 0, -0.126716, -1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -200 - -208. Let t(i) = -i**3 + 8*i**2 - i + 19. Let z be t(j). Solve -z*p = -15*p + 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -124100 to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -57*z - 487. Let w be p(-9). Let d(v) = -9*v + 0*v**3 - 4 - 9 + 4*v**3. Let h(t) = -t**3 + 2*t + 3. Let g = 10 + -4. Give g*d(o) + w*h(o).\nAnswer: -2*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*4\/24 - 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3013\/48 - -359\/6. Find the common denominator of d and -6*(-3)\/(-6) + (-1)\/(-12).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 472968 = -4*c, -4*n = c - 207400 - 265593. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46*u**2 + 57*u**3 + 46*u**2)*(-2*u + 0*u + u)*(-1 - 1 + 5).\nAnswer: -171*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -16 + (4 - -2) + -3. Let y(d) = 2*d + 29. Determine y(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 1\/226001, 13, 0.4, 2\/11?\nAnswer: 1\/226001","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 0)*(-15*d + 3*d + 0*d).\nAnswer: 24*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12260299?\nAnswer: 12260299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7737163 is divided by 18871.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35 - 9. Let s(f) = -11*f**2 + 2*f - 1. Let c(b) = b**2 + b - 1. Let d(q) = 2*c(q) - s(q). Calculate the remainder when d(-2) is divided by x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2058*w - 351 + 2057*w + 262 - 452.\nAnswer: -w - 541","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(1\/4)*u))**(4\/33) assuming u is positive.\nAnswer: u**(-1\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 5:12 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10.201 - -15.315. Round h to 1 decimal place.\nAnswer: 5.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + g + 11 = 0, 3*g - 38 = -53 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.16 times 12\nAnswer: -1.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 11*w**2 - 77*w + 13. Let u be n(-5). Let c = 12 - 23. Put -5, u, c in decreasing order.\nAnswer: u, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z - 3. Let x be q(-6). Let v be 3 - (2 - (-7)\/x). Which is the biggest value? (a) v (b) 5\/6 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 33, 23, -33, -135, -283?\n\"Answer: -23*f**2 + 59*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -113294351963.4 and -0.331.\nAnswer: -113294351963.731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 90\/527503 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 45\/(-12)*(-61)\/(96075\/1080). Let r = -0.07 + 4.07. Sort i, r, 2.\nAnswer: 2, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 509\/1010 - 2\/505. Suppose -9 = -3*v + 3*k, -2*v + 2 + 4 = -3*k. Which is the closest to 0.2? (a) v (b) q (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-1 - (-8 - 10) - (-1 - -15))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*f - 20 - 8 - 12 = 0. Let a = 4 + 2. Sort -4, a, 5, f in descending order.\nAnswer: a, 5, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126)*2)\/sqrt(6))\/(sqrt(175) + sqrt(175)*-3) + -3.\nAnswer: -3 - sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 64 - 59 = -z, -3*z + 3*q = -15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 6*g**2 + 187*g - 3. Calculate k(-17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8443140 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -11*c + 18. Suppose 0 = -2*x - 42. Let p = x - -13. Is o(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27b1b (base 13) to base 3.\nAnswer: -10210000222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5943*m**4 + 393*m**3 - 20*m**2 - 174249*m.\nAnswer: 142632*m + 2358","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 3 - 4)*(-z + z + 2*z) - 64 - 58 + 71*z + 122 in the form w*z + f and give w.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22299 (base 11) to base 4.\nAnswer: -13320212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.699 - 0.101. Let h = 8 + s. Let c = h - -0.5. What is the nearest to -1 in 4, c, 7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 362 + 3.0886.\nAnswer: 365.0886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -40292 * 8\nAnswer: -322336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - -1)\/(2\/(-3)) - -140. Let j = g - 137. Which is the second smallest value? (a) -0.4 (b) j (c) 41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 157 = 2*m - 616, -450 = -2*m - 2*x. List the prime factors of 4 - (-2 + (1 - m)).\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 3*z + 4)*(88*z - 46*z - 129*z) to t*z + y + q*z**2 and give q.\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 90c2 - 7?\nAnswer: 90bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -46541 + -5?