diff --git "a/data/dm_maths/full_data_2/2015_11255.jsonl" "b/data/dm_maths/full_data_2/2015_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/2015_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Add -6.81 and -1009.94.\nAnswer: -1016.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265*m + 133*m - 288 = -148*m. Calculate the greatest common divisor of m and 11808.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/18682670 and -54\/9341335.\nAnswer: 18682670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.027371923997448 and -0.05.\nAnswer: -0.077371923997448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0503 take away 1726?\nAnswer: -1726.0503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + o = -28, 4*i - i = -7*i - i + o + 58 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16698 = -1774*u - 36522 for u.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1*sqrt(847) - sqrt(847)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*s + 109 = 58*s + 2479 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2571082120 to the nearest integer?\nAnswer: 1370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 5*l. Let h be -3 + (-8 - -12) + 1*3. Let o(x) = x**2 - 7*x + 15. What is the remainder when g(1) is divided by o(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 4*i - 3*t - 5, -3*i + t = -9 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -366.6 + 411. Let j = 172 + -127. Let g = j - l. What is the nearest to 1 in -0.2, g, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 67*f**3 - 2098*f**2 + 471532*f?\nAnswer: 402*f - 4196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + 29. What is the highest common divisor of 7 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 147 in 41, 1\/4, 4\/5, 1, -22?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06878 and -2?\nAnswer: 0.13756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 11\/23?\nAnswer: 11\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4510 is divided by 236.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 53843 divided by 2\nAnswer: 53843\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 4*l**3 + 544*l**2 - 4544*l + 9216 = 0.\nAnswer: -144, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4*j + j - 9753 = 0, -3*g = 4*j - 9774. List the prime factors of g.\nAnswer: 2, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gzxgxggzsxxxxgssghgx. Give prob of picking 1 h and 3 x.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22138*q - 1 + 61*q**2 - 22138*q + (-q - 2*q + 2*q)*(-4*q - 2*q + 5*q).\nAnswer: 62*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2 + -5 + sqrt(18) - (2*(sqrt(2) + -2)**2 - 2*sqrt(32)).\nAnswer: -18 + 19*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 67 + -59. Suppose -2 = -0*d - d. Calculate the least common multiple of x and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6004 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/(-6)*(-3)\/12. Let y(g) = g**2 - g - 5. Let q be y(4). Let c = 11 - q. What is the smallest value in z, c, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of x**5\/20 + 5*x**4\/2 + 7*x**3\/2 - 13*x**2\/2 + 88*x. Is g(-15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -35a9 - -1d?\nAnswer: -358b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 228 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of 0 + 5*m - 1\/3*m**3 + 0*m**2. Let o(i) = 42*i**2. What is k(o(b))?\nAnswer: -84*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 464 (b) -104\/11 (c) -3 (d) 2\/5 (e) 2\/15 (f) -5\/4 (g) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7990408.11 rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3106533009?\nAnswer: 3, 47, 22032149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 65*m**3 + 125*m**2\/2 - 265*m\/2 + 5 = 0. Calculate m.\nAnswer: -2, 1\/26, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1291\/3 - -446. Calculate the common denominator of b and 26\/33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1017*d = 1001*d + 32848. What are the prime factors of d?\nAnswer: 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 9:18 PM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -31302111010?\nAnswer: -31302111021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and -1*3*-1*(-16)\/(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/(-2))\/3 + 8. Let l be s + 4\/(-2)*1. Suppose 0*w + 16 = l*w. Let o(y) = -y + 1. Let u(q) = -5*q + 2. What is w*o(d) - u(d)?\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47 - -281\/6. Suppose -5*x = 7 + 18. Let w = -1\/9 + 11\/18. Which is the second smallest value? (a) q (b) x (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g**3 - 270572*g**2 + 4328060*g + 4598636 = 0. Calculate g.\nAnswer: -1, 17, 67627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwawwa. Give prob of picking 3 w.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4245745.1 rounded to the nearest ten thousand?\nAnswer: 4250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - -6. Do w and 17 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 351.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -1.1. Let z = w - 0.2. Let p(j) = 2*j + 1. Let l be p(-2). What is the closest to -1 in l, z, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51682313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54857907?\nAnswer: 3, 13, 36067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 4*g - 155, 73 + 21 = 2*h + 5*g. Does 19 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i**3 - 2*i**2 - 1. Let s be j(-2). Let m be ((-425)\/(-3))\/((-11)\/s). Suppose -3*r - m = -8*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 845792717?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, 3317, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 + 13 + 110*u**2 - 126*u**2 as d*u + l*u**2 + j and give l.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12307108682.5924 - 1.\nAnswer: -12307108683.5924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2)\/(k\/k**(5\/2)))\/((k\/k**(5\/3))\/(k**(2\/5)*k*k)))**(2\/63) assuming k is positive.\nAnswer: k**(11\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 43188 and 2832.\nAnswer: 172752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -237662816 divided by 8?\nAnswer: -29707852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-18)\/27)\/(2\/6). Let b be 1\/(d\/10 + 0). Let t(n) = 6*n**3 - 5*n**2 - 5*n + 5. Let j(a) = 7*a**3 - 6*a**2 - 6*a + 6. Determine b*j(f) + 6*t(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of 0*k**2 - 5\/6*k**3 - 4*k + 0. Let n(s) = 2*s**2. Determine f(n(m)).\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2547556 kilograms in nanograms?\nAnswer: 254755600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -136, -192, -272, -382, -528, -716, -952?\nAnswer: -1242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((-14)\/3))\/(8\/(-16))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of t**5\/15 + 6*t**2. Let v(n) = -6*n. Calculate j(v(d)).\nAnswer: 144*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yge. What is prob of picking 1 e and 1 g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - (2 + 1)) + (-252)\/(-70). Suppose 0 = -m - m. Suppose -2 = v + y, m = -4*v - 2*y + 5*y + 27. Which is the nearest to s? (a) v (b) 2 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 85 + 105. What is the units digit of (-35)\/c*(-52)\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 4*o + 6. Let d be z(-3). Suppose -5*l + d*a + 230 = -15, 3*a - 123 = -3*l. What is the remainder when l is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 7*k**2. Let v be (48\/(-8))\/3 - 1. Let d(f) = f**2 - 16*f - 26. What is the smallest common multiple of r(1) and d(v)?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of 1\/6*f**3 + 0 - 3\/2*f**2 + 8*f. Let t(g) = 2*g - 3. Let i be t(5). Calculate l(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - (1 - -1))\/(-2). Suppose b*r - 90 = -r. Let s = 32 + -22. Calculate the greatest common factor of s and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, 20, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)*2)\/sqrt(5) + (sqrt(5) - (sqrt(500) - (sqrt(500) + 2 + sqrt(500)) - sqrt(5))) - -3*((sqrt(30)\/sqrt(6) - sqrt(5)) + -3).\nAnswer: -7 + 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1291 + 2168. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 90 = 2*d. Let f = 17 - d. Does f = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 5*q**2. Suppose 0*x = x + 1. Let j be i(x). Solve t**3 - t**2 + j*t**3 + 4*t**3 + 5*t**2 = 0 for t.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of c**9\/1008 + c**5\/30 + c**3\/2 + 3*c. Let k(q) be the second derivative of l(q). What is the second derivative of k(i) wrt i?\nAnswer: 60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 4*r - 28 + 0 = 0, 3*w + 9 = -3*r. Let u = 24 - 20. Which is bigger: u or w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2. Let m(g) = -32*g. Let k(j) = 21*j. Let t = 5 + 3. Let c(l) = t*k(l) + 5*m(l). Give c(n(v)).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -419*g**5\/10 + 1039*g**4\/12 + 2315*g. Find the third derivative of o(y) wrt y.\nAnswer: -5028","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128)*-4 + 0.\nAnswer: -32*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -556937 - -1.\nAnswer: -556936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*d - d + 3*d)*(2*d - 7*d + 2*d)*(6 - 24 + 8) as j*d**2 + z*d + y and give j.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**3\/12 - 43*v**2\/4 + 12455*v\/6 = 0. What is v?\nAnswer: -235, 0, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 12:31 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 15382, 30776, 46174, 61576?\n\"Answer: 2*b**2 + 15388*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dldylhjyjdllyydjyd. Give prob of picking 1 j and 3 y.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14392559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(-1\/3)*q*q*(q\/((q*q**(10\/7))\/q))\/q*((q**(-2\/3)*q)\/q)\/q**(2\/11) assuming q is positive.\nAnswer: q**(30\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 250860455 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxuuuxuxuuxxu. What is prob of sequence xux?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 147687610 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 134 + -131. Is (k\/15)\/((-17)\/(-3655)) a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*n = 155 + 79 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.34 > 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, 50, 187, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.9908504 to 4 dps.\nAnswer: 1.9909","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -3*r**5 + 56508*r**4 - 3546123*r**3 - 37060062*r**2 + 40549680*r = 0.\nAnswer: -10, 0, 1, 72, 18773","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -18. Let i be 4\/q + 2024\/28. Let x = i + -41. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v - 4*v**2 - 3*v + 3*v**3 - 4*v**3 + v**2 as b + t*v**3 + s*v**2 + d*v and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 28 - (15 + -24) - 20\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6add - 29?\nAnswer: 6ab4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 373752347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8205 + -2988. What are the prime factors of x?\nAnswer: 3, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 4*d - 3*d)*(-17*d**4 - 12*d**4 - 14*d**4) - 8*d**5 + 3*d**5 + 3*d**5.\nAnswer: 41*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of i**4\/24 + 2*i**3\/3 - i**2. Let s be (-6)\/(-4)*(-20)\/(-10). Let v be j(s). Solve 3*o = z + 8*o + 17, 2*z + o = -v for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of 2*c**7\/105 - 8*c**6\/25 + 57*c**5\/25 - 134*c**4\/15 + 104*c**3\/5 - 144*c**2\/5 + 182*c. Let p(o) = 0. Calculate o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 6*j**3 + 2257*j**2 + 341*j - 13162. Calculate c(-376).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r - 3*n - n + 9, -4*r + 5*n = 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.1? (a) 4\/9 (b) 2\/19 (c) 3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - -65.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -4*k**3 - 2*k**2 - 2*k - 2. What is the remainder when 127 is divided by i(-2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 20409*f**2 - 5*f - 6. Let i be u(7). Round i to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4224*v**2 - 4189*v**2 + 0*v + 0*v. Let n(a) = -a**2. Determine t(n(w)).\nAnswer: 35*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -2*p - 8*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1*-13\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*x + 244*x**3 - 2 + 3*x - 375*x**3 - x to t*x**3 + h*x**2 + k + a*x and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 7:35 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28434 and 3385?\nAnswer: 142170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*b - 25*b - 18 = 14*y - 13*y, -2*y = 3*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-16576)\/(-80) - (-2)\/(-10) - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 8*p**2 - 87*p + 5. Let m(a) = 13*a**2 - 131*a + 8. Determine 5*m(w) - 8*q(w).\nAnswer: w**2 + 41*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -6*v**2 - 5*v. Let w(j) = 7*j + 24. Let x(u) = -8*u - 28. Let t(m) = -7*w(m) - 6*x(m). Give 3*b(o) - 15*t(o).\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 62 + -53. What is the highest common factor of i and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363389*t + 427 = -363382*t for t.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001055123 to 5 decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 1:22 AM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/1 + 168\/(-28). Suppose -2*v = w*a - 511, 3*a + 12*v - 497 = 17*v. Is a a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35518 = 5*p + 10653. Suppose -5*o + 782 = -p. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*s + 45*n - 70 = 46*n, -3*n - 6 = -2*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/11 in 5, 3216\/11, -1\/5, 0.4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -321 - -540. Is 47 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89436*k + 40*k**2 + 89436*k.\nAnswer: 40*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 722184224 a multiple of 152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of 719*b**4\/3 - b**3\/3 + b**2\/2 - 2075*b. What is the second derivative of m(v) wrt v?\nAnswer: 5752","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 5*m**2 - 12*m - 6. Let h be a(4). Suppose 31 = 2*b - r, 4*b = b - 2*r + 29. Calculate the greatest common factor of h and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 5*a**2 + a + 12. Let n be d(-5). Let j be (9\/(-12))\/((-4)\/32). Suppose 0 = j*b - 2*b - 16. Solve -n*q + b*q = -6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6b5 + -199?\nAnswer: -892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1616 + -1698.1. Let h = -21.7 + k. What is h rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-295)\/(-20) + (-6)\/8. Let f be (-2)\/7 - (-284)\/i. What is the units digit of f\/(-1*4\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25.71 - 15.2. Let p = w - 10.5986. What is p rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/((-2)\/((5 + -3)\/2)). Suppose -46 = -4*m - 5*j, -m = o*j - 2*j - 15. What is the remainder when m is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = 25*t - 24*t. Let v = t - -225. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - h = 1163, -h - 858 - 596 = -5*v. Calculate the remainder when v is divided by 55.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 893963.6l in millilitres?\nAnswer: 893963600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 453 = -447 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1198\/3 + -400. Which is smaller: f or -83\/6?\nAnswer: -83\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37 + 37. Let w(d) = d + 2 + v*d - 3 + 2. Let b(o) = -7*o + 5. Let u(y) = 3*y - 2. Let c(r) = -4*b(r) - 10*u(r). Calculate w(c(s)).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2\/3, -2.8 in ascending order.\nAnswer: -2.8, -2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21353211 - -2?\nAnswer: -21353205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 24017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 386?\nAnswer: 1544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 13*b - 19*b. Let r be 5*(-10)\/(-54) + -1. Are r and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u. Let z(y) = -8*y + 41. Let k(h) = 3*m(h) - z(h). Let b be k(9). Solve f + b*x - 3 = 0, -4*f - 2 = -4*x + 6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 10:21 PM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 128657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 5 = 3*t. What is the remainder when 42 is divided by 17 + (t\/2)\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 8399 = t, 5*u = -5*t + 8*u + 42133. List the prime factors of t.\nAnswer: 8423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -l**2 + 652250*l - 106357515625 = 0.\nAnswer: 326125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**7\/(d**(1\/3)\/d))**(-32) assuming d is positive.\nAnswer: d**(-736\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + -2. Let k(m) = -m**3 - 2*m**2 + 2*m. Let r be k(h). Suppose 2*g - r*s - s = 6, -5*s = -25. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1\/7)*a\/(a*a**(-9))*a*a**(-2\/27)\/a*a**22 assuming a is positive.\nAnswer: a**(5818\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 2\/3, -2\/3, 0.3, 0.2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*10\/45*(-3)\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -330 or -661\/2?\nAnswer: -661\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1388)\/(-123) + 58718\/(-5181)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 90 - 85. Suppose -4*z + o*z = r, -z - 4*r = -25. Solve -2*u + z*p - 3 = -5*u, -4*u - 25 = -3*p for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 1:38 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 + -64.4. Let w = b - -64. What is the third biggest value in 3, w, 19?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 30 = -5*a, 3*a - 18 = -4*t + 2*t. Let u = 4 - a. Is u < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -345.0000147 - -345. What is t rounded to six dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -9 + 3*z**2 + 8 + 5*z - 3*z**2 - 5*z**2 + z**3. Let b be k(4). Solve -2*c + 12 = 4*w, -4*w + 0*c + b*c = -2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + 81180 = -5*s. Let i be 1\/3 - (-2321)\/s. Which is greater: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (623\/(-445))\/((-24)\/(-5) - 5)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -229721 and 76.\nAnswer: -229645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 702 by 18.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3075313849?\nAnswer: 2017, 1524697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000933 to seven dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/19)*y)**(-3\/19)\/(y**6)**(3\/17) assuming y is positive.\nAnswer: y**(-7569\/6137)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 602671.3 millilitres?\nAnswer: 602.6713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2760a (base 13) in base 3?\nAnswer: 10201212011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00070777 to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 11069352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (0 - (-3 + -2) - 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -8. Let n = -0.16 + 2.16. Let k be 1\/5*35\/77. Which is the closest to -1? (a) n (b) k (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (-624)\/64)\/((-1)\/(-36)*-3)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**4 + 16*x**3 + 100*x**2 - 64*x - 336 = 0. Calculate x.\nAnswer: -3, -2, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 4*j**2 + 6*j + 6. Let l(z) = 5*z**2 + 7*z + 7. Let h(g) = 4*b(g) - 3*l(g). Calculate h(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 11*l + 1. Suppose 4*h = -s + 40, 0 = 7*h - 10*h - 4*s + 17. Determine n(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of -f**8\/336 + 11*f**7\/210 + f**6\/15 - 49*f**5\/15 - 56*f**4\/3 - 128*f**3\/3 + 27*f**2 + 2*f - 81. Factor r(u).\nAnswer: -(u - 8)**2*(u + 1)*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 11:21 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 160632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m - 14*m + 20 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 380494208\nAnswer: -3\/190247104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4593 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 1 + (1 - -1). Suppose -j*f = 2*f. Solve 0*o - 3*o - 3 = f for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yrg when three letters picked without replacement from rgccdegccyggg.\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236 is divided by ((-136)\/(-102))\/((4\/18)\/2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/21, -5, 4, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b - 3 - 3 + 1 + 3. What is c(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4928*d + 167384570 - 167384570.\nAnswer: 4928*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.29 + -1.49. Let x be 11 + 0 - (3 - 4). Suppose -8*z = -4*z - x. What is the closest to 0 in z, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -m**8\/6720 - m**7\/280 - 3*m**6\/80 - 9*m**5\/40 + m**4\/3 - 4*m. Let u(h) be the third derivative of v(h). Factor u(i).\nAnswer: -(i + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + a + 6. Calculate s(6).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -110 in increasing order.\nAnswer: -110, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.4107816 rounded to the nearest integer?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129 - 198 + 327 - 3*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 186\/65 - 32\/13. Suppose 52*t - 51*t = 2. Let a be (-6 - -4)\/(1 - t). Put a, 2\/35, d in decreasing order.\nAnswer: a, d, 2\/35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -130 + 132. Factor -4\/5*p**3 + 0*p**b + 8\/5*p**4 + 0 + 0*p - 3\/5*p**5.\nAnswer: -p**3*(p - 2)*(3*p - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 6 - 6)*(-994*x**2 + 3458*x - 3458*x).\nAnswer: -10934*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i + 5*i - 4*i + (3 + 1 + 0)*(3*i + 5 - 5).\nAnswer: 11*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 152*n**2 + 843*n + 9085. Determine r(-157).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -13. Let h = -19 + r. Is 0 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 14022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r**3 - 5. Let x(o) = 2*o**3 + 2. Let j(k) = -3*f(k) - 5*x(k). Let b(w) be the first derivative of j(w). Let b(i) = 0. Calculate i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1201, 1217, 1229, 1237, 1241, 1241, 1237?\nAnswer: 1229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21.5 + 22. Let p = -0.51 + 37.51. Let v = -39 + p. What is the second smallest value in v, -5, h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bpyfppsppxypbppppp. Give prob of sequence py.\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -71, -1480, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 11*l - 44. Let h be n(-6). Let j be 0 + (-2 - h)\/2. Solve -30 = -j*q - 6 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 22*g + 3. Let a be z(22). Suppose -a*k - 100 - 77 = 0. Let r = k - -132. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 798904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from luprutulpppp. What is prob of sequence pt?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a gram in micrograms?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 5*d - 1. Suppose m - 3*x = 2*x + 23, 5*x = 4*m - 17. Let t(c) = 3*c**2 + 3*c + 2. What is the lowest common multiple of w(3) and t(m)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffkkffffffkkffffkf. Give prob of picking 4 f.\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 169 + -201. Let i = -30 - u. Calculate the least common multiple of i and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**5 + 2*r**5 - 3*r**5)*(0 + 1 + 0) + (5*r + 3*r**5 - 5*r)*(0 + 0 - 1).\nAnswer: -r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -639*d + 2368576 = 2437588 for d.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o**4 - 224*o**3 + 3876*o wrt o.\nAnswer: 24*o**2 - 1344*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6, -8, -10?\n\"Answer: -2*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 14. Let l(x) = p*x - 5 - x + 6. Give l(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 9*j - 12. What is the least common multiple of 32 and r(2)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**3 + j**3 - j**3)*(5*j + 5*j - 5*j) - 3*j**4 + 5*j**4 - 3*j**4.\nAnswer: 4*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of 91*h**5\/30 - 7*h**4\/24 + h**3 + 3*h**2. Let k be w(-6). Suppose 0 = -n - 2*n - k. What is n rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -l**7\/1260 - l**6\/360 - l**4\/12 + 3*l. Let s(k) be the third derivative of q(k). Factor s(t).\nAnswer: -2*t*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -31*s. Let y(o) be the second derivative of -5*o**3\/3 + 13*o. Determine i(y(z)).\nAnswer: 310*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10282*i**2*k*x - 44*i**2*k - i**2*x - 20*i**2 + 38*i*x - 47*i + 13*k - 55*x wrt k?\nAnswer: 10282*i**2*x - 44*i**2 + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 30*x**2 - 53*x + 48. Is w(17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1 + -1*sqrt(539)*-2 + -5 + -1)**2.\nAnswer: -336*sqrt(11) + 2300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 3:16 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from srrn. Give prob of picking 1 n and 1 s.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7 + 6 + (-2 - -4))*39. Suppose 17*d - 129 = k. Sort d, 1, -4 in descending order.\nAnswer: d, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34322632163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37 - 79. Let q = g + 47. Solve q*c + w = 14, 0 = -0*c + c - 2*w - 5 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 1)\/(78\/(-728286)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-2\/5)\/y*y)**(27\/4))**(-42)\/(((((y*y*y\/(y**(1\/7)\/y)*y)\/y)\/y)\/y)\/(y**6*y)*(y\/(y**(1\/4)\/y))\/(y\/(y\/y**(-3\/4))*y)) assuming y is positive.\nAnswer: y**(-5826\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-1*27 - 58\/(-58))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of p**3\/3 - 2*p**2 - 6*p. Let h be 3\/((-3)\/(-8)) + 0. List the prime factors of v(h).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -369*v + 370*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 2*f**2 + 2 - 818*f**4 + 824*f**4 - 5 + 18*f in the form m*f**4 + h*f**2 + d*f**3 + u*f + k and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53450, -106896, -160342, -213788, -267234, -320680?\nAnswer: -374126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 0. Suppose 3*k + a = k + 47, -u*k = -2*a - 60. Let c = 155 + -100. What is the highest common factor of c and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 51500\nAnswer: -1\/10300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.126027769 rounded to 3 dps?\nAnswer: -0.126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) 27.375 (c) -5 (d) -1 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 21. Let c be (12\/(-10))\/((-4)\/10). Put -2, c, u in decreasing order.\nAnswer: c, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y + y. Suppose -b = -y*b - 2045. Suppose b = -5*k + 10*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.7 + -8.70000181. Round w to 7 decimal places.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100121100021 + -10121?\nAnswer: -100121110212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 58 - (-45 + 33 - (-2 - 2)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3843289 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 493*l + 24128. What is a(-49)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - -1)\/(((-6)\/(-5445))\/(-2)). Is 2\/(-5*6\/j) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 547 a factor of 18594718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 15021105 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: Evaluate -4 - -1 - 1 - (-13 - -12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 46642920 and 46642922 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1671007 (base 8) in base 4?\nAnswer: -1313020013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -119 - -122. Suppose -1245 = -32*a + 28*a + 3*g, -n*a - 4*g = -940. Is 24 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 100072, 200129, 300176, 400207, 500216, 600197?\n\"Answer: -n**3 + n**2 + 100061*n + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 660744 and 836073?\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -10*k**2 - k - 11. Let n(f) = -28*f**2 - 3*f - 34. Give -8*j(q) + 3*n(q).\nAnswer: -4*q**2 - q - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2393 or 2392?\nAnswer: 2393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1242*z**5 + 1763*z**4 - 2*z**3 + 34715375*z**2 + z - 3?\nAnswer: -74520*z**2 + 42312*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 368055 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009416393 rounded to six dps?\nAnswer: -0.000942","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -105a (base 11) in base 7?\nAnswer: -4033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -k**5\/30 + 15*k**3 + 73. Let m(r) be the third derivative of v(r). Let a(o) = 31*o**2. What is m(a(n))?\nAnswer: -124*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-1\/12))**43)**(-44) assuming n is positive.\nAnswer: n**(-6149\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 2*k + 3*k - 90, 0 = -z - 3*k + 28. Calculate the remainder when z is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 5:01 PM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 392555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 74 + -70. Let t(c) = -11*c - 14*c - 2*c**2 + a*c - 7*c. Let g(p) = -2*p. Give g(t(z)).\nAnswer: 4*z**2 + 56*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/5461817 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*v**2 - 237*v - 117.\nAnswer: -3*(v + 39)*(2*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3360560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1434 - -1013030?\nAnswer: 1020014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -8*t**3\/9 + 592*t**2\/9 + 598*t\/9 + 50\/3 = 0?\nAnswer: -1\/2, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cwww when four letters picked without replacement from cccwwwcccc.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54978 and 16865898.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 5280*u + 1870. What is the tens digit of w(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = -5*y + o + 124 - 53, -y - 2*o - 8 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2945 - -279. List the prime factors of m.\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*j + 3*j - 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**1)**(-44))**4\/(((g*g*g**1)\/g)**(-48))**(-2\/25) assuming g is positive.\nAnswer: g**(-4592\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(63) + 2 + 3 + -2)**2.\nAnswer: 12*sqrt(7) + 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4 (b) -3 (c) -4\/7 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 t, and 1 l when four letters picked without replacement from lgotgl?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7561, -7559, -7557, -7555, -7553?\n\"Answer: 2*o - 7563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 8*l - 21. Let j be y(-6). Sort 5, j, -4 in increasing order.\nAnswer: j, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 33*q**2 - 2*q - 1. Suppose -2*b + 8 = 0, 2*i - 4*b + 35 - 291 = 0. Suppose -2*g + i + 132 = 0. What is the remainder when g is divided by m(-1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 + 25.8. Let g = -1.5 + b. Round g to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 7:10 PM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/(182\/60))\/((-147)\/((-225351)\/(-146))).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l + 0*l + 3*l)*(3*l - 3*l - 2*l**3) - 3*l**4 + 9 - 4 - 1 in the form o*l**4 + n + k*l**3 + b*l + s*l**2 and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -58.9.\nAnswer: -58.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c - 351 + 340 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 2. Calculate the remainder when a is divided by (-1)\/5*-5 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 - (-12 - (-25 + 27)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -2. Let j(s) = 34*s - 2. Let f be j(b). What is f rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0687 and -1953.\nAnswer: -1952.9313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 1 = -6*i. Solve 0 = i*k - 0*k + 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31014241 (base 5) to base 12\nAnswer: 101450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 242561\/1347 - 1984489165\/123924. Let h = -15833 - j. Let w = 68\/3531 + -258307\/28248. What is the common denominator of h and w?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -907995 divided by 302665.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, x: 8, q: 2, l: 2}. Give prob of picking 2 q.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -19*b**2. Let o(x) = -9*x - 8*x**2 - 3*x**2 - 5*x**2 + 3*x**2. Let m(g) = -6*g**2 - 4*g. Let s(n) = 9*m(n) - 4*o(n). Determine w(s(l)).\nAnswer: -76*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 248*c**2 + 365 - 1053*c**2 - 350 as i + o*c + l*c**2 and give i.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1399, 2921, 4697, 6853, 9515, 12809, 16861, 21797?\nAnswer: 27743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62, -5, 201, 2 in descending order.\nAnswer: 201, 2, -5, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 34*j + 1221. Give i(-36).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, q: 3, r: 1, s: 1, y: 2, h: 3}. Give prob of sequence yy.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-62)\/(-4))\/(6\/12). Let f = j + 0. Suppose t - 46 = f. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z + 0*z - 3*z - z - 4*z + 3*z + (1 - 2 - 1)*(0*z + z + z) - 308*z + 57*z - 121*z to f*z + b and give f.\nAnswer: -377","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-29)\/145)\/(2\/(-6))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007667315 to seven decimal places.\nAnswer: 0.0000767","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189 - 161 = -2*z. Calculate the highest common factor of 245 and z.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 32 = -10. Suppose -147 = -l*g + 7. Is g a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*o - 0*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6455070 and 2725474.\nAnswer: 122646330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -2 + (48\/21 - 4)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fiiflfiffffit. Give prob of picking 1 l and 3 i.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 8*d - 18 = 0. Suppose -1185 = -12*v + d*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11015 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -62512420*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 85127036?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 12:27 PM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 1 + 0*w + 8*w - 3*w - w + 142*w**3 to z + s*w**2 + d*w + k*w**3 and give k.\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -7 + 139742*f**2 - 7*f - 139737*f**2 - 1 + f**3. What is l(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32231205?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -4*k - 32. Let h = -5 - k. Suppose -2*s - 2*y = -4*s + 28, -h*s + 77 = 4*y. Round s to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -6*k + 14*k + 7 - 24*k. What is the hundreds digit of h(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1624099869.\nAnswer: 3, 7, 8593121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3 - -3694252?\nAnswer: 3694249.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 6*s**2 + 6*s - 7. Let t be c(5). Let j be 9\/84 + (-4)\/16. Sort t, j, -4 in ascending order.\nAnswer: -4, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2012342 (base 5) in base 4?\nAnswer: 13313132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-3\/7)*m**1*(m\/(m*m**(1\/3)))\/(m*m**5))\/(((m\/m**(-2))\/m**1)\/(m*(m\/(m\/m**(-2\/5)*m))\/m)**6) assuming m is positive.\nAnswer: m**(-1502\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -16\/5, -0.1, -3, -2\/13, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 4*g - g)*(2*g**2 + g**4 - 2*g**2) + 14*g**5 + 61*g**5 + 18*g**5 + 3*g**3 - 3*g**3 + 2*g**5.\nAnswer: 97*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 909 and 404.\nAnswer: 3636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - x = 8, 2*u + 8 = -0*x + 2*x for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 112 - ((46 - 15) + 28).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -414379\/79 less than -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-2\/35)*l*l\/(l\/(l\/(l*l**11))*l)*(l\/l**(-22))**35)**(-17) assuming l is positive.\nAnswer: l**(-472991\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*j + 2*j + 73 + 4*j - j - 19*j - 2*j.\nAnswer: 6*j + 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4895070 and 10769154.\nAnswer: 53845770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*c - 35*c + 124*c = -24 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 times 0.05?\nAnswer: -0.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/9 and (-171)\/35 - (-124)\/434.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2560 = 6119*a - 6199*a for a.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -12*g**3 + 46*g**2 + 9*g - 15. Let n(j) = -5*j**3 + 23*j**2 + 4*j - 7. Let r(o) = -2*h(o) + 5*n(o). Is r(21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, 1, 7, 13, 19?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 279532473.4 - 0.191\nAnswer: 279532473.209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/190 and -61\/22.\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/185750 and 63\/30277250.\nAnswer: 30277250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 380305\/119 smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00097799741 rounded to four decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 12*p + 289. Is 67 a factor of n(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3573663 - 1123800 = 117*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v + 2, 3*n + 10*v - 7*v = 3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 475052654 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -132, -114, -78, -18, 72, 198, 366, 582?\n\"Answer: i**3 + 3*i**2 + 2*i - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6756.279 tonnes?\nAnswer: 6756279000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21*(40\/30 + -1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 211*t + 51 = -166*t, -5*w + 2*t + 8 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -397, 0.1, 0.5 in decreasing order.\nAnswer: 0.5, 0.1, -397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 792.107 and 120?\nAnswer: 95052.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of h**3\/3 - 3*h**2 + 3*h - 84. What is j(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**2 + 17*r + 2. Let y be x(8). Suppose -g = -6*g + y. Find the second derivative of -6*s - 4*s + 11*s + 3*s**g wrt s.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6682, -6552, -6204, -5530, -4422, -2772, -472, 2586?\n\"Answer: 18*b**3 + b**2 + b - 6702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of 4*t**3 - 20. Let m(z) = -z**2. What is i(m(r))?\nAnswer: 12*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -76454*y**5 - 994176*y**2?\nAnswer: -4587240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uhhuuhh. Give prob of sequence uhhh.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1899\/92 - 55127\/4692. Let p = -154\/17 + v. Which is the closest to -0.1? (a) 0.3 (b) -2 (c) -7 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 395358*w**2 + 394999*w**2 - 790373*w**2.\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-3 - -1) - (0 + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*l - 23*l = 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 0 + 4 + 0*q**2 - q + q**3 + 5*q**2. Let f be a(-5). Which is bigger: 10 or f?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 + 16. Let s = f - 14. Calculate the highest common factor of s and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 74.9915?\nAnswer: 22.49745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2641.8083 - 1?\nAnswer: -2642.8083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1479340 - -135043. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5724, 45396, 153080, 362784, 708516?\n\"Answer: 5668*w**3 - 2*w**2 + 2*w + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17871914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 8:50 PM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, q: 1, r: 13, j: 1}. Give prob of sequence rq.\nAnswer: 13\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 831789 = 831789?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -69, -175, -333, -549, -829?\nAnswer: -1179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1309*k + 1556 = 247 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5713414548.00000077 + 5713414498. Let h = 3 + -53. Let p = d - h. Round p to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -393?\nAnswer: -2\/393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -16af (base 16) in base 4?\nAnswer: -1122233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(-3 + 3 + 2*g)*(1 + 4 - 1).\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 0.1, -1.226?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 568\/112)\/((-50)\/900 - 0)\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13574 a multiple of 253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 779 divided by 4\nAnswer: 779\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 4. Suppose -o*n = 5*i - 29, 27 = 2*i - 3*n + 4. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 24*x**2 + 3*x + 93. Let u be g(-24). What is the greatest common factor of u and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*a - 3*f, 2*a + 0*a = f + 9. Suppose 12*r + a = 13*r. Solve 5*x + 7 = -4*z - 2, -z + 5*x = -r for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is ((-795)\/(-10) - -2)\/((-1)\/(-6)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 2*z - 2. Let b be g(4). Suppose -2*w - 3*w + 20 = 0. Solve 2*t - b*t = w for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -280 by 56.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65 and 41691?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -274009300 to the nearest 1000000.\nAnswer: -274000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a millimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h**2 - 7*h**2 - 4*h**2)*(-28*h**3 - h**2 + 2*h**2 + 34*h**3).\nAnswer: -102*h**5 - 17*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-one halves of a day?\nAnswer: 22320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(22)\/((sqrt(264)\/sqrt(6))\/sqrt(4)))**2 - -4*6*sqrt(2)*-5*-4.\nAnswer: 3 + 480*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/179427, -8, 2\/5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22845 by 2296.\nAnswer: 22845\/2296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 80534?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 5*r**2 + 5*r + 6. Calculate m(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 10, 0 = q - 4*q - 5*f + 187. What is the remainder when q is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 3:28 AM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**4 + c - c)*(2 - 1 - 3) + 2*c**4 + 5*c**4 + c**4 + 2*c**4 + 1 - 1 + (-5*c**2 + 5*c**2 + 2*c**2)*(2*c**2 - 2*c**2 - 2*c**2).\nAnswer: 10*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 241344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*d + 94 = -0*b, 233 = 2*b + 5*d. Suppose c - 1 = -u - 0*c, -5*u = 2*c - 17. Suppose f = -5*k + 100, -4*k + 0*f = -u*f - b. Is k a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -127908132 - -32.\nAnswer: -127908100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 1:05 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mi when two letters picked without replacement from {i: 1, r: 1, m: 12}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26370272?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, a: 2, e: 2, p: 1, w: 1}. What is prob of picking 1 w and 1 p?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-5) - (-66)\/10. Let s(g) = -7 - g + 12 + 5. What is the units digit of s(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 116904 = c - 117594. Is c <= 104?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508201232 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5688145151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) 0.03 (b) -1\/3 (c) 691\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -350.5 from 27162250.\nAnswer: 27162600.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43 - -232. Suppose h + 623 = 4*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 32\/5 of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 4.786258 nanometers?\nAnswer: 0.004786258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-2\/5)*q))**(-8)\/(q*q**(-1)*q**(-7)))**(-1\/9) assuming q is positive.\nAnswer: q**(-19\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iyym when four letters picked without replacement from {o: 4, y: 4, i: 2, m: 10}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-2\/11)*g**(5\/6))\/(g**0*g\/g**(-2\/13)) assuming g is positive.\nAnswer: g**(739\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2018 + 3135. Is 57 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 - 13. Suppose 7*k + k + 16 = 0. Let z = k + l. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 6*b = -70. Solve q = 4 - b for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - 21\/(-6))\/((-4)\/(-432)). Suppose g + y = o, -372 = -4*g - y + 273. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 9*p**2 + 9*p - 9. Let w be m(10). Let f be (w - -9) + (-4)\/(-2). Let b(q) = q**2 + 7*q + 1. What is b(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19517?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76782 is divided by 38388?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5838736?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -6*h - 9. What is the remainder when 28 is divided by v(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*t**5\/23 - 8712*t**4\/23 + 68776*t**3\/23 - 63332*t**2\/23 - 68826*t\/23 + 72044\/23 = 0 for t.\nAnswer: -1, 1, 31\/25, 7, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 80\/9 <= 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 13 = 5*r, -3*u = -3*r - 0*r - 3. Let h be -1*u*(2 - 0). Solve 0 = 4*o + 5*q + 24, 3*o + h*q = 2*o - 9 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1022100 (base 3) to base 8.\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 0.061, 4, -0.8, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 122818 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3378, -3381, -3390, -3405?\nAnswer: -3426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 75826767 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.19 * -4602.\nAnswer: 5476.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.7 and -1259.8.\nAnswer: -1260.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -292*c + 10 = -4*t - 291*c, -5*c = -10. Let b(z) = -2*z + 4*z + z + 8 - 3. Let s(x) = 3*x + 4. Calculate t*b(l) + 3*s(l).\nAnswer: 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48*f - 23*f - 17*f**4 - 23*f)*(5*f - 3*f + 5*f).\nAnswer: -119*f**5 + 14*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1961337 and -0.1.\nAnswer: 196133.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 13*y + 36 - 10\/3*y**3 + 0*y**2. Differentiate j(m) with respect to m.\nAnswer: -20*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 2*z**2 - z. Let p be h(-2). Suppose 2*v + p*v + 496 = 0. Let n = v + 176. Does 13 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -831*v**3 + 2*v + 3099 with respect to v.\nAnswer: -2493*v**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*a**3 - 4*a**3 + 3*a**3 + 3 - 3 - 2*a**3 + (-2*a + 2 - 2)*(2*a**2 + 2 - 2))*(-8 + 9 + 11) to s + b*a**3 + r*a + f*a**2 and give b.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6109?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 9:32 AM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o. Suppose 544 = -13*d - 678. Let g = d + 126. Let f(c) = 27*c + 35*c + g*c - 95*c. What is 7*f(u) + 6*r(u)?\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(-15)\/j))**(-34)*j**(-2\/107)*(j\/(j*j**11*j))\/j*j*j*j assuming j is positive.\nAnswer: j**(-62918\/107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 5435\/4 = 1359?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 - (-1 + (28 - 7))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 792 + 3178. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - 2*c + 0*c)*(-c + 4*c - 5*c) + 1 + 5 - c**2 + 0 + (-3*c**2 + 4*c**2 + 0*c**2)*(0 + 0 + 1) + 2*c**2 + 1 - 1.\nAnswer: -2*c**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 14 + 24. Suppose -6*q + 7*q + 10 = -2*p, 0 = 5*q - w*p - 10. Solve -5*z - 16 + 6 = q for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 2. Suppose 2*s + 3*c - 1 = 0, s + 3*s - 4 = -4*c. Put s, n, -5 in increasing order.\nAnswer: -5, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209)*-2*5)\/sqrt(11)*-5 + -1)**2.\nAnswer: -100*sqrt(19) + 47501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84487 is divided by 21119?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1273 (base 12) in base 3?\nAnswer: -2212220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12403 (base 5) to base 7\nAnswer: -2565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 130 = 3*t. Let i(n) = 332*n - 1657. Let j be i(5). Sort j, -1, t in increasing order.\nAnswer: t, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 at least as big as 88\/110483?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 30499 smaller than 30467?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*f + 30*f = -6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47461108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010001101101111010 (base 2) to base 10.\nAnswer: 334714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 9:21 AM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*o = -4*u - 47*o + 26, -5*u = -4*o. Solve u*r - 71 = -67 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ottttttttttttf. Give prob of sequence of.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a9 (base 16) to base 5.\nAnswer: 12222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5063855 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -16*r**5\/7 + 16*r**4\/7 + 108*r**3\/7 - 16*r**2\/7 - 68*r\/7 + 24\/7 = 0.\nAnswer: -2, -1, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 141\/12 - 4\/(-32)*2. Suppose 2*o = 8, -2*o = 4*z - 6*o - f. Let h = 5 + -2. What is the smallest common multiple of h and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2684355*k + 5368714*k - 2684362*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 6*j**2 - j - 1. Let c(p) = -p**2. What is 14*c(u) + 2*d(u)?\nAnswer: -2*u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + 3 - 3) + 4. Suppose -t*y + 3*y + 586 = 0. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - 2. Let k be (234\/130)\/((-9)\/(-15)) - (-28)\/(-6). Put 3, m, k, -3 in descending order.\nAnswer: 3, k, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 659989580?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - 2. Let n(r) = 4*r**2 - 4*r + 101. Let z(x) = -5*f(x) - n(x). Let k be z(-12). Solve -v = 4*v + k for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (72\/5)\/(-6) - 9\/(-15). Suppose -12 = 3*o + o, -4*o = -5*u + 27. Is u != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3ab2a07 (base 12) to base 9.\nAnswer: 23870847","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 183251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1843825047?\nAnswer: 3, 614608349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5318599 rounded to three decimal places?\nAnswer: -0.532","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 342085\/15 + ((-78)\/(-18) - 3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (-2 - -4)*2. Suppose -2*w = -w + y. Let z(x) = x**2 - x. Give z(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-2))\/((-775)\/40 + 20).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5*z = 0. Suppose 9 = -5*c - 6. Let o = 2668 - 2674. Sort z, c, o in decreasing order.\nAnswer: z, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0*c + 3*g = -49, 2*c = 4*g - 118. Let j be 3\/(-15) + c\/(-25). Solve -3*w = -w + 6, 0 = -3*o + j*w for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 76768 - 19115203\/249. Let o = 9084 + -299732\/33. Calculate the common denominator of o and i.\nAnswer: 2739","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9195625?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -95258*w**3 - 2*w - 6*w**2 + 2 + 4*w**2 + 95258*w**3 - 383*w**4 as i*w**2 + s*w**3 + q*w**4 + r + t*w and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(539) + 0)*-5)**2.\nAnswer: 13475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-23 + 22)\/((-7)\/139223)?\nAnswer: 19889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*p - 35*p + 16. Suppose -4*j = -p*j + 8. Suppose 0 = s + 4*w - 6, 3*s - 4*s - 5*w = -j. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24\/5*l - 48\/5 + 36\/5*l**2 - 6\/5*l**4 - 6\/5*l**3 = 0. Calculate l.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -4*j - 3 - 46, 15*j - 5*v - 15 = 18*j for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 4, 11, 471, 5 in decreasing order.\nAnswer: 471, 11, 5, 4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -10*i**3 - 1562*i**2 - 330*i - 2903. Determine y(-156).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-166)\/18 + 12\/54\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of 0*d**2 + 2\/3*d**3 - 7\/12*d**4 + d + 0. Find the second derivative of n(w) wrt w.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/22? (a) -17 (b) 2\/3 (c) 0.5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*j + 9 = 1, -j - 11 = 2*z. Let g be z\/6*(0 + (-4)\/8). Factor -a**3 + a - 1\/3 + g*a**2.\nAnswer: -(a - 1)*(a + 1)*(3*a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280 is divided by 226.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28041 is divided by 532.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-423)\/6 + (20\/(-8) - -4). Let q = d - -68. Let k(f) = -136*f - 4. What is the units digit of k(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*g - 25*g - 55 = 4*f - 12, -538*g = f + 31738 for g.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.027 (b) -2 (c) 0 (d) 287\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 3 + 3)*(-51664 - 51630 + 105744).\nAnswer: 2450*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l - 9. Let s be b(-6). Let v(w) = w + w + 2*w - 4 - w**2 + s*w**3 - 6*w. Calculate the remainder when v(3) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.5 + -2. What is the nearest to 1 in 0, l, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**21*v)\/v**(14\/9) assuming v is positive.\nAnswer: v**(184\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 22*x + 11. Let u be t(-27). Suppose 4*q - 5*m - 43 = 54, -5*q = 2*m - u. Let b = q + 200. Is b a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/27 - (-352)\/(-288).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -p**3\/6 - 3*p. Let h(g) = -2*g + 1. Let o be h(-2). Let r(k) = -4*k + k + o*k - k. Give r(s(n)).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 513 is divided by 37.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/432277, 0, -1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*x - 11*x + 20*x)*(-x - 2*x**2 + x) + 0*x**3 + 2*x**3 - 3*x**3.\nAnswer: 25*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yjqp when four letters picked without replacement from wqqpwwyqqqiyj?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -966.7 and -3.73.\nAnswer: -970.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 12*d**2 - 32*d - 10. Let y be t(3). Solve 4 = -4*z + 2*j, 5*z + 5 = -y*j + 6*j for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in six fifths of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1, -2\/29, 89\/4, 3, 4\/7, 5?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -14*t**3 - 5*t**2 + 34*t + 7. Let i(d) = -22*d**3 - 8*d**2 + 51*d + 11. Determine -5*i(n) + 8*s(n).\nAnswer: -2*n**3 + 17*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -73, -4, -10.64, -1, 0.62?\nAnswer: 0.62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201332 is divided by 78?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 478*s*t**3 + 301*s*t**2 - 2*t**3 - 288506 wrt s.\nAnswer: 478*t**3 + 301*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 304*d + 32. Let r(k) = 61*k + 6. Let p(t) = 3*j(t) - 16*r(t). Let w(z) = -2*z. Calculate w(p(f)).\nAnswer: 128*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 1, -18, -3, -173.\nAnswer: -173, -18, -3, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 245576059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -404*t + 9703. Give c(24).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 10*r**3 - 2*r**2 - r + 3. Let f be p(-2). Let u = f - -87. Suppose 8 - 1 = w. Solve -u = 3*n - w for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 3*y + 24 = 0, -10 = -r - 5*y + 1. Let k(p) = -14*p - 111. Calculate the remainder when 21 is divided by k(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11900 + 11904 - 23799 + 23*g**2.\nAnswer: 23*g**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 64333829*h**5 + 3*h**2 - 406511380*h.\nAnswer: 1286676580*h**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 6. Suppose -2*v = -2*m - m - 8, 4*m + 5*v = 20. Suppose m*y = -3*y - 4*i + 32, 2*i = -y + 10. Solve y = j*a - 3 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -275, 2\/70445 in descending order.\nAnswer: 0.1, 2\/70445, -275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + 0 + 20\/(-5). Let q(k) = -2*k**2 - 10*k + 14. Let a be q(-6). Let t be (-5)\/1*a\/(-5). Solve -b + 0*b - t = d for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4*u**3 + u**2 - 9*u - 6. Let a(y) = 7*y**3 + 3*y**2 - 17*y - 11. Let v(c) = -3*a(c) + 5*o(c). What is v(-4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 13) to base 12.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1290436, -2580871, -3871306?\n\"Answer: -1290435*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-28016 - -11) + 3\/1. Let t be (-78)\/26 + (1 - p). What is t rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-2 - (2 - 1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 148*i**2. Let a(r) = 63311*r**2 + 63321*r**2 - 126628*r**2. Calculate a(o(h)).\nAnswer: 87616*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/121)\/c**(-47))\/((c*c**(-12\/13)*c)\/(c*c**(-10))) assuming c is positive.\nAnswer: c**(58106\/1573)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-78)\/26*(-1)\/(-9)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 - -803. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-80)\/294) + (28224\/315)\/(-32)\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -29 + 2 - (29 - 3).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(8856*s**4 - 467*s + s**2 - s**2 + 467*s).\nAnswer: 8856*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -77961 divided by 25987\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of 0*l**3 - 321\/2*l**2 + 5*l + 11\/6*l**4 + 15. What is the first derivative of k(t) wrt t?\nAnswer: 44*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 6, t - 7 = -4*y + 5. Let d(w) = -w**3 + 10*w**2 + 6. Let b be d(6). Let g = 165 - b. Solve g = -5*n, t*l = l - n for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 h when four letters picked without replacement from hgghgggg.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 9 = 4*f - 0, 4*f = 24. Solve v - 4 + 10 = -2*r, -h*r = -v + 1 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2006438 and 125818?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 870*p + 652. Let m(g) = 4359*g + 3261. Let b(d) = -2*m(d) + 11*z(d). Differentiate b(k) with respect to k.\nAnswer: 852","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 1:03 PM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -113.2 + 15.8. Round p to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 128931, 257641, 386351, 515061?\n\"Answer: 128710*u + 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 + 61 = -12*t + 151. Let f = -4 - -1. Let a be (-8)\/6 + 2\/f. Put t, -4, 2, a in ascending order.\nAnswer: -4, a, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 282438 and 37557?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1930, 15479, 52282, 123973, 242186, 418555, 664714, 992297?\nAnswer: 1412938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/sqrt(2)*-1 - sqrt(81)\/sqrt(3)*6)\/(4*(-1*sqrt(9)*-1 + sqrt(9) - sqrt(9))).\nAnswer: -7*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**2 + r - 1. Let g(q) = 2*q**2 - 2*q + 6. Let x(c) = 2*c**2 - 2*c + 7. Let z(f) = 5*g(f) - 4*x(f). Give -3*y(p) - 2*z(p).\nAnswer: 2*p**2 + p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o = 3*o + 10. Suppose 0 = -2*b - 3*s + 5, 1176*b = 1180*b - 5*s + 1. Let j = -12 - -5. Put o, b, -1, j in decreasing order.\nAnswer: o, b, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m + 2. Let j be k(0). Let q be (j\/9)\/(1\/9). Solve -5*i - 4*c - 20 = 0, -q*c = c for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11 + 218126?\nAnswer: 218115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 2*b - 71, b - 3*r = -3*b + 97. Let z(d) = 93*d - 7. Let u be z(7). What is the highest common factor of b and u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n**3 - 11*n**2 + 41*n + 26. Let c(h) = 217*h**2. Calculate the remainder when c(1) is divided by l(-6).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 16*y**2 - 28*y + 40. Is b(-16) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(17)*1 + 5).\nAnswer: -10 - 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14321 or 14377?\nAnswer: 14377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217201.\nAnswer: 217201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/4 of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14.9246 or 0?\nAnswer: -14.9246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 8:18 AM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h + 24. Let c be k(4). Let m be c*3\/6 + -4. Let t(n) = 6*n**3 - 7*n**2 + 7. Let s(x) = -2*x**3 + 2*x**2 - 2. What is m*t(g) + 21*s(g)?\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010218213 to 5 dps.\nAnswer: -0.01022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**3 - 3*x**2 - 21*x + 407. Calculate t(5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26694?\nAnswer: 2, 3, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -3401?\nAnswer: -3406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -12\/11 (b) -0.02 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -88.79659 rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 7*l**2 - 2*l - 7. Determine f(-3).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 61*j - 66*j - 3*u - 14 - 113, 4*j + 108 = 4*u for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {w: 5, u: 4, z: 3, d: 7}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -641.8 - 0.01977323.\nAnswer: -641.81977323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 3*f + 31, -25 = -5*f - 0*f. Differentiate -t*r**4 - 41*r**3 - 8 + 41*r**3 wrt r.\nAnswer: -16*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 255\/356?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -ac54 + -6?\nAnswer: -ac5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -165\/827 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 0.0582.\nAnswer: 0.00582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 170890000 rounded to the nearest 1000000?\nAnswer: 171000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aajaajaaaaaajaa. Give prob of picking 2 j.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -27. Suppose 5*m + n*m + 39 = 0. Is -2 less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -12 - 19 + 23 + d**3 - 2*d**2 - 9*d + 5*d**2. Let r be z(-6). Let t = 90 + r. Calculate the highest common divisor of t and 308.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19022778 and 403?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17361 + 17360.1. Which is the nearest to 2\/9? (a) 3 (b) t (c) 4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a kilometer in centimeters?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + (-2*sqrt(132))\/sqrt(12) + -3 + (-2*(sqrt(275) + -1 - sqrt(275)))**2.\nAnswer: -sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - 9*z - 6. Let s(r) = -r - 2. Let t be s(5). Let o be v(t). Find the common denominator of 248\/(-16)*(-6)\/o and -55\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 10:51 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 2*b + 1. Let i be t(4). Let n be 1\/(((-6)\/i)\/(-1 - 1)). What is the derivative of 30*f**3 - 3*f**3 - 2*f**n + 6 - 24 wrt f?\nAnswer: 75*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*m - 14 = 46*m - r, -11*r + 12*r = 18 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3551849 + -1.2\nAnswer: 3551847.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*u**2 + u**2 + 5*u**2)*(-3 - 2*u**2 + 3)*(-u + 0 + 0).\nAnswer: 28*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38 - -12) + (-11 - -25) + 0.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.45 - -4.55. Let i = -0.1 + 0.1. Which is the third biggest value? (a) r (b) i (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -27 + 23, 8*j = -2*z + 209188. List the prime factors of j.\nAnswer: 79, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 17 = 7. Suppose -4*z + 9335 = 5*s, 3*s + p*z - 9325 = -2*s. Suppose -4*d + g = -1488, 2*g - s = -5*d + 4*g. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**3 + a**3 - 6*a**3)*(-7 - 22 + 6)*(-19 + 30 + a - 13) + (3*a + 0*a - 2*a)*(a**3 + 4*a**3 - 6*a**3) + 7*a**4 + a**4 - 2*a**4.\nAnswer: 51*a**4 - 92*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000074291 rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4 - -0.3. Let q be (16\/(-35))\/4 + 56\/140. Which is the second smallest value? (a) q (b) m (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 829538.1 months in millennia?\nAnswer: 69.128175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -794.3 + 1076. Let q = f + -282. Let l be (-36)\/28*(-1)\/3. Put q, -5, -2\/15, l in ascending order.\nAnswer: -5, q, -2\/15, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174 - 177 - (-13 + -2) - -19?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 3*r + 48 = -3*b, -3*r - 5*b + 88 = 0. Let f be ((-5)\/12)\/(39\/r). Let x = -1\/39 + f. Which is bigger: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1878*o = 3*t + 1890*o - 99, 0 = -4*t - o + 27 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 39*b. Let f(j) = 31334521*j**2. Determine f(x(s)).\nAnswer: 47659806441*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + t = 4*y - 12, -11 = -2*y + t. Is 2 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*g**2 + 61*g**2 + 29*g**2 in the form i + q*g + c*g**2 and give c.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1604.\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -527\/4*z + 0 + 1\/4*z**4 - 525\/4*z**3 - 1053\/4*z**2.\nAnswer: z*(z - 527)*(z + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -4989207\nAnswer: -7\/4989207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17747589*l + 3339998.\nAnswer: 17747589","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 4, -3\/7, -2\/5, 17136?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39599 + -22049. List the prime factors of w.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-29)*r)\/r**(-3\/7)*r**16*r**(-1\/5) assuming r is positive.\nAnswer: r**(-412\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.5 (b) 4 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-111)\/(-21) + (-4)\/14. Suppose 0 = -5*c + 30 - g. Suppose 5*k = 2*n - 22 - 25, c*n = -3*k + 40. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of 5\/9*q**2 - 4\/27*q**3 + 228 - 1\/18*q**4 + 4\/3*q. Solve m(d) = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.884 (b) 3\/16 (c) -1.34 (d) 0.2 (e) -2\/13 (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.6466t in micrograms?\nAnswer: 27646600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -1) + 4\/(-14). Let g be (-2)\/10*(-35)\/(-21). Which is greater: g or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50 - 26. Suppose -2*j + 4*j = -g + 15, 3*j + 2*g = l. Calculate the highest common divisor of j and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7459, -7237, -6985, -6697, -6367, -5989, -5557?\n\"Answer: g**3 + 9*g**2 + 188*g - 7657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = -15*f - 27 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -7 + 6 + 2*-29. What is p rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 5*x - 5 + 48 = 0, 4*x = -t + 12. Suppose -3*s - 1 = 2. What is the common denominator of t and 3\/s - (-1)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -14*n + 24. Let z(f) = -5*f + 8. Let k(p) = -4*d(p) + 11*z(p). Let u be k(6). Let v = u - 1. Put 1, -2, v in decreasing order.\nAnswer: 1, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4076 + -3958. What is the remainder when 226 is divided by s?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 89 + -69. Let k(w) = -41*w**2 + m*w**2 + 22*w**2. Let z(j) = -j**2 - 60. Calculate k(z(b)).\nAnswer: b**4 + 120*b**2 + 3600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**2 - 11*z**2 - 6*z**2 + 2 - 15*z. Let t(k) be the second derivative of 1\/2*k**2 - 7\/6*k**3 - 7\/12*k**4 + 0 + 2*k. What is 6*b(n) - 13*t(n)?\nAnswer: n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16361437.\nAnswer: 37, 442201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 7:26 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b**4 - 2*b + 0 - 2 + b**2 + 5 + 3*b as g + p*b + y*b**3 + l*b**2 + m*b**4 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 236 - 239. What is the nearest to -0.3 in -0.1, b, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - p = 6719475. Suppose -2*q - 295010 = -w, -4*q - p = -4*w - 163875. Round w to the nearest 10000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6932641 at least -6932640?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, r: 8}. Give prob of sequence orr.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -62821584, -62821585, -62821584, -62821581, -62821576, -62821569?\n\"Answer: w**2 - 4*w - 62821581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13616471*g**2 - 13149269 wrt g.\nAnswer: 27232942*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1100))**2 + -3.\nAnswer: 1097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -15547 (b) 4 (c) 1\/9 (d) 0.3 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15188*f**3 - 50*f**2 + 3096605*f.\nAnswer: 91128*f - 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence muc when three letters picked without replacement from mmuouuuucuuuumu.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-6) - (-280)\/(-1104). Let u = 0.6 - 0.1. Let r(s) = -s**2 + s. Let v be r(2). Which is the second biggest value? (a) u (b) g (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 9*v**3 + 4*v**2 - 2*v - 2. Let l be s(4). Suppose l = 36*b - 39*b. What is the remainder when 80 is divided by (b\/66 - -3) + (-299)\/(-11)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -512*p - 2383118 + 6832398 = 0. What is the lowest common multiple of 4 and p?\nAnswer: 17380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*o = 89*o - 20. Let j(i) = -i**3 - 3*i**2 + i + 3. Let f be j(-3). Suppose f = -2*b + 6 + 4. Solve -2 = -v - 1, 0 = o*a - b*v + 20 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -t + 360. Let q be (-6)\/t + 2\/12. Which is the second biggest value? (a) 1 (b) 0.5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 10*n. Suppose 3*u = 2*s - 87, -32*s + 133 = -29*s - 5*u. Let l(q) = -s*q**2 + 11*q**2 + 14*q**2. Calculate v(l(b)).\nAnswer: -110*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -150\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(156) - 5*sqrt(156)*-1) + sqrt(156)))\/((-4*sqrt(600) - sqrt(600) - sqrt(24))\/sqrt(2)).\nAnswer: 14*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3335*k**3 - 12*k**2 + 29*k + 6. Let i(r) = -3334*r**3 - 14*r**2 + 34*r + 7. What is -6*i(h) + 7*l(h)?\nAnswer: -3341*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, w: 8}. What is prob of sequence www?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5170 divided by 1034\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*m**2 + 99*m**2 - 1 - 29 + 58*m**2 - 403*m**2 + 4 + 128*m**2.\nAnswer: 2*m**2 - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.067 - -0.433. Let v = 14.46 + -14.36. Which is the nearest to v? (a) 0.08 (b) g (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -113 - -113. Let q(h) = -h - 16. What is q(v)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -1\/120*f**6 + 0 + 1\/2*f**3 + 0*f**5 + 0*f + 0*f**4 - 3*f**2. Find the first derivative of k(l) wrt l.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 3*n + 3*n)*(0 + 0 - 2*n**3) + (-2*n + n**2 + 2*n)*(-92*n - 5*n**2 + 92*n) - n**4 + 2*n**4 - 3*n**4.\nAnswer: -9*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*k, -5*y = -9*y - k + 19. Let h be 2\/2 - 4\/12. Let f = 2 - h. Sort f, 3, y in decreasing order.\nAnswer: y, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4\/19 - -5\/114. Let q = 1.69 + -36.69. Let l = q - -34.9. Which is the nearest to l? (a) 5\/2 (b) 2\/7 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14656 and 63638642.\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7850768.\nAnswer: 2, 43, 11411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 108.37 in decreasing order.\nAnswer: 108.37, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 2*r + 2. Let x(z) = z**2 + z + 1 + 5*z**2 - 7*z**2. Let q(i) = n(i) - 2*x(i). Let m(o) = -o - 2 + 2. Give m(q(u)).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130, -398, -1134, -2572, -4946, -8490?\nAnswer: -13438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1219711 is divided by 8132.\nAnswer: 8043","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/1056 and -3\/8310896.\nAnswer: 49865376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*k**2\/3 - 946*k\/3 - 18868 = 0. What is k?\nAnswer: -534\/19, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-252)\/(-27)*378\/98. Solve i = 25*s - 14 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23 - -5530?\nAnswer: 5505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5269 + -5488. Which is greater: -234 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10688*f**2 - 21373*f**2 + 10682*f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s**3 + 2*s**2 - 3*s + 2. Let i be l(-3). Let q = i - -117. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 645912 = -879*f + 696894 for f.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 9:56 AM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than 1553643?\nAnswer: 1553647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -75 (base 8) to base 3.\nAnswer: -2021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/156 and 13\/95850.\nAnswer: 2492100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6941, 40, 5 in descending order.\nAnswer: 6941, 40, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2263 (base 12) in base 4?\nAnswer: -323223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 25*k - 50. Let p be c(-22). Let t be 20\/(-160) - (-98)\/p. Solve t*x + 7 = -x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c + 41. Let l be o(39). Calculate the greatest common factor of 62 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -5*k**2 - 4*k + 3. Let i(f) = 4*f**2 + 3*f - 2. Let q(x) = 4*i(x) + 3*l(x). Let o = 0 - 9. Let y be q(o). What is y rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -319 or -320?\nAnswer: -320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7478, -49, 2.\nAnswer: -49, 2, 7478","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -180 + 59 + 58 + 63 - 45*g. Let p(h) = -8*h**2. Give p(q(d)).\nAnswer: -16200*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*j - 32*j + 3*j**2 - 56 + 24*j + (-j - j + 4*j)*(-5*j + j + 2*j) in the form l*j**2 + h + m*j and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/1)\/(2\/(-10)). Suppose -2*r = q*h - 29, 32 = -r + 6*r - h. Calculate the greatest common divisor of r and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in x**3\/4 + 1777*x**2 + 3157729*x = 0?\nAnswer: -3554, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -23*p - 7. Let u(m) = -20*m - 8. Calculate -5*f(j) + 4*u(j).\nAnswer: 35*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 11*r - 6. Let b be a(10). Let c = b + -5. Let l(m) = 0 + 2 - 1. Let w(n) = n + 1. Give c*w(y) - l(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by -18*(-5)\/40*4.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-256)*216*4\/(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2743, -10964, -24657, -43822, -68459, -98568?\nAnswer: -134149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/(-80) - 13\/130)\/5. Solve 4*t - 122 + 142 = m for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2116 + -2123. Suppose 0 = 4*o - 4, -5*m - 12 = -4*o + 2. Put m, -3, x in decreasing order.\nAnswer: m, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.33 + 0.08. Round d to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63011.69 millilitres to litres.\nAnswer: 63.01169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 0.5 (b) 2\/15 (c) 0.24 (d) 2\/5 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5167, 10363, 15555, 20743, 25927, 31107, 36283?\nAnswer: 41455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.328 to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 8:01 PM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**2 + i**2 - 2*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42674.\nAnswer: 2, 19, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (507\/60)\/13 - (-5)\/(-4). Sort o, 3, -6 in decreasing order.\nAnswer: 3, o, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 103 - 101 = 0. Solve z*n = p - 3, 0 = 4*n + 2*p + 13 - 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -7, 5, -4 in decreasing order.\nAnswer: 5, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -56a08 (base 16) to base 4\nAnswer: -1112220020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y**4 + 3*y**4 - 5*y**4)*(1 + 6 + 13 + (4 - 1 - 2)*(2 - 3 + 2)) to f*y**2 + l*y**4 + i*y**3 + k + h*y and give l.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) + sqrt(1331)*1*-4 + sqrt(1331))**2.\nAnswer: 5324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 88 - 80. Find n, given that 1\/2*n - n**3 - n**q + 1\/2*n**5 + 1\/2*n**4 + 1\/2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -8*h. Let w(o) = -35*o. Let a(x) = 26*r(x) - 6*w(x). Let m(d) = -4*d**2 + 13*d. Give a(m(q)).\nAnswer: -8*q**2 + 26*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 487.85863 - 21.94635.\nAnswer: 465.91228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00447827 rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -32*p + 142*p - 42 - 87*p - 30*p. Calculate o(0).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 1)*(8*i - 3*i + 0*i)*(-24 - 2 - 25).\nAnswer: -765*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 460031202 to the nearest integer?\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 8*b - 173. Let n be v(18). Solve p = 2*y + 7, -6 = -5*p + n*p for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7915\/13 + 609. Let o = -3.1 - -2.6. Which is the second smallest value? (a) l (b) o (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -39 - -109?\nAnswer: c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k = 4*k - 4, 0 = 5*n - 2*k + 868. Let v = 179 + n. Solve v*r + g - 18 = r, 4*r - 12 = 2*g for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-15)\/6)\/(2\/20). Let x be (-15)\/v - 14\/(-10). What is the tens digit of x - (5 + -2) - -11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 70371, 140752, 211133, 281514?\n\"Answer: 70381*g - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-34)\/(-1) - 0\/(-1). Suppose 5*k - 7*k = 0, -5*k + 410 = 2*d. Suppose -5*z - 5*c + d = -50, 0 = -3*c. Calculate the greatest common factor of l and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 2*o**2 + 19. Let m be c(0). Let g = m - 15. Calculate the common denominator of (5\/g)\/(12\/(-8)) and 3\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 202 and 110040914.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-560)\/350*20\/(-8). Solve 0 = 4*s - 4*p + 16, -u*s = 2*p - 5 - 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 3 - 3 + 4*u.\nAnswer: 4*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 69. Suppose -3*j = g - 13 - 15, j + o = 5*g. Solve -s - 4*s = -3*m, g = -s - 2*m for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**2 - 2360*v - 1392400 = 0.\nAnswer: -1180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 352 and 16008?\nAnswer: 704352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.24147 to 2 dps.\nAnswer: 5.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122598 = 33*x + 9*x. List the prime factors of x.\nAnswer: 3, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ykww when four letters picked without replacement from {y: 1, k: 3, w: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -44, -78, -128?\nAnswer: -194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 56*v + 435. What is n(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1.91616 - -152067601\nAnswer: 152067599.08384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -4*f + 4*r - r, 4*f - 4*r = 12 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 893597 or 893490?\nAnswer: 893490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.8678 + -1.7278. What is the second biggest value in 0.3, r, 36?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000016838375 to 7 dps.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12 + -15)*(-770)\/3. Suppose 0 = -17*f + 28*f - m. Calculate the least common multiple of 60 and f.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -7*k**2 - 33*k**3 - 2*k - 4 + 34*k**3 - 3*k + 11*k + k. Suppose -24 = -0*g - 4*g. Give c(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((33\/(-14))\/(-11))\/((-24)\/(-28)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7019 and -6.37.\nAnswer: -44711.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -u**5\/20 + u**4\/3 + 5*u**3\/6 - 3*u**2\/2 + 8*u. Let k be g(4). Calculate the greatest common factor of 34 and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50 and 1184875.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32*m**4 - 14*m**3 + 9*m**2 + 10*m + 7026?\nAnswer: 384*m**2 - 84*m + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 3) + -1 + -4 - 5\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*j = 9*j - 26. Let r = -6 + 33. Let n = 134\/5 - r. Which is the closest to j? (a) 0.5 (b) 4\/3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 101563091?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqlaalqlq. What is prob of sequence aqla?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12\/985 or 1?\nAnswer: -12\/985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 31608\/439*2\/(-80)\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -7. Let z = -8 + 10. Let j(f) = 2*f**2 - 4*f + 1. Let c be j(z). What is the second biggest value in c, 3, k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.33 + 2.2. Let c = u + 0.02. Is c at most as big as 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.1 + 5.1. Let z = 9 - u. Which is the second smallest value? (a) 0.3 (b) z (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 4 (c) 13120 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) -8 (c) 797 (d) -4\/7 (e) 4\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7075263 millennia in decades?\nAnswer: 70.75263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9\/4 - 2. What is the nearest to 1\/3 in 0.4, t, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 34153624 + -36?\nAnswer: 34153566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*s*x**2 + 130452*s + 991*x**2 - x wrt x.\nAnswer: -8*s*x + 1982*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 4. Let r(u) = -2. Determine 4*r(b) + 2*x(b).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1212 and 863247?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/sqrt(600).\nAnswer: sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -212*i**3 + 49*i**2 + 36*i + 68. Calculate y(-2).\nAnswer: 1888","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 1 = -2*q, 15 = 4*t - 7*q + 4*q. Suppose -15 = -t*z - 2*z. Solve -16 = z*o + o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 100 and 210.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -b - 1, -2*b + n + 13 = 4*n. Suppose -3*d + 31 = b*y - 14, 12 = y - 2*d. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 13 + 2 + (-3 - 9).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*d + 26*d - 4 + d**2 + 26 to the form c*d + h*d**2 + q and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 3646295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78410538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.1 (b) 0 (c) -4 (d) -103 (e) -2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 17 = -10*r, -5*v - r - 27 + 73 = 0 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 25 = -5*d, 3*d + 5*m - 13 = m. Suppose -5*c = -d - 63. What is the greatest common factor of 112 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - m = 4*y + 12, -2 = 3*y + 2*m. What is the hundreds digit of y + ((-19)\/(-190) - 4059\/(-10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (-28)\/((-616)\/242)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/3, 16, -5, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1041 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 2955.186612 to one dp.\nAnswer: 2955.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7071471523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-24))**2)**(1\/54) assuming p is positive.\nAnswer: p**(-23\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 3) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 69048.94 decades?\nAnswer: 6904.894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2 = -4. Is 6*4 + -1 - k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/8*(-16)\/6. Let f = -97 + 111. What is the remainder when (-30)\/l*16\/3 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + l**2 + l + 1. Let d be b(-1). Let r = 6 - 2. Suppose r*w = 3*m - 14, -5*w = -0*m - 2*m + 14. Sort m, d, 5 in decreasing order.\nAnswer: 5, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.78696917 rounded to 3 decimal places?\nAnswer: -3.787","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 9*z - 23. Let v be p(3). Does 5 divide 5 - (4 + v) - -45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + 0. Put 3, i, -2 in increasing order.\nAnswer: -2, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*v - 108*v - 31*v - 387 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 5 - l**2 - 17 - 18275*l + 18283*l. Calculate k(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -1. What is the units digit of ((-20)\/(-6))\/y*-24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 1)*(0*x**4 + x**4 + 0*x**4 - 2*x**4 - x**4 + 2*x**4 + (-x**2 - 5 + 5)*(-x + x - 2*x**2)).\nAnswer: -6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -8*w - 15. Let s be t(-8). Let a = s + -13. What is the greatest common factor of 24 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x**5\/2 + 11*x**4 - 19*x**3 + 16*x**2 - 13*x\/2 + 1 = 0. Calculate x.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2056125 divided by 125\nAnswer: 16449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 25*y**3 - 23*y**2 - 37*y + 19. Let w(b) = -201*b**3 + 186*b**2 + 297*b - 150. Let g(d) = 33*t(d) + 4*w(d). Suppose g(x) = 0. What is x?\nAnswer: -9\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (297\/(-396))\/(6\/(-20))*(-16)\/10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - 379324.7?\nAnswer: -379337.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 27?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/262988 and 103\/836.\nAnswer: 4996772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/8*12\/(-9). Let r = -13\/63 + 2\/21. Which is the second smallest value? (a) r (b) -1\/2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 233 - 13?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**3 + 2*k**2 - 10*k - 10. Let h(v) = v + 1. Let m(c) = -10*h(c) - n(c). What is the third derivative of m(l) wrt l?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -25*u**2. Let o(p) be the first derivative of -p**2 - 1. Calculate h(o(a)).\nAnswer: -100*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23\/2 - 47\/4. Let d = 5082 - 91517\/18. Calculate the common denominator of d and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 5*f + j - 0*j, -f = -2*j + 2. What is the least common multiple of 18 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21259.716 to the nearest one hundred.\nAnswer: -21300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(4\/3)\/r*r**(-7\/2)\/r*r)**18 assuming r is positive.\nAnswer: r**(-57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198*m**4 - 1780*m**3 + 216*m**2 + 1780*m - 18 = 0. Calculate m.\nAnswer: -9, -1, 1\/99, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11, 46, 143, 332, 643, 1106, 1751?\n\"Answer: 5*k**3 + k**2 - 3*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 4*o**2 - 7*o - 5*o**2 - 6 + 2. Let t be m(-6). Let y(z) = t*z - 5*z + z. Let q(h) = -2*h**2. Determine y(q(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -3*w - 12. Let d be -8*(-2 + w\/(-8)). Let n(i) = 613*i + 1. Is n(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (93 + -100 - (1 + 11)) + 6 + 29\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.71 - 6.9. Let x = i - -1.19. Let j be (-4 - -2)\/(-2)*-3. Which is the nearest to x? (a) 2\/9 (b) 3\/2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43\/1505*3465\/(-45).\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50\/4)\/5*(-16)\/(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*a - 3*d, -3*a - 2192063 = d - 2192077 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-35)\/(-21))\/((-10)\/(-12)). Let o be 12\/(-3) + p + 2. Solve o = -s + 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 4*v - 12*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1979 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2644531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11492044 to the nearest integer?\nAnswer: 3390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 10 - 4 = 0. Let h = m + -36\/5. Let r be (-1)\/4 + 3\/12. What is the third biggest value in r, -4, h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != -1\/3758?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from -103419.8954.\nAnswer: -103418.8954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -112*i**3 + 4*i**2 - 10.\nAnswer: -672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -x**3\/6 + x**2\/2 + 15*x. Suppose -l = -3*l - 8. Let w be i(l). Solve 13 = -h - 4*t, -2*h - 4*t + w*t = 8 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13442\/10890 + (0 - (-20)\/(-25)) and 97\/36.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1228 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2.6 (b) -1\/4 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5*r - 3. Let i be a(2). Let x = i - 12. Let f be (-3)\/(-2) - (-6 + 2)\/(-8). Put f, 5, x in descending order.\nAnswer: 5, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (220\/(-8))\/(110\/((-616)\/(-28)))?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - m + 1169 - 119, 638 = 3*o - m. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/1054693 and -49\/2042.\nAnswer: 2109386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 + 27. Suppose 4*v = 3*g - 105, v - 35 = -3*g + j*g. What is the highest common divisor of 14 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2357 + 1263 = 0. Let s = -255 + p. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 24. Let k(u) = 3*u - 4. Let w(f) = 2*f - 3. Let y = 5 + 0. Give r*k(v) + y*w(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 247*h = 239*h + 4984. Is 81 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/3)\/(2\/6). Let j(k) = 5*k - 6. Let x(t) = 2*t - 3. Let c(i) = 3*j(i) - 7*x(i). Determine c(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -460, -512, -584, -676?\nAnswer: -788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 j when two letters picked without replacement from jgicqcqggciigqji.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -10*d**2 + 5*d - 5. Suppose -3*s + 16 = 1. Suppose -7*p + s*p - j = -9, -4*j = p - 22. Let r(k) = 2*k**2 - k + 1. Calculate p*w(l) + 11*r(l).\nAnswer: 2*l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(171) + 5 - (4 + 2*sqrt(171)))**2.\nAnswer: -18*sqrt(19) + 1540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - -2) + (0 - 6). Let d be 765\/18 + (-6)\/f. Suppose -4*i + 5*b = -54, 2*i = 2*b - 0 + 26. What is the highest common factor of d and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 m when four letters picked without replacement from {m: 11, l: 3}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -123201233221?\nAnswer: -123201233232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-286*s**2 + 298*s**2 - 123*s**2)*(-2 - s**2 + 2)*(0*s + 2*s - 3*s).\nAnswer: -111*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -182*-0.103775.\nAnswer: 18.88705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 44*x**2 - 3*x - 12. What is p(-5)?\nAnswer: 1103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/5? (a) -3 (b) -2\/13 (c) -17844\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 3:06 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -73*d + 16 + 38*d + 37*d in the form l*d + q and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304)*1 - sqrt(304))**2*-5 + -2 - ((sqrt(152) + (-2*sqrt(152)*2 - sqrt(152) - sqrt(152)))\/(-1*sqrt(8)*2))**2.\nAnswer: -483\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5361500?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w + 2 + 12*w**2 + 7*w - 11*w as j*w**2 + z*w + v and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3115 - -2.\nAnswer: -3113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n + 119 - 119.\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -83638, -86444, -89250?\n\"Answer: -2806*l - 80832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*s**2 + s**2 + 2*s**2)*(-8*s**2 - 5*s**2 + 3*s**2) + s**4 - s**4 + 3*s**4)*(-2*s + 0*s + 3*s).\nAnswer: -7*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -175*a**4 - 31460*a**3 + 236955*a**2 + 73760*a - 194480 = 0.\nAnswer: -187, -1, 4\/5, 52\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 681 = -706 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/11 and 17\/23067.\nAnswer: 23067","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4))**5*(a\/a**30*a*a)\/(a\/(a*a**(-8))*a) assuming a is positive.\nAnswer: a**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 551, 552, 553, 554, 555, 556?\nAnswer: 557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 10 + 4 = 0. Calculate the remainder when 178 is divided by (60*3\/r)\/(4 + -2).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.2 (b) 0 (c) -6\/7 (d) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 11:19 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 1. Let d = c + 2. Let r(b) = -b**2 + 5*b - 1. Is 3 a factor of r(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 182533 and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 257*y**3 + 3 - 674*y**3 - 3 + 420*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -26 + (18 - (37 + -36))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-8)*1*(-32)\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9908 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = f - 3*p, -f - 3*f - 16 = 4*p for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (948\/(-711))\/(160\/36)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = l - 4. Which is the closest to l? (a) -1\/2 (b) -1 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*n - 2*n = 7, -4*q = 3*n + 17. Let k = 104 - 100. Put q, k, -4 in ascending order.\nAnswer: -4, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*r, 3*f = -4*r + 19 - 3 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31733 - -31738. Suppose -z + 2*z = 2. Suppose -y - z*y + 223 = g, b*g = -2*y + 1115. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 1\/32 (c) 2\/9 (d) 0 (e) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/12)*z*z*z\/(z**7*z))**18)**(-30) assuming z is positive.\nAnswer: z**2655","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -6686, -22, 2, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -4*o**2 + 3*o - 3. Determine v(-3).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 2. Factor 3*l**4 - c - 8*l + 3*l**3 + 4*l - l**4 + l**3.\nAnswer: 2*(l - 1)*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/6 + (-24)\/(-9). Solve 0 = 5*q + 2*j - 12, -v = -5*j + 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u - 37*u**2 - 33*u**2 + 4 + u**3 + 67*u**2. Calculate s(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.2*-2508\nAnswer: 13041.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 0.08, -0.297, -5\/2, 438 in decreasing order.\nAnswer: 438, 1\/2, 0.08, -0.297, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of p**5\/60 - p**4\/12 + p**3\/3 - p**2. Suppose -3*y - 24 = -6*y. Calculate the remainder when y is divided by o(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in millimeters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1563?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/140 and (-4)\/(-18)*-93*21\/245.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -502 - 56 = -9*y. Calculate the remainder when 280 is divided by y.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 - 16. Let w = 8 - a. Suppose 3 = -k - 0, 2*v + 4*k - 4 = w. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 4\/3*f + 21*f**2 - 4\/3 = 0.\nAnswer: -2\/7, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, -5\/4, -1\/7 in descending order.\nAnswer: -0.02, -1\/7, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*z = 445*z + 488*z + 5615 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 16*z + 1. Give q(15).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 48.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(8\/3)*b*b**31\/b*b*b**7\/b**(-37) assuming b is positive.\nAnswer: b**(239\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12015651 and 408.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 396771, 396851, 396931, 397011, 397091, 397171?\n\"Answer: 80*h + 396691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.48 - 3.98. Which is the smallest value? (a) 0.4 (b) 1\/3 (c) -4 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15090 and 2515.\nAnswer: 15090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 6*y**2 - 4*y - 3. What is s(-5)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - (1 + -1 - 0). Let v(h) = -h**2 - 8*h + 10. Let l be v(-9). Is l*(3 + -1) + o a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -0 + 4. What is the common denominator of h\/(-9) + (-1338)\/(-432) and 203\/(-6) - 1\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.1 and -10.238.\nAnswer: 11.2618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l. Suppose -5*y + 10 = 4*m - 0, 0 = -5*y - 2*m. Let g be (-7)\/28 + y\/(-8). Let w be (g\/3 - -1) + -5. What is x(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0047855293 rounded to four decimal places?\nAnswer: 0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1547308 divided by -1022?\nAnswer: -1514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 49906653089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 159, 338, 519, 702, 887, 1074?\n\"Answer: n**2 + 176*n - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y + 9. Let j be v(-7). Let d be (-2)\/11 + j\/(-110). Let h = 6 - 11. Put h, 2\/7, d in descending order.\nAnswer: 2\/7, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0020197 rounded to 4 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*1305.9.\nAnswer: 522.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y**2 + 46*y + 2. Let t be f(11). What is the first derivative of -3 + t + 4 - 34*b wrt b?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/3)\/((-248)\/62)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4222*f + 606 wrt f.\nAnswer: 4222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 423388 is divided by 45.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -8*n + 1. Let c(z) = 23*z - 4. Let k(l) = 3*c(l) + 8*r(l). What is the units digit of k(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 64 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 80921188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*r - 237 - 14 = -35. Calculate the greatest common factor of 5463 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -761373?\nAnswer: -152274.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 68 + -62.2. Let m = -6 + d. What is the second biggest value in 0.1, 1, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -29\/20*y**5 - 7\/2*y**3 - 1\/30*y**6 + 0*y**4 - 81*y - y**2 + 0. What is the second derivative of j(g) wrt g?\nAnswer: -12*g**2 - 174*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 4866\nAnswer: -14598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**2 + k + 2. Let o = -84 - -86. Let u(b) = -8*b**2 - 4*b - 9. Give o*u(n) + 9*h(n).\nAnswer: 2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/21 of a week in minutes?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (7 + -7)) + 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express n + n + 0*n + 3*n - 2*n - 2*n + (3 + 3 - 5)*(-4*n - n + 3*n) - n - 6*n + 4*n + 0*n + n - 4*n in the form x*n + p and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttcc when four letters picked without replacement from {t: 5, c: 5}.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**5 - 2*m**4 + m**2. Let k(g) = -2*g**5 - 2*g**4 - 86*g**3 + g**2 + 255*g. Let o(r) = k(r) - y(r). What is the second derivative of o(f) wrt f?\nAnswer: -20*f**3 - 516*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zinnnngignignzg. What is prob of sequence gzn?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4924105.\nAnswer: 5, 181, 5441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -7675?\nAnswer: -7672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/5)\/(531\/(-590))*(2 - -187).\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**3 - 3*z**3 + z**3 + (0*z - 4*z + 2*z)*(41*z**2 + 7*z**2 - 3*z**2) + z**3 + 0*z + 0*z.\nAnswer: -88*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1625, 1280, 931, 578?\nAnswer: 221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 438*b**3*f**2 + 2*b**3*f + 3*b**3 + 370 wrt f?\nAnswer: 876*b**3*f + 2*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 87\nAnswer: 17.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18295362?