\nAnswer: -46546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 177, 356, 537, 720?\nAnswer: 905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 divided by 92?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54237126?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 10:24 PM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-2)\/(-3)*3362\/154652?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 175366501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.284 + -34.556. Let k = -5.56 - y. Round k to the nearest integer.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7564, 30082, 67612, 120154, 187708, 270274?\nAnswer: 367852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -326, -820, -1318, -1820, -2326?\nAnswer: -2836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q**2. Let y be (40\/(-48))\/((-2450)\/539). Let m(p) be the third derivative of -2*p**2 + 0*p + 0*p**3 + 0 + 0*p**4 + y*p**5. Determine m(g(l)).\nAnswer: 99*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 - -32. Let m(k) = 2*k**2 + 2*k - 1. Determine m(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -192 + 468 - 171 - 17*k - 130. Let c(s) = 3*s. Determine c(q(l)).\nAnswer: -51*l - 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 404 + 315. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 5*j = 3*d + 32, 5*j + 47110 - 47154 = d - 2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y + 13*y + 14*y - 20*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66 + -38. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - -2. Suppose c = 6*y - 4*y. Suppose 0*r + r = -5, 2*r = s - 21. Calculate the remainder when s is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine thirds of a hour in minutes?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 48517010?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -740 divided by 4\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -99241, -197150, -295059, -392968?\nAnswer: -490877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -11 (b) -4 (c) 64 (d) -8.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 2:00 AM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -94.8229 + 0.0229. What is n rounded to the nearest integer?\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/6*(-39192)\/2840)\/(-2)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -2\/17 (b) 4 (c) 5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(1900)*-2*3 - (-3*(sqrt(1900) + -2 - sqrt(1900)) + sqrt(1900))))**2*-1.\nAnswer: -93164 - 1120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18872.363 rounded to the nearest one hundred?\nAnswer: 18900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11300 (base 4) in base 12?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/(-2)*(-12)\/9. Let k(d) = -7*d + 1483. Let u(m) = -8*m + 1728. Let r(p) = 7*k(p) - 6*u(p). Calculate r(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -693, -978, -1515, -2310, -3369, -4698, -6303, -8190?\n\"Answer: -x**3 - 120*x**2 + 82*x - 654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/4)\/(6\/(-16)). Let o = 487 + -479. Solve -3*x + z = -o for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 - 29. Let n = 13 + g. Suppose -4*c = 3*i - 65, n*i = -2*c - 0*c + 20. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6424*u**2 + 13*u**3 + 6230*u**2 - 12654*u**2.\nAnswer: 13*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*m = 4. Suppose -2*j + 0*k + 36 = -k, 72 = m*j + 5*k. Let o = j + 4. What is the remainder when 64 is divided by o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and 0.642144.\nAnswer: -4.357856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a**2 + a + 2. Let t(g) = g**2 - 1. Suppose -3 + 15 = 3*y. Let x(l) = 4 + l**3 - 3*l**2 + 1 - 4*l - 1. Let n be x(y). Determine n*t(v) + c(v).\nAnswer: v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 - 27 = -6*k. Let a = k + -20. Suppose 1596 = 5*u - a*d + 648, 4*u = 4*d + 756. List the prime factors of u.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**4 + 18*m**2 + 6*m**3 - 18*m**2 + 2*m**4 + 0*m + 0*m + (0*m + 0*m - 2*m)*(4 - 4 - 2*m**3) + 2*m**4 + m**3 - m**3 - 3*m**4 + 3*m**4 - m**4.\nAnswer: 6*m**4 + 6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 48. Let u be b(0). Let t = -25 + u. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 348149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281*v - 21 = -278*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b + 81. Let t be m(32). Let l = -28 + 62. Calculate the greatest common factor of t and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (11 + -1)*4\/(-10). What is the remainder when (0 + z - -3) + 33 is divided by (-5 + 4 + -8)*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.07227, -8\/7, 1\/2 in descending order.\nAnswer: 1\/2, 0.07227, -8\/7","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3019460 and 16340.