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 7*x - 8. Determine f(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 1637*g + 3*g**2 + 6 - 1616*g - 2*g**2 as l + i*g + z*g**2 and give i.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1360)\/140 + 10 - 19\/(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7217 is divided by 421?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 614 and 7061?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-16)*(o\/(o**(2\/13)*o))\/o assuming o is positive.\nAnswer: o**(-223\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2105 (b) 3 (c) -18 (d) -72\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 + -0.3. Let n be (-2)\/6 - (-3 + 10)\/(-7). What is the second smallest value in u, n, -1\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 306 and 102.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5751 and -2.\nAnswer: 11502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26514 by -7.\nAnswer: -26514\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3250 + -3?\nAnswer: 3243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(-3 - 6\/(-2)). Suppose -4*u + 6*u - 406 = q. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5171 or -5180?\nAnswer: -5171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 747837511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/((-9240)\/100))\/(((-715)\/208)\/(-11))?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + 3*t + 9. Let f be n(5). Let s be 5 - 24\/(f + 3). Let g(k) = 3*k**2 + 19*k + 13. What is the least common multiple of g(s) and 39?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1175459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 19\/((-5)\/(-10)*1). Suppose 0 = 14*h - 150 + p. Solve -5*s = -3 + h for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29\/15 + 13\/5. Put 2\/19, -0.2, 0.5, l in decreasing order.\nAnswer: l, 0.5, 2\/19, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06037 rounded to three decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -26\/7 smaller than -78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -13 + 0 + 0 + -1. Let q = o - -2. Let a be 1\/(-2) + (-10)\/q. Is 0 at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxwwxxxxx. What is prob of picking 1 x and 1 w?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.53565 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31973 * 0.1.\nAnswer: -3197.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -126607, -126582, -126547, -126496, -126423, -126322, -126187, -126012?\nAnswer: -125791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 3*q**2 + 36*q + 71. Determine g(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*m = -62*m + 6, 0 = 5*x + 5*m - 180. Calculate the highest common divisor of 2856 and x.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, -0.1, -0.2, -40.82 in decreasing order.\nAnswer: 0.03, -0.1, -0.2, -40.82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(144)*2*5)\/sqrt(12))\/(sqrt(72)\/(1*sqrt(972))).\nAnswer: 5 + 90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.20865 and 11205.8?\nAnswer: 11206.00865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 78284, 156947, 235610, 314273?\n\"Answer: 78663*c - 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/30*(12\/(-24))\/(700\/(-112))?\nAnswer: -1\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((77\/(-22))\/(-7))\/(3\/(-18))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 36 = -3*n, 3*t + 162*n - 163*n = 87. Solve 112 = -t*l - 29*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 437150 to the nearest one thousand.\nAnswer: 437000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*p = -231326 + 231592 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**2 - 884*s + 10801. Determine v(12).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*3*(sqrt(21)\/sqrt(972)*-5)**2.\nAnswer: -175\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 5*v = -y - 4485, -4*y - 4*v = -4484. Suppose 2610 = 254*q - 4502. Calculate the greatest common divisor of q and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -d**5\/150 - d**4\/4 - 14*d**3\/15 + 61*d**2. Let i(h) = 0. Calculate h.\nAnswer: -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8194367303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 18. Let r(p) = p + p**3 + z - 7*p**2 - 3*p + 4*p. Does 15 divide r(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -17*j - 2 - 4 + 5. Let t be c(-4). Suppose 0 = 3*p + 16 - t. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t - 99*b + 98*b + 17, 0 = 3*b + 9 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 279929 (b) 12 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -4*a - 23, -43*y + 41*y - 5*a = 0. Let n = -2 + 5. Put y, -4, n in descending order.\nAnswer: y, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/1536 and 67\/6144.\nAnswer: 6144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 894\/(-2086) - (-2002724)\/7 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10 (b) -1.9 (c) -4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 950079, 949965, 949775, 949509, 949167, 948749?\n\"Answer: -38*g**2 + 950117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 9*q**2 + 6*q - 11. Let p be t(-8). Suppose p*j + 11 = 3*k, 0*k - 3*j + 7 = 5*k. Solve g = 5*w - k*w + 10, 0 = 5*g - w - 22 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 294, 593, 898, 1209, 1526, 1849, 2178?\n\"Answer: 3*v**2 + 290*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 s, 1 h, and 1 k when four letters picked without replacement from kskjsbkscssbh?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 289 + 44 - 31539*m + 15758*m + 57 + 15758*m to f + o*m and give o.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l - 5. Let f be d(8). List the prime factors of (f - -1)*(9 + 1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-50))\/(-2)*880\/264.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*q + 25*q = 6. What is the remainder when q is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/5)\/m*m**0)**(3\/2)*m**(-5)*m*m**5*(m\/(m*m\/(m*m**(2\/3))*m)*m)**(-2\/23) assuming m is positive.\nAnswer: m**(-296\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 92.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00034146909 to 7 dps.\nAnswer: -0.0003415","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 15 + (-1 + 3 + -14 - 3)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 2. Suppose -4*b - 2*r = -z*b - 42, r + 6 = b. Calculate the lowest common multiple of 5\/((-1)\/(-2)*2) and b.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + b**2. Suppose -2*d - 17 + 15 = 0. Let c(j) = -84*j**3 + 4*j**2 - 101. Let m(n) = d*c(n) + 4*x(n). What is the first derivative of m(g) wrt g?\nAnswer: 264*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 12*y**2 + 6*y. Let d be q(-4). Let s = -147 + d. Calculate the remainder when 77 is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -20, -79, -214, -455, -832?\n\"Answer: -5*m**3 - 8*m**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-8))\/(-11*5\/(-550))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 7 + 1 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 0, m - x + 0*x = -286. Let y = m - -591\/2. Is 11 smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*n - 21*n - 1228 = 0. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 50*h. Let v(i) = 351*i**2. Give x(v(w)).\nAnswer: -123201*w**4 - 17550*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 7 - 12 + 2*f**2 - 2*f + 3. Let z(r) = -3*r**3 + 7*r**2 - 7*r - 7. Determine -14*q(i) + 4*z(i).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**2 + q**2 + q**2 - 5*q**2 + q**2 + 2*q**2 + (2*q + 0*q + 0*q)*(1 - 2*q - 1) + 3*q**2 + 11*q**2 - 23*q**2 + q**2 - 4*q + 4*q.\nAnswer: -13*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 33 = -5*q, -2*x - 5*q = -0*x - 32. What is the closest to x in -4, 0, 3, -42\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3080 divided by -4\nAnswer: -770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**2 - 36396*b - 110389068 = 0. Calculate b.\nAnswer: -6066","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5\/3 (b) -2 (c) 27\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*k + 5. What is the units digit of ((-152)\/12)\/(k\/3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -989018, -989019, -989020?\n\"Answer: -n - 989017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -2156\/1235?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/9*(-9)\/2. Let i = 10 + x. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -748 - 426992521?\nAnswer: -426993269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of r**3\/6 - 5*r**2\/2 + 23*r. What is y(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 + 63603690*p + 202271469080805.\nAnswer: 5*(p + 6360369)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 10:55 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 6. Let j(i) = -7 + i**s + 4*i - 4*i**2 + 7*i**2 + 3*i**2 + 1. Let f = 8 + -13. What is j(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000008573 to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in -5, 1614, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1993.\nAnswer: 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -5*y - 6*k + 38, -k - 33 = -4*y. What is the remainder when y is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 21*d**3 + 2*d**2 - 17. Let r(z) = 7*z**3 + z**2 - 6. Let c(y) = -17*r(y) + 6*x(y). Find the third derivative of c(u) wrt u.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 85 and 68.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 5*i + 29 - 44 = 0, 2*u - 15 = -5*i for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -651.374 to zero dps.\nAnswer: -651","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1038 is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279144 is divided by 92691.\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 1893 = 4*f, f + 5*v - 376 = 80. What are the prime factors of f?\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26\/13)\/(5*-1).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 4. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/3*6\/14. Is 0 < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39001, -77971, -116939, -155905?\nAnswer: -194869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 6 = -14 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 3:37 PM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z + 6*z - 10 + 7 + 4.\nAnswer: 11*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 327502.\nAnswer: 2, 7, 149, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from fqoofhqh?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1115*t - 40143 = 19224 + 15731 + 39747 for t.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 3:14 AM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1652*r**3 - 904*r**3 - 856*r**3 + r**3 + r**3 - 3*r**3 + (-2*r**2 + 0 + 0)*(0 + 0 + 2*r).\nAnswer: -113*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/5 and -41\/1350.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (6864\/(-234))\/11 + 4\/48*(-32)\/(-28)\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millennium in months?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -3. Suppose -5*z = 4*o, -r*z + 5*z = -5*o + 13. Let y = 47366 - 47365.5. Which is the fourth biggest value? (a) y (b) 0 (c) 0.3 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 12208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 191664039?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 16, r: 2}. Give prob of picking 1 r and 1 c.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/15 of a decade?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**3 - 30*q**2 + 22*q - 5. What are the prime factors of r(15)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 432\/(-1221)*-1 + (-1677)\/6149.\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = s + 2, 21*s + 6 = 4*h + 18*s. Suppose 4*t - 815 = -5*o, 2*t - 7*o + 5*o - 394 = h. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7170961 divided by 1024423\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10402.717 and -0.3.\nAnswer: 10402.417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 2\/3859 (b) 1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r**5 + 6385*r**4 + 484005*r**3 - 41569245*r**2 + 643658400*r - 209952000 = 0. What is r?\nAnswer: -240, 1\/3, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -1\/24*o**4 + 0*o + 0 - 2*o**2 - 5\/6*o**3. What is the units digit of t(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iniihihhhhis. What is prob of sequence iisn?\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*s + 55 = -5*t, 4*t - s + 11 = 7*t + 2 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 14\/13, -5, 2\/7 in descending order.\nAnswer: 14\/13, 2\/3, 2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4*k - 13. Give a(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.5 (b) 0.2 (c) 5 (d) -3\/1225\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 9*c**2 + 3*c + 4. Let h be y(8). Let v = -13 - h. Let d(r) = -691*r + 4211. Calculate the remainder when d(6) is divided by v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -6*q**2 + 23*q + 10. Let x be 48\/18 - -20*(-5)\/(-30). Determine r(x).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.039646853 rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zmzz when four letters picked without replacement from ymmzzmzmmmmmymm?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0 = 20. Suppose 4*r - 2 = u. Suppose 0 = r*g - 48 + 3. Is 15 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttur when four letters picked without replacement from utttqtqtuqquturtquu.\nAnswer: 7\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70939835.\nAnswer: 5, 14187967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**2 + 7*k. Let i(x) = -2*x**2 - 7*x - 1. Let o(a) = -3*g(a) - 4*i(a). Determine o(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0 = -2. Suppose -b*y + y + 5*y = 0. Is y + (-5)\/(-20) - (-203)\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 2 y, and 1 i when four letters picked without replacement from {y: 10, r: 2, m: 1, i: 2, x: 1, n: 2}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -2, -5*g = -g - 3*d - 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26161\/4 + 6661. Let f = o + -120. What is the fourth biggest value in 7, 0, 0.2, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2402 - -3655. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7989019 is divided by 42?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -6*s**2 - 2*s + 196. Determine h(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 36619344 divided by -12206448\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3873\/2 + 1936. Let z be 10*(-2)\/(8\/2). What is the closest to 3\/8 in -2, o, z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 d, and 1 e when three letters picked without replacement from bcbzbbecdcc.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2086 is divided by 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 104\/48 - 10\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10220527 and 362.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a - 2. Let v = 15 - 11. Let o be f(v). Suppose o*h - 14*h + 52 = 0. Solve 4*j + 5 = h for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.097 - -0.097. Let m be 8*((-6)\/(-4))\/(37 - 28). Sort m, j, -0.058, 2 in decreasing order.\nAnswer: 2, m, -0.058, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -23*r**7\/21 - 16*r**4\/3 + 121*r - 1. Find the third derivative of w(x) wrt x.\nAnswer: -2760*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -510*u**3 - 515*u**3 + 1525*u**3 + 3 - 498*u**3 - 3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.3, -1\/9, -0.1, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.3 in 30, 130, -0.21?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 569\/2 (c) 2\/7113\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/7))**32*(o*o**8*o)\/o**(-2\/13))\/(o**8*o*(o*o**(1\/6)*o)\/o*(o**0\/o)**(16\/5)) assuming o is positive.\nAnswer: o**(33661\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-170)\/(-6))\/((-720)\/(-432)) - 43?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 125454 + 22164?\nAnswer: 150651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (sqrt(11) + -1 + 3)) + sqrt(22)\/(sqrt(8) + sqrt(2)).\nAnswer: -2 + sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4563\/4 - -1141. Which is the second biggest value? (a) 5 (b) o (c) 5\/6 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 a factor of 1549465827?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 13*b**2 + 5*b - 19. Let h(a) = -a + 3. Let z be h(-10). Calculate the common denominator of j(z) and -65\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73 + 2*s - 3*s - s.\nAnswer: -2*s + 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)*-2 + sqrt(132) + sqrt(132))*5)\/sqrt(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - o. Let q be 6\/9*6\/1. Let h(n) = -3*n**3 - n**2 + 2*n. Give q*w(x) + h(x).\nAnswer: x**3 - x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -256 times 1.2?\nAnswer: -307.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5329*f**4\/3 + 13432*f**3 + 70847*f**2\/3 - 13432*f - 25392 = 0.\nAnswer: -276\/73, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 4*w**3 - 4 + 40*w**2 + 4 + 20*w. Let c(y) = -4*y + 9*y**3 - 5*y**2 - 3*y**2 - 10*y**3. Let r(b) = -33*c(b) - 6*s(b). Solve r(i) = 0.\nAnswer: -2, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 69*h**2 + 421*h - 340*h - 82*h + 13 as u*h + y + z*h**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*q + 14707 - 25*q**2 - 14707 - 56*q + 102*q.\nAnswer: -25*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 32 = 3*m. Let k be (-72)\/(m\/20 + -2). Let b be (24\/(-5))\/((-6)\/k). What is the greatest common factor of b and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 38, 66, 104, 152, 210, 278?\nAnswer: 356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from -3.81391.\nAnswer: -1.81391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1683978 times -0.1?\nAnswer: 168397.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -314*n*o**3 - 192*n*y - 2*n + 132*o**3*y - 736*o**3 + 2*o**2*y - 2*o - 6*y wrt y.\nAnswer: -192*n + 132*o**3 + 2*o**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -0.3 (c) 90\/127 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110001000 + 11001001?\nAnswer: -10111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - g + 12, c = -g - 4 - 0. What is the closest to -2 in 1\/4, -1, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 606 divide 516748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 276\/152 - (27 + 1428\/(-56)).\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10711\/396 + 2\/(-8). Let l = -285\/11 + n. Factor 8\/9 + l*i + 2\/9*i**2.\nAnswer: 2*(i + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 4*w - 5, 20 = -6*w + 2*w. Suppose o*t - 738 = 207. Is ((-1)\/3)\/((-3)\/t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 698?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 5:34 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2923 - -2933. Let k = 7 - 3. Let m = n - k. Calculate the lowest common multiple of m and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 877080370 to the power of 1\/2, to the nearest integer?\nAnswer: 29616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 494*w**2 - 143*w**2 + 0.\nAnswer: 351*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**3 - 3*u**3 + 4*u**3 + 2*u**3 - u**3 + 0*u**3 + (-3*u**2 + 5*u**2 + 0*u**2)*(5*u - 4*u - 3*u) in the form o*u + d*u**2 + x + b*u**3 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 4, 52, -390?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*c - 4*q, 3*q + 6 = 4*c + 3. Let y be c\/(-2) - (-9 + 7). Factor -v + y*v**2 + 1\/2.\nAnswer: (v - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 9*t**2 - 20*t + 4. Let u(g) = 13*g**2 - 30*g + 7. Let q be (0 + 3)*(-115)\/(-69). Let d(v) = q*u(v) - 7*n(v). What is d(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dzdt when four letters picked without replacement from adzqztd.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 - -3*(-3176)\/2022. Let g = d - -259438\/319813. Let h = -4\/73 - g. Which is the second biggest value? (a) h (b) 0 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113*-6.\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 36\/(-162) - 184088\/(-9). Let t = -5393 + w. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -368, -458, -552, -650, -752, -858?\n\"Answer: -2*a**2 - 84*a - 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14803 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21.834 - -4322.\nAnswer: 4300.166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 28*t + 220 = 0. Solve 0 = 106*w - 111*w - t for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.618 + -0.092. Let v = -208.71 - u. Let g = v + 207.000492. Round g to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2726855 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 3*k**2 - 5. Calculate l(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 86 (b) 5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 5*l + 14 = 0, l + 3*l = 3*b - 25. Let f(q) = -3*q + q - b*q + 1 + 4*q. Calculate f(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 800*q - 6138 = 778*q. Calculate the highest common divisor of 63 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 515728 is divided by 742.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1041035635?\nAnswer: 5, 107, 139, 13999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15197893?\nAnswer: 15197893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*v - 120 = -164. Which is the closest to v? (a) 4 (b) -14 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14469 - 9628. What is the highest common divisor of 103 and i?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49035, -98022, -147009, -195996, -244983, -293970?\nAnswer: -342957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 + 38. Is 16 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -12242, -24674, -37106, -49538?\n\"Answer: -12432*b + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -544 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-2)\/(-10)*-15*49\/42\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/6920 and -83\/4152.\nAnswer: 20760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -4 - 2 - -3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 831662*m - 17. Let f(p) = 9*p. Calculate f(v(l)).\nAnswer: 7484958*l - 153","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1d (base 16) to base 7\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 10*p - 85 = 255, -218 - 58 = -4*u + 8*p for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3\/7 + 24*f**2\/7 - 27*f\/7 - 216\/7.\nAnswer: 3*(f - 3)*(f + 3)*(f + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -250 + 32\/9*g**3 + 4\/3*g + 11\/3*g**2 + 7\/6*g**4. Factor y(j).\nAnswer: 2*(j + 1)**2*(7*j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/20? (a) -1\/6 (b) 0.4 (c) 4 (d) -46 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205*x - 685 + 5 = 35*x. Which is the second biggest value? (a) -1\/31 (b) 5\/3 (c) 1 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 + -28. Suppose h = -2*f, 0 = 2*m - f + 106 + 19. Let s be (-30)\/(-4)*(-156)\/m. Solve 3*v + s = 4*n + 5*v, n - 12 = -3*v for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of 2*u**5\/15 + 31*u**2\/2 - 16. Let c(l) be the second derivative of y(l). What is the remainder when 19 is divided by c(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4258 divided by 1\nAnswer: 4258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 70267768 to the power of 1\/2, to the nearest integer?\nAnswer: 8383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 21*d + 1046. Determine s(-35).\nAnswer: 311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3\/4 (b) 4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24 or -38?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4\/7, -0.1, -2, 3177814, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i - 1. Let m be a(6). Suppose -244 = -15*v - 19. Suppose -v = -m*s + 10. What is the third biggest value in -8, 2\/3, s?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*h + 8 + 33 = -27 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.1 - -3.82. Let h = o - 2.72. Sort -3\/2, h, -0.04.\nAnswer: h, -3\/2, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 429 and 195.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 21 = -23. Calculate the remainder when 23 is divided by ((-2)\/4*2)\/y - -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 29192 = -2*q + 6*q, 3*n + 2*q = 21904. What is the thousands digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f + 5. Let s be k(-8). What is the fourth biggest value in 4, 2\/13, s, -0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 47.\nAnswer: 12\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 154672344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 1149*q - 2675. Does 37 divide m(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 7) to base 15\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 336*j**2*x**4 - 2*j**2*x**3 + 13*j**2*x + 13*j**2 wrt x.\nAnswer: 4032*j**2*x**2 - 12*j**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6110618 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (91\/(-78))\/((-70)\/8)*4?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i. Let z(g) = 4*g - 5. Calculate 2*s(y) - z(y).\nAnswer: -2*y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-4\/15)*x*x\/(x*x*x**(-5)))\/(x**(-12)\/(x**19*x)))**(-1\/12) assuming x is positive.\nAnswer: x**(-283\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 6:44 PM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*d + 11*d**2 - 17*d)*(-1 + 1 + d) - 2*d**3 - 2 + 2.\nAnswer: 9*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*q**4 - 43*q**2 - 14 - 4*q**5 + 14 - 32*q**2 wrt q?\nAnswer: -240*q**2 + 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3136 = 5*g - 3121 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qikppkppikpipppikbpi. What is prob of picking 1 b, 2 p, and 1 i?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(200) - sqrt(200))*-1)\/((sqrt(40) + (sqrt(40)*2 - sqrt(40)) + sqrt(40))*-1).\nAnswer: 4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -42089, -42083, -42065, -42029, -41969, -41879, -41753?\n\"Answer: s**3 - s - 42089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 10*a - 20. Let z be j(6). Solve -z*y - 4*m = -4, 3*m = -m for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91952 is divided by 388.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3211881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of -c**6\/360 + c**4\/6 + c**2. Let k(l) be the second derivative of z(l). Let t(f) = -f. What is k(t(q))?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110996?\nAnswer: 2, 27749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 y, and 1 m when three letters picked without replacement from {m: 2, h: 4, b: 1, y: 3, p: 2, n: 2}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -63950, 3, 3.6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4919*s**3*z**2 - 204*s**3*z + 615*s**3 + s**2*z - 630*s*z**4 wrt z.\nAnswer: 9838*s**3 - 7560*s*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4536 and 2.\nAnswer: 4536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + 5\/15*-3. Suppose -w*i = -i - 336. Let z be (-8)\/(-14) + (-68)\/i. Is 6 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6583780 and 169904.\nAnswer: 26335120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 + 3 + 10*u**2 - 19 + 16.\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/66 and 53\/985770.\nAnswer: 10843470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -4*f**2 + 9*f. Let b(j) = -3*j**2 + 27*j - 6*j**2 - 8*j. Calculate 6*b(p) - 13*y(p).\nAnswer: -2*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -707.85 + 707.9. What is the closest to 2 in -2\/11, s, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 + -3. Suppose -21 = -l + 15. Calculate the highest common divisor of t and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q + 2*q - q**2 - 2*q - 5 + 8*q. Suppose 2*j = 8, j - 12 = -5*b + 3*j. What is s(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66317 and 166?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kowccoo. Give prob of picking 1 w and 1 k.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 6:58 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 80 - 79. Is 5\/18 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = r + 30 + 19 + 18 for r.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -112, -113, -116, -121, -128?\n\"Answer: -i**2 + 2*i - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 18 + (-600)\/35 + (46 - 44)\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*o - 487 = 22*o. Let b = -341 - o. Suppose -15 = -4*p + 133. Calculate the remainder when b is divided by p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4*k = -78 - 272, 2*k = 3*w - 517. Suppose 4*y - 213 = w. Suppose -259*s + 16 = -255*s. Calculate the lowest common multiple of y and s.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209455993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 941021625?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.196 - 2489.\nAnswer: -2490.196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1092167205 to the nearest one hundred thousand.\nAnswer: 1092200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.2 (b) -102 (c) -2 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**2 + 1 + 3*z + z**3 - 3 + 385*z**4 - 387*z**4 to the form a*z**4 + w*z + l + c*z**2 + q*z**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 578086896 to the nearest integer?\nAnswer: 24043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 69*f**2 - 76*f - 491. What is the least common multiple of 48 and b(-68)?\nAnswer: 2544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4431054 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 7 - 13 = 2*g, -5*g - 25 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hnhnnhrlnllhltvllt. Give prob of picking 1 r and 1 h.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a minute in milliseconds?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -241 in descending order.\nAnswer: 4, -1, -241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -0.5, -44\/5, 3?\nAnswer: -44\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(2\/25)*s)\/(s**0\/s)*(s*s\/((s**(-2)\/s*s)\/s)*s)\/s**0)\/((s\/(s*(s**(-2\/7)\/s)\/s))**15*(s\/s**2)\/(s*s**5)) assuming s is positive.\nAnswer: s**(-3186\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 37282 - 0?\nAnswer: 37282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, -9, 15\/8?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 355673 is divided by 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 13*s**3 + 11*s**2 + 3*s + 11. Let d(c) = -7*c**3 - 6*c**2 - 2*c - 6. What is 11*d(o) + 6*t(o)?\nAnswer: o**3 - 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of l**3\/3 - 5971. Let b(m) = 12*m**2 - 5*m + 5. Let g(s) = -6*s**2 + 3*s - 3. Let o(w) = -3*b(w) - 5*g(w). Determine d(o(t)).\nAnswer: 36*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*h - 48*h + 199000 = 0. What is h rounded to the nearest ten thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 5*r = 405, 27*a - 3*r = 32*a - 407. Solve -p = -3, 0 = 2*k + 4*p + 76 - a for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -11*t + 21. Let n be f(6). Let y = n - -51. Solve z = -k, -2*k - 4*z - 20 = -y*z for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 + 21. Suppose 0 = -5*r + o - 0*o + 66, 5*r - 82 = -p*o. What is the least common multiple of r and (-2 - -1)*2 - -10?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23 + -160?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7312*w + 7316*w - 40 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005697552561 rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -1. Let m = 13386.1 + -13386. What is the nearest to m in h, 0.2, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8080 and 164832.\nAnswer: 824160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36671 and 24811?\nAnswer: 909844181","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2548680?\nAnswer: 2, 3, 5, 67, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 7:10 PM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1806374 at least as big as -1806371?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000077057 rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-4)*(-8)\/(-2). Let g = 14 - b. Let y(f) = -f**3 + 7*f**2 + 4*f + 1. Let o be y(4). Calculate the greatest common divisor of o and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4 = -c, 2*c - 63*w = -64*w + 2. Suppose 18 + 2 = 2*i. Let g = i - 5. Solve -g*v - 10 = -c for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1513 - -1512. Put 1, 3, -11, 6, t in decreasing order.\nAnswer: 6, 3, 1, t, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 1.8. Let f be 1*((-8)\/(-10) + -1). Let j = 19 - 15. Sort f, j, t.\nAnswer: f, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32645857661+-2\nAnswer: -32645857663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(31\/(3100\/210)).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(627) - (sqrt(627)*-4 + sqrt(627)))\/sqrt(11))\/(sqrt(9)\/sqrt(48)) + 0.\nAnswer: -1 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 1:12 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2077.1 rounded to the nearest ten?\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 42434357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55376*h**2 - 55376*h**2 - 28659*h**3 + 28657*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 - 1200112201001?\nAnswer: -1200112200210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4560)\/12312*(-9)\/8?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 4, u: 1, l: 4, h: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 5*k**2 - 6*k + 1. Let x be n(-2). Solve 0 = m + x + 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -71846*b**3*n**2 + 24*b**3 + 95*b**2 + 15*b*n**3 + 11*b + 8 wrt n.\nAnswer: -143692*b**3*n + 45*b*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 5*t - 21, -4*q + 2*t - 9 = 3. Let r be 4*(4 + (q - 2)). Suppose -20 = -f - r*f. What is the least common multiple of 12 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0587 + -147.4413. Let c = -30.5 + w. Let v = -177.9907 - c. What is v rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2143 + 2315?\nAnswer: 4461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s + 4*s + 0*s)*(1 + 1 + 0)*(10566 + 16328 + 6034 + 1193) as i*s + j and give i.\nAnswer: 136484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 9627852.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(((sqrt(76) + sqrt(76)*1)*5 - (2 + sqrt(76) + (1*sqrt(76) - sqrt(76)) + sqrt(76))) + 2))**2.\nAnswer: 77824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 40?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + 54\/(-17))*4\/(-4422). Let q = -288137\/187935 - d. Find the common denominator of -61\/135 and q.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 4\/3, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 9. Find the third derivative of 3*s**2 + 3*s**6 - 4*s**6 - 3*s**6 - s**a wrt s.\nAnswer: -600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-8) - (84\/96 - 3). Let j(o) = 6*o + 3. Let k(g) = -6*g + 1. Let y(s) = -1. Let b(l) = -k(l) - 3*y(l). Give a*j(t) - 3*b(t).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 0, 263, 199, 5, -4, -2 in decreasing order.\nAnswer: 263, 199, 9, 5, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-5))**(1\/43)*w**(-2\/11)*w*w*w**(-2\/23))**(6\/17) assuming w is positive.\nAnswer: w**(105414\/184943)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - -3)\/(2\/2). Suppose -4 = u - 5*u, -3*u = -5*n + 102. Let s = n - 18. Solve -x*y = -s*y - 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -a9f?\nAnswer: -a9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**2 - d + 4. Let s(q) be the first derivative of 2*q**3\/3 + q**2\/2 - 3*q - 27. Let k be (46 - 49)\/(1\/5*-3). Calculate k*r(g) + 6*s(g).\nAnswer: 2*g**2 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((9*-2)\/3)\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -87 - -95. Let i(w) = -w**3 + 9*w**2 + 5*w + 3. Let j be i(7). Calculate the greatest common divisor of u and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210305310 to the power of 1\/3, to the nearest integer?\nAnswer: 595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27264.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 51273320 (base 8) to base 13\nAnswer: 23289aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**5 - 572 + 572 - 34*a + (-3*a**5 + 5*a**5 - a**5)*(1 + 3 - 3) + 2*a**5 + 3*a**3 - 3*a**3.\nAnswer: a**5 - 34*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -2*j - 194, 0*q - 5*j - 35 = -q. Suppose -q = -x + 2*u, u = 2*x - 3*x + 38. What is x rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 2*v**2 - 5\/3*v**3 + 2*v + 1 + 1\/4*v**4. What is the units digit of o(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 4*t + 75, 0*l = 5*l + 5*t - 425. Suppose -4*s + l + 66 = 3*b, 3*s = 2*b + 99. Is 12 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 - 62. Let v = -18 - f. What is the remainder when 22 is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*j**3 - 4*j**2 + 28 + 2*j - 51 + 23.\nAnswer: 28*j**3 - 4*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/13 in -36.83, 1\/6, -0.05?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -33 + 8333\/117 + -38. Suppose 2\/9*s**3 + 4\/9 - 2\/3*s**2 + 2\/9*s**4 - f*s = 0. What is s?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of p**4\/12 + p**3\/6 + 2*p. Let g be n(-2). Suppose 2*d + g*d - 8 = 0. Solve -7 = 4*r - c, 0 = -4*r - 2*c - 0*c + d for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47 - (-75 - -36) - 46.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4178, -33482, -113066, -268070, -523634, -904898, -1437002, -2145086?\nAnswer: -3054290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1222*(-13)\/338 - 124.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 4 + (5 - 6 + 0)*(0 + 5 - 3))*(1 - 4 + 1)*(0*s + 3*s + 0*s)*(2 - 5 + 4) as z*s + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 328713.\nAnswer: 4\/328713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 1624 divide 128760464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -345 - -1723\/5. What is the closest to 1\/2 in 0.5, -3\/8, -10.1, o?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/(-1) + 195\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (95 - 0) + 29905 + -29971\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + 13*y**2 - 8. Let p be k(-13). Let j = -5 - p. Suppose 431 = j*g - 40. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2+1286623466789\nAnswer: 1286623466787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 0, -281135 in ascending order.\nAnswer: -281135, -26, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 5*h + a, 5*h + 32 = -a - 3*a. Let o = h - -11. Suppose -16 = -4*r + o*r. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (60\/(-18))\/(3\/9). Let b(q) = q**3 + 10*q**2 + 2*q. Let o be b(s). Is o less than -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -5, 1757 in ascending order.\nAnswer: -5, -0.1, 1757","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/6 - (210\/(-4) + 3). Calculate the highest common divisor of d and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -97\/2213?\nAnswer: -97\/2213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44949139 and 391.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 3*i - 5*p - 7, 0 = 3*i - p - 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/5)\/o*o*o**2)\/(o**0*o)**(1\/4) assuming o is positive.\nAnswer: o**(47\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 44*h**2 - 40*h - 130. Let v be l(43). Sort 1, v, -2, 32 in increasing order.\nAnswer: -2, v, 1, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -5*f + 85, 2*f - 2286*p - 3 = -2281*p for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 6*d**2 + 11*d - 22. Let t be x(7). Solve 8*q = t*q - 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16 - 335061?\nAnswer: -335110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y - 10. Let o be (-1 - 0)*(-24)\/(-3). Determine r(o).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, b: 1, z: 4, d: 3, l: 5, o: 1}. Give prob of sequence llol.\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0631, -14.38, 4, 4\/3.\nAnswer: -14.38, -0.0631, 4\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29\/522*5*-82*4\/10?\nAnswer: -82\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + -8 + 1 + -9 + 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 9*g**4 + 24*g**2 + 36*g. Let a(w) = 2*w**4 + 5*w**2 + 7*w. Let d(x) = -24*a(x) + 5*y(x). Find the second derivative of d(q) wrt q.\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 44 = -18. Let s = -34 + a. What is the common denominator of s and 3\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-18)*-3*1. Is a bigger than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/4*64\/24. Which is the biggest value? (a) 0 (b) g (c) 2\/3 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -651*x - 214. Let a be h(-3). Calculate the highest common divisor of a and 564.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -810*r**3*s**2 + 20680*r**2*s**2 - s**2 - 7949719 wrt r?\nAnswer: -2430*r**2*s**2 + 41360*r*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z - 9*z + 10 + 6*z - 18 - 12 - 3*z**3 in the form o*z + d + x*z**3 + f*z**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2340581 minus -0.0945?\nAnswer: -2340580.9055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + u - 9 = 0. Let g(m) = -4*m + 40. Let r(h) = -3*h + 27. Let z(v) = -5*g(v) + 7*r(v). Let b be z(-7). Put -5, b, u in descending order.\nAnswer: u, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -3*q**2 - 1\/720*q**6 + 0 + 0*q + 0*q**3 + 0*q**4 + 0*q**5. Determine f, given that j(f) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -13. Let j be (-10)\/6*(2 - 5). Let u = j + s. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25*-2475\nAnswer: -61875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 12:08 AM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 38, 83, 142, 215, 302?\nAnswer: 403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v*v**(-1\/3)\/v)\/v))**(-3\/10)\/(v*(v\/((v*v**(-2))\/v)*v*v)\/v*v)**(-6\/17) assuming v is positive.\nAnswer: v**(241\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-6)\/p**2*p*p*p**(-1\/2)*p*p**(-6)*p*(((p**(2\/3)\/p)\/p*p)\/p)**21*(p*p**(-2\/5)*p)**(1\/53) assuming p is positive.\nAnswer: p**(-20389\/530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 6*p + 4 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4462 + -3967. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of f**5\/10 + f**4\/12 + 2*f - 2. Let p(k) be the first derivative of l(k). What is the third derivative of p(z) wrt z?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v. Suppose 5*k = -3*i + 16, 0 = -7*i + 6*i - 4*k + 10. Let y(g) = -5*g + 8. Let h(w) = -2*w. Let j(r) = i*h(r) - y(r). Determine t(j(q)).\nAnswer: -q + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrperrrermmpbrrrrrr. What is prob of picking 2 p?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1116, -1118, -1120?\n\"Answer: -2*a - 1114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 5 in ascending order.\nAnswer: -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -2. Let f be (-8)\/(-3)*-3 - -11. Let i be (4 - (f - -1))\/n. Solve i = -4*w + 3*w - 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by -1241?\nAnswer: -15\/1241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m = 3*m - 30 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 6*d + 132. Let j be v(9). Put -1, j, 0, -44 in decreasing order.\nAnswer: 0, -1, j, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 444 is divided by 149.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {a: 1, z: 7, m: 1}.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -17 (b) 200251 (c) 2 (d) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 10009590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 4*g - 21, -23 = -g - g - 3*w. Suppose -g*u = -8, -3*k = -u - 3*u + 11. Let r(a) = 9*a**2 + a. Calculate the lowest common multiple of 8 and r(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39.000028 - -39. Round a to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c - 4*c + 4*c)*(0 + 0 - 2)*(-2*c**2 - 2*c**2 - 2*c**2) in the form l*c**3 + w + n*c + m*c**2 and give l.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -4292*w - 4297. Determine a(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 71 + -36. Suppose -d + 5*w + 24 = -6, -4*d + 3*w + p = 0. Find the second derivative of 2*q - 3*q**d + 4*q**5 + 0*q**5 wrt q.\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -201.\nAnswer: 40.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -34*v**4 - 968*v**3 - 1154*v + 787293640 wrt v.\nAnswer: -136*v**3 - 2904*v**2 - 1154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 + 29. Put -1, i, -5 in decreasing order.\nAnswer: i, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**2 - 1118*b - 22589. Calculate n(-21).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -428 - -538. Calculate the smallest common multiple of s and 120.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18.561 + -17.8. Let w = z - 0.7609619. What is w rounded to six dps?\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44 - -47. Suppose 2 + 4 = t*j. Suppose -a - 32 = -n, -107 = -4*n - j*a - a. Is n a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -1\/4*h**4 + 0*h - 14*h**2 + 0 + 5\/6*h**3. Differentiate z(p) wrt p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1155 - 755. Let d = f + -395. Which is the second biggest value? (a) 1.8 (b) d (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 23 = -3*m. Suppose 5*z - 3*s = 10, -3*s + 25 = 2*s. Calculate the remainder when m is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -a**4\/24 - 3*a**2 + a - 1297. Let h(j) = -212*j**2 - 7*j + 1. Give k(h(b)).\nAnswer: 212*b**2 + 7*b - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-7) + 60\/14. Let k(a) = -a**2 + 4*a + 1. Let v be k(p). Let d(h) = h**3 - h. Let m be d(v). Which is smaller: -3\/8 or m?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5520630 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-9)\/(((i*i*i**(2\/7)*i)\/i*i*i)\/i)*(i\/(i\/(i\/(i*(i\/(i**(2\/11)*i))\/i))*i))\/(i\/(i\/i**(6\/7)*i)) assuming i is positive.\nAnswer: i**(-921\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 10:05 PM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-7 + 1 + 4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 218650207 to the nearest integer?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.147 * -0.046293\nAnswer: -0.006805071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yqz when three letters picked without replacement from yzygszyqyq.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16689 is divided by 265?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r**2 + 2. Let x(s) = -304*s + 325*s + 1976 - 1976. Determine x(i(n)).\nAnswer: 84*n**2 + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1*sqrt(19) + -5)*-3.\nAnswer: -30 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2658.\nAnswer: 2, 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -4. Let p be (-100)\/(-8)*(2 - 0). Suppose p = -u + f*u. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.35*0.181.\nAnswer: -0.06335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37335553.\nAnswer: 17, 37, 59357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2. Let c be 16\/(-56) + 30\/7. Let i(n) = 10 + 6*n - c*n - 25*n + 57*n. Let a(j) = 11*j + 3. Let k(y) = -10*a(y) + 3*i(y). Give k(d(p)).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2150\/(-60) + (1015\/35 - -6).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 164 = -17. Let o = r + 41. Which is smaller: -13\/2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -90, -160, 20 in ascending order.\nAnswer: -160, -90, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*n + 33 = 0, 3*q + 2*q - 51 = 2*n. Let h(u) = u**3 - 10*u**2 + 9*u - 6. Let y be h(q). Let v(b) = 2*b + 9. What is v(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -7\/5, -4, 5, -46\/9, 197, 1?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1320716.199947 - -1320715. Let f = 1.2 + j. Round f to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1799 - 1462. Let l be 2\/(-6) + 25\/3. Suppose 8455 + r = l*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 5*i + 410 = 407, 0 = -5*f - 2*i + 14. Determine x so that -1\/5*x**3 + 1\/5*x**f + 1\/5*x - 1\/5*x**2 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/5))**50 assuming l is positive.\nAnswer: l**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 11*i**2 + 11*i - 9. Let m be j(-12). Suppose -2*o + 107 = 5*a, -5*a + m*o + 44 = -83. What is the remainder when a is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20944657?\nAnswer: 47, 445631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 245*q + 33 = -247*q, -6*x - q - 21 = -5*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*27\/(-81)*12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -72 times 172429\nAnswer: -12414888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 17*q. Let f be m(3). Suppose f = g - 2*p, g - 2*p = -2*g + 133. Is 14 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 208619.51985 + 14\nAnswer: 208633.51985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**5\/10 - 2*m**4\/5.\nAnswer: m**4*(m - 4)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - ((-17)\/4 - 6\/(-24)). Let v be -2 + 3\/l*2202. Suppose -d = -v - 552. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 467109 divided by -43\nAnswer: -10863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 4*u - 80 - 47 = 5*m, 126 = 10*u - 16*u for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 211 and 23594.\nAnswer: 4978334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 6*t + 55. Let k = t - -13. Solve -5*c - 35 = 5*u, 4 = -0*u + 3*u - k*c for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8 - 6)*(-2 - -4). Suppose -a*h - 84 - 121 = 3*x, -2*h = 5*x + 113. What is the units digit of (-231)\/h - 2\/(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -d + 18 - 14, -3*d + 29 = 5*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -176575110 rounded to the nearest one million?\nAnswer: -177000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 14 = -0*z - 2*n, 3*z = 3*n + 15. Let g = 1982\/9 - 220. Which is smaller: z or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -8*n - 3*n + 1 + 2*n + 1. Is i(-4) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5699 by -9830.\nAnswer: -5699\/9830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11.405 * -17466.\nAnswer: 199199.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - 83) + 0 + 13 + 2 + (-4 - 8).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 5*j**2 + j - 1. Let s(c) = c - 11. Let f be s(6). Does 26 divide q(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -8. Suppose -4 = d*s - s. Let f be (-94)\/(-4) - s\/(-8). Solve 0 = -5*l + 4*a + f, -6*a = -2*a + 8 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -12 + 10 - 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.39 minus -34428761664?\nAnswer: 34428761664.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 121 + 2343. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o + 50. Let y(w) = -4*w + 101. Let t(v) = 5*m(v) - 2*y(v). What is the remainder when (3\/2)\/(6\/32) is divided by t(21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-870549)\/(-4) - (((-84)\/24)\/7)\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + n - 3*n)*(-16 - 18 + 66*n + 34).\nAnswer: -198*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -345*h + 201 - 101 - 100.\nAnswer: -345*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(9\/4)\/x)\/x*x\/x**(1\/11))**(23\/2)\/((x**(-1\/8)\/(x\/(x*x**(2\/9))))\/(x\/(x\/(x*x*x\/x**0))*x)**(30\/13)) assuming x is positive.\nAnswer: x**(87421\/2574)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-seven fifths of a micrometer?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2 + 9972020*r + 4972059144020.\nAnswer: 5*(r + 997202)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14528 and 116224.\nAnswer: 116224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -230*k**3 - 10 + 229*k**3 - 826*k**4 + 822*k**4 - 2*k + 6*k**2 to the form u + r*k**2 + q*k**3 + f*k + c*k**4 and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -43\/70*h**7 + 0*h**4 + 0*h**3 + 0*h + 92*h**2 + 0 + 1\/60*h**6 - 13\/10*h**5. What is the third derivative of n(r) wrt r?\nAnswer: -3096*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -55?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/14 and (-4)\/6 - 197\/(-30).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 14964666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 10:44 PM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -1) + (-49 - -40) - (0 + 3)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 249 - 264. Let i(c) = 18*c**2 + c**3 + 4*c**3 + 7*c**3 + 15*c. Let j(g) = -g**3 - g**2 - g. Let f(b) = z*j(b) - i(b). Let f(u) = 0. What is u?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/180 and 133\/108.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2962362 divided by 2?\nAnswer: -1481181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -453*f + 1012 = 5089 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 303 > 306?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -660 - -659.557. What is b rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.003488 and 1.\nAnswer: 0.003488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 33303169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 - 2*b**2 + 6*b**2)*(-5*b + 15 - 15) + (4 + 3 - 4)*(-33*b**2 - 59*b**3 + 33*b**2).\nAnswer: -197*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 44, 68, 98, 134?\n\"Answer: 3*z**2 + 15*z + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -2*u**3 - 3*u + 3. What is the first derivative of z(w) wrt w?\nAnswer: -12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 227 + -219. Sort a, -6, 2.\nAnswer: -6, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 144620 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 85*x**2 + 537*x + 459. Does 49 divide r(86)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -12*b**3 + 4*b**2 - 4*b. Let p(h) = -h**2 + h. Give 4*p(a) + w(a).\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/12 + 35\/(-15). Let a be 1*(1 + g - -214). Find the first derivative of -225 + a - 3*u**3 + 4*u**3 wrt u.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 28*u + 18. Let q(f) = 5*f - 1. What is k(p) - 6*q(p)?\nAnswer: -2*p + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1216457.\nAnswer: 11, 110587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/6 and 7\/24454?\nAnswer: 73362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 9*k**2 - 13*k - 20. Give f(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2485 = 188*u - 158 - 259 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -7*a**3\/3 - 79*a**2\/2 - 199*a. Calculate j(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/10)\/(39\/15)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 8*g + 39. Let x(f) = -23*f - 114. Calculate -17*i(r) - 6*x(r).\nAnswer: 2*r + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 32.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - b - 1448355 = 0, 3*z + 2*b + 752694 = -333576. Let a = z + 627534. Suppose -3*v + 64554 = -a. Round v to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 1780?\nAnswer: 5340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17.00000022 + 17. Round r to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 522*k + 18444. Calculate t(-32).\nAnswer: 1740","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 27.18627016 and 0.2?\nAnswer: 26.98627016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 4. Let u be y\/(-4) + (-31)\/4. List the prime factors of 18*((-28)\/u + -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 376*c - 3824 = 283*c + 640 for c.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*q - 1. Let l be (-4)\/(-3) - q\/(-6). Suppose 6*b - l*b = 120. What is the greatest common factor of 45 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223*t - 19899 = -495*t - 19*t for t.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**3 + 40*a**2 - 2*a - 45. Is 37 a factor of x(19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**17)\/o*o**(-9)*o assuming o is positive.\nAnswer: o**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1232005*u + 441818*u - 1431834*u.\nAnswer: -2222021*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 3*w + 12 = -w, 3*w = -m - 7 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - sqrt(156)\/sqrt(108))**2 + (2 + sqrt(1053))**2.\nAnswer: 36*sqrt(13) + 9565\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 87*f**2. Let d(z) = -14*z + 19*z - 11*z + z**2 + z**2. Let b(n) = -2*n**2 + 4*n. Let w(t) = -3*b(t) - 2*d(t). What is w(j(u))?\nAnswer: 15138*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111111100 - 11?\nAnswer: -10111111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10184.037215 - -10184. What is r rounded to 3 decimal places?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 5*u**3 + u**2 + 4*u. Let y be p(-3). Let l = -344 + y. Let c = -271 - l. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 3*n + 4470, -4*x = -5*n + n - 3568. List the prime factors of x.\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5003.\nAnswer: 5003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -420.93 at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4791, -4791, -4793, -4797, -4803?\nAnswer: -4811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 434010 a multiple of 222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 6*o**2 - 10*o + 83. Let d be h(7). Let l be 48 - (2\/3)\/((-6)\/d). Is l < 42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 9, 680, 0.11, -0.4?\nAnswer: 680","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.061 - 0.339. Let t = 603 + -608. What is the nearest to 2\/5 in -0.3, t, m?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 369\/15 + (-18)\/(-45). Let n = 0 + 0. Suppose n = -5*m + f, -2*s - 2*m + 25 = -m. Solve s = v + v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2000111021 + 1?\nAnswer: 2000111022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -7 - 3. Suppose -d*y = -k - 3*y + 1, 5*k - 2*y = -30. Is 15*(20\/(-3))\/k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/3 - (-16)\/12. Suppose -5*a - 3*n + 203 = l, -a - 4*n + 45 = n. Let u be 1\/(-2) - 86\/(-4). Solve y = -2*i - 2*y + u, 5*y - a = -5*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1901 is divided by 58?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 2*x + x + 14, 4*i = 5*x + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -235930810*l**2 - 164899630*l wrt l.\nAnswer: -471861620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 939006259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 6*x**2 - 4*x + 6. Let l be p(-6). Let v = 1321 - 521. Let o = -799 + v. Which is the nearest to o? (a) -4 (b) 0.4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 177551979*f**2 + 78231*f + 6779 wrt f.\nAnswer: 355103958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 10*r**2 - 15*r + 5. Suppose -3*w - 28 = -n, -3*w + n + 4*n - 8 = 0. Is x(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6165 greater than or equal to 6165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-1 + (4 - -2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -866*q**6 + 15*q**4 + 2*q**2 + 830?\nAnswer: -103920*q**3 + 360*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1884)\/19782)\/(-2*(-253)\/(-308))?\nAnswer: 4\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g - 1. Let l be f(10). Solve 10*z = l*z - 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -54.67 to zero decimal places.\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 883304083 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 225*a + 906. Determine t(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Solve -92*l + 267*l + 132*l = 5526 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -9. Let a(i) = -3*i**2 - 15*i + 1. Let g be a(-5). Suppose 4*r = -3*m + 15, -r + 2*m - g = -2*m. Solve d = 4*l - r for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 3072?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 24*y. Let a(p) = -159*p. What is o(a(i))?\nAnswer: -3816*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3927 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 6 = 0, 5*z - 90 = 2*f + 34. Let n(i) be the first derivative of 0*i + z + 0*i**4 - 3\/25*i**5 + 0*i**2 + 0*i**3. Factor n(m).\nAnswer: -3*m**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-116)\/(-4))\/(7\/(-4))*14917\/(-4262).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3948.209 - -3950. Let a = y - 0.091. Is 0.1 less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -71\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + -3 + -9 + 7. List the prime factors of 0 - (-42 - (1 + q)).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57*o - 22*o - 145*o)*(-5*o + 40*o + 202*o + 57*o - 48*o).\nAnswer: -27060*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 480777.1 centuries?\nAnswer: 48077.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 85, 114, 127, 118, 81, 10, -101?\nAnswer: -258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*o - 9*o - 70 = 0. Let d(w) = -w. Give d(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 4*n - 201. Let d(z) = -5*z + 230. Let x(h) = -7*d(h) - 8*v(h). Let b(l) = -7*l + 5. Give -2*b(j) - 5*x(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, c: 4, a: 2, v: 4, d: 1}. What is prob of sequence yc?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -311\/7, -80?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) -2794 (c) -4 (d) -1 (e) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 9*i**2 + 2. Let d be l(9). Find the second derivative of 0*y**4 + 7*y**4 - d*y**4 + 6*y - 5*y wrt y.\nAnswer: 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.19917741186 - 81?\nAnswer: -91.19917741186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1204633, -1204634, -1204635, -1204636, -1204637, -1204638?\n\"Answer: -d - 1204632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11\/2, 88, 0.86, 0.1, 4\/5, -2, 0?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -8 - 7 - 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 482, 494, 506, 518, 530, 542?\nAnswer: 554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m + 3*m + m**3 - 2*m + 0*m**3.\nAnswer: m**3 + 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 - 2 + 2)*(-450*j**3 - 450*j**3 + 842*j**3) - 8*j**4 + 8*j**4 - 12*j**5.\nAnswer: -186*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 9\/5, 1, 0, 1913\/4, 0.2, -1\/14 in descending order.\nAnswer: 1913\/4, 9\/5, 1, 0.2, 0, -1\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*l + 2*l - 6*l)*(-8743 + 2143 - 2678) as p*l + n and give p.\nAnswer: -9278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6614.\nAnswer: 2, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 2*i**3 + 4*i**3 - 10*i**4 - 4*i**4 + 11*i**4 in the form p*i**4 + o + u*i**2 + w*i**3 + j*i and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 41803, 83810, 125809, 167794, 209759, 251698, 293605?\n\"Answer: -d**3 + 2*d**2 + 42008*d - 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 59261 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**2\/2 + 1041*l + 2081\/2 = 0. What is l?\nAnswer: -2081, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 82 + -31. Let y = w + -49. Factor 0*z + 3\/5*z**y + 0.\nAnswer: 3*z**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from pjpjpppjppp.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((18\/21)\/(-3))\/(40\/(-56)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 16 = -9*s. Find the third derivative of -s*g**5 - 2*g**2 - 4*g**5 - 3*g**5 + 4*g**5 wrt g.\nAnswer: -420*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -49?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -2583205\/23 and -112312 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of -h**6\/60 + 17*h**5\/30 + 115*h**3\/2 + 112*h**2 + 2. What is the derivative of f(u) wrt u?\nAnswer: -6*u**2 + 68*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-3\/22)*v))\/(v*v**(-4\/19))*v**(-2)\/v**(14\/9) assuming v is positive.\nAnswer: v**(-15833\/3762)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101221 - -2000?\nAnswer: 110221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c (base 14) in base 12?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3915 = 5*w, -8*w + 2*j + 789 = -7*w. Is 49 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 819 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 25*m - 336. Let t be r(14). Let d(j) = 38*j - 357. Let w be d(t). Calculate the greatest common divisor of w and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*-1 - (1 - -1). Which is the nearest to -2\/9? (a) -4 (b) f (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v**5 + 64*v**4 - 172*v**3 - 240*v**2 = 0. What is v?\nAnswer: -1, 0, 5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggpggggpgptt. What is prob of sequence gt?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -217*n + 4990. Let v be s(23). Is v greater than or equal to -9\/4162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 71.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(((-336)\/(-288))\/((-7)\/(-4)))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.1, -5.9, 4 in ascending order.\nAnswer: -5.9, -3, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 170, 579, 1278, 2315, 3738, 5595?\nAnswer: 7934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/40 of a day?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17689 rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 18*q**2 + 20*q - 7. Let k be x(19). Solve k = g + 2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 17*y**3 - 7*y**2 + 295*y - 1835. What is a(6)?\nAnswer: 3355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(1\/2))**(-2\/9))**(28\/9)*(r**(1\/3)\/r)**(-1\/29)\/(r**(-1\/5)\/r**(-2)) assuming r is positive.\nAnswer: r**(-24931\/11745)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 102843, 102172, 101491, 100794, 100075, 99328, 98547?\n\"Answer: -g**3 + g**2 - 667*g + 103510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.8 - 0.1. Let j = 1204 - 1200. Which is the fourth biggest value? (a) o (b) 0.1 (c) 2\/3 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 14*j - 43. Solve -j*y = 2*y + 24 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*m - 198, m - 1153*i + 1150*i - 44 = 0. What is the lowest common multiple of 775 and m?\nAnswer: 1550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3274, 6590, 9908, 13228, 16550, 19874?\n\"Answer: p**2 + 3313*p - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -12*o**2 + 11*o**2 + 3 + 1 - 6*o. Suppose 0*g + 2*g = 4*n - 38, 0 = -3*n - 3*g + 42. What is the lowest common multiple of n and r(-6)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n**(3\/5)*n))*n**4\/n*((n*n**(-1\/2))\/n)\/(n\/n**7))\/((n**2)**37)**(-10\/11) assuming n is positive.\nAnswer: n**(8511\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -853.69 - 1036.\nAnswer: -1889.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2. Let l(j) = 2*j**3 + 3*j - 1. Determine l(v) - 6*m(v).\nAnswer: 2*v**3 + 6*v**2 + 3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -81a3d (base 15) to base 6.\nAnswer: -12445151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*g - 15. Suppose -4*p + b + 10 = 3*b, -g*b = 5*p - 10. Calculate the least common multiple of 4 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18981 times -0.3?\nAnswer: 5694.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 - -0.9. Let k = 51\/2 + -28. What is the third smallest value in x, k, -2\/9, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of s**7\/105 + 2*s**6\/15 + 13*s**5\/30 + s**4\/2 + 2*s**2 - 408. Find n such that o(n) = 0.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/n**0)\/n)\/(n**(2\/3)*n))**(-1\/43))**27 assuming n is positive.\nAnswer: n**(45\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*1*(-10 - -11). Let w = -136 - -547\/4. Let u be (-1)\/(-2)*8\/(-10). What is the second smallest value in w, u, g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = k + 12, -5*v - 10 = -3*k + 31. Let n be 1\/(-2)*(-26)\/v. Which is bigger: -2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 minus -376.33?\nAnswer: 333.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 7 = 3 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 2)*(-2142 - 93*c**2 + 2142) + (-4 + 4 - c)*(-3*c + 2*c + 2*c).\nAnswer: 185*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 584\/24 + (-182)\/42. What is the smallest value in 0.5, 1\/4, y?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1900008 and 18762579.\nAnswer: 150100632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 549 divide 1030473?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 12:41 AM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22112012 - 12?\nAnswer: -22112101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 48 = -4*k - a, 3*a = -2*k - 24. Suppose -4*r + 35*r = 1519. Let u = r + k. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 89 + -55. Let c = q - 34. Suppose r - 3*y - 238 = c, 818 = 5*r - 3*y - 348. What is r rounded to the nearest ten?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.035 (b) 7\/31 (c) -3\/2 (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 0.2, 3\/7, -2, 8, -2\/121 in decreasing order.\nAnswer: 8, 3\/7, 0.2, -2\/121, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 125 and 250?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5\/4*(-54)\/135\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 359268 and 392?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*o**4 + 45*o**3 + 45*o**2 = 0. Calculate o.\nAnswer: -3\/4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4654 + 260595\/56. Calculate the common denominator of n and -3\/112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52687 (base 9) to base 15.\nAnswer: a4bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c**3 - 6*c**2 - c + 1. Let k(l) = 4*l**3 + 7*l**2 - 1. Let b(m) = -3*d(m) - 2*k(m). Let f be (-7)\/(-2) + -2 - (-180)\/(-40). Determine b(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123004*i**2 + 60991*i**2 + 62015*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m = -17*m + 24 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 24\/20 - -3\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1543455 (base 7) in base 9?\nAnswer: -353510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - (14 - (17 + -6)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b + 9. Let t(w) = 3*w + 8. Determine 6*j(f) - 5*t(f).\nAnswer: -3*f + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/78648145 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 6) in base 16?\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42 - -60. Let c = w - 13. Suppose -280 = -5*s - 3*l, -c*s - l + 255 = -3*l. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/136 - (-88)\/(-119). Let i be (-216)\/30 + 4 + -1 + 5. Which is the fourth smallest value? (a) i (b) -0.01 (c) -2 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -17*t - 1. Determine z(1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 3*r**2 + 11*r + 39. Let y be v(-6). Let o = y + 678. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73845\/4 < 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 6 - 5*s)*(278 - 276 + 306 + 273).\nAnswer: -2905*s + 1162","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 + -23. Suppose -3*h = -3 + d. Let s be 14\/35*(-9)\/18. What is the closest to h in s, 3\/5, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 37088802307 and -27.\nAnswer: 37088802280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 4*v. Let i be m(-3). Let u = i - 1. Let n = -3 - u. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 6*n - 10)*(n**2 + 0*n**2 + 4*n**2) - 2*n**3 + 3*n**3 - 5*n**3.\nAnswer: -34*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nncc when four letters picked without replacement from cavwcnn?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*o - 53*o + 7 = -a, 0 = 5*a + o + 14 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-30)\/(-9))\/((-2)\/(-3)). Suppose -17 = -3*g + m, 0 = s*g + 3*m - 26 + 7. Solve 0 = g*c - 8*c + 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.018574473 to six dps.\nAnswer: -0.018574","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -127 by -3.\nAnswer: 127\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r**2 + r + 1. Let t be c(-1). Suppose -6 = -3*d - t. Is ((-9328)\/48)\/(d\/(-3)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 14*v**2 - 16*v - 32. What is the smallest common multiple of x(-13) and 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 8*v**2 + v - 8. Let b be l(8). Let p be b\/(-4 + 2)*1. Suppose 3*f - 148 - 47 = p. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 705933 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-56)\/126)\/((-3)\/(-9))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/5? (a) -4\/9 (b) 1 (c) 0.2 (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3*o + 1 = 0, -1 = 4*o - 5. Let z = 0.04 - 0.34. Which is the biggest value? (a) z (b) d (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 545, 2118, 4777, 8552, 13473, 19570, 26873?\nAnswer: 35412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -12*(75\/(-30))\/(60\/12)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (109 - 97) + -4 + -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1023 - -1023.1. Which is the nearest to z? (a) -3 (b) -0.5 (c) -67 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/1569 (b) -2\/17 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 + 15)*2\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1331))**2 + sqrt(11) + 4 + (sqrt(44) - sqrt(11))**2.\nAnswer: sqrt(11) + 1346","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)*-3 + 3*(1 + sqrt(13)) + 5 + (sqrt(52) - (sqrt(832) - -2*sqrt(832) - sqrt(832)))\/(sqrt(40)\/(sqrt(20)\/sqrt(2))))**2.\nAnswer: -160*sqrt(13) + 1364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 47977708063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w + 2*w - 2*w + 4*w in the form s*w + h and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1953663986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24041257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ouou when four letters picked without replacement from uuoouo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (25 - 7) + -16?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*r + 10*r = 5*r + 220 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -489 (base 11) to base 3\nAnswer: -210112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4d6124 (base 14) to base 16.\nAnswer: 28b384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - 9*s - 5. Calculate k(4).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -578\/15 - -3407\/60. Calculate the common denominator of y and (2\/62)\/(4\/76).\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.342, -0.5, -4349, 2\/5 in decreasing order.\nAnswer: 2\/5, 0.342, -0.5, -4349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/(-30)*(0 + 6). Let r(u) = -19*u**2 + 2*u - 4. Let q(a) = 20*a**2 - 3*a + 3. Let v(w) = l*r(w) - 4*q(w). Find the second derivative of v(c) wrt c.\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 7 - 51 = 0. Suppose -4*s + 2*m + 94 = 0, -s - m = -0*m - y. List the prime factors of s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**12\/w*w*(w\/w**(1\/11))\/w)\/(((w**13\/w*w)\/w)\/w**(-14\/5)) assuming w is positive.\nAnswer: w**(-159\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 2*r - 5*y - 3, 0 = 5*r + y - 15. Suppose 24 = 3*n + r*f, -5*f - 7 = 4*n - 43. Solve 5*t - 5 = -2*v, -n*t = -4*v + 3*v - 17 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 6*n**3 + 64*n**2 + 9*n + 12. Let c be k(-9). Calculate the highest common factor of c and 1677.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -13. Solve -2*n - 2 = -2*q - 4, t*n - 2 = 4*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8386147\/258 - 32505. Calculate the common denominator of d and 31\/688.\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -124\/11 < 1\/5229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 + 0.3. Let w be (-35 + 36)*(1 - 3)\/2. Which is the nearest to 2? (a) j (b) 4\/7 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3997500*r**2 + 149*r + 11816.\nAnswer: -7995000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a year in months?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/54 and (7 - 99\/15) + 1592\/(-3330).\nAnswer: 1998","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38 and 9?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-18) + (-3105)\/162 - -58.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**4 - 4722*d**3 - 1325865*d**2 - 88118616*d - 252550800 = 0 for d.\nAnswer: -124, -3, 1825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**3\/3 - 14*c**2 + 2*c\/3 + 14 = 0.\nAnswer: -21, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4690 divided by 469?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ewe when three letters picked without replacement from eemweteewewm?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110010011 - 10?\nAnswer: -110010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 653460?\nAnswer: 2, 3, 5, 10891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2172b73 (base 12) to base 16.\nAnswer: -613707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2)*(-34*x + 12*x - 13*x) - x - 2 + 2 + (0 + 0 + 1)*(0*x + 2*x + 0*x).\nAnswer: 71*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**3*t)*t)\/(t*t\/(t\/(((t**(-2\/9)\/t)\/t*t)\/t))))**(2\/171)\/((t**(-1\/3)*t**(-2\/13))\/(t**(7\/5)*t*t\/(t*t**(-1\/4)*t))) assuming t is positive.\nAnswer: t**(851531\/400140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -30837*f + 493389. Calculate a(16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5003155041 and -508?\nAnswer: 5003155549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.96 + -0.04. Let u = -8072 - -8076. What is the third biggest value in -31, a, u?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 909315287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - q**2 + 3*q + 4. Give b(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84348 and 45.\nAnswer: 421740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6009 divided by 3\nAnswer: -2003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -66?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + r + 2*d + 457 = 0, 0 = -3*d + 3. What is the remainder when r is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 13*a. Suppose m - 21 + 22 = a. Is m*(-5 - -1372)\/(1 + -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006351 to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*((-2)\/(-8) + -2). Let o(v) be the second derivative of -v**4\/12 + 3*v**3\/2 - 5*v**2 - 104*v. Determine o(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one quarters of a week in hours?\nAnswer: 3402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -119*h + 6*h**2 - 10 + 123*h + 2*h**2 + 13 to z*h + l + g*h**2 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 4*t - 1)*(3*t**3 + 12*t - 12*t) in the form x*t + r*t**2 + l + d*t**4 + g*t**3 and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/6 - 259\/21. Is 3 a factor of (w\/(-7))\/((195\/182)\/15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2865469?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-46920)\/(-644))\/(9\/42). What is the highest common divisor of n and 765?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 456 = 82*u - 234*u. Let c(y) = 17*y - 2. Give c(u).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66893, -133733, -200477, -267077, -333485, -399653, -465533, -531077?\nAnswer: -596237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 507 is divided by 37?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -10. Let x = 1 - k. Put 1, 2, x in increasing order.\nAnswer: 1, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**3 + 510*o**2 - 86700*o + 4913000 = 0.\nAnswer: 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175)\/sqrt(5)*-1)\/(sqrt(45)\/(sqrt(9)*4) - sqrt(5)).\nAnswer: 4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1*(h**(1\/3)\/h*h*h)\/h)**48 assuming h is positive.\nAnswer: h**64","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 59 + -36. Suppose 0 = -r + 4*y + 27, 3*y + 2*y - 2 = -2*r. Let q = k - r. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1310283184 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 12*r**2 + 85*r - 1599. Let q(a) = 2*a**2 + 14*a - 282. Let l(u) = -3*m(u) + 17*q(u). Calculate l(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -f**4\/4 - 3*f**3 - 4*f**2 + 4*f + 3. Let q be o(-6). Let v = 81 + q. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2680*o = -2205*o + 19950 for o.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = a - 34, a = 4*z - 3*a - 8. Suppose 0 = -r - s + z, -r = 3*r - 3*s - 3. Suppose 0 = 3*c - 24 + r. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 2\/39, -7754, -40?\nAnswer: -7754","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 43*l**3 + 41*l**3 - 89*l**3 + l in the form t*l**3 + u + y*l**2 + n*l and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(252)*-1)**2 + (3 + (sqrt(252) - 1*sqrt(252)))**2.\nAnswer: -12*sqrt(7) + 262","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -59*r - 10. Calculate the remainder when p(-2) is divided by -4 + 27 + (-1 - 0).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -127 - -90. Let r = -20 - d. Is r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2*(2*sqrt(190)*-4 + -6*sqrt(190)*-1)\/(sqrt(60)\/(sqrt(30)\/sqrt(5)) + -1*-1*sqrt(10)))**2.\nAnswer: 20*sqrt(19) + 101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from ncdmnumnuucucn?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (20\/5)\/(8\/6). Suppose -f = 3*l - 5*l - 3, l + a = f. Suppose 4*v - 747 - 313 = l. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -48\/215333 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12.3692 - -0.1598. Let o = -0.229 + a. Let d = o + -12. Is -6\/11 not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c**3 - 15*c + 7. Let i(m) = m**3 - 5*m + 2. Let r(v) = 2*h(v) - 7*i(v). Find the second derivative of r(z) wrt z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (0 + -16 + -9 + 12)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*r = -d - 11, 3*d - r + 11 = 0. Let i be 2 - -1*0\/(-2). Let z(s) = -i*s + 2 + 3*s + 0. Let y(m) = -m - 2. Calculate d*y(u) - 4*z(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41 and 3977?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - 3) + -1 + 1 - (-35 + 28).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1163022953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*a + 5*h = 44*a + 29, 3*a + 17 = 4*h for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-30)\/(-3))*306\/(-17).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*f**3 + 1284*f + 215*f - 1499*f.\nAnswer: -81*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*f + 2*f - 5*w - 30, 3*f + w + 24 = 0. Let z(n) = -n**3 - 9*n**2 - n - 1. Let o be z(f). Suppose 0 = -b - 0*b + o. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15700382 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: What is (-46)\/(506\/(-297))*2\/10?\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -32\/3*p - 10\/3*p**3 - 34\/3*p**2 - 8\/3 = 0?\nAnswer: -2, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.9 in 0.12, 0.1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*h - 3*i + 12 + 43 = -62, 6*h = 5*h + 4*i - 156 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 0. Let m be (-15)\/(-10)*4\/3. What is the first derivative of -2 + i + 12*u**m - 13*u**2 wrt u?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2441 and 2567836801.\nAnswer: 2441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p**2 - 3*p**2 + 11*p**2 + p**2 + p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 292111.5 weeks in seconds?\nAnswer: 176669035200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 198381261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3780 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of j**4\/12 + 7*j**3\/6 + 4*j**2 - 14*j. Let c be n(-6). Factor -6*u - 84 + 16 - 4*u**c + 54*u - 76.\nAnswer: -4*(u - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 18*w - 101. Give s(9).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3818892\/77 + (-2 - -2 - 2).\nAnswer: 2, 137, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 4:20 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -293 - 2629. Find the common denominator of ((-1)\/((-75)\/(-80)))\/(9\/(-20)) and l\/990 + (-2)\/11.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*d**3 + 1 + 7832*d**2 + 7828*d**2 - 15658*d**2 + 5*d + 3 to z*d + t + f*d**3 + o*d**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -24*g + 892. What is d(38)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a minute in seconds?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1436606 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 636 and 16812?\nAnswer: 891036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 0 - 1\/5*j**2 + 9\/5*j = 0.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 + -1 - 3)\/(-2). Solve 3*v - 4 - 5 = m for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of 1\/4*f**4 + 12*f**2 - 11\/3*f**3 + 0 + 0*f. Let x be u(8). Is x greater than 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yjvjnjjyjjjjvjjz. Give prob of sequence nvy.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3027548318?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that s**4\/5 - s**3 - 183*s**2\/5 + 1593*s\/5 - 486 = 0.\nAnswer: -15, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**2\/7 + 133656*a\/7 + 2232990792\/7 = 0. What is a?\nAnswer: -33414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u - 31*u = -72. Let x = 1 + -1. Suppose x = 4*k - 16, u*k - 79 = -4*p + 45. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38162, 76264, 114392, 152558, 190774, 229052?\nAnswer: 267404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1183*q**3 - 4812*q**2.\nAnswer: 7098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -618795 - -983758. Let m = -1484869 + j. Let a = 659906 + m. Round a to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 432 divide 13188960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.14 + -1.14. Which is the closest to o? (a) 2\/11 (b) -0.2 (c) 0 (d) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3391017735?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.409428 milligrams in kilograms?\nAnswer: 0.000000409428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/6 + 33*d\/2.\nAnswer: d*(d + 99)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 16*l + 16. Let q be s(14). Suppose 12 = y - 5*x, 5*x + 6 = -4. Let p be (y\/3)\/((-2)\/q). Solve 0 = 2*n - 3*n + p for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4\/57 + -142\/399. Let z = 0.6 + -0.6. What is the biggest value in z, -1, l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.7 + 4.89. Let g = q - -16.41. Let h = g + -16.60067. What is h rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-40)\/(-210)*3\/2. Let v = 2.1 + -2. Let h = -0.1 + v. Sort -1, h, k in decreasing order.\nAnswer: k, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nineteen quarters of a century?\nAnswer: 5700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 383*w - 192*w - 65 = 196*w for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, o: 3, z: 1}. Give prob of picking 1 o, 1 t, and 1 z.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -99603*g - 99604. Determine z(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g + 2. Let k be z(-1). Let a = 2 + 3. Let b = -7 + 5. Put k, b, a in decreasing order.\nAnswer: a, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97824841?\nAnswer: 97824841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 1:12 PM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 492 = 12*n + 588 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -123680743886 - -669.\nAnswer: -123680743217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by 67.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 131 + -100. Let f = g - 34. Which is the closest to -1\/5? (a) f (b) 0.5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -616718 = -4*d - 4*k + 3880826, -d = -k - 1124396. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q - 4*t = -3*q - 1177, t + 476 = 2*q. Suppose 7634 = 239*a - q*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 444210 and 266526?\nAnswer: 1332630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 515324.9 litres?\nAnswer: 515324900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.9 - -3.7. Sort 0.5, -11, f.\nAnswer: -11, f, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2. Let i(x) = -x - 11. Suppose -3*b - 3*n = -90, -4*b - 3*n + 118 = -6. Give b*w(u) + 6*i(u).\nAnswer: -6*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9637524 by -4.\nAnswer: 2409381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 4. Let i(o) = 2*o - 5. Let f(j) = 9*j - 26. Suppose -2*d = -27 + 5. Let b(l) = d*i(l) - 2*f(l). Give b(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -93 - -95. Suppose l*q - 4*z = 274, -q + 415 = 2*q - 5*z. What is the greatest common divisor of 29 and q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -10*n + 1. Let l = 7 - 8. Let w be b(l). Calculate the greatest common factor of 11 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + b = -10, h - 3*h + 3*b = -10. Solve -18*w + 19 = 2*y - 15*w, 2*y - 5*w = -h for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -63*n**3 - 2. Let w(t) = -63*t**3 - 3. Determine 3*j(r) - 2*w(r).\nAnswer: -63*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.14319026 - 0.85680975. Let p = -3 - -5. Let q = w + p. What is q rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a**3 - 28*a**3 + 14*a**3 + 9*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26743692.\nAnswer: 2, 3, 409, 5449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -147, -339, -585, -897, -1287, -1767, -2349?\n\"Answer: -2*i**3 - 15*i**2 - 133*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -62 - 52. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**3 + 9*o**2 - 6*o - 2. Let x be h(-7). Let b = x + -295. What is b rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 7*d + 2. Let r be v(-7). Suppose -i = r*i - 78. Suppose 4*p - i - 2 = 0. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5340 + -5043. Let a = -92 - -146. Calculate the highest common factor of a and j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w + 8 = -0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -9. Suppose 0 = -0*p - p + y. What is the second derivative of -5*f + f**5 - 3 + p + 2*f wrt f?\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*((-6)\/1)\/6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7061549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**2 + 7*c - 8 = 0. What is c?\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 95\/17095228 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 1021303014422?\nAnswer: 1021303014412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -51*t - 20. Is c(-35) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18825?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7848 to the power of 1\/2, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a year in months?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2061, -4121, -6183, -8247, -10313?\nAnswer: -12381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -2\/105*s**7 + 140*s**2 + 0 + 0*s**3 + 0*s + 0*s**4 + 1\/5*s**6 - 1\/3*s**5. Let z(a) = 0. What is a?\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*(i*i**(-20)*i*i)\/i)\/i)\/i)\/i**7 assuming i is positive.\nAnswer: i**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2999 and 3926176.069.\nAnswer: 3923177.069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.269 - 0.769. Let y = -33 - -17. Let t = y - -15. Which is the closest to t? (a) 0.1 (b) -4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7509.393 millennia?\nAnswer: 75093.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*j + 5*w - 10, 1 = j - w. Let i = 0 + j. Suppose i*d = 5*t - 5, -2*d = 2*d - 4*t - 20. Calculate the remainder when 29 is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z + 6. Let i(q) = -q + 6. Let d(w) = -3*a(w) + 4*i(w). Suppose 28 = -y + 34. Determine d(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*17\/(-204))\/(2\/(-36)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 19*w**2 + 19*w - 36. Let x be b(18). What is the tens digit of 309*(-3 - 66\/x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/(-36)*-3*-4. Let p = t - -8. Find the second derivative of -5*q + 3*q + p*q - 3*q**4 wrt q.\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11656 divided by 31\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8704.1 rounded to the nearest one hundred?\nAnswer: 8700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -1\/42, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 57*v**2 + v + 885?\nAnswer: 114*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 440, -5, -4, -104, -2 in increasing order.\nAnswer: -104, -5, -4, -3, -2, 440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - 12*o**2 + 4*o**2 + 86 + 13*o**2 - 86 + (-5 + 2 + 1)*(0*o**2 + o**2 - 2*o**2) + 5*o**2 - 3*o**2 + 4*o**2)*(0*o + 5*o - 4*o).\nAnswer: 14*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a gram in milligrams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.42004 kilograms?\nAnswer: 420040000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 12:39 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1402915060 to the power of 1\/2, to the nearest integer?\nAnswer: 37456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**2 - 3 + 0*g**2 - 1 - g**2 to the form l*g**2 + n*g + f and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*b + 33 = 45 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1946424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, s: 7}. Give prob of sequence svss.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/66312 and 47\/71712?\nAnswer: 22015584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*a - 114 = 23*a. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/14, -4, 2, -1?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -60*u - 248. Let l(n) = 239*n + 989. Let k(g) = -2*l(g) - 9*p(g). What is the units digit of k(18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(-7) - 12\/(-42). Let b be q - ((-12)\/3)\/2. Suppose 196 = 4*g + 2*t - 6*t, -2*g + 73 = b*t. Calculate the highest common divisor of g and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 9:18 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 82576097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 771*j - 762*j = 11862. Is j a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 25*m**2 + 130*m + 4035. What is a(-23)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12141671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23)\/((-92)\/(-24))*1978\/129?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a tonne in kilograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -3*f**2 + 418380*f + 8368800 = 0.\nAnswer: -20, 139480","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -93 - -194. What are the prime factors of c?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 281860 and 8290.\nAnswer: 281860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 343, 545, 891, 1387, 2039, 2853?\n\"Answer: k**3 + 66*k**2 - 3*k + 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -19. Let n = -16 - -25. Suppose -n = -d + 3. What is the smallest common multiple of r and d?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34 + 57 + 284 + 410*g wrt g.\nAnswer: 410","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*-6 - 30*41\/(-82). Factor 0 + l*d**4 - 18\/5*d**2 + 0*d + 39\/5*d**3.\nAnswer: 3*d**2*(d + 3)*(5*d - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 775 + -762. Suppose -61 = -d*a - 35. Factor -4\/5*o + 1\/5*o**a + 3\/5.\nAnswer: (o - 3)*(o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54347 at most as big as 66?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = n + 10, 28 = 3*r - 2*n. Suppose -32 = -3*o + 4*y, -2*y + 0 = o + r. What is the units digit of 20840\/280 - (-3)\/(21\/o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - g = g - 3, -220 = -13*v - g - 181 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 99*d - 94*d + 50 = 0, -15 = -q + 4*d for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22769568*-0.2.\nAnswer: 4553913.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y - 26 = d, 11*d = 13*d - y for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34069, 34065, 34061, 34057, 34053?\nAnswer: 34049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3122406.\nAnswer: 2, 3, 7, 24781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 20, 0.21, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3.29 * 0.08718\nAnswer: 0.2868222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33 by 18.\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 252 + -264 + (-286)\/(-24).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 + -0.3. Let q = -1627 + 1623. Let n = -0.017 - -3.017. Which is the second smallest value? (a) z (b) q (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45.2 - 3.8. Let d = -29 - y. Let i = -16.6 + d. What is i rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a kilogram in grams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3907848 divided by -147\nAnswer: 26584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-144)\/(-10)*20\/6 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55829016?\nAnswer: 2, 3, 31, 25013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 2*u - 13, -5*u + 22 = -0*y - 3*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4388 + (0 + 6)\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176287009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*v = j - 17*v, 3*v = -j + 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2617213755 to the power of 1\/6, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oqos when four letters picked without replacement from {z: 1, s: 9, q: 1, o: 5}.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 13*j**3 - j. Let b be z(1). Let l be 12\/105*(-14)\/b. Let r = 5 - 3. Put r, 0.5, l in increasing order.\nAnswer: l, 0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.1 in 37, -0.1, 1\/8, -1\/4, 18?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 8:02 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xix when three letters picked without replacement from {x: 2, i: 6, u: 2, a: 1, e: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 10 + 64. What is the remainder when 51 is divided by a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178662217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -454979, -455030, -455081?\n\"Answer: -51*z - 454928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 - 5)*(-3*c - c + 5*c) + c + 0*c + 0*c + 52 - 31*c - 52 + 1 + c - 1 in the form h + v*c and give v.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -5*d**2 + 3*d + 1. Give n(-2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5186, 10263, 15340, 20417, 25494, 30571?\nAnswer: 35648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2630368269?\nAnswer: 3, 199, 489553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1169 + 50*n**2 + 2333 - 1164 - 167*n**4 wrt n.\nAnswer: -4008*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18585\/(-10325)*5*1\/(-21)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -38? (a) -60 (b) 2\/1201 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -210476880194 and -0.2?\nAnswer: 210476880193.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138440.\nAnswer: 2, 5, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2*sqrt(84) + sqrt(84)) + 2*(sqrt(84) + (sqrt(84)*2 - sqrt(84) - sqrt(84))))\/((sqrt(12) - (sqrt(540)\/sqrt(5) - sqrt(12)))*-4).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j**2 - j - 1. What is the remainder when x(-4) is divided by (-1)\/((-4)\/(-42))*1392\/(-812)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1996.373 + -1597.9. Let p = r - 404.6. Let y = p + -0.073. Round y to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 55*n**5 + 196568*n**4 - 7148*n**3 = 0.\nAnswer: -3574, 0, 2\/55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63575 is divided by 448.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and -3442.\nAnswer: -3447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30.684 - 29.684. Is m smaller than 0.12329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3 + 576*x**2 - 22660*x - 23232.\nAnswer: 4*(x - 33)*(x + 1)*(x + 176)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 311701 + 11?\nAnswer: 311712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**3\/3 + 1819793*v**2 - 2274743*v + 1364846\/3 = 0 for v.\nAnswer: -1364846, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/11 (b) -0.36 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3235928*i + 1614832?\nAnswer: -3235928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 8 = -4*n, -4*n = p - n - 5. Solve p*b + 0 = 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gfyfgyggggfg. Give prob of sequence gy.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 49.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 917 - 609. Let z be l\/30 + -5*(-6)\/(-45). Suppose -16\/5*u**3 - 64\/5*u + z*u**2 + 2\/5*u**4 + 32\/5 = 0. What is u?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1192584.\nAnswer: 2, 3, 17, 37, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21 + 28*i**3 - 28 - 29 wrt i?\nAnswer: 84*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.746 rounded to 1 decimal place?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -82? (a) -13 (b) 0.3 (c) -0.4 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -m**4\/24 - 5*m**3\/6 + m**2. Suppose -12*h - 2 = -7*h + 2*c, c = 3*h - 1. Determine s(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 2*v**2 + 10*v + 5. Suppose 0*b = -2*b + 10. Let n be u(b). Let q be (45\/n)\/(3\/22). Which is smaller: -2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 13577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23739\/16 - 1488. What is the common denominator of ((-46)\/3)\/(44\/9) and t?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q - 2. Suppose -117*r + 12 = -119*r. Let u(w) = w + 1. What is r*g(f) - 13*u(f)?\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (594 + 125*t**2 - 594)*(11*t + 20 - 20).\nAnswer: 1375*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 5*g, g - 7 = -2*d + 7. Suppose -d*f - 4*l = 1 - 2, -4*f - 5*l = 1. Let j(v) = -20*v**2 + 3*v - 4*v - 5*v + 7*v - f. Give j(1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -16 (b) 0.29 (c) 0.3 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -a + w + 22, -w = -3*a + 34. Calculate the common denominator of ((-34)\/4)\/(a\/36) and -34\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*k = 5*f - 11, 3*k + 27 = 5*f. Is 11 a factor of 3\/((-3)\/(-57)*f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 67392 and 304?\nAnswer: 1280448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 5:17 AM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-5905)\/2)\/((-1897)\/(-84) - 23).\nAnswer: 2, 3, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 - (21 + 71) - -94?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -24*n - 3. Let g be m(-2). Suppose 0 = c - 50 + 48. Let q be c*(-3)\/g*-6. Is 0 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 5*f - 30, n - 7142*f = -7146*f - 23. Factor w**2 - 1\/2*w**4 - w - 1\/4*w**n + 3\/4*w**3 + 0.\nAnswer: -w*(w - 1)**2*(w + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) 22 (b) -3\/28 (c) -1.7 (d) 0.2 (e) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5939 is divided by 121?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 3*q = -128437 + 128438, -4*h + q + 1 = 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = m + 54. Let x = -54 - -52. Let a(k) = 23*k**2 + 2*k + 2. Let l be a(x). What is the highest common divisor of m and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(6\/13)*u**24 assuming u is positive.\nAnswer: u**(318\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44 + 1 + 5)*(-y**2 + 5*y**2 - y**2).\nAnswer: 150*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12995 divided by -13.\nAnswer: -12995\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -6 + -4 - 1) + 15 + -24?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand n - 2 + 2 + (3*n - 1 + 1)*(-4 + 0 + 2) - n + 3*n + n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -22*u + 474. Give n(22).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -81880869\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1524819, 5, 147 in descending order.\nAnswer: 147, 5, -1524819","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2. Let i(w) = -22*w - 12. Let y(r) = 9*r + 5. Let n(l) = 5*i(l) + 12*y(l). Calculate u(n(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3163608013 to the nearest integer?\nAnswer: 56246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 42812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -87*t + 103*t + 80 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 288*n**3 + 81*n**3 + 212*n**3 + n - n**3 - n + (4*n + 2*n**3 - 4*n)*(-3 - 2 + 3) to the form h*n**2 + q + f*n + k*n**3 and give k.\nAnswer: 576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12\/1097 + 14225\/3291. What is the closest to -4 in 0.1, -0.2, -4\/9, g?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36 - 109\/3. Is -1 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 12:29 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -402*n + 1092*n - 504*n - 4*n + 3*n + 7*n + (1 + 1 - 4)*(0*n + n + n).\nAnswer: 188*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*l + 12 = 0, -5*l + 15 = -3*v - 7. Solve 3 = 2*o + v for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 45\/(-75) - (-2)\/(-5). Let o = -8\/3 - -415\/156. Let s = -25\/156 - o. Which is the second biggest value? (a) s (b) 0.5 (c) 0.2 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-1)\/2)*(-10)\/(-4)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/14 and 0 + ((-1)\/(-2))\/(14\/162)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 > -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13207958 or -13207964?\nAnswer: -13207958","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -76, 0.2, 2, -41\/4, -0.07?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59401717 is divided by 11880342?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*v = -0 - 6, 27 = 4*x - 5*v. Let s = 16 - x. What is the highest common divisor of s and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18.3 + -3.3. Let n = k - 15.24. Let u = -0.239912 - n. Round u to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -8 + 13 + -4 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i**3 - 2*i**3 - i**3 + (-i**2 + 3*i**2 - i**2)*(0*i + i + i) + 3*i - 3*i - i**3 - 71309 + 71310 + 24*i**3 + 0*i**3.\nAnswer: 27*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sgbngn. Give prob of sequence gbsg.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 12 = -3*l. Let y be 2 - l - (5\/2)\/(-1). Let v = 3\/41 - -29\/164. Is v less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -2*c - 10*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wjnnjw. Give prob of picking 1 w and 1 n.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.012936 and 96.5.\nAnswer: 96.487064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3*n + 5 = n, -k + n = -1. What is the third smallest value in 2, 1\/2, k, -2\/17?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 11293, 11291, 11289?\n\"Answer: -2*x + 11295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 173399?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12158579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 19*z - 13. What is j(14)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, q: 1, z: 2, y: 3}. What is prob of picking 1 q and 2 y?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 12, 2*h + 17 = -5*v - 16. Let r = -11 - h. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 14 = 4*z, 2*k = -4*z - 5 + 25. Suppose z*m = -m + 1315. Suppose -2*j + 159 = c, -3*c + 3*j + 223 + m = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 88\/4*15\/(-18). Let u = -19 - x. Sort 0.2, 0.8, u in descending order.\nAnswer: 0.8, 0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2595057*g*q**2*w**3 + 5*g*q**2 + 11*q**2*w**3 - q*w**3 + 265483*w with respect to g.\nAnswer: 2595057*q**2*w**3 + 5*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6706*-7.727.\nAnswer: -51817.262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10313 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: Rearrange (0 + 0 - 2)*(10*f - 1 + 4*f + 2) + 5*f + 0*f + f + (-2 - 1 + 2)*(-f - 3*f + f) to r*f + p and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5548509*a**5 + 23254719*a**2 wrt a?\nAnswer: 332910540*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1511444217 less than 0.246?\nAnswer: 1511444217.246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -238 + 234. Let m(h) = 5*h - 3. Let d(u) = 20*u - 13. What is l*d(k) + 18*m(k)?\nAnswer: 10*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2514*f**2 - 1300*f**2 - 1214*f**2 - 8*f**3.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 25 = -15. Let g be -1 + (12\/4 - l) - 0. Solve -2*u = -g*t + 2, 0 = 5*u - t - 2*t - 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14880011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-4)*(1927\/(-141) + 29)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -149127 by 49709.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 146334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*x - 17*x + 5*x**3 - 10*x + 38*x**3.\nAnswer: 43*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2848 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -205*m**2 + 186*m - 3. Let k(n) = 1844*n**2 - 1676*n + 28. Let f(q) = -3*k(q) - 28*x(q). What is the second derivative of f(j) wrt j?\nAnswer: 416","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 452043?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of -5*t**7\/21 - 17*t**3\/6 + t. Find the second derivative of j(y) wrt y.\nAnswer: -200*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*z + 22*z = -660 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 7 = -t - u, 4*t + u - 47 = 0. Let m = -1846\/3 + 627. Which is bigger: m or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**5\/4 - 4691*n**4\/4 - 28109*n**3\/4 + 4715*n**2\/4 + 70275*n\/2 = 0. What is n?\nAnswer: -4685, -5, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k + 3*k**3 + k**3 + k + 4 - 5*k**3 to the form w + n*k**3 + g*k + i*k**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -5*l**2. Let a(u) = -19*u + 42*u - 17*u - 11*u. What is t(a(y))?\nAnswer: -125*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 174024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q**3 - 2 + 2*q**3 + 0*q**3.\nAnswer: -3*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -113*q**6 + 4*q**5 + 605*q**2?\nAnswer: -13560*q**3 + 240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -98056 and -0.078.\nAnswer: 7648.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -18142, -35838, -53104, -69940, -86346, -102322, -117868?\n\"Answer: 215*p**2 - 18341*p - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 707*k + 704. Give i(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -y + b, -2*y + 5*y = 4*b + 263. Calculate the remainder when y is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5602216169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1143 divide 13541121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8880945*w**3 + 31*w**2 - 11*w + 109429 wrt w?\nAnswer: -53285670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + t + 1. Let x(h) = 3*h**2 + 2. Let q be (-1 + 0)\/(4 + -3). What is q*x(o) + 2*f(o)?\nAnswer: -o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 - -45. Let d be 1\/2*2 + f. Solve -5*l = 7 + d for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*s**2*t + 139*s**2 + 704*s*t + 4*s + 4 wrt t?\nAnswer: 4*s**2 + 704*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41651 (base 12) to base 2.\nAnswer: -10100111001011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -7*k**4 + 19*k**3 - 27*k**2 + 19*k - 7. Let o(g) = -76*g**4 + 208*g**3 - 296*g**2 + 208*g - 76. Let d(f) = 32*j(f) - 3*o(f). Let d(r) = 0. What is r?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 398564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 11, 2\/401, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 3 - 4)*(0 - 3 + 2) + 1 - 1 - 2 + (-3 - 1 + 5)*(0 + 0 - 1))*(5*s**4 - 16*s**4 - 26*s**4) to z*s**3 + u + a*s**4 + m*s**2 + b*s and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 106\/3 - 36. Let s = -17 - -16.74. Let u = 0.04 - s. Is u >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 21 = -2*p + 11, 1 = p - n. Let k(h) = h + 6. Let f(b) = b + 6. Let l(c) = -4*f(c) + 5*k(c). Determine l(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 22\/4 - (-6)\/(-4). Suppose q*x - 6 - 70 = 0. List the prime factors of x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 11 = 2*l - 26, 0 = 3*b + 23 - 14 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/6*20*6\/210. Suppose -c + 4*a = -12, -4*c - 8*a = -3*a + 15. Is c smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221511243 (base 7) to base 10.\nAnswer: 13381245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 15*d**2 - 19*d - 10. Let b be f(-17). Let t = b - -706. What is the common denominator of t\/(-36) + (2 - 2) and -97\/22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/18 and (-158)\/28 - 48\/112.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117330538.\nAnswer: 2, 13, 4512713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55 - 34. Let f be (-1)\/((-2)\/(-20)*2). Let j = f + 8. What is the highest common divisor of j and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2968078181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120 + 2111221101121211?\nAnswer: 2111221101121021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*f + 12 - 76 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 160 + -162. What is the nearest to 1 in 1, 11, j, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.5 - -5.5. Let j = 5 - w. Let s = j + 1. Which is the biggest value? (a) s (b) 2\/3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212934707?\nAnswer: 17, 379, 33049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*x\/x**(18\/11)*x)\/x)**(-44))**(7\/5) assuming x is positive.\nAnswer: x**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 620598491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -49 - -14. Let o = 37 + a. Let v be (80\/50)\/(o\/(-5)). Put 0, v, 0.2, -2 in descending order.\nAnswer: 0.2, 0, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of 10\/3*h**3 + 1\/30*h**5 - 31\/24*h**4 + 0 - 9*h**2 + 0*h. Let x be a(15). Solve 0*k - 5*k = -x for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -26 - 257*j - 266*j + 777*j - 262*j. Let s = -18 - 1. What are the prime factors of d(s)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 5, 2\/11, -1\/7, 0.3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/38756 and 49\/96890.\nAnswer: 193780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 241013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81909038 and 418?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 10 = 2. Calculate the smallest common multiple of (33\/4)\/((-3)\/p) and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 y when three letters picked without replacement from {y: 2, b: 3, d: 2, m: 4, t: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 33*f - 668. What is the units digit of s(31)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c**2 + 18*c + 21. Let j(t) = t + 1. Let d(w) = -12*j(w) + l(w). Suppose d(k) = 0. Calculate k.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nx when two letters picked without replacement from {x: 2, a: 1, n: 2, e: 1, h: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1636985 (base 12) in base 10?\nAnswer: 4552949","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2274.\nAnswer: 2, 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17850 = 10*d - 19418 - 22542. List the prime factors of d.\nAnswer: 5981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26\/(936\/(-54)))\/((-6)\/8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -80 + 119 + 29 - 77.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + a**2)*(0*a**2 - 4*a**2 + 3*a**2) + 2*a**3 - 2*a**4 - 2*a**3 - 4*a**4 - 3*a**2 + 4050 - 4050 as n*a**2 + l + f*a**3 + g*a**4 + w*a and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206*h + 207*h - 10 = 5*s, 3*s = -4*h + 86 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 9:26 PM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + (-4)\/(20\/(-15)). Suppose u - 4*y - 11 = h, -5*u - 2*y - 2*y + 7 = 0. Solve v + f = 0, v - 2*f + 24 = u*f for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2669*o + 112 = 2685*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 669 - 655 = 7*l. Let c(p) = -362*p**2 + 94*p**l + 88*p**2 + 90*p**2 - p**3 + 93*p**2 - 4*p. Calculate c(4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 + -10. Suppose p - 27 - o = 0. Suppose -4*u = -p - 36. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/35 (b) 6\/13 (c) 0.027\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1631 - -1630. Put -5, y, -9, 0 in increasing order.\nAnswer: -9, -5, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/128 + 0*(56\/20 - 3)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1507196 a multiple of 527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m + 0*m + 0*m + m - 2*m - m + (-1 + m + 1)*(-1 - 3 + 2) + 3*m + m - 3 - 3*m.\nAnswer: -6*m - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6552 = y - 5*y. Let h = y + 3029. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-44)\/(-8)*4\/(-4) - (-2 - 3). Let k = -0.8 - 0.2. What is the nearest to k in b, 35, -5, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -h + 8. Suppose -2*l + 25 = j - 74, -h*l = 2*j - 96. Let v = l + -207\/4. Which is the second biggest value? (a) -2 (b) v (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of 7*d**4\/24 - 2*d**3\/3 + 2*d**2 - 9. Let v(n) be the second derivative of q(n). Differentiate v(m) wrt m.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 3*w**2 + w + 5. Let o be v(4). Suppose 6*j = j + o. Solve 1 = -j*t - 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -11944504?\nAnswer: 35833512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 46044 and 4533.\nAnswer: 69572484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 163.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -5*x + 3*x. Let i be 528\/52 - 2\/13. Let z = x + i. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*x - 20 + 10. Let u be 0 - -1*(0 + 1). Is x < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0516327092914 + 0.083?\nAnswer: 0.1346327092914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -27 (b) -0.008 (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.35 + 0.05. Let m = 2.3 + z. Which is the nearest to -2\/3? (a) 4\/7 (b) 0.5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 + -23. Solve -2*q + g = -5*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 11*n**2 - 12*n + 4. Suppose -5*y = -28 + 88. Let i be f(y). Suppose 19 = 4*v - d - i, -4*d - 17 = -v. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3707*r - 181665. Determine m(-49).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -262*o**7\/7 + 119*o**3 - o**2\/2 - 167*o + 2. What is the second derivative of n(t) wrt t?\nAnswer: -31440*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p + p**4 + 4*p + (6*p**2 - p**2 - 4*p**2)*(2*p**2 + p - p) + 3*p - 3*p - p**4 - 15*p**4 - 89*p**4 - 36*p**4.\nAnswer: -138*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 10*o = 70. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 23496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 3*d + 14 = 0, -12 = -4*r + 4*d - 2*d for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 6 + 2)*(-4*y - 7 + 8*y - 2*y)*(y + 2 + 0*y + 0).\nAnswer: -10*y**2 + 15*y + 70","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002139628 rounded to six dps?\nAnswer: -0.000214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1\/(1 - 12\/16) and 11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 h, and 1 x when three letters picked without replacement from heemrmedrmxhdhrhmmmr?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 4226\/11727?\nAnswer: 4226\/11727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14143 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 - 6320*x - 366464.\nAnswer: 4*(x - 1636)*(x + 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-12))\/(65\/((-2730)\/294))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*s + 3*y - 10 = -17*s, 0 = s - y + 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*g + 7. Suppose f - 4*w - 87 = -2*w, 2*f - 160 = -g*w. Suppose -543 = -10*i - f. What are the prime factors of i?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 4. Let c = l + -9. Let x be (-3)\/c - 2\/4. Is x <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 6*v - 60. Is 2 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*l + 49*l - 22*l - 2*l**3 to the form o*l**2 + h*l**3 + x + d*l and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -237 by -1.\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 13*w - 16. Let x be z(-11). Suppose x*j - j = 80. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*s - 2. Let b be (27\/18)\/((-2)\/s). Is (1268\/8)\/(b\/(-6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*j**5 + 4*j**2 - 239*j wrt j.\nAnswer: 80*j**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -1, 2, -54359, 28 in descending order.\nAnswer: 28, 5, 2, -1, -5, -54359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -3*u**4\/20 - 1436*u**3\/5 - 773286*u**2\/5 - 3925. Let t(a) = 0. Calculate a.\nAnswer: -718, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*k - 67 = -24, 169 = -3*l + 2*k. Suppose 5*w = -52 - 88. Let b = w - l. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21*i**2*j*q**3 + 16*i**2*j*q - j*q**3 + j*q - 2*j wrt i?\nAnswer: -42*i*j*q**3 + 32*i*j*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24662424 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.7109 - 0.2109. Let s = -7 + 6.7. Let l be 2 + (-2)\/3 + -2. Which is the second biggest value? (a) l (b) 2\/15 (c) r (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -94 + 115. Let i(t) = -19 - 17 - 3*t - z + 54. Suppose 0 = -0*w + 5*w + 25. What is i(w)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 2*l + 82607, 4*b - 37*l = -33*l + 110096. Does 63 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1963, -3926, -5889, -7852, -9815?\n\"Answer: -1963*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/13)*s**(-5))\/(s\/(s**(-1)\/s)*s\/s**(1\/8)) assuming s is positive.\nAnswer: s**(-907\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 4*u - 248 + 274 = 0, 5*t - u = -32 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 - -451. What are the prime factors of p?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1023983723.\nAnswer: 7, 31, 674117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 4. Suppose -s*x = -2*x - 42. Let w = -4 - -7. Solve -5*b - x = 2*d, 5*d - 9 = b + w*d for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7814650, 15629316, 23443982, 31258648, 39073314?\n\"Answer: 7814666*u - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2040371798+-0.02223\nAnswer: 2040371797.97777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -2 - (7 + 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eyefeye. What is prob of sequence eyyf?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p + 40*p - 5575 = 225. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 2*h**2 + 3*h - 2. Let a(r) be the third derivative of -r**6\/60 - r**5\/15 - 5*r**4\/24 + r**3\/2 + 4*r**2 - 22. Calculate -3*a(g) - 5*j(g).\nAnswer: g**3 + 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 2, 0, 2\/5, -171.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 3 - 4*d + 5*d + 8.\nAnswer: d + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 490 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 369, 380, 403, 444, 509, 604?\n\"Answer: m**3 + 4*m + 364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2961 + 50335\/17. Which is the fourth biggest value? (a) 353 (b) h (c) -1 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15099*d = -15093*d + 4*t + 14, d - 5*t = 9 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3 - 3*o + 1 + 5*o. Let w = 103 - 34. What is the remainder when w is divided by t(10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 957391 is divided by 32?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/27 and -91\/4404?\nAnswer: 39636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 52436385 a multiple of 2302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -15*v**2 - 15*v + 25. Let d be n(4). Let c = 334 + d. What is the remainder when 104 is divided by c?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 11\/4 - (-6)\/24. Solve f = -0*f - z for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 144, 243, 342, 441, 540, 639?\nAnswer: 738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2000002 - -21?\nAnswer: -1222211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/((f\/f**(7\/4))\/f))\/(f*(f**(-1\/27)\/f)\/f) assuming f is positive.\nAnswer: f**(517\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -24*b - 195. Let y(w) = 3*w. Let j(d) = 3*x(d) - 9*y(d). Determine j(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13947 is divided by 186?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 3*w - 2*o, 72*o - 69*o - 18 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 179.9, 3.5, -4, -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + j = -4, -5*j + 1 = -9. Suppose -5*n = 4*v - 10, l*n + 4*v = 3*n - 2. Suppose -n*r + 14 = 2*f, -5*f + 22 = 4*r - 8. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8*3\/21)\/(5250\/1225)?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1449238?\nAnswer: 2, 7, 61, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4 = -5. Suppose -3*a + k*d + 252 = -d, d = 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 j = 3 + -7. Sort j, 1\/3, 0, -1\/5 in decreasing order.\nAnswer: 1\/3, 0, -1\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or 0.9?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 o when three letters picked without replacement from oorr.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 5 + 16*k - 14 - k**2 + k + 0. What is the units digit of p(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrt when three letters picked without replacement from nkkjjqtqrnkkrk?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v. Let l = 1 + 4. Let p(g) = -g. Suppose 10*f + 3*f = 21*f + 168. Give f*p(s) + l*h(s).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -4*k**2 - 35*k + 39. Let q(z) = 3*z**2 + 36*z - 39. Let i(x) = 2*m(x) + 3*q(x). Factor i(v).\nAnswer: (v - 1)*(v + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 - 1a?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/13813751 and 101\/868448?\nAnswer: 442040032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) -1\/9 (c) 2 (d) 4 (e) -0.3 (f) 0.5 (g) -2\/961\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*f - 5 = 15, 0 = l - 4*f + 16. Suppose l = 5*o + 3*p - 33, -o + 3*p + 11 = -10. Is o a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -s. Suppose -2*w + 61 + 35 = s. Calculate the highest common factor of w and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3735.\nAnswer: 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 4*g - 28, g = 334*u - 337*u + 7 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-114 + -3)*4\/(-3558). Let j = r - 79805\/7116. Calculate the common denominator of j and 45\/34.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-3*(sqrt(14)\/sqrt(7))**2 - (sqrt(162) + -3)) + (-2 + (sqrt(2)*1 - sqrt(2)) + sqrt(2) + sqrt(450) + 4)**2).\nAnswer: -2565 - 275*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-6*(sqrt(11) + 0)*-5*3)**2.\nAnswer: 1425600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -610 = 3*i - 4*g, 0 = -g - 5. Round i to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 311 = 7*s + 45. What is the highest common factor of s and 608?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51008573?\nAnswer: 7, 11, 662449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 194\/7 - (-4)\/14 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 615 divided by 3.\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 7*a - 333. Suppose -6 = -a*g + 55*g. What is the units digit of ((-22)\/(-33))\/(-4*g\/852)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -260203.\nAnswer: 260203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 13 (b) 641 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 200187, 404488, 608799, 813126, 1017475, 1221852, 1426263?\n\"Answer: h**3 - h**2 + 204297*h - 4110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-62400)\/76800*8\/(-130)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.378? (a) -187 (b) 2\/7 (c) -0.1324\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -2*f**5\/5 + 11*f**4\/4 - 3*f**3 - 3*f**2\/2 + f - 2. Let b(j) = j**4 - j**2 + j + 1. Let c(z) = a(z) - b(z). Solve c(d) = 0.\nAnswer: -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*d = 155, -10 = h - 2*d - 70. Let q(b) = 37*b + 32*b - h*b. Let z(i) = -i**2. Give z(q(y)).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/1248722 and -89\/10.\nAnswer: 6243610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -7*i + 24 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + (0 - -1) + 0. Suppose 3*k - 4*x - 38 = 0, k = -2*x + f + 11. What is the remainder when 55 is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o = -9*o. Solve 2*i = 5*v + 30, 4*v - i = -o*i - 21 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6081, -12489, -18895, -25299?\n\"Answer: t**2 - 6411*t + 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-6) + 1*(-14)\/(-12).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -4 (b) 612 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*b*t**6 + 4770*b*t**5 - 244*b*t**2 - 4*b*t + b wrt t.\nAnswer: 1320*b*t**3 + 286200*b*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*o - 152*o - 208*o.\nAnswer: -295*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -120 divided by 4947218\nAnswer: -60\/2473609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -240 - 334. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -n**6\/720 + 49*n**4\/24 - 42*n**2. Let q(a) be the second derivative of l(a). Let c(k) = 6*k**2 + 4. Calculate c(q(s)).\nAnswer: 6*s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 10*s + 1. Let w be c(-7). Let u = w - 14. Calculate the greatest common factor of 16 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112934518 is divided by 218442.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 2*y. Let x(p) = 30*p**3 + 240*p**2 + 2830*p. Let t(k) = -25*i(k) - x(k). Factor t(w).\nAnswer: -5*w*(w + 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -216*v**2 - 142*v**3 + 6*v**5 + 34*v**3 + 7251*v**4 - 2*v**5 - 7251*v**4 = 0. Calculate v.\nAnswer: -3, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-2) + (-5)\/(-2). Let i = 11 - o. Solve -i = 5*g + 13 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(31\/2))**(-20)*((a*a**(9\/7)\/a)\/a)\/a**12)**(-4\/3) assuming a is positive.\nAnswer: a**(9008\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -8 + 2 + 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(4\/5)*x*x\/(x**(-6)*x)*x*x*(x*x**(-4\/3))\/(x**0*x)*((x*x**5)\/((x\/x**(-7))\/x*x))**(-2\/19) assuming x is positive.\nAnswer: x**(2473\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 42185 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 541109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 80285 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000470474 rounded to seven dps?\nAnswer: -0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 c when four letters picked without replacement from ucoduyuccooooo?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 86514 and 3979644.\nAnswer: 3979644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a - 6. Let g(o) be the third derivative of o**4\/24 - 7*o**3\/6 - 2*o**2. Let y(r) = 5*g(r) - 6*w(r). Determine y(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 23 = 2*r, 0 = r - 3*i + 21 + 1. Let y be (-2)\/8 + r\/(-4). Factor -6*s - 4*s - 3*s**2 + s + 3 - y*s**3 + 12*s**3.\nAnswer: 3*(s - 1)*(s + 1)*(3*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 2*n**2 + 3*n - 1. Let x be z(-4). Let f = 204 + x. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -18. Sort 5, x, 3, 2.\nAnswer: x, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**3 + 26*a**3 + 3*a**3.\nAnswer: 32*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2128938 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 91.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 444 is divided by 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 3*s + 0*s)*(-2 + 0 - 1) + 0*s + 4*s - 2*s.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**2 + 3. What is g(3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -7, 7, 8, -2\/3, 15?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 take away -174063?\nAnswer: 174042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 5*f**2 - 14*f - 31. Calculate y(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 3 - 19*b**2 + 2*b + 3*b + 5*b**2 - 19*b. Let q be x(15). Calculate the highest common factor of 144 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2080, -2077, -2062, -2029, -1972, -1885, -1762, -1597?\nAnswer: -1384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 246404 = -4*g - 2*r, -3*g + 184794 = 3*r. What is g rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/n**(-1\/4))**12)**(1\/40) assuming n is positive.\nAnswer: n**(27\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/47)\/(1*-1*3). Suppose b = -2*p - y + 2523, y = -5*p + 5*y + 6327. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 32 = -4*i. Let h = 110 - -171. Suppose -c - 261 = -h. Calculate the highest common factor of i and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 6063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (15\/(-160))\/(6\/(-379604)). Let w(x) = 1977*x + 2. Let s be w(-3). Let l = s + g. Calculate the common denominator of l and -13\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) - (6*sqrt(66)*1 + sqrt(66)))\/(sqrt(3) + (-2*sqrt(363) - sqrt(363)) + sqrt(3)))\/(2*(sqrt(1584)*-3 - sqrt(1584) - sqrt(11))*-1).\nAnswer: 3*sqrt(2)\/1519","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 5*u + 325 = 0, -3*l - 3*u = 2*u - 193. What is the greatest common factor of 6 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64\/112 + 2117\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7106, 28525, 64232, 114221, 178486, 257021, 349820, 456877?\n\"Answer: -c**3 + 7150*c**2 - 24*c - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 < -9\/355?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27209 and 5149424.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/25, -7173.3, -16 in descending order.\nAnswer: -2\/25, -16, -7173.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 17964\/7 + (-175)\/(-245). Calculate the greatest common factor of h and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 10:52 AM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5488 and 41?\nAnswer: 225008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + v - 127*v**2 - 5 + 127*v**2 - 2*v**3. Suppose -2*n = -5*n - 12. Let o be q(n). What is the greatest common divisor of 5 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5554.187 rounded to the nearest integer?\nAnswer: -5554","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.28 * 26.\nAnswer: -7.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)\/sqrt(20) + sqrt(252)*-2)\/(sqrt(36)\/(sqrt(48)\/(sqrt(36)\/sqrt(3)))).\nAnswer: -7*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 876 = -115*f + 178 + 2078 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3124*a**3*o - a**3 - 23*a**2*o - 2*a**2 + a*o + a + 120054 wrt a.\nAnswer: 18744*a*o - 6*a - 46*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 143520 to the power of 1\/2, to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9867, -9880, -9909, -9960, -10039, -10152?\n\"Answer: -k**3 - 2*k**2 - 9864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/8))**(11\/6)*(h**(6\/11)*h)**(-49) assuming h is positive.\nAnswer: h**(-39863\/528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 4 - 4)*(36 - 2*n - 36) - 5 - 4*n**2 + 5.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of 8*s**2 - 4*s - 3. Calculate the lowest common multiple of (-14)\/(-126) + 214\/18 and b(3).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4*u + 20 + 14 = 0, -5*u - 46 = -4*w. Let v = 4 + -2. What are the prime factors of (60\/14)\/(v\/w)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**3 + 0*n**3 - 4*n**3 + (54*n + 15*n - 8*n)*(55 + 6*n**2 - 55).\nAnswer: 365*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cvpfpunf. What is prob of picking 1 n, 1 c, 1 u, and 1 f?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -29 + 50 - -42 - -22\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 6*k**3 + 3*k**2 + 2*k + 2. Let i(t) = -7*t**3 - 4*t**2 - 3*t - 3. Give -4*b(r) - 3*i(r).\nAnswer: -3*r**3 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - (-26 + 29)) + 50.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4300 and 22152224.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-410)\/(-45) + 2\/(-18). What is the greatest common divisor of 117 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*o + 3139 = -39*o - k, 3*o - 139*k + 153 = -136*k for o.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 942*w - 469*w + 26 = 474*w for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*w**3 + 3014*w**2 + 17*w**3 - 3014*w**2.\nAnswer: -29*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 24 + 7)*(-5 - 1 - 10)*(20 - 84*f**3 + 87*f**3 - 4*f + 2*f) to s*f**3 + b*f + q + j*f**2 and give b.\nAnswer: 736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 97718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 f when two letters picked without replacement from {f: 4, h: 1, d: 1, l: 2, c: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 340 is divided by (6 + (-13)\/1)*-37.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 527.03, -0.08 in decreasing order.\nAnswer: 527.03, -0.08, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30681510 and 9990.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k**2\/3 - 27281*k\/3 + 2598 = 0 for k.\nAnswer: 2\/7, 3897","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-15)\/20)\/((-3)\/8). Suppose -3*o = -9 - 3. Suppose -5*w + 10 = b*f, -1 - 7 = -f - o*w. Let i(k) = k**2 + 7. Calculate i(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - -1) + (-5)\/4. Let x = -3934 + 3934.3. Let g = -2.2 + 0.2. Which is the second smallest value? (a) x (b) s (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + d**3 - 3228*d - 373*d**2 + 3189*d + 364*d**2 to the form n*d + l*d**3 + b*d**2 + w and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 6)*(-1 + 0 + 2)*(-45 + 4*h + 45).\nAnswer: -24*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.936 - -5.836. Which is the nearest to z? (a) 1 (b) -0.7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*r + 50 = 230 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13230 - -3002?\nAnswer: -10223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -39697, -39696, -39695, -39694?\n\"Answer: j - 39698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 4*c**2 + 3*c. Let a be h(2). Let b be 7 - (3 - 1 - a). Let k be -3 + (12\/1 - b). What is the highest common factor of 30 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -151\/2 + 66. Let p = 173\/4 + -653\/12. Calculate the common denominator of t and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8867.58986 rounded to the nearest 100?\nAnswer: -8900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iod when three letters picked without replacement from oocciddcjcodoiccici.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 2. Let n(v) = 6*v**2 + 13. Let s(a) = -39*k(a) + 6*n(a). Let c(g) = -g**2. What is c(s(p))?\nAnswer: -9*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-79.7.\nAnswer: -31.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4406.\nAnswer: 2, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j - 10. Suppose -10 = y - 3*y. What is r(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 534*f - 1744*f + 1064*f + 584*f.\nAnswer: 438*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 20, -17, 3 in increasing order.\nAnswer: -17, -4, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, c: 1, w: 1, v: 1}. What is prob of sequence vc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 10*h**2 + 11*h. Let g be w(8). Suppose 5*a - 5*n + 16 = -9, -a + 4*n - 8 = 0. Find the common denominator of 73\/10 and (-142)\/g + (-2 - a).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9338 and 91147?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 2:39 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 97531749*b**3*c - 2*b**2*c + 4*b**2 - 22*b*c + 5586*c wrt b.\nAnswer: 585190494*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2 + -4 + (-3540)\/(-20))\/1 is divided by 134.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 105*k - 345886 + 3691. Solve -k*h + 35 = -3252*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26094409 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**2 + 13*l + 70 - 35 - 35 in the form f*l**2 + i*l + r and give i.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -617, 219, 1055, 1891, 2727, 3563?\n\"Answer: 836*w - 1453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 c when two letters picked without replacement from {w: 1, v: 7, c: 2, k: 1, x: 8}?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n = -386 + 421 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2378, -2394, -2412, -2432, -2454?\n\"Answer: -f**2 - 13*f - 2364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, c: 15}. Give prob of picking 2 a.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*a - 16*n + 20*n, 0 = 5*a - n - 18. Suppose 0*b - 2*b + 23 = d, a*d - 72 = -3*b. Solve 6*r - d = 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 - -30. Find the third derivative of -16*r**2 - 8*r**g - 727*r + 727*r wrt r.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01819764 rounded to 5 decimal places?\nAnswer: 0.0182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4*j = 5 - 7, 4*c - 12 = -2*j. What is the third derivative of 55*n + 4*n**c - 55*n - 7*n**2 - 83 + 2*n**2 + 148*n**4 wrt n?\nAnswer: 3552*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 47 and 137052.\nAnswer: 137052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 4*b**2 + 2*b + 3. Let o be j(3). Let p(d) = -d**3 + d**2 + 37. What are the prime factors of p(o)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*z - 9 = 61 + 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4273 divide 40926276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3285 and 3277773?\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 205.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8388.653 litres in millilitres?\nAnswer: 8388653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 - 132500?\nAnswer: -132513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 7*g**2 - 17*g + 1. What are the prime factors of l(9)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 22 = -i, 0 = -48*i + 47*i - 4*v + 18 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2604?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 divided by 66.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 276*c**2 + 1122*c - 10. Calculate f(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of 3\/2*v**2 - 62 + v - v**3. Let s(l) = -l**2. Give z(s(a)).\nAnswer: 6*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 114 = 6*q, 710*p - 165 = -9*q + 714*p for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -2*i + 1924 - 1919, -17*g + 4*i - 85 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.9 times -25973?\nAnswer: -309078.7","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 31*v**2 - 29*v - 33. Let n be o(30). Let b(m) = -m**3 - 4*m**2 - 7*m + 3. Calculate the smallest common multiple of 6 and b(n).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**3*v**6*((v**0\/v)\/v)**(-1\/2))**(-25) assuming v is positive.\nAnswer: v**(-250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -212.022 - -214.8. Let s = -0.222 - q. What is the second smallest value in 6, s, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 14*d. Let c = -52 - -54. Suppose 5*l - 10 = -0*l, a + c*l = 11. Let j(x) = x + 6*x - a*x - 3*x. Determine j(o(g)).\nAnswer: -42*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - 3)\/((-2)\/(-8)). Find the first derivative of -1 + 6*m**n - 2*m**4 + 0 - 2*m**4 wrt m.\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 397 + -397.4. Suppose 0 = 5*b - m - 26, 19 = -4*b + 8*b + m. Suppose 18 = b*t - 7. What is the second biggest value in q, 1, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81560 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -35 (b) -5 (c) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5052)\/(-20) + 10\/25. Suppose 4*o + 21 = -4*a + w, -3*a = -o - 178. Let c = 26 + -6. What is the remainder when a is divided by c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f**3 + f**2 + 4*f + 4. Determine q(-4).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1836 or -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*j, -4*n - 68 = -38*j + 42*j for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = i - 12, -i = i. What is the remainder when 17 is divided by (6 - 4)\/((-1)\/l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 9*s. Let n(y) = -52489*y**2 - 4*y. Determine n(k(c)).\nAnswer: -4251609*c**2 - 36*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 418 and 17682654.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -4*g - 733349 + 36145, 0 = -5*g. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**2\/k**(-1\/8)*k**(-1\/3)*(k*k**(-1\/3))\/k*k**8\/(k*k**(-4))*(k*k*k*k**2)\/((((k\/(k\/k**(-5)))\/k)\/k)\/k*k) assuming k is positive.\nAnswer: k**(587\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 6278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -58 - -84. Let p be 355\/(-15) + 2\/(-6) + 1. Let i = l + p. Which is the second biggest value? (a) i (b) -1\/6 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-9))\/((-5)\/(-15)). Put -4, 4, r in decreasing order.\nAnswer: 4, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -5*c + 77, 3*c - 3*v = -2*c + 78. Suppose -30 = -c*w + 12*w. What is the highest common factor of w and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3388488.154 take away -50051?\nAnswer: 3438539.154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = r - 17, -81 - 15 = -4*r + 12*x. Let b(m) = -2 + m**3 - 6*m**2 + 3*m**2 - 2*m**2 + 7*m + m**2. Calculate b(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 72*v**5 - 876*v**4 + 1796*v**3 + 1212*v**2 - 1868*v - 336 = 0.\nAnswer: -1, -1\/6, 1, 3, 28\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*n - 2*w + 17, 5*w = -3*n + 22. Suppose -5*y - 50 = -2*f, -3*f - n*y + 13 = -16. Solve k + f = -2*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -20. What is the greatest common divisor of 5 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 205 - 108. Let s(v) = -93 + v**2 - v - 5*v - 15*v + d. Let h be s(21). Solve -4*o + 4 = 4*k, -h*k - 4 = -o + 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*k - 12 = -229 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 13, 547, 3, 17.\nAnswer: -5, 3, 13, 17, 547","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7890 = 210*x + 4630 - 9760. Solve -65*h + x*h = -24 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 481766805?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3478904*x + 1. Let n(l) = 14*l. Calculate n(w(y)).\nAnswer: -48704656*y + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 18 = 5*y - 2*u, 4*u = -28 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 2*h + 12. Which is smaller: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1430 and 544.1137265.\nAnswer: 1974.1137265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*n + 179*n - 201*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-15)*9\/2. Suppose 1 = j*l - 5. What is the tens digit of (-138)\/(-1)*(-1)\/(-3)*l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-3) - 11)\/(6\/4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)\/sqrt(8))\/sqrt(9) - ((sqrt(80) - sqrt(5)) + 1) - (sqrt(5) + (3*sqrt(125))**2 + -2 + sqrt(5) + 5).\nAnswer: -1129 - 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 120*v**3 + 85*v**3 + 4 - 2.\nAnswer: 205*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 32 - 8. Let b be (-35)\/(-3) - (-4)\/m. Suppose -2*j - 5*p = -22, 4*j - 4*p - b - 4 = 0. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 12 = 4*q - 4, -2*q = 3*o + 7. Let g = o + 7. Solve g*x = 5*x + 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l**2. Let p(c) = 3 + 0 + 9*c**2 + 5*c + 2 + 0*c. Let v(y) = -7*y**2 + 6*y - 3 - 12*y + 2*y**2 + 3*y. Let x(q) = 3*p(q) + 5*v(q). What is i(x(b))?\nAnswer: 12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-26)\/10 - (-2 + 0). Let x = 30 - 35. Let h be 2\/(-8) + 30\/(-8). Which is the nearest to -1? (a) x (b) r (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30173.58nm in meters?\nAnswer: 0.00003017358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of 0 + 0*q**3 + 1\/60*q**4 + 2*q**2 + 0*q - 1\/75*q**5. Suppose u(s) = 0. Calculate s.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7423301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of 6*w + 0 + 0*w**3 - 1\/6*w**4 + 3\/2*w**2. Let b(m) be the first derivative of x(m). Let c(j) = -2*j. Give b(c(i)).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/56 and -173\/588?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 565418.\nAnswer: 2, 7, 40387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21285818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 1. Let z = -148 + 309. Suppose j + y = 146, j - 3*y - y - z = o. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.14480576 to 4 dps.\nAnswer: 0.1448","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/4))**(-1\/28) assuming w is positive.\nAnswer: w**(1\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (1 - (15 - 9))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -12*i + 13*i. What is the smallest common multiple of -1 - -5 - i\/(-1) and 8 + (9\/(-27))\/((-1)\/9)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -3, 3, -2, 12.\nAnswer: -13, -3, -2, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 2*r - 5247 = 4*r - 4*h - 5323, 0 = -4*h - 96 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-5))\/((-16)\/10)*(-150)\/(-675)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 3*i**2 + 3*i - 1. Let j be a(-4). Let h(q) = -61*q - 106. Let d be h(-2). Solve z - d = -j*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*r = 14, 0 = -3*l + 3*r - 9 - 0. Suppose 23*b - 212 = -l*d + 27*b, -4*d = b - 406. What is the greatest common factor of 102 and d?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 c when two letters picked without replacement from hlccccccccgllhcl?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 6*o = 3*o - 12, 0 = 3*o + 12. Suppose i = -6*y - 33*y + 117. What is the least common multiple of 5 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/3 + 89*a**3\/3.\nAnswer: a**3*(a + 89)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -52*x + 53*x. Suppose -r = r - 128. What is the highest common divisor of r and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85264 is divided by 449.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -376000 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 932 + 927 - 1860 + 108*w**2 - 560*w**3 wrt w.\nAnswer: -3360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1170, 1021, 764, 393, -98, -715?\n\"Answer: -p**3 - 48*p**2 + 2*p + 1217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -41180 and -41179 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30 - 1) + 671 + -697.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/95?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1930 - 1932. Let p = 3.1 + -15.1. Let y = 11 + p. Sort y, g, -0.5, -18 in increasing order.\nAnswer: -18, g, y, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -5*z**3 - 29*z**2 - 3*z + 2. Determine i(-3).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -41 + -3 - (-73 + 58)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -15*n - 11. Let b(d) = 3*d + 2. Let l(f) = -33*b(f) - 6*c(f). Let q(u) = -4223*u + 8432*u - 4219*u. Give -5*l(x) + 4*q(x).\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -1, 2, 3.\nAnswer: -1, 2, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4449105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/16 of a millennium?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -50*m + 471. Calculate q(9).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-6)\/2)\/(-3 - -2) and 1\/(-3)*(-3 - 12).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 6 = -4*n, -r + 3 = r - n. Suppose 5*z + r*y = 65, 15 = -5*y + 2*y. Suppose 5*p + 224 = 13*p. Calculate the remainder when p is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 209 - 53. Suppose 2*z = -0*z + k. What is the greatest common divisor of 26 and z?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -74\/15 - -23\/5. Let c = -37\/232 - -1\/29. What is the closest to -0.3 in -0.3, a, c?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b**2 - 3*b - 2. Suppose 4*k = -13 - 3. Let n = k - -7. What is the remainder when w(n) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -p - 0*p + 4*c, 4*p - 5*c = 32. Does 13 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 293525 = -11379*k - 195772 for k.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6139166549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 6529 = -o, 4*o - 33016 = -v - 6968. Is 6 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 22*(-1 - 1\/(-2)). Let a(f) = 5*f - 2. Let w be a(-6). Let i be 16\/(-12) - -1 - w\/(-3). Is i at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02477038216 to six decimal places.\nAnswer: 0.02477","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ui when two letters picked without replacement from ruuiyiiyyuywyiuwrui.\nAnswer: 25\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1628?\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1142 a factor of 888415474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -141563, -283150, -424773, -566450, -708199?\nAnswer: -850038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2194109?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**2 + 8*v**2 + 2 + 3*v**2 - 228201379*v + 228201379*v - 4.\nAnswer: 11*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.61 (b) -2\/7 (c) 13 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14627*h + 281*h**2 - 15809*h - 280*h**2 to u*h**2 + z + y*h and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 264868*3.\nAnswer: 794604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4550, 4624, 4748, 4922, 5146, 5420?\nAnswer: 5744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -18168 divided by -3?\nAnswer: 6056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -650, -0.5, 14 in ascending order.\nAnswer: -650, -0.5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2966*b**2 + 165*b + 4. Let n be w(-36). Round n to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*r**3 - 11*r**2 - 601408*r + 2 + 601408*r.\nAnswer: 61*r**3 - 11*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b - 9. Let s be y(-10). Suppose 3*j - s = 7. Suppose -4*c + j*c = 5*k - 223, c - 39 = -k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -l + 2. What is the first derivative of 7 - 20*x**2 + 12 - 3*x**2 - l wrt x?\nAnswer: -46*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -352, -1382, -3090, -5470, -8516, -12222, -16582?\nAnswer: -21590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 9:03 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -856 = 9*o - 919 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 3, 0 = m - o + 5 - 1. Suppose 2*l - 21 = -3. Let i = l - m. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4\/3 - 1025638*z**3\/3.\nAnswer: z**3*(z - 1025638)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -9*r**4 + 2*r**3 - 2*r**2 + 26*r + 325. Let o(v) = -37*v**4 + 9*v**3 - 9*v**2 + 106*v + 1301. Let h(l) = 9*f(l) - 2*o(l). Differentiate h(i) wrt i.\nAnswer: -28*i**3 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-8))\/((-63)\/14)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 36*y - 31*y + 1 = 0, -40*y + 38*y + 23 = -3*x for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 7*r**2 + 49*r + 258. Calculate d(-8).\nAnswer: 314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56, 5, 3\/8, 4, 36 in decreasing order.\nAnswer: 56, 36, 5, 4, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 9:49 AM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 1912, 4 in ascending order.\nAnswer: 4, 20, 1912","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 25 + -29 + 0 + 1 + 0.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5728, 8760, 11792, 14824?\nAnswer: 17856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - -15 - (-13 - -18). Suppose -28 - 5 = -s*b. Suppose 2*n - 78 = -b*l + 2*l, 4*l = -2*n + 324. Does 41 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 55 + -53. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -0*g, 3654 = 5*s + 5*g - 3981. Calculate the remainder when s is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a litre in millilitres?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 90992844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1892 and 15092.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/12)\/o**(-1))**(8\/3) assuming o is positive.\nAnswer: o**(22\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 52 - 40. Let g(b) = 2 + 5*b + 0*b - 2*b. Give g(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141949154.\nAnswer: 2, 70974577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 191429 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**4 - 3*v**4 - 7*v**4 - 2 + 2 - 2*v**4 + (-2*v**4 - v**4 + 2*v**4)*(0 - 2 + 1).\nAnswer: -9*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*j - 59*j - 5135 = -25*j for j.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51 + -6. Is 29 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5 + (-5 + -1*sqrt(98))**2 + 5.\nAnswer: 70*sqrt(2) + 133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 4*v - 24, 6*v = v + c + 16. Suppose -u - 18 + 2 = -5*g, v*g = -2*u + 24. Let r(o) = -2 + 0*o - g*o - o**2 + 2*o. Calculate r(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1104 + 1103. Which is the fifth biggest value? (a) -4 (b) -5 (c) 3\/5 (d) i (e) 1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-17 + 0)\/51*-918537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 3:36 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**3\/15 - 1094*f**2\/5 - 12144*f - 836352\/5 = 0.\nAnswer: -1584, -33, -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - i = 4*n + 40, 2*i + 44 = 4*n. What is the units digit of 6\/i + (-195)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 249558075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 887953 rounded to the nearest ten thousand?\nAnswer: 890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23550 (base 12) to base 3.\nAnswer: 2102001220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 1. Let p(k) be the third derivative of 0 + 2\/3*k**3 + 0*k - 1\/24*k**4 - 8*k**2. What is p(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/16539 and -26\/27565?\nAnswer: 82695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 7*g + 4 + (0 + 1 + 0)*(0 + 0 + 5*g))*(-g - 3*g + 0*g) + 2*g**2 + 4*g - 4*g to the form k + q*g**2 + x*g and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 to the power of 1\/2, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 15*s. Let w(q) = 2*q + 41. Let a(b) = -b + 14. Let o(d) = 3*a(d) - w(d). Determine i(o(x)).\nAnswer: -75*x + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 25\/75 - 2\/(18\/5). Let w = 1055 - 1055. Sort -4, d, w.\nAnswer: -4, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(-45)*(-5)\/4\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -68*w + 8*w**2 - 597*w**3 - 173 + 598*w**3 + 179. Calculate v(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q + 5*g = 4*q + 2, -q - 2*g = 0. Suppose q*i + 6*b = 3*b + 103, b = -i + 27. Calculate the lowest common multiple of i and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 5 (b) -240 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -56 + 60. Suppose -5*u = -j - 11, 27 = 3*j + y*u + u. Solve -j*a + 0 + 12 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 528137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 114489070\/13 or 8806853?\nAnswer: 8806853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, h: 1, n: 6, d: 2, j: 1, m: 7}. Give prob of sequence hjd.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20789.\nAnswer: 20789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (28\/(-16))\/7 + ((-11172)\/(-16) - 5).\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 54*i**2 + 1389*i + 8902. Determine x(-13).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 56804819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -41 - 122*p + 42*p - 2*p**2 + 17 + 24 as s*p**2 + d*p + k and give d.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -681 + 1913. Is a a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1535320, -3070654, -4605988, -6141322?\n\"Answer: -1535334*t + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 + -3)*(0 - -2). Differentiate -101*n**s - 12 + 101*n**2 + 78*n**3 with respect to n.\nAnswer: 234*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 496783 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -13*m**2 + 75*m + 6. Let u(f) = 13*f**2 - 74*f - 2. Let t(x) = 5*r(x) + 6*u(x). What is the hundreds digit of t(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4560265 is divided by 138.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14 - 1 + 3)*(0 - 1 - 2)*(r + 2*r - 5*r) to the form f + c*r and give c.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**4 - 1126*q**3 - 16218*q**2 + 35806*q - 18464 = 0. Calculate q.\nAnswer: -16, 1, 577","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d + 45 - 45. Is (d - -1)\/(-5 - 2493684\/(-498735)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide ((-3634)\/(-7))\/((-6)\/(-42))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*i - 14188 + 14396 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 - 0. Let w = -83623 + 83623. Which is the closest to -0.1? (a) -2\/7 (b) t (c) 0.05 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -67.266105 to two dps.\nAnswer: -67.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of j**5\/20 - 7*j**4\/4 + j**3\/3 - 23*j**2 - 11*j + 1. Let v be f(21). Sort -2, 3, v.\nAnswer: v, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**2*c*n**2 - 3*b**2*c - 753*b**2*n + 2*b*c*n + 793*b*c - 3*b*n**2 - b wrt b.\nAnswer: 4*c*n**2 - 6*c - 1506*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -547*k + 22950 - 56317 for k.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 103663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003705687 rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 - -36. Let j = -16 + v. Let t = -1\/8 - 3\/40. What is the second smallest value in -4, t, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express k**2 + 4*k**2 - 7*k**2 + (25 + 5 + 8)*(-29 + 8*k**2 + 29) in the form q + m*k + j*k**2 and give j.\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1704*c*i + 694*i + 1 with respect to c.\nAnswer: 1704*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1914 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 - 35. What is the second biggest value in b, -0.5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143601529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -4573361.\nAnswer: -1829344.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -727 - -722 - ((-1 - 5) + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 4*j**2 - 1. Let q(m) = m**2. What is 3*l(b) - 8*q(b)?\nAnswer: 4*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 893598619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -330130 (base 4) in base 8?\nAnswer: -7434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1604906?\nAnswer: 2, 802453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 3*n + 51. Let z = n - -25. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4520, -3529, -2534, -1535, -532, 475?\n\"Answer: 2*y**2 + 985*y - 5507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9218074 - -370.9594.\nAnswer: 9218444.9594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -41031*v. Let q(x) = -2*x. Give b(q(i)).\nAnswer: 82062*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/(250\/4)*(-5)\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, 3, 7, 18, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7539 + 7965. Calculate the remainder when q is divided by 99.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/3)*g)**(-48))**(1\/5) assuming g is positive.\nAnswer: g**(-64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1771, 2810, 3125, 2728, 1631?\n\"Answer: 2*u**3 - 374*u**2 + 2147*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*w + 2)*(-8*w + 8*w + 3*w**2) + (-7*w**2 + 2*w**2 + 4*w**2)*(w + 3*w - 2*w) - 3*w**3 + 0*w**3 + w**3 - w**3 + 13*w**3 - 2*w**3.\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -r**4\/4 - 154*r. Let o(s) = -2*s**2 - 18*s. Determine o(k(n)).\nAnswer: -18*n**4 + 54*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -64, 278, 4 in ascending order.\nAnswer: -64, 3, 4, 278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/138040 and 181\/178500.\nAnswer: 10353000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 2:10 PM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2128520 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1*(3 + (sqrt(833) - sqrt(833)*5 - sqrt(833)) + sqrt(833)) + 3)**2.\nAnswer: -336*sqrt(17) + 13369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2012406 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 49*q**3 - 97 wrt q.\nAnswer: 147*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**4\/9 - 56*n**3\/9 - 200*n**2\/9 - 64*n\/3 = 0. Calculate n.\nAnswer: -24, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 274, 450, 664, 910, 1182, 1474, 1780?\n\"Answer: -i**3 + 25*i**2 + 108*i + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2880507 divided by -7.\nAnswer: -411501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7343 or 253?\nAnswer: -7343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -9*t - 23. Let b be i(-12). Suppose -2*s + o + 43 = 0, s + b = 5*s - 3*o. Calculate the lowest common multiple of s and 28.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 162*b**2 - 3*b + 2. Is 23 a factor of r(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 4*j - 3. Let m be c(5). Suppose 3 + 10 = r + 2*b, -2*b + 1 = -3*r. Solve n + 0 - r = 0, -m*v + 14 = 4*n for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 36120*s**3 - 96949.\nAnswer: 108360*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14904353?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 59890, -5.\nAnswer: -5, 3, 59890","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 1 - 9 = y, -3*p - 40 = 5*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 4*n**2 - 2*n. Let u(a) = -a**2 + a. Let m(t) = 6*u(t) + 3*v(t). Let o(z) = 2*z. Calculate m(o(l)).\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y*y**(-2\/11)\/y)\/y)\/((y**4\/y)\/y*y))**(-4\/27)\/(y**(-2\/7)*y**(-1\/7))**(2\/121) assuming y is positive.\nAnswer: y**(10942\/22869)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 = -8*q + 18*q. List the prime factors of (301\/q + -7)*81\/2.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 33*z. Suppose -2273 = -3*i + r, i - 214 = 4*r + 540. Let a(m) = -i*m**2 + 1505*m**2 - 758*m**2. Determine a(s(d)).\nAnswer: -11979*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 7452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14.4 + -16.4. Which is smaller: x or 5\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 0*j + 120 = 0. Suppose 32*v = j*v + 260. Suppose 6 - v = 4*a. Is -29 at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o**3 + 159*o**2 + 120*o - 448. Let h be x(-52). Calculate the greatest common divisor of 512 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/572208 and -97\/2717988?\nAnswer: 10871952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2.55 (b) 1\/9 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 24530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 616*l**2 + 263*l + 1588. Is 52 a factor of d(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198 = -2*v - 12. Let g = v + -1583\/17. What is the third smallest value in -19, g, -1\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kujujz. What is prob of picking 1 u, 1 j, and 1 z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*b + 5 = 38*b - 10*k, -25 = -5*b - 5*k for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 less than 37?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91937?\nAnswer: 89, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1220778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -3, 74, 0, -43.\nAnswer: -43, -3, 0, 13, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h - 1. Let k(s) = -7*s**2 - s - 1. Let o(v) = -v**2 + v - 1. Let l(y) = k(y) - 5*o(y). Let p(g) = -l(g) - 4*z(g). Factor p(i).\nAnswer: 2*i*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffufuffufffffufuff. Give prob of sequence uuf.\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**2 + 4*p - 8. Calculate the least common multiple of s(-4) and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 57*y**2 + 57*y - 50. Calculate u(-58).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -3 (b) 1\/4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**3 + 1. Let d be o(1). Suppose 0*p = -d*p + 51. Suppose -5*x + p = -28. Solve -l + 4*l - x = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52196.173 rounded to the nearest one hundred?\nAnswer: 52200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/2*16\/(-12). Calculate the highest common divisor of 8 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 12:27 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000046139799 rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.5 (b) -4304955 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**2 - 12*c - 49. Suppose 2*p + i - 53 = -0*p, -3*p = 3*i - 84. Calculate the lowest common multiple of p and a(-3).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 754627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/18 and 103\/4398?\nAnswer: 13194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1216, 16, 1, 3 in decreasing order.\nAnswer: 16, 3, 1, 0, -1216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -9*k**2 + 6*k - 6. Suppose 18*x = 7*x + 77. Let g(n) = -n**2 + 19*n - 25*n**2 + x - 24. Let s(c) = 6*g(c) - 17*v(c). Suppose s(l) = 0. Calculate l.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 20*k**2 - 14*k + 53. What is the hundreds digit of r(-18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17583 is divided by 1531?\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/(-6)*(-19 - -3628)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187651 is divided by 225.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/1898883 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 2:04 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + w = -10. Calculate the smallest common multiple of 3\/6 + 3\/6 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4602562723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 88 and 1760.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + -9 - -5 - (-14 - -11). Let h be ((-1)\/3)\/((-1)\/15). Put 17, h, f, -1 in increasing order.\nAnswer: -1, f, h, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 56 - -69?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 + 1db?\nAnswer: 1d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + c = -0*r + 1, -2 = 3*r - 2*c. Suppose 27 = 3*s - 0*s. Suppose 0*b = -2*b + 3*y - 7, r = -b - y + s. Solve b*k = k + 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122952.\nAnswer: 2, 3, 47, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -5*z + 3*z + 4*z. Suppose -3*d + 0*d = 5*p + 34, -2*d - 4*p - 26 = 0. Give o(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.2 + 3. Let t = -0.4 - n. Let w = -55 + 273\/5. Which is the third smallest value? (a) -1\/4 (b) t (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 10, 5, 14, 43, 98, 185, 310?\n\"Answer: v**3 + v**2 - 15*v + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -46? (a) 9 (b) 1 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -18\/77 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(17))*-1*-3)**2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 7590, -193, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, n: 1, h: 16}. Give prob of picking 1 n, 1 y, and 2 h.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2*p**2\/5 + 34*p\/5 + 276\/5 = 0.\nAnswer: -6, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 5 = -4*u. Let f = u + -4. Which is greater: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 9\/(-15))*80. Let p = -76 + q. Suppose -2*d + p = 3*h, 2*d - 55 = 2*h + 17. Is 16 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2222000201011 (base 3) to base 10\nAnswer: 1575157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10781857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**3 - 1686898*u**2 + 6747618*u - 5060718 = 0. What is u?\nAnswer: -843453, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w. Let c(r) be the third derivative of -r**4\/8 - r**2. Let f be (-10 + 7)*10\/(-6). Determine f*y(z) + 2*c(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.172 + 0.048. Let d = p - -0.024. Let q = 4 + -9. What is the nearest to d in q, -2\/7, -0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8 - -0.3. Let i = 76709 - 4601261\/60. Let d = -107\/5 + i. What is the smallest value in n, 3, d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c. Let n(j) be the third derivative of -41*j**4\/6 + j**2 + 18*j. Give k(n(l)).\nAnswer: -164*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36.901 + -37.701. Let y = 0.1 + -0.1. Sort -0.5, y, r in decreasing order.\nAnswer: y, -0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2 - 5*j - 178. Give l(11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -3063436?\nAnswer: -1\/1531718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6d1d (base 14) to base 9.\nAnswer: 28104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 + 0 + 2)*(89 - 69 - 100)*(-2*i**4 + 0*i**2 + 0*i**2) + 5*i**4 + 0*i**3 + 0*i**3 as l*i + q + m*i**3 + a*i**4 + b*i**2 and give a.\nAnswer: 2085","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*y**4 - 1703*y**3 - y**2 + 20907*y - 2 wrt y.\nAnswer: -36*y**2 - 10218*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-3)*n**5\/n*(n*n\/(n*((((n*n\/(n*n*n**0))\/n)\/n*n)\/n)\/n)*n)\/(n\/n**(-2\/11)) assuming n is positive.\nAnswer: n**(53\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -t. Suppose 3*y + y - 8 = t. Let i(k) = 2*k - k**3 + k**y - 3*k**3 + 1 + k**2. Give i(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30595 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: What is the remainder when 487 is divided by 41?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z**2 - 13*z + 157. Let k be j(7). Solve -204*x = -k*x - 36 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2351056702 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102102 (base 4) to base 9.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -97.6893 - -3.6.\nAnswer: -94.0893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 482\/1107 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 7)*(d**4 - 5*d**4 + 2*d**4) to j*d + t*d**2 + b*d**4 + h*d**3 + z and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of w**4\/2 + 5*w**2 + 12*w. What is the derivative of x(j) wrt j?\nAnswer: 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 214407\/22 + -9750. Calculate the common denominator of o and 471\/(-60) + 3 + (2 - 1).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.31 - -5.31. Which is the nearest to -1\/5? (a) -2 (b) -3\/5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/6*18\/15. Suppose 3*m - m = 0. Suppose l - v + m = 0. What is the greatest common factor of 6 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -67, -72, -77, -82, -87, -92?\n\"Answer: -5*q - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, -2, 0, 1, -13 in descending order.\nAnswer: 3, 1, 0, -2, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4590 = -5*p, 3159 + 1434 = 5*g + 4*p. Suppose 3396 = 9*s + g. Does 55 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/30)\/(82\/(-3075)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -w - 3*b, -4*b + 79 = 2*w + 69 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2123 is divided by 118?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/4, 2, 4, -28739, 54, 3\/11?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 19. Let g = z + -5. Solve 6 = 2*n - g for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 393 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - z**2 - 2*z. Suppose 5*j = 3*y - y - 15, 3*j = y - 8. Let m be s(j). What is the third smallest value in -5, m, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*i - 941*i**3 + 1844*i**3 + 5*i**2 - 2*i**4 - i**4 - 909*i**3 to the form g*i**2 + p*i + d*i**4 + c + n*i**3 and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, x: 2, u: 4, w: 9}. Give prob of sequence uvx.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 42430140 (base 5) to base 9\nAnswer: 605276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k + 23. Let z(g) = -g + 72. What is 7*u(d) - 2*z(d)?\nAnswer: -12*d + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7356 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: Suppose 2*i - 2 = -4, -3*f + 2*i = -953. Let z be (f\/(-3))\/(9\/(-27)). Let k(g) = 317 - 5*g - z. Let v(x) = -x. Give v(k(l)).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**4\/6 + 175*f**3\/3 + 7237*f**2\/6 + 1148*f = 0. What is f?\nAnswer: -328, -21, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1280)*-1 + sqrt(1280)) + (sqrt(1280) - (1 + sqrt(1280) + 1))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -14?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 + 3*j**2 - 4*j**2)*(86 + 158 + 4 + 75).\nAnswer: -323*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/84)\/((-26468)\/3563)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -413139*b**6*p**2 + 12*b**3*p**2 + 10*b**2*p - 45722*p**2 wrt b?\nAnswer: -49576680*b**3*p**2 + 72*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 5*p**2 + 2*p + 3. What are the prime factors of r(-2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 - b - 3. Let o = 44 - 42. Let u be j(o). Suppose 2*t - u*t + 630000 = 0. What is t rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrrrrr. Give prob of sequence rr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 361 + -360.83. Let q = -38 - -37. Which is bigger: q or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-10\/3)\/x**(-3\/8)*x\/(x\/(x\/(x*x**(-6)*x*x)*x)*x)*(x\/(((x*x**(3\/7)*x)\/x)\/x*x))\/x)**(2\/133) assuming x is positive.\nAnswer: x**(-65\/11172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3192 = 28*q - 112*q. Solve q*j + 23 = -15 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 7 - 1 - 4 + k**2 + 6*k. Calculate z(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/12 and (2 - 633\/36) + 2\/(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3460.\nAnswer: 2, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 3*q - 544, -4*q + 342 + 368 = -i. Suppose -176*a = -q*a + 196. What is the greatest common factor of a and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 17685\/21 - 14\/98. Let j = -836 + w. Let x(p) = -3*p + 17. Give x(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6447.104km in meters?\nAnswer: 6447104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**2\/4 - 116495*k\/4 + 291225\/2 = 0?\nAnswer: 5, 116490","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25 + -17 - -1) + -4 + 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29124777949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 102 and 104638.\nAnswer: 10673076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 453639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10537 + -5667. Is s a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*k + 3*y - 584, -5*y - 556 = -2*k. Suppose 103 - k = -5*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6 - (-7 - -15)) + 8. Let a(y) = -52*y**2 - 6*y + 31. Let l be a(o). What is l rounded to the nearest 100?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = n + 8, 0 = 3*n - 0*n + 5*w + 14. Let v(b) = 9*b. Let l(k) = k - 1. Let t(j) = -10*l(j) + 2*v(j). Let q be t(n). Is q < -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 83 - 100. Let b(x) = -x - 3. Let s(v) = -3*v - 8. Determine r*b(m) + 6*s(m).\nAnswer: -m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 32, 4, 7, 218, 5 in decreasing order.\nAnswer: 218, 32, 7, 5, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 - 3948*w + 1298892.\nAnswer: 3*(w - 658)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) -0.87 (c) 3 (d) -0.5 (e) 98\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1 + -5 + 3*2*sqrt(704)*5 + 0 + 3))**2.\nAnswer: -12960*sqrt(11) + 5702481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g + 2176 + 3620 = 0. Is g a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 689 and 159?\nAnswer: 2067","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/(-6) - (-3 + (-14)\/(-2)) - (-1100)\/(-3300)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 538, 1054, 1510, 1876, 2122, 2218, 2134?\n\"Answer: -5*o**3 + 551*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l\/(((l**36\/l)\/l)\/l)*l*l*l*l*l)\/l*l)\/l*(l**(3\/20)\/l*l)\/l)\/(l**18*l**(-2\/17)) assuming l is positive.\nAnswer: l**(-15549\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**3 + 8*h**2 - 8. Suppose f - 2 + 3 = 0. Let k(s) = -s**2 + 1. Give f*o(y) - 8*k(y).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -238, -812, -1778, -3142, -4910, -7088, -9682?\n\"Answer: -u**3 - 190*u**2 + 3*u - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/3)\/(4\/(-84)*9).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 0) + -1185 + 1167?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 2*i**2 + 3*i - 1. Let q(t) = t + 18. Let o be q(-10). Let f be o\/(-18)*45\/(-10). Let l be g(f). Solve -l = -r - 0*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*j**2*u - 30*j**2 - 589*u wrt j.\nAnswer: -14*j*u - 60*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 405.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, t: 16}. What is prob of sequence nttt?\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 2*p + 8 - 24, m = -2*p - 9. Suppose 2*z = 4*y - 2*y - 10, -3*z - 5*y = 7. List the prime factors of (-2)\/(-2) - (z - p).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -914.973225 rounded to 2 decimal places?\nAnswer: -914.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235900.\nAnswer: 2, 5, 7, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2337, -4691, -7047, -9405, -11765, -14127, -16491?\nAnswer: -18857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.443 times -5?\nAnswer: 2.215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10632630 is divided by 16383.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -771*z + 771*z + 20*z**2.\nAnswer: 20*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -258?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3 = 7. Factor 4*j - 6 + 1 + 4 + 3 + 2*j**z.\nAnswer: 2*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15519 and 11886.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1 + 3 - 559*l**4 + 1642*l**4 + 1435*l + 2577*l**4 + 565*l**4 wrt l.\nAnswer: 50700*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -1 (c) 1 (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 + 35. Suppose -2*s - 5*q + 12 = r, -3*s + 47 = 2*s + 4*q. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51905 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3340 + 3347. Solve -w = -2*b + 13, 3*b - 4*w - y = 4*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 3, 4, -0.22, -0.09 in ascending order.\nAnswer: -3\/2, -0.22, -0.09, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 190 and 5985?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 6 + -16 + 4 - (6 + 46).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of 3*h**2\/2 + 62. Let o(g) = -25*g**2. Give p(o(i)).\nAnswer: -75*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 1 + 50. Suppose 0*u + p = 3*u. Suppose -16 = -5*b - 3*n + u, -2*n + 1 = b. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*d**4*r**3 - 23*d**3*r**3 + d**2*r**2 - 10*d*r**3 - r**2 wrt d.\nAnswer: 72*d*r**3 - 138*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11616672 by -242014.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 6*m - 1. Let c be p(-5). Let x(r) = 8893*r + 0*r**3 - 8902*r + r**3 - 10 + 5*r**2. What is x(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -167, -180, -209, -260, -339, -452, -605, -804?\n\"Answer: -r**3 - 2*r**2 - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = -19*i - 0. What are the prime factors of (1\/2)\/(i*3\/(-4890))?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94822 is divided by 140?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a day in hours?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 4b2a5dd?\nAnswer: 4b2a602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 638205.\nAnswer: 3, 5, 157, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**14\/o*o*o\/(o\/(o\/(o**(-6\/23)*o)))*(o**(1\/2))**(1\/71))**(-5\/9) assuming o is positive.\nAnswer: o**(-77665\/9798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 125?\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26*b**2 - 5*b**2 + 9*b**2)*(4 + 2 - 4)*(-9*b**2 + 11 - 11) as z*b**4 + x*b**2 + k*b + c*b**3 + u and give z.\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1891 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-158)\/(-26) - ((-2279)\/(-559) - 4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 583966263 to the nearest integer?\nAnswer: 836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 954*s - 140*s + 10800 = -86*s for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3942 divided by 18\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 19800, 20934, 22034, 23100, 24132, 25130, 26094?\n\"Answer: -17*t**2 + 1185*t + 18632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w - 2*w + 2522*w**3 - 2521*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 76538 and 49.\nAnswer: 76538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/18 - -8\/9. Suppose 0 = -4*r + 5*o - 3, 0 = r - o + 1 - 0. Sort r, n, -2\/13.\nAnswer: r, -2\/13, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -l**4\/4 - 5*l**3\/3 + 3*l**2 + 5*l + 1. Let s be m(-6). Suppose -z**3 - 5*z**s + 5*z**3 + 3*z**5 + 2*z**4 = 0. What is z?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**2\/3 - 38180656*c - 546660934721376 = 0. Calculate c.\nAnswer: -28635492","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0021 + 1.9979. What is the closest to -0.02 in 4, s, -0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 4*o - 77. Let d be n(-27). Let t = -219 - d. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -27.13 + 5.13. Let c = 0.1 + -5.1. Let n = 4 + c. Is y less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28913058 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5495*g - 6115*g + 15470 + 18244 - 6434 for g.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.499 and -1.\nAnswer: 0.499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -750\/20603 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 533*l**2 - 21*l + 40. What is the tens digit of o(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 10*h**2 + h - 1. Let l be k(-1). Suppose l = 3*r + r. Suppose g - 4*m - 25 = 0, -g = -m + r*m. Sort 8, 1, g in increasing order.\nAnswer: 1, g, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 + x + (385 - 1559 + 694)*(-8*x + 8*x - 12*x).\nAnswer: 5761*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 712 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m - 10. Let x be n(-10). Suppose -3*z - 2*z = 3*a - 33, 2*z - x = 2*a. Suppose -5*s + 1 = -5*g - 14, 5*s + 4*g = z. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1801995017.\nAnswer: 19, 94841843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 2826414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27156*d + 27195*d = 1131 for d.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 10. Let r = p - -5.7. Let t be ((-1)\/10)\/((-1)\/(-4)). Which is the third biggest value? (a) r (b) 2\/7 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1 (b) -18 (c) -0.2 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -7*2\/(-42)*48. What is the greatest common factor of a and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/7))**36\/(q**1)**4 assuming q is positive.\nAnswer: q**(44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-8))**25 assuming d is positive.\nAnswer: d**(-200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s - 3*s - 3*s)*(2*s + 2*s - 6*s)*((6 - 11 + 7)*(12*s**3 - 26*s**2 + 26*s**2) - 12 + 12 + 11*s**3).\nAnswer: 70*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wppwdpdddd. Give prob of picking 2 p.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 68871 - -4?\nAnswer: 68875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/15 + (-14)\/6. Let b = 4 + h. Suppose -g - 22 = -d + b*g, 0 = 4*d - g - 33. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*g - 202 = -4*n, 2*n = -4*g + 98. Does 17 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/4 - (-60)\/10)\/((-13)\/390).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 28*k - 4. Determine z(-2).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + -6*3\/(-6). Suppose -y*p + 105 = -0*p. Suppose -3*w - 4*q = -p, 0 = w - 4*w + 3*q. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -6*f - 2. Suppose -7*l - 2*o + 35 = -2*l, 2*l - 11*o - 73 = 0. What is c(l)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -155\/23 or -3143.2?\nAnswer: -3143.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 2 + 0\/2. Let i(o) = 8*o. Let f be i(d). What is the second derivative of -16 + 2*m + f + 3*m**4 + m**4 wrt m?\nAnswer: 48*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01311788 to five dps.\nAnswer: 0.01312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f**3 - 15*f**2*s**3 - f**2*s**2 - 148*s**3 - 4 with respect to f.\nAnswer: -6*f**2 - 30*f*s**3 - 2*f*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.21289 rounded to 2 decimal places?\nAnswer: -2.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 56 = 358. Let q = 475\/3 - o. Let m = -1859 - -46492\/25. What is the common denominator of m and q?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1596 greater than 1594?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 156 = -4*w, 2*s - 5*w + w - 60 = 0. Let n = s - 22. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2077011?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -128*j**4 - 1727*j**3\/3 + 3390*j**2. Differentiate d(z) wrt z.\nAnswer: -3072","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2274724*p + 2274724*p - 2*p**2 + 4.\nAnswer: -2*p**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (-4 + -6)) + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -5*l + 36, 2*l - 6 = -2*j - 0*j. Let a = 93 + -91. Suppose g + a = m + 2*m, -5*g + l = m. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/10 of a litre?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than -1687?\nAnswer: -1687.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvdvvvvdvvvvd. Give prob of sequence dddv.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.5 bigger than -10740?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h + 39 = 109. Put 3, 13, h in increasing order.\nAnswer: h, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 62576 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 times 0.95792\nAnswer: -0.574752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2560 = -9*n + n. Suppose -3*s + i + 325 = 0, -s - 4*i = 2*s - n. Is 27 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3 + 0 = 0. Suppose v*j + 214 + 50 = 0. Is (j\/10)\/(4\/(-10)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 709*w - 748*w = -1014 for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 1150?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**3 - 660*u + 314 - 18*u**3 + 660*u.\nAnswer: -21*u**3 + 314","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4977974 is divided by 553097.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 5:43 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-56)\/90 - 0) + 60\/150. What is the nearest to 4\/3 in z, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 125\/(-625) + (-484)\/(-20) and 1188.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6649 and 4.\nAnswer: -26596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11010 (base 2) to base 9.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4*c + 2 = 0, -c - 6 = -n - 9. What is the biggest value in n, 1\/4, -70?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*v**4 - v**3 + 145*v**2 - 255*v + 29 wrt v.\nAnswer: 108*v**2 - 6*v + 290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -588*b**5*d + b**4*d**3 - 131*b**2*d**3 - 5*b**2*d**2 wrt b.\nAnswer: -35280*b**2*d + 24*b*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 974\/45 - 193\/9. Let 1\/5*l**2 - b*l**4 - 1\/5*l**5 + 0 + 0*l + 1\/5*l**3 = 0. Calculate l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1031 - -3?\nAnswer: -1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(3\/5)\/i**(-3\/5))\/(i\/(i**5*i*i)*i**(-3\/8)))**(-5\/18) assuming i is positive.\nAnswer: i**(-101\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 138?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -61*q. Does 6 divide v(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 683\/(-38) + 11 + 3771\/(-342).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20832501 - 20832502 + 3*a - 39*a**2 - 3*a.\nAnswer: -39*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52 - 25. Suppose u - 2 = -0*u + 2*g, -4*u + g = t. Let l = u - -11. Solve 3*v = -0*o - 5*o - 37, l*v - 8 = 4*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12830 + 12829. Put 0.2, o, -2\/5, 120 in decreasing order.\nAnswer: 120, 0.2, -2\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/2037 and 52\/2037?\nAnswer: 2037","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4351748033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 13, -193, 3\/8, 0.3, -2\/13, -4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.08 - -0.38. Let y = -68819 + 68819.300005. Let h = x - y. What is h rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180654.\nAnswer: 2, 3, 30109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 2*v - 4, 4*j + 3*v - 6 = -0. Suppose -k + j*u = -2*u - 14, 2*k = -5*u + 1. Suppose -4*f - 60 = -k*f. Does 5 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 16, 83, 130, 157, 164?\n\"Answer: -10*a**2 + 97*a - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 17333, 34725, 52117, 69509?\n\"Answer: 17392*h - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 4\/(-6))*-6. Suppose -4*x + 8 + p = 0. What is the smallest common multiple of x and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - -6. Let u be (d\/10)\/((-2)\/(-5)). Find the second derivative of -b**4 + u*b**4 + 4*b - 2*b wrt b.\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8034?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -11. Let p = 11 - a. Let i be 61 - (0\/(-1) - p). Calculate the highest common factor of i and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -91 or 164.25?\nAnswer: 164.25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202 (base 3) to base 2.\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, x: 2, v: 12, h: 2}. Give prob of sequence xbx.\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2. Let o(d) be the second derivative of 35*d**3\/6 + 13*d. Calculate r(o(t)).\nAnswer: -1225*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0 = -2, -3*h = 3*j + 42. Let y be 48\/h - (7\/5 + -1). Which is smaller: -4 or y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 105\/12 - 3\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8533311 from -5431513.\nAnswer: -13964824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 548 - 530. Suppose -l*t + 5334 + 3648 = 0. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30836804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 8 (c) -135\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 467 is divided by 24?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (160\/(-4480))\/((-31858)\/31792 + 1). Let n = r - -10\/77. Determine l, given that -16\/3 - 32\/3*l**2 + 5\/3*l**3 + n*l = 0.\nAnswer: 2\/5, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -290 or -42?\nAnswer: -290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 14 = -n - n, -4*o - 20 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*z + 2. Is 3\/8 not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 176141715 by 5.\nAnswer: 35228343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 1 - (-2 + 7) - (-33 + 26).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 0*o**2 - o - 5*o**2 + 9*o**2 + 12*o**2. Let w(c) = -2*c. Give w(n(r)).\nAnswer: -32*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7299 + 4344. Let o be (4\/(-18))\/(10\/x). Let u = o + -65. Sort u, 4, -2 in descending order.\nAnswer: 4, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.06 - -0.04. Let j = -3553 - -3552.51. Which is bigger: b or j?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2200 = j + 3*j + 4*j. What is the lowest common multiple of j and 500?\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 2. Let n = o - -1. Factor 0*z**2 - 2*z**3 - z**n + 6*z**2 + 3*z + 6*z**3.\nAnswer: 3*z*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 145 + -98. Let u be ((-162)\/24)\/((-1)\/(-4)). Let x = 39 + u. Calculate the remainder when v is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/143)\/((-20)\/(-1560)*-57).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 1637 = -5*z, 3*w + 6*z = 9*z + 2442. Does 128 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - 9111566427.\nAnswer: -9111566427.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40440*i**5 + 5*i**3 + 36170*i**2 - 2 wrt i.\nAnswer: -2426400*i**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0401 and 0.311?\nAnswer: 0.2709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10565 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -g**4\/6 + 8*g**3\/3 - 7*g**2 + 13*g + 5. Factor w(v).\nAnswer: -2*(v - 7)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 + 1)*3\/(-9). Let f(r) be the second derivative of r**3\/2 - r**2\/2 + 9*r. Calculate f(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3677469?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4080 + 4098. Solve 3*x - 12*x + a = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -266 (base 11) in base 10?\nAnswer: -314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 522 and 783?\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -624, -2501, -5632, -10017?\n\"Answer: -627*q**2 + 4*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*p + 9 = 0, -p - 41 - 56 = -3*j. Solve -24*w + 29*w - j = 0 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5*h + 15 = 0, 2*j - h - 4*h = 5. Let -57 + 59 + s**2 + 2*s**4 - j*s**2 = 0. What is s?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 256 and 384.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - 12*x - 534. Let u be o(-18). Solve u*b - 8*b = -p + 7, 0 = -4*b - 12 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2934 divided by 6.\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -912719.0099 - -912797. Let l = w + -78. What is l rounded to 3 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241483 a multiple of 948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 - 16. Solve -i*p = -22 - 5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/35913 and 49\/48.\nAnswer: 574608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.8 - 5.893. Let d = v - 0.906998679. Round d to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146400267.\nAnswer: 3, 13, 23, 163211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -367, -370, -383, -412, -463, -542, -655, -808?\nAnswer: -1007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 232, 896, 1996, 3532, 5504, 7912, 10756?\nAnswer: 14036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and 1579705145306.\nAnswer: 1579705145305.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 4 - 3 - 4*b)*(-2*b - 3*b + b) + 9 + 12*b**2 - 9.\nAnswer: 24*b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4711870 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**3 - 11*i**3 + 10*i**3 + (-4*i**3 - 2*i**3 + 2*i**3)*(2 + 3 - 2).\nAnswer: -14*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rq when two letters picked without replacement from cqqqqqqqqcrlqq?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 7 + 9*d - 5)*(-29*d + 19*d - 12*d).\nAnswer: -110*d**2 - 44*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) -2 (c) 36 (d) 9 (e) 0 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**2 - 18*r + 4. Let q be b(-9). Is q\/(-8)*-838 + 0 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 209 - 203. Let s(c) be the first derivative of -m - 2\/3*c**3 + c + 1\/2*c**2. Factor s(z).\nAnswer: -(z - 1)*(2*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39573 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, -2, 2, 0.\nAnswer: -32, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 314034002?\nAnswer: 314034002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/6 + (-5)\/(-30)*2.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2499)\/sqrt(3) + 4)**2.\nAnswer: 56*sqrt(17) + 849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = q - 3*l - 22, 0 = 2*q + 5*l - 15. Suppose -4*v = -117 + 121, -s - 2*v = -8. What is the remainder when s is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51306239 to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 3:18 PM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 9*n + 3. Let b be c(9). Suppose 3*l = 4*l - b. Is 4 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s = -5*s + 8. Calculate the remainder when -24 - -19 - (s + -133) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*d = 5*d - 5512. What is the greatest common divisor of d and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -7*v. Let q(h) = 19*h. What is k(q(a))?\nAnswer: -133*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7657, 15318, 22979?\nAnswer: 30640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.3*59036378.\nAnswer: -135783669.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6459*q**6 - 1222*q**2 wrt q.\nAnswer: 775080*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-5)*(4 + (-15)\/10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o**3 - 7042*o**2 + 5503696*o - 1434635300. Let n(y) = -6*y**3 + 14085*y**2 - 11007387*y + 2869270599. Let h(m) = 9*k(m) + 4*n(m). Factor h(s).\nAnswer: 3*(s - 782)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6409, 6411, 6413, 6415?\nAnswer: 6417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 41\/(-3) + (-10)\/30. Let c = n + 24. Solve 4*q - l + 2 = 10, -c = -5*q - 2*l for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -20, -78, -184, -338, -540?\n\"Answer: -24*w**2 + 14*w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n - 53. Determine r(12).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2620*h + 1. Let v(z) = -4*z**2. What is v(u(p))?\nAnswer: -27457600*p**2 + 20960*p - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 2) + 342\/90. Let d(b) be the third derivative of -l*b**5 + 0 - 16\/3*b**3 + 0*b + 2\/15*b**6 + 8\/3*b**4 - 1\/105*b**7 + 3*b**2. Factor d(m).\nAnswer: -2*(m - 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9 + 363*o + 278*o - 608*o + (-2 + 2 - 1)*(o - o - 2*o).\nAnswer: 35*o - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16614, 33242, 49876, 66516, 83162, 99814, 116472?\nAnswer: 133136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 43112 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 12 + (-9373)\/1030)\/((-11)\/(-110)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.33 + 2.67. What is the nearest to -2 in 4, 0.1, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 2 - 4 + 10 - 4*a as d*a + w and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2607*c**3 - 123 + 123 - 4098*c**3 - 41*c**2 - c wrt c.\nAnswer: -8946","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 8) to base 7.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2775069 not equal to 2775087?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -49*z**5 + 420*z**4 - 851*z**3 - 420*z**2 + 900*z = 0.\nAnswer: -1, 0, 1, 30\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -b - 2*b - 7, -10 = -2*c + 2*b. Let d be (-1 + -1)*(-34 - -27). Calculate the greatest common divisor of c and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -20, -47, -70, -77, -56?\n\"Answer: 2*b**3 - 10*b**2 - 11*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 6*d**2 + 2*d + 5. Let s be i(6). Suppose 5*k + 18 = -s. Which is smaller: -6 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 23, 7\/6, 4, -5, -2 in descending order.\nAnswer: 23, 4, 7\/6, 0.1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 36*p**2 - 2*p + 8. Let q be k(-11). Suppose 0*r = -17*r + q. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 4896?\nAnswer: 4891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - 131?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 716660 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of -s**8\/11200 + s**7\/525 - 7*s**6\/1200 - 49*s**4\/6 + 24*s**2. Let b(m) be the second derivative of h(m). Factor b(w).\nAnswer: -3*w*(w - 7)*(w - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**3 + 2*b**2 - b**2 + b**3. Let w be f(1). Let m = 7 - w. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86136 - 270*i + 85910 - 172046.