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**3 - 2*w**2 + w - 2. Let i = 2 - 4. Let v be n(i). Suppose -17 = -5*q - v*r, -5*q + 4*r = -0*r - 33. Sort 0, q, -2 in increasing order.\nAnswer: -2, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/((-27)\/(-382))*3\/(-2). Let x = v + -3. List the prime factors of x.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2. Let x(h) = -351*h. Calculate x(p(a)).\nAnswer: 351*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u**2 - 2*u**2 + 0*u**2 + (-3*u**2 + 3*u**2 - 2*u**2)*(0 + 1 - 3) - 3*u**2 + 2*u**2 + 0*u**2.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -s + 36. Let x = -33 - s. Solve -5*y + x*r + 17 = 0, 2*y + 28 = -5*r + 10 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a + 60. What is the smallest common multiple of 64 and w(-20)?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*p - 87898 + 15065 = -119*p. Does 200 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**5 + 4113*p**4 + 4243390*p**3 + 28842750*p**2 - 677956031*p + 644865777 = 0.\nAnswer: -2053, -17, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 12. Which is smaller: u or -0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 - -2643542?\nAnswer: 2643551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2225 (b) 3\/8 (c) 2\/3 (d) 4 (e) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-8) - 12908\/824. Let p = 17\/103 + l. Find the common denominator of p and 83\/42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(3) + sqrt(3)*-1*3 - (-2*sqrt(12))\/sqrt(4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 4. Put 3, k, -5, -3 in ascending order.\nAnswer: k, -5, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 + r**2 - r**2 + (-4 + r**2 + 4)*(4*r + r - 3*r) - 3*r**3 + 4*r**3 - 3*r**3 + r**3 + 0*r**3 + r**3)*(-60842 + 60842 - 81*r**2).\nAnswer: -243*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -360528416 divided by 164\nAnswer: -2198344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 25, 4, -3, 147, 18 in descending order.\nAnswer: 147, 25, 18, 4, -3, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.8 + -0.8. Let u be (-19995)\/280 - (-6)\/21. Let l = 71 + u. Which is the closest to -0.2? (a) h (b) 1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 155994, 311987, 468004, 624063, 780182?\nAnswer: 936379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - d + 120 = 0. Let s = d + 124. Is s a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6109 and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1236665 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121, -242, -363, -484?\nAnswer: -605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2*t = -2*t - 4, -2*l = 5*t + 11. Let z be l + (-56)\/18 + 1. Which is the second biggest value? (a) z (b) 5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3 + 14\/4)*(772 - -2)?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 174700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/(-3)*(16 - (-1)\/(-1)). Let x = -76 - d. Solve 6 + 2 = x*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0)**(1\/5)\/((r*r\/r**(-2\/3)*r*r)\/(r**(1\/8)*r*r))*r**(-3\/7)\/r*r\/(r*r**(-2\/11))*r**2\/(r*(r\/(r*(r*r**(-2)*r)\/r)*r)\/r*r*r) assuming r is positive.\nAnswer: r**(-10697\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -755638721 and -3?\nAnswer: 755638718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and 58.96.\nAnswer: 56.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/sqrt(5)*5)**2 + (sqrt(720) + -2)**2.\nAnswer: -48*sqrt(5) + 849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 7. Solve -5*w + 4*z - 29 = n, -3*w = -z + 10 + 6 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 580260 to the nearest integer?\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 16*i**3 + 3*i**2 + 2*i - 1. Let a(u) = u**2 + 2*u - 4. Let t be a(-4). Let j(c) = 16*c**3 + 4*c**2 + 3*c - 1. Let y(p) = t*j(p) - 5*w(p). Give y(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11277847.02 - -2?\nAnswer: -11277845.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -b + 11, 0 = 560*b - 556*b - 3*m - 19 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 5 = 2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 332 and 22.\nAnswer: 3652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3a0394 (base 11) to base 16\nAnswer: 99d0d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(-15)*57\/(-2). Suppose 3 = -4*b + i. Suppose b*q = 4*u - 32, -2*u + 24 = u + 5*q. What is the remainder when 21 is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of (56\/7 - -138) + 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of 5*l**4\/66 + 2*l**3\/11 + l**2\/11 - 125*l. Determine p so that n(p) = 0.\nAnswer: -1, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-7\/4)\/b**(-11))\/(b**(-2\/15)*b*b)**(2\/31) assuming b is positive.\nAnswer: b**(16981\/1860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1689, 3372, 5055, 6738, 8421?