\nAnswer: -270*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10\/(-8))\/(3\/(-24)). Let x be (-3)\/(4\/(-4))*1. Suppose d = 6*d - x*s - 26, -2*d + 2 = 3*s. Solve -d*t + r + 2 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m**2 - 3*m + 1. Let b(w) = w**2 - 3*w. Let i be b(4). Suppose h + i*h = 10. Let d(y) = 16*y**2 + 16*y - 6. Determine h*d(u) + 11*c(u).\nAnswer: -u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4761*z**5 + 542478*z**4 - 20464645*z**3 + 255430176*z**2 + 14859180*z + 215600 = 0.\nAnswer: -2\/69, 35, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -5*k**2 - 2*k - 6. Let v(t) = 4*t**2 + t + 5. Give 6*v(y) + 5*z(y).\nAnswer: -y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 38.22963km?\nAnswer: 38229630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1753327, 3506632, 5259937?\nAnswer: 7013242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/8 (b) -4.60019 (c) 0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 781.\nAnswer: 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -1, -24 in increasing order.\nAnswer: -24, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (48 - 49) + (-1 - 2) - (-15 - (-9 - 4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13960*l**3 - 27992*l**3 + 13955*l**3 + 2.\nAnswer: -77*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(1 - 1 + d) - 2*d + d + 0*d + d - d - 2*d + (17 - 17 + 13*d)*(-3 + 4 + 1).\nAnswer: 24*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 347637236 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1516774 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in sixty-five halves of a gram?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, b: 6, j: 2, a: 1, k: 4}. What is prob of picking 2 r and 2 k?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 33022 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -b + 728, 174 = b - z - 514. What is the highest common divisor of 312 and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34462?\nAnswer: 2, 17231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.156 rounded to two decimal places?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-4*(1 + 2*sqrt(468)).\nAnswer: -288*sqrt(13) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 12:21 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**14*f)*f*f*f*f*(f**(1\/6)*f)\/f*(f**15\/f)\/f**(2\/29))**(11\/4) assuming f is positive.\nAnswer: f**(7843\/696)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*h**2 - 127 + 48*h**2 - 109*h**2 + 14*h**2 + 127.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*h - 6 = 20*h - 3*f, 0 = -2*h - f + 10 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 404358 divided by 3.\nAnswer: 134786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -3*a**4 - 7059*a**3 - 3462696*a**2 = 0?\nAnswer: -1656, -697, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 120 = -k. Suppose 4*f = -8 + k. What is the remainder when f is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 414 = -4*t, t + 2*t = -5*c - 325. What is the hundreds digit of (-2)\/15 - 13034\/t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 25?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 52?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 3*h - 54 = 10*l, 0 = 5*l - 5*h + 80. Which is smaller: l or -11?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -n**4\/30 + n**3\/5 + 8*n. Determine z, given that c(z) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)\/(sqrt(6)\/sqrt(2)*1))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4645310053 to the power of 1\/2, to the nearest integer?\nAnswer: 68157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1140 + 2405?\nAnswer: 3545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 555100 is divided by 277544.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 134860 (b) 1\/5 (c) 889 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49 - 71. Let y be 2\/6 + f\/(-6). Suppose -y*o + 2 = -2*o. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(-3 + -2)*1. Let c be -3 - (-5)\/(k\/(-9)). Solve -5*q - 2*p = 17, q + q + p = -c for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2131 = 3*u, -u + w + 245 + 470 = 0. Calculate the lowest common multiple of 5 and u.\nAnswer: 3565","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -606.3 - -642. Let p = 26.9 + -7.3. Let a = s - p. Round a to 0 decimal places.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26982049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3168, 13222, 30016, 53544, 83800, 120778, 164472, 214876?\nAnswer: 271984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fqqi when four letters picked without replacement from tfkqqvvfi?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 b, and 1 j when four letters picked without replacement from {w: 1, b: 4, v: 1, j: 2}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 47653 in descending order.\nAnswer: 47653, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*g**2 - 73*g**3 - 227*g + 2*g**4 + 338*g - 109*g + 1 to n*g**3 + h*g**4 + a + k*g + b*g**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 36\/5 (b) -0.11 (c) -0.146 (d) 1 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = h - 4*h - 11, 4*z - 5*h = 30 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 290 = 302 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-6)*o**(4\/3))\/((o**(-6)*o)\/o**(2\/13))*(o**(1\/3)*o*o)**45\/((o\/(o\/(o\/(o\/o**(1\/3))))*o)\/(o*o**2)) assuming o is positive.\nAnswer: o**(1393\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4c (base 15) to base 13.\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38.008 + 38. Let x = 4.008 + h. Which is the third smallest value? (a) -2 (b) -4 (c) 2\/5 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-90)\/240*(-4)\/6\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s\/(s*s**(-1\/2)\/s)*s)\/s)*s**2)**(10\/13) assuming s is positive.\nAnswer: s**(15\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 368 a factor of 210496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 9:02 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 3:27 PM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 4*j + 52 = 0, -4*m + j = -j - 46. Let a = -3 + 9. Calculate the highest common divisor of m and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 4*m**2 - 7*m - 5. Let j be k(-5). Suppose -2*p - 161 = -5*b, 7*p = j*b + 4*p - 164. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/24663088 and 25\/8627392?\nAnswer: 2269004096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*t - 2*k + 6 = -22*t, -t + 5*k = 11 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8008 is divided by 281?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**7\/350 + i**6\/40 - i**5\/100 - i**4\/8 + 72*i**2 + 2. Factor b(r).\nAnswer: 3*r*(r - 1)*(r + 1)*(r + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 4:35 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 at least as big as 29493\/206?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 6*r + 22. Give p(-12).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 + 6*h**2 + 6*h**2)*(-h + 0*h - 2*h) + (3*h**3 - 2*h**3 + 0*h**3)*(-5 + 4 + 3) - h**3 - 4*h**3 + 4*h**3 - 2*h**3 + 2*h**3 + 2*h**3.\nAnswer: -24*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 160, 311, 448, 565, 656, 715?\n\"Answer: -v**3 - v**2 + 161*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - -10) + (-116)\/((-4408)\/(-342)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9904?\nAnswer: 2, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 63 - 2*h**2 + h**4 - 25 - 23 - 18 + 2*h**3 as n*h**4 + a*h**3 + s + k*h**2 + u*h and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 243379\/80 - 3042. What is the common denominator of 61\/64 and h?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 j when two letters picked without replacement from {p: 1, j: 10, g: 2, x: 1}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*b + 590 = 1008 for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -2) + 18 + -19. Let i(g) be the first derivative of -z + 1\/2*g**2 - 3*g. Calculate i(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5283 and 2844.\nAnswer: 1669428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7571*g + 4342*g - 1111*g + 356466 = 0 for g.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 96\/15 + (7\/(-5) - -1). What is the highest common factor of n and 186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 4 (b) 2 (c) 5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 10:11 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 17\/4 of a microsecond?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o - 3. Let c be q(-2). Let d(h) = c*h - 5 - 4*h - 2*h**2 + h**3 + h**2. Suppose 0 = -2*w + 2*y - 8, -2*w + 2*y - 20 = -3*y. Give d(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 324813 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1593970617 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 142263 and 6991963.\nAnswer: 5269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t + 16 = 10*t. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4613754*-4.\nAnswer: 18455016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -6*o**3 + 47*o**2 + 844*o - 6693. Determine f(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 9 = i, -13 = -5*i + 2. Let s = -50 + 109. What is the remainder when s is divided by (-2 + 9 + c)*2?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3*n + 7, 0*a - 17 = -3*a - 5*n. What is the derivative of -5*r + a*r - 3 + 0 wrt r?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = -5*p - 60 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 30301 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2930*m**2. Let u(i) = 14*i - 2. Let z(y) = -54*y + 8. Let w(q) = 4*u(q) + z(q). Calculate w(s(n)).\nAnswer: -5860*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f - 109. Let x be c(-6). Which is greater: x or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -185, 81327 in decreasing order.\nAnswer: 81327, 3, -185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4922?\nAnswer: 2, 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wavvwavwwvv. Give prob of picking 2 w.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19477\/12 + 1623. Which is the third smallest value? (a) -4 (b) -2\/19 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -192 by -145.\nAnswer: 192\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -281 = -13*k + 1136. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*v**3 + 61*v**3 + 67*v**3 - 26*v**3.\nAnswer: 228*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002046533 to 7 decimal places.\nAnswer: -0.0000205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6116379794?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*(b*b*b**(-2\/19)\/b*b)\/b)*b*b*b**13)\/((b\/(b*b**(-33)\/b))\/b**(3\/10)))**(1\/51) assuming b is positive.\nAnswer: b**(-73\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18.99564995 + -1.71563133. Let y = -17.28 + i. What is y rounded to 6 decimal places?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2*sqrt(2700) - ((sqrt(2700) - (sqrt(2700) - (3 + sqrt(2700)))) + 2))**2.\nAnswer: 1080*sqrt(3) + 24336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 460*c - 44599 = -1744*c + 21521 for c.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -56*b**2 + 2. Let x(f) = -57*f**2 - 20*f + 2. Let i(y) = 4*y. Let r(c) = -5*i(c) - x(c). Give 2*d(n) + 3*r(n).\nAnswer: 59*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.46 + -1.95. Let u = 2.72 + o. Round u to one decimal place.\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 2*n + 27 = 0, -59*p - 22 = -63*p + 2*n for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2*s. Suppose -2*t = -s*t - 5*b + 30, 35 = -3*t + 5*b. Let l be ((-3 - -2) + 2)*t. Put -2\/3, -2\/13, l in increasing order.\nAnswer: l, -2\/3, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -37. Let s = m - 30. Find the second derivative of 3375 - 3375 - s*f + 11*f**4 wrt f.\nAnswer: 132*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 5:33 PM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*p + 3*p. Calculate the lowest common multiple of -1*(-2 - -1) - p and 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 201, 414, 681, 984?\nAnswer: 1305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -69*f - 337. Let u be d(-5). Solve -3*o - 7 = u*a - 13*a, 0 = -o + 2*a - 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(-1 + 0 + 5). Let a be 2\/(-4)*u\/(-6). Let z = -7.8 + 8. Sort 2, z, a in increasing order.\nAnswer: a, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n - 1. Let k(o) = -5*o + 3. Let q = -7 + 11. Suppose -15 + 5 = -2*x. Let c be x\/3 - 20\/30. Calculate c*k(b) + q*m(b).\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -71950, -143900, -215850, -287800?\n\"Answer: -71950*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1609 less than -3?\nAnswer: -1612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p + 8. Let v = 64 - 40. Let q = -19 + v. Calculate the least common multiple of f(0) and q.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/25 + (-34)\/(-10). Let j = -1 - -4. Let o = a + j. What is the greatest common divisor of 6 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/9 (b) -4 (c) 131\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -r**5\/30 + 2*r**2. Let d(u) be the third derivative of 0*u**4 + 0*u**3 + 0*u + 0 - 1\/20*u**5 + 2*u**2. Calculate f(d(x)).\nAnswer: -18*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -21. Let m = j - -19. Let s = 5.994 - m. Round s to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -57*m - 4. Let a(z) = -173*z - 13. Calculate -2*a(l) + 7*o(l).\nAnswer: -53*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/1*(-9 - 1 - -3). What is the smallest common multiple of ((-470)\/50 - a)\/(4\/(-15)) and 354?\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 117.4 + -117. Let j = 3 + -3.2. Which is the second biggest value? (a) y (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/11 - 88338*m\/11 - 2824768\/11.\nAnswer: -2*(m + 32)*(m + 44137)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - q - 4. Let y be a(0). Let c be y + -15493 - (-4 - -7). What is c rounded to the nearest one thousand?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 5, -1\/5, 0.6, -534, 1 in increasing order.\nAnswer: -534, -2\/3, -1\/5, 0.6, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g - 16. Let n be z(-7). Let i = 13 + n. Suppose 5*x + i = x. Put 4, 5, x in ascending order.\nAnswer: x, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 8284.\nAnswer: -1\/2071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*t - 861 + 27 = 126*t + 972 for t.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dsxwuew. Give prob of sequence wu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 9*n**2 + n + 18. Let b be d(9). Let r(i) = -3*i - 6. Let k be r(-5). What is the highest common factor of b and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 79689530?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4905 to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(972)*-2)\/((2*sqrt(30))\/sqrt(5)) + 5.\nAnswer: -9*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 6*b**2 + b - 1. Let n be d(1). Suppose -n + 18 = 2*a. What is the second derivative of -h - 2*h + a*h - 2*h**2 wrt h?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - r**2 - 2*r + 1. Let c be w(-2). Let m be -5 - c - (-2 - -1). Solve -g + v = -4, m*g = 2*v + 8 + 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -85 (base 14) to base 15\nAnswer: -7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 2 c, and 1 t when four letters picked without replacement from {b: 2, t: 2, c: 2, p: 6}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39*k**2 + 89*k**2 + 33*k**3 - 30*k**3 wrt k.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of -15*p**4\/4 + 3*p**2\/2 + 1. What is the second derivative of x(m) wrt m?\nAnswer: -90*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80341, 160680, 241025, 321382, 401757, 482156, 562585, 643050?\nAnswer: 723557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**2 - 120 + 16*o**2 + 48*o**2 + 355 - 24*o**2 in the form t*o**2 + g + c*o and give t.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -27*o**2 - 4360*o - 18990. What is a(-157)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -5*z + 4*l, 0 = l - 1 - 3. Suppose -5*h = -z + 3. Solve h*d - 14 = 3*j, -2*d - 3*j - 10 = -0*j for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -a + 16. Suppose 7 + 23 = 5*j. Let y = j + a. Solve -g = -3*g + c - 1, -16 = 2*g + y*c for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 3:31 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -349 + 349.14. Let v = 0.116 - u. Round v to three dps.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 divided by -55?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 3. Suppose -7 = -2*o - 3. Let v = 4 - o. Solve v*s + r = s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 30\/(-15 - -12) + 6*-1. Let g(m) = 54989*m - 176. Let q be g(p). Round q to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/16*1*-28. Solve i*q = 29*q + 8 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -4*u + 60, 14 = 4*u + j - 31. Let a(o) = -3*o**2 + 4*o - 1. Let g be a(-3). Let h = g + 122. What is the remainder when h is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -3 + 6 - -9\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2665 or -42653\/16?\nAnswer: -42653\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7525926*t**4 - 29193732*t?\nAnswer: 90311112*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhhhhrhhhhrrrrhh. Give prob of picking 2 r and 1 h.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3912359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 171138, 342275, 513412?\n\"Answer: 171137*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 + 150*u - 20*u - 24 - 724*u in the form w*u + f and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v - 16. Determine l(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*r**5 + 13587*r**4 - 416001*r**3 + 4138221*r**2 + 2467848*r + 357492 = 0 for r.\nAnswer: -2\/7, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-62)\/(-14) - ((-216)\/(-42))\/12. Suppose -w - o = 4*o + 555, -n*o + 546 = -w. Round w to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 42392 = 22*k - 27*k, -2*k - a = -16958. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5494471 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x - 43. What is the remainder when 114 is divided by k(-34)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 6:39 AM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 2*b + 10 = 0, -5*b + b - 20 = 0. Solve 2*y = 6 + v for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, r: 4, o: 4, s: 1}. Give prob of picking 1 s and 1 o.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*r + 23*r - 8*r)*(2 - 1 + 0)*(1593*r**2 - 7*r**3 - 1593*r**2).\nAnswer: -28*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2643*u + 544. Is b(-49) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24 or 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -9*p**4 + 2*p**3 + 2*p + 13. Let v(j) = 9*j**4 - 3*j**3 - 3*j - 14. Let u(z) = -3*k(z) - 2*v(z). Differentiate u(o) with respect to o.\nAnswer: 36*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -109*h**4 - 358633*h**2 + 4115343*h + 3.\nAnswer: -1308*h**2 - 717266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*w - 4*w = -93 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216 = -54*s + 81*s for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w + 57 - 192 = -3*i, 4*i + 199 - 167 = -3*w for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w - 6. Let n be j(-5). Let m = n + 4. Suppose 2 + m = p. Is p even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 72 = -3*h, -34 = -2*z + h + 3*h. What is the remainder when 44 is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 44 = 3*z - 9, m = -3*z + 50. Calculate the greatest common divisor of 85 and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32.853981 - -0.117519. Let r = -33.2145 - -0.2145. Let l = r + a. Round l to three decimal places.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88788.\nAnswer: 2, 3, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -4, 4 in ascending order.\nAnswer: -5, -4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmmmmm. What is prob of sequence mmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1905?\nAnswer: 3, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 3*y**3 + 38439*y**2 - 307656*y + 615408 = 0?\nAnswer: -12821, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of -r**4\/24 - 7*r**3\/6 + 5*r**2. Let p be l(-7). Which is smaller: p or 1\/17?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2807111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7633 - 21.3?\nAnswer: -7654.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16687*b**2 + 0 - 9437*b**2 + 0 + 8841*b - 9889*b**2 wrt b.\nAnswer: -5278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -377, -2999, -10107, -23945, -46757, -80787, -128279?\nAnswer: -191477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 47, 2, -121, -5 in increasing order.\nAnswer: -121, -5, 2, 3, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5980, -11956, -17930, -23902, -29872?\n\"Answer: x**2 - 5979*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -f + 0*f**4 - 1\/14*f**7 + f**3 + 0*f**6 + 0*f**2 + 0 + 0*f**5. What is the second derivative of s(k) wrt k?\nAnswer: -60*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 464*q**3 - 532*q**2.\nAnswer: 2784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 4:16 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kj when two letters picked without replacement from paappypapjkjjppjp.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1875, 1872, 1871, 1878, 1899, 1940, 2007, 2106?\n\"Answer: x**3 - 5*x**2 + 5*x + 1874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14\/5*n**4 - 2\/5*n**5 - 36\/5*n**3 - 26\/5*n - 6\/5 - 44\/5*n**2.\nAnswer: -2*(n + 1)**4*(n + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -q**5\/60 - q**4\/24 + q**3\/6 - 7*q**2. Let y be s(-2). Let g be (-2)\/3 - 0\/1. Is g != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -141 + 144. Solve 2*c + 3 = p*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 8, c: 2, m: 1, y: 7}. What is prob of picking 1 c and 2 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1112854 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from {j: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2\/3*j**2 + 8\/3*j + 8\/3 = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74165519 is divided by 390?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5 + 4 + (sqrt(245) - (sqrt(245) - (sqrt(245) - (sqrt(245) - (sqrt(245) - (sqrt(245) + -2))*-2)))) + -4)**2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/3*(-120)\/140 - 6?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -18 + 6. Solve 15 = -j*x - 2*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48222, 199657, 452048, 805395, 1259698?\nAnswer: 1814957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 285117?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-6)\/(-36))\/(7\/7).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/160080 and 79\/8280.\nAnswer: 480240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -1104*t - 112 + 552*t + 555*t in the form d*t + c and give c.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 o when two letters picked without replacement from zoozozz.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18690 and 7014?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 234 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -53129543 and -53129543 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3133 - 3133 - 6*n. Let g(h) be the second derivative of -h**3\/6 - h. Calculate g(t(r)).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 - 8916?\nAnswer: -8905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*a**2 - 2*a**4 + 24 - 19 - 7*a**2 + 12*a - 9*a to the form i*a**4 + z*a**2 + r*a + j*a**3 + y and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4724\/21 - -1381\/6. Let s = -541\/114 + 68\/19. What is the common denominator of v and s?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - k = -295 - 92, 3*t + 3*k = 237. Suppose 5*v - 28 = v. Calculate the highest common divisor of v and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -15?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 847 and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**5\/((j\/(j*j*j\/j**(4\/7)))\/j))\/(j**(-2\/7))**(3\/34))**(8\/7) assuming j is positive.\nAnswer: j**(7096\/833)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 less than or equal to -19\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 58399 or 58412?\nAnswer: 58412","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -0 + 15. Suppose -w*m + 5 = -2*m, -4*z = -4*m. Let t = z + -1. Which is smaller: t or 14\/5?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 44*a**2 + a - 40. Let k be f(44). Suppose 5*q + o + 12 = 6*q, -3*o = k*q - 48. Solve -3*t + 4*w - 6 = -2*t, t + 5*w - q = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*y**6*z - 45*y**3 + 3*y**2 + z + 2 wrt y.\nAnswer: -240*y**3*z - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 z, and 1 u when three letters picked without replacement from {x: 1, o: 1, u: 1, c: 2, z: 2}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -6*v**3 - 40*v**2 - 25*v - 87. Calculate z(-9).\nAnswer: 1272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 j when two letters picked without replacement from {l: 1, h: 2, o: 2, i: 1, t: 1, j: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319*w + 20375 = 50*w - 19846 for w.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18)\/(-27)*(-6)\/(-4)*-648. Let j = 161 - y. What are the prime factors of j?\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -224512, -224633, -224754, -224875, -224996?\nAnswer: -225117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 63 = -46*k + 49*k, 4*x - 59 = -k. Solve 5*p + 11*p = x for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3*sqrt(200).\nAnswer: -30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -98b14a (base 14) to base 3.\nAnswer: -100202002010211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 404*a**2 + 2471*a + 18. Determine w(6).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/6 (b) -2\/7 (c) 1\/2 (d) -0.185\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*p - 3 = 0. Suppose -3*w = 5*n + 30, -4*n + 2*w - 28 = -2*n. Put p, n, 1 in ascending order.\nAnswer: n, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 2*a + 3*b - 1596, -a + b + 1612 = 0. Which is smaller: 1612 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 11*v**2 - 19*v + 13. Let f = 25 - 16. Let k be y(f). What is the first derivative of -k*h - 15 + 6*h - 12*h - 7*h wrt h?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y**3 + 5*y**2 + 3*y - 1. Determine a(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -3*u**5\/4 - 34669*u**4\/4 - 427137*u**3\/4 - 103859*u**2\/4 + 106785*u + 34632 = 0.\nAnswer: -11544, -12, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -38442697 divided by 6\nAnswer: -38442697\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 12. Let m(h) = 2889*h**2 + 3*h + 8. Let g be m(l). What is g rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/25871 or 0?\nAnswer: -1\/25871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, -297, -685, -1247, -1995, -2941, -4097, -5475?\nAnswer: -7087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6949439 is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1190557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 488393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 221121020000 (base 3) to base 8\nAnswer: 1730135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(-8)*(-24 - (-1 - -3)). Let w be (-36)\/(-10) + r\/(-65). Solve -3*b + 4*o = 0, w*o = b - o for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-76)\/57)\/(12\/(-27)). Let z(o) be the first derivative of 2\/5*o**5 + 0*o**h + 0*o**4 + 3*o**2 + 0*o + 6. What is the second derivative of z(v) wrt v?\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*h*n*o**4 + 8*h*o**3 + 2*h + 2*n*o**6 + 4*n*o**2 + 17*n + o**2 wrt o?\nAnswer: 216*h*n*o + 48*h + 240*n*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 6:38 PM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 271363 in -3, 0.4, -12?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 940*j - 4735. Determine s(5).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -7*c - 2. Suppose -5*s + 4*j - 14 = 0, 2*s + 0*j = -j - 3. Let z = -6 - s. Let i(f) = -f. Give z*i(n) + d(n).\nAnswer: -3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 12*l - 24. Let g be z(14). Suppose -g*b = -5*d - 7, 3*b = -0*b - 4*d + 13. Solve -3*f + 6*i - i - 22 = 0, -4*f - 22 = -b*i for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - i = i + 7, 3*i = -15. Let n be -60*(h + (-35)\/(-15)). Let l = n + -33. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68 - (6 + (67 - 28)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 9:44 PM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -523, -620, -723, -832?\nAnswer: -947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*w = 128*w - 110 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 289.4 + -289.6. What is the third smallest value in m, -2, -6.88?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-18)\/(-21))\/(9\/42). What is the second derivative of 2*v**r - 5*v - 2*v + v wrt v?\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*k - 58 + 38. Let i(b) = -k*b + 5*b + 4 + 4 + 5*b + b**2. What is i(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 980508145.\nAnswer: 5, 31, 43, 131, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d - 13. Let s be q(36). Determine z, given that -5*z**2 - 83*z - 39*z - 140 - s*z = 0.\nAnswer: -28, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68559 is divided by 7369.\nAnswer: 2238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -817*z**2 + 19*z + 19. Let d(v) = 204*v**2 - 5*v - 5. Give 19*d(j) + 5*y(j).\nAnswer: -209*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 20 = 3*j, 3*a + 2 = 4*j - 3. Let k(u) = 565*u + 1 - 2265*u - 1. Let l be k(j). Round l to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -h + 50. Suppose 4*s = h*s - 180. Is 15 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 699.5485 litres to millilitres.\nAnswer: 699548.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 0.0701.\nAnswer: 0.03505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -85*y**2. Suppose 109*z + 1386 = 120*z. Let s(t) = z*t - 62*t - 65*t. Determine s(p(u)).\nAnswer: 85*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(9)\/(sqrt(18)\/sqrt(6)) + 1.\nAnswer: -5*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86 - 175 - 16*d + 86.\nAnswer: -16*d - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -4*k + 12, 3*k - k - 6 = 4*w. Let r be 1 + -1 + (2 - 1). What is the third biggest value in -3\/5, w, r?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a + 40079 = -57626 - 24235. What is the greatest common factor of 52 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - n - 4*n)*(56*n - 8513*n - 3292*n - 1125*n).\nAnswer: 64370*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001352.51431 less than 0.475?\nAnswer: 1001352.98931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7416 = 393*y - 7518 for y.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 754*t**2 + 24*t - 209. Is k(13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 1262 = q + 5*j, -3*j + 2524 = 2*q. Let x = q + -686. What is the hundreds digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/13062 and -61\/57.\nAnswer: 248178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 22*n**2 - 49*n + 31. Let s = -55 + 79. Let u be r(s). Solve -4*t + 11 + 25 = -4*y, 2*t = -3*y - u for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002070304 rounded to six dps?\nAnswer: 0.000207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25802 + 68421. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62149.23 weeks to microseconds.\nAnswer: 37587854304000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 12:57 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*s**4 - 66156*s**3 + 2739280*s**2 wrt s.\nAnswer: 96*s - 396936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, e: 3}. Give prob of picking 1 e and 2 r.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 - 13. Let w = 6 + l. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 260 and 42445.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 5*f - 11, 9*w + 12 = 5*w for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3430277 (base 8) in base 3?\nAnswer: -1202020200211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 937\/34854 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(13\/3)*q**(-2\/9)*(q\/(q*q**(-6\/5)))**7 assuming q is positive.\nAnswer: q**(563\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and 895.\nAnswer: 894.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111975 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20953 is divided by 427.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/7 + (-1056)\/(-462).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 4 (c) -4\/3 (d) 1364381\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in six fifths of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**4 + 2*z**4 + 2*z**4)*(-5 + 2 + 7)*(0 + 0 - 4).\nAnswer: -32*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-69)\/46)\/(9\/(-4)). Solve z*t - 1\/3*t**2 + 0 = 0 for t.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16909*x + 5*i + 7 = 16908*x, 9 = x - 3*i for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -6. Let x = 10 + n. Sort 1\/2, -2\/3, x in increasing order.\nAnswer: -2\/3, 1\/2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 14) to base 8.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 43*z**2 + 242*z + 7. Let n be o(-6). What is the greatest common factor of n and 309?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17334929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 65 - 57. Suppose -n*o + 6 + 18 = 0. Solve o*h - 13 = -16 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 8:20 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**7*w*w**(-2\/17))**(-9)*w*w\/(w\/((w*w**(-6))\/w*w))*w*((w\/(w\/w**6*w*w)*w)\/w)\/w*w*(w*w**(1\/5))\/w*w**1 assuming w is positive.\nAnswer: w**(-5843\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -u + 4, 1 = l - 2*u. What is the remainder when 96 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 6 + 9 + (2 - 2 - 1)*(3 - 3 + 2))*(-z**2 + z**2 - z**2 + (2*z - 2*z + 3*z)*(z - 4*z + 4*z)).\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 55.82647 + 0.00353. Let c = z + -58.2. Let w = -2.1 - c. What is w rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, n: 2, c: 2, p: 1, h: 1, v: 3}. Give prob of picking 1 n and 1 h.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -34*c + 31*c + 31535, -2*c + 2*s + 21030 = 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -7*v - 7. Let n(o) = 15*o + 15. Let j be 2\/1*39\/(-6). Determine j*m(r) - 6*n(r).\nAnswer: r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -7*t**2. Let c(p) be the third derivative of p**5\/20 - 2*p**2. Give c(k(u)).\nAnswer: 147*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -12.594 times -0.1\nAnswer: 1.2594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 6*b + 4. Let z be t(-6). Let n = -321 + 327. What is the highest common divisor of z and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -92*t**3 + t**2 + 7*t + 5. Is q(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s. Let i(w) = 2*w + 7*w - 8*w. Give h(i(a)).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - k**2 + 5*k - 10. What is s(-5)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/15 of a century?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-30)\/(-2 - (-15)\/12). Calculate the highest common divisor of q and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 5*c - 30, 2*z - c - c = 6. Let f = -20 - -29. What is the remainder when f is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + -1)\/(162\/(-12)) + 2804\/18. Calculate the greatest common divisor of d and 975.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92356333931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 188037 and 28971.\nAnswer: 605291103","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -66.79 + 66.29. Which is the fourth smallest value? (a) x (b) -0.1 (c) -4\/7 (d) -10 (e) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 3*a - 249 - 90 = 0, 4*a = 4*h - 252. Let o = 4\/121 - 2605\/1936. Find the common denominator of o and 311\/h - 2\/(-6).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16073 (base 15) to base 16\nAnswer: -11547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22602 is divided by 38?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2003835 divided by 3?\nAnswer: -667945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-510)\/4)\/(15\/(-20)). Let y = r + -165. Which is smaller: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -5*t + 16 + 18, -5*t - 2*i = -26. Solve -5*y - 3 = 3*a + a, t = -a - 3*y for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49767 a multiple of 313?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-8))\/(1\/(-4)) + (-5251)\/885\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.94 - 0.06. Let r be 10\/(-8) - 1\/(-4). Is r less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + -128 + (91 - 33).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 396788.8 rounded to the nearest 1000?\nAnswer: 397000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10545128.9999955 - 10545123. Let w = -0.1 - -6.1. Let a = w - u. What is a rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-4))\/(-3*5\/(-10)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 1 = 16. Let u(v) = v**3 - 2*v**2 + v. Let g be u(2). Put q, g, -1 in ascending order.\nAnswer: q, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tltlqll. Give prob of picking 2 t and 1 l.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwb when three letters picked without replacement from {x: 4, b: 6, s: 2, w: 3}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/2833711 and -97\/26?\nAnswer: 73676486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24901 and 259?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**35\/(g*g*(g*(g**(-15)*g)\/g)\/g))**(-30) assuming g is positive.\nAnswer: g**(-1440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/2 + (-4 - -5). Let l(i) = -i - 1. Let g(s) = 8001*s**2 + 4*s**3 - 6 - 6*s - 8001*s**2. Give k*g(p) - 6*l(p).\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19867499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 + 216*j + 3*j**2 + 14 - j**2 + 30.\nAnswer: 2*j**2 + 216*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (139\/45 + -3)*(-10)\/(-4). Let j(t) be the third derivative of -2*t**2 - 1\/18*t**4 + 0*t - 1\/180*t**5 - f*t**3 + 0. Suppose j(l) = 0. Calculate l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kvmo when four letters picked without replacement from {v: 1, l: 1, o: 3, p: 1, m: 1, k: 5}.\nAnswer: 1\/792","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.046 and -65?\nAnswer: -2.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 8) in base 14?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -48\/5. Which is the closest to -2\/5? (a) p (b) -6 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(78)*2)\/((-3*sqrt(6) - sqrt(6))*5 - sqrt(6)).\nAnswer: 2*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 175 - 125. Let m be ((-180)\/r)\/((-1)\/25). Suppose -2*s = -5*s + m. Does 10 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 - 35. Sort 2, 3, d, 4.\nAnswer: 2, 3, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -338 - -477. Suppose q = l + 119, q + l + 12 - v = 0. What are the prime factors of q?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 5*o**2 + o - 7. Calculate v(4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 30*q**2 + 30*q + 40. Suppose 0 = -4*c + 2*s - 3*s - 144, 0 = 3*s + 12. Let o = c - -62. Is d(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-2)\/((-10)\/(-15)) - -81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**9\/7560 + x**5\/40 - x**4\/12 + 7*x. Let t(o) be the third derivative of q(o). What is the first derivative of t(m) wrt m?\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.5, -4, -2\/3, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of 73\/42*p**7 - 98*p + 0*p**4 + 0*p**5 + 95\/6*p**3 + 0 + 0*p**2 + 0*p**6. What is the second derivative of v(w) wrt w?\nAnswer: 1460*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c**2 + 16*c**2 - 2*c + 2*c.\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**0\/i)*i\/(i*(i\/i**5)\/i*i*i*i))**(1\/8) assuming i is positive.\nAnswer: sqrt(i)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*k - 89*k = -32*k - 675 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -2572.\nAnswer: -2568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0627 - 360.0627. Let t = l + 351. Are -3\/4 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/4*12\/3 + 6. Solve o*m = 2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - 6. Let j(x) = x**3 + 7*x**2 + 7. Is j(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -109*j**3 + 8*j**2 + 3. Suppose 24 = -679*w + 687*w. Let s(d) = d**3 + 2. Let m(f) = w*s(f) - n(f). Find the third derivative of m(r) wrt r.\nAnswer: 672","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, u: 2, j: 1, o: 4}. Give prob of picking 2 u.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -163, -327, -491?\nAnswer: -655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 450\/200*(-60)\/225\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 160 = 16*l for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*5\/50*440\/11.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/387 and 37\/86.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69, -173, -299, -441, -593, -749, -903, -1049?\nAnswer: -1181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -5, -7, -2\/13, 0.05 in ascending order.\nAnswer: -7, -5, -2\/13, 0.05, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -f**4\/8 - 31*f**2. Let u(q) = -q**2 - 3*q + 3. Let v(p) = -4*p**2 - 10*p + 10. Let b(d) = 20*u(d) - 6*v(d). What is b(c(n))?\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 7:07 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 330 = -162*d - 156 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 103*w**4 - 51*w**4 + 49*w**4 + (0*w + 0*w + w**4)*(1 - 6 + 1).\nAnswer: 97*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.8 + -7.1. Let i = -0.44 + 0.04. Which is the nearest to 0? (a) i (b) o (c) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 + 3*n**4 - 2*n**2)*(2 - 3 + 2) + (-n - 6*n - 5*n)*(-5*n**2 + 3*n**3 + 5*n**2).\nAnswer: -33*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 753.708706 to the nearest 10.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 35. Let z be v(0). Let f be ((-52)\/(-8))\/(4\/8). Let o = 27 - f. What is the highest common divisor of o and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27550453?\nAnswer: 7, 3935779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 3*u + 177, -c - c + u + 101 = 0. Calculate the least common multiple of 66 and c.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11320 rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27276174139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 30.69032 litres?\nAnswer: 30690.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (36\/(-105))\/(((-1188)\/(-240))\/33)\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -12 (b) 4 (c) -4 (d) 0.38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.749898 and 0.14.\nAnswer: -0.10498572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -1)\/(48\/20 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 2. Let x = -6 - l. Suppose x*j - 137 = -g - 3*g, 4*j - 3*g - 191 = 0. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/9 + 13529570*y**2\/9 + 7627054937632*y\/3 + 2542350142592.\nAnswer: 2*(y + 1)*(y + 3382392)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -4, -0.4, -0.0172, -1\/2.\nAnswer: -4, -2\/3, -1\/2, -0.4, -0.0172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 36 = -10*q. Let s be 4\/q*2223\/(-38). What is the third derivative of -27*z**5 - 45*z**2 - 77 + 38 + s wrt z?\nAnswer: -1620*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21438, 21501, 21606, 21753, 21942?\nAnswer: 22173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 442?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 + 0*y**2 + y**2)*(-113 + 231 + 61*y - 114).\nAnswer: -122*y**3 - 8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -133, -562, -1289, -2320, -3661?\n\"Answer: -w**3 - 143*w**2 + 7*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 862 (base 16) to base 7\nAnswer: 6154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.3193129 to two decimal places.\nAnswer: -2.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*s - 93 - 26*s + 13 - 22*s.\nAnswer: s - 80","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 4. Suppose 0 = 3*v + 13 - d, -2 = 3*r + 2*v. Solve r*u - 5 = 3 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 474626 is divided by 308.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(220)*1 - sqrt(220))\/sqrt(10))\/((1*sqrt(539) + sqrt(539) - sqrt(539)) + sqrt(539) + sqrt(11)*2*-4) + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 6*x**2 + 3*x - 6. Give l(-6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5836 + -5698. Solve -6*v + o = 17*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*t - 38, 11 + 47 = 4*t + 5*d. Let p = t - 21. Let v be (-6)\/(-9) - 21\/p. Solve -v*m + 15 = -8*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**2 + j**2 - j**2 - 4*j**2 as y*j + b*j**2 + l and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 6. Let n(p) = -3*p - 4. Let x be n(r). Suppose -y - 716 = -x*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (p + 2 - 2)*(p - 4 + 4) + 0*p**2 - 3*p**2 + 4*p**2 - 344*p + 47*p**2 - 45*p**2 + 2037*p as g*p**2 + b*p + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3317 and 217?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0060126 to 4 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 + 75 = -18*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -119*r - 7. Let g be m(-13). Let j be (-6)\/g*116837\/154. Let t = j + 5\/847. What is the common denominator of 47\/8 and t?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((4 + -4*sqrt(80))**2 - sqrt(45)\/((sqrt(225)\/sqrt(5))\/sqrt(5))).\nAnswer: -6480 + 645*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/25 and -47\/30?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 8*g - 4. Let i be y(6). Let k = 61 - i. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, 22, 1\/3, 7, -14\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 774617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81464161*k - 81464165*k - 81464160*k + 244392488*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -82787076 divided by -4\nAnswer: 20696769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1684384 is divided by 842175?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -197 + 131. Let d = 42 - j. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**4 + 162*r**3 + 1827*r**2 - 10092*r.\nAnswer: 3*r*(r - 4)*(r + 29)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -82363, -82360, -82357?\n\"Answer: 3*s - 82366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 w when two letters picked without replacement from {j: 1, c: 2, d: 2, w: 4, k: 3, z: 3}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14 - (-319)\/44)*(4 - (-114)\/(-27)). Put -0.3, 0.1, m, 5 in ascending order.\nAnswer: -0.3, 0.1, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 365946308 and 48412.\nAnswer: 365946308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -637 - -641. Solve -t*a + 4*g - 24 = 0, 3*a - 2*a - 5*g + 26 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 30 = c, 6*c = 22 - 34 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -686*g**5\/5 + g**4\/2 - 1153*g**3\/3 - 1416. Find the third derivative of x(a) wrt a.\nAnswer: -16464*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 7*z + 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zv when two letters picked without replacement from ryvrvvrrrvzvuuvurrr?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -72*g + 63*g - 54. Let a(j) = 3*j + 6. Determine a(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 595 and 70.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 = -19*r + 4*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**4 - 20*j - 5*j**4 - j wrt j?\nAnswer: -48*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -63923 and -127845\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/4*(-2)\/3. Let d(i) = 3*i**2 + i - 1. Let v be d(u). Suppose -3*m + 3*t = -3, 0 = 3*m + 3*t + t - v. Which is bigger: m or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 u when two letters picked without replacement from {u: 4, r: 1, k: 5}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3819168.\nAnswer: 2, 3, 89, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 0.2, -0.54, -0.4, 0.4, -0.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 m when four letters picked without replacement from {x: 8, m: 5}?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**2 - 1226. Let l(x) = 2*x**2 + 488. What is l(z(u))?\nAnswer: 8*u**4 - 9808*u**2 + 3006640","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 0 - 2*l + 0*l - l**2 - 6. Let q be j(-5). Let u = 1 - q. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**2 - 2*h**5 - 2*h**2 + 6*h**3 - 6*h**3 - 2*h**5 + (h**3 - 1 + 1 - 2*h**2)*(18 - 18 + 17*h)*(213 - 213 + 8*h).\nAnswer: 132*h**5 - 272*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -57136000 to the nearest 100000.\nAnswer: -57100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 796\/7 + -113. Is -1 not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/7)\/(((w*w**(-2)\/w)\/w*w)\/w))\/(w\/(w\/w**(-3)*w)*w**(2\/19)))**20 assuming w is positive.\nAnswer: w**(17580\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 494257957 to the nearest integer?\nAnswer: 22232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 437351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/7 (b) 2\/33 (c) 4 (d) 2.141 (e) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/190944 and 1\/7140?\nAnswer: 6683040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5040201 (base 6) in base 4?\nAnswer: -322033021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1907 - -1968. What is the remainder when 86 is divided by b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**3 + 5*d**2 - 5*d. Let a(t) be the second derivative of 0*t**2 + 6 + 1\/10*t**5 - 2\/3*t**3 + 1\/3*t**4 + 4*t. Calculate 5*a(i) - 4*v(i).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 328 + -218. Does 9 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*z - 2. Let v = 16 + z. Suppose 2*d + 5 - v = 0. Calculate the least common multiple of d and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4*h**3 - 20*h**2 - 24*h - 3. Let w(r) = -r**3 + r**2 + r + 1. Let y(o) = -j(o) - 5*w(o). Let q be 1 + -1 + (-12 - 1). Is y(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3352\/13 + 258. Which is the second biggest value? (a) 0.1 (b) 1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 246 divided by -1\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-6)*-1 - -1)*9. Suppose 180 = -m + 2*f - 71, -3*f - p = 0. Is m greater than or equal to -256?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8112060 rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 969195480?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 1160 divide 3629521189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*u**4 + 57*u**2 - 1930*u - 10849863 wrt u?\nAnswer: 48*u**3 + 114*u - 1930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -230, -460, -690, -920, -1150, -1380?\nAnswer: -1610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z**2 - 18*z + 22. Determine c(6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 4 = -10 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 7:44 AM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 2201202?\nAnswer: 2201201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 268732016 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 46, 22, -20, -86, -182, -314?\nAnswer: -488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/20 of a hour?\nAnswer: 180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7\/6*o + 5\/3 + 1\/6*o**2.\nAnswer: (o - 5)*(o - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**9\/h**6)\/(h\/(h**(2\/3)*h))**(8\/7))**(5\/11))**(-36) assuming h is positive.\nAnswer: h**(-4740\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -1116*c**2 - 1704*c**2 - 698*c**2 + 439*c**2 - 2677*c**2 in the form i*c**2 + x*c + u and give i.\nAnswer: -5756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -n - 188, a + a = -5*n + 86. Let c = a + -34. What is the remainder when 9 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 27659, 55297, 82941, 110591?\n\"Answer: 3*j**2 + 27629*j + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*r + 7*r + 2*k + 72, -r - 5*k = -7. Suppose 12*y - r*y = -1875. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13554 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 560\/11981 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 46 - 484*j + 24 + 26 + 31. Is a(-25) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/((-2)\/6*-2). Solve -h = -2*d - 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (324\/(-8370))\/(((-6)\/70)\/((-46)\/161))?\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 90929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 20 - 121 + 2*m**2.\nAnswer: 2*m**2 - 156","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 818460?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 2:12 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - (-2 + 9)) + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/((-288)\/(-9)))\/(15\/145*3\/9).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2130 (base 4) to base 5.\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/93299 and 21\/40154.\nAnswer: 3172166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30118754?\nAnswer: 2, 1997, 7541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/20 and -7 + 2 - 168\/64.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 4*o. Suppose -5*k = 5*f - 15, 0 = 5*f - 3 - 2. Let q(j) = -62*j**k + 122*j**2 - 61*j**2. Give q(b(w)).\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 6 = -9*k. Solve k + 14 = 5*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 35, 75, 101, 107, 87, 35, -55, -189?\n\"Answer: -w**3 - w**2 + 50*w - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 600149354*z - 521474154 wrt z?\nAnswer: 600149354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -29*i**6\/6 - 3211*i**3\/6 + 1443*i. What is the second derivative of j(x) wrt x?\nAnswer: -1740*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(2\/3))\/o)**(5\/8)*(o*o*o**2)**37)**(-21) assuming o is positive.\nAnswer: o**(-12397\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1602 (base 9) to base 3.\nAnswer: -1200002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1866 and 0.666?\nAnswer: 1242.756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 127 + -76. Suppose 0 = -k + 45 + r. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -10, 5, 2\/13, 50.18 in ascending order.\nAnswer: -10, -0.5, 2\/13, 5, 50.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -4*h**3\/3 - h**2 - 2*h + 77. Let g(k) be the first derivative of 5*k**3\/3 + 3*k**2\/2 + 3*k + 22. Determine 2*g(p) + 3*n(p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 67 - 34. Let v = 82 - 79. Let r = x + v. Is 14 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 170\/19 (b) -1 (c) 1\/4 (d) 54 (e) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**2 - 7*k - 7. Let l(m) = -m**2 + 4*m + 4. Let x(u) = -4*d(u) - 7*l(u). Let j(w) = -3*w**2. What is 3*j(p) - 5*x(p)?\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 62*v**2 - 72*v + 659. What is the units digit of r(-61)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a second in milliseconds?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.436 + 1.436. Which is the closest to s? (a) 0.7 (b) -3.1 (c) -0.3 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-6))\/(36\/120*-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + -9 + -17 + -52 + -26.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -585 by 9.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (2 - -5) + -10 - (-51 + 37).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 3:13 PM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fckkf. Give prob of picking 1 k and 1 c.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t + 5*t - t)*(37*t + 34 - 71*t + 32*t) to the form k*t**2 + b + a*t and give a.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3119 is divided by 928?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1510.43708 rounded to the nearest 10?\nAnswer: -1510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -5 - -6 - (-1 - -2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2550\/170*((-306)\/18)\/(-102)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 8:48 AM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -66 + 54?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 42982929 to the power of 1\/3, to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.01 (b) 107 (c) -5 (d) -4 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1700)*1 + sqrt(1700)*1 + -1)**2 + 2.\nAnswer: -120*sqrt(17) + 6811","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + 12. Let d = 19 + -7. Calculate the remainder when k is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + -1 + 5866 + 4. Suppose 0 = -0*a + 6*a - w. Let n = a + -559. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 36 - 36 = 0. Solve i - 7 = x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c6 (base 13) to base 6.\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46585*a**3 - 22764*a.\nAnswer: 279510*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/3 or 0.1514?\nAnswer: 0.1514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - 8)\/(2\/(-4)). Suppose -3*c - 712 = -4*m - 264, 2*m - c = 222. Suppose 4*p + b = 3*o - m, 0 = 3*o + 5*p - 86. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) 0.2 (b) 11\/4 (c) -402\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -101.4 to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/53456 and -63\/226928.\nAnswer: 58320496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 11) in base 2?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104052 and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76895.\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -1 + 3*c + 1. Let j(r) be the first derivative of 3*r**2 + 12 + 3*r**2 - 9 - 4*r**2. What is -3*h(d) + 2*j(d)?\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 2*i**2 + 3*i + 3. Let g be f(3). Suppose 5*d + 15 = 4*s, g*s - 8*d + 5*d - 12 = 0. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 7:41 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 38*o + 41. Let f be a(38). Suppose -f*h + 7 = -48*h. Are h and 4\/15 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 927, 1861, 2795, 3729?\n\"Answer: 934*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 507.45279 and -1.2463.\nAnswer: 506.20649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30.7 + 30.551. Let l = u + 0.049. Let a(s) = -s**2 - 15*s + 13. Let k be a(-16). What is the closest to k in 1\/5, -2, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 4*h, 0 = 3*c - 2*h + 5*h for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -245*u**4\/3 + 2975*u**3\/3 - 85*u**2 - 645*u - 180 = 0.\nAnswer: -3\/7, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*-2*5\/(-10). Let k(o) = -3 + 1 + 2 - 2 + 6*o. Let c be k(j). Sort c, -7, 0.\nAnswer: -7, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -y**6\/120 - 2*y**5\/5 - 5*y**4\/4 + y**3\/6 - 53*y**2. What is the hundreds digit of k(-23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1871141.\nAnswer: 907, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -j - 0*k + k, 0 = 2*j + 4*k - 20. Suppose -5*m - 3*n + 23 = 0, n + j + 9 = 3*m. Calculate the smallest common multiple of 4 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 3*l - 4. What is the lowest common multiple of r(-2) and (-10)\/(2 - (1 + 2))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4635263881 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 h when two letters picked without replacement from {s: 2, n: 1, i: 1, h: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 11*l - 7 + 2.\nAnswer: 11*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*3\/5 + 83\/5. Solve 3*k = -2*m - h, 0 = 2*m - 6*k + k for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -818, 1\/4, 0.6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1168, -1166, -1164, -1162, -1160, -1158?\nAnswer: -1156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 1) + 1 + 3 + 3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 156 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 10*h**2 - 2*h - 18. Let y(o) = -o**3 - 7*o**2 - o + 20. Let n be y(-6). Let b be j(n). Solve -1 + b = m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03270681 to 4 dps.\nAnswer: 0.0327","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/1288, -0.3, 1\/3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109 = -3*f - 1. Let d = f - 38. What is the common denominator of ((-10)\/d)\/((-24)\/12) and 33?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of w**7\/105 - 7*w**6\/180 - w**5\/30 - w**3 - 1. Let j(v) be the third derivative of g(v). Let j(r) = 0. What is r?\nAnswer: -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.2 (b) 0.1 (c) 3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -9. Suppose 0*v + v - 4 = 0. Suppose -k + 221 = i*q - 46, -v*q + 218 = 3*k. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23336 equal to -23335?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 127. Calculate the least common multiple of 28 and i.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 4\/7*p**2 - 12\/7*p**3 + 0 + 8\/7*p + 4\/7*p**5 - 4\/7*p**4 = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 350350398 to the nearest one million.\nAnswer: 350000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 160\/61 at most as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 140\/(-1085)*(-3)\/(-2)*(-7)\/(-42)?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/9 - 4*s\/9 + 32\/3.\nAnswer: -2*(s - 6)*(s + 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*c**3 + 215*c**2 - 22*c**3 - 43*c**2 - 2 + 45*c**3 - 5*c**4 in the form d*c**3 + w*c + k*c**4 + m*c**2 + a and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkqk when four letters picked without replacement from qqkkkkkk?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39 and 111?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9464019ml?\nAnswer: 0.0009464019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -7*s - 2. Let a be 296\/(-36) + 2\/9. Does 10 divide b(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-364)\/(-6) - -2*2\/(-6). What is the highest common factor of p and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177274398.\nAnswer: 2, 3, 7, 4220819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -57, -126, -233, -384?\nAnswer: -585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24216 and 28?\nAnswer: 169512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.7872 minus -360259?\nAnswer: 360224.2128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 247 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**2 - c**5 - 2*c**2 + (-1878*c**2 + 1878*c**2 - 118*c**3)*(3*c**2 - 4 + 4).\nAnswer: -355*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 39864 = -4*c, -20*c + 4 = -19*c. Is m a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 221 = 199. Calculate the remainder when d is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 2*v - 3*m, 3*m - 4 = v - 19. Calculate the smallest common multiple of v and 22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39200 = 27*f - 47*f. Is f a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-108)\/10*15\/(-6). Suppose 2*y - 25 - l = 0. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1902371*l**2 + 1037879 wrt l.\nAnswer: 3804742*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1*sqrt(3) + -2*sqrt(3) + 3.\nAnswer: -3*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2962 greater than or equal to 2962?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 404070269 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2837222 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -44, -92, -172, -284, -428?\n\"Answer: -16*a**2 - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.0347 (b) -97 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 210*w**3 + 6*w**2 - 22349 wrt w.\nAnswer: 630*w**2 + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 12*m. Let b(a) be the second derivative of -5*a**3\/6 - 19*a. Calculate b(g(n)).\nAnswer: -60*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 1110 = 5*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 27?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52*w + 38*w**3 + 52*w)*(-4 - w - 2 + 5).\nAnswer: -38*w**4 - 38*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -11*l + 149. Calculate y(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**4 + 487*a**3 + 2058*a**2 + 632*a.\nAnswer: a*(a + 4)*(a + 158)*(3*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 84 = -9*u. Suppose -u = -v - 5. Solve 0 = -6*a + v*a + 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -45768000 to the nearest 100000.\nAnswer: -45800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 5. Suppose f*b - 11*b + 75 = 0. Let t = 48 - b. What is the greatest common divisor of 22 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -8*h - 214. Let o be r(-27). Put 4, -6, -1, o in decreasing order.\nAnswer: 4, o, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 180960942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -115172.0404 rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -659 - -695. Sort q, -0.3, -2\/9.\nAnswer: -0.3, -2\/9, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 e when three letters picked without replacement from ceecb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -4\/11, 1\/9, 1?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1176.8688 + 1176. Let k = v - -1.9691. Let g = -1.1 + k. Round g to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1381 - 1380.149. Let z = -0.231 + w. Let v be ((-92)\/(-45) + -2)*-5. What is the second biggest value in -5, z, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 1318 = -1313, 3*f = -3*l + 3 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -g**8\/33600 + g**6\/3600 - g**4\/8 + 5*g**2. Let f(u) be the second derivative of t(u). Solve f(b) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8915, -17501, -26089, -34679, -43271?\nAnswer: -51865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/2)\/((-5)\/(-20) - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 - 12*a + 14. Let f be c(-12). Let v be f\/1 + -3 + -3. Solve 4*d - k = -19, -5*d + 0*k - 4*k - v = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 64 = -2*c, -1390440 = 2*s + 13*c - 1390380 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -2*r**3\/3 - 2. Let p(m) = -3*m. Give i(p(n)).\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1507, -4, -2, -1 in decreasing order.\nAnswer: 1507, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1795*l**2 + 220*l**2 - 691*l - 685*l + 1492*l**2 + 1274*l**2 wrt l?\nAnswer: 9562","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**4 - 217138*f**3 + 216676*f**3 + 1 + 3*f**4 - 3*f**2 as n*f**4 + q*f**3 + l*f**2 + u + r*f and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 642 is divided by 152.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1*(0\/(-3))\/(-7))\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 67734 and 636.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -32, 1\/2, -13\/3, -1\/24, -2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**3 + 26487*g**2 - 58476672*g + 58450188 = 0. What is g?\nAnswer: 1, 4414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1179)\/(-655))\/((-42)\/(-10))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 16. Suppose -r = -c + 1. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7104 divided by -74.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 4*g - 38, 9*q + 12 = 5*q. Suppose -g*y + 7*y = -12. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 17*f. Suppose -55 = -5*r - 5*o, 2*r - r - 11 = 2*o. Let w(p) = 6*p. Calculate r*w(n) - 4*h(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s - 2320 - 1095 + 0*s + 662.\nAnswer: -3*s - 2753","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t + 0 + 0.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g + 10. Let i be 102\/5 - (2 - (-16)\/(-10)). Suppose -3*u = p + 18, 2*u - i - 2 = 5*p. Is 4 a factor of f(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**3 + 3*k - 2. Let j be u(1). Let v be j\/(1 - (-42)\/(-39)). Let t = 18 - v. Solve 0*l = -t*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/25898 (b) -1\/5 (c) 1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -4 (b) 0.6 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 161, 106, 7, -142, -347, -614?\n\"Answer: -n**3 - 16*n**2 + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 1388*o. Let w(g) = g**2. What is p(w(q))?\nAnswer: 1388*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 373766675?\nAnswer: 5, 17, 23, 38237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 + 1)*3\/9. Let c = a + 3. Let z = c - 1. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - -27 - 3\/(3\/2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggi when three letters picked without replacement from {i: 1, g: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p**2*q**3 - 3*p**2*q**2 + 190*p**2*q + 2*p*q - 5*q**5 wrt q?\nAnswer: 6*p**2*q - 6*p**2 - 100*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2328 and 3095464?\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) 5 (c) -1\/4 (d) 0.2 (e) -51\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.23 - -0.4. Let p = -0.07 + h. What is the nearest to -1 in -2\/5, -5, p?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 5*c + 421, -9*o + 5*c = -4*o + 1060. Let t = -181 - o. Solve -5*k - 4*y = t, -6 = k + y + 1 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z**3 + 10*z**2 + 25*z = 0. What is z?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.04 and 188881043.75.\nAnswer: 188881043.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -0.4, -0.04?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t - 1. Let r(j) = -289*j - 7. Let h(f) = 2*i(f) - r(f). Is h(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 36*k + 30*k - 63*k. Let y(i) be the first derivative of 5*i**2\/2 - 3. What is -7*x(t) + 4*y(t)?\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of s**2\/2 - 111. What is z(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335945?\nAnswer: 5, 67189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -5) + -4 - -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15 - -2 - (12 + -8). Solve 0 = -6*z + y - 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/9 - ((-10)\/3 + -2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = k - 15, 2*d + 3*k = 129. What is the greatest common factor of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001262 to 4 decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -23640*o + 1777. What are the prime factors of a(-3)?\nAnswer: 139, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**2 - v**2 - 2*v**2 + (-7*v + 3*v + 3*v)*(0 - 2*v + 0) + (0*v + 0*v + 2*v)*(853 - 1925 + 696)*(2*v - 2 + 2) to b*v**2 + j*v + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4240620.29 rounded to the nearest one hundred thousand?\nAnswer: -4200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10057 is divided by 5028.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-4)*a**19 assuming a is positive.\nAnswer: a**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -u**3*v - 234*u**2*v - u*v - 275*u - 1 wrt u?\nAnswer: -6*u*v - 468*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1091?\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -204 divided by 218?\nAnswer: -102\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 + -7)*((-10)\/(-6) - 1). Let v(c) be the third derivative of -5*c**4\/24 + c**3\/3 + 14*c**2. Calculate the lowest common multiple of v(u) and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16333?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**2. Let a(d) = 179*d. Calculate a(i(y)).\nAnswer: -358*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 65 * -32363\nAnswer: -2103595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(0 + -2 + -1 - 0).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/12)\/(2\/(-120)). What is the units digit of ((-2)\/(-2))\/((-3)\/n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3120 divided by 6?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*q + 2*l = 52*q + 710628, 4*q = -l + 710624. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73839961, -73839970, -73839979, -73839988?\nAnswer: -73839997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 481 (base 14) to base 8.\nAnswer: 1601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.284444 - 7.871254?\nAnswer: -8.155698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 0.0293.\nAnswer: -3, 0.0293, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**3 - 5*q**2 - 8*q - 4. What is the tens digit of g(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 7948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -1. Let q(d) = 6*d + 16. Let n(b) = q(b) + 6*s(b). What is the remainder when n(11) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**2 - 41302*k**3 - 51 + 41293*k**3 + k**2 in the form z*k**2 + i + j*k + f*k**3 and give i.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 - -2753) + (80\/(-10) - -4)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 72 + 7*q**2 - 4*q**2 + 6 to the form f*q**2 + d + z*q and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.146 and 477.1527?\nAnswer: 477.0067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -53*v + 0*v**2 + 2 + 48*v + 2*v**2. Let n be y(3). Find the second derivative of -n*u + 166*u**3 - 169*u**3 + 22*u wrt u.\nAnswer: -18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 139640566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9442079177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -17. Let u be (-82)\/8 - 3\/j. What are the prime factors of 212\/18 + u\/(-45)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*((1 - -1) + -1). Let o(w) = -1153 + 2348 - 1196. Let u(v) = -10*v + 2. Calculate i*o(x) - u(x).\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of -v**10\/5040 - v**9\/1680 - v**8\/2240 - v**4\/3 - 3*v. Let z(d) be the third derivative of w(d). Factor z(h).\nAnswer: -3*h**3*(h + 1)*(2*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of 6*z**7\/35 - 3*z**5\/20 + 17*z**2. Find the third derivative of s(n) wrt n.\nAnswer: 864*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -19. Let r = k + 12. Which is the second biggest value? (a) r (b) -0.4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -215 + -143. Let b = 5372\/15 + c. Let s = -0.066 + -0.934. What is the nearest to 1 in 2, s, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -8*z + 79. Calculate the remainder when 63 is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 times -0.075?\nAnswer: -3.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2 - 2*d + 1. Let f be j(2). Suppose -a - 6*v = -4*v + 1, -4*a + f = 5*v. Let t(w) = -w**3 + 5*w**2 - 4*w + 3. Calculate t(a).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 536958894?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 330?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j**3 + 31*j**3 - 196*j - 5*j**3 - j**3 - 9*j**3 - 7*j**3.\nAnswer: 3*j**3 - 196*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xihdb. What is prob of sequence bd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 13\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -65 + 37. Let a = 136 + y. Is 28 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 229390 to the nearest ten thousand.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 398 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2 + 52*j**2 - j - 55*j**2 + (-1 + 0 + 3)*(0*j**2 - 2*j**2 + j**2 + (0*j**2 + 0*j**2 - j**2)*(-1 + 1 - 4)).\nAnswer: 3*j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -5*x**7\/2 - 155*x**3\/6 - 425*x**2. Differentiate o(t) with respect to t.\nAnswer: -2100*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2\/4 + 10563*d - 10182231\/4.\nAnswer: 3*(d - 237)*(d + 14321)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + -20*4\/(-8). Let u = m - -19. Do 26 and u have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - (0 + -36 + 19)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 29*s**2 + 211*s + 35. Give a(9).\nAnswer: 314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.05 + -7. Which is the third biggest value? (a) -0.4 (b) f (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172362 is divided by 43087.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.5134 millennia in centuries?\nAnswer: 605.134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 9. Suppose 8 = 2*u + 4*z, -2 = -5*z + 3. Let q = x + u. Calculate the remainder when 19 is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zr when two letters picked without replacement from grzsbtttgsztzgt?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -115400, -114088, -112776, -111464?\n\"Answer: 1312*a - 116712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**2 + 10*z - 26. Let y be -3*6\/((-108)\/(-42)). Let i be j(y). Solve -v - 13 = 4*v + 4*s, i*v + 4*s - 2 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyvtvvvyvhzvh. What is prob of picking 1 t and 2 y?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of 0 + 0*b**3 + 33*b - 11\/60*b**4 - 1\/150*b**5 - 2*b**2. Let y(z) = 0. Calculate z.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -21*q + 84. Calculate l(12).\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 31\/6 of a year?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i*i*i**(2\/19)*i)*i*i\/(i**(-12)\/i*i)*i*(i*(i\/((((i\/((i*i**7*i)\/i))\/i)\/i*i)\/i*i))\/i*i)**(2\/19) assuming i is positive.\nAnswer: i**(265\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(1408\/165 + -8). Solve 8*x = 5*x - m for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 86, -43, 2, -37 in decreasing order.\nAnswer: 86, 2, -37, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39819606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(sqrt(300) - ((sqrt(300) - (-2*sqrt(300) - sqrt(300) - sqrt(300)) - sqrt(300)) + sqrt(300))))\/(-1*2*sqrt(12)*-5).\nAnswer: -sqrt(2)\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44217 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 8\/((-8)\/(-345)) + -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 5*m**2 - 3*m**2 + m - m**3 + 0 - 3*m**2 - 4. Let l be b(6). Let t = -135 - l. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 1.2. Let g = -76 + 74. What is the second smallest value in q, -1, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**2 + v**4 - v**2 - 2*v**4 + (-v**3 + 3*v**3 - 3*v**3)*(v - 2*v + 3*v) + 35*v**4 + 31*v**2 - 31*v**2.\nAnswer: 32*v**4 + v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 245 + -165. Let y(w) = -25*w. Let t be y(2). Let n = u + t. Calculate the remainder when n is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3120)\/650*5\/3\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*3*-16*21\/756.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l - 5 + 5)*(3 + 1 - 5).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (26\/(-78))\/(3\/(-2)). Let g = -25\/84 - -1\/21. What is the third biggest value in w, g, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2*x - 2, 6*v - 9*v = x - 11. Suppose -v*f = 15, -3*o - 2*o + 25 = 5*f. Suppose -2*i - 2*i + 3*h - 42 = 0, -i - o = -2*h. Is -11 <= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 51885?\nAnswer: 103770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*f = 55*f + 59*f + 96 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9.31 and -0.2.\nAnswer: 1.862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - -1)*(-16)\/(-24). Let m = 3 - 0. Solve -5 = -m*l + x*b - 20, 4*b = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -251925*g*i**2 + 2*g*i + 565461*g wrt i?\nAnswer: -503850*g*i + 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q + 3 = -13*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 7 + 5 - 928*o - 11. Let z be i(-1). Suppose c + z - 9 = 0. Round c to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 125 (b) -158666 (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1973 and 75.\nAnswer: 2048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**3 + 7*g**2 - 10*g**2 - g**3)*((0*g - 2*g + 0*g)*(-2*g + 0*g + 4*g) + (4*g**2 - 6*g**2 + 3*g**2)*(-5 + 2 + 2) - 2 + 3*g**2 + 2).\nAnswer: 2*g**5 + 6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 22. Suppose -5*w - v = -8*w. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42593 to the power of 1\/2, to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5643?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of 1\/5*q**6 - 1\/20*q**5 - 1\/4*q**4 + 0*q**3 - 3*q**2 + 0*q + 0 - 1\/14*q**7. Factor w(o).\nAnswer: -3*o*(o - 1)**2*(5*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*-3*(4 - 5). Let j(l) = 2*l - o*l + 3*l. Let x(d) = -d. Let c(s) = -8*s. Let p(h) = 2*c(h) - 20*x(h). Give p(j(z)).\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.06*-17\nAnswer: 1.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**3 + 9*o**2 - 24*o + 6. Let f be h(11). Round f to the nearest one hundred.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(2 - (-1)\/(-1)). Let u = h - -7. Suppose -3*q - 3*c - 2*c = -19, 5*q = -2*c + 57. Calculate the lowest common multiple of q and u.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3091239 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 60*f - 25. Let i(k) = -5*k + 2. Let g(x) = 75*i(x) + 6*m(x). Let n(c) = -c**2. Give n(g(q)).\nAnswer: -225*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v + 3. Suppose r = 4*x + 15, 4*x = 10*r - 6*r - 12. Let b(s) = s + 2. What is x*y(k) + 5*b(k)?\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**35*(f\/(f**(-19)\/f*f))\/f)\/(((f\/f**(3\/16))\/f)\/(f\/f**(-21))) assuming f is positive.\nAnswer: f**(1219\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/(-21) + 1 + 0. Let n = -0.2 - -0.1. What is the third smallest value in 1, n, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -82.8 to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**2 - 4*f + 14. Determine x(7).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -2. Let g be 35\/15 + (-2)\/n. Suppose 0*b = -g*b - 10. What is the biggest value in b, 5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 5*t + 40 = 0, -5*m - 17*t = -10*t - 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236254 is divided by 736.\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 9:48 PM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1095 a factor of 31920599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2*(-3)\/(-3))\/(1\/(-2)). Suppose -2*k + 8 = -y*k, 0 = d - 3*k - 97. What are the prime factors of d?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 542*l**3*r**2 + 3*l**3 - l**2*r**2 - l*r**2 + 35*l*r + 2*l - 2*r**2 - 2*r - 308 wrt r.\nAnswer: 1084*l**3 - 2*l**2 - 2*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (5 - (-3 - -13))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -380 - -380. Which is the biggest value? (a) 10 (b) x (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of u**3\/3 + 26*u**2 + 676*u + 8. Factor a(b).\nAnswer: (b + 26)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -4, 22, -3, 5, 8.\nAnswer: -4, -3, 5, 8, 11, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, k: 1, c: 1, a: 1, d: 1}. What is prob of sequence ckad?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 4abbd?\nAnswer: 4abc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 487 and 974.\nAnswer: 974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-12\/7)*n)\/(n*n**(2\/61)))**(1\/7) assuming n is positive.\nAnswer: n**(-746\/2989)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103774 is divided by 3840?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2011223020 - -11?\nAnswer: -2011223003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 54 - 30. Suppose -2*a + 10*a = t. Suppose -3*r + 372 = a*r. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 557137 is divided by 139282?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -6*t**2. Let b(k) = 10*k - 35. Let o(r) = -r + 4. Let i(d) = -4*b(d) - 35*o(d). Determine i(f(l)).\nAnswer: 30*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25661 is divided by 177.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 237.39 (b) -0.4 (c) 9 (d) 3 (e) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**7)\/(m*m\/m**(3\/2)))**46\/((m**8*m)\/(m*m**5))**(-8\/13) assuming m is positive.\nAnswer: m**(-3863\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 2c?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 69\/364 - 1\/28. What is the second smallest value in -2\/15, j, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 123293142 to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 219553, 219554, 219555, 219556, 219557?\nAnswer: 219558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 19*p - 12 = 16*p, 4*p = 2*r + 16 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8*(-3)\/(-60) + 6399\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r**2\/3 + 24800*r - 148820\/3 = 0 for r.\nAnswer: -14882, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 10:05 AM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 133 and 513?\nAnswer: 3591","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 5. Let y be (1*q - -1)*0. Suppose -3*g = -y*g + 6. Sort g, 1, 4 in decreasing order.\nAnswer: 4, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -27\/4, 19, 8, -0.3, 2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 less than 0.061340941?\nAnswer: 1.161340941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52692*a**2 - 52692*a**2 - 19*a**3.\nAnswer: -19*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -209*a**2. Let t(x) = 8*x**2. Let c(l) = -77*t(l) - 3*w(l). List the prime factors of c(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 17, q: 2}. Give prob of sequence qq.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**4 - g**4 - g - g + 0*g**4 + g**4 + g**4 + (-3*g - 2*g**3 + 3*g)*(3 - 2*g - 3).\nAnswer: 7*g**4 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.62342 months in decades?\nAnswer: 0.0635285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*k = 23 + 39 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 13*y**3 + 3*y**2 - 5*y - 1. Let v be h(3). Suppose 0 = -3*t + 2269 + v. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -79, -442, -1523, -3682, -7279, -12674, -20227, -30298?\n\"Answer: -60*i**3 + i**2 + 54*i - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-14) - (-419)\/(-838)*(-2)\/12*0.\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 40*j**2 - 236*j - 18. Give i(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 15*b - 612. Suppose -b*x + 19540 - 4420 = 0. What are the prime factors of x?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*q + 245*q**2 - 1996*q**2 - 34*q.\nAnswer: -1751*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m**3 - 30 - 3*m**3 + 30.\nAnswer: -10*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -7412499*j**3 + 4*j**2 - 3*j - 14. Let l be w(-2). What is l rounded to the nearest one million?\nAnswer: 59000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -946497*m**3 + 27*m - 8954.\nAnswer: -5678982*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 7*l**2 + 15*l + 13. Calculate x(-9).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*l - 14*l - 60*l + (-2*l + 0 + 0)*(-4 + 3 - 2) - 1 + 2*l + 1 + 2*l + 2 - 2 + (1 + 2 - 1)*(-4*l + 0*l + 2*l) + 0 - 2*l + 0 to k + j*l and give j.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 447011480 a multiple of 152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 67, 116, 181, 268?\nAnswer: 383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2921 (b) -14 (c) 0.4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**2\/2 - 19*n + 68 = 0. What is n?\nAnswer: 4, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + (-37618)\/(-70) + (-2)\/5. Calculate the highest common factor of m and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + -2*sqrt(77))*-5 + sqrt(77) - sqrt(77))\/(sqrt(11) - -1*sqrt(11)*6).\nAnswer: 5*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -192*16.85.\nAnswer: -3235.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 2*x - 14. Calculate the lowest common multiple of 7 and a(6).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 5*a**2 + 7*a - 4. Give p(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8986719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 y, and 1 a when three letters picked without replacement from {w: 1, s: 2, a: 1, y: 1, p: 1, i: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**3 - 11*t**2 - 5*t - 11. Determine h(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -741 - -757. Suppose 3*x - 5 = 13. Suppose -72 = -x*s + 3*s. What is the greatest common divisor of s and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 + 0.2. Let o = -218 + 248.73. Let f = o - -3.27. Which is bigger: f or r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 863 + 76.72499.\nAnswer: 939.72499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 + -11. Suppose 26 = 2*u - c. What is the highest common factor of u and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1176 divided by 6.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96 = -3*p + 3*k + 120, 7*p - 13*p = -4*p - 48*k - 246 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -4*p**2 - 85*p + 624. Calculate z(-27).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1024 + 4215*n + 1024.\nAnswer: 4215*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7621.\nAnswer: 7621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) 1288 (b) 5 (c) -5\/3 (d) -2 (e) 1 (f) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooouooooouoooooooo. What is prob of picking 1 u and 1 o?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 41552 (base 15) to base 8\nAnswer: 624345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.17 - 0.97. Let z = -3\/23 + -11\/92. Let c = -4 + 4. What is the closest to h in c, -0.5, z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(4\/2)*17. Suppose -4*s = -s - f. Suppose -s = -3*z - 8. Solve -z*t - 3*u + 4 = -5, 2*t - u = 9 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-12))\/((-3)\/18*1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3696*t - 3696*t + 53 - 2*t**2 - 54*t**3 + 46 wrt t?\nAnswer: -162*t**2 - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 3:36 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 622*l - 626*l = 9*v - 47, -4*v = l - 6 - 11 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(320) + -5 + sqrt(320))*1 + -1 + 1.\nAnswer: -3 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert ad3c5 (base 14) to base 13.\nAnswer: 119594","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, i: 1, h: 7}. What is prob of picking 1 h and 1 i?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(130) + 3*sqrt(130)*2))\/((sqrt(70) + sqrt(70)*1*2 + sqrt(70))\/sqrt(7)).\nAnswer: -7*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -126 + 176. Suppose 0*o = 6*o - 300. Suppose -2*z + n = -o. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 35*v = -4*g - 37*v - 22, 20*v = -3*g - 112 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 33*q**2 - 16*q - 49 - 69*q**2 + 40*q**2. Let g be s(-6). Suppose -4*c + 278 = -5*m, 0*c = -3*c - 5*m + g. Is 6 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.45587 * -2.08\nAnswer: -11.3482096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 13780 divided by 279\nAnswer: 13780\/279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-45))\/(1\/(-18))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*r - r + r)*(-6*r**2 + 2*r**2 + 0*r**2) in the form n + x*r**2 + p*r**3 + f*r and give p.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*j + 2*j + 0*j)*(1 - 1 - 2) + 2*j - j + 0*j)*(-4*j**2 + 5*j**2 + 14*j**2).\nAnswer: -45*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7475*j**3 - 59769*j**3 - 29716*j**3.\nAnswer: -96960*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2640*o + 140. Let a(t) = 220*t - 12. Give -35*a(g) - 3*s(g).\nAnswer: 220*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 2*a, 3*y + 2*a = -2*a. Let h = -8\/133 - -542\/13433. Which is smaller: y or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y**5\/y))*y\/(y*y\/y**(-2\/7)*y))**(-32)*(y**(-6)*y**6)**21 assuming y is positive.\nAnswer: y**(-384\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.752 - -1.749. Let o = -0.617 - -1.12. Let n = o + g. Which is the closest to -1? (a) -4 (b) 4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - -3. Let o = 253 + -236. Calculate the remainder when o is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38 by -6184.\nAnswer: 19\/3092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0)**(-29)\/(b\/b**(4\/9)*b\/(b*(b**9\/b*b)\/b*b)*b) assuming b is positive.\nAnswer: b**(67\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 - 48. Suppose -4*t - t = -3*y - 562, 8 = -2*y. Let j = t + n. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = d - 6*d, -4*s + 24*d = 511 - 571 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 11) to base 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in meters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of o**3\/6 - o**2\/2 + 20*o. Let s = -1134 - -1139. Let b(g) = -g + 0*g - 8 + 5*g. What is s*k(x) - b(x)?\nAnswer: x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-7) - (-26)\/7. Suppose -2*o + 2*v - 380 = 0, 2*v + 746 = -4*o - v. Let r = -185 - o. Solve 0 = g*f + r*s + 8, -4*f + s = 2*s for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 24*f + 62. What is h(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**3 - 8462*i**2 + 8464*i = 0 for i.\nAnswer: -4232, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 4:00 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, 88, -291?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -6 - -5 - (14 + -21 + 25)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 246 by 278008.\nAnswer: 123\/139004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -908 = -7*h + 3*h + 4*n, -h - 3*n = -243. Suppose 5*g = -2*k + 867 - 5114, g - k + 848 = 0. What is the common denominator of -11\/5 and (-1)\/(-7) - g\/h?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a. Let m(j) be the third derivative of -j**5\/60 + j**4\/12 - j**2. Determine -6*g(b) - 3*m(b).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16163 = 5*l - 5*o + 9*o, 2*l - 6485 = 5*o. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of v**4\/3 - 670*v**3 + 2008*v**2 - 13573*v. What is b in n(b) = 0?\nAnswer: 1, 1004","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-9))\/((-4)\/6). Suppose 0 = 3*m + u + 4, 2*m = 5*m + 4*u - 2. Let p be (-3)\/m*20\/6. Solve -p - s = 3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9173308967 rounded to five dps?\nAnswer: 0.91733","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, n: 5, j: 4, t: 1}. What is prob of picking 2 n, 1 t, and 1 i?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -7*y**3 + 2*y**2 - 2*y - 2. Let g be t(-2). Let b = g + 34. What is the highest common divisor of 40 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42250 and 250.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -3, -53 in increasing order.\nAnswer: -53, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -14*b + 1032. Calculate s(73).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 4*j = -35, -2*d + 27*j = 26*j - 12 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.6 - -0.5. Let x = 0.09999993 + p. What is x rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j + 8. Let p be u(-8). Solve p = y - 2*y - 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/10*1*(2 - -3). What is the common denominator of ((-2)\/(-18))\/(b + (-242)\/(-122)) and ((-21)\/10 + 2)*-86?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/6*((-90)\/12)\/1. Find the second derivative of 14*j**5 + 13*j + 4*j**4 + j**4 - k*j**4 wrt j.\nAnswer: 280*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 4*p + 5, o + 2*p + 9 = 16. Let f(x) be the first derivative of 0*x + 7\/2*x**2 - 2*x**4 + 0*x**3 - o. Find the second derivative of f(i) wrt i.\nAnswer: -48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -992*w**2 - 385 with respect to w.\nAnswer: -1984*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17157965*i**4 + 1012498*i**2 + 2 wrt i.\nAnswer: 411791160*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**3\/15 - 2*b**2\/5 + 8\/15 = 0. Calculate b.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 256826239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of k**5\/20 + k**4 + 2*k**3 + 15*k**2\/2 + k. List the prime factors of v(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401.838 less than -21.0087?\nAnswer: -422.8467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5109947*f**4 + 3140712 wrt f?\nAnswer: 20439788*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1118040 - 772735. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1363727 is divided by 454570?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7666, -15336, -23004, -30670?\nAnswer: -38334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v + 7*v - 295*v**2 + 308*v**2)*(-4 + 9 - 4).\nAnswer: 13*v**2 + 11*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/(-6)*(-18 + 483\/28). Which is the biggest value? (a) z (b) 1\/15 (c) 3 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9482*v**5 - 2*v**3 + 2*v**6 - 2 - 4785*v**5 - 4815*v**5 + 733*v**2 + 2*v**3 wrt v?\nAnswer: 240*v**3 - 7080*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 192 and 6384?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5047, 10394, 15743, 21094, 26447, 31802, 37159?\nAnswer: 42518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 = -10*z + 12 + 89 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21038, 21039, 21042, 21047, 21054, 21063, 21074?\nAnswer: 21087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3000139576 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 17*a**2 + 15. Let v(b) = 6*b**2 + 5. Give -4*h(m) + 11*v(m).\nAnswer: -2*m**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -2, 9, 446, 2 in descending order.\nAnswer: 446, 9, 7, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, a: 1, i: 1, s: 1, n: 6, p: 2}. Give prob of picking 1 l, 2 p, and 1 a.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -681*r**2 - 702*r**2 + 1388*r**2. Let y(j) = 245*j. Calculate i(y(q)).\nAnswer: 300125*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dkk when three letters picked without replacement from kkkdudkqdkd?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.91409 or 2\/371?\nAnswer: 2\/371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 200 and 96?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (53544\/142784)\/(6*(-3)\/(-56)).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 4 + 3 - 5)*(-54*r - 32*r - 111*r).\nAnswer: 591*r**2 - 394*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17738.\nAnswer: 2, 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -140 - -147.9. Let u = -112 - -101.1. Let i = u + z. Which is the second biggest value? (a) -2\/11 (b) i (c) 0.3 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26641616?\nAnswer: 2, 53, 89, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 6 = -3*f + a, 0 = 2*f - a - 4. Suppose -f*c - 8 = -4*c. Let s(i) = -3*i. What is the remainder when s(-2) is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-15 - (-550)\/33)*(-6)\/4).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.5 (b) 0.833 (c) -0.139 (d) 1 (e) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -7383*l**2 - 7378*l**2 + 14762*l**2 - 24*l**3 + 1 - 46*l**4 as h*l**2 + a*l**4 + f + t*l + g*l**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(99) + sqrt(99)*1 + -1)*-4*-2)**2.\nAnswer: -3072*sqrt(11) + 101632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.2, -0.2, -12, 3\/4826?\nAnswer: 3\/4826","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*l - 2*l**3 + 7*l - 2*l**2 + 2*l**3 + 2*l**2 + (51*l**2 + 18*l**2 - 135*l**2)*(-l - 4*l + 4*l).\nAnswer: 66*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -13 (b) -1\/8 (c) -0.08 (d) -8\/5 (e) -0.1 (f) 38\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 102*a**2 - 1536*a + 86. What is i(15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2216 + -1?\nAnswer: 2215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5853\/5 - 1170. Sort -3\/43, -0.02, r in decreasing order.\nAnswer: r, -0.02, -3\/43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 66 = -0*h. What is the remainder when 395 is divided by h?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssp when three letters picked without replacement from {p: 2, s: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1441 and -7?\nAnswer: 10087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-4 + -5 + ((sqrt(847) + 1 + sqrt(847) + sqrt(847))*1 - (sqrt(847) + (-3*(1 + sqrt(847) - sqrt(847)) - sqrt(847)))) + -1)*6)**2.\nAnswer: -15048*sqrt(7) + 275872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2. Let j(t) = 25*t**2 - 110*t - 110. Let a(y) = 68*y - 28*y - 16*y - 28*y + y**2 - 6 + 2. Let k(b) = -55*a(b) + 2*j(b). Determine q(k(z)).\nAnswer: -25*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1801633169?\nAnswer: 7, 31, 8302457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10575, -19930, -29285, -38640, -47995?\nAnswer: -57350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = 14*g - 9*g + 12. Let p be 15\/4 + 2\/8. Suppose d - 21 = v, 3*d - 6*v = -p*v + 62. Solve 0*s - d = g*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.19002 days to nanoseconds.\nAnswer: 794017728000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u = m + 14*u, 0 = -4*m + 5*u + 65. Suppose 3*l = -4*a - 23, -m - 8 = 2*l + 4*a. Sort l, -3, 5 in decreasing order.\nAnswer: 5, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9514 - 9517. Let f = -11 + 10.93. Which is the nearest to 3? (a) f (b) r (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.745283411 to zero decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 4*t - 217 = -v, 5*v + 5*t - 1135 = 0. Suppose -2 = q, 0 = r + 4*q - 8 - 9. What is the highest common factor of r and v?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -106 + 115. Suppose -9*c + 109 = 82. What is the remainder when b is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.2 (b) -1\/10 (c) -273 (d) 0.5 (e) 1\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 245024 to the power of 1\/2, to the nearest integer?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*r**2 + 62*r - 43*r**2 - 69*r to h*r**2 + o*r + u and give h.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - r + 1. Let u(s) = 9*s**2 - 4*s - 5. Calculate -5*b(v) - u(v).\nAnswer: -4*v**2 + 9*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-3))\/(18\/27). Suppose 0*n = -d*n - 48. Calculate the remainder when 105\/(-14)*n\/5 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4 = -o - 3*o, 4*o = 4*v - 8. Suppose 0 = -0*k + v*k. Solve k*r + 9 = 3*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6182892, 12365782, 18548672, 24731562, 30914452, 37097342?\n\"Answer: 6182890*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34860 divided by -1660.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -950 - -950.0003251. What is x rounded to five decimal places?\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6906148 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2. Let f be ((-6)\/9)\/(9\/(27\/(-4))). Let i(k) be the first derivative of 0*k - f*k**2 + 3. Calculate i(w(b)).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mxsx when four letters picked without replacement from {x: 2, b: 4, s: 12, m: 1}.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2465865*l. Let m(o) = 3*o**2 + 4. Calculate i(m(d)).\nAnswer: -7397595*d**2 - 9863460","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 8:06 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, h: 2, s: 5, v: 8}. What is prob of picking 1 h and 1 s?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**4 + 2706*k**3 + 8132*k**2 + 5424*k = 0.\nAnswer: -2, -1, 0, 1356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24205296.\nAnswer: 2, 3, 31, 16267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -14c1 (base 13) to base 7\nAnswer: -11556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 208160210 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 28*b**3 - 3*b**2 + b + 3. Let l be t(-2). Let u = -115 - l. Let f = u + -93. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*m - 12*m = -11*o + 5*m + 134, -98 = -2*o + 2*m for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 111*m - 113*m + 867, -2*m + 857 = 5*k. What are the prime factors of m?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 688029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6061 + 11326. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008830001 rounded to four decimal places?\nAnswer: -0.0088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5624.98 + 5625. What is the nearest to r in 0.4, 3\/7, 2, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 5*p - 4. Let l be n(3). Suppose s - 77 = 4*b, 4*s + 2*b - 104 = l*s. Suppose 0 = -s*w + 52*w + 670. Is 8 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -6\/5 (b) -4 (c) -3 (d) 0.011\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -248 (base 14) to base 10\nAnswer: -456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6316 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -25849, -51718, -77585, -103450, -129313?\n\"Answer: i**2 - 25872*i + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by 1\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 6*l**2 + 6*l - 2. Let j be t(5). Solve 4*g = 4*h, 0 = -3*h - j*g + 1 - 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - (-7 + 16)) + (16 - 4).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 303?\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 2*y**2 - 10*y - 7. Give r(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h**2 + 1. Let s(i) = i**2. Let x(w) = 2*g(w) - 7*s(w). Suppose -5*f = -2*f. What is x(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -35 and -43895.7.\nAnswer: 1536349.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 6*l. Let j(t) = -2*t**2. Calculate i(j(a)).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -h**4\/8 + 11*h**2 + 2. Let w(f) = 122*f. Let m(s) = 41*s. Let z(g) = -16*m(g) + 5*w(g). What is z(p(j))?\nAnswer: 138*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76197 = 211*a - 178*a. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*a = 86 + 49 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 2*x**2 + 4. Let f be u(3). Suppose 0 = 2*m + 2*m - 28. Calculate the greatest common divisor of f and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/4 - 293*k\/4 - 435\/2.\nAnswer: -(k + 3)*(k + 290)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -136483 divided by -1645.\nAnswer: 136483\/1645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4403123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - -14)*(91\/(-21) - -4). Sort 5, 4, -4, f.\nAnswer: f, -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -600*t - 317*t = 2740 + 832 + 96 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**4\/4 - 53139*o**3\/4 + 106242*o**2 - 212460*o = 0.\nAnswer: 0, 4, 17705","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-231)\/35)\/11)\/(3\/(-30))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, d: 1, c: 10, u: 2}. Give prob of picking 1 c and 1 u.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 11:54 PM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3754705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 107 + -106.6. Which is the biggest value? (a) t (b) 2 (c) 0.3 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-3) + 0)*96\/160?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2111 divided by -34?\nAnswer: -2111\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 738 divide 2082636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 136*l + 19. Let n(w) = w + 2. Let a(g) = 2*k(g) - 30*n(g). Suppose 4*d + 37 - 1 = 0. Let h be a(d). Round h to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12033261403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -10*m - 22. Let r be f(-2). Let i(s) = s + 4. What is i(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 5 - 4)*(6*a**2 + 8*a**2 + 21*a**2 + 28*a**2 - 4*a) to d*a + q + j*a**2 and give j.\nAnswer: 441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 14651 = -3349. Is l a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21.5 * -6.5\nAnswer: 139.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 + 43. Let x = k + 105. Let z = x - 115.9. What is z rounded to 0 dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5422.7, 0.1, 4, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4953\/7 in 3\/8, -0.1, 5, -1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2, 41, 96, 169, 266, 393, 556, 761?\n\"Answer: d**3 + 36*d - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(112\/6)*(-256)\/2. Let w = g - -3257\/119. Which is greater: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 721\/70 - ((-31)\/(-310))\/((-1)\/(-167))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -13*f**2. Let g(s) be the third derivative of 7*s**4\/24 + 240*s**2. Give g(j(n)).\nAnswer: -91*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2973, 11908, 26813, 47688?\nAnswer: 74533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 37559*w + 2 + 37557*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (3*2 + (-73 + -36 - -51))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, 1189720, 5?\nAnswer: 1189720","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*(-1)\/(-1 + 0 + 4). Suppose x - 4*h + 6 = 0, -3*h + s*h = 5*x - 16. Sort 3.8, x, 5 in decreasing order.\nAnswer: 5, 3.8, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -6)\/(-58 - -59)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/6)\/((-1)\/(-6)). Let n be ((-752)\/20)\/(d\/5). Let m = 133 - n. What is the remainder when m is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -210 (base 7) in base 2?\nAnswer: -1101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2996946 divided by -19\nAnswer: -157734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40372*u**5 - 5*u + 3727?\nAnswer: 807440*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/(3*sqrt(7)) - 4*sqrt(539)) + (sqrt(88) - 1*sqrt(88)*-1)\/(sqrt(8)*-1*-3).\nAnswer: -27*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1131001058?\nAnswer: 2, 11, 17, 239, 12653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 9*d + 52. What is n(-7)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9a (base 14) to base 7.\nAnswer: -253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nfnf. Give prob of sequence fnfn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/2580897 and -35\/6501?\nAnswer: 2580897","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 2:51 AM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-4*(sqrt(363) + (sqrt(363) - (sqrt(363) + -1 + sqrt(363)))*4) + sqrt(363) + -1 + -3 + 3 + sqrt(363)*1 + 4)**2.\nAnswer: -4004*sqrt(3) + 71312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uurrwrr. What is prob of sequence wuur?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 - -14. Is -2 - -2*(-746)\/c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + (-10 - -8 - (-19 - -1)). Let i = n - 12. Solve -d - 1 - i = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/3 and -47\/9738.\nAnswer: 9738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10739\/4 - -2685. Let q = 1\/22 + 16\/11. Which is the closest to w? (a) -11 (b) -0.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(4\/7)\/(p\/(p\/(p*(p*p**(1\/8)*p*p)\/p)*p))*p**(2\/15)\/(p*p*p**(-8)) assuming p is positive.\nAnswer: p**(3847\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 644897, 1289798, 1934699?\nAnswer: 2579600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 5*c = 4 + 7, 4*x = 4*c - 8 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 397?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 6:28 PM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47.9 + -48. Is 11 > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46877623?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47.5*15126.\nAnswer: 718485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -24*v + 207. Determine q(9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.3 minus 20194.772?\nAnswer: -20206.072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53812 is divided by 77?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(-6\/17)*n**(-9\/4))\/((n\/n**(-8))\/n)**(5\/2) assuming n is positive.\nAnswer: n**(-1401\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 22 - -5?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 172\/369 - 10\/41. Let v(o) = -o**2 - 7*o + 8. Let q be v(-8). Suppose i + i = q. Is n smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 29 in 2, 4\/7, 2\/5, -129\/7, 0.3, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 - -1)\/(6\/9). Let o = -11 + n. Let a be (-32)\/o - 2\/7. Solve -2*y - 3*y + 10 = 4*q, -a*y - 24 = -4*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-89*26\/39)\/(2\/(-3)). Suppose g - 999 = l. Calculate the greatest common divisor of 68 and g.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31517 is divided by 2355.\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4712457991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1711 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 228.75 + -4.75. Let v = -159 + p. Let f = v + -101.5. Round f to 0 decimal places.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -37769?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of o**4\/4 - 2*o**3\/3 - 5*o**2\/2 - 3*o + 6. Let i be g(4). What is the tens digit of (0 - i\/15)*-145?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of f**4\/6 - 11*f. Let d(x) = -5*x - 4. Let m(n) = 20*n + 15. Let h(o) = 15*d(o) + 4*m(o). Give a(h(c)).\nAnswer: 50*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2\/5 + 135929358*x\/5 - 271858728\/5.\nAnswer: 3*(x - 2)*(x + 45309788)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2483461999 by -5.\nAnswer: -2483461999\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, -2\/3, 0 in ascending order.\nAnswer: -46, -2\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-10)\/m)\/m)**(-26) assuming m is positive.\nAnswer: m**312","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express a**2 + 4*a - 2 + 4*a**3 - 5*a**3 - 5*a + 0*a**3 as j + l*a + q*a**2 + s*a**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of n**4\/12 + 5*n**3\/3 + 15*n**2\/2 - 2*n. Let b be o(-10). Solve 2*l + b = -l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 869, -27, 2, -23 in descending order.\nAnswer: 869, 3, 2, -1, -23, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -107 greater than 0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 160459.44 months to centuries.\nAnswer: 133.7162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1157\/155 + -23401\/1860. Let k = -21\/4 - u. Let r = 9706 + -9706.3. What is the nearest to k in r, -0.5, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34467\/11 - -3136. Let p = -1\/4 - -3\/4. Find the common denominator of p and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 14217?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -133558 divided by 66779?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/4*38\/(-6). Let l = s + 31\/3. Which is bigger: l or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n + 1. Let r(m) = -13 + 52*m - 53*m + 17. Give -6*a(s) + r(s).\nAnswer: 5*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -5*g. Give t(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3b505 (base 12) to base 13\nAnswer: 2b3b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-1\/2))**(-32)*(p\/(p\/(p**(2\/5)*p*p))*p)\/p*p*(p**(-2\/9)*p)\/p)**(3\/5) assuming p is positive.\nAnswer: p**(-577\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2 + 28 = 0. Suppose -4*s - m = 10, -o - 4*s = 18. Suppose -3 = k - 4. Solve o = w - k for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*h - 3*h. Let i(c) = c**2 - 5*c + 11. Let w be i(h). Let n = w + -10. What is the smallest common multiple of n and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a. Let j(z) be the third derivative of -13*z**5\/30 - 6*z**2. What is j(w(r))?\nAnswer: -26*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 6*i**2 + 5. Let h be b(6). Suppose 4*r - h*z = 52, 2*z - 8 + 0 = 0. Calculate the lowest common multiple of 6 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) -110\/3 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 5*t - 20, 5*t + 4 - 14 = w. Let q(p) = 3*p**2 - 2*p - 1. What are the prime factors of q(w)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 126894 divided by 5\nAnswer: 126894\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 6 = 18. Let f(a) be the first derivative of -2\/25*a**5 + 0*a + 0*a**2 + 0*a**u + 0*a**4 - 1. Let f(m) = 0. Calculate m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, t: 2, w: 6}. Give prob of sequence tww.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1027\/3 - -343. Which is the nearest to 0.2? (a) h (b) 9 (c) 5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40 - -21. Let m = -7 - r. What is the lowest common multiple of m and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 1\/3, -643?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - (-6 + 1 - -8). Suppose -2*a = -6, l = -n + 5*a - 25 + 13. Put -3, n, -2 in descending order.\nAnswer: n, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d**3 + d**2 + d + 3. Let f be h(3). Let l = -337 - -196. Let k = l - -205. What is the greatest common divisor of k and f?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**6\/40 + z**5\/15 + 17*z**3\/6 - 6*z**2. Let h(f) be the first derivative of v(f). Find the second derivative of h(x) wrt x.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by (-296)\/(-14) + 2 - 50\/350?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 291 and 162451623.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(-1390 + 1390 - l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05056 + -3324.3?\nAnswer: -3324.24944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 155890644 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 v(h) = 69*h + 27. Let y be v(48). Suppose 8794 = 11*z - y. Is 58 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -5. Let p = m + 2. Suppose p = g + g. Is g greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 120*l**3 + 581*l + 2 wrt l.\nAnswer: 720*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12861, -12865, -12869, -12873?\nAnswer: -12877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 7*z**2 + 6*z + 2. Let r be (-64)\/10 + 6\/15. Let x be q(r). Find the third derivative of -x*t**2 + 10*t - 10*t - t**3 wrt t.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - (-19)\/(-6))*2. Suppose 0 = 17*n - 10*n + 35. What is the third smallest value in 0.4, f, n?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*t + 4*f = -57*t + 36, 32 = 5*t - 2*f. Find o such that 2\/3*o**5 + 2\/3*o - 8\/3*o**4 - 8\/3*o**2 + t*o**3 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, l: 3, x: 2}. Give prob of picking 1 x, 1 s, and 1 l.\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -964 + 215 = -107*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**2 + 19*q**3 + 0 + 15*q**3 - 4*q**3 - 3 in the form n + r*q**2 + t*q + u*q**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 50 = -0*q - 2*q, 5*q + k + 71 = 0. Let o be (q\/(-5))\/(6\/(-20)). Let b = -11 - o. Let t(f) = -f**2 - 2*f - 1. Determine t(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - 5*l - 4. Let m be q(5). Let c = -4 - m. Let z = 19818 - 19820. Sort z, c, 8, 1 in decreasing order.\nAnswer: 8, 1, c, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2 - 2*h + 3. Let s = 2 + 0. Let v be q(s). Suppose -3*w = -v*w. Sort -2, w, 1 in descending order.\nAnswer: 1, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/39240 and 29\/17916330?\nAnswer: 214995960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 6*n = -20. Calculate the common denominator of 0 + 2 - (-134)\/4 and 3 + ((-4)\/10 - 118\/n).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12\/54 - 16\/(-90))*10. Suppose -o*b = -6*b - 10. Let q(x) = 2*x + 3. What is q(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + (7 - -9 - (2 + -98)).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4*-2956\nAnswer: -11824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 17*g**2 + 3*g - 2. Let w be o(2). Suppose 3*m + 2*y - 64 = 0, -5*m + w + 36 = 4*y. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/7)\/((-230)\/1610). Solve 0 = -4*i + 16, -3*x = -5*x + a*i + 2 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**3 - i**2 - 305*i - 899. Calculate r(-3).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-144)\/(-320)*(-250)\/(-150)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2.05 - 5789.64873625\nAnswer: -5791.69873625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -974*u = -683*u - 3283 + 2036 - 5737 for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express t - 29752*t**2 - 908*t**3 + t + 29754*t**2 as x*t + v + h*t**2 + j*t**3 and give j.\nAnswer: -908","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 115, 169, 223, 277?\nAnswer: 331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*m**2 - 3*m + 61*m**2 - 1 - 2*m + 5*m.\nAnswer: 3*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d*n**2*u - 2*d*n*u - 2*d*u**2 - 5*d*u - 3*d - 2*n**2*u**2 + 7311963*n*u**2 - 174*n*u + 12 wrt u?\nAnswer: -4*d - 4*n**2 + 14623926*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 37932075 and 27075?\nAnswer: 37932075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 129178352?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 5*m + 1. Let c(z) = 590*z**5 - 58*z**2 + 20*z + 9. Let q(f) = c(f) - 4*n(f). What is the third derivative of q(t) wrt t?\nAnswer: 35400*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of 21*h**2\/2 - 38*h - 26. What is the hundreds digit of q(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*j + 42355 - 42215 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4358, 4356, 4352, 4346, 4338, 4328, 4316?\n\"Answer: -u**2 + u + 4358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1018 smaller than 1015?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 97*g - 41. Let i be j(1). Solve -59*n + i*n = -15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uonnxgvx. Give prob of picking 1 o and 1 n.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 1 = -6*g. Which is the smallest value? (a) 1 (b) 0.02 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47944 - 874287622\nAnswer: -874239678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33 + 2545455?\nAnswer: 2545532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 i, and 2 f when four letters picked without replacement from {x: 7, f: 2, i: 5}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 70 (b) 20122 (c) -1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182 is divided by 39.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 10*d**2 + 9*d - 5. Calculate n(-11).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l + 9. Let y be a(-7). Let b be (-1 - 0 - 1)*y. Let z = -1 - b. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/(-8))\/(4\/(-14)*(-9646)\/(-26))?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34087?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*x + 7*x + 13*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 3*c - 2*c + 139 = -3*c, -17 = -21*t - 5*c - 898 for t.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14294 by 2.\nAnswer: -7147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4640.52 times 0.3\nAnswer: 1392.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 9:05 PM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/1128 and -89\/78.\nAnswer: 14664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of x**4\/12 + 2*x**3\/3 - 18*x**2. Let v be t(0). Let p(y) = -2*y + 5. Give p(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 1, -4, 57, 0.05, -9 in ascending order.\nAnswer: -19, -9, -4, 0.05, 1, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -62, -135, -208, -281?\n\"Answer: -73*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = o + 399. Let z(p) = p + 121. Let r be z(-14). Let l = 126 - r. What is the greatest common divisor of l and o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29788?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -21 + 36. Suppose -5*l - 4*z + 318 = 0, z + j = -4*z. What is the greatest common divisor of l and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 15, r: 3}. What is prob of picking 4 h?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-10) + (-2)\/(-5))*(-46232)\/69348\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**2. Let m(t) = -3*t**2. Let j(n) = 2*h(n) - 3*m(n). Let a(o) = o. What is a(j(b))?\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, -13, -56?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183221 is divided by 1047.\nAnswer: 1043","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -v**5\/60 + 5*v**4\/24 + 5*v**3\/6 + 53*v**2. Give q(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.7 + -0.3. Let s = 4 - g. What is the smallest value in s, 2, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 3. Suppose -2 = -4*r + 3*r, -2*m - 4 = -4*r. Let a(o) = -2 + 2 + 8 - 9. Let q be -4 + 1 + 14 - 4. Give m*p(x) + q*a(x).\nAnswer: 2*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - (2 - 2)*-1. Let n = 0 + m. Suppose n = 4*c - 7 - 5. Solve -3*a + 4*x + 7 = 0, 0 = -a - 0*a + c*x - 1 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d + 2*n - 12, 1135*n + 8 = -2*d + 1137*n for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 308 and 612752.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - v)*(4 - 6 - 1)*(-2*v + 6*v - 3*v)*((2*v + 0*v - 4*v)*(0 - 1 - 1) - 3*v + 2*v + 3*v).\nAnswer: 18*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58 + -55. Solve p*o = 5*c - 37, -3*c = -o - 6 - 13 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/804 and 143\/138.\nAnswer: 18492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b + 3. Let o be l(0). Suppose 0 = o*w + 2*u, w - 3*w - 2*u - 2 = 0. Solve 2*x + w*x = 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6291*t - 287642 = 83527 for t.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kpvv when four letters picked without replacement from ppvpvpnkkn?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.07 + 0.07. Let h = 148 - 741\/5. Let k = 7 - 6.8. What is the closest to u in h, -2\/7, k?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - a = 0. Let q = -15\/28 - -2\/7. Is q != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*c + 18 - 18 + 12*c.\nAnswer: 32*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -635 + 636. Solve 0 = -8*v + 9*v - n for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 616501261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*w**3 - 3*w**3 + 18*w**3 - 2*w**3.\nAnswer: 24*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2 + 3*sqrt(112).\nAnswer: 7 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 163 + -166.14. Let i = v + 3.34. Which is the second biggest value? (a) 3\/2 (b) i (c) -10\/7 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 826880 is divided by 4667?\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b - 67. Let q(k) = 54*k - 73. Determine i(q(l)).\nAnswer: -108*l + 79","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -21\/4, 22, 3?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 141418 to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 p when four letters picked without replacement from epejepjejjjxjj.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1571785217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -q**4\/6 - 2*q + 13. Let x(l) = -58*l**2. Give x(v(a)).\nAnswer: -232*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.5331cm in meters?\nAnswer: 0.075331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4*c = -5*d + 15, d = 2*c + 3. Solve d*q + 15 = 2*g, 5*q - g = 2*g - 24 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18.09 + -0.41. What is v rounded to zero dps?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 901*f + 905*f + 9268 = 0, 5*x + 3*f - 11641 = 0. Calculate the greatest common factor of 28 and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -2659\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1750023.\nAnswer: 3, 11, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 6*j**2 + 19*j - 22. Let l(u) = u**2 + u - 1. Let m(r) = 5*l(r) - q(r). Let p be m(-15). Suppose -p*n + 404 = -0*n. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 10*i**2 - 10*i + 34. What is n(-8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 52 = -4*q, 28*q + 90 = -3*r + 35*q for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -3\/13*q**6 - 1366875\/13*q**3 - 1\/1365*q**7 + 0*q + 0 - 405\/13*q**5 - 30375\/13*q**4 - 24*q**2. Factor w(x).\nAnswer: -2*(x + 45)**4\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, 969, 5, -5 in decreasing order.\nAnswer: 969, 30, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.211 - 11800463.\nAnswer: -11800462.789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28947*b**2 + b + 77751?\nAnswer: -57894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, m: 4, b: 3, x: 4}. What is prob of sequence xbm?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 17*a**3 - 7*a**2 + 9*a - 7. Let i be f(4). Let h(q) = -q**2 + 1005*q - i*q. Let b(w) = 5*w**2. What is h(b(d))?\nAnswer: -25*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**17*d\/d**2)\/(d*d*d**(-1))**(-11\/5))**9 assuming d is positive.\nAnswer: d**(864\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24212 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + z + 1. Let j = -17 - -16. Let r(d) = 4*d**2 + 12*d + 2. Let w(l) = j*r(l) + 8*m(l). What is the tens digit of w(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*c**2 + 88*c - 84 = 0. What is c?\nAnswer: 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*f + 4 = -13*f - 2*i, 0 = -f - 6*i + 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 129\/(-6)*-2 - (-6 + 5). Suppose 3*m + 38 - p = 0. Find c, given that -3\/7*c - 12\/7*c**m + 9\/7*c**3 + 0 + 30\/7*c**4 - 24\/7*c**5 = 0.\nAnswer: -1\/2, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j*z**2 + 1750*j + 39381*z**2 - 7 wrt z.\nAnswer: 4*j*z + 78762*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 82859 a multiple of 296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1*(5 + 1*((sqrt(720) + 0)**2 + -5))*6.\nAnswer: -4323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*q = 16*q - 6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50 + 25. Let q = -13 - s. What is the remainder when q is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -5*y - 43. Let s be x(-9). Suppose b = -j - s + 6, 3*b - 3*j - 18 = 0. Solve 4*w = n + 2*w - 3, 0 = 2*n - b*w - 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*u + 11*u - 32*u + 9*u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -31880751?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.5, 2\/5, -0.7 in increasing order.\nAnswer: -0.7, 2\/5, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 106033010 to the nearest integer?\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34092 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 98559287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1222223420 - 4?\nAnswer: -1222223424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20707 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*b = 5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqq. What is prob of picking 3 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 214091.9 and 0.3.\nAnswer: 64227.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22634, -22640, -22646, -22652, -22658, -22664?\nAnswer: -22670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*l - 39*l + 63*l.\nAnswer: 9*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 5*w = -15, -2*d = -5*w + w - 6 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 46000 divided by 4\nAnswer: 11500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22 or 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 131560 divided by 1430.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/4)\/((-15)\/4)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 5:37 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 1, 4 in descending order.\nAnswer: 4, 1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -654? (a) 6\/19 (b) -0.3 (c) -71 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/2 + (-1 - 1). Put -3, 4, i in descending order.\nAnswer: 4, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b - c6960?\nAnswer: -c696b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 3*t**2 - t. Let d be (8\/(-5))\/4*-5. Let i be z(d). Suppose 2*f = -i*f + 12. Put -1, 1, f in ascending order.\nAnswer: -1, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**13\/(n*n**(-2)))\/(n**(7\/5))**(8\/5) assuming n is positive.\nAnswer: n**(294\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vlllollllnlvnvlnvl. Give prob of picking 3 l.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t + 2*t + 2*t - 4*t. Let f(r) = 3*r**2 + r. Let m(y) = y**2 + y. Let q(x) = -f(x) + m(x). Give q(g(d)).\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 89528 and 103261.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9505365 divided by -2?\nAnswer: 9505365\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*z - 11*z - 15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1794 - 1762. Suppose -p = -5*j - 103, -5*j - 2*p = p + 91. Let k be ((-180)\/75)\/(6\/j). Calculate the greatest common factor of k and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.188 + -5.2. Let h = -35.012 - u. Let y = h + 34.99999952. What is y rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -159521, -159524, -159539, -159572, -159629, -159716, -159839, -160004?\n\"Answer: -n**3 + 4*n - 159524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 118 = -3*j, -2*j + 159 = 2*j - 3*p. Let w be 5\/((-15)\/(-4))*j\/6. Calculate the greatest common factor of 56 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.81 + -47.19. Let w = 53 + b. Let p = -1.05 + 0.05. Sort 0, w, p in decreasing order.\nAnswer: w, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 132 = q, -4*j - 44 = -3*q + 297. What is the remainder when q is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -3. Suppose y = -j + 15 - 1. Suppose 2*h + 4 = -2*r + 4*r, -4*r = -2*h - j. Solve -h = t + 2 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/391 and 10\/36873.\nAnswer: 848079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.058 - 168.942. Let p = t - -154. Which is bigger: -0.2 or p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**5 + a**5 + 0*a**5)*(-3 + 1 + 1) - 2*a**5 - a**2 + 9*a**2 + 4*a**2.\nAnswer: -4*a**5 + 12*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -y + 11517, 4*y - 2361 + 19620 = 3*g. Suppose -11071 = -28*r + g. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04907379 rounded to three dps?\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-300)\/396)\/25*-2.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 8, -1, 43 in decreasing order.\nAnswer: 43, 8, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -5. Let d be o\/2*(-6)\/(-9). Find the second derivative of -d + 2*r**4 - r + 1 wrt r.\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -206, 4, -105, -5, -3, 2.\nAnswer: -206, -105, -5, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -21 + (-3949)\/(-187) + ((-2441)\/85 - 6\/(-10))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*z = -9, 4*o - 2*z + 0*z = 4. Let l = 7 - o. What is the units digit of ((-2)\/l)\/(6\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 316, 1357, 3072, 5443, 8452, 12081?\nAnswer: 16312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of q**8\/20160 - q**7\/5040 + q**5\/30 - 2*q**2. Let m(c) be the third derivative of l(c). Factor m(d).\nAnswer: d*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/432272 and -19\/4.\nAnswer: 432272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 6*j - 13. Let k be w(8). Suppose 0 = 5*m + k*r + 22000, 2*m - 5*m = 5*r + 13200. Let i be (-4)\/(-1)*m\/2. Round i to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -26 + 14 + 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2493 is divided by 139?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -17. Suppose -x*o + 2*o + 3 = s, -s + 3*o + 3 = 0. Suppose 1 = r + s*r - m, -m + 4 = r. Solve -2*l - 1 = r for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 79936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18818*h**2\/7 - 3104*h\/7 - 128\/7.\nAnswer: -2*(97*h + 8)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 0 + 8 + -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 46766, 2, -5, 51, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -30, -32, -30?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*(-5)\/(-30)*6. Put 2, z, 1, -2 in decreasing order.\nAnswer: 2, 1, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 7 + 3 = 4*j, 4*g + 10 = j. Let q = 3 - j. Is q >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*u**5 - 121662017*u**4 + 2*u**3 + 23911*u**2 + 4*u + 66 wrt u.\nAnswer: -120*u**2 - 2919888408*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/2597991 and -38\/662233.\nAnswer: 33773883","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(90) + sqrt(90))\/sqrt(2).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58\/15 + -22\/5. Which is smaller: p or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1329 + -1323. Which is the closest to -0.01? (a) -2\/7 (b) 0 (c) x (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -409177\/5 + 81836. Suppose 0 = 3*x - 4*x. Which is the nearest to 0.2? (a) 0.1 (b) x (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 27\/(-36) - ((-1)\/(-1) + -1). Which is the nearest to 0.1? (a) w (b) -2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 654.4541l in millilitres?\nAnswer: 654454.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16216, 64780, 145728, 259066, 404800, 582936, 793480?\nAnswer: 1036438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -22*u + 328. Let f be k(50). Let s = -752 - f. Solve -4*q - 5 = -z, -5*q + s = 3*z + z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times 177?\nAnswer: 1239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + -2)\/(16\/(-40)). Suppose 0*k - y*k - 90 = 0. Let u = -12 - k. Is u a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -57 (b) 0.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*o*x**4 + 2*o*x**3 - 28*o*x**2 - 3*x**6 - 9*x**2 wrt x?\nAnswer: 240*o*x + 12*o - 360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1653 and 54375.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 17*g. Let j(r) be the third derivative of r**5\/4 + r**3\/6 - 875*r**2. Calculate f(j(v)).\nAnswer: 255*v**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(12)*3 - sqrt(24)\/(1*sqrt(2) + sqrt(2)))\/((-1*sqrt(1080) + sqrt(1080) - sqrt(1080))\/(sqrt(500) + sqrt(500)*2)).\nAnswer: -175*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d = -1566 + 1511 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1415 + 1416. Let g = 0.2 + 0. Which is the second biggest value? (a) g (b) j (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 4*k**2 - 4. Let f be c(3). Suppose -11*m = 11*m - 330. Determine s, given that f*s**2 + 101 + m*s - 101 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -126, -31, -4.\nAnswer: -126, -31, -30, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(288) + 2)*-4 - sqrt(288) - sqrt(288))*5)**2*-1.\nAnswer: -260800 - 28800*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l + 4*r - 20, -33*l = -31*l - r + 11 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14681 - -14741. Suppose o - 6*o = -200. What is the greatest common factor of l and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16.99875 - 17. Round j to 4 decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4033\/66 + 696\/11. What is the common denominator of n and 299\/26*(-110)\/(-66)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1699*d + 295548 = 1732*d. What are the prime factors of d?\nAnswer: 2, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 * 0.6093\nAnswer: 0.42651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*w = -40*w + 4*w - 35*w - 7238 for w.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2, 5*c - 2*t = -156316 - 22040. Let b = c - -52573. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)\/sqrt(4)*6 - sqrt(48)) + sqrt(21)\/sqrt(7) + -2 + 3.\nAnswer: 1 + 21*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 15, -11*x + 6*x = -3*m - 91. Suppose x = 3*n - 5*q, n - 8 = 2*n + 2*q. Solve n*t - t = -2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 664424.\nAnswer: 2, 23, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away -0.05224882850169?\nAnswer: 5.05224882850169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*444118\nAnswer: -88823.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -913*o + 904*o. Which is the closest to 0.1? (a) o (b) 3 (c) 0.4 (d) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -11*c. Suppose d + 9*d = 20. Let o(m) = 60 - m**d - 60. What is z(o(t))?\nAnswer: 11*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2 + 18*y**2 + y**3 + 16*y - 3 - 9. Let c be x(-17). Let u be (-3*8\/36)\/((-1)\/c). Solve -u*s + 14 = 22 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 156967, 313931, 470895, 627859?\n\"Answer: 156964*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2723 + 0.0723. What is the nearest to z in 16, 0.05, 0.1?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1592170?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (1 + 0 - 1) - 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/56*(-2142)\/(-2040)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -5, 0.03, -2\/7 in ascending order.\nAnswer: -5, -2\/7, 0.03, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-15)\/6 - -2)*676. Let r = w + 791. What are the prime factors of r?\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51279a (base 11) to base 15.\nAnswer: -11400e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**4 + 0*d**4 + 0*d**4)*(0*d + d - 3*d) - 2*d**5 - d**3 + d**3 + 809*d**5 - 20453*d**3 + 20453*d**3.\nAnswer: 811*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 2*f - 6 = 0, 0 = -f - 2*f + 17 - 23 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 654378 to the power of 1\/3, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-40)\/(-3) - 2\/6. Suppose 4*w - 37 = -3*i, -2*w + 3 = 2*i - q. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59 + 192. Suppose -q + 3*v + 242 = 0, -q + 4*v + 107 = -w. Is 62 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (904\/(-339))\/((-130333)\/(-65166) - 2). Round u to the nearest one thousand.\nAnswer: -174000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22 and -1.9585518?\nAnswer: -43.0881396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2239*y - 1111*y + 1045*y - 1.\nAnswer: -2305*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -372*k + 151*k + 148*k - 510*k - 265*k as y*k + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 7:51 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -c**7\/42 + 179*c**4\/2 - c**3\/6 - 340*c**2 - 681*c. What is the second derivative of a(z) wrt z?\nAnswer: -20*z**3 + 2148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.2 + 7.7. Which is the nearest to 17? (a) -5 (b) j (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*j, -8*o + 1856 = -5*o - 5*j. List the prime factors of o.\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-18))\/((-2)\/9)*(-24 + 1410\/45).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-18 - (4 + (-12 - 4))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/6 and -2*(-87)\/(-12)*-2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + m + 5 = 3*s, -4*m + 10 = 2*s. Let q be 22\/4 + s\/(-2). What is the closest to 1 in 3\/5, q, 4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-15)\/(-3) + (-10)\/2. Suppose -44*r + 43*r + 104 = h. What is the remainder when r is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -1310*m - 1234. Does 27 divide j(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7830\/120 + 1\/(-4). Suppose -3*c - 3 = 2*b - j, 0 = -4*c - 2*b + 84. Calculate the lowest common multiple of 18 and c.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*x + 211*x = 4938 + 1812 for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 283\/18 + -31\/2. Let k = -134 - -135.42. Let p = k - -0.58. Put -1\/2, y, p in increasing order.\nAnswer: -1\/2, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**2 - 933*w + 2784. What is s(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -171007929*v**2 + 458741160*v - 307651600.\nAnswer: -(13077*v - 17540)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*j = 0. Suppose 0 = -9*i + 4*i + 20. Let n = i - j. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 + 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**5 + 118*h**4\/3 + 806*h**3\/3 - 26*h**2 - 1840*h\/3 + 1000\/3 = 0.\nAnswer: -5, -2, 2\/3, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y**2 - y**2 - 2*y**2 + (-1 + 1 - 2*y)*(-4*y + 2*y - y) + (-3*y + 6*y - 4*y)*(-y - y + y) - 8*y - 12*y**2 + 8*y.\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -689\/602 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 130 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(3\/7))**(-1\/2))**23)**(2\/75) assuming a is positive.\nAnswer: a**(-92\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -5*x - 5, 25355*z = 25351*z - 12*x + 68 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 386 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2350?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1474, 1467, 1460?\n\"Answer: -7*s + 1481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 559.2 + -99.2. Let y = 460.00072 - k. Round y to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 17*m**2 - m + 13. Determine y(17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/314236 and -68\/90645.\nAnswer: 4713540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13503*i**3*l**2 - 33152*i**3 - 3*i**2*l**2 + 1942034*i**2*l + i*l**2 - 2*i*l + l wrt i?\nAnswer: 81018*l**2 - 198912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-528)\/77)\/((-21)\/(2205\/12)).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -509*q**3 - 8696*q**2 + 2*q - 95160835 wrt q?\nAnswer: -1527*q**2 - 17392*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 9 - 1 - 4 - 7369*i + 7370*i + 2.\nAnswer: i - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 3. Suppose -4*f = 5*y - 57, 2*f - 2*y = 5*f - 41. Suppose -4*i = -15 - f. Solve -i = -k*t + 1 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2 - 61*b - 2402. Give i(53).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-10))\/((-1)\/(-5)). Let b = 3 - y. Suppose -4 = -b*v - 0*v. Solve -5*f = -v*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18227790 and 140.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006693003 to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11012100300 (base 4) in base 7?\nAnswer: -14234055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -222*k + 9 - 233*k + 477*k - 3*k**2. What is the smallest common multiple of y(7) and 28?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 568795801?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**4\/5 - 4*x**3\/5 - 78*x**2\/5 - 136*x\/5 - 64\/5 = 0. Calculate x.\nAnswer: -4, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(20\/(-8)) - 0. Suppose y*p = 4*p - 598. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -16\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -12843846 divided by -158566?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of j**3\/2 + 3*j**2\/2 + 16*j. Let a = 0 - 2. Calculate v(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 30*c**2 - 3*c - 7. Let p be q(-2). Suppose 138*m - p*m - 114 = 0. Let g(r) = -r**2 + 5*r - 7. Calculate g(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vcc when three letters picked without replacement from {c: 11, v: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*j + 1185 = 0. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -8, -1\/5, -11657, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 5. Let m be (-3 - -5)*1 - 2. Let l be m + -1 - 8\/(-20). Put f, -0.4, l in increasing order.\nAnswer: f, l, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - l + 4. Let z(x) = -14 + 9*x**2 - 7*x - 2*x**2 + 14*x**3 + l*x - 15*x**3. Let o be z(6). Solve n + 0*n - g = 0, 4*n + o*g + 24 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 48\/(-2)*(-1)\/2. Suppose 0 = 5*d - 3*k + 21, 0 = -3*d + d + 3*k - r. Let n be (-17)\/d + 6\/(-9). Solve 4*l = 2*t - 10, n*l = -4*t + 3*t - 9 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/5 + 13497*d\/5 + 13498\/5.\nAnswer: -(d - 13498)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**2 + n + 2. Let i(z) = -8*z**2 - 262*z - 135. Let w(x) = -3*b(x) - i(x). Factor w(p).\nAnswer: (p + 129)*(2*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -1701*a + 13463. Determine g(8).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 255 (base 6) to base 12\nAnswer: 8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001 (base 2) in base 7?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13814475737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yq when two letters picked without replacement from {v: 2, q: 3, y: 3, n: 12}?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-20))\/y**(-7)*(y\/(y**(-2\/15)*y))\/(y*y\/(y*y\/(y\/y**(-2\/13)))) assuming y is positive.\nAnswer: y**(5261\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 4:40 AM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 113123 (base 4) in base 2?\nAnswer: 10111011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 472*p**5\/5 + 2717*p**2\/2 - p + 874. Differentiate m(b) with respect to b.\nAnswer: 5664*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1280*x - 278 + 759 - 233 - 248.\nAnswer: 1280*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 4 + 0)*(4*z + 0*z - 5*z) + 121*z - 442*z - 183*z)*(-3 + 0 + 2).\nAnswer: 503*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/q**(-2)))**49\/(q**(-4)\/(q**(1\/10)\/q)))**(47\/3) assuming q is positive.\nAnswer: q**(-44603\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -305 * 2.\nAnswer: -610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - (12 + -2 + -5). What are the prime factors of (-20)\/20*1*n*674?\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 5*k - 3, 128*b - 4*k - 24 = 142*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.448853 != 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 5 = -7. Suppose 11 + 1 = 2*d. Which is smaller: d or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 12*h**2 + 12*h - 6. Calculate s(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1271056 and 96016.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 4*y + y)*(5*y**4 + 0*y**4 - 3*y**4) + 2*y**5 - 2*y**5 - 6*y**5.\nAnswer: -8*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -11*h**2 - 6. Let k(b) = -11*b**2 - 5. Let t = 16166 - 16172. Calculate t*k(l) + 5*u(l).\nAnswer: 11*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 6:24 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 5*z**3 + 2*z**2 + 6*z**2 - 9*z**2. Let j(d) = 2*d**3 - d**2. Let f(p) = 9*j(p) - 4*n(p). What is the third derivative of f(m) wrt m?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.8149 to 2 decimal places.\nAnswer: -1.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30020003222 + 2010?\nAnswer: -30020001212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b = 57 + 13. Calculate the greatest common divisor of b and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.2431639 to two decimal places.\nAnswer: 1.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-3)*1*-15*119\/(-140).\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 60\/8 - ((-21)\/5 - -4). Let m = l - 9943\/1290. Is 0 > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-32487)\/4063 + 8). Put v, 4, -6, -3 in decreasing order.\nAnswer: 4, -3, -6, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*v = -16*v - 56*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 + 49. What is the smallest common multiple of x and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 109 + 479 = 0. Suppose 21*w + l = 28*w. What is the lowest common multiple of 28 and w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xkk when three letters picked without replacement from {t: 5, p: 3, x: 2, k: 5}.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*2 + 7\/(-7). What is the first derivative of 4*v**3 + 5*v**3 - 8*v**3 - 12 + 7*v**r wrt v?\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -2331321100?\nAnswer: -2331321111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 1 + 2, 3*t - 10 = -r. Let d = r - 6. Let f = -1 - d. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*l + 31188 = -32612. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -6 + 56 - (-23 - -13) and 680.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 9:28 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/3))**(-7)*h**(2\/9)\/h**(-4) assuming h is positive.\nAnswer: h**(59\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-208)\/(-468)*30\/(-20))\/(20\/(-6)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from koqkkooqkkkokk. Give prob of picking 1 k and 1 q.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 3*u - 11 + 5, 30 = 3*u - 4*z. Suppose -u*w + 2*w + 420 = 0. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 13*q - 41. What is d(18)?\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -5*g**7\/14 + 4*g**3 + 14*g. Find the second derivative of r(c) wrt c.\nAnswer: -300*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267*v - 357*v + 145*v - 8.\nAnswer: -479*v - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 j when four letters picked without replacement from ojfffljflefejfeegffe?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h**2. Let k(s) be the third derivative of -s**5\/15 + s**3 + s**2. Let f(a) = 9*a**2 - 13. Let u(t) = 6*f(t) + 13*k(t). What is u(l(g))?\nAnswer: 18*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10101 - 90907\/9. Let i = 0.3 + -0.6. Which is the third biggest value? (a) f (b) 0.6 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.4 or -10.2?\nAnswer: -10.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/9 + 32*z**2\/9 - 32*z\/3.\nAnswer: -2*z*(z - 12)*(z - 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 217359\/(-6)*8\/(-30) - 360\/900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*n**3 - 65*n**2 - 40*n + 60.\nAnswer: -5*(n + 2)*(n + 3)*(3*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 20 = 38. What are the prime factors of 0 + (-13)\/(j\/(-516)*4)?\nAnswer: 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 256, 209, 122, -11, -196, -439, -746?\n\"Answer: -i**3 - 14*i**2 + 2*i + 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10*1 + -2)*1. Let w = f - 6. Suppose 4*d - 3*k = 86, 3*d = 7*d + 4*k - 72. Solve d = 6*v - w*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and -27184.\nAnswer: -27183.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t + 14. Let o be f(10). Differentiate o*n - 2 - 1 - n + 2 with respect to n.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 5, 546884 in increasing order.\nAnswer: 5, 13, 546884","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**2\/9 + 20006480*k\/9 + 50032405248800\/9 = 0.\nAnswer: -5001620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2461 = -1252*k + 27530 + 17585 for k.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -120188 divided by -30047?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -191 + 104*h - 106*h + 675 to v*h + o and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 125 and 61210?\nAnswer: 1530250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1573?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.2, 1\/44, -5, -4?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 16299*-75\nAnswer: -1222425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 3802 = 3195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10589)\/(-191250) + 1*(-4)\/72. Are 1 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 572*o - 394 = 553*o - x, -2*o = 2*x - 32 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -1 - -1 - -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -242*p**5\/3 + 13816*p**4\/3 - 14614*p**3\/3 - 9784*p**2\/3 + 4952*p - 1344 = 0.\nAnswer: -1, 6\/11, 1, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83339.\nAnswer: 83339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -43579d (base 16) in base 11?\nAnswer: -2544899","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*l - 18*l = 4*c - 10, -c = 5*l - 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9097.\nAnswer: 11, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*i + 6*i - 6*i + 5 + 1 to the form t + o*i and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y + 60. Let k be h(0). What is the highest common factor of 24 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 9:25 AM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -31558289*0.06\nAnswer: -1893497.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-6)*(4 + 40 - -7). Let d(z) = 4*z**2 + 8*z + 3. Let i be d(-5). Let n = p - i. What is the least common multiple of n and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -39*x**3 - x + 9 + 4 + 8*x**2 - 7*x. Let y(f) = -26*f**3 + 5*f**2 - 5*f + 9. Let h(a) = 5*i(a) - 8*y(a). Differentiate h(o) with respect to o.\nAnswer: 39*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10.304 + 5.004. Let g = 0.97 + 3.33. Let h = g + l. What is the nearest to 0.1 in h, -4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/2 - 15\/2. Let d(p) be the third derivative of -p**5\/60 - 3*p**4\/8 - p**3\/3 + 29*p**2 + 2*p. What is the units digit of d(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i + 18 = -0*i. Put -16, i, -5 in ascending order.\nAnswer: -16, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-70) - ((-170)\/(-525))\/((-444)\/67266).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152015458.\nAnswer: 2, 7, 661, 16427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and 2285.2651.\nAnswer: 2285.4651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 + 2.6. Let c = i - -0.3. Let p = c - -2. Sort p, -2\/11, 2.\nAnswer: -2\/11, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/3*5\/(-1260)*9. Which is the nearest to 2? (a) -0.06 (b) k (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1841019, 1841020, 1841023, 1841028, 1841035?\nAnswer: 1841044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 208 and 1118?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -154729, -154147, -153171, -151795, -150013, -147819?\nAnswer: -145207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51 + -51. Suppose b = -3*t + 133 + 194. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -24*w. Let a(p) = -p**2 + 1. Let g(t) = -2*t**2 + 1. Let u be (-3 - -6) + -5 + 3. Let m(z) = u*a(z) - g(z). What is m(r(l))?\nAnswer: 576*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 787, -2\/5, -9303?\nAnswer: 787","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1815991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -10. Suppose -2*k - 3*f = f - 194000, -5*k + m*f = -485000. What is k rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1467, 264, 3145, 7176, 12357?\n\"Answer: 575*d**2 + 6*d - 2048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 134909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of r**5\/40 - 7*r**4\/32 - 9*r**3\/8 - r**2. Let f(l) = 0. What is l?\nAnswer: -1, 9\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -475 + 480. Which is the second smallest value? (a) v (b) 0.1 (c) -0.169\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1041433094.\nAnswer: 2, 13, 29, 181, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 25*v**4 - 790*v**3 + 1205*v**2 - 140*v - 300 = 0.\nAnswer: -2\/5, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 0.1, 29, 34, -1\/12, -14 in increasing order.\nAnswer: -14, -2\/11, -1\/12, 0.1, 29, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 9*j + 15. Let n(w) = 5*w + 7. Let t(y) = 6*l(y) - 11*n(y). Let v be t(5). Solve -g + q - 5 = 0, -2*q = -v - 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 11*w + 5. Let y(q) = 9*q**2 + 30*q + 92. Let l be y(-3). Let c = 92 - l. Determine m(c).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81441109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 12 = -3*k, 242*k + 2*r = 245*k - 7 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 2 - 6. Let d = a + -9. Put 3\/2, d, -4\/5 in ascending order.\nAnswer: d, -4\/5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i = -2*i - 472. Suppose 3*m - 391 = i. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mk when two letters picked without replacement from nknmkz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/3)\/2)\/((-16)\/(-72)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of g**4\/12 - g**3\/3 + 19*g**2. Let n be y(3). Suppose n*m - 10*m + 420 = 0. Is 14 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199169\/7 + (510\/119)\/15 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and 12560183.\nAnswer: 12560185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o - 14. Let b be c(14). Calculate the greatest common divisor of 112 and b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c - 28. Let n(k) = -6*k**2 - 10*k + 81. Let v(h) = -3*m(h) - n(h). Give v(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 8846.\nAnswer: 26538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2264 + 6791\/3. Sort 0.1, d, -2\/9, 2, -1 in descending order.\nAnswer: 2, 0.1, -2\/9, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h**3 - 10*h**2 + 12*h + 5. Let i(v) = 4*v**3 - 11*v**2 + 13*v + 4. Let j(c) = 4*i(c) - 5*y(c). Is j(-6) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 240 and 126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29269?\nAnswer: 29269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1862 and 42.\nAnswer: 5586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2104454895 to the nearest integer?\nAnswer: 45874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/49278 and -151\/748458.\nAnswer: 142955478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 261.235 - 0.235. Let c = 266 - n. What is the biggest value in c, 22, 0.5, -5?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3014*h**4 + 5*h**3 + 2*h**2 + 977*h - 13?\nAnswer: -36168*h**2 + 30*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90 and 3177950.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*u - 9 + 13 = 0, -4*h - 5*u = 10. Solve h = 133*t - 136*t + 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -53862, -54088, -54466, -54996?\n\"Answer: -76*f**2 + 2*f - 53788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - 21\/(-9))*-6. Let v be (-20 - -22)*1\/n. Let i be 67\/1 + (-1)\/v. What is the greatest common divisor of 17 and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 298127 to the nearest integer?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 v when four letters picked without replacement from {v: 1, d: 3, i: 5, c: 3}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 17, w: 1}. What is prob of sequence eww?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 902 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 215868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/(-20) + (2565\/60 - 8). Determine n so that -3\/2 - 12*n**4 + 8*n**5 - 9\/2*n**2 + 19\/2*n - o*n**3 = 0.\nAnswer: -1, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -98632\/21 + 4695. Let t = -10\/7 - s. Find k such that -1\/3*k**2 + 1\/3 - 1\/3*k**3 + t*k = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(95) - 1*sqrt(95))*1)\/((-2*sqrt(240))\/sqrt(12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(170) - -4*sqrt(170)))\/(sqrt(160) + (sqrt(160) - (sqrt(160) + (sqrt(160) - sqrt(160)*-1)))).\nAnswer: 5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -353 = 7*l - 374. Solve -l*a + 9 = -4*x - 6, 2*x + 25 = 5*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from uuuuuuuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 559 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.960181 + -0.039819. Let s = -10 - -14. Which is the nearest to 1\/3? (a) 3 (b) 3\/2 (c) s (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**7*j)\/j*j**3)**(-3\/10))**39 assuming j is positive.\nAnswer: j**(-117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -26*t**5\/7 - 95*t**4\/7 + 512*t**3\/7 + 1613*t**2\/7 - 2712*t\/7 - 6192\/7 = 0.\nAnswer: -4, -43\/26, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**5 + 0*z**5 - 2*z**5 + (-4*z - z**3 + 4*z)*(-73*z**2 - 2670 + 2670).\nAnswer: 72*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-8) - 1) + 10621\/(-988).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 449656, 899317, 1348978, 1798639, 2248300?\n\"Answer: 449661*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/6*0)\/2. Let k be 172\/36 - (-2)\/9. Put k, 4\/9, t in increasing order.\nAnswer: t, 4\/9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f = 704 + 27. Let k(t) = 13*t - 43. What is the remainder when k(f) is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/3 + 153970*d\/3 + 5926690225\/3.\nAnswer: (d + 76985)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 153232 and 84309?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 24\/959975 and -33\/380.\nAnswer: 3839900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96861 and 97639?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -532.22 - -537. Let n = g - 0.78. Suppose r = -0*r - 3. What is the third biggest value in 4\/9, -2, n, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 124918 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1622?\nAnswer: 2, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-18 - -38) + -8 - -23?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.3 > 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 122 and 30.\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 7*m**2 + 8*m + 3. Let w be h(-8). Suppose 0 = w*b - 3 - 6. What is the remainder when b is divided by 0 + 3 - (3 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p - 2*d - 33, -7*p + 307 - 149 - 206 = 3*d for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 833 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1200012 + 22?\nAnswer: 1200111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + (sqrt(325) + -2)**2 + sqrt(325))*3 - (-1*sqrt(3328))\/(sqrt(144)*3).\nAnswer: -993 + 409*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wuuwubwwwwwsu. What is prob of picking 1 s, 2 w, and 1 u?\nAnswer: 84\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -43*m + 35 - 17 - 16 as r + h*m and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 355201813.\nAnswer: 31, 37, 53, 5843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1573) - (sqrt(1573)*2 - sqrt(1573))*-2 - sqrt(1573)) + -2)**2 + 4.\nAnswer: 352*sqrt(13) + 100680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -9. Let j = 11 + f. Find the second derivative of -j*p**2 + 3*p**2 + 3*p**2 - p wrt p.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 833a7 + 4?\nAnswer: 833ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -8*a**2 + 5*a - 1939. Give n(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 333*t**3 - 387*t**3 - 1 + 0*t**2 - 18*t**2 as v + j*t + q*t**3 + o*t**2 and give q.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*z + 2*z - 372 = 0, z = m - 367. Calculate the highest common divisor of m and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101302323 + 0?\nAnswer: 101302323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 117\/11 or 11?\nAnswer: 117\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-4)*12\/10. Suppose 5*k - a - 7 = 6, 2*a = -s*k. Is (k\/(-4))\/(5\/(-470)) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*i - 2 = 0. Let o be (-5 + 5)\/(i + -1). Solve 3*c - 4*q - 6 - 1 = o, -5*q = 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 595*k + 1360 = 596*k. Is k a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8, 48, 4 in descending order.\nAnswer: 48, 8, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241597 is divided by 30196.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*r = -r + 262, -5*s - 4*r = -295. Let y = s + -61. Suppose y*c = 7*c - 5. Which is smaller: c or 0.032?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 8*y**3 - 6*y**2 - 6*y + 6. Let q(d) be the first derivative of -d**4\/4 + d**3\/3 + d**2\/2 - d + 237. Calculate -5*f(u) - 30*q(u).\nAnswer: -10*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 3*q + 18 = 0, 5 = -4*q + 21. Suppose 0 = -c*x + 2*d + 14, -x - 2*d = -12 + 2. Let s be 2\/8 + 6\/x. Solve -3*v - s = 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 354124 and 4460?\nAnswer: 892","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 127*h + 3. What is the tens digit of i(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -215926*p**2*x**2 + 2*p**2 + 78*p*x**3 - 661295*p*x wrt x?\nAnswer: -431852*p**2 + 468*p*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27789)\/(-62172) + (195\/260 - (-1 - (-15)\/6)).\nAnswer: -10\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6776)*1*-2 - (-1*(sqrt(6776) + sqrt(6776)*-2) - sqrt(6776)))\/(-3*(sqrt(8) + sqrt(8) + 5*-1*sqrt(8) + -4*sqrt(40)\/sqrt(5))))**2.\nAnswer: 484\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 3*h**2 + h + 1. Let m be j(3). Suppose m*x + 17 = -p, 5*p + 0*p - 15 = 0. Put 1, x, 0 in increasing order.\nAnswer: x, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -18 - 2. Suppose 0 = -4*c - 1 + 9, -1299992 = a*s + 4*c. What is s rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6616 (base 13) to base 8\nAnswer: 33607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9469)\/(-15596) + 12\/(-14)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and -80.6?\nAnswer: 48.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5*2\/3*174\/(-4). What is the greatest common divisor of c and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/m**(-2\/9)*m*m))**14)**(11\/4)*(m**1\/m)**24*m**6\/m**(-3) assuming m is positive.\nAnswer: m**(-689\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, c: 2, o: 4, r: 3, v: 3, y: 3}. What is prob of sequence cy?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tsoottso. What is prob of picking 1 o and 3 t?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 + -0.48. Let f = l - 0.82. Let s = f + 1. Which is the second biggest value? (a) 5 (b) -1\/4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**3 - 34*d + 34*d.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -4*q**3 + 24*q**2 + 13*q + 441. What is u(8)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 289191934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1280)\/544*14025\/(-1375).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-23)\/(-644))\/(4\/8).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**3*b)\/(b\/b**8)*b**(-3)\/(b*b**(4\/9)*b))**(-47) assuming b is positive.\nAnswer: b**(-2350\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, n: 1, t: 1, l: 1, r: 1}. What is prob of sequence rnlt?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 195 - 195.087. Let m = d - 0.113. What is the smallest value in -4\/3, m, 0?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 30524302 and 11.\nAnswer: 30524313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p = -86*p + 156 + 78 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1529*a - 677*a = 687*a + 3135 for a.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 10*s = 2, -2*v - 8 = -167*s + 165*s for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -120.44 - -1.44. Let x = 118.9966 + u. Round x to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 8:03 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 - 5\/2*i**3 - 1237\/4*i**2 + 373\/4*i = 0. What is i?\nAnswer: -124, -1\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -59*x**6\/15 + 3*x**3\/2 - 3*x**2\/2 + 88*x. What is the second derivative of z(h) wrt h?\nAnswer: -1416*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 285450 divided by 5.\nAnswer: 57090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/8, -0.4, 12, -10, -7, -4?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 48 + 201. Let k(g) = 83*g - v*g + g**2. Let w(l) be the third derivative of -l**5\/60 - 19*l**2. Give w(k(c)).\nAnswer: -c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48227?\nAnswer: 29, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7290 and 915.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a millisecond in microseconds?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -85321384 greater than or equal to -85321381?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 3*p + 42*l + 42*l - 81*l = -23 + 52, 27 = 3*l for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 1030 = 3*j. Suppose -3*q + 1102 - j = 0. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -60, 1.1, -1\/375 in increasing order.\nAnswer: -60, -1\/375, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 1 + sqrt(200) + sqrt(200))*2 + (-3*(0 + sqrt(200) + sqrt(200)) - sqrt(200)) + -5 + -2)**2 + -4.\nAnswer: 540*sqrt(2) + 1877","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17360.691 + -17372. Round f to 1 decimal place.\nAnswer: -11.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.985651 and 1226.605?\nAnswer: 1228.590651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of c**7\/21 + 7*c**4\/8 - 6*c**2 + 9. Let r(w) be the second derivative of u(w). Find the second derivative of r(b) wrt b.\nAnswer: 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-15) - 10\/(-75) - -3. Let j be ((-2)\/(-4))\/(l\/6). Let i = j - -19. Is i a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i + 88. Give y(31).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26.9 * -23.97.\nAnswer: 644.793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-5*1*(-4*-3*sqrt(1100) - (-1*sqrt(1100) + -4))*3)**2.\nAnswer: 234000*sqrt(11) + 41831103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 116368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12833, -25667, -38527, -51425, -64373, -77383?\nAnswer: -90467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**2 - 2*u + 321. Let p(d) = -10*d**2 - 11*d + 1606. Give 11*f(j) - 2*p(j).\nAnswer: -2*j**2 + 319","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 1, -61 in descending order.\nAnswer: 5, 1, -1, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223969 is divided by 31965?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 60\/24)\/((-1)\/6). Let h(g) = 10*g**2 - 156. Let i(z) = -2*z**2 - 2. Let d(l) = b*i(l) + h(l). Differentiate d(p) with respect to p.\nAnswer: 32*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*i + 13*i + 198. Suppose i = 5*d - 29. What are the prime factors of d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1250443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) - sqrt(204)*1)*3*-6)\/(6*sqrt(12)*1*-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -123*u + 2652*u**2 + 2660*u**2 - 10626*u**2 + 2654*u**2 + 234 + 2663*u**2 = 0.\nAnswer: 2, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 177397?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-1))**(-29)*i\/(i**(2\/3)\/i)*i*i*i**(-7))**36 assuming i is positive.\nAnswer: i**(-2220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 98 = 48*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.8 - -5.35. Let x = i - -0.25. Which is the closest to 0.5? (a) -1\/4 (b) -3\/2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-24)*q**(-8) assuming q is positive.\nAnswer: q**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.9 + 20.9. Let y = 36 + -20. Let s = y - m. Sort 3\/2, s, -2\/9 in increasing order.\nAnswer: s, -2\/9, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p + 12. Let s be c(0). Suppose 0 = -2*b - s*b + 8988. What are the prime factors of b?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.05347 - -7.03. Round l to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, c: 2, j: 3, m: 2, e: 3}. What is prob of sequence mmej?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 36?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -27, -89, -129, -135, -95, 3?\n\"Answer: 2*j**3 - j**2 - 73*j + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 122795873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3008?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -28 in 1, -0.3, 13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37840 = -506*y - 649*y + 715*y for y.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of b**4\/12 - 5*b**3\/6 - b**2\/2 - 53*b. What is the remainder when 188 is divided by a(10)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**9*(l\/(l**(-2)*l)*l)\/l*l**(-10)*((l*l\/(l\/l**(4\/3)))\/l*l)\/l)**(1\/8) assuming l is positive.\nAnswer: l**(7\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + 0 - -2 - (-1 + -1). Let h be -1 + 2 - m - (5 - 6). Let q(b) = -3 + h + 3*b**2 + 5*b**2 + 8*b**3 - 5*b - 9*b**3. Calculate q(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-9 - (11 + -17)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.13 and -54?\nAnswer: 7.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11419226?\nAnswer: 2, 7, 13, 62743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1607.8 + 1606. What is the closest to -1\/3 in u, -4, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -52*d - 64. Give m(6).\nAnswer: -376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1574765177?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -51539?\nAnswer: 25769.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1899796514?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 7*v + 4. Let w be p(-5). What is the tens digit of (-27)\/63 + 776\/w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -t**6\/120 - t**5\/12 + 5*t**4\/24 - t**3 - 7*t**2. Let i be r(-6). Suppose -5*g + 90 + 555 = i. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of q**4\/12 - q**3\/6 - q**2 + 2*q. Let v be b(3). Solve -v*u + 2*u = 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 51 - 524228?\nAnswer: -524187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 63, 246, 551, 978, 1527, 2198, 2991?\n\"Answer: 61*d**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 3*o. Let f = o + 1. Let b(j) = 7*j**3 - 6*j**2 + 6*j - 1. Let q(w) = -7*w**3 + 5*w**2 - 5*w + 1. Let r(x) = -3*b(x) - 4*q(x). Give r(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 183*j**2 + 238*j**2 + 195*j**3 - 156*j**3 + 211*j**3 wrt j.\nAnswer: 1500","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (97 + 5900\/(-60))*-2*1\/16*-66.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*-5*(1 + (-40)\/25). Find n such that -n**4 - 43*n**2 + v*n**3 + 46*n**2 - 6*n - 2*n**4 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/10 of a second?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -21, -47, -77, -111, -149, -191, -237?\n\"Answer: -2*l**2 - 20*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fw when two letters picked without replacement from {q: 2, w: 8, f: 4}?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (11 - 3) + -3 + 0. Suppose -2*o + f*o = 4*b - 668, -3*b = -4*o - 494. Suppose -4*v + 209 = 5*s + 39, 0 = 5*s - 3*v - b. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80 - 57\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 344 and 147117104?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -150 or -151?\nAnswer: -150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27\/2 + 14. Which is the closest to -2? (a) -8 (b) 1\/3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 129085047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**2 + p**3 - 1 + 3*p**3 - 6*p**3 + 14*p**2 to w*p**2 + o*p**3 + x + l*p and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 87 + -88. Let w be (22\/8 + q)*(-4)\/17. Is w greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 3:48 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -23236497593 + 1\nAnswer: -23236497592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 3:24 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p**3 - 14*p**3 + 4*p**3 + 10*p**3.\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - w + 5 + 1, 4 = 2*o + 5*w. Suppose 0 = -0*z - o*z + 10. Suppose z*h + 36 = 201. Is 14 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.2, 17\/6, -202, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(3*a - 3*a - 2*a**2) + (-2*a**2 - a**2 + 2*a**2)*(4 - 3 - 2) + 2*a**2 - 2*a**2 + 2*a**2 + 4*a**2 + a**2 - a**2.\nAnswer: 11*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-37)\/((-1780)\/(-255) - 7)?\nAnswer: 3, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327*d + 1451 = 7991 for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*b - 20 = -3*w - 73*b, -16 = -2*w + 2*b for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -55*n + 20. Let s(x) = -x + 1. Let a(k) = h(k) + 6*s(k). What is the tens digit of a(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/7)\/h)**(-9\/8))**2 assuming h is positive.\nAnswer: h**(45\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.132 - -0.056. Let h = a - 31.024. What is h rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 272 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + x = -32, 0*p - 4*p + 3*x - 74 = 0. Let n be -1 + 2 - (-1 + 29). Let b = p - n. Is b a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -1. Let i(k) = -k**2 - 6*k - 8. Let n(q) = i(q) - 2*l(q). Let z be (22\/110 + (-41)\/5)\/2. Let a be n(z). Solve -a*j = -6, -3*v + 6*j - 15 = j for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 192*f**2 - 151*f - 33. Calculate y(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3249574 - 3249647.000086. Let o = 73 + n. What is o rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 0.5 (c) 695\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 3*a**2 - 5*a - 2. Let z be g(-4). Suppose -7*d + z*d = 0. Suppose -2*y - 3*s = 0, d*y + 5*y = 2*s. Let i(x) = -x + 6. Determine i(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 62 + 4?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -729\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 431944451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12884 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*j - 68 + 11. Suppose -4 = -h, 33 = x + 4*x - j*h. Solve -9 = -2*k + 3*r, 3*k + 5*r + x = -6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7206 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-72)\/(-9) - (1 - -2). Let l be 5\/(-9 + 4) - 5\/(-1). Solve -21 = -2*v + o + l*o, 0 = f*o + 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13091?\nAnswer: 13, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5 = -13. Let s be (3\/(-1) - q)*1. What is the lowest common multiple of 3\/(3*s\/(-2)) and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 88 and 264.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 602278.5g in kilograms?\nAnswer: 602.2785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.7, -5, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 69\/5 - 3\/5*m**2 - 66\/5*m.\nAnswer: -3*(m - 1)*(m + 23)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 616481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-1\/9))\/u**(2\/35)*(u*(u*u**(2\/5))\/u)\/u*u**(-1) assuming u is positive.\nAnswer: u**(143\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 235 - 136. Let j = k - 60. Let p = 39.0043 - j. Round p to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 4*q**2 - 5*q - 5. Let f be i(5). Sort -3, -2, f, 0 in descending order.\nAnswer: 0, -2, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 312160 (base 8) to base 4.\nAnswer: 121101300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3246438159 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/6*8\/((-24)\/(-9)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -3, 4 in ascending order.\nAnswer: -5, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 12 = -t. Let j(z) = z**3 - 6*z**2 + 4*z + 12. Let q be j(5). Solve 2*v - 2*x = -4, v - t*x = -0*v - q for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158168968*i**3 + 58 + 158168967*i**3 - 58 + 523*i**2.\nAnswer: -i**3 + 523*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 162008\/93 - 1742. Let o = u - 212\/1209. Which is the third smallest value? (a) 0 (b) 5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + d = 3*q + 237, 276 = -5*q - 230*d + 224*d - 91 for q.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-16\/7))**(3\/10))**(-10\/9) assuming c is positive.\nAnswer: c**(3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 12 = 2. Let s = 10 - h. Solve q - 4 = -s for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-10 - -11 - 20 - -12 - 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -21115800 rounded to the nearest one million?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -145907496 by 294.\nAnswer: -496284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t + 9. Is 9 a factor of x(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*b - 8272 = -9973 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 233*k - 227*k + 24 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 80 = 5*m + 4*q, -m - 3*q + 20 = 0. Solve 3*w - 9 - 19 = -4*h, -2*h + m = 3*w for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06238 to 3 dps.\nAnswer: 0.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.429 rounded to one decimal place?\nAnswer: 16.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 10:04 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 7*k - 38. Let t be y(-11). Suppose 3*q = 57 - t. Calculate the greatest common divisor of q and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -6*n**2. Let z(h) be the third derivative of -h**5\/30 + 6*h**2. Give -6*d(t) + 17*z(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x + 25. Let q be l(8). Which is the second smallest value? (a) q (b) -4 (c) 0.3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192*h**2 + 189*h**2 - 379*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/9 + 136*n\/9 + 130\/3.\nAnswer: 2*(n + 3)*(n + 65)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -21, 2, 1 in ascending order.\nAnswer: -21, -3, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16\/(-10)*(-3)\/12. Let j = 12 + 10. Let x = j - 22.3. Which is the second smallest value? (a) i (b) x (c) 0 (d) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*z + 20 = 48*z. Solve -k + z*k = -12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50061 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of 0 + 1\/10*c**5 + 2*c + 5\/2*c**2 + 0*c**4 + 0*c**3. Find the first derivative of k(b) wrt b.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-6)*2\/(-2). Let v = -2 - 2. Let l(u) = -2*u**2 + 27*u + 13. Let r be l(14). Put b, r, v in descending order.\nAnswer: b, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 + 0.1. Let y = 0.04 - -0.96. Suppose -2*k = -2*o - 12, -5*o + k - 8 = 2. What is the nearest to o in -0.4, s, y?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 16.7. Let w = -0.7936 - 0.0064. Let p = q + w. What is the smallest value in -3\/8, 0.3, p?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 6. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r + 42. Let h be t(0). Suppose 6*l - h = 4*l. What are the prime factors of l?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10414 and 1778?\nAnswer: 72898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3 + 42\/7)\/((-4)\/(-22584)).\nAnswer: 2, 3, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 84.197 or -96?\nAnswer: 84.197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/7 (b) 3\/5 (c) 3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1260 and 35700336?\nAnswer: 178501680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from affaa. Give prob of picking 2 f and 2 a.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2943914150 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*s + s + 2 + s**2 - 2*s**4 - 6*s + s**4 as j*s**2 + m*s**3 + b*s + f*s**4 + c and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1015 and -0.7?\nAnswer: 1015.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/20)\/((-8)\/(-32))*2.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - 5*d + 415. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1754*(-476)\/(-32) - 129\/(-516).\nAnswer: 3, 13, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/10 and -9\/1553882.\nAnswer: 7769410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -0.4, -92?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i + 1 + 6 - 4*i. Let s be v(2). Solve -s*u + 2*m = 22, -2*u - u - 17 = -m for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + -10191.\nAnswer: -10194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 23 = -2*r, 19*k - 14*k = -5*r - 30 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b + 15 = 5*b. Let k(g) be the second derivative of g**3\/2 - g**2\/2 - g. Let q(s) = -s. Let n = 0 + -1. Give b*q(r) + n*k(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 11:57 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 86484 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 165 - 165.2. Which is greater: v or -11?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.01 - 0.41. Let q(n) = 38*n + 1. Let f be q(-2). Let b = f + 77. Sort b, -1\/5, v.\nAnswer: v, -1\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11203\/45 - -2246\/9. What is the closest to 4.5 in r, 2\/19, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 73 + 3 = 0. Calculate the lowest common multiple of z and (10 - 0) + (-65 - -58) - (-1 - 2).\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 457848 to the nearest integer?\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 419617842?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n - 2*n + 4*n)*(102443 - 9*n - 102404 - 8*n).\nAnswer: 17*n**2 - 39*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8588148841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -95, 315, 11?\nAnswer: 315","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 608 + -606 - (46*8\/12)\/15.\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1903 * 18.3188\nAnswer: -34860.6764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((150\/(-9))\/5)\/(8\/(-12)). Is (m\/(-4))\/((-35)\/(-40) - 1) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 6 = 2*m - 3*k, 10 = -2*m + 5*k. Suppose -5*q = -m*q - 40. Solve -2*w + q = 2*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 3*i + 56 = 0, -17*i + 249 - 20 = 5*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1653962 (base 13) to base 5.\nAnswer: 3321034224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7368 + 7368 - 261*w)*(3*w**2 - 1 + 1) + 3*w**3 - 10*w**3 - 9*w**3.\nAnswer: -799*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 792511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-648)\/(-864))\/(49\/(-2)*21\/28)?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7\/7848 - -52055833\/54936. Let p = 946 - u. Which is bigger: p or -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 10*o**3 + 11*o**2 - 13. Let b be n(-4). Is b smaller than -477?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - b = -19, 10 + 1 = 2*d - 3*b. Suppose 0 = 2*j - d*j - 108. Find the common denominator of 26\/5 and ((-7)\/((-140)\/j))\/((-3)\/8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/48)\/((-148)\/111)*-8*148.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 7) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/10 + 173*g\/5 + 344\/5.\nAnswer: (g + 2)*(g + 344)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -80 - -2.225\nAnswer: -77.775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 52006565 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 k = -57032536 + 57032497.0000048. Let j = -39 - k. What is j rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*q = -4, 0 + 14 = 2*a + 5*q. Suppose -2*n + 30 = -z, a*z + 32 = 3*n - 12. Is n a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1, -29, -59?\n\"Answer: -30*p + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -8\/5*o**2 - 18\/5 - 6*o = 0.\nAnswer: -3, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + f + 1)*(3 - 3 - 3*f).\nAnswer: -3*f**2 - 9*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 1.0594 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u + 27 = -63 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.767 to 2 dps.\nAnswer: 1.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -893, -7236, -24461, -58010, -113325, -195848, -311021?\n\"Answer: -907*k**3 + k**2 + 3*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 572635 is divided by 143158.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 904*g*p**3 - 2*g*p**2 + 269*g - 8*p**3 - 172 wrt p?\nAnswer: 2712*g*p**2 - 4*g*p - 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**4 + j**3 + j**2 - 7*j. Let m(u) = 4*u**4 + 4*u**3 - 35*u**2 - 28*u + 2216. Let x(k) = 4*i(k) - m(k). What is the first derivative of x(f) wrt f?\nAnswer: -32*f**3 + 78*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52247.58 kilometers in nanometers?\nAnswer: 52247580000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tgkk when four letters picked without replacement from tekttgegkt.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2349520264 to the nearest integer?\nAnswer: 48472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 + 36 = -2*n - 5*v, -2*v = 2*n + 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57744 + 22743 = 3*d - 57621. What is the thousands digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1911 + 10\/(-2))*(-1)\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/7)\/((-215)\/40635). Which is smaller: x or -272\/5?\nAnswer: -272\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20703 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24219725*c**3*h**2 - 4838731*c**2*h**2 - c**2 wrt c?\nAnswer: 145318350*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -431, -603, -771, -935?\nAnswer: -1095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7927 by -7927.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -25 + -202 + (9 - -4). Put 18, v, 1 in descending order.\nAnswer: 18, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 3. Suppose v*k - 4*i = 11 - 35, -2*i + 6 = 0. Put -1, k, -5 in decreasing order.\nAnswer: -1, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 15, -5, 6, 21, -23 in ascending order.\nAnswer: -23, -5, -3, 6, 15, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 16, 0.4, 474, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 6, -2.1, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + h - 7 = 0, 20 = h + 4*h. Suppose -20 = 36*q - 32*q + 2*j, 4*q + 14 = j. Sort -1, r, q.\nAnswer: q, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15423 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 - 8 + 2 + 0 - 1 + (2 + 2 - 2)*(-1 + 3 - 3))*(n**3 - 95*n**2 + 95*n**2) + 2*n**3 - n**3 + n**3 to the form c*n**3 + z*n**2 + y + o*n and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 15700 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14709293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 317, -1712, -3 in descending order.\nAnswer: 317, -3, -1712","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1264 - 1256. Let u(d) = -d**3 - 5*d**2 + 5*d. Let x(a) = -2*a**3 - 8*a**2 + 8*a. Give s*u(t) - 5*x(t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*2 + -2 - 0. Let p(j) = 2*j**3 - j**2 + 2*j - 1. Let o be p(1). What is the units digit of 8 - o - (-2)\/w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s + 3. Let v be n(-2). Let j = 33 + -30. What is the closest to 3\/4 in j, -3\/5, v?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-28599)\/(-3))\/(-4*(-3)\/12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3102220 (base 4) in base 9?\nAnswer: 20437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -346.7 at least as big as -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 105 - 2995 - 856*u**2 - 306 - 5124 - 84 wrt u.\nAnswer: -1712*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -83.31075176 and -0.926.\nAnswer: -84.23675176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 16*q**2 - 3*q - 8. Let l be p(-16). Solve 0*r + 5 = -2*r - t, l = -3*r + 5*t for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n + 5*y + 3 - 5, -4*y + 8 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 160703*q**4 - 337*q**3 - 4670641*q**2 - q - 2 wrt q?\nAnswer: 3856872*q - 2022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 38857, 38831, 38805, 38779?\n\"Answer: -26*m + 38883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2 + 60*x + 134. Let h be t(-28). Sort 2, h, 0 in increasing order.\nAnswer: 0, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -406*(-38)\/(-1330)*-5?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-2 + -1*17). Let j = -2596172\/133 - -19520. Let n = j + u. What is the second smallest value in n, 0, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 6 - (-21 + (21 - 10))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/11 - (-644)\/154. Suppose -d - 21 = -m*n - 4*d, -3*n - 3*d + 18 = 0. Solve 5*r + 5 = 2*q, 0 = -3*q + n*r - 3 - 3 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 93551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -472963, -0.5, 1 in descending order.\nAnswer: 3, 1, -0.5, -472963","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1526 in 0.3, -136, 5?\nAnswer: -136","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12 + 87d?\nAnswer: 890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3672115 rounded to the nearest 10000?\nAnswer: 3670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 (base 3) in base 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {v: 7, e: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p**2 - 123*p - 4942. What is i(-25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f - 33. Let u = 64 + -37. Let b = u - 40. Let v be i(b). Calculate the highest common factor of 6 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 70 - 32. What is the remainder when x is divided by (-20)\/(5 - 7) + 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.19 + 0.29. Let j = -0.1 - 0. Which is the third biggest value? (a) r (b) j (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 675 and 810?\nAnswer: 4050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zoozoooozzo.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 3471?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 936, 1774, 2484, 3066?\n\"Answer: -64*m**2 + 1030*m - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7997341 a multiple of 1135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 6\/(60\/(-31)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - m = 9. Let r(u) be the third derivative of u**4\/8 - u**3\/3 - 3*u**2. What is the remainder when r(9) is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1939535 is divided by 646503.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15958 - -25503785354?\nAnswer: 25503801312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -39*v**2. Let k(n) be the third derivative of -n**5\/5 + n**3\/3 - n**2 + 80*n. Let y(x) = -3*x**2 + 1. Let p(b) = -k(b) + 2*y(b). Give g(p(s)).\nAnswer: -1404*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 322*q**2 - 582.\nAnswer: 644*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - 2*p)*(-12919 + 4964 + 2291 - 19627) as a + k*p and give k.\nAnswer: 50582","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 7*j = -480. Let a be j\/10 - (-9)\/(-15). Let p be (6\/(-27))\/(6\/a). Is -1 bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -20. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 0*z**2 + 0*z - 14\/3*z**3 + 9. Let r(c) = -2*c. Give r(b(x)).\nAnswer: 28*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 42812 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 789*h**3 - 2*h**4 + 5*h**2 - 2*h - 789*h**3 as o + z*h + w*h**2 + j*h**3 + n*h**4 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 683871.4ml?\nAnswer: 683.8714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 11 = -2*t. Let o(f) = -f**2 - 3. Let p(k) = -2*k**2 - 5. Let l(z) = t*p(z) - 10*o(z). Let l(b) = 0. What is b?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 8 = 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.4 times 6.47?\nAnswer: -54.348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -121 + 173. Solve w*l - 3 = 49*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.35635 < 5058?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1014530 divided by -11\nAnswer: 92230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -291, -292, -293?\nAnswer: -294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5)*a*(a\/a**(-2))\/a)\/(a**(-1))**(-23)*(((a\/(a*a\/a**(2\/5)))\/a)\/(a**(-5)\/a))\/(a*a*a*a*a**(-7)*a*a*a**(-1\/3)*a*a) assuming a is positive.\nAnswer: a**(-319\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = a + 6, -18*g = -4*g - 7*g - 9*g + 39*a + 234 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 - 71 - (-54 - 8)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1469.3 - -1327. Let g = s - -142. Is -3\/13 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*g**4 - 4470*g**3 + 7008*g**2 - 2784*g = 0 for g.\nAnswer: 0, 4\/5, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 17129.\nAnswer: -17132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 107*f**2 + 4*f + 4. Let x(m) = 5671*m**2 + 214*m + 214. Calculate -107*l(j) + 2*x(j).\nAnswer: -107*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -15. Let x = 0.025 - 23.025. Let z = x - -27. What is the closest to -1\/2 in 1\/2, z, c?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101.05 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 28 = -6*u. Let j = -7 + u. Suppose -35 = -j*o - 5*o. Calculate the least common multiple of 6 and o.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 900 and 84390.\nAnswer: 2531700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 53?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 9*u**2 - 5 + 0 - 2*u**2 + 6*u. List the prime factors of x(3).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -686.8562 to 1 dp.\nAnswer: -686.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 1650*y**2 + 192*y + 958. What is the tens digit of b(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2, 5, 3\/166, -2\/19?\nAnswer: 3\/166","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 60127, 120211, 180291, 240367, 300439?\n\"Answer: -2*k**2 + 60090*k + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)*-2*1 - sqrt(121))\/((sqrt(110)*-1)\/sqrt(10)).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1*0 + -2 + 10 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33518 (base 9) to base 4.\nAnswer: 11130110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y + 2. Let q(s) = s - 1. Suppose 3*n - 2 = 1. Calculate n*k(w) + 2*q(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 163056 and 1422.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-602)\/(-2408) - (5142\/26712 - 10\/(-105)).\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(-34)*n))**(1\/32)\/(n**44*n**(-1)*n) assuming n is positive.\nAnswer: n**(-687\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -q**4\/12 - q**3\/2 - 5*q**2\/2 - 16*q. Calculate f(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16e5 (base 15) in base 6?\nAnswer: -34512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*f - 319 - 51 = 495 + 70 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -52252 (base 6) in base 5?\nAnswer: -211031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16443601?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17)\/(-51))\/((-4)\/6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 205 or 21162\/103?\nAnswer: 21162\/103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153986.\nAnswer: 2, 7, 17, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 8*s**2 + 12*s. Let v be x(-1). Does 8 divide -40*(v + (-1)\/5*28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(-30)\/10 + 3 + 0. Suppose s = -2*l - l + 735. What are the prime factors of l?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 9*k - 3. Let z be f(9). Suppose g + 4*g = 3*s + z, 0 = -3*s - 3*g - 78. Let j = s + 39. Calculate the remainder when j is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-five halves of a century?\nAnswer: 27000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 44255 (base 6) in base 12?\nAnswer: 368b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((-4 - 0) + 4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202100 - 221022?\nAnswer: -1200122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z - 4. What is j(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a tonne in kilograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8\/22*99\/6 and 768.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 107727113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -n**5\/60 - 7*n**4\/24 + 29*n**3\/6 + 23*n**2. Let u be y(-10). What is the tens digit of ((-4 - u) + 6)\/((-6)\/(-304))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -748374 divided by 22678?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of w**5\/50 + 2*w**4\/15 + w**3\/3 + 2*w**2\/5 - 5*w. Factor q(c).\nAnswer: 2*(c + 1)**2*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*k**3 - 13 + 13)*(9*k + 8 - 8) as s*k**3 + p + m*k**2 + f*k**4 + q*k and give f.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 3 = 3*h, -t - 5*h + 0*h + 1 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((-5 - (-3 - -2)) + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/2288 and -9\/832?\nAnswer: 9152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -111, 21, 103241 in decreasing order.\nAnswer: 103241, 21, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(88)\/(sqrt(8)*-2)*-5 - ((sqrt(11) - (6*(sqrt(11) + sqrt(11) + -1))**2) + sqrt(110)\/(sqrt(40) + sqrt(10)))*6.\nAnswer: -867*sqrt(11) + 9720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0\/5)\/3 + (5693 - -1). Is 16\/7 - 2 - a\/(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 23223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = 4*z - 5*h, -3*h + 8*h = -3*z + 60. Suppose 5*m = 6*m + 304. Let n = m - -426. What is the remainder when n is divided by z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 4*b**2 + 5*b - 1. Let q be o(-5). Let n be (0 - q - 2)*-10. Let f(v) = -v**3 + 11*v**2 - 9*v - 7. Let l be f(n). Solve -t - 5 = -l for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 8*v + 10. Let m be d(9). Put -1, m, 5 in decreasing order.\nAnswer: 5, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -277.1 - -148.5. Let z = 129 + s. Which is the second biggest value? (a) -0.5 (b) z (c) 2\/17 (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*f - 20*f + 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.197 + 30.62743?