\nAnswer: 10104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.6399032 micrograms?\nAnswer: 0.0006399032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0072 - 0.012?\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/87344 and -109\/352.\nAnswer: 1921568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -1833 + 1801. What is the smallest common multiple of 16 and g?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 12*s + 126 = -64*x + 69*x, -4*s + 63 = -s for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -43 - -44 - (2 + 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4404 + -1445146?\nAnswer: -1452553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 17 - 47 = -5*r, -12 = -2*j - 5*r. Let z(w) = -54*w**2 - 12*w - 9. Let l be z(-4). Calculate the remainder when (6\/5)\/((-99)\/l) is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -7*b - 22. Let a = -27 + b. Let r = 41 + a. Solve -f - 20 = -r*z, 5*z + 20 - 60 = 5*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 13*r + 108. Let s be f(-8). Suppose -h + 2*x + 1801 = 0, -7204 = -8*h + s*h + 2*x. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 84 + -78. Let s = 30 + -8. Suppose -s = -2*y + 3*w, 5*w + 10 = -3*y + y. Is y < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-86)\/18 - 4\/18. Suppose 0 = j - 4*j + 36. Let i be -4 + 1 - (-39)\/j. Which is the closest to i? (a) x (b) -3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3136980 a multiple of 1455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -88940 + 12095741\/136. Let a = 64139\/87176 + r. Find the common denominator of -137\/6 and a.\nAnswer: 3846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + p**2 - p + 1. Suppose 0 = -5*r - 9 - 1. Let a be f(r). What is the nearest to -1 in a, -3\/2, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4247 is divided by 271?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 61609 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -4\/7 and 10396 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -345091\/21 - -16433. Let t = 0 - 5. Let h be 10\/(-8)*(-2)\/(-10). Which is the second biggest value? (a) s (b) t (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -26854?\nAnswer: -2684c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 33680579 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.04 - -2.91. Is 8 not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 80 = 7*o + 4*x, -4*o + 70 = -2*x. Let q(k) = 25*k - 53. Is q(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3*s = 2*p - 16, -29 = -4*p - 3*s. Suppose 63 + 17 = p*l. What is the highest common divisor of 16 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -296, -286, -262, -218, -148, -46, 94?\n\"Answer: y**3 + y**2 - 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15537084640 plus 4?\nAnswer: -15537084636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -250, -141, -85 in increasing order.\nAnswer: -250, -141, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 c when four letters picked without replacement from zcze.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/40)\/((147\/(-18))\/7).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 310 - 1e?\nAnswer: 2f2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99 and 83259?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*q**2 + 30*q**2 + 72*q**2 - 38*q**2 + 8*q**2.\nAnswer: 124*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -h - 184, -j = 3*h - 3*j + 572. Let p = h + 196. Solve 0 = p*l - 10 + 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 264179.5 kilometers?\nAnswer: 264179500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39670?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 212*o**3 + 217*o**3 - 432*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 76921 + -76909. Let y = 1 + -1.3. What is the second smallest value in p, y, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-140)\/14*10\/(120\/18).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, 113, 174, 237?\nAnswer: 302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j**2 + 9*j**2 - 5*j**2.\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22044)\/(-25718)*(-182)\/4?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -498\nAnswer: -49.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/3737 and -37\/3.\nAnswer: 11211","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 19 = 2*a + 5, 5*a + 3*q = 29. Suppose 2*j + 3*w - 4876 = 4*j, -a*j = 4*w + 9732. Let d = -4125 - j. Round d to the nearest 100.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*c + 28*c + 24*c + 2*s + 15 = 75*c, 5*s = 4*c + 21 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*s + 230*s - 116*s - 29*s**3.\nAnswer: -29*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 1:20 AM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156*b - 524*b + 202*b.\nAnswer: -166*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 (base 7) in base 14?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 305188781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54630 divided by 6.\nAnswer: -9105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a - 58 = 152 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.015? (a) -0.02 (b) -8 (c) 3\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 2)*4 - (sqrt(2) - (sqrt(2) + sqrt(2) + (sqrt(2) + -3 + sqrt(2))*-4)).\nAnswer: -3*sqrt(2) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -2227.\nAnswer: 4\/2227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.92, -1, 4 in ascending order.\nAnswer: -2, -1, 0.92, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 45270934 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) - (0 + sqrt(325)*-1)**2) + (-2 + sqrt(325))*4 - ((1 + sqrt(325) + 0)*-2)**2*2.\nAnswer: -2941 - 55*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 16. Solve -5*y + 7 = -u*r, 0 = y + 5*r - 16 - 7 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 451373?\nAnswer: 13, 34721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 1:23 AM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = k - 4*y, -67*y + 63*y = 5*k + 26 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 4*(3 + (sqrt(1584) - 1*sqrt(1584)*-1 - -1*(sqrt(1584) + sqrt(1584)*2)))*5)**2.\nAnswer: 153600*sqrt(11) + 15844096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-25)\/4 - 3\/(-12). Let j(o) = o + 5. Give j(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2. Suppose 0 = 2*m + k - 5*k - 8, -4*m + 3*k + 11 = 0. Let j(a) = -2*a + 6*a + m*a - 4*a. What is o(j(y))?\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10*(-13 + 108\/8). Solve -37 = q + 2*q - 5*n, -5*q - p*n + 5 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/8148 and 59\/1358.\nAnswer: 8148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6990 and 1398.\nAnswer: 6990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1005202 - -1005189. Suppose 2*n + 2*q - 10 = -0*n, -3*q = 15. What is the third biggest value in n, p, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2 + 3973830*q + 1315943739075.\nAnswer: 3*(q + 662305)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y + 17*l + 1327 - 1153, 0 = -2*l - 4 for y.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/14 (b) -11.7 (c) -10.6 (d) 0 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 460892051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.949055 months to centuries.\nAnswer: 0.0116242125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3 + 135*i**2 - 900*i.\nAnswer: -5*i*(i - 15)*(i - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 776, 1440, 2104, 2768, 3432?\n\"Answer: 664*a + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 1:28 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 726166?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6019 - -26?\nAnswer: 6045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2247 - -2257.31. Let q = c - -0.69. Let y(h) = h**3 - 6*h**2 + 6*h - 4. Let f be y(5). Put q, 3\/5, f in descending order.\nAnswer: q, f, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of 13*k**3\/3 - 27*k**2\/2 - 23*k + 1. Find the first derivative of g(c) wrt c.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10629*x + x**3 - 10585*x - 1 - 3*x**3 - x**4 - x**4 - x**2 as b*x + k*x**3 + n*x**2 + m + p*x**4 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1120 and 654290?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9880, -39409, -88584, -157405, -245872, -353985, -481744?\nAnswer: -629149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 - 7 = 3*f. Calculate the remainder when 29 is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - s - 1. Let j(n) = 16*n**2 + 6*n + 5. Let g be (-15)\/(-3) - (0 + 11 + -7). Determine g*j(y) + 5*t(y).\nAnswer: 11*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 85*r**3 - 5*r - 6. Let x be q(4). Let u = x - 57. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-55 - (26 - (-19 - -12))) + -24 + 6 + 1.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkpksookok. What is prob of picking 1 s, 1 p, and 1 o?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4620705?\nAnswer: 3, 5, 19, 31, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-30)*9)\/(162\/(-60))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -94 - (9110 + -8920)\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4556 - -4562. Let r(w) = w - 4. Calculate the lowest common multiple of l and r(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 62.1 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16176675 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-4))\/(2\/(-120)). Let y be (0 + (-8)\/3)\/((-10)\/45). What is the highest common divisor of y and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54091270.\nAnswer: 2, 5, 53, 102059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}