\nAnswer: 29.43043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {s: 5, u: 8}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of 67*f**3\/3 + f + 4. Let n be i(1). Let a be 13\/39 + (-1018)\/(-6). Calculate the highest common divisor of n and a.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-4) - 459\/(-6). Let n = 88 - a. Suppose -639 = -n*w + 2*w. Is w a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -4\/5, -1\/19, 0.5, 0.2 in descending order.\nAnswer: 8, 0.5, 0.2, -1\/19, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -4, 2 in increasing order.\nAnswer: -4, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -4*u + 2. Let f(j) = -38*j + 20. Let s(b) = -f(b) + 10*z(b). Let n(d) = 0*d - d + 9*d. What is n(s(h))?\nAnswer: -16*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 4*d - 959 + 938, 0 = 4*x + 4*d - 36 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8440995 or -8440987?\nAnswer: -8440995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 + 8.9. Let q = 9 - t. Let v = 5 + -4.9. Which is the nearest to v? (a) q (b) -1\/5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p\/(p\/(p**2*p)*p))\/p)\/p*p)\/p**(-5))\/(p**(2\/11)\/p*p*p**(-6)) assuming p is positive.\nAnswer: p**(130\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 4)*(2730950*d - 2730950*d + 514*d**3) as y*d**3 + x + w*d + t*d**2 and give y.\nAnswer: 1028","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, y: 2, v: 1, z: 1, b: 1}. What is prob of picking 2 j and 1 z?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31.2 + -31.1. Let g be 16\/16 + (-18)\/14. What is the closest to d in 0.5, g, -1\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -6*c**3 + 2*c**2 + 3*c + 13. Let h be t(-8). Calculate the common denominator of 1\/5 + (-5 - h\/(-480)) and 11\/52.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -j**4\/24 + 13*j**3\/6 + j**2. Let c be s(13). Let 2\/5*m**2 + c*m - 2\/5 = 0. Calculate m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, -0.1, -31, -5\/3?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151 = 14*x + 291 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 3 + 4)*(j + 3 - 3) + 40 - 40 - 6*j)*(-1 + 1 - 2).\nAnswer: 14*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 123689495 to the power of 1\/2, to the nearest integer?\nAnswer: 11122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-168)\/(-56)*30\/(-5)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 70520 + -1607?\nAnswer: 66711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -2278.0486 to the nearest integer.\nAnswer: -2278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**4 + 108*g**3 + 303*g**2 + 198*g.\nAnswer: 3*g*(g + 1)*(g + 2)*(g + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31 and 2127561.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*j + 2*j - 12*j + 9*j**2.\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0)**32*s**5*s**(-2\/11)\/s assuming s is positive.\nAnswer: s**(42\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1164 by 6.\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1977\/112 - -11\/112. Find the common denominator of z and 63\/50.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 1\/10, 5, -41, -0.1?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5249\/372 - 7\/124. Let s = 126 + -234. Calculate the common denominator of (-16)\/s*(-46)\/8 and d.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-1 - 9\/(-12))*-4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/(-12)*16*8\/256?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 v when three letters picked without replacement from {k: 8, e: 2, v: 9}?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16954, -16955, -16956, -16957, -16958, -16959?\nAnswer: -16960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1082)\/(-10) + (-13)\/65. Let m = h - 221\/2. Which is greater: -4 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235306297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 4*f**2 + 4. Let k be y(-4). Let u = 79 - 77. Suppose -k*z = 5*t + 3, 5 = u*z - 3*t - 10. Solve -5*q + 2*v - 20 = z*v, -2*v = -2*q - 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 160*b**2 + 185*b**2 + 70*b**2 - 9 + 6 + 47*b**2 to the form c + h*b**2 + p*b and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/2 + 5521*n\/2 + 19348.\nAnswer: -(n - 5528)*(n + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 3. Let d = 13 - 10. Let a be q(d). Let h be 2\/3*(-15)\/(-2). Solve 0 = -h*z - a - 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b**3 - 4*b**2 - b + 1. What is the tens digit of v(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 25471, 8, -8, -5, 4, -1 in descending order.\nAnswer: 25471, 8, 4, 1, -1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1806587928.\nAnswer: 2, 3, 997, 8389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 - 2440001?\nAnswer: -2440013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30429 + -30427. What is the closest to 774 in 2\/11, k, -0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59604612959 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*o - 859 = 61. Let d(c) = -29*c**3 - c**2 + 4*c + 3. Let j be d(-2). Let n = -135 + j. What is the remainder when n is divided by o?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, c: 11}. What is prob of picking 2 c and 1 g?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((6*sqrt(5)*-1 - (sqrt(15)\/sqrt(3)*2 - sqrt(5))) + -4 + sqrt(320) + 2)**2.\nAnswer: -4*sqrt(5) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/((2\/2)\/1). Let j(s) = -s - 6. Let k(m) = -1. Let q(h) = j(h) - 4*k(h). Determine q(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66311490 by 5.\nAnswer: -13262298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 2:32 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -55.52495 and -22.\nAnswer: -77.52495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**3\/3 - 37396*q**2\/3 + 824648*q\/3 = 0. What is q?\nAnswer: -9371, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 212995*f*n**3*q*w + 9*f*n**3*q - 6970*f*n**2*q - 16*f*n**2*w + 3*f*w - 2*n**3*w - n**2*q*w - 6*n**2 + q wrt n?\nAnswer: 1277970*f*q*w + 54*f*q - 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 106.\nAnswer: -3\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i + 1. Let h(g) = 3*g**2 - 13*g + 6. Let k(d) = -h(d) + 6*w(d). Find the second derivative of k(r) wrt r.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -3. Suppose 7*a - 2*a + n*p - 1109 = 0, -2*a = -3*p - 455. What are the prime factors of a?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26361, -53066, -80445, -108834, -138569, -169986?\nAnswer: -203421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 2 + 5)*(-16*y - 6 - 1 + 5) to p*y + t and give t.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21483?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(22\/5)\/(j\/(j*j**(-16)\/j)))\/((j\/(j*j**3)*j*j)\/(j**(-24)*j*j*j*j*j)) assuming j is positive.\nAnswer: j**(-153\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 108 + -102 - (-1 + -10) - (0 + -4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 157902178 to the nearest integer?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of i**3 + 6*i**2 - 15*i - 444. Suppose d(s) = 0. What is s?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18813, 5, -0.22 in increasing order.\nAnswer: -18813, -0.22, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1933532960 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 13*c**2 - 10*c + 35. Let t(q) = -26*q**2 + 18*q - 68. What is -7*d(f) - 4*t(f)?\nAnswer: 13*f**2 - 2*f + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 745205 + -744693. Determine n, given that -1\/8*n**5 - 38*n**3 - 200*n**2 - p*n - 7\/2*n**4 - 512 = 0.\nAnswer: -8, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 542910 is divided by 499?\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5630.392 millennia in months?\nAnswer: 67564704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 248 + 6*3\/(-6). Suppose k - 1875 = -5*q. Let j = q - 63. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7564051.\nAnswer: 11, 687641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -17*v + 8*v. What is the third derivative of 595*n**2 - 1077*n**v - 28*n**6 + 674*n**2 wrt n?\nAnswer: -3360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319750 is divided by 1674.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 0.4 (c) 175\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v + 15. Let i be n(-9). Suppose 0 = 3*k + i - 21. Suppose s + 4 - k = 0. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -2 + (-68)\/(-16)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.2 - -0.98. Round w to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k - 38*k + 9*k = -765. Solve -25 = 5*d + 4*w, -2*d - 13*w = -k*w - 18 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 256 and 195936?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of i**6\/150 - 9*i**5\/100 - 11*i**4\/60 + 3*i**3\/10 + i**2 - 35*i. Factor t(h).\nAnswer: (h - 10)*(h - 1)*(h + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.503 + 16611.424705.\nAnswer: 16610.921705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1b - 30de?\nAnswer: -30f9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o. Let d(f) be the third derivative of -f**4\/4 + 7*f**2 - 2*f. Calculate p(d(q)).\nAnswer: -18*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 97444601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5523873.3ns to days.\nAnswer: 0.00000006393371875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-1\/9))\/l*l**(-2\/9))**(2\/15))**9 assuming l is positive.\nAnswer: l**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62, -3, -4, -5 in increasing order.\nAnswer: -5, -4, -3, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*j + 192 - 1171 = 176 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**4 - 87*q**2 + 2*q**3 + 2 - 5 + 89*q**2 to the form k + v*q + h*q**3 + u*q**4 + g*q**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 600366353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 472 = 3*y. Let l = y - 35. Let k = l + -22. Solve -k*g = 5*r + 13, 0*g - g + 4*r = -13 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16826?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - (13 - (16 + (-3 - 16))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v + 990 = -188. Suppose 2*i = 10, -2*a + 4*i = -i - 53. Let z = v - a. List the prime factors of z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 divided by -2\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 252032 divided by -2?\nAnswer: -126016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r = -18 - 20. Differentiate 6*w**2 - 20*w**4 - 16*w**2 - 165 + 10*w**r wrt w.\nAnswer: -80*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.418 + -3596?\nAnswer: -3592.582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47.903 - -0.222. Let h = -0.775 - l. What is h rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -z**7\/2520 - z**5\/5 + 20*z**2. Let x(o) be the third derivative of b(o). Let v(g) = g**2 - 15. What is v(x(r))?\nAnswer: 4*r**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of o**5\/30 + 3*o**2 - 51*o + 3. Let s(c) = -2614*c**2. Determine s(u(z)).\nAnswer: -10456*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/11 (b) 3 (c) -1386 (d) 0.2 (e) -46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 751727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v - 10*v**2 + 11*v**2 - 6*v in the form x*v**2 + q + k*v and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + 2*j - 6*j)*(2*j - 4*j + 4*j) - 7 + 8*j**2 + 7.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -103513, -206964, -310339, -413632, -516837?\n\"Answer: d**3 + 32*d**2 - 103554*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 21*((-624)\/84)\/13\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -19*i**2 + 27*i + 1. What is o(2)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-15\/2)*f)**(7\/12) assuming f is positive.\nAnswer: f**(-91\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5099\/684 - 33\/76. Suppose 3*f - 3*y + 83 = y, -3*f + 5*y = 88. Find the common denominator of (-5 + (-285)\/f)*(-2)\/3 and h.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.02865185 rounded to 3 decimal places?\nAnswer: -2.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 0.3. Let b = 0.2 - 0.3. Let w be (-2 + 3\/2)\/(1\/4). What is the closest to b in w, -3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62104 * -13\nAnswer: -807352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0 - 5 + 3 + 3 + (2 - 4 + 0)*(0 + 1 - 3) + 1 + 4 - 4)*(-4 - 13 - 22)*(0*c - c - 2*c).\nAnswer: 819*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(7 - 10) + ((-120)\/(-7))\/8\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -329 + 484. Suppose 6*i - 379 = o. Calculate the remainder when i is divided by 24\/1 + (0 - 1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-8)*1)\/((-10)\/4)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 525433 (base 7) to base 10\nAnswer: 90772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -566*i + 75. Let h(b) = -13587*b + 1792. Let c(j) = -4*h(j) + 98*p(j). Find the first derivative of c(a) wrt a.\nAnswer: -1120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33*k**2 + 2*k**5 - 60*k**2 - 1 - 7*k - 5*k + k wrt k?\nAnswer: 40*k**3 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 466\/5 - 1018\/15. Find the common denominator of l and -77\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mb when two letters picked without replacement from gmtmbbe?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 480107089.\nAnswer: 7, 11, 41, 152077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/23 in 0.64, 25.5, -4?\nAnswer: 0.64","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 5:22 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 3*g = 0. Suppose 4*i - 6*i + 12 = g. What is the units digit of (-2)\/(-3) - (-32)\/i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of s**3\/3 - s + 3. Let j be d(2). Suppose 0 = -j*k - k + 92. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80 and 3296.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of i**7\/3 + i**4\/4 - 3*i - 6. Let v(m) be the first derivative of r(m). Find the third derivative of v(j) wrt j.\nAnswer: 840*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2195788983 - -2195789870.0000527. Let c = 158.2 + -1045.2. Let y = c + l. Round y to 6 dps.\nAnswer: 0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*u**3 + 43*u**3 - 30*u**3 - 7*u**3 - 17*u**3 + 167*u**3.\nAnswer: 268*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - 10*l - 8. Let y be z(-9). Factor -m**3 - 3*m**2 - 1 + 2*m**2 + y.\nAnswer: -m**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -15 (b) -0.5 (c) 33 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 5*h + 5. Let c be f(4). Suppose b - 2*b - c = 0. Let d = b - -23. What is the highest common divisor of 33 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {t: 2, i: 1, h: 3, m: 3, v: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3466, 13821, 31084, 55261, 86358?\n\"Answer: y**3 + 3448*y**2 + 4*y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-2)\/28*184\/92)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1323611364 + -11?\nAnswer: -1323611405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/4)\/(4\/216). Let r(t) = -t**3 + 7*t**2 + t + 2. Let j be r(7). Calculate the greatest common divisor of j and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20685 to the power of 1\/2, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -184207781 divided by 6?\nAnswer: -184207781\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3121808 and -0.4.\nAnswer: -1248723.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 57 - (-67 - -60 - -84)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a tonne in kilograms?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*j + 504 = -50*j. Let c(v) = -6*v + 26. Calculate c(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16852*o**3 + 19191*o**3 + 29963*o**3 + 22651*o**3.\nAnswer: 88657*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2 = 5. Let f = 0 - l. Let j = -0.226 + 0.126. Which is smaller: j or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-7)\/(-3) + 0)*(-2 - -5). Suppose -33 = z*j - 173. Calculate the greatest common factor of 80 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12*(-4)\/(-6)*(-18)\/(-24). Suppose -s = -5*k + 3*k. Suppose k*a - 61 = -25. Does 8 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**3 + 696 - 3*f**3 + f**3.\nAnswer: -2*f**3 + 696","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, e: 3, t: 1, g: 2, u: 1, f: 2}. Give prob of sequence eof.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 12 - 402 - 109)*(0*k**2 + k**2 + 0*k**2)*(-4 + 1 + 5) in the form p*k + l + h*k**2 and give h.\nAnswer: -1058","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 - 159. Let v = -138.00043 - a. What is v rounded to five dps?\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 4)*(-6 + 4 - 1)*(4*z - 513*z - 502*z - 1878*z).\nAnswer: 17334*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -7.03. Let d = 2.03 + y. Let g = d - 1.95. Round g to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 2 - 4. Solve 6*w + 22 + n = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 673187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 497419992?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z - 7. Let c be i(5). Suppose 0 = 2*d - 31 - 15. Calculate the remainder when d is divided by 188\/16 + 2\/c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/6144 and 113\/57440.\nAnswer: 11028480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 0 + 4 - 0. Let g be 2\/(m*2\/(-72)). Let t be 6\/(-8)*48\/g. Which is greater: 4 or t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 82 + 1 - (8063 + -7995)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1700599864?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 2\/5, -35, 8, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 14e4de4 - -4?\nAnswer: 14e4de8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 20 = 3*o. Let n(a) = a**3 - 5*a**2 - 6*a. Let h be n(6). Suppose o*j - 25 - 10 = h. Solve -13 = 4*c + j for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (78 - 38*w - 78)*(3*w + w**3 - 3*w).\nAnswer: -38*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.04 - -157.96. Let q = u - 158. Sort -3, q, 2, -2 in decreasing order.\nAnswer: q, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1303862 is divided by 1105.\nAnswer: 1067","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 39*f = 35*f + 16, 0 = -x + 2*f + 7 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 27*s**2 - 454*s + 2. Let i(n) = 30*n**2 - 461*n + 2. Give -9*b(c) + 8*i(c).\nAnswer: -3*c**2 + 398*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26.4 - -24. Let u = 2.6 + s. Suppose -2*i = -0*i - 2. What is the nearest to i in u, 3, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26502.9999983883 + 26503. What is v rounded to 7 dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21*j**3 - j**3 - 2 + 0 + 29 wrt j?\nAnswer: -66*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -122\/33 - -48\/11. Let f be (6\/(-15))\/((-18)\/10). Find r such that l*r + f - 8\/9*r**2 = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*16094.\nAnswer: -1609.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2799697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -0.061, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhycrchycchrycccc. What is prob of picking 3 h and 1 r?\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/4)\/s)**(-9\/2)*(s**4)**(-38) assuming s is positive.\nAnswer: s**(-1153\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.6 + 1.92. Let a = -0.82 + f. Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -153 + 0?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15*36\/330)\/(46\/253)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 40710\nAnswer: 1\/8142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 5*c**2 - 8*c - 6. Determine m(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**2 - d + 0*d + d - 5*d**3. Let k be n(2). Let l = 64 + k. Does 9 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -95 in -3, -4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + -2)\/(608\/16).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/1053202 and -49\/16?\nAnswer: 8425616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5, -16, -27, -32, -25, 0?\n\"Answer: d**3 - 6*d**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.5 + 1.49. Sort -3, z, 0.4.\nAnswer: -3, z, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12915 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6892 is divided by 983?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -304440450?\nAnswer: -304440455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*c - 3 + 328*c**2 - 665*c**2 + 324*c**2 - c wrt c.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2795248349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - (-13 + 1)) + 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20384\/3920 + (-6)\/5. Solve 3*p - 4 = g*y, -5*p + 7*p + 12 = -y for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*w - 165 + 58 = 0, 0 = -5*g + 3*w - 177. Let c(k) = 36*k**3 - 2*k**2 - 2. Let a(r) = 576*r**3 - 33*r**2 - 33. Calculate g*c(n) + 2*a(n).\nAnswer: -36*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3135389082232 + 4.\nAnswer: 3135389082236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 297\/1964?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2244 = 2*g - 19*g. List the prime factors of g.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55338 or 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/90*-5*6. What is the nearest to -0.1 in -4, n, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 15) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -17*j + 5*j. Let q be 2 + 8\/(-3) - 0. Which is the second smallest value? (a) j (b) q (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 19*v + 1. Let m be c(1). Suppose 5*f - 2*t = 13, -t - 4*t + 20 = 5*f. Let p = m + f. List the prime factors of p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -5*h**3 - 4*h**2 - 4*h + 7. Is y(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2 - (-1 - 23)*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/1323*-5487 + 29.\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/3)\/(3\/36). Suppose 10 = -2*k - 4*n, -5*k + 0*k + 3*n - 25 = 0. Let r = t + k. Solve r*x + x = -8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 37*a - 3*a**2 - 37*a. Let m = -5 - -5. Let j(w) = -3*w - 5*w + m*w + 9*w. Give j(n(p)).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 108, 298, 608, 1032, 1564, 2198, 2928, 3748?\n\"Answer: -k**3 + 66*k**2 - k + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81, -177, -337, -561, -849, -1201?\nAnswer: -1617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0529 from -7.\nAnswer: -7.0529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 105, 3, 0, -3 in ascending order.\nAnswer: -5, -3, 0, 2, 3, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i - 16. Let t = 46 + -3. Let j(m) = -104 + 50 + m + t. Determine 7*j(p) - 5*r(p).\nAnswer: 2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -102033102013311?\nAnswer: 102033102013320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c + 2. Let r(s) = 6*s + 7. Let m(p) = -21*i(p) + 6*r(p). Let b(a) = -25*a + 76. Let d be b(3). Let g(x) = d + x**2 + 17 - 18. Give m(g(k)).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxdy when four letters picked without replacement from yytddxtxtt?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 5*k = -19, 5*t + k + 2*k - 29 = 0. Suppose -t*u = 15 - 23. Sort -3, u, 3\/8 in increasing order.\nAnswer: -3, 3\/8, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23750 is divided by 567.\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 4*m - 3. Solve -m*o - 9 = -0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 196, 761, 1702, 3019, 4712?\n\"Answer: 188*n**2 + n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-20)\/8)\/(-5)*142?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 + 1360217*a - 2720430.\nAnswer: -(a - 1360215)*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 70 - 74. Let l(m) = m**2 + m - 2. Let x be l(5). Suppose 2*i = 6*i - 4*v - x, 5*v = 4*i - 30. Which is the nearest to -2\/9? (a) k (b) 2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -5\/6, 3\/17, 5, 0?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1974 and 294?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 24*k + 90. Let m be h(0). Calculate the greatest common factor of 486 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1004301 and 9819832?\nAnswer: 88378488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 648540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 3868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(95) + 6*sqrt(95)*1)*-6)\/(sqrt(720)*2*-2).\nAnswer: -5 + 7*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (4\/(-20)*158)\/((-1)\/5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 235.95 + -261. Round f to 0 dps.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(11\/2)\/o)\/o)**(-50)*o**16\/(o*o**(-6)))**31 assuming o is positive.\nAnswer: o**(-6324)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -110 + 116. Let u(w) = -w + 49. Let m be u(41). Solve -4*f - m = -p*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 445 and 243254800.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 542593339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -43, 2, 90, 5, -3, -19 in ascending order.\nAnswer: -43, -19, -9, -3, 2, 5, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -13 times 5\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 145*d - 3*d**2 + 99*d**3 - 3*d**2 - 148*d wrt d?\nAnswer: 594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 167904 divided by 528\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 1 = -4*d, 10*d = 7*d - 2*o + 12 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.61 - -2.11. Suppose 0 = 4*j + 4*z - 8, -2*z = 4*j - 6 + 2. Let c = 0.09 - -3.91. What is the nearest to j in -3, c, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23745?\nAnswer: 3, 5, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -17*w**3 + 4*w**2. Let y(r) = -r**3 + r**2. Let d(o) = 4*o**2 - 86*o + 43. Let p be d(21). Give p*u(l) - 4*y(l).\nAnswer: -13*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1383*c**3 + 1340*c**3 - 2315*c**3.\nAnswer: -2358*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -114 - -207. Let s = h - 41. What is the second derivative of 14*q**2 - 52 + s + 3*q**2 - 13*q wrt q?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(176)*-1 - sqrt(176)) + -2)**2.\nAnswer: 32*sqrt(11) + 708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1327104 divided by -12\nAnswer: 110592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, 1\/99, 9\/2, 2\/3067?\nAnswer: 2\/3067","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 16. Let z = -5 - u. Let v = 1 + -1.01. Is z at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1015208.\nAnswer: 2, 19, 6679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2093940911 - -5206.\nAnswer: 2093946117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1188) + sqrt(1188) + 2*sqrt(1188))*-6*6)\/((1*sqrt(972))\/(sqrt(64)*2))*2.\nAnswer: -1536*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (10\/2)\/((-510)\/(-120)*185\/629)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-99)\/(-36) + 7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h - 3*h + h)*(-12 - 69 - 89) to the form d + g*h and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13742 + 2532*u + 27479 - 13737 to the form p + w*u and give w.\nAnswer: 2532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7.726 and -1653.\nAnswer: -12771.078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 157 + 666. Let b = j + -392. Let c = -300 + b. What is the remainder when c is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3004 a factor of 25295105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0088 + -0.044. What is y rounded to three decimal places?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(((r*r**(-2))\/r)\/r))*r)\/r**(-2)*(((r\/(r*r*r*r*r*r\/((r**2\/r)\/r)*r*r))\/r*r)\/r*r*r)**(34\/9))\/((r*r**(-2\/5))**(-3\/47))**47 assuming r is positive.\nAnswer: r**(-313\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**4 + 0*m**4 + m**5 + (-3*m**4 + 4*m**2 - 4*m**2)*(1062*m + 236*m - 36*m).\nAnswer: -3785*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - -23. Suppose r = 2*p - y, -5*p + 6*r + 85 = r. What is the highest common factor of p and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47068 is divided by 160?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 1\/7 (c) 123 (d) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -22 + 123350?\nAnswer: 123328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-1858)\/(-2787)*(-78)\/(-1)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 114269?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 8:24 AM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/2 - (-1)\/2. Let g be 1 - -1 - 20\/(-2). Let o = g - 8. Solve -n = -3*d + 7, f + o = d for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 3 + -6 - -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - 4) + (-22 + 22)\/(0 - -1). Suppose v*p + 15\/2*p**4 + 6*p**2 + 3\/2*p**5 + 12*p**3 + 0 = 0. What is p?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 times 42.53?\nAnswer: -680.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4)\/o)\/o*o**3*(o**(-6)*o)\/((o*(o*o\/(o*o*o**(2\/9)\/o)*o*o)\/o)\/o) assuming o is positive.\nAnswer: o**(-88\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 3*d + d + 498, -d = 2*c - 483. Does 27 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-110)\/11)\/(4\/5 - (-5)\/25)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/5, -0.1, -22, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12.8344 + 0.1656. What is the second smallest value in w, 3, -21?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + h - 7, 76*v + 3 = 73*v + 5*h. Suppose 5*n - 13 + 3 = 0. What is the first derivative of n*k + v - 12*k - 8 wrt k?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 43?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 6*k**3 - 3*k + 1. Let p(f) = -5*f**3 + f**2 + 2*f. Let v(h) = 4*l(h) + 5*p(h). Determine v(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 23) + (74 - 88)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 5\/112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 317, 0, -0.03576?\nAnswer: 317","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 44064 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -77*z**7\/5 - 632*z**5\/15 + 3910*z**2. What is the third derivative of x(d) wrt d?\nAnswer: -77616*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394.625 rounded to the nearest 10?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 3, -335, 14 in increasing order.\nAnswer: -335, 3, 7, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19178 is divided by 46?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/(-6))\/(1\/(-3)). Suppose 2*k - d - f = 0, -2*d - 11 = -3*k - 3. Let y(v) = 6 + k*v + v**2 + 0*v - v. Determine y(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6 (b) -27\/5 (c) 1\/3 (d) -2\/13 (e) -2 (f) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(114) - sqrt(114)*1))\/(3*-1*sqrt(6)))**2*6 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1048*h**3 + 943*h - 943*h - 1045*h**3.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38702 - 84098. What is o rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y + 3. Let q(a) = 5*a - 7. Suppose -5*k - 77 - 84 = -116. Calculate k*o(x) - 4*q(x).\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 39941000 to the nearest 1000000.\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 4*o - 2. Let q be m(4). Let l = -5 + q. Calculate the remainder when 22 is divided by 6\/l - 22\/(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 5*v**3 + 4*v + 2*v - 3*v**3 + 5 + 2*v**2. Let h(l) be the first derivative of l**4\/2 + 2*l**3\/3 + 5*l**2\/2 + 4*l - 94. Calculate -4*c(g) + 5*h(g).\nAnswer: 2*g**3 + 2*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/1341 - -1663\/16092. Find the common denominator of d and 95\/4.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2. Let l(r) = -1497*r - 1762*r + 2537*r - 598*r. Give u(l(h)).\nAnswer: -1742400*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of u**6\/1890 - u**5\/252 + u**4\/126 - 11*u**3\/6 - 67*u**2. Let g(v) be the first derivative of w(v). Factor g(j).\nAnswer: 2*(j - 2)*(2*j - 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d. Let p(v) be the first derivative of -2*v**2 + 6. What is p(r(o))?\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ugrrr. Give prob of sequence grr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1996433l in millilitres?\nAnswer: 199.6433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - 27. Which is the third biggest value? (a) o (b) -0.4 (c) 0.4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82 + 10 - 3 + 7*w.\nAnswer: 7*w - 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141771 is divided by 23311?\nAnswer: 1905","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51853*n = 52250*n + 9528 for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5175 divided by -207?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171 = 14*w + 43*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 12:17 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -15, 3 in ascending order.\nAnswer: -15, -11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2823818 and -2.02.\nAnswer: 5704112.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(4\/939*(-39)\/104). Solve -u*p = -631*p + 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrze when four letters picked without replacement from errrzezererrereerzr.\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-1)\/m)**(-2\/13))**(-13))**(-2\/63) assuming m is positive.\nAnswer: m**(8\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5792 (b) 1425\/8 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 2:15 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/56 and 79\/4936.\nAnswer: 34552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 795\nAnswer: 8\/795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 0 - (3 - 13)) + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 68 = 11. Solve -5*n - w = 6 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 181 = 5*j, h - 3*j = 4*h - 294. Let x = -47 + h. Is x a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 0.05, 0.3, -2\/17.\nAnswer: -2\/17, 0.05, 0.3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-2) + (-15 - 6999). Is 14\/16*-2*a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -78.\nAnswer: -5\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6097 = -1478*q + 1485*q. Is 21 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40 - 36. Suppose 0 = u*r + 14 - 222. Is r a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2202 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-79)\/((-2528)\/2464) - 5\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/2 (b) 89 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 823670 to the nearest integer?\nAnswer: 908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 422466 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 8)\/((-1)\/142). Let w = -748 + d. Let i = w - 123. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -266145 by 88715.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -170324 - -170323.5. Let f = 3 - 4. Let u = 0.05 + -4.05. Which is the second biggest value? (a) l (b) 1\/6 (c) u (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -7. Let a be (-1)\/(1 - 5\/4). Suppose 4*k - 2*w + 8 = 0, a*k - 2*k = -w - 4. Sort k, 0, f in decreasing order.\nAnswer: f, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6713 - 6705. Solve -13*i + 9*i = 3*r - 16, -5*r = 2*i - t for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1833?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*(n*n**(2\/9)*n)\/n*(n\/(n*n**(-2\/19)))\/n*n\/(n\/((n*n**(-3\/5))\/n)*n)*n\/(n\/(n**(1\/3)*n)) assuming n is positive.\nAnswer: n**(907\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xmx when three letters picked without replacement from {m: 8, x: 3, w: 2, b: 2}.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -2*n**5 - 2296*n**4 + 89990*n**3 - 173084*n**2 + 85392*n = 0.\nAnswer: -1186, 0, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -143*o**5\/60 + 10*o**3 - 93*o**2. Differentiate b(t) wrt t.\nAnswer: -286*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*x - 3*x + 3*x + 4*x.\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -10206 divided by 1458\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((6 - 0) + 1 + -4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -123, -248, -373?\n\"Answer: -125*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 306 - 302. Sort 2\/5, -0.2, -1, m in ascending order.\nAnswer: -1, -0.2, 2\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 12263, 12261, 12259?\n\"Answer: -2*c + 12265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 520 and 1430.\nAnswer: 5720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*r - 85 + 905 = 0 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -94 - (0 - ((-4 - -16) + -8 - -8)).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1831127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fsmssskmssmssmfsmf. What is prob of picking 2 m?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 406 = 2*z, -m + z + 2*z = -89. Let f(r) = -m - r + 80. Let j(w) = -2*w**2. Determine j(f(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 5, 2\/15, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 408296.\nAnswer: 1224888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 48895387 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 225 - 222. Suppose -2*s - 60 = -a + 13, 237 = 3*a + d*s. What are the prime factors of a?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3198313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 - 31. Suppose -f + 8 = -2*k - 14, 0 = 4*f + j*k - 153. Let y = f - 14. Solve y = -2*m - 5*g, 0 = m - 4*m + 5*g - 2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000007983 rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00602263 rounded to 5 dps?\nAnswer: -0.00602","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*a - 41*a + 187442 = 2*z, 3*a = z - 93716. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dfd when three letters picked without replacement from ndffd?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 15 = 6*a. Let g(q) = -q**2 + 31*q + 4. Let x be g(31). Suppose -5*h - 4 = -d, -54 = -x*d - h - 38. Solve b + a*y = -0*b - 17, -y - d = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 4*s - 6, -1590*q - 4*s = -1595*q + 14 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 80190465, 80190468, 80190473, 80190480, 80190489, 80190500?\n\"Answer: m**2 + 80190464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132885 is divided by 1216.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2304 and 15040?\nAnswer: 541440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 8:45 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1\/4, 5, -4 in ascending order.\nAnswer: -5, -4, 1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express w**4 + 3*w - w**2 - 5*w - 4*w**4 as v*w**4 + k*w**3 + d + x*w**2 + u*w and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1100010111111 (base 2) to base 4\nAnswer: -1202333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 6 + (-31 - (-13 + (9 - 2)))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 265\/6 or -62\/63?\nAnswer: 265\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - 2*y. Suppose 3*i - 79 = 2*n, 3*i = 4*n - 13 + 84. Calculate the remainder when (-7)\/((-21)\/342) - y\/3 is divided by i.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k. Let v = -3 - 1. Let g(w) = -w. Give v*g(u) + 2*y(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i. Let v(h) = 2*h - 9. Let t(z) = -1. Let k(a) = -18*t(a) + 2*v(a). Determine k(p(m)).\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/(-2)*(102\/45 - 2). What is the nearest to 1 in -0.2, d, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4152 is divided by 247?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*o - 886 = 80 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1503\/334*4\/(-30)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/sqrt(7)*-1)**2 + 2*4*sqrt(2).\nAnswer: 2 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2796 by 3909.\nAnswer: -932\/1303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x + 5. Let h(z) = 2*z - 4. Let n(u) = -3*h(u) - 4*s(u). Is n(7) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/4 and -53\/27874.\nAnswer: 55748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(98) + -1*sqrt(98)*-1)*-1)**2 + 4.\nAnswer: 6276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -55)*(3 + (-1408)\/462)\/(1\/(-18))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j**2 + 845*j + 8010 = 0 for j.\nAnswer: -9, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49644285.\nAnswer: 3, 5, 809, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75\/165*(-37)\/(2220\/96).\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - 18) + -7 + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 344 and 774.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*2\/20*-5. Let y(t) = t + 8*t**3 + 2 - 14*t**3 + 14*t**b - 16*t**2 + 34*t**3. Is y(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -1244025?\nAnswer: 1244020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 6*v - 2. Let l be g(6). What is the highest common factor of 17 and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 2*j, 4*u - j - 4*j + 17 = 0. Let w(r) = 2*r**3 + r**2 - 9*r + 2. Let v be w(u). Solve v*k = 2*k + 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) + (sqrt(1539) + -1)*-1 + -4)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16288644 divided by -123.\nAnswer: 132428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 695, 693, 691, 689?\nAnswer: 687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(-2*a + a - a) - 9*a - a - 7*a - 1 + (-2*a - 3*a + 7*a)*(1 + 1 - 1) + 2*a + 3*a - 3*a.\nAnswer: -9*a - 1","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4 - 48*f**3 - 162*f**2 - 168*f - 57.\nAnswer: 3*(f - 19)*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n - 14. Let o(w) = w - 7. Let k be o(-9). Let b(i) = -i**2 + 20*i + 7. Let t be b(20). Let x = t + k. Calculate l(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1 + 15392*b - 15392*b - 78*b**3 + 146*b**2 wrt b?\nAnswer: -468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 371.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 0, 8, -14 in increasing order.\nAnswer: -14, -5, 0, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006600989 to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1331992*j**4 + 1504554*j?\nAnswer: 15983904*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -5929*b**5 + 140371*b**4 - 78985*b**3 - 296259*b**2 - 119646*b = 0.\nAnswer: -51\/77, 0, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5*(-4 - (-3 + 1)). Let y be -9*1 + (-6)\/3. Let r be -1 + 4 - y*7. What is the greatest common factor of r and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*a**2 + 5*a - 8*a**2 + 0*a - 4*a as n*a**2 + m*a + w and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*k**2 + k**2 + k**2 + (-3*k - 5*k + 2*k)*(3*k - 5*k + 4*k) + 3*k + 9*k**2 - 3*k)*(4*k - k - 2*k)*(2 + 2 - 2) as l*k**3 + c*k + b*k**2 + z and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 10:31 AM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 4*t - 18 + 112, -3*w - 2*t + 104 = 0. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -3*a - d, 2*a = 3*a - 2*d - 36. Is 13 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 4:27 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 5*f**2 + 1. Let c be l(5). Suppose -2*w + 15 = 1. Let k = -9 + w. Which is greater: k or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 12348 = -16053. What are the prime factors of t?\nAnswer: 3, 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((104\/(-637))\/(-4))\/((-125)\/(-175)).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 661*v**6 - 845*v**4 - 84*v**2 - 7574*v + 2 wrt v?\nAnswer: 79320*v**3 - 20280*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1509491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**4 + 158656*w**3 - 1568625144*w**2 - 91380937664*w - 1326961155844.\nAnswer: -4*(w - 19861)**2*(w + 29)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 2*k + 4*j + 8 = 0, -5*j = -2*k + 24. Let f be ((-4)\/3 - 2)*(-10 + 7). Solve 6*w = -4*i + 4*w - f, -i - 10 = -k*w for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**14*k)\/k**(-1\/3)*(k**0)**(-16) assuming k is positive.\nAnswer: k**(46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -628*l + 0*l**2 + 1879*l - 625*l - 4*l**2 - 625*l.\nAnswer: -4*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 180*p**5 + 69348*p**4 - 120628*p**3 + 44924*p**2 + 12368*p - 6192 = 0.\nAnswer: -387, -1\/3, 2\/5, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 106. Let c = 219 + l. What is the remainder when c is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 8:43 AM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in 1.07, 7, -7, -4?\nAnswer: 1.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g - 3. Suppose 0*c = -5*c - 20. Let j be m(c). Suppose 3*p + 8*p - 10*p + 43 = -4*q, -q = 10. Put 0, p, -5, j in ascending order.\nAnswer: -5, p, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 7 = -4*g, 0*n + 12 = 4*n for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(2*-10 - 45269\/(-2233))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 1 - 5\/(-3 - -8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 0, 4*s + 190 = 2*x + 3*x. Suppose x = 6*p + 14. Let i(d) = -d**2 - 12*d - 4. Let h be i(-11). Solve j - 5*q + 35 = -p*j, h = 4*j + 3*q for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114*24\/9 + 2 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 d, and 1 z when three letters picked without replacement from dmqmdzwmwd?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 123402 - 179653. Let y be 1136\/(3 + f*4\/75000). Round y to the nearest one million.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3885 divided by -111\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 4 = -6*t. What is the smallest common multiple of 4 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 2*q**2 + 4*q - 3. Let o be 5*3*1\/5. Determine k(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 6*y**2 + 11*y - 28. Let d be x(-8). Let o(u) = -u**2 + 15*u - 30. Let w be o(d). Solve 5*p - 2*m = w + 8, 3*m = -5*p + 29 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (62\/341)\/((-4)\/(-11)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11.1 + 11. What is the smallest value in -5, 3, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -68*a - 112. Let q be h(-2). What is the remainder when 96 is divided by (87\/q - 4) + (-406)\/(-16)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 + 3 - 3)*(-1 + 1 + w**2) + (-1 - 1 + 4)*(-w**4 + w**4 - 2*w**4).\nAnswer: -3*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (11\/(4158\/153))\/((-3)\/(-2)). Let x = -5\/9 + a. What is the fourth smallest value in 3, 0.8, -0.4, x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xdmmh. Give prob of picking 1 h, 1 m, 1 d, and 1 x.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 2*t + 2. Let f(n) = 2*n + 17*n**2 - 42 - 16*n**2 + 45 - 3*n. Give -2*f(z) + 3*p(z).\nAnswer: z**2 - 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/10 + 22*(-6)\/20. Let h(x) = -9*x + 0*x + 4 + 2*x**2 - 3*x**2 + 4. Let n be h(l). Calculate the greatest common factor of n and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*j = -916, f - 5*j - 385 = 537. Calculate the greatest common divisor of 2899 and f.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 b, and 1 a when three letters picked without replacement from xbxaxaxbqqxaqax.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2. Let l(p) = 22*p**2 + 414 - 6*p**2 - 414. What is l(i(s))?\nAnswer: 16*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 0*k**2 - k**2 + 3*k**2 - 8*k**2. Let d(r) = r**2 - r**2 + r**2. What is 22*d(j) + 4*w(j)?\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*h + 3*h**2 - 65 - 23 + 86.\nAnswer: 3*h**2 - 11*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-164)\/(-123) + 8\/12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*i**2 - 15*i**2 - 1413*i**3.\nAnswer: -1413*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2388 + 2388 - 163*w as c + y*w and give y.\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 108 by 36.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 5, 2, -2.\nAnswer: -3, -2, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 132.00129 months in decades?\nAnswer: 1.10001075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1432174 - 1140*v - 1432174 to p + l*v and give l.\nAnswer: -1140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 6*t - 2*t - 61, -5*r + 3*t = -63. What is the greatest common factor of r and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -40 bigger than -121\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 2*x**2 - 1. Give m(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1067*a**3*d**2 + 279*a**3*d - 107*a**2*d wrt d?\nAnswer: -2134*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -60, -79, -80, -57?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4963, 17757, 39081, 68935, 107319, 154233, 209677?\n\"Answer: 4265*k**2 - k + 699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1531.547 to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 745.79 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16780*c + 17304*c = -12052 for c.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5595 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283150 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -1543*c**6\/30 - c**4\/2 + 181*c**2\/2 + 57*c - 4. What is the third derivative of y(f) wrt f?\nAnswer: -37032*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 8*j**2 + 5*j - 6. Let x(k) = -9*k**2 - 7*k + 7. Let f(g) = -6*h(g) - 5*x(g). Let b(d) = d**2 - 2*d. Calculate -7*b(o) - 3*f(o).\nAnswer: 2*o**2 - o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**2 - 2*t**2 + 0*t**2)*(-3*t + 2*t - t) + (3*t - t - 3*t)*(-497*t + 7*t**2 + 497*t).\nAnswer: -11*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by 1220672.\nAnswer: 11\/610336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of 0*p + 1\/12*p**4 + 0*p**5 - 1\/105*p**7 - 4*p**2 + 0 + 0*p**6 + 0*p**3. Find the second derivative of j(l) wrt l.\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - (24036\/(-333))\/4. Let p = -14\/37 + h. What is the common denominator of p and 76\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (3 - 7) + -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/2 + 145*q + 21025\/2.\nAnswer: (q + 145)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1470*y - 1470*y + 95*y**3 + (0*y + 2*y - 5*y)*(65*y - 8*y**2 - 65*y).\nAnswer: 119*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.51034 rounded to two dps?\nAnswer: -12.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1.3, -4, 29?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/34 and 57\/32305694?\nAnswer: 549196798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156878 is divided by 52065.\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from juuuacucxcucuuuj. What is prob of picking 1 x, 1 j, and 1 u?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*r + 239 = -91, 2*f - 330 = -r. Do 167 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2 + 3 = -f, 4 = 5*f - d. Solve -a = f - 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 8*q**2 + 7598*q - 45554. Calculate n(6).\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 41 = 3*z. Let h = 39 + z. Suppose q + 4 - h = 0. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 294 - 207. Calculate the highest common divisor of g and 203.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.1 - -3. Let h = -4.9 + u. Which is the third smallest value? (a) h (b) -2\/15 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*q - 30*q - 14*q in the form p + g*q and give g.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*d**2*h**2*o**2 + 2*d**2*h**2*o + 78*d**2*h*o**2 - d**2*h*o + 5*h**2*o - 2*h**2 wrt o.\nAnswer: -6*d**2*h**2 + 156*d**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of q**5\/60 + 11*q**4\/24 - q**3\/6 - 24*q**2 + 2. Determine y(-10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*x - 65 = 196. Let m(d) = 2*d**2 - 15*d - 28. Let n be m(x). Let t = 0 + 1. Put n, -4, t, 5 in decreasing order.\nAnswer: 5, t, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 1. Let h(t) = 475*t**2 + 6*t - 6. Let k(s) = h(s) - 2*v(s). Is k(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**3\/5 - 44*y**2\/5 - 96*y\/5 + 576\/5 = 0 for y.\nAnswer: -4, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {f: 2, u: 7}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 3*b + 3. Suppose 4*d - 3*f = -f + 12, -d + 8 = -3*f. What is n(d)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 10:24 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3321 + 3321 - 174*u)*(-u**2 + u**2 - 2*u**3) to the form s + i*u + a*u**4 + y*u**2 + k*u**3 and give a.\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280780737?\nAnswer: 3, 887, 105517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111001111111000011 (base 2) to base 4.\nAnswer: 321333003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + g + 3864, -5*j + 3*g = -j - 7724. Which is the second biggest value? (a) 2 (b) j (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255145871?\nAnswer: 255145871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*p - 1. Let b(a) = -385718*a + 5. Let d(u) = 385717*u - 5. Let i(l) = 2*b(l) + 3*d(l). Let r be i(p). Round r to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121403270 to the power of 1\/2, to the nearest integer?\nAnswer: 11018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24258 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 63*j - 378. Let w be x(6). Let p be (-6)\/((-2)\/(-2)*-2). Let s = p + -3. Is s at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1056982984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 4*x - 2, 3*x + 10 = -2*x. Suppose 0 = -5*l + 28 - w. Let r(u) = -u + 2. Let g be r(0). Sort l, -5, g in ascending order.\nAnswer: -5, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -440 (base 6) to base 7.\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 13*m**2 + 216*m + 2806. Determine j(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1025, -1079, -1137, -1199, -1265, -1335, -1409?\n\"Answer: -2*w**2 - 48*w - 975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -6*w**2 + 6 + 3*w + 4*w - 2*w**2 + w**3. Let t(a) = a - 2. Let b be t(1). Let d(z) = 0*z + 2*z**2 + z - 3*z**2 + 1. Give b*h(v) + 6*d(v).\nAnswer: -v**3 + 2*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -360385.659 rounded to the nearest 10000?\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in three eighths of a millisecond?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.1 in -13, 0.4, -2, -1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -42724 (b) -5 (c) -2 (d) -8\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2908202 divided by -67.\nAnswer: -43406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 9 (b) -1\/11 (c) -1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 5*g**2 - 93*g + 324. What is the remainder when 806 is divided by d(18)?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w + 70 - 84 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 274352 and 1872.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 3:53 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 19 = 7*t. Suppose -7*v + 28 = -0*v. Solve 14*z - 11*z - t*z + 2*z**4 + v*z**3 - 8*z**2 = 0 for z.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -783591 plus 1.54151?\nAnswer: -783589.45849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - y = 120, 143 + 57 = 5*v + 5*y. Calculate the greatest common divisor of 32 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4330.\nAnswer: 2, 5, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*d, d = 2*y - 3*d + 44. Let o = y + 43. Calculate the greatest common factor of 81 and o.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-768*x + 1594*x + 1336*x)*(11 - x**2 - 11) to m*x**3 + o + n*x + z*x**2 and give m.\nAnswer: -2162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 312\/(-468) + ((-16)\/(-6))\/4. Solve -20*z - 116 + 16 = y for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z**2 + 2*z + 1. Let x be q(-1). Let r = x + 6. Is (r*14 - -1)\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 5*b - 5. Let i(c) = -2*c**3 - 4*c - 7. Let q(x) = x**3 + 1. Let v(m) = -i(m) - 3*q(m). Calculate 5*v(u) + 4*z(u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - w - 77 = -3*d, -2*d + 36 = -3*w. Let x = 12 - d. Let b = 0 - x. What is the highest common factor of b and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + -29. Let v be 2\/(-4) + d\/(-8). What is the second derivative of v*t**4 + 32 - 32 - t wrt t?\nAnswer: 48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1655465849?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -84698, -439 in descending order.\nAnswer: 5, -439, -84698","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/1237 in 3, -106, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 0*z + 4*z)*(-53*z - 106*z - 227*z).\nAnswer: -1930*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -2\/3 (b) 0 (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.87874 - -0.87874. Let w = 10\/837 - 90506\/9207. Which is the second smallest value? (a) 2\/5 (b) u (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -51*k - 152\/3*k**2 + 4\/9*k**3 - 115\/9 = 0?\nAnswer: -1\/2, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 7) + -8 + 29 + -9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1002 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -4388\/8487 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49 - (6 + -3)) + 1235\/38*36\/117.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + 188*f + 13907. Calculate s(246).\nAnswer: -361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 + -5113151?\nAnswer: -5113141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1982, 1969, 1956?\nAnswer: 1943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -9. Is 94\/n*(-5 + 3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63 and 24?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 6*l + 6 = 8*l, 20*g - 36*l + 40*l - 22 = 9*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.7152 - 1.0819. Round p to 2 dps.\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 445 = -5*f, -4*f - 125 = d - 2*d. Suppose 13*i + 40 = d. Solve 0 = -i*s + s + 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 638351\/32100 + -2166\/107. What is the common denominator of w and 67\/250?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -u**6\/360 + 7*u**5\/120 + u**3 - 5*u**2. Let t(l) be the first derivative of d(l). Find the second derivative of t(f) wrt f.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**5\/9 - 4*z**4\/9 + 8*z**3\/9 + 8*z**2\/9 - 4*z\/9 - 4\/9.\nAnswer: -4*(z - 1)**2*(z + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 105 in 1\/2, 2, 10\/11, 2\/29?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 115*t - 3786. Determine h(33).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2 + sqrt(72) + 1)**2*-2 + -4*(sqrt(72) + -1)*-2*-1.\nAnswer: -154 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 7*w**2 - w - 6. Let m be p(-7). Let d be -1*(-1 + m)\/(-1). Let r be 1\/(d - 1)*-4. Solve y - r = -h + 2, -2*y + 2*h = 8 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 6. Solve -3*c + x = -6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12303212322 (base 4) to base 15.\nAnswer: 253a00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4011 or -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 27*i**2 - 59*i - 40. Give m(-29).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/391 or -1?\nAnswer: 2\/391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16981 or 540?\nAnswer: 16981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2. Let y(u) be the third derivative of 7*u**6\/240 + 5*u**4\/12 - 4*u**2. Let o(k) be the second derivative of y(k). Determine j(o(r)).\nAnswer: -441*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.1 - 2. Let j = n - 1.8. Let b = 1.788 + j. What is b rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 7. Suppose n - z = -4. Let r = 6 - n. Solve 0 = -5*f, -2*f - r = 2*m + 2*f for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**2 + 42*o + 39 = 0 for o.\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aywzqhy. Give prob of sequence zaw.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277 is divided by 74.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 246, 848, 2024, 3966, 6866, 10916, 16308?\nAnswer: 23234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11398*c + 9 + 11444*c - 9.\nAnswer: 46*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.392 and 0.3?\nAnswer: -0.4176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4094323, 4094319, 4094315?\n\"Answer: -4*n + 4094327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -31872, -60443, -89014?\n\"Answer: -28571*p - 3301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**4 - 75*b**3 - 3435*b**2 + 7075*b - 3570.\nAnswer: 5*(b - 34)*(b - 1)**2*(b + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 3)*(-2*q**2 - 18*q - 1 + 33*q - 18*q)*(-4 - 2 + 118*q**2 + 5) as o + m*q**4 + x*q**2 + j*q**3 + t*q and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 665.9999ml in litres?\nAnswer: 0.6659999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7966482 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/4 and -36\/155.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6903457 and -2.\nAnswer: -13806914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 8:59 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -713*r - 25*r - 875*r - 319*r - 925*r to p + w*r and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(560) + -1*sqrt(560) + sqrt(560))*2)\/sqrt(10))\/(sqrt(32)\/(-2*-1*sqrt(4))))**2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (-1 + (3 - 5) - 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -71 + (9 - 13) + (8 - 19 - 2).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.14*-0.1\nAnswer: -0.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 6*m**2 - 252*m + 766. Calculate w(3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -828 - 312. What are the prime factors of j?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 506.6611l?\nAnswer: 506661.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**4\/9 - 43*u**3 - 1912*u**2\/9 - 84*u + 3056\/9 = 0.\nAnswer: -382, -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -120026 + 0.1\nAnswer: -120025.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77589 = -30*a - 77439 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 779485.7km to meters.\nAnswer: 779485700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1)*p**(-5))\/(p**(-1\/4))**(2\/119))\/((p**(-1\/3)\/p*p)\/(p*p*p*p**(-6)*p))**(5\/4) assuming p is positive.\nAnswer: p**(-11537\/1428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**4\/13 - 29144*y**3\/13 - 106200732*y**2\/13 - 212314040*y\/13 - 106142450\/13 = 0.\nAnswer: -7285, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 - 46 = -4*p. What is the remainder when p is divided by 26?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 94*q**2 + 1197*q - 467. Give i(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -1634837.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 26161568?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 0.2941.\nAnswer: 0.11764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 - 120*n**2 + 1035*n + 4050.\nAnswer: -5*(n - 9)*(n + 3)*(n + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 79\/146 + -3\/73. Let c(f) be the first derivative of 0*f - g*f**2 - 1. Let y(u) = 2*u. Determine c(y(x)).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2200120221012 + -1201?\nAnswer: 2200120212111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0013321578 rounded to six dps?\nAnswer: -0.001332","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1253 is divided by 801?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -5*o**2. Let t(h) = -4*h + 1730. Give w(t(c)).\nAnswer: -80*c**2 + 69200*c - 14964500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/3))**(-2\/11)\/((l\/(l\/(l*l**(-1\/2))*l))\/l)**(4\/7)*l\/(l**2\/l)*l**(-5)\/l*l\/l**3*l*l**(5\/2) assuming l is positive.\nAnswer: l**(-1655\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**3 + 4*m**2 + 4*m - 3. Suppose -79 + 69 = -2*t. Let c(a) = 2*a**3 + 5*a**2 + 5*a - 4. Calculate t*b(k) - 4*c(k).\nAnswer: 2*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 31?\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29156 is divided by 173.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2110427 is divided by 2121.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, -9773, -0.5, 2\/7?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 462 and 12511401.\nAnswer: 275250822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -274, 5, -2\/7, -0.4, -0.12972?\nAnswer: -0.12972","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 + 3 + 19)*(0*c - 5*c + 3*c) - 4*c - 2*c + 4*c.\nAnswer: -98*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.12 and 98.354.\nAnswer: 405.21848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8648, -10240, -11832, -13424, -15016, -16608?\n\"Answer: -1592*t - 7056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3038)\/(-28) - ((-15)\/6)\/(-1). Let y be (-234)\/(-34) + (-3 - m\/(-34)). Solve 4*c + y*w = 2*w + 16, -5*w = c - 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4\/5 (b) 189 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 903325 is divided by 451642.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4784131777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18.63358 + -0.63908. Let k = u + -18. Round k to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 34)\/((20 - (-3485)\/(-164))\/(30\/18))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-74)\/8)\/(2595\/520 + -5). Let g = -638 + q. Is g a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/10*-5*76\/513.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -7328*g**3\/3 - 6613*g + 7550. Differentiate c(s) with respect to s.\nAnswer: -14656*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -11*m**4\/4 + 17*m**2 - 5*m. Find the first derivative of i(k) wrt k.\nAnswer: -66*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of 0*r**4 + 0*r**2 - 17\/20*r**5 + 14*r - 5\/3*r**3 + 0. Find the second derivative of k(p) wrt p.\nAnswer: -102*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 392935*i**2*p**3 + 8*i**2*p**2 - 16355*i**2*p wrt p?\nAnswer: 2357610*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -104, -197, -332, -515, -752, -1049?\nAnswer: -1412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c*(c*c**3\/c)\/c))**(-14\/9) assuming c is positive.\nAnswer: c**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -0.3, -2, 14 in descending order.\nAnswer: 14, 2\/7, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-64)\/12 - 1\/(-3). Let f = n - -7. Suppose -5*l = f*b - 38, -20 = -2*l - b - 5. Solve -d = d - l for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 k, and 2 v when four letters picked without replacement from {c: 1, k: 4, v: 3, r: 3}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 84\/26*52\/(-36)*9*1\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 658\/42 - -9)*(-18)\/8?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 6325*t - 3161*t - 3169*t - 4. Let x(c) = -4*c - 4. Calculate -2*u(f) + 3*x(f).\nAnswer: -2*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v - 2*r + 42, 122790*v + 42 = 122787*v + 105*r for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b**3*p + 225*b**3*z**2 - 62*b**3*z + 2*b*p**2 - 2*b*p*z - 73418*p**2*z**2 + 241*p**2*z + p**2 wrt z?\nAnswer: 450*b**3 - 146836*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + p + 1 = 0, -4*k - 6 = -6*k + 6*p for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 8*p**2. Suppose 0 = -4*v - 7 + 23. Let q(j) = -2*j - 4*j + v*j. Give q(y(f)).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 30854*t**2. Let x(l) = -4696*l**2. Determine j(x(u)).\nAnswer: 680405243264*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 d when four letters picked without replacement from kkkkukukdkkdkeuk?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 15*r - 55. Suppose 4*g = -5*f - 70, r*f + 33 = g - 37. Is f bigger than -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -78*w + 462. Give y(10).\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -222, 0.3, 2\/3, 0.2 in ascending order.\nAnswer: -222, 0.2, 0.3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 (base 11) in base 15?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 46374 - 46375 - 2*w - 1727*w**4 + 3*w**3 + w in the form j*w**4 + d + v*w**3 + s*w + p*w**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 450617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 51970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, z: 1, q: 5, m: 1, w: 3}. Give prob of sequence mzww.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 11 - 2, -2*i - 4*y + 520 = 0. Calculate the common denominator of -95\/4 and 8\/576*12*i\/(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205965606779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 77 - 538\/7. Let g = -2.5 + 56.5. Let w = g - 56. Which is the third biggest value? (a) j (b) w (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**14*t*t**12 assuming t is positive.\nAnswer: t**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0261? (a) 3 (b) -0.3 (c) 176 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 15*g - 4. Let m be d(-2). Calculate the remainder when 29 is divided by (m\/4 - -3)*-2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8799003 to the power of 1\/2, to the nearest integer?\nAnswer: 2966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -585*c - 91. Let p(v) = -13*v - 2. Give -4*g(z) + 182*p(z).\nAnswer: -26*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 s when two letters picked without replacement from sixbsxppibxphppph?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 45.68687101 to the nearest integer.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*i + 141 - 1 = 116*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 6da990?\nAnswer: -6da992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 276.3 + -219. Let m = -57.4 + w. What is the closest to 1 in m, 4, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -5, 3, 1 in decreasing order.\nAnswer: 18, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*5\/15*5\/(-5)*2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 3*o - 4*m - 17, 0 = -3*o + 3*m - 27. Let u be (27\/(-36)*-2)\/((-6)\/o). What is the units digit of (57\/u)\/((-51)\/(-34))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(6\/45))\/((-846)\/(-1128)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -154456 (base 7) to base 13\nAnswer: -10b01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 8*m**2 - 7*m + 2. Let p be k(7). Suppose -w + 4 = w, -5*w + 16 = p*i. Factor -2\/7*r + 0 - 2\/7*r**i + 4\/7*r**2.\nAnswer: -2*r*(r - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 11*s - 106. Let k be d(17). Let b(t) = -t + 8. Let m be b(8). Suppose 10 = 5*o - m. Sort 3, k, o in ascending order.\nAnswer: k, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1664 divided by 104.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 2506155.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/2 (b) 2\/7 (c) 2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -4 (c) -2 (d) -2\/13 (e) 0 (f) -1.103\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 2. Suppose 7 = -5*i - 8. Let u be r(i). Let t = 154 + -2308\/15. Which is the biggest value? (a) t (b) u (c) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -206*5\/(-90) + (-4)\/9. Let t(w) = -41*w + 4. Let r(f) = 122*f - 11. What is v*t(u) + 4*r(u)?\nAnswer: 37*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1291 + 1288. Is 323 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20067, -81140, -182923, -325410, -508595?\nAnswer: -732472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-16) + (-9604)\/(-10976) - 115\/(-28).\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 40\/5 + (0 + 2 - 0). Let r(c) = -c**3 + 10*c**2 - c + 21. Let i be r(t). What is the greatest common divisor of i and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 3 - 6 - (142 + -81)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/27 (b) -2\/5 (c) 4 (d) -312\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -26513599.8 rounded to the nearest one hundred thousand?\nAnswer: -26500000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 1228 + -1132. Is k a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r, 1 t, and 1 v when four letters picked without replacement from tvvvlvvtzzrrwvrlr.\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - x - 39, 0*y = 2*y - x + 45. Let t = 15 + y. List the prime factors of t\/(-4) + (-118)\/(-4).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k + 0*k + k**3 + 7*k**3 - 196*k + 196*k + (2*k**2 + 2*k**2 - 2*k**2)*(-2*k - 3 + 3) + k + k**3 - k.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l - 3. Let u(y) be the third derivative of y**4\/8 - y**3\/2 - 8*y**2. Let f(b) = 4*m(b) - 5*u(b). Find the first derivative of f(x) wrt x.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2766*g + o - 18 = 5538*g - 2770*g, 7*g - 4*o + 71 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -470*r**3 + 2674*r**3 + 1268*r**3 + 180*r**3.\nAnswer: 3652*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 1350835\nAnswer: -1\/270167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 2:14 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 5*q + q = 17, -4*h - 5*q = -19 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2 + 5 = 0. Suppose -12 = f*c - c. Is (c\/(-4))\/((-9)\/(-222)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -f**4\/24 + f**3\/3 + 55*f**2. Determine d(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*l**2*n*z**3 - 26*l**2*n*z + l**2*z - 4*l*n*z**4 + n - 24*z**3 + 15*z**2 wrt z?\nAnswer: -18*l**2*n - 96*l*n*z - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1290 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-1))\/(1\/((-9)\/(-18)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008970089 to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 106204?\nAnswer: 1\/53102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -180*z**4 + z**3 - 15 + 183*z**4 + 2*z + 14*z**2 + 18 as d*z**3 + b*z**4 + r*z + i*z**2 + t and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39 - -39. Let p be (k\/(-1))\/(4 + -2 + 0). Solve -f + 2*w - 9 = 0, 0*f - 3*f + 4*w - 17 = p for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 - -17. Suppose -4*r + 18 - 2 = o. Find the second derivative of -9*l + 5*l**r - 4*l + 3*l wrt l.\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -3*x + 4*x + 4*c, 2 = 2*x - 2*c. Suppose 0*o + x = 3*o. Solve -5*h - 3 - 22 = 0, 0 = -o*y + h - 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63917.41ml in litres?\nAnswer: 63.91741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112531 is divided by 72?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/6*h**2 + 0 - 3\/2*h.\nAnswer: -h*(h + 9)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 7*b**2 + 6*b + 10. Let t be s(8). Let y be (-4)\/(-2)*135\/t. What are the prime factors of (-3 - (-13)\/5)*y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/15)\/((12\/(-15))\/2). Let h(c) = -11*c**2 + 3*c**2 + 7*c**2 + 4 + 3*c**j + 3*c. What is the tens digit of h(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 4*r**2 + 6*r - 7. Let g be s(5). Let p be (20 - 9)\/(-55)*1*2. Which is the closest to p? (a) -0.1 (b) g (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22920573 a multiple of 191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 51?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 845 divide 2279810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3\/4697 - 41425\/9394. Let j be 1\/(-4) + 1390\/56. Let v = j - 683\/56. Find the common denominator of r and v.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -26915*k**3 - 3*k**2 - 2*k - 1. Let r be m(-2). Let x = 63527 - 196838. Let v = r + x. Round v to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85447, 85370, 85245, 85072, 84851, 84582?\nAnswer: 84265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -14*j**2 - 3*j + 21. Let n(r) = 9*r**2 - 4*r**2 + 1758*r - 1757*r - 7. What is 3*b(x) + 8*n(x)?\nAnswer: -2*x**2 - x + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -5, 5, 1, -2\/15, 5686?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4494314651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2506*f - 553168 = -3702*f - 78*f for f.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 + 39.99863. Round j to four dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)*-2)\/(sqrt(6) - (sqrt(6) + 4*2*sqrt(6))) - (sqrt(196)\/sqrt(2) - (sqrt(72)*3)**2).\nAnswer: -13*sqrt(2)\/2 + 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 4*b = 3*d - 44, 5*b = 5*d + 35. Let s = 24 + -44. Let o be ((d\/s)\/3)\/(-1). Sort 0.1, o, -2\/13.\nAnswer: o, -2\/13, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 3*g + 10 = 0, -3*o + 6 = -120*g + 118*g for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 0.6595.\nAnswer: 0.6595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49242.\nAnswer: 2, 3, 29, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 6*x**2 + 4*x - 4*x)*(4*x + 3*x - 6*x)*(1 - 1 + 3*x).\nAnswer: 18*x**4 - 3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17.16 - -17. Let q = -0.04 + i. Let a(s) = s - 2. Let k be a(4). What is the third biggest value in k, q, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 2, a: 1, f: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 261 = -55*o. Solve 0*p + 17 = 3*p - 2*u, p = -2*u - o for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = o - 603. Suppose -5*u - 2*c = -61 - 116, 5*u - 4*c - o = 0. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 5:53 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 576 and 4368.\nAnswer: 52416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 11 = 3*c. Suppose -25 + c = -q. Suppose 0*a + 30 = 5*a. Solve 2*g - 2*i + a = 0, 0*i - 4*i + q = -2*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q - 174 + 87 + 0*q**2 - 6*q**2 + 87 to f*q + s*q**2 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -1\/40*t**6 + 8*t**2 + 0 - 11\/60*t**5 + 0*t + 0*t**3 + 0*t**4. Find the third derivative of h(k) wrt k.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -9, 0.5, 3\/7, -28?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 40 = 3*s, -3*w - 45 = -8*s + 6*s. Solve -s*c + 10*c + 2 = -2*h, 0 = -3*h + 2*c - 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 0 + -98 + 112?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from 33985.\nAnswer: 33990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 522 by 29.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - -2)*0\/(-5). Let n be (-24)\/(-9)*(-3)\/(-2). Suppose -4 = -h - b, 3*f + 16 = n*h. Solve 0*x + 3*x - 15 = f for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/16)\/((-9)\/4). Let y be -21 - (-1 - (-2 - -1)). Let s = y - -22. Which is smaller: m or s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2759*x - 9564?\nAnswer: -2759","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1160)\/(-1218)*7\/(-6).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*q - 6 = 0. Suppose 0*m - q*m = -36. Suppose 0 = -2*j - m + 56. What is the remainder when 63 is divided by j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 4*x + 302. What are the prime factors of w(0)?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by 309144.\nAnswer: -5\/154572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*r + 23. Let f(n) = -n + 8. Let z(t) = 2*t**2 + 13*t + 12. Calculate the remainder when z(-6) is divided by f(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/23 in 2\/3, 196\/853, 0.4?\nAnswer: 196\/853","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14616*t**2 - t**3 - 14616*t**2 + 73083*t**2 - 14620*t**2 - 14622*t**2 - 14609*t**2.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-100)*(-550)\/(-20))\/((-6)\/4)\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-12\/7)\/((g*g**(2\/11))\/g))**38 assuming g is positive.\nAnswer: g**(-5548\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3550791ug to nanograms.\nAnswer: 355.0791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3971903 (base 10) in base 14?\nAnswer: 7556b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 202\/21 + (375 - 394) + 4\/(-14).\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 113236.\nAnswer: 113236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 17*s**2 - 346*s. Let u(m) = m + 75. Let r(a) = 3. Let w(z) = 50*r(z) - 2*u(z). What is l(w(p))?\nAnswer: 68*p**2 + 692*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and 1089867.4?\nAnswer: 1089862.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -30 - -292 - (3\/(-6) + 0)*4. What is the highest common divisor of q and 209?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of 5\/12*s**4 + 2*s + 0 + 1\/20*s**5 + s**2 + 2\/3*s**3. Calculate the lowest common multiple of i(-3) and 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -30*y**2 + 22*y - 40*y**2 - 22*y + 3*y**2. Let m(i) = i. Calculate m(w(x)).\nAnswer: -67*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of 7 + 2*f**2 + 2*f + 1\/3*f**3. Give i(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -58, -64, -80, -112, -166?\n\"Answer: -b**3 + b**2 - 2*b - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 85715657*r**2 - 100379*r - 114?\nAnswer: 171431314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7014*11\nAnswer: 77154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-1) - -3)*0. Suppose 0 = -l - 5*q + 49, 29 = l - j*l - 5*q. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.81, 5, -0.2, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31359089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-36)\/2)\/9*(2 - 0). Sort -5, v, -64 in decreasing order.\nAnswer: v, -5, -64","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -9*d**2 + 3*d. Let i be r(2). Let g = 30 - i. What is the greatest common factor of 20 and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 93357*-0.03\nAnswer: -2800.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 3*q + 38351. Is u(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13254 to the nearest 100.\nAnswer: 13300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 729866839 and 1157?\nAnswer: 1157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 + -42. Let w = g + 28. Calculate the remainder when 30 is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 4*g - 5*f, 0 = -16*g + 13*g - 3*f - 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1549 to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*f**2 - 40*f**2 + 164*f**2 - 38*f**2 - 48*f**2.\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -44*w**2 + 4*w - 6. Determine h(2).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -436, -3336, -11108, -26158, -50892, -87716?\n\"Answer: -401*a**3 - 30*a**2 - 3*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(13) - (sqrt(65)\/sqrt(5) + 0))*5 - (-5 + sqrt(156)\/(sqrt(24)\/sqrt(2)) + (sqrt(13) - (2 + sqrt(65)\/sqrt(5))**2)).\nAnswer: 2*sqrt(13) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 223590 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than -6648?\nAnswer: -6652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114855 is divided by 11478.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*q + 35229 = -17571. Suppose 3*r = -0*r + 5*y + 1642, 0 = -4*r - 4*y + q. What are the prime factors of r?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23028*b**5 + 320*b - 4?\nAnswer: 460560*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**3 - 2*z**3 + 5*z**3)*(237 - 233 + 0*z + 2*z)*(-14 + 19 + 23).\nAnswer: 56*z**4 + 112*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.5 (b) 17 (c) 2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 332\/9 less than or equal to 36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of 3*g**5\/20 + g**4 + 3*g**3\/2 + g. Factor f(i).\nAnswer: 3*i*(i + 1)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -17*v**2 - 53*v - 10. Let j be i(-3). Suppose -4*m - 3*n - 11 = 0, 3*m - n - 10 = -2. Let g(x) = 2*x + 2. Let a(p) = 1. Give j*a(o) + m*g(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(-4)\/(-30)*10. Suppose s*a - 35 = 3*k, -5*a - 4*k = -0*k - 5. Let m(v) = -v**2 + 5*v - 6. Give m(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 100 + -63. Suppose -7 = n - u. Is n a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9058 = -4*d - 3*d. Let n = d + 2168. Let h = n - 595. Calculate the highest common factor of 31 and h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1225 and 8995?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = d - 5, 3*d + 2*w - 5 = -0. Calculate the least common multiple of 2\/(-4)*-6 + 4 + -2 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, -0.214546, -9 in descending order.\nAnswer: -0.214546, -9, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.02085733 to four decimal places.\nAnswer: 4.0209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 894935700 a multiple of 5925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**5*y**(-11))\/(y\/(y**1*y)*y*((y*y**0)\/y)\/y) assuming y is positive.\nAnswer: y**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4108 + -3742. Is 4 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -9241, 2 in increasing order.\nAnswer: -9241, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + o - 6 = 0. Let f(c) = c**2 - 5*c + 7. Let y be f(4). Suppose -y*d - o*d = 0. Solve 5*i + 25 = -0*i + 3*w, d = -2*w + 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25.66 + -0.1\nAnswer: -25.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 25449615 a multiple of 3159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27025742 is divided by 10845?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - q**2 - q + 4. Let v be d(0). Suppose 0 = 210*a - 225*a - 1470. Let x be a\/(-56) + 1\/4. Solve 1 = v*i - 5*j, 3*i - 4*j + x = 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 720 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1620570 to the nearest ten thousand.\nAnswer: 1620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -11 + -1 + (30 - (6 + -10 + 9))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 6*y - 4*y)*(-43 - 55 + 0).\nAnswer: -294*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -146 times -1.12?\nAnswer: 163.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 67 - 62. Let m = 9 - 5. Solve -m*w = w - p for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 23, 140, 457, 1076, 2099?\n\"Answer: 17*m**3 - 2*m**2 + 4*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u - 4*u - u + (-6 - 2 + 2)*(4*u - 3*u + 8*u) - 6 + 6 - 3*u.\nAnswer: -60*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, -3, 5, -4\/7, 1 in increasing order.\nAnswer: -3, -4\/7, 0.04, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 6 + 1 = 0. Suppose 0 = o*a - 9*a + 36. Suppose -a = r - 70. What are the prime factors of r?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4758 divided by -366.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-930)\/(-60))\/(1\/(-5) + 336\/480)*-1?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 152 and 3524.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*b + 14 + 20. Suppose -b*h - 128 = -4*p, p - 16*h - 32 = -11*h. What is the greatest common factor of p and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s + 12. Let z be q(6). Suppose -y - 5 = 2*n, 2*y + 1 = n + 16. Find the first derivative of 9*v**3 - 5*v**3 - y + z wrt v.\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 280 and 320.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2567 + 2564. Let j = -0.26 + -0.04. Which is the third biggest value? (a) 0.14 (b) j (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1) + -18 + 25\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -5, 4, -0.17, 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 + 2)*(-4 + 0 - j + 1) + (-2*j + 3*j + 0*j)*(2 - 5 + 5) to the form z + a*j and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-3) + (-224)\/(-84). Let l be 18*(2\/b + 0). Sort l, -1, -7, 0 in increasing order.\nAnswer: -7, -1, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296 is divided by 95?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away -665579722.275?\nAnswer: 665579722.075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 3*u + 77, -4*u + 117 = 2*p - 9*u. Calculate the remainder when 87 is divided by p.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from esseshtsse.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16\/59, -4\/7, -1\/3, -0.01, 1\/5 in descending order.\nAnswer: 1\/5, -0.01, -16\/59, -1\/3, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.5 - 2. Let s = 1.815 + 0.185. Which is the nearest to s? (a) 1 (b) i (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2031388.513 rounded to the nearest ten thousand?\nAnswer: -2030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 59744586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 48*n + 66*n + 12*n**2 - 97*n. Let w(k) = 11*k**2 + 16*k. Let u(f) = -6*a(f) + 7*w(f). Factor u(j).\nAnswer: 5*j*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2283964 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: Calculate the highest common factor of 3 and 2049777.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 132*v - 16744. What is h(126)?\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 500734976 divided by -112.\nAnswer: -4470848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 554606 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 88 - (45 + 64 - 32)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 228*d - 227*d + 3*i - 29800, 0 = 4*d + 5*i - 119151. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1186?\nAnswer: 2, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 11\/4*u**4 - 11\/3*u**3 - 3\/5*u**5 + 1\/2*u**2 - 4 + 2*u. What is s in f(s) = 0?\nAnswer: -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21\/4 of a millennium?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s**2 - 2*s**2 + 0*s**2)*(-63*s + 27*s + 60*s) + 9 + 3*s**3 - 9 + s + s**3 - s - s**2.\nAnswer: 76*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 9*b - 4*b. Put -8, b, 3, 0 in decreasing order.\nAnswer: 3, b, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3570 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.604 + -2.096. Let g = 95.2 + -95. What is the second smallest value in n, g, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 167*a**3*m - 302*a**3 + a*m + 15*a + 16548383*m wrt a?\nAnswer: 501*a**2*m - 906*a**2 + m + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m = 3*p - 14*m - 4067, 0 = 3*p - 2*m - 4055. What are the prime factors of p?\nAnswer: 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(384)*-2)\/(2*sqrt(128)*4 + sqrt(128)).\nAnswer: -4*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 31413135 times -0.03\nAnswer: -942394.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 3:52 PM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-23)\/(414\/24)*(-3)\/30. Which is the nearest to y? (a) -1.6 (b) 0 (c) 0.1 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36.6 + 22.9. Let d = r - -13.2. Put 0.3, d, -30 in ascending order.\nAnswer: -30, d, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85891869017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 176, 344, 512, 680?\nAnswer: 848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yqypqyy. What is prob of picking 3 y?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 68*c*g**2 + 4*c*g - c + 6228*g**5 + 23*g + 348 wrt g.\nAnswer: 136*c + 124560*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 619764588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -6*g + 7. Let n(w) = 5*w - 6. Let u(v) = 6*d(v) + 7*n(v). Suppose 0*r - 12 = -2*x - 5*r, 2*x - r = 0. Let m(b) = -2*b - 1 + x. Determine m(u(j)).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 31961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 11:40 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2274*s**2 - 24*s. Let q(k) = -190*k**2 + 2*k. Determine -2*j(t) - 25*q(t).\nAnswer: 202*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(4\/9)*v**7)\/(v*v\/v**(-1\/14)*((v*v**(1\/10)*v*v)\/v)\/v) assuming v is positive.\nAnswer: v**(1346\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-675)\/(-54)*1\/5*2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 30 = 5*r, 0 = 4*r - 13*p + 168 - 144 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of a**6\/30 + 3*a**5\/20 + 5*a**2 + a. Let c(f) be the first derivative of y(f). Find the third derivative of c(j) wrt j.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**4\/2 - 38*n**3 - 110*n**2 - 56*n.\nAnswer: n*(n - 28)*(n + 2)*(3*n + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -5*t + 3*x - 1, -3 = 3*t + 2*x for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 234.55053 rounded to 1 decimal place?\nAnswer: 234.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 e when two letters picked without replacement from eqtetrrttr.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*i**4 + 10*i**5 - 8*i**4 + (2*i - 4*i + 0*i)*(i**2 + 3*i**2 - 5*i**2)*(i**2 - 6*i**2 + 2*i**2).\nAnswer: 4*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (60\/(-160))\/((-3)\/1). Let x = -1.8 + -0.2. Which is the closest to 1? (a) x (b) -3\/4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/17 + 1030*z\/17 + 14028\/17.\nAnswer: 2*(z + 14)*(z + 501)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*k**3*o + 3*k**3 - 16*k*o**3 - 875*o**3 wrt k.\nAnswer: 9*k**2*o + 9*k**2 - 16*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of 10 + 2\/3*q**3 + 5*q**2 - 5\/2*q**4 + 0*q - 2\/5*q**5. Solve w(l) = 0.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, o: 4, b: 7}. What is prob of picking 1 o and 1 b?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from tvttv.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -548682 divided by -4813.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/((-24)\/(-15) + -2). Let c(b) be the third derivative of b**5\/15 + b**4\/4 + b**3\/3 + 11*b**2. Is 23 a factor of c(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 72, -149, -372, -597, -824, -1053, -1284?\n\"Answer: -s**2 - 218*s + 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + -1)\/(7 + -8). Sort -4, d, 26, -2 in ascending order.\nAnswer: -4, -2, d, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6637?\nAnswer: 6637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 1 - 5\/((-165)\/209).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*j + 499 = 0, 5*i - 2427 = -52*j + 49*j. Does 17 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18.85 * 0.015.\nAnswer: 0.28275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, 18, -2\/99, 0, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*c + c + c + (0 - 1 + 0)*(-c + 0*c + 2*c) + 5*c - 29 + 29)*(-33 + 100*c + 33) as t*c + f*c**2 + i and give f.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 109 + 283 = 119. Solve 5*o - 8 = -y, -c = -5*o + 70*y - 72*y for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -57.314266 - -59.4143. Let h = -2.1 + r. What is h rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314747 is divided by 314728?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2082 - 2067 = 5*f. Solve 4*z + 2*b = -0*z - 22, f*z = -4*b - 29 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1123*d**2 - 2 + 1124*d**2 + 2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) -5 (b) 4 (c) -0.5 (d) -2\/17 (e) 3185\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 o when three letters picked without replacement from {o: 4, x: 16}?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = -202*i + 158*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37264295 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 76\/109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1466735 divided by -233\nAnswer: 6295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*i**5 - 2*i**4 - 1952*i**3 + 2*i**2 - 259*i - 106 wrt i?\nAnswer: 960*i**2 - 48*i - 11712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 318 and 381759.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-19)\/w**32 assuming w is positive.\nAnswer: w**(-51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -491 - -489. Let u be ((-159)\/(-66) + t)*28\/21. Let z be 1\/(-3) - (-2)\/(-3). Sort -0.2, u, 3, z in descending order.\nAnswer: 3, u, -0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**3\/5 - 334*r**2\/5 + 2024*r + 470400 = 0. What is r?\nAnswer: -147, -100, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1047*-4.\nAnswer: -4188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227 is divided by 226.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 1:42 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 75 - 40. Suppose g + 4 = 2*n - 1, n - 5*g = -20. Calculate the greatest common divisor of w and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 5*y + t - 25, -4*y = 5*t - 21 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 8*v + 13. Let b be o(-6). Let n be (-24)\/(-10) + 2\/(-5). Let j be n\/(-4) - 4\/(-8). Put b, -2, j in ascending order.\nAnswer: -2, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -n**7\/147 - 2*n**6\/105 + n**5\/35 + 4*n**4\/21 + n**3\/3 + 2*n**2\/7 - 14*n. Let h(o) = 0. What is o?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 - ((-106)\/(-795))\/(4\/390)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*(-5 - 8\/(-4) - -4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*g**4 + 2*g**4 + 2*g**4 + (6*g**3 - 18*g**3 - 10*g**3)*(1 - g - 1).\nAnswer: 19*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-5) + (-83114)\/(-290). Let b = i + -293. Let a(w) = w**2 - 2*w - 6. Let y(m) = 3*m**2 - 5*m - 17. Determine b*y(d) + 17*a(d).\nAnswer: -d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*a*j**5 + 27*a*j**4 + 106*a*j**3 - 38*a*j**2 + a + 438*j wrt j.\nAnswer: -240*a*j**2 + 648*a*j + 636*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12 and -0.388?\nAnswer: 4.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -3. Let n(y) = y**3 - 8*y**2 + 10*y - 19. Let u be n(7). Suppose a + 3*c + 2 = 0, -5*c - 7 = -4*a + u. What is the highest common factor of a and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + c - 8. Let h(x) = 4*x**3 + x**2 + 2*x + 1. Let i be h(-1). Calculate l(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -166, -170, -174?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 14*s - 190. Let n be y(7). Round n to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24.95 + -20.4. Let o = -0.25 + s. Let c = o + -4.3153. What is c rounded to three decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/49 in 0.1, -2\/9, -23, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -40663*n - 365969. Determine f(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 7798614 divided by 3.\nAnswer: 2599538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 261 + -44. Suppose 5*o - b = -42. What is the remainder when o is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of d**7\/1470 + d**6\/280 - d**4\/42 - 8*d**2. Determine m so that q(m) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 10\/3, 0.07, 3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11193.\nAnswer: 3, 7, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((-5*sqrt(931)*1 - -2*(1 + sqrt(931)))*-5 - (-4 + -5*(sqrt(931) + sqrt(931) + (1*sqrt(931) - sqrt(931) - sqrt(931)) + -2))))**2.\nAnswer: -40320*sqrt(19) + 3353904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49539 - 89539. Round n to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -k**5\/70 - 2*k**4\/21 - 5*k**3\/21 - 2*k**2\/7 + 45*k. Determine c so that q(c) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a. Let v be h(0). Let k = -49726 - -49731. Solve v*r + 22 = r - k*c, 18 = r - 4*c for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -285100 to the nearest 10000.\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 7*s + 3. Let n be d(-4). Let t be (-4)\/(-10) - 15\/n. Suppose 3*x = -l + 10 + t, 2*x - 2 = 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: Solve t - 13 = -2*v, -2*t + 2*v + 39 - 49 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -4, 2\/15, 2\/9, 0.2, 1.9?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 37*b**2 - 2*b + 2. Is x(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 plus -572.63861771?\nAnswer: -572.66861771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - -48642\nAnswer: 48642.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -w**7\/504 - w**4\/8 - w**2. Let u(g) be the second derivative of p(g). Let v(s) = -6*s**2. Determine -3*u(a) + 2*v(a).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 7820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10580360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -2569*r**5\/60 - 1361*r**2 - r. Let k(h) = -5*h. What is k(b(s))?\nAnswer: 12845*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1051593 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*k - 10 = 20, 4*a - 15 = -k. Suppose -a*s + 307 = 107. Calculate the least common multiple of s and 90.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**3 - 84*d**2 - 240*d - 10. What is p(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9 (b) -2 (c) -5\/4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12ab33 (base 15) in base 4?\nAnswer: 3122332002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*v = 22*v + 440*h + 7920, 2*h = -v - 0*h - 36 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + 6*q + 1. Let w be n(-5). Let l be (-16)\/20*10\/w. Solve -5 = 5*h + 3*g + 5, l*h + 3 = -g for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of -v**9\/10584 + v**8\/5880 + v**7\/1470 - v**3 + 5*v**2. Let g(h) be the first derivative of y(h). Factor g(m).\nAnswer: -2*m**3*(m - 2)*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen halves of a day in minutes?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 36.39751 millilitres in litres?\nAnswer: 0.03639751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -2, -0.21, -0.1 in descending order.\nAnswer: 2\/9, -0.1, -0.21, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.1 + 0.5. Let y = z - 4.484. Round y to 2 dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**2. Let f(p) be the third derivative of -2*p**2 + 75 + 0*p**3 - 1\/15*p**5 + 0*p - 5\/24*p**4. Calculate f(l(t)).\nAnswer: -16*t**4 + 10*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -153491, -153537, -153619, -153731, -153867, -154021?\nAnswer: -154187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -303*r - 2262 = -361*r for r.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 125*p**2 - p. Let b be i(1). Let h = -14 + b. Let l be (h\/(-33))\/((-4)\/6). What is the closest to -0.1 in -1\/3, l, 0.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 2*p - 313 = -165 + 258 for p.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 2*a + 0*a)*(-1 + 0 + 3) + (1 - 8 + 0)*(0*a - 2*a + 7*a) - a - 2*a + a.\nAnswer: -41*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 221431\/790 - -807\/158. Which is bigger: 286 or b?\nAnswer: 286","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40.71 - -6.05. Let c = 46 - w. Round c to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6 - 152\/((-3)\/3). Let z = w + -118. Is 10 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*s, 0*s - 36 = -4*r - s. Suppose 0 = -10*x + 6*x - 292. List the prime factors of (x + 7)*r\/(-6).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of q**7\/5040 + q**6\/120 + 71*q**5\/60 - 2*q**2 - 3*q. Let s(o) be the third derivative of x(o). Give s(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - a - 2 = 0, -5*u = -u - a - 2. Solve -17*k = -u*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*f**4*w**2 - f**4 - 2*f*w**2 + 4*f*w + 2 wrt f.\nAnswer: 60*f**2*w**2 - 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 380736 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 322342256 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8112616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 1 + 19. Let d = 40.9 + -41. Which is smaller: a or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/41734323 or -1?\nAnswer: -2\/41734323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 0 + 3)*(4*s + 2*s - 4*s) + s - s + 2*s + 132 - 132 - 55*s - 3*s + 4 - 3 + 4*s)*(-2 + 3 - 2) to the form g + k*s and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10141960 divided by 31.\nAnswer: 327160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 22*a + 32. Let z(b) = 67*b + 95. Let p(n) = 17*d(n) - 6*z(n). Let i(h) = -28*h - 25. Let t(l) = -4*i(l) + 3*p(l). List the prime factors of t(4).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 5*f**2 + 6*f - 9. Let h be s(-6). Sort -2, 4, -5, h in decreasing order.\nAnswer: 4, -2, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6 - (-42)\/(-9))*6\/4. Suppose -l*i + 5 = -7*i. Let c be (2 + -1)\/(i\/93*-3). Solve -2*h = 5*o + 1 - c, -3*o + 2*h = -2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, j: 1, k: 4, c: 1, n: 5, h: 6}. What is prob of picking 1 w and 1 k?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 12 = -3. Let u = -0.4 - -0.1. Which is the closest to u? (a) -1 (b) -3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*c*l**3 - 111046*c + l**3 - 53948475*l wrt c?\nAnswer: 8*l**3 - 111046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 14*k**2 + 8*k - 7. Let p be f(1). Suppose 0 = -12*n + p*n - 2709. Is n a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 12*w**2 - 15*w + 8. Let g be l(11). Let z be 178\/3*g\/(-24). Let q = z + -81. Solve -2*c + 4*m = -0*m - q, -3*c + m = -7 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28268 by 74.\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -21*l - 20. Let o be q(-1). Let r be 3274\/(-9) - (-6)\/(-9). Let s = 365 + r. Which is smaller: o or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 1 = 7. Solve -2*t - 3*i - 17 = 0, -8 + 22 = -2*t - m*i for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of b*c**2*p**2*x + 88414*b*p**2*x**3 + c**2*p**2*x**2 - 69*c*p**2 + 6*c*p*x**3 - p**2*x**3 wrt b.\nAnswer: c**2*p**2*x + 88414*p**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -0.76, 2.8, 0.2, 213.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1713791, -3427496, -5141191, -6854870, -8568527?\n\"Answer: h**3 - h**2 - 1713709*h - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + m + 1)*(-54 + m + 30 - 51).\nAnswer: m**2 - 75*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 5*v + q - 30, -v + q = 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 12:26 AM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 - 1.8. Let t = 2.5 + q. Let i = -4.858 - 0.142. Put t, i, -2 in ascending order.\nAnswer: i, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-12) - 190\/15. Let s be 309\/(-12) - k\/16. Is -25 <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/1 - -7 - 3. Suppose -5*t + 96 = -3*x, 92 = n*t + x - 16. What are the prime factors of t?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18aa712 (base 12) to base 2\nAnswer: -10011110110000101111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 41.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 12355777 divided by 7\nAnswer: 1765111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9, 3, 2, 0.0713?\nAnswer: 0.0713","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30107 by 5.\nAnswer: 30107\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 0*i**3 + i**2 - i + i**3 + 1 - 21*i**3. Let a be g(1). Let p = a - -21. Solve -p*z = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1006471, -2013064, -3019657, -4026250, -5032843?\n\"Answer: -1006593*v + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 0.38 (c) 1\/6 (d) 16 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-177)\/(-897) - (-1940)\/(-12610).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 380 - 380. What is the second smallest value in y, 2.5, -0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 3*i - 117 = 0, t + 3*i - 7*i = 5. Solve 6*u - 3*u - 3 = 0, -5*a = -4*u - t for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from udbgdgbdugudgu. Give prob of sequence bubu.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + 5*t + 37. Calculate k(0).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 260813.174 to the nearest 10000.\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 m when two letters picked without replacement from {s: 2, m: 3, y: 4, i: 6}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -c + 96*j - 93*j, 5*j + 38 = 2*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 80 = -2*h. Let z = h + 72. What is the remainder when z is divided by 15*(-5)\/((-30)\/8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 6*c**2 - 2*c - 8. Calculate the remainder when n(5) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 231027?\nAnswer: 231023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*o - 57*o = -20, -3*o - 76 = -4*m. Solve m*j + 32 = -16 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 7, 25, 59, 115, 199, 317?\nAnswer: 475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m + 8. Let o be 30\/4*8\/10. Let b be a(o). Suppose -b*i = -6*i + 12. Does 2 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*i**2\/4 - 16198998*i + 21598665\/4 = 0. Calculate i.\nAnswer: -7199555, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4323420190?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -9*o**3 + 3*o + 2. Let a be 86\/(-18) + 2\/(-9). Let k(f) = -4*f**3 + f + 1. Let y be 6\/2 + (6 - 7). Let h be y + -2 + 20\/10. Give a*k(r) + h*d(r).\nAnswer: 2*r**3 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39 and 33410?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 9:10 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 11:30 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - c = -51 + 239, g - 5*c - 66 = 0. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2 - 2 + 5*r + 5. Let v(m) = -m + 2. Let p(f) = 2*f - 1. Let i(x) = -3*p(x) - 2*v(x). Let o(g) = 4*i(g) + 3*y(g). Differentiate o(u) wrt u.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 a when four letters picked without replacement from awawaaaaawwamwwaaaww.\nAnswer: 616\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13\/20736 - 150185\/4375296. Calculate the common denominator of 33\/8 and t.\nAnswer: 1688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 - 13411503?\nAnswer: -13411514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3817, 3612, 3407, 3202?\nAnswer: 2997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**3\/7 + 3900*x**2\/7 + 98151*x\/7 - 102050\/7 = 0. Calculate x.\nAnswer: -26, 1, 3925","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -x**4\/12 + 7*x**2 + 2002*x. Calculate s(-6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.8 - 1.8. Sort g, -2, 0.\nAnswer: -2, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h - 3. Let n be t(-6). Suppose 3*l = -9, 2*v + n*l = 5*l + 2. Sort 0.4, v, -3 in decreasing order.\nAnswer: 0.4, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x**5\/11 + 28*x**4 + 692*x**3\/11 + 288*x**2\/11 - 298*x\/11 - 196\/11 = 0. Calculate x.\nAnswer: -49, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.99 - -3.99. Which is the closest to x? (a) -0.4 (b) 7 (c) -24 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/3 or 3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 123161 and 363163?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119610238, 119610236, 119610234, 119610232?\nAnswer: 119610230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 950870054.\nAnswer: 2, 18427, 25801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 47073973?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**3 + 10*q**2 + 2*q - 6. Give x(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.383038 * 533.\nAnswer: -204.159254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 3*o + 1, -5*o - 23 = -4*d. Suppose 3*m - 58800009 = 3*p, p - d*p - 19600012 = -4*m. Round p to the nearest one million.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4274.7398 rounded to the nearest integer?\nAnswer: 4275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102.8*-4.\nAnswer: -411.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 i when three letters picked without replacement from iamqqoomiomoqqqq?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.396754 rounded to one dp?\nAnswer: -26.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2827 + -2665. Which is the smallest value? (a) j (b) 4 (c) -2 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 1)*(-9575*i - 476*i**3 + 9575*i)*(-2*i**2 + 4*i**2 + i**2).\nAnswer: -4284*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 1, -97 in descending order.\nAnswer: 1, -23, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/2*(1 + 23). Suppose -3*c = -3*m - 9, -9 = 5*c + 4*m - m. Suppose c = 3*s - 0 - g. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1807 and 973?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -544261*y**2 - 839325 wrt y.\nAnswer: -1088522*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207398?\nAnswer: 2, 103699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.618 + 0.206. Let d = -6.5 + 7.3. Let p = r - d. Round p to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2852.132 - -2875. Let v = -1.132 - f. Let t = -1.5 - 0.5. Sort t, v, -4, -3 in increasing order.\nAnswer: v, -4, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 7*d - 56 = 2*d, 3*f + 4*d - 52 = 0. Let j = f - -43. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 11) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*i**3 + 15*i**3 - 44*i**3 + 12*i**3 + 7*i**3.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 3181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -210, -686, -1612, -3138, -5414, -8590, -12816?\nAnswer: -18242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 12663?\nAnswer: -12662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -29024 not equal to -29026?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((4 - 6 - -4) + -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*j - 2*j. Does 9 divide 17 - (-3 + j)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -0.9 (b) -0.02 (c) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/10)\/(3*(-2)\/(-390)). Let p = -20 + l. Is 6 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*r - 60 - 230 = 0. Solve -11 = -r*n - 21, 5*m - 4*n = 35 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5256*x + 3248 = -5053*x for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhwhppwpwwphww. What is prob of sequence ph?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5\/8 (b) -4 (c) -3\/2 (d) 2 (e) 459 (f) 0 (g) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11374 or 11381?\nAnswer: 11381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence een when three letters picked without replacement from xxnxxxeeeexxndneneex?\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -438 + 288. Let w = 262 + k. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-6) - ((-14 - -12) + 4)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1322, 1304, 1276, 1238, 1190, 1132?\nAnswer: 1064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -466 - -1397\/3. Let q be (-2 + 29\/14)*-4. Which is the smallest value? (a) -0.3 (b) t (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4*m + 3 = -1, -4*m - 6 = -n. Let k be (n - 5) + 3 + 3. Solve -z - 2 = a, 2*z + k = -4*a + 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -365*g - 44. Let r be k(-16). Suppose -2*y = -8, -10*y - r = -5*f - 9*y. What are the prime factors of f?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uumwuwwuuwwmwwmw. Give prob of sequence wwmw.\nAnswer: 3\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5510 - -5510.002182. What is z rounded to 4 dps?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence clhh when four letters picked without replacement from {c: 4, h: 9, l: 3}.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 15, 2\/9, 0.1, 178?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44278*a - 1828*a + 2 + 14528*a.\nAnswer: 56978*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - -4. Suppose 5*y = -15, 7*y - 4 = -2*r + 5*y. Solve r*o + 23 = 2*n, q = -3*n - 3*o + 9 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, p: 5, k: 2, f: 1, i: 1}. What is prob of picking 1 k and 1 i?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -133*f**4 + 49*f**3 - 35. Let c(p) = -11*p**4 + 4*p**3 - 3. Let s(h) = 49*c(h) - 4*x(h). Differentiate s(m) with respect to m.\nAnswer: -28*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13943571?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2696, -21617, -72976, -172991, -337880, -583861, -927152, -1383971?\nAnswer: -1970536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50728777 + -0.08.\nAnswer: 50728776.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9967, -14617, -19269, -23923, -28579, -33237, -37897?\n\"Answer: -r**2 - 4647*r - 5319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/10 + 6968\/(-9880) - (-8778)\/1083.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -11449*m**2\/5 - 5736912*m\/5 - 718668864\/5 = 0?\nAnswer: -26808\/107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/3*(-9)\/(-2). Let p = a - -13. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1365 - -0.00612?\nAnswer: -1364.99388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2736 = -6*w - 3*w. Does 10 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 6 + (0 - 2) - -4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 2*q + 66 = q, 58 = 5*l - q. Let t(s) = 68*s**2 - 53*s**2 - 2 + 4*s + l - s**3. Does 14 divide t(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.566361 days to hours.\nAnswer: 157.592664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -289 (base 13) to base 15.\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (1*sqrt(1250)*-3)\/(-5*(sqrt(90) + -3*sqrt(90))))*5.\nAnswer: -5*sqrt(5)\/2 + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/6191 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 + 8*r**2 - 7 - 15*r**2 + 4 to f*r**2 + h + w*r and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 7*w - 9. Let r be k(3). Suppose 2*f + 3*d = 4118, r*d + 825 = 2*f - 3269. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7 + 3.3. Which is the second biggest value? (a) h (b) -1 (c) 1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d - 23*d + 6*d - 8*d - 2*d.\nAnswer: -22*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 3*v + 3. Let i be f(-3). What is the greatest common divisor of i and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 2*a - 18 = 0, 3*f = 3*a + 5 - 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 354 and 1171686723.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 2*r + p + 8, -2*p = r - 2. Let j be ((-32)\/(-10))\/(r\/(-15)). Suppose -4*v + j*v = 44. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a minute in milliseconds?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 18*a**2 - 21*a + 37. Is m(-21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9122193.\nAnswer: 3, 337859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 3)*(2*q - 3*q - 2*q)*(74 + 184 - 9).\nAnswer: 747*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 q when two letters picked without replacement from {k: 1, a: 2, j: 1, q: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 162*n - 22 - 53 + 2*n**3 + 55*n - 74 - n**3 wrt n?\nAnswer: 3*n**2 + 217","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11 + -f?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39 + 63. What is the remainder when 68 is divided by p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*k**2 - k - 8 + 8.\nAnswer: 94*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 63283451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 7899.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -11. Let z(u) = -2*u**3 + u + 3. Let b(m) = -3*m**3 + 5*m**2 - 7. Let q(f) = 2*f**3 - 3*f**2 + 4. Let w(r) = 3*b(r) + 5*q(r). Give l*z(v) - 6*w(v).\nAnswer: -2*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1689713, 3379424, 5069135, 6758846?\nAnswer: 8448557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -f**6\/360 - f**4\/12 - 2*f. Let p(y) be the third derivative of d(y). Let u(r) = 2*r. Determine p(u(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -101*f - 774. Calculate c(-5).\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -59*c*d**4*n + c*d**3*n + c*d + 22*d**3*n**3 + d**2*n**3 + 600*d**2 wrt d?\nAnswer: -1416*c*d*n + 6*c*n + 132*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*x - 3*x - 3*x)*(6*x - 3 + 4 + 185*x) as t + c*x**2 + l*x and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 0. Let s be -1*(3 - ((1 - -1) + d)). Which is smaller: -1\/23 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11, 4, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -81, 310334, 1 in descending order.\nAnswer: 310334, 1, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 9:06 PM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -401 + 407. Let z(a) be the second derivative of 0*a**3 + 13*a + 0*a**4 + 0 + 3\/10*a**y + 0*a**5 + 1\/2*a**2. Differentiate z(v) with respect to v.\nAnswer: 36*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/264 and 47\/2304.\nAnswer: 25344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do 1070 and 1067 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 2 + (5 - (0 + -3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5590*m**4 + 53 - m**2 + 5314*m**4 - 55 + 2*m + 3*m**3 - 5*m**3 to p + b*m**3 + d*m**4 + k*m**2 + r*m and give d.\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64\/1280*100 + (-70)\/12.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 7)*(4*d + d - 6*d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g = 74 + 70. What is the highest common factor of g and 57?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*i**3*k**2 + 121549*i**3*k*x**3 - 20137*i**2*k**2*x**3 - 3*i**2*k**2 - 32*i*x**3 wrt i.\nAnswer: -30*k**2 + 729294*k*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4*f**3 - 7*f - 5. Let v(x) = -2*x**2 - 4*x - 3. Let k be v(-2). Let o(s) = -4*s + 9 - 9 - 2 - 2*s**3 + s. Determine k*b(n) + 7*o(n).\nAnswer: -2*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.1 - 0.9. Let y = -379.933 + 380. Let h = 0.033 + y. Sort 5, h, s in decreasing order.\nAnswer: 5, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 429409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-70)*936\/54 + 102\/(-119). Suppose 0 = -4*v + 7 + 5. Factor 2\/15*g**4 + 0 - j*g**v + 0*g - 4\/15*g**2.\nAnswer: 2*g**2*(g - 2)*(g + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155342331 to the power of 1\/3, to the nearest integer?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + 67*q - 2368. What is the tens digit of p(-120)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91073892 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11982 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8414332 by -4207166.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2176.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -157 - -96. Let w = q - -68. Calculate the highest common factor of w and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, -1, -0.4, 6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/163229 and -9\/2300045.\nAnswer: 25300495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 2*m**2 + 46*m - 7. Let q(v) = 38*v**2 - 189*v - 11. Let r be q(5). What is s(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1665)\/7400 - 15\/40?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*l - 65*l + 16*l + 18*l - 2 to the form h + s*l and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 44037619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 909666 divided by 1746\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142.3414 millilitres to litres.\nAnswer: 0.1423414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(170)*-2 + -2*1*sqrt(170))\/(-1*sqrt(160) + (2*sqrt(90) - sqrt(90))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 2639238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -325144, -650277, -975410, -1300543?\nAnswer: -1625676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 = 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-120)*-16*((-4)\/5 - 4407\/(-4290))?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -q**4*r**2 + 58014*q**3*r**2 - 22*q**2*r**2 - 3740 wrt q?\nAnswer: -24*q*r**2 + 348084*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -160*m**4 + 20*m**2 - 372. Let q(v) = 23*v**4 - 3*v**2 + 53. Let o(s) = -3*b(s) - 20*q(s). Differentiate o(d) wrt d.\nAnswer: 80*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**2\/13 + 45950*z\/13 - 505692\/13 = 0.\nAnswer: -22986, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/7)\/(y\/(((y**(-2\/15)\/y)\/y)\/y))*y**(1\/2)*y*y**1)\/(((y*(y**(-5)\/y)\/y*y)\/(y\/((y\/(y**(-2\/17)*y*y))\/y)))\/(y\/y**0*y*y*y**3)) assuming y is positive.\nAnswer: y**(45259\/3570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 12*i - 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x + 5*x - 4*x - 398*x - 768*x + 381*x + (x - x - 2*x)*(-3 - 2 + 3) - 2*x - 2*x + x + 2*x - 4*x + 0*x to the form i + u*x and give u.\nAnswer: -784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -53 divided by 378540\nAnswer: -53\/378540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -3*p - 9, 23*p + 661 - 612 = -3*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 15*l**2 - 18*l - 25. Let g be m(-14). Let v = g - 12. Solve -4*j - 6*b + 31 = -b, -5*b + v = j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1958299 and -1958298 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 5*z + 13 = 0, 0 = -5*r - 40*z + 39*z + 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + ((-8)\/28 - 3))*-91. What is the highest common factor of 26 and n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, y: 4, m: 3, k: 1, g: 2}. What is prob of sequence gkgm?\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 5:39 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13384 = -10*j - 4*j. What are the prime factors of j?\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - x - 2 = -5*m, x = -2. Solve m*q = -2*q - 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f. Let p(n) be the second derivative of 39*n**4\/4 - 33*n - 1. Calculate t(p(z)).\nAnswer: -351*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + y + 5*y)*(5*y**2 - 5*y**2 - 2*y**2) - 323*y**3 + 81*y**3 - 282*y**3.\nAnswer: -530*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1835613 is divided by 863?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 104879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 10:38 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -130171686829 and 0.1.\nAnswer: -130171686828.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 403777495 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -74074 - -26962969\/364. What is the common denominator of 22\/221 and j?\nAnswer: 6188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 16 = 10*d. What is the highest common divisor of 20 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111 divided by -52684\nAnswer: 111\/52684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20 - 1501?\nAnswer: -1451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 17*g**2 - 6*g + 2. Calculate the remainder when 114 is divided by b(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 3:43 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*n**3 - 22*n**3 + 1 - 2*n**3.\nAnswer: -61*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8390 and 9890971?\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2*g - 106, g - 5 + 1 = 0. What is the smallest common multiple of 12 and z?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003278573 to seven decimal places.\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, a: 2, j: 2, s: 2, y: 4, c: 2}. What is prob of sequence sas?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/12428 and -91\/7164.\nAnswer: 22258548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 11:20 AM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - d = s - 13, -7 = -3*s + d. Suppose a - 2362 = 2*g, -s*a + 66 - 4778 = 4*g. What is g rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 m when four letters picked without replacement from {m: 9, p: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13 - -2?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3161 a factor of 104120179?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 549? (a) 2\/3 (b) -192 (c) -0.12 (d) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 613 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 + -71539?\nAnswer: -71439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 2:01 PM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(1\/12))\/(n*n**(2\/5)\/n))\/(n\/(n\/(n*n**4*n*n*n))*n*n**(-2\/91)))**(-1\/89) assuming n is positive.\nAnswer: n**(45289\/485940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 109 - 24)*(-4 + 4 - 4*p) + (2 + 5 - 6)*(p + 3 - 3) in the form x + w*p and give w.\nAnswer: -303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 2*c + 6. Suppose 9*l - 11 = 16. Is l greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 * 20.5443.\nAnswer: 287.6202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dqd when three letters picked without replacement from {d: 2, q: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 205.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 - 2*y**3 + 0.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a hour in seconds?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -3*o + 6*o. What is the tens digit of o\/2*(-8 + -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/10 in 1\/9, 16, 2, -0.18, -1\/4?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 15*y + 18. Let x be o(16). Let t(a) = 7*a - 3. Let i be t(4). Suppose -x*v - 4 = -4*g, -4*g + i = 4*v - 27. Does 4 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19085 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2 - 3*g - 3. Let y be c(-7). Suppose 0 = 10*z - 8*z + y. Let q = z + 95. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-29\/5))\/n**(-13\/6))\/(n\/n**(-9\/5)*n\/(n**(1\/29)*n)) assuming n is positive.\nAnswer: n**(-4697\/870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2120 + 1554. Let l = j + -6710. What is the units digit of l\/(-55) - 1\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -32*t**2 + 46*t. Let a(f) = -64*f**2 + 91*f. Let i(b) = -3*a(b) + 5*c(b). What is the second derivative of i(n) wrt n?\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of y**4 + 5*y**3 - 330*y**2 + 2089*y - 1.\nAnswer: 12*y**2 + 30*y - 660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7096147*-35.\nAnswer: 248365145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.03 - -2.16. Let x = -0.869939 - y. What is x rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/91? (a) -5\/4 (b) 0.27 (c) -0.3 (d) -2\/7 (e) -1\/28\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31823969 to the power of 1\/3, to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -151\/2 + 74. Let f be 4\/18 - (-96)\/(-108). Put -0.3, f, w in decreasing order.\nAnswer: -0.3, f, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/11)*l**(-15) assuming l is positive.\nAnswer: l**(-167\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 249378 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-4))\/1*((-1792)\/(-33908))\/16.\nAnswer: 2\/173","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1716 + -1226732?\nAnswer: -1230650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -735*h**3 + 51*h**2 - 2*h. Let v(x) = 4*x**2 + x. Let p(i) = m(i) + 2*v(i). Find the third derivative of p(f) wrt f.\nAnswer: -4410","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 792*f + 5157. Calculate the remainder when 815 is divided by b(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4.6 in -3\/11, -15, 5, 2\/23, 51?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -872 + w**3 + 872.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39*m*y**3 - 7*m*y + 75*m + 197*y**4 + 10*y**3 + 7*y + 4 wrt y.\nAnswer: -234*m*y + 2364*y**2 + 60*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 g when two letters picked without replacement from tttxxtjxttrttrgx.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-40)\/210)\/(12\/(-434)). Suppose -16\/9*c + 8\/9 - h*c**2 + 70\/9*c**3 = 0. What is c?\nAnswer: -2\/5, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 33.906 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 6 - 4 = 0. Let j be (-5 - 11\/c)*(-10)\/(-6). Calculate the highest common divisor of j and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8489?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 0 + 18 = -4*v, 5*f - 25 = 5*v for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 89499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvhcvgvrhhv. What is prob of picking 1 g, 1 c, 1 r, and 1 v?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 3*c + 48 = 0, -4 = 11602*s - 11600*s + 5*c for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + -14.9. Let f = -0.64 - -0.74. Let v = d - f. Sort -2\/25, 4, v in descending order.\nAnswer: 4, v, -2\/25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 380 = 9785*r - 9747*r for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6207 + 4412. Let w = k + 2847. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -283\/2*x + 1\/2*x**2 + 281.\nAnswer: (x - 281)*(x - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-104)\/(-32))\/(1\/4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 9*i**2 - 10 + 0.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 210*s**4 - 353*s**4 + 180*s**4 + (-6*s**2 + s**2 + 3*s**2)*(2*s**2 + 3*s**2 + 0*s**2).\nAnswer: 27*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2898*s**2 - s - 1. Suppose 5*w = -0 - 5. Let i be y(w). Suppose -4*k + 650 = -i. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -60 + 66. Suppose 4 + 2 = g. Let z(a) = y - g + a. Let o(r) = -2*r**2. Determine z(o(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**4 + 344950*a**3 + 14872260396*a**2 - 133881735832*a - 148753651280 = 0.\nAnswer: -86242, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.8 (b) 2 (c) 4 (d) -0.5 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 + -5 - (-8)\/(-10). Let m be ((-6)\/(-20))\/3*2. Solve 1\/5*g + m*g**2 - y*g**3 - 1\/5 = 0 for g.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-27)\/(f*f\/f**(-2\/7)))\/((f\/(f\/(f**(-4\/9)\/f*f)*f*f))\/(f*f*f\/f**(-3)*f*f*f)) assuming f is positive.\nAnswer: f**(-1124\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 14 (b) -3 (c) 0 (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 142 + -141.673. Let a = i + 0.073. What is the closest to -1\/2 in a, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176043 at least 176045?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -6997*n**3 + 2*n**2 + 11*n + 8. Let c be m(-7). What is c rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of 8*h**3\/3 + 77*h**2\/2 - 30*h - 10771. Factor o(s).\nAnswer: (s + 10)*(8*s - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b - 259 + 1500 = -77*b - 59 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - -2. Let h be -4*(d\/5)\/(15\/(-75)). Calculate the greatest common factor of 24 and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*x - 127 + 81 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fmncnccnmfcfcnmnccn. Give prob of picking 1 f and 1 m.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 106681423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/2)\/(9\/108*6). Let d = -0.1 + 1.1. Which is the smallest value? (a) d (b) p (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -26. Let y = p - -18.99999. Round y to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hcl when three letters picked without replacement from hlcclhllcl.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 181 - 3044a8?\nAnswer: -304327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*o**4 + 1374137*o**3 + 2*o**2 + 57022237 wrt o.\nAnswer: 48*o + 8244822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 126*c**2*u**3 + 16*c**2*u + c**2 - c*u**2 - u**4 wrt u.\nAnswer: 756*c**2 - 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a century in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -8) + (-10 - -1 - (-90 + 87)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*h - 8146 = -611 for h.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) 2 (b) 2\/3 (c) 0.114 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**2 - 8*h + 9. Let f(d) = -d**2 - 4*d + 4. Let g(l) = 5*f(l) - 3*x(l). Let s be g(-6). Solve 2*v = s*j, j - 2*v = -5*v for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46 + (-104 - -67 - -26) + (2 - (-10 + -1))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3957 is divided by 110?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 9) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 2:16 AM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 80\/5 + (1 - 3). Suppose -4 = 3*f + 4*h - z, -h + 22 = 4*f. Suppose 0 = r + 2*r + f. Is -1 greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b**2 + 6*b + 3. Let q = -56 + 51. Let x be a(q). Let n be 11\/55 - x\/(-10). Solve -n*w + 15 = -0*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1536, -1530, -1528, -1536, -1560?\nAnswer: -1606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8772*n - 1675*n = -282069 for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -316, -372, -430, -490, -552?\nAnswer: -616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*u**2 - 13*u**2 - u**2 as s*u**2 + t + l*u and give s.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 285 + -271. Suppose 4*m + 6 - t = 0. Solve 0 = -2*f - 4 + m for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.699107 nanograms in micrograms?\nAnswer: 0.006699107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 - (-3 + 12\/4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 729 = 5*k, 0 = -2*x + 2*k + 606 + 864. List the prime factors of x.\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -248976*l**3 - 48 - 52 + 100.\nAnswer: -248976*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, b: 12}. Give prob of picking 4 b.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 124*d**2 + 3975*d - 8. Let u(q) = -9*q**3 - 991*q**2 + 31803*q - 68. Let c(i) = -6*u(i) + 51*x(i). Suppose c(y) = 0. Calculate y.\nAnswer: 0, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c + 8. Let z be i(6). Let p be (-8)\/(-1 - (z - 2)). Solve -3*j + 3 = 0, 2*s - 4*j = -2*s - p for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3091810, -3091699, -3091514, -3091255, -3090922, -3090515?\n\"Answer: 37*t**2 - 3091847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(2\/(-56)*42\/4)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(192) + 1.\nAnswer: -4 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16298.8*-54.4.\nAnswer: -886654.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 3) to base 6\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -52 + 63. Let g(a) = -5*a**2 - 3*a - 24 + h*a**2 + a - 5*a**2. Let m be g(-4). Solve -5*r - 19 - 1 = m for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.519892459 - 0.5199. What is v rounded to seven dps?\nAnswer: -0.0000075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -141, -136, -149, -192, -277, -416, -621, -904?\n\"Answer: -2*r**3 + 3*r**2 + 10*r - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5368 + -5367.9. Which is the biggest value? (a) -26.6 (b) 13 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m - m - m + (-2*m + 5*m - m)*(0 - 1 + 0).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -18*r**2 - 2*r + 18. Let f(y) = 2*y**2 + y + 1. Let s(j) = -6*f(j) - p(j). Is s(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 9:37 PM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -6*p + 3. What is j(-4)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-8) + ((-4)\/22 - 62\/(-341)). What is the closest to 492 in 1, -0.4, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28935, -57883, -86833, -115785, -144739?\nAnswer: -173695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/5)\/(2\/(-5)). Let x be (6 - -1) + (u - 0). Suppose -2*a - 1 + x = 0. Solve a = -n - n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6989396 or 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42125612 - 20873918. Let c = n + -21251807.00131. Let u = 113 + c. What is u rounded to four decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r + 3*j + 83000000 = 5*r, 5*r - 3*j = -207500000. What is r rounded to the nearest 1000000?\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*f**2*i**2 + 262*f**2*i + f - 23*i**2 + 3*i wrt i.\nAnswer: 56*f**2 - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 148*w**3 - 14*w**2 - 5*w - 97. Is h(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 0. Let x(j) = -j**3 + 6*j**2 - 2*j - 9. Let h be x(n). Solve t + h = -2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -110110140?\nAnswer: -110110142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 74, 286, 638, 1130, 1762?\n\"Answer: 70*c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*l + 20644 = 1009*l for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/12 + (55\/6 - -3). Let o(s) = -3*s + 29. Give o(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k. Let z(g) = 8354981*g. Calculate q(z(r)).\nAnswer: -8354981*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2333 + 0*z - 2336 + 3*z + 6*z**2 = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, k: 3, q: 1}. What is prob of sequence kkk?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 28 = -5*n, -537*k = -n - 539*k + 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u + 5*u + 2*u)*(u**3 - 2*u + 2*u) + 1583*u**4 - 786*u**4 - 2*u**3 - 795*u**4 - 610*u**2.\nAnswer: 4*u**4 - 2*u**3 - 610*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 179, 814, 2179, 4538, 8155, 13294, 20219?\n\"Answer: 44*x**3 + 101*x**2 + 24*x + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3\/2 - 33*x**2\/2 - 27*x + 108.\nAnswer: 3*(x - 12)*(x - 2)*(x + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, l: 1, z: 1, a: 2}. What is prob of picking 1 c and 1 a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2 = -a. Does 13 divide a + 10 + (-1 - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -1828*q - 52. Let z = -63 - -54. Let o be t(z). What is o rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(12)\/(sqrt(6)*1) - (2 + sqrt(8)) - (-2 + sqrt(72) + sqrt(10)\/(sqrt(30)\/sqrt(6))))**2.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-11154)\/(-1596) - (4 - -3))\/((-3)\/8). Is -1 at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -1511*a + 1438481. What is l(952)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2*m + 10 = 0, 2*j - 3*m = -0 + 13. Suppose 3*x - j*f + f = 31, -4*f - 44 = -4*x. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*c**3 + 0*c**3 + c**3)*(-2 + 2 + 2) - 3*c**3 + 3*c**3 + 2*c**3)*(-5 + 5 - 1)*(0*c + c + 9*c).\nAnswer: 20*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -121*h**3 + 329?\nAnswer: -363*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 1 + 4 = 0. Suppose 70 = 3*z - 5*z. Let h be (z\/4)\/(-5) + -2. Which is the closest to 0.1? (a) 0.2 (b) l (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.1, -1\/2, -1.4, -136\/889, 2?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -1.7. Let d = -2.3 - m. Let z = 6 + -49\/8. Which is the biggest value? (a) -1 (b) z (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 5:02 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 88510489\/530 - 167001. Calculate the common denominator of -71\/12 and n.\nAnswer: 3180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f. Let s(q) be the second derivative of q**5\/10 + 2*q**2 + q. Let l(a) be the first derivative of s(a). Calculate x(l(j)).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59, 76, 113, 176, 271, 404, 581?\nAnswer: 808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -8298.\nAnswer: -1659.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2384\/49, -1 in descending order.\nAnswer: -1, -5, -2384\/49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39345\/4 - -9860. Let s = 2919936\/235 - 3953776061\/318660. Let a = s + -1\/339. Find the common denominator of a and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21.127040092 - -21.127. Round w to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 154474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 28 = -4*g - 2*o, 2*g - 3*o = 24. Let n = 10 - g. Solve 0 = 3*i + n*k - 3, -2*i + 7*k + 2 = 2*k for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 157648, 157646, 157644?\nAnswer: 157642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from faaaafsssaaaf.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from {j: 2, m: 8}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2\/7, -4, 1\/4, 1\/5 in decreasing order.\nAnswer: 4, 1\/4, 1\/5, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -29, 20, -5, -4, -21, -3.\nAnswer: -29, -21, -5, -4, -3, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m + 0 + 5\/2*m**2 + 0*m**3 + 19\/12*m**4. What is the derivative of w(l) wrt l?\nAnswer: 38*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express f + f**2 + 2*f + 2*f**4 - 6 + 2*f**2 - 3*f**4 as l*f + j*f**2 + h*f**3 + a*f**4 + u and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56375?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -25*w. Let u(a) = 585309*a**2. Calculate u(t(h)).\nAnswer: 365818125*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4716 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43 - -45. Suppose 30 = m*b + 4*b. Solve -2 - 12 = b*z - 4*t, 2*z + 5 = t for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31374.76 times 324?\nAnswer: -10165422.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 196 + -909?\nAnswer: -713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 108\/(-42)*(-32)\/24. Which is the closest to 0.2? (a) 0.2 (b) h (c) 4\/7 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(24)\/(2*sqrt(8)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 31848138 divided by -2274867\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -5*p - 47. Let v(a) = 4*a + 47. Let g(t) = 5*u(t) + 6*v(t). What is the smallest common multiple of 3 and g(-6)?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-84))\/(32\/((-5632)\/(-132)))\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 171*m**2. Let w(g) = 1644*g**2. Determine w(d(q)).\nAnswer: 48072204*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -796*-3.22\nAnswer: 2563.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -60+-2259001.35401\nAnswer: -2259061.35401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3*sqrt(143)*-5)\/(-1*sqrt(99) - sqrt(11)) + -5.\nAnswer: -15*sqrt(13)\/2 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-49)\/(-112)*84\/1029)\/((-2)\/8).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*d**3 - 11*d - 98*d**2 - 2*d**4 + 36*d**3 + 10*d in the form o*d + a*d**2 + p*d**4 + h + l*d**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 7) to base 13\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/11 (b) -3 (c) 0.05 (d) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 389*z**4 - 35*z**3 - 76*z + 1. Let w(m) = 584*m**4 - 49*m**3 - 115*m + 1. Let y(l) = -7*d(l) + 5*w(l). What is the second derivative of y(g) wrt g?\nAnswer: 2364*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(72*t**5 - 46*t**5 + 91*t**5).\nAnswer: -234*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**3 + p**2 + p - 2. Let o be r(-4). Suppose 72*q - 71*q = 4. Suppose 82 = q*c - o. List the prime factors of c.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*u**3*x**3 - 14*u**3*x**2 + u**2*x**3 - 3*u**2*x + 88*x**3 - 2*x wrt u?\nAnswer: 174*x**3 - 84*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/8 of a second?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 55\/1153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 124\/((-4464)\/3870)*4\/5.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -726.5556 to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 315\/36*18\/(-90)*(-2)\/7.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 761 + -754. Solve 10 = -p*l + 38 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence izin when four letters picked without replacement from {i: 4, z: 3, n: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 192 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 49*a**2 + 57 - 29.\nAnswer: 49*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llo when three letters picked without replacement from lnlolcllcnncl.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4238 and 187124?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3}. What is prob of sequence ccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 22 = 11*t. Suppose -t*i + 201 - 191 = 0. Solve -3*y + 12 = 2*l, i*l + 0*y = 2*y - 8 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 (base 14) in base 7?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 579 and 213.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + a - 5. Let q(h) = 5498*h**3 + h**2 - 2537*h - 40. Let b(s) = 8*p(s) - q(s). What is the second derivative of b(u) wrt u?\nAnswer: -32940*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/(3*(-2)\/60)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 168233?\nAnswer: 168236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -4*r**2 - 202*r - 86. Is 14 a factor of o(-44)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -21, -16, -9, 0, 11, 24?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4\/4 - 29*j**3\/4 + 15*j**2\/2.\nAnswer: -j**2*(j - 1)*(j + 30)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -2. Let q be 3 + w + (-1 - -2). Let p(d) = 10*d**2 - 152*d + 286. Let k be p(13). Solve 2*b + q + 8 = k for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 6859901.\nAnswer: 54879208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -41\/9 less than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from adaadd. What is prob of picking 2 d?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1154, 1155, 1156?\nAnswer: 1157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31914535.\nAnswer: 5, 37, 167, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80) + 1 + sqrt(80) - (sqrt(50) + sqrt(450)\/sqrt(9))\/sqrt(10).\nAnswer: 1 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 312 and 4995024?\nAnswer: 64935312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r**3 + 2*r**2 + 3*r + 4. Let p be f(4). What is the greatest common factor of p and 228?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.3, 1.13882, 0, -1, -1\/2 in decreasing order.\nAnswer: 1.13882, 0.3, 0, -1\/2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 938 and 66866?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 7*q - 131260 = 6*q, -5*q = -2*r + 87501. Suppose -20*h + 274947 + r = 0. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*c = 33*c - 538 - 566 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 110.1 + -103.1. What is the nearest to -0.1 in 2, -2\/15, 0.2, z?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 145551966 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/(-65)*100\/80.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b - 5. Let z(l) = 1. Suppose -20 = -2*w - 2*w. Let n = 5 + w. Let p = 4 - 2. What is n*z(s) + p*c(s)?\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b + 293*b**2 + 3*b - 48*b**2.\nAnswer: 245*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -302.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 16) to base 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4299295, 4299294, 4299293, 4299292?\nAnswer: 4299291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16413 - -17414?\nAnswer: 36027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20386 = -361*t + 6411 - 13822 for t.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 10*b**2 + 13*b - 20. Let j be n(11). Solve -3*w - j = -4*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 25. Let f be t(5). Let r = 134014 - -323393. Suppose f = -y - r - 1342593. What is y rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001110110 - -1011000001100000?\nAnswer: 1011100011010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 683198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xzxv when four letters picked without replacement from zvzxvx?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 758 - 325. Calculate the remainder when o is divided by 87.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3382.5 to the nearest ten.\nAnswer: -3380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20738 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -225482, -225488, -225498, -225512, -225530?\n\"Answer: -2*n**2 - 225480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*l - 3*l**4 + 3*l + 10 + 4*l**4 in the form z + y*l**3 + q*l**4 + p*l + i*l**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (131 - 313 + 144 + q)*(4*q**4 - q**4 + 2*q**4).\nAnswer: 5*q**5 - 190*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32*r**2 - 1002 + 102*r + 292 - 92*r + 27*r**2 with respect to r.\nAnswer: -10*r + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/36 of a hour in seconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 320a5a (base 14) to base 3.\nAnswer: 10011222110102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2646 = -109*g - 121*g + 41*g. Let u(z) = -10*z + 140. Calculate u(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 422, 549, 852, 1415, 2322, 3657, 5504?\n\"Answer: 14*f**3 + 4*f**2 + 17*f + 387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 3:44 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a - 35*a**2 - 2*a - 35 + 55*a**2.\nAnswer: 20*a**2 + 4*a - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20\/(-12)*12\/(-10). Determine p so that -5\/3*p + 2\/3 - 1\/3*p**3 + 4\/3*p**b = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28841 - 25101. Is s a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10646 + 10651. Which is the nearest to 7.6? (a) -3 (b) r (c) 0.4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 20*r + 362. Does 34 divide k(38)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9928339 - 16429339. Round t to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6183, -25424, -57509, -102438, -160211, -230828, -314289?\nAnswer: -410594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2329? (a) -5 (b) 3\/7 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7845 (base 9) to base 13.\nAnswer: -2837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7 + (-4)\/(-2))\/(-1). Let o = 388 + -384. Calculate the lowest common multiple of 9 and o + 6 + -6 + 2*c.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + p + 111 = 36, -p = -y + 25. Calculate the remainder when (1 - 4) + (226 - -1) is divided by y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.32 - -8.3199191. Round n to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*l + 181*l + 558 = 0 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (343\/266 - (-44)\/209)*(-1)\/(-3)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**2*s**3 + 4*d**2*s**2 + d**2 - 21*d*s + 15*s**5 + 6*s wrt s.\nAnswer: 12*d**2*s + 8*d**2 + 300*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(-5 + 5 + 4*n)*(-2*n**2 - 4*n**2 + 4*n**2).\nAnswer: -16*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkfkkf. Give prob of sequence kf.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -30, -2\/19, -2\/27, -2\/3, 413?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 - -41. Suppose k*d - 168 = -2*d. Is d greater than or equal to 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5942 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000487062674 to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 401\/160 + -1\/160. Solve -8*y - j*y**2 - 2 + 7\/2*y**3 = 0.\nAnswer: -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1802 - -14463\/8. What is the common denominator of (-3)\/(-6) + (-136)\/(-18) and m?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 1136321 = 11443679. Round a to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xjm when three letters picked without replacement from xmjubxb.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 35.47, -0.6, 28, -2, 0.1, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66\/33)\/((-69)\/(-207))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 533 = -9*a. Let z be (0 - (-2)\/(-6)) + a\/3. Which is bigger: -15 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2576 and 241408.\nAnswer: 1689856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 465.1976 grams to micrograms.\nAnswer: 465197600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177287.\nAnswer: 11, 71, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 12*k - 15. Let c be (-1)\/6 + (6 - 2015\/(-30)). Suppose 273 = -20*x + c. Determine w(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s**4 - 16*s**4 + 5*s**4 + (2*s**4 + 2*s**4 - 2*s**4)*(4 - 1 - 2).\nAnswer: -14*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 14 - 10 = -3*q, 36 = 4*l + 5*q. Let t be 1\/3 + l\/6. Let x = -1084 - -1089. Sort -5, -4, x, t in decreasing order.\nAnswer: x, t, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 2*f**2 - 10. Give b(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 31029077 to the power of 1\/4, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2 - 247*j + 637. Calculate the remainder when y(124) is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.4565 + 63.7245. Let x = 0.032 + l. Round x to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15334 + -15329. Solve -5*f - 16 = -0*o + o, 0 = d*o - 5*f - 10 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1530\/11 or 138?\nAnswer: 1530\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - -39. What are the prime factors of j?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0059499 rounded to 4 decimal places?\nAnswer: 0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32824 is divided by 58?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -9*d**2 - 3*d + 4. Let n(q) = q**2. Determine v(n(a)).\nAnswer: -9*a**4 - 3*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1876 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -749*p + 750*p = 6. Solve -p*w + 8*w + 2*z = -10, -4*w = -z + 15 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10 (b) 0 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {e: 3, l: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 180, 178, 176, 174?\n\"Answer: -2*f + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19\/113 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -35, -58, -83, -110, -139?\nAnswer: -170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/15 and (-1)\/(-7) - (-2983)\/1463.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 64.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 407301398+-165.44\nAnswer: 407301232.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 360099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6918 != 4694?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 134 and 1404.\nAnswer: 94068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 17*q**2 + 11*q + 13. What is s(-16)?\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-8) + 15\/4. Let p(m) be the third derivative of -m**4\/6 + m**3\/3 + 6*m**2. What is p(i)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -19*p - 29 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(60)\/(sqrt(3)*3 - sqrt(3))*-4)\/(3*sqrt(1440)*-6*3).\nAnswer: -sqrt(2)\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1272 + 1271. Which is the nearest to 0.13? (a) 0.12 (b) f (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50 - 48. Let b = 0.197 - 5.197. Let v = z + b. Do -3\/10 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -652162 (base 11) to base 13\nAnswer: -2a65a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z + 1 = 25 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 6:04 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 931032 by -4.\nAnswer: -232758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 - 0.15. Let t = -3.15 + m. Let q = -3 - t. Sort 0, -1, q in ascending order.\nAnswer: -1, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k - 1. Let z = 5 - 5. Suppose 5*o + 25 = t + 5, z = -4*t + 2*o + 26. Suppose -t*r + 3*r + 6 = 0. What is p(r)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 22239, -3, 13 in descending order.\nAnswer: 22239, 13, 5, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 309005 and 320.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 7*z**2 + 5*z + 1. Let p(s) = -4*s**2 - 3*s - 1. Calculate 3*h(x) + 5*p(x).\nAnswer: x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + (-6*sqrt(99)*5 - sqrt(99)) - sqrt(99))\/sqrt(9))**2 - ((sqrt(66)\/(sqrt(6) - (sqrt(66)\/sqrt(11) - sqrt(6))))**2 + 1).\nAnswer: 10559","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than 9427831?\nAnswer: 9427831.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 239 (b) 2\/13 (c) -0.1 (d) 1 (e) 2 (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79598459.\nAnswer: 79598459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 4, -45, 2 in decreasing order.\nAnswer: 5, 4, 2, -2, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 7\/77*(-77)\/(-42)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q + q + q**3)*(-27 + 25 + 36)*(-1 - 1 + 3)*(1 + 17 + 14)*(1 - 2*q - 2 + 4*q) to x*q**2 + z + v*q + k*q**3 + c*q**4 and give k.\nAnswer: -1088","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128).\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = 3*l - 18. Let z be (3\/4 - l\/52) + -3. Let x = 0.27 - 2.27. What is the second biggest value in x, -4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*a - 35, 3*a - 5*y + 5 = 8*a. Let z be (-360)\/(-702) + 3*((-38)\/9 - -4). Sort 0.4, a, z in increasing order.\nAnswer: z, 0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*a - 19 = -2*z - 46*a, -5*z + 10 = -5*a. What is the second biggest value in -1.1, 68, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 7*w**2 + 8*w - 6. Is o(7) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 5*x. Let t(p) = -13*p + 12. Give l(t(w)).\nAnswer: -65*w + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002738147 to four dps.\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/64 in -0.3, 4, -1.76, 2, 4\/17?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2433\/7 + -347. Let r = -4784 + 4781. Sort n, r, 34 in decreasing order.\nAnswer: 34, n, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 0*i + 7*i**2 + 4*i + i + 2. Let r be s(-3). Suppose -5*q = -10*q + r. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48445411 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-62 - -1) + (-24 - (-27 - (8 - 28))).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(135\/30))\/(6*(-18)\/4536)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 938044428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 10*i**2 - 16*i + 1. Let u be k(-11). Suppose -3*l + u = l. Suppose -32 = -3*w - 8. Calculate the remainder when l is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*h - 3*h - 210. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**(-5)\/n)\/n**(-6))**(2\/147))**(-5))**(2\/103) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -412*m = -265*m + 1932*m + 164*m + 6729 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 581 and 332?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -9.9. Let t be (5\/6)\/(1\/2). Which is the closest to g? (a) -1\/4 (b) -0.5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 0.3, 48, -2, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3bb + 28b?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**4)**(4\/11))**(-22\/5))**(2\/41) assuming s is positive.\nAnswer: s**(-64\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of 376*s**3 + 1350. Let g(l) = -2*l**2. Determine u(g(p)).\nAnswer: 4512*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/16*8\/(-12)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eleven quarters of a microgram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in -352\/9, 3\/7, -1\/5, 52?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 29 - 533*q**3 - 49.\nAnswer: -533*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 307 - 292. Solve -f = 2*b - x, 119*b + 3 = 122*b - 5*f for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54444 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54247426 to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 655 = 325. What is the second derivative of -245*k**2 - 10*k**5 - 9*k + o*k**2 - 2 - 2*k**3 wrt k?\nAnswer: -200*k**3 - 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (5 + 6 + -4)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, 3.16, -1\/5, -16.91, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*k**3 - 20*k**3 - 3*k**3.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32550.\nAnswer: 2, 3, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 minus -548081.53633?\nAnswer: 548074.53633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -39*x + 23. Let b(s) = -231*s + 112. What is -2*b(z) + 11*n(z)?\nAnswer: 33*z + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*a*d**2*m**2 - 29*a*d*m**2 - 475*d**2 - 2*m**2 wrt a?\nAnswer: 4*d**2*m**2 - 29*d*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v - 16. Let r be d(-8). Let i(k) = k**2 - 7*k - 3. Let t be i(r). Let g(a) = -6*a + t*a - 4*a - 5*a. Let j(w) = -3*w**2. Give g(j(c)).\nAnswer: 30*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*3\/(-36))\/((-920)\/6080*-19).\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 108 - 782*u**2 - 155 + 47 as d*u**2 + b*u + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1405670.\nAnswer: 2, 5, 7, 43, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 6 - 13*o + o - 3*o - o + (4 + 0 - 2)*(3*o - 3*o - 2*o) + (-16 - o - o + 20)*(-5 + 3 + 0).\nAnswer: -16*o - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 4*x + 5. Let k = 9 + -4. Suppose 29*t = 31*t - 14. What is the remainder when s(k) is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*q + 113 + 242 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1205.1 * 103.\nAnswer: -124125.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -72 + 4*a - 74 - 3*a + 36*a**2 + 216 - 72 as w + d*a + v*a**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 225 - 221. Sort q, -2, -0.07 in decreasing order.\nAnswer: q, -0.07, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57 and 540?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -15*s - 19. Let j = 58 - 52. Let g(b) = -5*b - 6. Let i(l) = j*r(l) - 17*g(l). What is the first derivative of i(v) wrt v?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(1\/7)*m\/(((m**(-2\/5)*m)\/m*m)\/m))**(-7\/2)\/((m\/m**(-2\/5))**(-3\/16))**(8\/7) assuming m is positive.\nAnswer: m**(-43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -193722 divided by -778?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74627 = 14*v + 13*v - 94987. Round v to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4268.614 centuries in decades?\nAnswer: 42686.14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**2 - 4*t**5 + 2*t**2 + 210*t**3 - 210*t**3 + 15*t**5 + (t - 3*t + t)*(-2*t**4 + t**4 + 4*t**4).\nAnswer: 8*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.18 + -0.08. Put -11, 0.2, x in ascending order.\nAnswer: -11, x, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 694475 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**2. Suppose -21 = -3*z - 0*z. Let b(y) = -y + 9. Let t be b(z). Let g(f) = -2*f + 2 - t. What is g(s(m))?\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(90)\/sqrt(2)*-4.\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, -66, -78, -94, -114, -138, -166?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of 0 + 1\/30*g**6 + 0*g + 0*g**5 + 1\/8*g**4 - 2*g**2 + 0*g**3. Find the second derivative of q(w) wrt w.\nAnswer: 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 6. Let w = -2 - f. Is 2\/13 at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 3*h**2 + 4*h - 1. Calculate f(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/33 (b) 111 (c) -2\/11 (d) 0 (e) 0.8 (f) 1 (g) -13\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 w when three letters picked without replacement from {w: 4, p: 3, o: 5}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7797 and 12204?\nAnswer: 280692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of o**5\/20 + o**4\/4 + o**3\/2 + o**2 + o. Let m be j(-2). Let a = -4\/9 + -2\/9. Which is bigger: m or a?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18169, -18532, -18883, -19216, -19525, -19804, -20047, -20248?\nAnswer: -20401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*f = -53 - 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24840 and 1818.\nAnswer: 2508840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + sqrt(171))**2.\nAnswer: 36*sqrt(19) + 1032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -36.95. Let u = 22.949997549 - s. Round u to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7.6 and 342.\nAnswer: 334.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {v: 4, w: 5, f: 1}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15.3 - -16.19. Let t = m + 0.11. Let g = 10 + -7. Which is the nearest to t? (a) g (b) 1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -21, -56, -103, -156, -209, -256?\n\"Answer: b**3 - 12*b**2 - 6*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/211831 and 9\/22298.\nAnswer: 423662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3572*u**2 - 1964*u**2 + 1946*u**2.\nAnswer: -3590*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t - 44. Let p be s(-15). Let q(d) = d**3 + 2*d**2 - 5*d - 4. Let a be q(-3). Put p, a, -4 in descending order.\nAnswer: a, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -89? (a) 0.3 (b) -777 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = u - 9, w - 11 = -3*u - 3*w. Solve -u*i = -3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 109873?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 5*f**2 - 3*f. What is b(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.2 in -0.25, 0.2, 0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, 47\/7, 1\/6, 0?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 285b0 (base 13) to base 15.\nAnswer: 1765b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50310\/17160*(-198)\/54.\nAnswer: -43\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*b + 43*b + 5 = 0, k - b = -5 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 14*k**2 + 50*k - 26. List the prime factors of h(21).\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7824389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3083\/5*(-20)\/(-4)?\nAnswer: 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 1\/2, -1.3, 0, -638\/13, -0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 990 by -99.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(2\/45))*z\/(z*z\/z**(2\/11)*z))**(-8) assuming z is positive.\nAnswer: z**(7376\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 4 - -6 - (7 - 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36510747 by -357.\nAnswer: 102271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5 - -0.8. Let s = 0.5 - f. Let z be 12\/(4\/(-1)) - -7*1. Which is the third smallest value? (a) 2\/3 (b) s (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 50433\/4 + -12607. What is the closest to 58 in -0.4, 0.3, 2, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l**2 - 20*l + 3 + 19*l + 5*l**2 to m + x*l**2 + y*l and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 79704189 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -44132618, -44132624, -44132630?\n\"Answer: -6*s - 44132612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p - 113*p**2 - 7*p + 115*p**2 + (47*p - 70*p + 56*p)*(2*p - 1 + 1).\nAnswer: 68*p**2 - 7*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 135 by -458.\nAnswer: -135\/458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4479*m + 163 - 163.\nAnswer: 4479*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 161112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*j - 2*j - 4*j)*(-11367*j + 4204*j + 4935*j + 1) as t + m*j + v*j**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*c - 4, 3*c - 207 = -4*a. Suppose 4*d = -m + a, m + m = 4*d - 42. Let o(t) = 359*t - 326. What is the remainder when o(1) is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 182 - -17?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16708614 is divided by 73?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**5\/5 + 20*z**4 + 1496*z**3\/5 + 5744*z**2\/5 - 2816*z\/5 - 30976\/5 = 0. Calculate z.\nAnswer: -22, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1042585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -12. Calculate the smallest common multiple of d and (-18)\/4*(-32)\/48.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5*sqrt(18).\nAnswer: -15*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8477128ng in milligrams?\nAnswer: 0.0000008477128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(0 - -3) + (-539)\/(-99). Which is smaller: d or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - z - 1. Let w(v) = v**3 + 2*v**2 + 56. Let p(s) = -n(s) + w(s). Does 15 divide p(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 456478254 is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**3 + 59*x**2 + 44*x - 348. Calculate c(30).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 6*o - 3. Let b be t(1). Suppose b*r = -3*x - 51300015, -x + 3224465 = -5*r + 20324440. What is x rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 3*r = -13*r - 17 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 17*l - 230. Calculate the remainder when 823 is divided by w(12).\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(1008) + 1*sqrt(1008))**2.\nAnswer: 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-6 - (8 + 0)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1398759\/8 + 174584. Let a = i + 259. Which is bigger: -2\/7 or a?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 17 = 5*u + 18, 12*u = -3*d + 4 - 22 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**2 - 5*m**2 + 8 + 4)*(-3 + 3 + m**2).\nAnswer: -m**4 + 12*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 26*v - 22*v - 44 = 0, 3973*b = 3981*b - 2*v - 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -2\/71 (b) 2\/17 (c) -4 (d) 12\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*s**2 - 1 - 31*s + 2 + 3 - 477*s + 16*s**2.\nAnswer: -2*s**2 - 508*s + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 12330234?\nAnswer: -12330241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -8904\/65167?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**4 - 4*s**3 + 4*s**3 + (-5*s**3 + 13*s**3 + 11*s**3)*(0*s - 3*s - 14*s) + (-1 - s + 1)*(2*s**2 - 2*s**3 - 2*s**2).\nAnswer: -322*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.319 - -0.081. Which is the closest to 0? (a) -1 (b) 16\/5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 6:31 AM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -41*l**2. Let i(r) = 12*r - 11. Let k be 2 + 2*(4 - -6). Let c(n) = n - 1. Let v(o) = k*c(o) - 2*i(o). Give v(m(d)).\nAnswer: 82*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -270?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (151\/(-604))\/((-2)\/25 - (-1376)\/7200).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -10.81 times 0.2\nAnswer: -2.162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*l - 0 + 2, -5*h + 25 = 5*l. Let y be (-16)\/h*((-90)\/12)\/5. Determine p so that -3\/7*p**3 + 0*p + 0 - 3\/7*p**y + 0*p**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4 - -3.6. Let x = 4.3 - d. What is the closest to 1\/3 in -2, 3\/2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 1 = 2*g, -3*x + 3*g = 4*g - 1. Let w be (2 - x)\/(-1) + 3. Find the third derivative of -2*l**3 + l**2 + 4*l**3 - w*l**2 wrt l.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1055 + 1072. Let p = -9 + 8. What is the second biggest value in x, 0.5, p?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2, 13001, -0.5.\nAnswer: -2, -0.5, 6, 13001","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5 + 7 = 0. Suppose -s - 5*w + 17 = 1, -3*w = u*s + 4. Calculate the smallest common multiple of (5\/(-2))\/(2\/s) and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25030 + 23895 = 326*l + 472*l + 58715 for l.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5429 + -9153. Let k = 7607\/2 + c. Let v = k + -80. Put 1, v, -18, -3\/4 in descending order.\nAnswer: 1, v, -3\/4, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2174 + 2255. What is the greatest common divisor of x and 1593?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120) - (sqrt(120) - sqrt(120)*-2))\/sqrt(12) - -6*sqrt(160))\/(-6*sqrt(320)*-1).\nAnswer: 11*sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + (503 + -516 - (-17 - -1))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 360*t - 42952 = -265*t - 142*t for t.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*p - 111 = 14 + 70 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (1\/4)\/(20\/80)*1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181198 is divided by 49?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/8*-3*(-12)\/9\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/22 and (525\/926520)\/(340\/432)?\nAnswer: 412522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g + 10*g - g + 1)*(-2 - 3 + 7) + (4 + 0 - 3)*(-3*g - 3*g + 10*g + 7).\nAnswer: 12*g + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 12:40 AM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0698 and 666.\nAnswer: -46.4868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-3)*(6 - (-520)\/(-39)). Which is smaller: -5 or y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573493 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2594.9646387 less than 45?\nAnswer: 2639.9646387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 14*b - 8 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h**2 - 8*h + 6. Calculate the least common multiple of 4 and d(6).\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1176320*c**3 - 2352637*c**3 + 1176320*c**3.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by (5 - (-2)\/(-6))*(-18)\/(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2796?\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5569 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiniixx. What is prob of sequence nx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 21223 (base 5) to base 11\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - (-4 + 0 + 3). Let p = 17610 - 17600. Solve h*q - p*q + 7 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -127 - -117 - (1 - 1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -15 - (-327 - -336)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vrct when four letters picked without replacement from vtccvtcctvvtvrtttcv?\nAnswer: 35\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5222995?\nAnswer: 5, 17, 43, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 12 = -6*z. Let w be (24\/(-8))\/(3\/z). Let s be (-1 + w + 3)\/5. Which is the fourth smallest value? (a) s (b) 0.4 (c) 0.2 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 64*b + b + 111*b - 19*b in the form n*b + t and give n.\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -52 smaller than -49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/49617 and -93\/1764160?\nAnswer: 15877440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 5*h + 2, 2 - 3 = 5*h - j. Suppose -162 = i - 5*g, 7*i - 3*i + 4*g = -768. Let l = i - -178. Put 5, l, h, -1 in descending order.\nAnswer: 5, h, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5439?\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -3\/5171 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 6*y**2 - y + 6. Let j be r(6). What is the nearest to j in -2, -4\/9, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 6*h + h**3 - 6*h**3 + 4*h**3 - h + 1 - 2*h**2. Let w be r(-4). What is the highest common factor of w and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9739756051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -1\/8*b**4 + 2*b - 1\/60*b**5 - 2\/3*b**3 + 0*b**2 + 0. Let s(q) be the second derivative of g(q). What is s(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 80*y**2 + 80*y**2 - 234*y**2 + 77*y**2. Let w(z) = 2*z + 1. Determine n(w(i)).\nAnswer: 12*i**2 + 12*i + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 603 + -602. Suppose -l + 5 = 2*j, -l = -5*j + l + 17. Solve j*x**3 + x + 6*x**2 + 0*x**3 - 4*x**3 - y - 5 = 0 for x.\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 4*n**3 + 10*n**2 + 10*n - 13. Let w(l) = -2*l**3 - 5*l**2 - 5*l + 6. Let q(m) = 6*v(m) + 13*w(m). What is the tens digit of q(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 20 = 4*g - 3*g, -80 = -4*g - p. What is the third biggest value in g, -2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 81 + -45. Let y = k - 22. What is the remainder when y is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -27, 4.\nAnswer: -27, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*b**2 + 1 - 1)*(-5*b + b + 2*b) + 3*b**3 - 5*b**3 + 5*b**3 + (b + 4*b - 3*b)*(2*b - 2*b**2 - 2*b) + 1 - 1 - b**3)*(0*b - 3*b + 2*b).\nAnswer: 6*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/(-336)*1\/(-6).\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - x**2 - x - 1. Let m be b(2). Let c(w) = w**2 + 35*w**3 + 2*w**3 - w - 50*w**3 + w**3 + w**2. Give c(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -7*l + 11*l - 20, 2*i + 8 = -4*l. Solve 3*v = -3*m + 24, -v - 10 = -l*m - 5*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 798461.3 nanometers in kilometers?\nAnswer: 0.0000007984613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4752 and 243.\nAnswer: 42768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + g - 1. Let n(b) = 27*b**2 - 6*b + 6. Let c(o) = n(o) + 6*t(o). Let v(p) = -p. Calculate v(c(y)).\nAnswer: -21*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*(-9)\/9*(-1)\/(-3). Let n(m) = 2*m + 8. Let k be n(-8). Let i be (s*(-2)\/k)\/(-2). Solve -2*l - 2*l + 16 = i for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13304, -8684, -4064?\nAnswer: 556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118439 is divided by 11779.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 0 + sqrt(242) + sqrt(10)\/(1*sqrt(5)) + sqrt(2) + 0)**2.\nAnswer: -26*sqrt(2) + 339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b + 5*x + 38 = -66, -36 = 4*b + 3*x for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/7, -0.2, -1\/55 in ascending order.\nAnswer: -0.2, -1\/55, 8\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (80\/(-256)*-8*-2*15)\/((-3)\/(-2))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7430640*t*u**3 - u**3 - 192357*u**2 + 3 wrt t?\nAnswer: -7430640*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0030841 rounded to 4 dps?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 58 = 2*x + 63, 21 = -3*x for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1361\/13159?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 3*v**4 + 1359*v**3 - 9*v**2 - 4083*v - 2718 = 0?\nAnswer: -453, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 2:03 PM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 2*x. Let f = -34 - -37. Give n(f).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6028 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o - 54. Let y(s) = s - 60. Let p(d) = 9*b(d) - 8*y(d). Let n = -1 - 5. Calculate p(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**2)\/l*l\/l**(1\/14)*l**(-5)\/l**(-3\/7) assuming l is positive.\nAnswer: l**(-79\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*n**3*u + n**2*u**3 + 4*n**2 - n + 400*u**3 wrt n?\nAnswer: -24*n*u + 2*u**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z*z\/(z\/z**(-7)*z))\/z)*z**0\/z)**(-1\/9)*(z**(-1\/3)*z)**(11\/7)*z**(-5)*z*z**2 assuming z is positive.\nAnswer: z**(-116\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 1:05 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 415743.\nAnswer: 3, 138581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -641976?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 7438 to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = z + 30, 3*p = -3*z - 51 + 21 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 28 (b) 10\/9 (c) -423 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77329 is divided by 93.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/7 - 982*n**2\/7 - 5788*n\/7 + 15520\/7.\nAnswer: -2*(n - 2)*(n + 8)*(n + 485)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a - 14 = -18*a. Suppose a*v + 1707 - 1693 = 0. Let u(c) = 4. Let w(p) = -p**3 + 20. Give v*w(o) + 11*u(o).\nAnswer: 2*o**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 smaller than 2428683?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1371855.03 to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 39583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 3*t**2 - 6*t + 8. Let p = 74 - 68. Suppose -3*j - 3*m - 9 - p = 0, 5*j + 18 = 2*m. Calculate the remainder when 26 is divided by b(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m + 2. Let q be a(-4). Let j be ((-57)\/(-33))\/1 + q. Let s be ((-1 - -1)\/(-2))\/2. Is j greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 55635, -0.04?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 8) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 14 = -s - 0, 0 = 3*s - 5*j + 22. Let u(r) be the second derivative of 7*r**3\/6 + 5*r**2\/2 - r + 2. What is u(s)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-29))**39)**3 assuming n is positive.\nAnswer: n**(-3393)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/2140000 and -73\/1712000.\nAnswer: 8560000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/6)\/(q\/(q\/(q\/((q*(q**(-1\/6)*q*q)\/q*q*q)\/q))))*(q*q\/(q\/(q\/(q\/(q*q\/(q*(q\/((q**4\/q)\/q))\/q)))*q)))\/(q*q**(-7)*q))**(1\/32) assuming q is positive.\nAnswer: q**(35\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 5, 4*l - 202 = 2*l + 4*n. Let j be l\/12 - 2\/8. List the prime factors of ((-243)\/18)\/((-6)\/j).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.11673 rounded to 2 decimal places?\nAnswer: -1.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -97*y - 1. Let w(g) = -23*g**2. Give w(j(v)).\nAnswer: -216407*v**2 - 4462*v - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/30*(-40)\/(-56)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2*i = -564, 4*i = -x + 3*i + 138. Let z be (-2)\/3 - x\/(-12). Does z = 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233 - 240 = -c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*u + 10*u + 5*u.\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*y**2 - 3 + 3687*y - 3683*y + 34*y**2 in the form o*y**2 + w + c*y and give o.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -20600 and 419.\nAnswer: -8631400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -11. Let t(d) = -12*d - 1. Let s(o) = o - 1. What is the remainder when t(k) is divided by s(14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (24 + -116)\/(3\/(30\/4)). Let f = -173 - o. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24188471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 23*r. Let y(w) = -w**2 - 2*w + 8. Let l(a) = -a**2 - 3*a + 9. Let g(u) = -2*l(u) + 3*y(u). Let p(k) be the first derivative of g(k). What is o(p(c))?\nAnswer: -46*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 11*m + 14. Let k be b(10). Suppose -4*x + n + 74 = -n, -2*x = k*n - 22. List the prime factors of x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4*w**2 + 4. Let g = -18 + 53. Let j(v) = 13*v**2 - 7. Let h(d) = 77*d**2 - 42. Let u(z) = g*j(z) - 6*h(z). Give 5*b(i) - 3*u(i).\nAnswer: i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -466 + 457. Let f(t) = -3*t**2 - 19*t - 4. Determine f(m).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -4*r**5 + 128*r**4 - 112*r**3 - 376*r**2 + 116*r + 248 = 0?\nAnswer: -1, 1, 2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19695741 a multiple of 221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(10\/17)\/a**(-4\/33))\/(a**22*a**(-4\/5)\/a) assuming a is positive.\nAnswer: a**(-54671\/2805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -1\/4 (c) -1 (d) 530\/285869\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -687 divided by -12\nAnswer: 229\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/(-21) - (3 + -6 + 0)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.9164 - -1.4164. Let z = 47\/4 - 247\/20. Let j be (((-3)\/1)\/(-9))\/1. What is the closest to j in y, z, -0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 422 is divided by 368.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*n - 419 = 0. Suppose 4*t - 41 - n = 0. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2701 + -1609. Suppose j = 2*j. Suppose 0*p + 7*p - o = j. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9222, 18470, 27702, 36912, 46094, 55242?\nAnswer: 64350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*o**2 - 8 + 33 - 7*o**2 + (7*o - 3*o - 2*o)*(-5*o - o - 6*o) in the form r + x*o + u*o**2 and give r.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 3*k + 3. Let j(d) = 4*d. Let z be j(k). Let l = 7 - 10. Which is the closest to -2\/5? (a) z (b) l (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5784 (base 11) in base 7?\nAnswer: 31066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2415\/1260 + (-5)\/3 + (-33)\/108?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d. Let c(k) = 19*k - 2*k - k - 3*k. Give r(c(n)).\nAnswer: 13*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 + -131\/4. What is the second biggest value in 0.4, j, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, -3, -0.1, -0.1382?\nAnswer: -0.1382","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) 0.5 (c) 2\/5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 42260 to the nearest one thousand.\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of h**3\/6 - h**2 - h. Let w = -2 + 8. Let p be m(w). Solve -10 = -2*t, 0*t - 11 = -p*o + t for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3340715666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((sqrt(297) - (1*sqrt(297) - sqrt(297)) - sqrt(297) - sqrt(297))*-1*1)\/(sqrt(11) + sqrt(220)\/sqrt(5) - (sqrt(1584) + -2*sqrt(1584))))**2.\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -116 >= -1266177?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 223958401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 9:42 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 102 + -89. What is the nearest to 0.1 in -2\/13, 1\/3, h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/113 in 0.3, 1\/4, -1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89618, -179209, -268824, -358469, -448150, -537873?\nAnswer: -627644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*a = -55*a + 238 + 1841 for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16543570 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 78 + -85.8. What is u rounded to zero decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 50 from 39.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, d: 3, q: 2, v: 2, p: 8}. Give prob of sequence qq.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 4792776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**2 - 3*b**3 - 4*b**2 + (1 - 2*b - 1)*(-2*b**2 - 2 + 2) - 2 + 2 + 4*b**3 + 4*b**3 - 3*b**3 + b**3)*(2 - 3*b + b + 0*b) - 5*b**4 - b**4 - b**4.\nAnswer: -21*b**4 + 14*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from lsrsnsrllnanrda.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -55 - -54.6. Which is the nearest to -1\/4? (a) -5 (b) u (c) 2\/65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -8 + -11*(6 - 7). Suppose 4*y - t*f = -833377 - 24086611, 3*y - 2*f = -18689992. What is y rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 10 = -g, -2*g + 4*d + 4 = 2*d for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11828334 is divided by 3942770?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.6 - -3. Suppose -20 = -0*i - 3*i - 2*t, 3*i + 5*t - 14 = 0. Let n be (-2)\/(-18) - i\/18. Put n, m, 2\/7 in descending order.\nAnswer: m, 2\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -1.5. Let u = 0.8 - y. Let t = u + -0.2. Does t = 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -34\/6325?\nAnswer: -34\/6325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 8*q + 4. Let n be y(-8). Suppose -4*d + 0*d + 19 = g, -31 = -5*g - n*d. Suppose z + f - 6 = 3*f, -g*z + 18 = 2*f. Is 5 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -208.69, 5, -1?\nAnswer: -208.69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -379 - 306. Is -4*(o\/4 - -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6936?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -7 + 13. Suppose 2*z - 1 = -3*g + 2, -z + w = 3*g. Does 3 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.97 + -2. Let l = n - 1.97. Let p be ((-12)\/2376*-11 - (-2 + 664\/288))\/1. Which is the fourth smallest value? (a) 5 (b) 2\/13 (c) l (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*s - 33*s - 9. Let y(t) = 5*t**2 - 5*t + 2. What is the tens digit of y(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**2 + h + 1. Let k be t(-1). Let c be -1 - (-1 + (-363 - k)). Suppose -23 - c = -6*v. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -29, 2, 1 in increasing order.\nAnswer: -29, -14, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.05 - -2.95. Let p = -18 - q. Let v = -21.04 - p. Round v to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/6970 and -15\/3362.\nAnswer: 285770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n**5 - 185*n**4 - 164*n**3 + 2*n**2 - 1599*n - 2 wrt n.\nAnswer: 120*n**2 - 4440*n - 984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0*4257.4661\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 876102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*h - 4835247 = -5*h - 4834373 for h.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 5*g + 35. Let m(t) = t**3 - 3*t**2 - 3*t - 3. Let j be m(-2). Let b(q) = 2*q + 12. Let h(n) = j*b(n) + 6*p(n). Is h(-6) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 801, 2555, 5479, 9573, 14837, 21271, 28875?\nAnswer: 37649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 368 + 154)*(-2*m + 4*m - m).\nAnswer: 518*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 60 - 2080*k**2 - 1150*k**2 + 46.\nAnswer: -3230*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 2:44 PM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -425*n + 1493 + 13*n - 89*n wrt n?\nAnswer: -501","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1003, 1970, 2879, 3694, 4379, 4898, 5215?\nAnswer: 5294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1*3)\/(28 + -29). Solve 0 = r*o + 4 + 11 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -a**9\/1512 + a**6\/360 - a**3 + 2. Let o(n) be the third derivative of c(n). Find the third derivative of o(g) wrt g.\nAnswer: -120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24920969.5 rounded to the nearest 10000?\nAnswer: 24920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 75678897?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 n when two letters picked without replacement from nlellxlnxxeleexqex?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 186*k**3 - 2*k**2 + 2*k - 1. Let b be v(-4). Let z = -238949\/20 - b. Calculate the common denominator of z and 103\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, -4, -2\/15, 0.01, -2, 3 in decreasing order.\nAnswer: 35, 3, 0.01, -2\/15, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8137508.16451 - 0.3?\nAnswer: -8137508.46451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - 5. Let i = 1 - -8. Let l = i + u. What is the smallest common multiple of 6 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33972539?\nAnswer: 4723, 7193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 0. Suppose -3*z + 13 = -b, -7*z + 3*z + 5*b = t. Suppose 2*m - 5*m + 18 = 0. Calculate the lowest common multiple of z and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/167 and 22\/5?\nAnswer: 835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-62)\/(-21142)*22).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (((-48)\/270)\/4)\/((-4)\/(-20))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 11) to base 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2952 is divided by 229.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14163, 25675, 37187, 48699, 60211?\nAnswer: 71723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 69 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12580 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: Which is bigger: 5004 or -11010?\nAnswer: 5004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 214, 152, 96, 46, 2, -36, -68?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 107 = -3*m - 384, -m - 2*r = 94. Is m at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a + 4*s - 8, 2*s - 3 = 4*a + 11 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 29*f*m**3*o + f*m**2*o - 2*f*m**2 + m**3*o + 89*m*o wrt f?\nAnswer: 29*m**3*o + m**2*o - 2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -6*t, 3*t + 29 = -5*h - 10 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.6 - 10.2. Let z = -0.47 + -0.53. Which is the closest to 0.1? (a) z (b) k (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.1 + 0. Let p = d + 0.8. Let v = -6\/17 + 29\/34. Which is the third smallest value? (a) 3 (b) v (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-l + 1 - 1)*(2*l**2 + 0 + 0) + 3*l**3 + 3*l - 3*l + 0 + 0 - 2*l**3)*(8*l + 8 - 8).\nAnswer: -8*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -11598 divided by -6\nAnswer: 1933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1908 + -1903. Solve 8 - 23 = a*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5\/15 - 1\/3) + 3. Suppose u*p - 28 = -22. Let a be (236\/3 + 1)\/(p\/6). What is a rounded to the nearest 10?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 4*r + 1. Let s be k(1). Suppose 3*j - m = 39, -3*j = -2*j + s*m + 3. Is 6 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223432.\nAnswer: 2, 11, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 - 3)*(2*a**4 + 1 + 20*a**4 - 32*a**4) as d*a + r*a**2 + x + q*a**4 + g*a**3 and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 7*b - 4. What is k(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3450619981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*s + 0 + 0)*(s + 3*s - 5*s)*(18 + 20 - 41 - 7*s) to n*s**3 + a*s + l + q*s**2 and give n.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1658, 6869, 15396, 23923?\n\"Answer: 8527*m - 10185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -7, 1, 17 in ascending order.\nAnswer: -7, 1, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 3 + 0 + (5 - 4 + 1)*(3 - 6 + 5))*(0 - 2 + 9)*(-689*m**2 - 1737 + 1737) to the form w*m**2 + k*m + t and give w.\nAnswer: -48230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -588 - 275. Let b be m\/6*-73 - 17\/(-102). Round b to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 52*y**2 + y + 1. Let g be d(-1). Let t = -14 + g. Is t a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -29, -41, -53?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**2\/9 + 388882*o\/9 + 1944560\/3 = 0. What is o?\nAnswer: -15, 194456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.07 - 0.06967. What is o rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -7*v**2 + 6*v - 10. Let k(q) = -2*q**2. Determine s(k(h)).\nAnswer: -28*h**4 - 12*h**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51111, -102364, -153617?\nAnswer: -204870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 213\/2 + (-5)\/10. Suppose -5*k + 30 = 5, 2*q = -2*k + n. Calculate the remainder when 188 is divided by q.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 10:18 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10326594*r**2 - 8205057*r.\nAnswer: 20653188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1131 (base 4) to base 16\nAnswer: 5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 554 = -67. Is 23 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 487663 * 21.\nAnswer: 10240923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 13559*a - 87. Suppose -3*f - 24 = -3*q, 4*q - 4 = -5*f - 35. Let h be j(f). Round h to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 15*j - 4. Determine b(3).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 1876006044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 161 + -146. What is the remainder when ((-120)\/16)\/d*(1 - 55) is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dpn when three letters picked without replacement from {d: 2, i: 6, p: 3, h: 3, w: 5, n: 1}.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 26 = v + u, -5*v + 3*u = -34. Suppose 0 = -2*l - 2*l + 4, -l - 7 = -2*d. Let i(s) = v - d*s + 4*s + s - 2*s. What is i(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + a**2 + 2. Let m be d(0). Let q = 4 - m. Suppose 4*b + 3*g = -23, -5*b + 0*g = -4*g + 21. Sort b, -2, q in ascending order.\nAnswer: b, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 d when two letters picked without replacement from {d: 1, w: 1, o: 2, z: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (27 - 27)\/(-3 + 2). What is the closest to g in -2, -1\/15, 1?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001011 (base 2) in base 15?\nAnswer: d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 28*m - 13. Let j(n) = -13*n + 7. Let q(h) = -13*j(h) - 6*y(h). Let b be q(17). What is the highest common divisor of b and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + q**2 + 3*q + 4. Let r be n(-4). Which is bigger: 21 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1005994 a multiple of 1053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 167611?\nAnswer: 167606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -5*b + 2*b - 5 - 4*b. Let k(f) = -15*f - 7. Let n(j) = -j. Let q = -1 + 0. Let p(o) = q*k(o) + 5*n(o). What is 7*c(z) + 5*p(z)?\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8707, 17401, 26093, 34783?\n\"Answer: -v**2 + 8697*v + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**5\/15 - 2624*c**4\/15 - 850112*c**3\/15 + 461824*c**2 - 929280*c = 0.\nAnswer: -660, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -s**4 - 17*s. Let z(p) = -4*p**2. Determine a(z(g)).\nAnswer: -192*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -2*l - 4, 4*o = 2*l - 0*l + 10. Let n = -0.04 + -1.088. Let v = n - -0.128. Which is the smallest value? (a) -2\/41 (b) l (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/6*1140\/(-2432))\/(6\/84*-7)?\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49 - -49. Solve -u - 2 = -4*f + 6, v = f - 3 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0*w - w + 3*w)*(-170*w**2 + 321*w**2 - 207*w**2) - 2*w**3 - w**3 + w**3)*(3*w - w + 0*w) to the form s*w**4 + a*w**3 + t*w**2 + j*w + f and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j + 9. Let i be r(5). Suppose -2*g - i*m = -208, 0 = 2*g - 0*m + m - 196. What is the highest common factor of g and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 9:55 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3463065500.\nAnswer: 2, 5, 6926131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, 4\/7, -2\/5, -81, -3, 0 in decreasing order.\nAnswer: 4\/7, 0, -0.05, -2\/5, -3, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j + 19. Let q(h) = 491380*h**2. What is b(q(c))?\nAnswer: -491380*c**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-0.0797961\nAnswer: -0.03191844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = z - 3*c + 12, 15 = -2*z + c. Let g = z - -11. Suppose 0*o = -g*o + 224. Round o to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 9036*v**3 - 9*v**2 - 588*v - 6. Let h(b) = 4519*b**3 - 3*b**2 - 294*b - 2. Let j(x) = -5*h(x) + 2*u(x). Find the third derivative of j(g) wrt g.\nAnswer: -27138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6601.5115 to the nearest integer.\nAnswer: 6602","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1727268160?\nAnswer: 2, 5, 5397713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 12:40 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -56*o + 46*o + 46*o + 1. Let w(z) = z. Give w(r(m)).\nAnswer: 36*m + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of (4\/3)\/(1\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8745613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 476, 1157, 1882, 2645, 3440, 4261, 5102?\n\"Answer: -l**3 + 28*l**2 + 604*l - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p + 4*j + 18, 0*p - 5*p + 5*j = -25 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13833536.\nAnswer: 2, 216149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {s: 3, n: 2, o: 4, q: 2, x: 2}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.43 - -0.03. Let a = -3 + 8. Let v = 700.95 + -700.75. What is the fourth biggest value in v, 1, a, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2 + sqrt(171)*-4 + 0.\nAnswer: -12*sqrt(19) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - g - 1. Let i(d) = 6*d**3 - 5*d**2 - 8*d + 3. Let p(u) = -3*c(u) - i(u). Let o(w) = 2*w**3 - 3*w**2 - 4*w. What is -8*o(q) - 3*p(q)?\nAnswer: 2*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/8 of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39830, -1, 3, -3.\nAnswer: -3, -1, 3, 39830","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3934 + 0.1312. Round i to two dps.\nAnswer: 0.52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 3 - 23, 2*k - 226 = -s. Is 36 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1864896 and 7064.\nAnswer: 1864896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146320.\nAnswer: 2, 5, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*g - 64 = 0, 3*w + 5*g + 16 = 62. Solve 0 = -3*a + 4*b + w, -5*a + b = 4*b + 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 283 + -261 - 7*2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9481 or -9479?\nAnswer: -9479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.212 + -0.06.\nAnswer: -1.272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/(-84)*147\/14?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 17 = 10*l. Let c = 20 - l. What are the prime factors of c\/21 + 1395\/35?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u*u\/((u\/u**9*u)\/u))*u*u*u\/u**1 assuming u is positive.\nAnswer: u**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 10 (b) -1\/5 (c) -4 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 11*w - 8. Let m be z(15). Let q be m\/(-20) + 0 - (-4)\/(-10). Suppose -2*h + 0*h = -2. Sort h, -7, q.\nAnswer: -7, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + (-16)\/(-2) + 1. Let q(z) = 28*z + 16. Let n(c) = 9*c + 5. What is s*q(u) - 16*n(u)?\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 1 = 1. Suppose -2*a = g - 17, 0 = -a - 4*g + u - 4. 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 o = -19.884 + 20.284. Sort -0.1, 0.5, -2\/9, -11, o in increasing order.\nAnswer: -11, -2\/9, -0.1, o, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43 - -27. Let k = i - -38. Suppose -4*v - 5*j = -33, -v + 4*j - k = -4. Solve 0 = v*w + w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -11*n**2 + 32*n - 38. Calculate z(3).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -16327 to the nearest one hundred.\nAnswer: -16300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4560649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, l: 2, w: 4, o: 1}. Give prob of sequence wown.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3935135344 to the power of 1\/4, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/15 of a hour in seconds?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3 - -1 - -4)\/(-4))\/1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -5*s + 176, 5*k + s - 5*s = -474. List the prime factors of (-7098)\/k + (-4)\/(-7).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 7*g + 4. Suppose -5*k + 6 = -14. Suppose 50 = 1117*t - 1127*t. Let n(q) = 6*q + 3. What is k*u(v) + t*n(v)?\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-3)\/(-63) - (-39)\/84.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 6*y + 30. Let c be y\/27 - 573\/(-27). What is the greatest common divisor of 7 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of k**5\/20 - 358*k**2. Let x(r) = -849*r**2. What is x(b(u))?\nAnswer: -7641*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 98.9999997 + -99. Round i to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 71, -27, 0.3, -869 in decreasing order.\nAnswer: 71, 0.3, 1\/6, -27, -869","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by 176\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -31*n + 1220. Determine g(39).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 906672 divided by 11624.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1512\/2187 - (-16)\/(-648) - (-554)\/6.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 113322 - -51255?\nAnswer: 205021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.5 + 1.6. Which is bigger: p or -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, f: 1, s: 2, r: 6, l: 8}. What is prob of picking 1 l and 1 s?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -7*m - 3. Let a(y) = -y - 7. Let v(q) = 1. Let f(g) = a(g) + 6*v(g). Let s(l) = 6*f(l) - i(l). What is the units digit of s(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1994, -1957, -1920, -1883, -1846?\n\"Answer: 37*s - 2031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 243 + -227. Solve -v - u = 4*l, -2*v - 2 + 3 = -3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -532*n + 527*n + 5, 2*n + 0*n + 3 = -5*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/12 + (-5)\/30. Which is the third smallest value? (a) -0.4 (b) 2\/5 (c) w (d) 5 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 337005015 a multiple of 1219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 6 = 4*p, -4*p + 10 = -2*j - 4. Suppose b - 27 = -4*g + 2*g, 3 = 3*b. Let x(c) = -c + 18. Let t be x(g). Sort t, j, -2 in decreasing order.\nAnswer: t, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 10, d: 1, y: 1, q: 1}. Give prob of sequence ww.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9966 or -9965?\nAnswer: -9966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(3*(sqrt(80) + 3*sqrt(80) + -5) - (-4 + 3 + (sqrt(80)*2 - sqrt(80))))*2)**2.\nAnswer: -19712*sqrt(5) + 158016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u + 17. Let y be q(-3). Let d be (80\/(-32))\/(2\/(-20)). Let o = d + -22. Solve -5*t - o = -y for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*c - 226260 + 21*c + 226185 in the form o + z*c and give o.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qcqc when four letters picked without replacement from {c: 2, q: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o*o**(-12\/5))\/o)\/o)\/(o*(o**(-35)\/o)\/o) assuming o is positive.\nAnswer: o**(168\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138471.\nAnswer: 3, 101, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (6\/49)\/((-45450)\/(-197960))\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, -3, 0.2, 0.5, 6.3 in decreasing order.\nAnswer: 6.3, 4\/7, 0.5, 0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-22) - 28\/154. Suppose -4*t - 3*x + 72 = u, -3*t - t + 2*x = -92. Which is smaller: t or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 338*y**2 - 137540*y - 10591. Determine a(407).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1120)\/(-150))\/4 + -2 - (-579)\/(-45)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of 2*k + 7\/12*k**4 - 1\/2*k**3 - 1\/2*k**2 + 0 - 1\/20*k**5. What is the remainder when s(4) is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*f - 117*f - 60*f.\nAnswer: -121*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*5\/50*5. What is the second derivative of -54*f**2 + 13*f**2 + 24*f**c + 16*f wrt f?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**2 - 30*h**2 - 29808*h + 26*h**2 - 2.\nAnswer: -h**2 - 29808*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 - 3*a + 2. Let n be c(-5). Suppose w = -33 + 10. Let t = n - w. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 0.06, 9, -44?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*k - 21 = 0. Suppose -5*z = -4*c + 250, k*z = 4*z + 5*c - 150. What is the units digit of 2\/(-8) + z\/(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27994215 divided by -1866281.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + -15 + 1\/3. Let r = b + 17. Let k = -2\/69 - 128\/345. What is the biggest value in r, k, -1\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**3 + c + 1. Suppose -3*a + a + 38 = 3*g, 0 = -4*a + 4. Suppose 0 = 5*o - g - 33. Let w(j) = -j**2 + 8*j + 8. Let z be w(o). Calculate q(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18371970?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/4, 29, -2\/9, -69, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*1\/3*-6. Suppose -z - 90 = -2*t - c*t, 4*t = -z + 94. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 131*i**2 - 511. Let z(s) = 3*s**2. Determine q(z(n)).\nAnswer: 1179*n**4 - 511","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 121*i - 3*i**2 + 3*i**2 - 46*i + 44*i**3 + 116*i**3 wrt i.\nAnswer: 960*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9773?\nAnswer: 29, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1180\/13 + 8*p**2 - 2\/13*p**3 + 62*p.\nAnswer: -2*(p - 59)*(p + 2)*(p + 5)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -95?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - j + j)*(-j**2 + 0*j**2 + 1 + 2*j**2).\nAnswer: 3*j**3 + 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74579*w**3 - 74576*w**3 - 3*w**2 + 3*w**2.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 19523679 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: Calculate the common denominator of 149\/468 and 77\/7855536.\nAnswer: 23566608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5797 = -5*h - 21*v + 18*v, -4*v = -16. List the prime factors of h.\nAnswer: 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + 5*k - 5. Let n be q(4). Let i = 127 + 59. Let v(b) = 60 - i + 56 + 7*b - 3*b + 64. Let l(y) = 1. Determine n*v(w) - 6*l(w).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 + 2)\/(9\/2 + -5). Suppose -3*i - 2 = -f, -5*f + 37 - 8 = 4*i. Let s be (1 - i)\/2*-1. Solve 3*j + 2 = -u + j, -3*u - z*j = s for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*k - 32*k = 6. Let j = -23 - -23.13. Let n = j - -4.87. Which is the second smallest value? (a) -1 (b) k (c) 0.5 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -23*n - 131. Let q be v(-8). Suppose 23*f + q - 7 = 0. Let y = 1.9 - -0.1. Which is the closest to y? (a) -2\/5 (b) f (c) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q - 255. Let b(v) = -7*v + 1530. Give -2*b(s) - 13*i(s).\nAnswer: s + 255","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -33, -1052, -1 in ascending order.\nAnswer: -1052, -33, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (5 + (-15 + -1 - -6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + (sqrt(20) - -4*sqrt(80)) + -6*sqrt(20)*1)\/(-5*((2*sqrt(1000) - sqrt(1000)) + sqrt(1000))).\nAnswer: -sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 5. Let h be z(0). Let n = 7 - h. Suppose 3*k + 0*y = -4*y + 3, -n*y = 0. Calculate the highest common factor of 7 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 29*q**2 - 787*q - 2940. Let v(c) = -5*c**2 + 139*c + 490. Give -17*v(j) - 3*y(j).\nAnswer: -2*j**2 - 2*j + 490","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11.49 + -11.39. Sort 0.04, -5\/3, z in descending order.\nAnswer: z, 0.04, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k - 90*w + 92*w + 13, 23 = -5*k - 2*w for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j + 5*j - 2*j + (4 + 2*j - 4)*(1 - 1 + 2) - j + 3*j - 5*j + j + 3*j - 5*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/(-8))\/((-14172)\/(-302336)).\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 213, 32311, -1, 1 in increasing order.\nAnswer: -1, 1, 213, 32311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4646 and 1756178708?\nAnswer: 4646","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 13, 21, 140, -7, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -3. Let w = 190 + -189. What is the nearest to w in d, -5, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 8*b - 6. Let m be c(7). Suppose -2*p - 124 = -3*a, -p + a - m = 11. Let f = -32 - p. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (5 - 7)*(-7)\/2 and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27553, 54992, 82431, 109870, 137309?\nAnswer: 164748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and -2731999237549.\nAnswer: -2731999237546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 6 + 2 = 4*t, 5*p - t - 53 = 0. Suppose 0 = n - 5*d + 8, 2*d + 0 = p. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.213722 to 2 decimal places.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 115 and 184.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 9. Let m(j) = -2 - 3 + 3*j - 4 - j. What is the units digit of m(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyx. What is prob of sequence xx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/(sqrt(50)\/sqrt(5)) + -3.\nAnswer: -3 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 540\/9*(-1)\/(-2). What is the tens digit of (-2 - -52)\/((p\/(-9))\/(-5))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 9*i**2 + 62*i - 8. Calculate k(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 15) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 2*f - 4*f + m, -3*m - 144 = 4*f. Is 11 a factor of ((-1)\/3)\/(1\/f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 0*v + v - 4*v**2 - 4 + 0. Let s(i) = -6*i**2 + i. Let k be s(1). Let u be k - (-1 - 4\/(-2)). Let q(n) = -5*n**2 + n - 5. What is u*g(j) + 5*q(j)?\nAnswer: -j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 12*j + 6. Let h be q(-12). Suppose 3 = 3*f - t, -h = -3*f + 4*f + 2*t. Which is the second biggest value? (a) f (b) -3\/7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -2, 78 in decreasing order.\nAnswer: 78, 9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10b4 (base 13) to base 11.\nAnswer: -1841","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 3:18 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 8:42 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/((l*l**(-9))\/l))\/(l\/(l*l**(-4))))\/(l**6\/((l*l*l\/(l*l*l**(-1\/7))*l)\/l)))**35)**(10\/3) assuming l is positive.\nAnswer: l**(400\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v - 2*v + 2*v + (4*v - 3*v - 3*v)*(-4 + 2 + 3) + (-13*v + 15*v + 27*v)*(-1 + 2 - 3) in the form m + x*v and give x.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.2 - 3.4. Which is the nearest to o? (a) -27 (b) 0.3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6715 - 7224. Which is the closest to z? (a) -3\/2 (b) 0.2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(5) + -1 + -5).\nAnswer: -12 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-5)*u*u*u**3*u**5\/(u*u\/(u\/(u**(-1\/2)*u))) assuming u is positive.\nAnswer: u**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1403371.\nAnswer: 1403371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2691 is divided by 71.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/16391148 and -139\/68742.\nAnswer: 147520332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4351 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 27231443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1070, -2, 101, 2, -4.\nAnswer: -4, -2, 2, 101, 1070","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -4*j**2 - j - 2. Let g(x) = 55*x + 1539. Let r be g(-28). Let d(b) = -b**2 + b. Determine r*i(u) - d(u).\nAnswer: 5*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**2\/7 - 87362*j\/7 + 5619380 = 0.\nAnswer: 455, 43226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in micrograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 14*t**2 + 3. Let m be a(-14). Suppose -3 = -m*z + 3. What is the nearest to 0.1 in 0.4, z, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 11:18 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z - 23. Let u(p) = -3*p + 23. What is -5*d(a) - 6*u(a)?\nAnswer: -2*a - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 20424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (13 - -2)*8\/12 - -2. What is the highest common divisor of 36 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18.07 - 18. Let j be (0\/(-6) - 6\/36)*(-5 + 2). What is the nearest to p in 5, j, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/17)\/f)**27\/(((f\/f**(-4\/9))\/f)\/(f\/((f**(-5)*f)\/f))))**(-1\/46) assuming f is positive.\nAnswer: f**(3767\/7038)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/1395 and -34\/1085.\nAnswer: 9765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16332 a multiple of 188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -12, -6, -3, 36, 1, 5 in decreasing order.\nAnswer: 36, 5, 1, -3, -6, -9, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*k = 26*k - 12 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/9 - 1742*d**2\/9 - 10036*d\/3 - 8288.\nAnswer: 2*(d - 888)*(d + 3)*(d + 14)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 524693?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -14 + 13 - (-1 + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**3\/3 - 22*k**2\/3 - 8*k = 0. What is k?\nAnswer: -1, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 299?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 703086*i**4 - 438334*i**2 wrt i?\nAnswer: 16874064*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 6 - 1 + 5 - 2*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 17*q**2 - 13*q - 19. What is the common denominator of -1\/17 and h(16)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5)\/((u\/(u\/(u\/u**(5\/2)))*u)\/u))\/(u*u\/(u\/(u\/u**(-4)))*u**(-1\/4))*u**(-1)*u**9*u*(u*(u*u*u\/u**(1\/3))\/u)**(-2\/23) assuming u is positive.\nAnswer: u**(-133\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1386 and 1134?\nAnswer: 12474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4271000 rounded to the nearest 100000?\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 224420 and 9310.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -34276, -34275, -34274, -34273?\n\"Answer: v - 34277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 31 + 4 - -1. Suppose -5*r + 2 = -d. What is the lowest common multiple of 1 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410.63841 days in weeks?\nAnswer: 58.66263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 43400 and 27125.\nAnswer: 217000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6831470 <= 6831470?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or -9\/62?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 197920 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(((r*r**(2\/13)*r)\/r)\/r)\/r)**(-2\/31) assuming r is positive.\nAnswer: r**(-4\/403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 4*f - 234. Let j(r) = 4*r - 232. Determine -4*j(x) + 3*m(x).\nAnswer: -4*x + 226","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 375100 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a144 + 21?\nAnswer: a165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13509)\/(-2686) + -7 + 2)*(0 - 8)?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 7*z - 8. Let t(x) = -28*x + 28. What is -18*f(a) - 4*t(a)?\nAnswer: -14*a + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/4 + 18623*q\/4 - 55887\/2.\nAnswer: (q - 6)*(q + 18629)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1441 (base 16) to base 2.\nAnswer: 1010001000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63 and 255123.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -78 + 80. Suppose -2*t + 2 = 4*y + 14, 4 = -2*y - i*t. Let o be 4*((-14)\/4 - y). What is the highest common factor of 1 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 9*h**3 - 7*h**2 - 7*h - 18. Let y(i) = 5*i**3 - 4*i**2 - 4*i - 10. Let c(f) = -4*a(f) + 7*y(f). Let v(w) = w**2 - 2. Let l be v(2). Determine c(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1 - -15882) + 2 + -11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2693564?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -465*b**2 + 10*b. Let k(z) = 39*z**2 - z. Give -6*a(m) - 70*k(m).\nAnswer: 60*m**2 + 10*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o**3 - 2*o**2 - o - 3. Let y(f) = 2*f**4 + 277*f**3 + 9248*f**2 + 17691*f + 8721. Let l(p) = 3*a(p) + y(p). Factor l(k).\nAnswer: 2*(k + 1)**2*(k + 66)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -44, -28, -24, -38, -76?\n\"Answer: -v**3 + 23*v - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -55114 (base 6) to base 13\nAnswer: -3601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 + 36256\/5 + -7*108\/630?\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.7, -0.5, -14\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3696)\/(-330) + (-1 - 10)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of -w**4\/2 + 6*w**2 - 31*w. Let r(p) = 15*p**2. Give r(o(a)).\nAnswer: 2160*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1968884159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2558 bigger than 1847?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xetaxetxxxtxtettx. What is prob of sequence eaex?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-181)\/181*2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73348 + 73355 + 73354 + m + 73361 + 73354 - 366772.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 4*h = 78, -8*h + 5*h = 16*l + 111 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 20. Suppose -d*t + 1 + 8 = 0. Suppose -2*q = -5*w - 104, -t*q + w + 122 = 2*w. What is the greatest common divisor of q and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.603 - 0.3.\nAnswer: -0.903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + -1 - (66 - 69).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (158 - 34 + 230)*(31 - 67 + 32)*(2 - 2 - w).\nAnswer: 1416*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 2*p - 96. Suppose -2*j + 2*h = -j - p, 5*h - 14 = -2*j. Suppose 3*d + 6 = j. Solve 0 = -3*y - 2*u - d - 1, 5*y + 21 = 2*u for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 48, 31, -12, -93, -224?\n\"Answer: -2*p**3 - p**2 + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/15*6\/4. What is the fourth biggest value in 2, -0.6, 0.4, t?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3087213 or -3087233?\nAnswer: -3087213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 18607414 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (20 - 620)*(-8760)\/(-9). What is j rounded to the nearest 10000?\nAnswer: -580000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3585 and 76002?\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 485 = -35*p + 1220. Suppose 4*g + 12 = 0, 2*k - 43 = -3*g + 2*g. Let m = k - p. Calculate the smallest common multiple of 24 and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 337\/30 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -173 by -10063.\nAnswer: 173\/10063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fnfn when four letters picked without replacement from nnffffffnfn.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-75)\/(-105)*(-8)\/(-10)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -88 (b) -1\/4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 + 0 - 2)*(0 + 0 + l)*(-2 + 1 + 3) to s*l + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1388 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 4, -0.2, -87, -1 in decreasing order.\nAnswer: 4, -0.2, -0.5, -1, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -86\/9, -0.225, 5, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 24.3 and -2322.\nAnswer: -56424.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*k + 2 = -0, 0 = 5*n + 4*k. Suppose 14*c = 12*c + n*s + 8, 2*s + 4 = -4*c. Sort -1, -2, -3, c in decreasing order.\nAnswer: c, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q - 191 - 134 = 0. Suppose -2*x + 4*t + q + 39 = 0, -4*t = 2*x - 72. Calculate the greatest common factor of x and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/1 + 0 - -2. Suppose 0*h + 3*h = 5*m - 4, -3*m + 6 = p. Is h even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 2*l)*(-2004*l + 852*l + 697*l + 1492*l - 2 + 780*l) as i*l**2 + y*l + k and give i.\nAnswer: -3634","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*b - 22 = 69*b. Suppose -54 = -0*s - 3*s. What is the smallest common multiple of b and s?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*f**2 - 81*f**2 - 81*f**2.\nAnswer: -184*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 32767826 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does -619 = -43\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1767903919?\nAnswer: 37, 47, 1016621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34.38 - -35. Let y = 0.7 - l. Let r = y - 3.08. Which is the second biggest value? (a) 2 (b) r (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/m**(-4\/9))\/m**(-1\/3))**(-2\/57) assuming m is positive.\nAnswer: m**(-50\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 615.4293209 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -110*a**2 - 12*a. Let d(w) = -5829*w**2 - 638*w. Determine 6*d(v) - 319*o(v).\nAnswer: 116*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 30.08, -4, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j - 83*j - 30 = -96. What is the smallest value in 5, -0.1, -4, -3\/2, j?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/4*((-60)\/18 - -8). Let v(z) be the second derivative of -1\/12*z**4 + 0*z**2 + 1\/3*z**3 + 0 + h*z. Solve v(q) = 0 for q.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*p + 2613 = 3008 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1508 + -1477. Solve 32*u - v*u = 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -h**4\/2 + h**3\/3 - h - 648. Suppose 2 = 5*n + 5*p - 3, 4*n + 3*p - 2 = 0. What is o(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 6*j - 5*k - 1050, 254 = j + 3*k. Suppose -17*y - j = -27*y. What is the remainder when 112 is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 20, 9, -4, -19, -36?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -25\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -4. Let h be k\/(1 - -1) + 13. Let a = -2 - 1. Let p(l) = 2*l**2 - 3*l - 3. Let m(d) = 10*d**2 - 14*d - 14. Calculate a*m(v) + h*p(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x - 4. Let h(l) = 17*l + 24. Let m(n) = 5*h(n) + 30*j(n). Let k(s) = 12*s**2. What is k(m(q))?\nAnswer: 300*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v - 14*v + 16 = 0, -5*x = -3*v - 62. Let c(i) = -i**2 + 12*i - 15. What is c(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(1\/6)*r*r**25)\/((r**(4\/13)*r)\/r)**(-34))**46 assuming r is positive.\nAnswer: r**(67505\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2*u - 592, -8*u + 3*u + 1450 = -5*v. Let k = -212 - v. What is the highest common factor of 648 and k?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456434 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1113 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -744 + 765. Let h(w) = -3*w - 2. Let d be h(2). Let f = i + d. Calculate the least common multiple of f and 2.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**2 + 4*u + 2. Let l be j(0). Suppose m - 3 = 0, 5*w - 653 = l*m + 856. Is w a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 4*v = 7. Is v greater than 1\/63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 2 (b) 0 (c) -117 (d) -1\/5 (e) -2.2 (f) 55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -124 (b) 1\/797 (c) 0.3 (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(91) - (((sqrt(91) - -1*sqrt(91)) + sqrt(91))*-3 + sqrt(91))))\/((2*sqrt(1764))\/sqrt(7)).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/5))**(1\/13)\/(j\/(j\/((j*j**(-2)*j)\/j)))**35 assuming j is positive.\nAnswer: j**(2277\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 3:24 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 214 times -14494?\nAnswer: -3101716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 444628*d**4 - 650*d - 1090.\nAnswer: 5335536*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -5*h**2 - 4*h - 1. Let b(v) = -6*v**2 - 3*v - 1. Let m(d) = -6*d**2 - 2*d - 1. Let a(r) = 3*b(r) - 2*m(r). What is -6*a(c) + 7*l(c)?\nAnswer: c**2 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 0)*5*(-2)\/(-360)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i - 12. Let o(f) = 11. Let x = -345 + 347. Let z(h) = x*r(h) + 3*o(h). Determine z(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(19) - sqrt(19)) + 0 - (sqrt(684) + (sqrt(684) + sqrt(684) + sqrt(684)*-1 + sqrt(684))**2))*-5.\nAnswer: 30*sqrt(19) + 13690","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 9:47 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (48\/336)\/((-7)\/(-686)). Solve 0 = -x*n + 3 + 39 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -369.76445 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-338)\/1014)\/(10\/36).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47 + 37. What is the remainder when 159 is divided by 5\/b - (-81)\/2?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 559?\nAnswer: 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*l - 2*i, 0 = l + 6*i - 10*i - 34. Let g(w) = -3*w**3 + 4*w**2 + w. What is g(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/(-12))\/(71\/6). Which is smaller: h or 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5657343 is divided by 131.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of h**3\/3 + h**2\/2 - 16*h - 109. Suppose 0 = q + 4. Let r be j(q). Is r at most as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -59313 and -424?\nAnswer: 58889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than -29024?\nAnswer: -29023.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 262874569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -20*m**6\/27 + 2*m**5\/15 + m**4\/9 - 10. Suppose c(a) = 0. What is a?\nAnswer: -1\/4, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - g**2 + 28391*g + 5. Give z(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8036 is divided by 7942?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 603 and 3555.\nAnswer: 238185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -t + 3, 4*q = -4*t + 11 + 9. Suppose 0 = -1820*p + 1822*p - t. Suppose -f - 1 = 1. Which is the third biggest value? (a) f (b) 4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612)*1 + sqrt(612) + 1 + 0 + (1 + sqrt(612)*2)**2*-6 + -2)*-1.\nAnswer: 132*sqrt(17) + 14695","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.09, -2, -2\/39, -16101?\nAnswer: -16101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -x**2\/2 - x + 12743. Suppose u = 3*b - 13, -2*b + 6 = -5*u - 7. What is h(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -4*h + 1152. Suppose -6*l + 10*l + h = 0. What is l rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/170926931 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2097 + 8307\/4. Let q = z + 867\/44. Is q equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 666 divide 42000178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**3 + q**2 - 16*q - 142. Determine b(-8).\nAnswer: 1074","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.52082 rounded to 2 dps?\nAnswer: 0.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*6\/(-4))\/(7809\/(-255094))*1?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 0) + 10\/5. Suppose -j - 4 = y. Find the common denominator of 5\/4 and ((-113)\/(-25))\/(j\/15).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 86, 120, 154, 188?\nAnswer: 222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/7? (a) -0.1 (b) -0.3 (c) 3\/7 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v - 3*f - 26, -18734 + 18705 = 5*v + 3*f for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -103*c**3 - c**2 + 237*c - 188652 with respect to c.\nAnswer: -309*c**2 - 2*c + 237","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjwvjjwwwjjvwjj. Give prob of picking 3 j.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a**3 - 4*a**3 + 4*a**3 + 0*a**3.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22596 is divided by 22567?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 444, 12511, 45272, 109077, 214276, 371219?\nAnswer: 590256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44 and 280?\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 54 = -2*f, 0 = 5*n - 0 + 10. Let k = 30 - f. What is the highest common factor of 15 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -4*f - 1, -7*f - 141 = m - 143 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that k**5\/9 - 5*k**4\/3 - k**3\/9 + 515*k**2\/9 - 500\/9 = 0.\nAnswer: -5, -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*a + 280 = 16*a. Factor -4*s**3 - s**3 + 3*s**2 - a*s**3 + 5*s**2 + 4*s**5 + 0*s**3.\nAnswer: 4*s**2*(s - 1)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 257445111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v - 2*v + 0*v. Let t(r) be the third derivative of r**6\/720 + r**4\/12 - 2*r**2. Let d(w) be the second derivative of t(w). What is 3*d(f) + 2*p(f)?\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -16*b**2 + 8*b - 3. Let o(s) = 11*s**2 - 5*s + 2. Let g(f) = -8*o(f) - 5*z(f). Let n be (-18)\/14 - 10\/(-35). Give g(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**2 + 3778*o - 3777 = 0.\nAnswer: 1, 3777","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003831152043 to 6 decimal places.\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 650*c + 5223. What is the remainder when 31049 is divided by q(-8)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -172c + -176d6?\nAnswer: -19024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from efeueeuff. What is prob of sequence ffe?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1153 is divided by 169.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1053124 and -17?\nAnswer: -17903108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12\/(-5))\/((-130)\/325). Let i(d) = d**3 + d**2 - 1. Let a(l) = -3*l**3 + 6*l**2 - l - 5. Determine b*i(w) - a(w).\nAnswer: 9*w**3 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of 7*u**3\/3 + 27*u**2 + 726*u + 68. Let v(m) = -2*m**2 + 1. Let f(d) = 12*v(d) + 4*y(d). Determine k so that f(k) = 0.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(-10)\/(-6)*-3. Suppose 2 = -o*j + 4*j - 3*k, -4*j - 2*k + 42 = 0. Solve b + 2*x + j = 0, 2 - 14 = 3*x for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(1\/1))\/((-8)\/2)*-2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 29557 times -4591\nAnswer: -135696187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 222553149?\nAnswer: 2002978341","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71953613?\nAnswer: 83, 419, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18866 is divided by 199.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22844 and 122598037?\nAnswer: 5711","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 7.13. Let d be 3*((-45)\/(-24) - 2). Sort d, 0, o in increasing order.\nAnswer: d, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 11. Let u = a + 1. Suppose u*l + 35 = 7*l. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 + 2352078*m - 2352075.\nAnswer: -3*(m - 784025)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 1:59 PM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 11*x - 12. Let l be n(9). Let k be 57\/21 + l\/21. Put -2, 5, k in increasing order.\nAnswer: -2, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -7*v + 9. Let z(q) = -84*q + 105. Let a(k) = 35*j(k) - 3*z(k). Determine a(-3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2287 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of s**4\/12 - 10*s**3\/3 - 7*s**2. Let r be m(17). Suppose -30*y - 4*y**2 - 2*y**3 + r*y + 16*y + 2*y**4 = 0. What is y?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -6. Calculate the least common multiple of 1 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-22) - 66\/(-363). Let s(f) = 2*f**2 + 14*f - 13. Let k be s(-10). Let h = k - 42. Solve h*t - 3*b = -24, x = -t + 5*t - 3*b + 21 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -252, -5, 2\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 1 = -7. Let s(t) = 2*t**x - t**2 + 2*t + t - 3. What is the remainder when s(4) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1.484542 kilograms?\nAnswer: 1484542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.542299697 to 4 dps.\nAnswer: -0.5423","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 a when two letters picked without replacement from {m: 3, g: 1, a: 2, y: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 6. Let c(b) = -6*b + 3. What is the units digit of c(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + (-10)\/4)*-6. Let t = 0.6 - -4.4. Which is the second smallest value? (a) -1\/3 (b) j (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.22515 to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (43 - (-3 - -2) - (3 - 0)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**1)**(-17)*((p**(-5\/3)*p)\/p)\/((p*p**(-1\/3)*p*p*p*p)\/p)*(p**(2\/7)\/p)**(2\/37)\/(p*p\/((p**2\/p)\/p)*p\/p**(3\/2)) assuming p is positive.\nAnswer: p**(-63515\/1554)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -257*q**2 - 2 - 4*q**3 + 255*q**2 - 2*q + 1. Let f be j(-1). Solve -o + 4 = i, 2*o - f*i + 3 + 14 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, g: 3, v: 1, a: 4}. Give prob of picking 1 v and 1 x.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -2, 0.4, 1.755?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 7 + 0)*(-2*y + 3*y - 2*y) as z*y + m and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 6*y**2 - 3*y - 5. Let m be d(5). What is the greatest common factor of 25 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 846 is divided by 116?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1195 - -2078. Suppose 18*m - 1223 = t. What is the highest common divisor of 18 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 29\/(-2) + 2\/4. Let y = z + 20. Calculate the greatest common divisor of 9 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81645750 divided by 81645750\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 + -9c55?\nAnswer: -9c49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -396, -1604, -3636, -6498, -10196, -14736, -20124, -26366?\n\"Answer: -a**3 - 406*a**2 + 17*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(1900))*6*6 - (3 + (1 + sqrt(1900) - sqrt(1900))*2))**2 + 2.\nAnswer: 48240*sqrt(19) + 2466891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**2 + 5*c**2 - 8*c**2 - c**2 + c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 1169*j**2 + 28633*j - 95. Give s(24).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 157623 to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3*a = -u + 33, -5*a + 33 = 3*u. Suppose u*x - 1233 = -69. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 160045, 160048, 160053, 160060, 160069, 160080?\nAnswer: 160093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38696*x**4 + 6*x**2 - 728301*x.\nAnswer: -464352*x**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 15*p**3 - 9*p**2 + 116*p - 8. Let f(w) = -3*w**3 + 2*w**2 - 29*w + 2. What is -9*f(j) - 2*t(j)?\nAnswer: -3*j**3 + 29*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -5. Let o be (0\/(-8))\/(r - -2). Solve q - 6 = 4*y - 2, o = -3*q + 2*y + 2 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of f**4\/12 + 7*f**3\/3 + 5*f**2\/2 - 9*f + 16. Give w(-15).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*g**3 + 1 + (8*g**2 - 2*g**2 + 7*g**2)*(-5*g + g + 0*g) + (56 + 21 + 46 - 24)*(-g**3 + 0*g**3 + 3*g**3).\nAnswer: 148*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/1 - (-12 + 162\/24). Let w(m) = -m**2 + 7*m + 2. Let q = -6 + 13. Let k be w(q). What is the third biggest value in i, k, 2\/7, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.12? (a) 0.3 (b) -5 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.03 rounded to 1 decimal place?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1404274.5700094 - 1404275. Let k = -2264.43 - -2264. Let f = k - u. Round f to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.2+-1.11\nAnswer: 5.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, -3\/17, -4, 1\/3?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -3a2?\nAnswer: -3a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**3 - 12803*y**2 + 40972800*y + 40985604 = 0.\nAnswer: -1, 6402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11983188*d**3 + 679891*d?\nAnswer: -71899128*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283593 is divided by 2909.\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1)**30*i**(2\/5)*i**(-6)*(i**(-2)\/i*i*i*i*i*i**(-1\/3)*i*i*i)\/(i*i**(-1\/2))**34 assuming i is positive.\nAnswer: i**(166\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 424 = -h, -4*v - 130*h + 128*h + 552 = 0. What is the remainder when v is divided by 134?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 71902331 = 2246085. Let y = r + -12537104. Round y to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z**3 + 5*z**2 - z - 3. Let p = -20 + 14. Let b = 1 - p. Let y(l) = 6*l**3 + 7*l**2 - l - 4. Calculate b*w(o) - 5*y(o).\nAnswer: -2*o**3 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 201 + -218.3. Let r = 16 + d. Let l = r + 1.2. Which is the nearest to l? (a) -5 (b) -0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44816428 or -44816425?\nAnswer: -44816428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 34 = -x. What is the least common multiple of 8 and x?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 12*i - 19. Let z be f(13). Let g be ((-1287)\/(-135))\/(-13) + (-2)\/z. Let n be (3\/2)\/((-10)\/(-20)). Sort n, 2\/27, g in descending order.\nAnswer: n, 2\/27, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*s, -3*x + 3*s + 15576 = 2505. Suppose 3*v + 2*v = x. Suppose 3*r = -3*l + l + v, l + 5*r = 418. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) + 1)*-4)**2.\nAnswer: 160*sqrt(7) + 2816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + y**2 + 5. Let v be o(0). Let x(a) = -a + 8*a - v*a + 0*a. Let s(t) be the third derivative of t**4\/12 - 4*t**2. Calculate s(x(n)).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/44840 and 99\/424042?\nAnswer: 500369560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 183446 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/18 + (-80)\/(-360)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*a**3\/7 - 18*a**2\/7 - 12*a\/7 - 2\/7 = 0. Calculate a.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, 7, -2, -3, 5 in descending order.\nAnswer: 43, 7, 5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*f + 20*f + 16*f + (2*f + f - f)*(-4 + 1 + 1) + (-1 + 0 + 5)*(-2*f - 3*f + 6*f))*(-3*f**2 + f**2 + f**2)*(-1 + 2 + 1)*(1 - 1 + 2).\nAnswer: -228*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -1\/2*c**3 - 2*c**2 + 1\/20*c**5 - 1\/8*c**4 + 0*c + 1\/40*c**6 + 0. Factor w(l).\nAnswer: 3*(l - 1)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 27, 2\/11, 1\/6, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**3\/7 - 45092*i**2\/7 + 90192*i\/7 = 0?\nAnswer: -22548, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000950205 to five decimal places.\nAnswer: 0.00095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 3:07 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/4*0\/(-18). Let m(l) = 4*l**2 + 2*l**3 - 3*l**3 + 37 - 3*l**2 - 2*l. What is the remainder when 147 is divided by m(q)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2554476233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 14*o - 11. Suppose 9*x = 225 - 36. Let h = x + -29. Is z(h) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 - -28. What is the smallest common multiple of y and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 11*z**3 + 8*z**2 - 27*z + 57. Calculate the remainder when 1825 is divided by n(2).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1898?\nAnswer: 2, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 418 and 9196.\nAnswer: 9196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -83 + 81.4. Let o = 1.6 + 2. Let i = l + o. Which is the second biggest value? (a) 0.5 (b) 0.1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 - 185 - 559*g + 560*g to the form m + j*g and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2890?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-23 + 17 - 12)*(-5 + 9*a + 5) - 5*a + 0*a + 4*a)*(2*a**3 + 3*a**3 - 4*a**3) to l*a**4 + t*a**3 + x*a + s*a**2 + b and give l.\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 382 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of b**6\/40 + 9*b**5\/10 + 10*b**4 - 639*b**2. Factor g(t).\nAnswer: 3*t*(t + 8)*(t + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 442060 and 208?\nAnswer: 22987120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -475*x - 2128*x - 1648*x + 204*x in the form c + t*x and give t.\nAnswer: -4047","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -429.3 + 434.3. What is the second smallest value in -5, -3, u, -607?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwcwwpwwwww. Give prob of sequence cp.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9641745 is divided by 4820867.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 1517429 and 1517428 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -813 = -4*z - 377. What is the remainder when 178 is divided by z?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -156, 38, -3, -13\/11, 1\/11?\nAnswer: -13\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 783660 to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3b7 - -1?\nAnswer: -3b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + 24. Let u(x) = -x**3 + 4*x**2 - 3*x - 19. Let i be u(f). Is -58 bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 208445 and 208445 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2043*p + 1271*p - 2818*p.\nAnswer: 496*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 40 = -4*h, 4*j - 8*h = -7*h - 34. What is the lowest common multiple of 20 and 20\/3*(11 + j)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 11*j - 10. Let b be i(8). Suppose b = 4*v - 3*v. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -4*v - 20, 4*s - 5 = -v + 32. Let z(r) = -r + 14. Let h be z(10). Suppose 3*j - 5 - h = 0. What is the remainder when s is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 638\/2193 - 184709\/315792. Calculate the common denominator of 53\/24 and q.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*h = -4, -h - 1 = -5*i + h. What is the smallest common multiple of 10 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3 - 28145014*h**2 - 56290034*h - 28145018.\nAnswer: 2*(h - 14072509)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 210020 (base 4) in base 9?\nAnswer: 3148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*sqrt(72) + 2*((sqrt(6)\/sqrt(3)*-2 - sqrt(2)) + sqrt(198)\/sqrt(11) + sqrt(2)))**2.\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 times 1?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/4 + 3038\/980.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkau when four letters picked without replacement from {a: 6, k: 4, u: 1, m: 5}.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 69\/(-21) + 4\/14. Let d(p) be the third derivative of p**5\/60 - p**4\/24 + p**3\/6 - p**2 - 12*p. Let c(k) = -2*k**2 + 5*k - 5. Determine o*d(l) - c(l).\nAnswer: -l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -0*h. Suppose -3*l = -h*u + u - 74, -5*u - 105 = -4*l. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 4*i**3 - i**2 + 3*i + 6. Let c(f) = 5*f**3 - 2*f**2 + 4*f + 7. Calculate -6*c(z) + 7*l(z).\nAnswer: -2*z**3 + 5*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 7) in base 14?\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*i*n + 6*i - 7070*n + 1882 wrt n?\nAnswer: 4*i - 7070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 2 - 5. Let t be n\/6 + 151\/2. What is the greatest common factor of 15 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 4:41 AM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**3 - 137*o**2 - 987*o - 4382. Determine y(-61).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03222481 rounded to 5 decimal places?\nAnswer: 0.03222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyckcycyyccc. Give prob of picking 3 y.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttjtttjtttttjtjtttt. What is prob of picking 3 j and 1 t?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 4*p**2 - 3*p - 9. Suppose 0 = -u - 8 + 4. Calculate the smallest common multiple of f(u) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1440 = 8*r - 0. Let q = -550 + 639. Calculate the remainder when r is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001210 divided by 7?\nAnswer: -143030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14590 + -9439. Does 89 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 16*c - 18*c - 5*p, -4*c + 33 = -p. Is ((6\/1)\/(-2))\/(c\/(-2757)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a + 10. Let m be (-42)\/(-3) + -6 - 9\/3. Suppose -v = m*y - 10*y - 3, 0 = 5*v + 5*y + 75. What is z(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, z: 2}. Give prob of sequence zww.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssg. What is prob of sequence gsss?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 255 and 136.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 12*u - 25. Let d be j(2). Let a = -2352\/17 + 63844\/459. Find the common denominator of 3 + -6 - (295\/(-60) + d) and a.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((6 - -2) + 2)*1. Let c(o) = 6*o**2 + 12*o + 22. Suppose -24 = 207*k - 201*k. Let q be c(k). Calculate the greatest common factor of w and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 + 87\/(-18))*(-50)\/(-5)*-3. Let h(d) = -6 - 6*d + 0*d + 3 - d**2. Let k be h(p). Solve c = 2*w + 1, 0*c - 2*c + 14 = k*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3*(0 + sqrt(17)) + sqrt(17) - (sqrt(2448) + 4 + sqrt(2448))).\nAnswer: -20*sqrt(17) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11477 and 156187?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8, 19, 34, 53, 76?\n\"Answer: 2*b**2 + 5*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4995, 9990, 14985, 19980, 24975?\n\"Answer: 4995*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -24260*j**2*m - 10*j*m**2 + 88759*m**2 + 1 wrt j?\nAnswer: -48520*j*m - 10*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.02 - 4.98. Let b = u + 14. Let w = b + -14. What is the nearest to 1 in w, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8 and -3883238252?\nAnswer: 3883238244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, -37, 1\/2 in decreasing order.\nAnswer: 1\/2, -4\/7, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/105 + (-4736)\/(-18870)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97969*n**5 - 9696427*n**4 - 19939649*n**3 - 10399757*n**2 - 256120*n - 1616 = 0.\nAnswer: -1, -4\/313, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1412816 - -239299\nAnswer: 1652115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -251220 divided by -316?\nAnswer: 795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17837134 >= 17837133?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/33)\/(300\/275).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/1260*90*-63?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 + 36. Let a(m) = m**2 - m - 2. Let v(h) = 4*h**2 - 3*h + 3. Let p(o) = 3*a(o) + v(o). Let g(b) = 15*b**2 - 13*b - 7. What is s*p(q) - 6*g(q)?\nAnswer: q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.3 (b) 170 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -37\/18 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c = -17*c - 64 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 100 or 96?\nAnswer: 100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c - 1. Let x be z(1). Let a(u) = u**2 - u. Let n(d) = d**2 + 5*d + 2. Let h(f) = 4*a(f) + n(f). What is the units digit of h(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.322 * 7.4.\nAnswer: -2.3828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/15, 0.4, 1.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 5*i + 177 = 0, -3*u - 4*i + 275 = -6*i. Suppose 10524 = 5*j - u. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of b**6\/120 + 11*b**5\/60 + 5*b**4\/8 - 11*b**3\/3 + 106*b**2. Let f be u(-9). Sort -4, f, 21, -5 in descending order.\nAnswer: 21, f, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -75, -321, -773, -1455, -2391?\n\"Answer: -4*a**3 - 79*a**2 + 19*a - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 g when four letters picked without replacement from xxggxgggxg?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (87 - ((3 - (25 + -12)) + 19)).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -46*o - 32*o + 390 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 433272 to the nearest integer?\nAnswer: 658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 36.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122, -257, -392?\nAnswer: -527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-110)\/(-297))\/(-2)*(-12)\/(-15)*(-12)\/(-48)\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (637\/(-147))\/((1\/(-2))\/((-6)\/4))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 357 - 392.8. Let x = 35.79896 + q. Round x to four decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 529538 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0)**(-2\/83))**(-42)\/(b**(-1\/4)\/b*b**(2\/19)*b)**0 assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -78 + 82. Suppose -2*k + 4*o - 5*o = -29, 0 = h*k - 2*o - 38. Calculate the remainder when 57 is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-861)\/153 - (-15 - 17641\/(-1173)).\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 309 - 26 + 77 = 20*o. Let s(t) = t**3 - 19*t**2 + 19*t - 16. Determine s(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b**3 + 5*b**3 - 3*b**3 + (-1 - 2 + 4)*(28*b**3 + 201 - 201))*(0*b + b - 3*b) to j*b**3 + t*b + i*b**2 + z + g*b**4 and give g.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70252, -82590, -103154, -131944?\nAnswer: -168960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108334 is divided by 183.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10*-21*((-348)\/(-140) - 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ega when three letters picked without replacement from {a: 4, e: 3, x: 3, g: 1}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 112177168 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a0 + 1?\nAnswer: -9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + u - 8. Let j(r) = -3*r**2 - 8*r - 5. Let b be j(-5). Let y be 70\/b*(3 - -1). What are the prime factors of t(y)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5571677 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 2. Let j(f) = f**2 + f - 6. Let a be j(5). Suppose -p = 2*p - a. What is the greatest common factor of k and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 115 + -137. Let g = 22 + m. Sort 4\/5, -7, 1, g.\nAnswer: -7, g, 4\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1084177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/3*(-1400)\/1600*(-80)\/28?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 868140 is divided by 868083.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -261900 (b) 19 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3748*f - 8553. Calculate x(-3).\nAnswer: 2691","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*j**3 - 80*j + 10*j**3 - 17*j**3 + 50*j**5 wrt j.\nAnswer: 1000*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 207.\nAnswer: 2\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 3*q - 45 = 0, -109*w = -178*w + 2*q - q - 2361 + 913 for w.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.138027 and 0.5.\nAnswer: -0.0690135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/15*10\/(-2)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.7835 and -4682.\nAnswer: -4682.7835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 z, and 1 f when three letters picked without replacement from {t: 3, f: 3, b: 5, r: 1, w: 1, z: 1}?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of f**4\/12 + f**3\/6 + 2*f**2. Let r be q(2). What is the units digit of r\/4 + 6\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + o + 2*o)*(1 - 2 - 1)*(-2*o + 0*o + 4*o)*(12 - 12 - 12*o).\nAnswer: 48*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -h**2 + 37*h - 102 = 0.\nAnswer: 3, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9 (b) -1\/7 (c) -0.0068344\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.088869 times 0.5?\nAnswer: -0.5444345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3770607 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23417?\nAnswer: 23417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21354918 and 4106715?\nAnswer: 106774590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 5*d - 3. Let m be t(3). Suppose m*n + 8 = 4*y, -2*n = 3*n. Sort 1, y, -3 in decreasing order.\nAnswer: y, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, -1\/2, 2\/15, 1, -12\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -443262, -886396, -1329530, -1772664, -2215798?\nAnswer: -2658932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 3*l + 3021 - 2941 = 0, -d - 186*l + 3724 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 55122340 a multiple of 1612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 69*l + 9. Let h(q) = 228*q + 30. Let z(u) = -10*h(u) + 33*w(u). Let x(n) = 103*n. What is x(z(r))?\nAnswer: -309*r - 309","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-836)\/1045 - (-78)\/10. Solve -j*a = -6*a - 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-30))\/((-521)\/(1297290\/332))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/(-4)*(-4)\/(-35). Suppose 3*z = 4*h - 1, -19*h - 7 = -20*h + 3*z. Which is the closest to n? (a) h (b) -2\/15 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j = 12*j + 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aeajajan. What is prob of sequence jn?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 49434 (b) 23 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-10)*b*b*b)\/(b*b\/b**12)*(b*b**(1\/12)*b*b*b)\/(b\/(b*b**(7\/2)*b*b*b*b)) assuming b is positive.\nAnswer: b**(175\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1246042 is divided by 36647.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((972\/225)\/12)\/(1*4\/(-20)).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of -q**4\/4 - q**3\/3 - 3*q**2\/2 - 2*q - 4. Let g be h(-3). Which is smaller: g or 26?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 6*y = -196. Let b = -32 - y. Is b a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 224 + -199. Let x = w + -21.72. Round x to one decimal place.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 131 + 20?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43 + -31. Calculate the greatest common factor of 36 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (22*s**2 - 30*s**2 + 14*s**2 + (2*s**2 - 4*s + 4*s)*(2 + 1 - 2))*(-2 + 12 + 3) in the form a*s + u + t*s**2 and give t.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9577890?\nAnswer: 2, 3, 5, 7, 23, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 440 by -11.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 240100 - -12?\nAnswer: 240112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 80627 from -6.35.\nAnswer: -80633.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-22) - (-310)\/(-110))\/(-1). Suppose -6*p + f*x = -9*p + 561, -2*x = 4*p - 738. What are the prime factors of p?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - 2 - (-1)\/1. Suppose -c = -b*c - v - 26, 0 = 5*c + 3*v - 146. Let o = 44 - c. Is o a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 637.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*f + 96*f - 46*f + 120*f**3 - 121*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, h: 15}. What is prob of picking 4 y?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 4*w**2 + 3*w - 6. Let k be n(-3). Let q = k + 11. Suppose -74 = -4*z + x + 117, q = 5*x. Calculate the lowest common multiple of 9 and z.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188787 = 2928*c - 24819 for c.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -4*m**5 + 32924*m**4 - 3635940*m**3 - 11138348*m**2 - 7469480*m = 0?\nAnswer: -2, -1, 0, 115, 8119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -17*v - 114 - 6 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*d + 1739 = 1527. Let w(i) be the second derivative of 0*i**3 + 0 + 4\/7*i**2 + d*i - 1\/14*i**4 - 1\/70*i**5. Let w(k) = 0. What is k?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 - (28\/(-7) + -4364).\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + -2 - 1\/2. Let h(d) be the second derivative of -d**4\/12 - 11*d**3\/6 - 14*d**2 + 3*d. Let a be h(-8). Sort 0, a, p in ascending order.\nAnswer: a, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 a when four letters picked without replacement from aaaaaaaaaaabaaaaaa?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 179*p**2 - 103*p + 21. Let t(l) = -36*l**2 + 19*l - 4. Give -16*t(g) - 3*y(g).\nAnswer: 39*g**2 + 5*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 167, 164, 161, 158, 155, 152?\n\"Answer: -3*h + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3353689.\nAnswer: 127, 26407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -441*o**2 + 48*o + 2. Let i(p) = 882*p**2 - 94*p - 3. Let u = -184 + 194. Let y(m) = u*t(m) + 6*i(m). Suppose y(d) = 0. Calculate d.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2463 - 17247\/7. Which is the biggest value? (a) 2\/9 (b) k (c) 2\/3 (d) -5 (e) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -329 - -355. Calculate the greatest common factor of 13 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 - 22. Let v be 6\/(r\/680*(-35)\/(-14)). Let b = 1863 - v. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 13*w + 11. Let h be y(-5). Let l = h - -56. Suppose -7*g + 50 = -l*g. Calculate the remainder when 57 is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -16. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 3*p. Calculate the smallest common multiple of 2\/(-2) + (p - -5) and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 14*d**3 - d**2 + 1. Determine f(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjgg. What is prob of sequence jgj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2466 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 61001 rounded to the nearest 1000?\nAnswer: 61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 531.9 take away 154137826?\nAnswer: -154137294.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1044024600 by -60.\nAnswer: -17400410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(-5)\/m))\/(m\/(m*m**(-2))))\/(m**(-1\/4)*m)**49 assuming m is positive.\nAnswer: m**(-127\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/9)\/f)\/f**(-2\/9)*(f\/(f*f**(-3\/5)))\/(f\/((f**6\/f*f*f)\/f)*f))**(-4\/35) assuming f is positive.\nAnswer: f**(-104\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -0*b - 4*c + 152, -4*b - 156 = -5*c. Let r = -88 + 21. Let x = b - r. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-30))\/(((-4)\/(-50))\/((-924)\/(-385))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 10*b**2 - 3 - 9 + 4*b)*(0*b + 3*b - 4*b).\nAnswer: 10*b**3 - 4*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -0*z. Let a be 8 + -3 + 1 + z. Suppose -a*l - 4*u = -l - 135, -180 = -5*l + 5*u. Is 12 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(76) + 3 - (-1*sqrt(76)*2 + sqrt(76))) + 4)**2.\nAnswer: -28*sqrt(19) + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 - -9 - (1 - 2). Suppose -76 = 2*g - c*g. Let k = 24 + g. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 9 = -0*x. Let r(o) = 2*o**2 - 2*o - 1. Let v be r(x). Solve 0*m + 20 = 5*m + 5*p, 3*m = -4*p + v for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 189607301?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6875 divided by -6288\nAnswer: -6875\/6288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 27\/(-3) + 3 + (5 - 7). Let y = -4 - 4. What are the prime factors of (-2)\/u + (-230)\/y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 4*r**2 - r + 1. Let v be p(-4). Determine q, given that -4*q + 44*q + 46 - v*q**2 - 126 = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q - 5*g - 10 = 5*q, -6*g = 5*q - 32 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0085 - 97.3085. Let o = -23.7 + f. Let g = -121.0005 - o. What is g rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1421794*v**5 + v**4 + 33374*v**2 - 11?\nAnswer: 85307640*v**2 + 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 2)\/((-168)\/(-126)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -195, -343, -493, -645, -799?\nAnswer: -955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1085528\/40 + (-5)\/((-275)\/44) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 3 (c) -0.3 (d) -23 (e) -4\/9 (f) 7 (g) 26\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -26, -48, -90, -158, -258, -396, -578?\nAnswer: -810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hnhiliolhhon. What is prob of sequence nil?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - ((-2 + 5 - 3) + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of p**5\/60 - 380*p**2 + 2*p. Let t(g) be the first derivative of -5*g**2 + 1. Give t(l(y)).\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 1 - (2 - 7 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 324371*q**4 + 827810*q.\nAnswer: 3892452*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285 = -5*a + 5*r, 14*r = -4*a + 10*r + 220. Calculate the remainder when a is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three quarters of a meter?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -10737.09 + 10792. Let i = 55 - d. Let w = -3 + 2. Is w != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w - 11. Let l be r(-12). Let x be (-24)\/(-6) + l*2. Solve 4*y + x = y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1216301.4 rounded to the nearest ten thousand?\nAnswer: -1220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -6. Suppose 5*w + 3*h = -0*w + 71, 0 = o*w - 5*h - 47. Let r = w + -13. Solve -1 - r = 4*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -6*h**2 - 4*h - 33. Let q(i) = -7*i**2 - 5*i - 27. Determine 6*k(a) - 5*q(a).\nAnswer: -a**2 + a - 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -113*m + 4511. Determine n(40).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w - 16. Give x(7).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from ljljl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -7*m - 160. Let a(z) = -13*z - 354. Determine -3*a(g) + 5*s(g).\nAnswer: 4*g + 262","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 23 + -4 + (2 - 0). Let c be 70\/y*3\/2. Suppose -n + 3 = -5*r + 6, 5*r = c. Which is smaller: 3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -0*r - 4*r. Let p = r + -13. Is p at least 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 88472.\nAnswer: 1\/88472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-20)\/(-6)*276\/(-8). What is the common denominator of 1 - (-9)\/4*-9 and (9\/(-10))\/(12\/w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -921*f + 23187 = -14574 for f.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1243444651?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11717 - -12857. Calculate the lowest common multiple of n and 1900.\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1894431.\nAnswer: 3, 7, 11, 59, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of q**4 + 9*q - 204 wrt q?\nAnswer: 4*q**3 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22.77 - 23. Let h = -5.23 - u. What is the second smallest value in -2, 5, h, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3855, -7619, -11385, -15153, -18923, -22695, -26469?\nAnswer: -30245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, -27, 2, 3.\nAnswer: -27, 5\/3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = 4*j - 4*d, j - 25 = 5653*d - 5655*d for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*r*y**3 + 18*r*y + 1603*r + 28374*y**3 - 45 wrt y.\nAnswer: -15*r*y**2 + 18*r + 85122*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26853 rounded to two dps?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2 + 55*i + 337. Let t be r(-19). Solve -3*k = c - t, 2*k - 21 = c - 20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-51)\/34 + ((-1278)\/(-4) - 2)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-5 + -8 + 15 + -10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4632.7 and -482?\nAnswer: 2232961.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2479.29488294 and -852.\nAnswer: 1627.29488294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -26. Let t = -20 - o. Let c(n) = -n + 2. Give c(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 5 = 0, -2*o + 14*h + 100 = 12*h. What is the remainder when o is divided by 3 + (1 + 0)*23?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 215368*l. Let k be u(1). Let d = k - 110368. What is d rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2\/5 + 726*v\/5.\nAnswer: 3*v*(v + 242)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 126 + -126. Suppose 1 = -s*d - d, -137 = -m - d. What are the prime factors of m?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a - 4*i - 4, 28*a - 20*a = -5*i - 42 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -4. Suppose -w*k = -0*k - 7*k. Suppose -3*x + 6*x - 9 = k. Let b(c) = 4*c + 4. Calculate b(x).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -22*t. Let w(n) = -111*n. Give w(c(m)).\nAnswer: 2442*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4597081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 9*p**2 + 9*p + 29. List the prime factors of v(10).\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 426*p**5 + 412*p**2.\nAnswer: 25560*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -22.7 times 8.54\nAnswer: -193.858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*s - 5*s - 19*s - 23*s - 3*s**2 + 943 to k*s + q + a*s**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 496 and 89432.\nAnswer: 89928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m - 21. Let a be r(-9). Let f = 44 + a. Solve 0*x = -f*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -160382.27 to the nearest 100.\nAnswer: -160400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o - 14*o - t - 12432 = 0, -3*t = 5*o - 62176. List the prime factors of o.\nAnswer: 2, 6217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 323516 = 58*z + 321602 for z.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 606 = -4*g, g - 3*w - 162 = w. Suppose o = -o + g. Let a = o + -46. Calculate the remainder when a is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65257.64ug in grams?\nAnswer: 0.06525764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -23975 - 2ec?\nAnswer: -23c61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i + 1. Let z be v(-4). Suppose -2*r - z = -7*r. What is the derivative of 3*l - r + 5*l - 5*l - 1 wrt l?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245)*-1*-6 - ((0 + sqrt(245))*-6 + sqrt(245))) + 1 + 2.\nAnswer: 3 + 77*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b**2 - 3*b + 2. Let j be l(-5). Let r = 219 - j. What is the tens digit of r\/2 - (-9)\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(81) - (sqrt(81) - sqrt(81)*-2) - sqrt(81) - sqrt(81))*-6)\/((1*sqrt(108))\/sqrt(12)))\/(5*(1*sqrt(3600))\/sqrt(12)).\nAnswer: 12*sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7852665 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(16\/7))**(-2\/83))**(-27) assuming j is positive.\nAnswer: j**(864\/581)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 432 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 233 = y - 228, -3*v = -5*y - 17 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 476538107.\nAnswer: 19, 31, 809063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4428)\/(-6888))\/((-3)\/(-2)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 37\/23297125?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n**2 - n**2 + 4*n**2)*(-46*n - 26*n + 29*n)*(-1 + 0 + 2) to d*n**3 + j + f*n + r*n**2 and give d.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 814669423.\nAnswer: 683, 1192781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1954139 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 25, 32, 33, 22, -7, -60, -143?\nAnswer: -262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1\/w)**(-14\/5)\/((w*((w\/(w\/(w*w**5*w))*w)\/w)\/w)\/(w\/(w*w**(-3\/7)\/w)))*(((((w\/(w\/(w**1*w))*w*w)\/w)\/w)\/w)**(-13\/6))**8 assuming w is positive.\nAnswer: w**(-481\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 5628.895 decades?\nAnswer: 562.8895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4274581 to the power of 1\/3, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 + 3.9. Let w = 11327\/16 - 707. Let m = w + -107\/80. What is the closest to m in k, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22 + 1222?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 h when two letters picked without replacement from {s: 1, h: 4, a: 5, d: 4, f: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1341751?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 15. Let y(x) = 47*x - 16*x + 8*x**2 - 15*x - 21*x. Let q(j) = -12*j**2 + 7*j. Calculate v*y(g) - 5*q(g).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1390 - 5593\/4. Calculate the common denominator of 59\/2 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -2c65b?\nAnswer: -2c662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(121)*5*6)\/((-2*sqrt(77)*-1)\/(1*sqrt(847))).\nAnswer: 1650*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 18*z + 16*z + 9 = 0, 3*t + 38 = 5*z for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -332*(-144)\/64 - 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -570*w**3 - 115*w**3 + 88*w**3 - 427*w**3.\nAnswer: -1024*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llltbbbltltltbblb. Give prob of picking 2 b and 1 l.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/17? (a) -4 (b) -6 (c) 6 (d) -12.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/7 of a week in hours?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 103, 221, 385, 595, 851?\nAnswer: 1153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 9:11 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10375 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 + 24. Let y(j) = 2*j + 14. Let k be y(z). Suppose 12*l - 126 = -k*l. Calculate the remainder when 12 is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 56693?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 2*a - 2. Let y be d(-4). Let i be (135\/75)\/(y\/20). Let x be (i - 13)*3\/(-7). Solve -9 = 3*w + x*t, 4*w + 17 = t - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2559?\nAnswer: 3, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24286, 48572, 72858, 97144?\nAnswer: 121430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-725)\/(-290))\/(5*2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 15943.\nAnswer: 2\/15943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -3320?\nAnswer: -3311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47 by 8.\nAnswer: 47\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7760 divided by -5.\nAnswer: 1552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 61797559 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 5158*i**2. Let h(m) = -2*m**2 - 236. Determine h(z(a)).\nAnswer: -53209928*a**4 - 236","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qyyqbyyyufaqyfq. Give prob of sequence ay.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46586 - -25257. Is 4\/(-26) + k\/(-143) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2826)\/157*4\/(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 433 and 92764621.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from joooowwojoojowjowoj. What is prob of picking 4 j?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z + 3. Let d be b(4). Suppose -2*a = -d - 9. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 1, -5\/6, -3?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from ixwxzwxxiwzixxx?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 7*z - 10. Let m be p(-3). Suppose -3*q = -15, 2*q + 0*q - 14 = m*u. Let g be u\/(1 + 12\/8). Which is bigger: g or -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/4160 and 139\/8660470.\nAnswer: 277135040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 4*v + 17 = 0, -31 = 5*d + 3*v - 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26.94 + -27.24. Which is the closest to -2.7? (a) s (b) -0.8 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 3, -5, -0.03, -0.05 in increasing order.\nAnswer: -5, -0.4, -0.05, -0.03, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**5 - 21140*m**4 - 63492*m**3 + 570824*m**2 + 1247554*m + 634380 = 0. What is m?\nAnswer: -6, -1, 5, 10573","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 15) in base 2?\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -r**6\/120 - r**5\/10 - 5*r**4\/48 + 19*r**3\/12 - 3*r**2 - 393*r. Let k(q) = 0. What is q?\nAnswer: -6, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/9 and -4.604 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.054 + 53.054. Let n = w + -53.000084. Round n to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 (base 13) in base 5?\nAnswer: 3033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -404*d**2*i**3 - 3*d**2*i**2 + 2*d**2 + 3142*i wrt i?\nAnswer: -2424*d**2*i - 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36011, -35911, -35765, -35549, -35239, -34811, -34241, -33505?\nAnswer: -32579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-2) + (-6)\/15)\/((-140)\/1400).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 9:05 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*a - 1080239*a**2 + 73*a + 1079908*a**2.\nAnswer: -331*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 7 = -2*y. Let x be (9\/y)\/(6\/(-20)). Solve -4*l = 11 + x for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -16*p**3 + 28*p**2 + 133*p - 35. Let u be l(27). Round u to the nearest 1000.\nAnswer: -291000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 991\/1408 + 3\/128. Let m = w + 4\/55. Let i = -0.1 + 0. Which is the closest to 2\/7? (a) -5 (b) i (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 23.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21621*k**2 - 7 + 9 - 21898*k**2 - 94*k wrt k.\nAnswer: -554","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 11 = 13. Let l = w + -17. Let v = -8 + 11. What is the remainder when l is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 2*u - 5. Let y be h(4). Let v(i) = -i**2 + 0*i**2 - 6 - 5*i + 1. Let k be v(-4). Put y, k, 1 in descending order.\nAnswer: y, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -51, -100, -171, -270, -403, -576?\nAnswer: -795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1065375?\nAnswer: 3, 5, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -5*w + 2*m, -2*w - 5*m - 2 = -16. Let n = -24 + 48. What is the highest common factor of w and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -k**8\/5040 + 23*k**5\/20 - 25*k**2 + 5*k. Let x(r) be the third derivative of f(r). Let p(i) = -4*i. Calculate x(p(w)).\nAnswer: -64*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, 21587, -368.\nAnswer: -368, 5\/2, 21587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17.5? (a) 2 (b) -4 (c) 6428\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 248.867*0.1.\nAnswer: 24.8867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -28, 0*q + 6*c - 11 - 45 + 12 = -q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 21805, 21789, 21773, 21757, 21741, 21725?\n\"Answer: -16*k + 21821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (168\/6)\/((-88)\/22).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2 + sqrt(162) + 5))**2 - ((-2*(sqrt(162) + -1 + sqrt(162) - sqrt(162))**2 - sqrt(162)) + (sqrt(162) - (sqrt(162)*-1 + 0))).\nAnswer: 1305*sqrt(2) + 4601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 100921 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -12454 (base 8) to base 4\nAnswer: -1110230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 89699852 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 7*o**2 + 79*o - 12. List the prime factors of b(-14).\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -22*c**3 + 11. Let f(l) = -l**3 + 3*l**2 - l + 1. Let u(p) = 15*p**3 - 12*p**2 + 4*p - 10. Let i(z) = -4*f(z) - u(z). What is 6*g(j) - 11*i(j)?\nAnswer: -11*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = 14*w - 10*w. Find the common denominator of -113\/18 and (428\/w)\/(3 + 57\/(-15)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 2*o + 20, -4*b - 2 = 5*o + 2. Let t = b + 14. Calculate the least common multiple of 3 and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67545031?\nAnswer: 29, 103, 22613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*34\/187*(-2)\/(-4)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2696826 * 1.6.\nAnswer: -4314921.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 116810 and 140172.\nAnswer: 700860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = 5*z - 50, 20 = u + 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from ozzzozz.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 540488 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and 4989475166896.\nAnswer: 4989475166895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f + 19. What are the prime factors of b(9)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -13*l + 43. Let j be u(3). Let t(b) be the third derivative of 0*b - 1\/24*b**j - 1\/60*b**5 + 0 + 3*b**2 + 0*b**3. Factor t(f).\nAnswer: -f*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -24*q**3 + 10*q**2. Let y(b) = 5*b**3 - 2*b**2. Let d(n) = -26*n - 847. Let a be d(-33). Give a*y(u) + 2*t(u).\nAnswer: 7*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1932*x**2 - 34*x**3 - 1932*x**2.\nAnswer: -34*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 133919420 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*o - 5*o + 6*o + 8*o to r*o + n and give r.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/45 or 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l. Let g(j) = -283*j**2. What is g(k(z))?\nAnswer: -1132*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -714010 divided by 71401\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 88 and 1099.2.\nAnswer: 1187.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -17 - (-1 + 0 + -3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 12*z**2 - 23*z - 3. Let m be o(8). Solve -21 = 48*y - m for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -1660746*p + 18840. Let w(a) = -1411*a + 16. What is 2*k(l) - 2355*w(l)?\nAnswer: 1413*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2244*z**5 + 16*z + 2.\nAnswer: -44880*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 6 = 5*u, 0 = 4*u - u + 3*j - 6. Suppose u = -p - 1. Let f be p\/8 + 18\/8. Solve 5*h = -5*n - 0*n + 5, -5*n = -f*h + 30 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24.8803 at most -3362?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 10:34 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of 0*k**3 + 0 + 5\/12*k**4 + 0*k**6 + k + 0*k**2 + 5\/42*k**7 + 0*k**5. Find the third derivative of j(f) wrt f.\nAnswer: 300*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12762605 a multiple of 355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 11:34 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 0*i + 243 = 0. Suppose i*t = 2951 + 5365. Calculate the least common multiple of 4 and t.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178708980.\nAnswer: 2, 3, 5, 2978483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 551542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -72462 divided by -72462?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 23*b - 761. Calculate i(33).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 25*h**2 + 313*h**3 - 315*h**3 + 17*h**2 to l*h**2 + d*h + z*h**3 + y and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 - 52. Let s = -24 - b. What is the biggest value in 3, 2\/3, s, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 2*p - 7, -u + 3*p - 23 = 3*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -32415 + -1?\nAnswer: -32416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g*g**7*g**(-1\/4)*(g*g**1*g)**(2\/117) assuming g is positive.\nAnswer: g**(1373\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.03193075 + 7909349.03193075. Let j = 7909294.99943 - v. Let i = j - -54. Round i to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/280 and 83\/40?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 787657, 3150645, 7088957, 12602593?\n\"Answer: 787662*g**2 + 2*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of d**4\/12 + 13*d**3\/6 + 29*d**2\/2 + d - 5. Let t be a(-11). Solve 3*f - 17 = -3*g + t, 0 = g - f + 2 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 267335 and 842?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/2)\/(13 - (-110)\/(-10)). Let z = -2.4 + 2.4. What is the fourth biggest value in z, -1, i, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 904 = -166*a + 572 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -42*r. Let i(x) = -41*x. Let k(p) = -5*f(p) + 6*i(p). Let y(m) = -5*m. Give 3*k(n) - 20*y(n).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.034, -2\/5, 1\/5?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -81 + -66. Let d = w - -155. What is the remainder when 10 is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 624263\/24 - 26016. Find the common denominator of a and 7140\/(-2430)*(-2)\/(16\/6).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 1:38 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 9 = 2*o - o, u + 4*o - 8 = 0. Suppose -4*r + 8 = -u. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/5 (b) 9\/2 (c) -68.41 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 3*f - 24 = 0. Let k be (12\/(-14))\/((-5)\/420). What is the greatest common factor of f and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 170\/3 (b) -0.3 (c) -3.4 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -101.8999606 and 0.1?\nAnswer: 101.9999606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/((k\/(k**(-38)\/k))\/k)*((k*k*k*(k\/(k*k**(4\/23)))\/k*k*k)\/k)\/k*k**(-1\/9)\/(k*k*k\/(k\/k**(-4\/5))*k*k) assuming k is positive.\nAnswer: k**(-40867\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21282386123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -15*t**2 + 2*t**2 - 3*t + 9*t**2 + 5*t**2 - 2 + 3*t**2. Give k(3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*d + 42*d - 375 + 37*d + 34*d.\nAnswer: 2*d - 375","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s**(-45)*s))*s*s*s\/s**(10\/13))**(-11) assuming s is positive.\nAnswer: s**(5973\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/137316101 or -1?\nAnswer: 2\/137316101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -150 - -172. Find the third derivative of -2*m**2 + 20*m - 19*m**3 + 167*m**3 - w*m wrt m.\nAnswer: 888","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3966 + (-1 + 2)*(0 + -1). Let j = i - 71965. What is j rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 26, 14, 4, -4, -10?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k + 6. Let i = 6 - 11. Let v be l(i). Let f = 4 + -4. Solve n + v + 3 = f for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b + 164 = 15*b. List the prime factors of b.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 488 - 386. Put 4, z, 2 in ascending order.\nAnswer: 2, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 894627.9 tonnes to grams.\nAnswer: 894627900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**4\/6 - j**3\/2 + 4*j**2. Suppose -2*o = -8*l + 4*l + 16, 4*o = 0. Calculate i(l).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y. Let x(g) be the first derivative of -13*g**3\/6 + 6*g + 7. Let p(m) be the first derivative of x(m). Give a(p(k)).\nAnswer: 26*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*v + 14 = 0, -2*p = -4*p - 4*v - 20. Let b be (140\/p)\/(-3*2\/(-18)). Let h = b + 181. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nxnxpnpoxxnpa. Give prob of sequence px.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -7*m**2 - 26*m**3 + m - 10*m**2 + 6*m**2 + 15 + 25*m**3. Calculate d(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28054 and 2490.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*w = -13*w. Find c such that w*c**2 - 1\/8*c**4 + 0 - 3\/8*c**3 + 1\/2*c = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilometer in millimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -3. Let u = -1 + y. Put -0.4, u, -2\/9 in ascending order.\nAnswer: u, -0.4, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**5 + 95*a**4*b + 2*a**3*b - 4*a**2*b - a*b - 5*a wrt a.\nAnswer: 120*a**2 + 2280*a*b + 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -1. Let d = 9 + -8.9. Which is the nearest to -0.1? (a) d (b) 4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -118, -465, -1044, -1855?\n\"Answer: -116*i**2 + i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9928)\/(-2280) + 4\/(-6) - 3. Let o = x + -2\/95. What is the second biggest value in -50, o, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 6 = -2*m, -4*m - 3*t - 2 = -2*t. Suppose o + 3*f - 17 = 0, m = -o - 3*f - f + 15. Solve 5*v = -4*w + 17, -v - 2*v = -4*w - o for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 22, 5 in decreasing order.\nAnswer: 22, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 125016 and 31254.\nAnswer: 125016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + -1)\/(0 - -1). Let i = q + 10. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**4\/11 - 268*b**3\/11 - 28734*b**2\/11 - 428600*b\/11 + 41600 = 0. What is b?\nAnswer: -55, -20, 1, 208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 90211730 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -422, -473, -620, -911, -1394?\nAnswer: -2117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15318.849 - -0.7.\nAnswer: -15318.149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 18\/13, 3\/62, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of 473*g**8\/56 + 335*g**4\/6 + 2*g - 101. Find the third derivative of d(n) wrt n.\nAnswer: 56760*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 79 - -f6da?\nAnswer: f753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1061101037?\nAnswer: 19, 55847423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -2b?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 172 + -157. Solve t = -m + 4*l, 2*l - 21 = 4*m - l for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 + -2 - 15) + 16 + -45 + (-2 - 2)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1046 - 364 = -10*v. Is v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.071 + -82.071. Let r = -57 - v. Let q = 27 - r. Put 0.6, -3, q in ascending order.\nAnswer: -3, 0.6, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10066, -10061, -10056, -10051?\nAnswer: -10046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 475\/285*24\/(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.05 and -19.25?\nAnswer: 0.9625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 139122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 6:38 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 6, -3, 1, 42, 2 in decreasing order.\nAnswer: 42, 12, 6, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85493 is divided by 12213.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 + 26. Suppose -4*p + u = 20, -3*u - 8 = -c*p - 28. Suppose 0*f = 3*f + 15. Put 0, f, p in descending order.\nAnswer: 0, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 380*r - 385*r + 10 = 0. Let d(x) be the first derivative of -2\/21*x**3 + 4 - 2\/7*x - 2\/7*x**r. Suppose d(m) = 0. Calculate m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 15\/4 of a gram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 27, -2, 1, 2, -1117 in decreasing order.\nAnswer: 27, 2, 1, -2, -3, -1117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 91825391 rounded to the nearest one hundred thousand?\nAnswer: 91800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8722188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -104, -219, -332, -437, -528, -599, -644, -657?\n\"Answer: o**3 - 5*o**2 - 107*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7b278 (base 13) to base 6.\nAnswer: -4451255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -23*p**6\/180 + 80*p**3\/3 + p**2 - 21. Let z(y) be the first derivative of w(y). Let m(a) = 2*a**2. Calculate z(m(u)).\nAnswer: -184*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10395*r + 36*r**2 + 10395*r)*(9 + 4*r - 9) + 0 + r**3 + 0 + r**2.\nAnswer: 145*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzf when three letters picked without replacement from {f: 4, j: 4, z: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 4:26 PM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 727760695 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3327801 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 4*p - 3*n, 151*n - 148*n = -3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 909877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/225 + 488\/4275. Which is the nearest to -1? (a) 0.3 (b) g (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i = 64 - 82. Let x(y) = 16*y**3 + 1. Let h be x(i). Solve -h = -11*k + 6*k + 2*g, 7 = -k + 3*g for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3 + 82*l**2 - 438*l + 630.\nAnswer: -2*(l - 35)*(l - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*i**2 - 388*i**2 - 4*i**3 + 128*i**2 + 9*i + 130*i**2.\nAnswer: -4*i**3 + 9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28203 = 4*j - 44205. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/2 + 1\/2. Let s(i) = -i**3 + 3*i**2 + 8*i + 9. Let a be s(6). Let z = -43 - a. Solve 3*k = -b - z, u*b - 3*k - 32 = -b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4*u**2 - 3*u + 4. Let k be 12\/8*8\/3. Suppose k = -5*t + 7*t. Let x be o(t). Round x to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -851000 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 9704, -0.3, 4, -2\/33?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -365389.5 to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.8 - -6.8. Sort 5, s, -2, 4 in descending order.\nAnswer: 5, 4, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 320 is divided by 66?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -18 + -5 - (-18 - -31)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*o - 2*o + 18. Does 27 divide (-247)\/o - 5\/15 - 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 118340*g**3 + 3*g**2 - 5*g + 3. Let b be f(2). Suppose 0 = 9*h + b + 5936817. Let n = 85162 - h. Round n to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y - 2. Let n be d(7). Find the second derivative of -3*w**5 + 0*w**n - 2*w + 4*w wrt w.\nAnswer: -60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of m**2 + 3 + 0 - 2*m**2 wrt m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t**2 - 277*t + 1106*t - 275*t - 275*t - 279*t.\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**3 - 2*q**2 + 82*q - 34. Let n be j(8). Sort -4, 5, n.\nAnswer: n, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u**2. Let y(l) = 8*l - 3*l - 2 + 5 - l. Let z(r) = -4 - r + 0 - 4*r. Let q(s) = -4*y(s) - 3*z(s). Calculate h(q(b)).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 16 + 11. Let p(x) = x**2 + 7*x - 10. Let q be p(d). Solve -3*r - 7 = q for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*g - 17 - 35 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 5*n, -4*n = -2*x - 0 + 2. Let m(v) = v**2 - 4*v - 3. Let r be m(x). Find the third derivative of 3*q**6 + 2*q**5 - 2*q**5 + 2*q**r wrt q.\nAnswer: 360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 3 = -3*t, 5*t + 1 = 4*x - 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -54*l**3 - 584*l**2 + 5*l + 116562497?\nAnswer: -162*l**2 - 1168*l + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 8. Suppose 860 = 5*p + s*l, 4*p - 870 = -p - 2*l. What is the greatest common divisor of 16 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22848 divided by -408?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-60)\/(-130) - (-78)\/(-169). Let q(a) be the first derivative of -11\/2*a**4 + x*a - 24 + 19\/2*a**2 + 0*a**3. Find the second derivative of q(f) wrt f.\nAnswer: -132*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 727906 and 856360.\nAnswer: 14558120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*d + 23*d + 10 = i, 2*i = -2*d - 4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 268537.5 litres?\nAnswer: 268537500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 12.7. What is the second smallest value in -5, 1\/6, s?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 208 + -208. Let n = -3 - -3.2. Which is the closest to -2\/3? (a) n (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6578.\nAnswer: 2, 11, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-10)*4)\/((-3)\/(-15)). Solve -7 - 17 = v*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -176535.1 rounded to the nearest ten thousand?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9860045*j**5*p - j**2*p**3 - j*p**3 - 2*j*p**2 - 10*j*p - 912*p**3 + 30*p**2 - 3 wrt j?\nAnswer: 197200900*j**3*p - 2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 - 28. Suppose 0 = 5*r - 2*d - 31, 5*r = p*d - 8*d + 10. Suppose r*v - 250 = 865. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k + 7. Let p(w) = -w - 2. What is 14*p(y) + 4*t(y)?\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 7*o**2 - 2*o - 1. Calculate t(-4).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 12:31 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -89, -825, -2879, -6929, -13653, -23729, -37835, -56649?\n\"Answer: -113*a**3 + 19*a**2 - 2*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven quarters of a century?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 9*j**2 + 1. Let q be d(4). Let z = -266\/3 + q. Let n = -7 - z. What is the second smallest value in 1, -5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 288238968 by 1896309.\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from sddssdd.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of 139*u**4\/12 - u**3\/3 + 9*u**2\/2 - 2*u - 8. What is the second derivative of d(y) wrt y?\nAnswer: 278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/1942590 and 109\/1295060?\nAnswer: 3885180","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -231410?\nAnswer: -231413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 7*y**3 - y**2 + y - 1. Let b be h(1). Let t be (b\/(-4))\/(1\/22). List the prime factors of (t\/6)\/((-1)\/2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1508290 divided by 301658?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3946 or 6044?\nAnswer: 6044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -474*g = -512*g - 122 - 1512 for g.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 7:27 PM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 264914106 to the power of 1\/2, to the nearest integer?\nAnswer: 16276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away 0.12874762?\nAnswer: -0.32874762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 2*x = 0, 3*z - 19*x = -24*x - 32 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -3 (b) -7 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + p**2 + 0*p)*(2*p + 2*p - 2*p - 2*p + 2 - 2 + 2 + 2*p - 2 + (5 - 2 - 1)*(-p - 3*p + 6*p) + 4*p - 4*p - 2*p - 65 + 117*p + 65).\nAnswer: 121*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of 260*m**2 + 0*m**5 + 1\/40*m**6 + 0*m + 0 + 0*m**4 + 1\/560*m**7 + 0*m**3. Solve y(k) = 0.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/((-19)\/(1444\/(-57)))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-5*(2 + sqrt(112)*-2)*5*-2)**2.\nAnswer: -80000*sqrt(7) + 1130002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ytyywyyyyytw. What is prob of picking 2 y and 2 t?\nAnswer: 28\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 73 + 263 = -4*g, -3*d = g + 84. Let m be (-91)\/g - (1 - 11\/12). Let v(s) = 2*s. Let w(t) = 1. What is m*v(u) + 3*w(u)?\nAnswer: 2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.0306 (b) 1\/2 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -38*(2 - 30\/3). Suppose 2*f - 3*w - z = 0, 3*f - 3*w - w = 458. List the prime factors of f.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w + 21*w = 145 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 13 = -12. Let b = -28 - -44. Suppose -4*l = a*v - b, -3*l = -4*v + 7 + 12. Solve 0 = 5*t - z - 4*z + 5, 2*t - 4*z = v for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3*v + 105 = 0, -4*v = -5*n + v + 215. Let j = 971 - 951. What is the remainder when n is divided by j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 5*c - 30. Let f be (-1404057)\/(-18) + c\/(-30). Suppose -2*j = -0*j - x + f, -2*j - 5*x - 77985 = 0. Round j to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 30\/20*24\/9. Suppose -3*a - 5*m = 0, -2*a = f*m - 4 + 2. Let d(v) be the second derivative of v**4\/12 + 7*v**3\/6 + 3*v**2\/2 + 3*v. Calculate d(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1084050 = -3*o - 87*o. Is o a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c684 (base 15) to base 11.\nAnswer: 63631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.3 + 5. Is n not equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1663718 - -3163518. Round l to the nearest ten thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1121 divided by 11293?\nAnswer: -1121\/11293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 - -0.2. Let d be (-5)\/(-7) - (1 - 0). Let o = -1270 + 1273. Which is the third smallest value? (a) n (b) o (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 - 1323*x - 545*x + 28 - 52*x.\nAnswer: -1920*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (0 + -3) - 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 14 - 2 = d, 0 = 2*d - k - 6. Let n be (12\/15)\/(d\/5). Let z = 6 + n. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d + 3*d + 12*d)*(26 + 7 - 25)*(0 - d + 0) in the form o*d**2 + k + b*d and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -73 in descending order.\nAnswer: 4, -2, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 507, 493, 469, 435, 391?\nAnswer: 337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 5885.5445.\nAnswer: -5880.5445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-16)*(-60)\/(-495).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + -6 + 0 + -23?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 42, -3, 0.2, -0.22 in increasing order.\nAnswer: -5, -3, -0.22, 0.2, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -5*n - 77. Let w(c) = c + 19. Let j(y) = -2*l(y) - 9*w(y). Let u be j(11). Let f be 160\/24 - (-4)\/u. Which is bigger: 5 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*q - 30. Suppose -2*u = -q*u + 4. Let p = 7 + -5. What is the remainder when p is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1318 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4580297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -3*p**4\/20 - 2*p**3\/5 + 129*p**2\/10 - 24*p + 2253. Factor j(d).\nAnswer: -3*(d - 5)*(d - 1)*(d + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 43 in -3\/7, -0.5, 1\/5, -2\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/36*21)\/((-2)\/(-4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3006842*m**2 - 1504793*m**2 - 1502067*m**2.\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 266*x**4 + 170*x**2 + 2 wrt x?\nAnswer: 6384*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 13, p: 4, i: 3}.\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0434867779 and 0.1?\nAnswer: 0.0565132221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 22556*w + 90204. Calculate h(-4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 5*l = 2*l + 1191, 2*n - l - 483 = 0. Suppose -n = -4*s - 260. Sort 2, s, 4 in decreasing order.\nAnswer: 4, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 70803 + 70605 = 0. Calculate the remainder when 14255 is divided by x.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**19\/(t\/(t\/(t**(-4)*t)))*t**(1\/4)\/t**19 assuming t is positive.\nAnswer: t**(13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5\/2)\/s*s**(2\/21))**(-3\/28) assuming s is positive.\nAnswer: s**(143\/392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by -1539.\nAnswer: -7\/513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*t - 10*t + 5*t = 168 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l - 15. Let a be (819\/(-39))\/((-1)\/(-7)). Let o be (-2)\/3*a\/(-14). Determine p(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25610118 and 1679352.\nAnswer: 102440472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of -521*i**5\/2 - i**4\/12 - i**3\/6 + i + 32. Let a be z(-1). What is a rounded to the nearest 100?\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -9. Suppose o*h + 3*f = -h - 3, 0 = 3*h + f + 1. Which is the third smallest value? (a) 0.1 (b) 1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**3 + q - q)*(4 + 0 - 6) - 9*q**3 - 8*q + 8*q + 22*q**3 + 3*q**3 - 7*q**3.\nAnswer: 13*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - 7. Let f be m(0). Let h = 12 + f. Suppose -u - 2*v = 2*v + 15, -h*v - 24 = 2*u. Is -6 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i*((i\/i**0*i)\/i*i*i)\/i)\/i**(-12))**31)**3)**45 assuming i is positive.\nAnswer: i**66960","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -687 + 708. Let o be 15\/v + 16\/56. Which is smaller: 2\/45 or o?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 6*z**3 - 2 - 1 - 8*z**3.\nAnswer: -2*z**3 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -17*h - 36. Determine x(-6).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 11. Let y(z) = -z - 2. Let s be y(-2). Factor -2*i**c + 4\/3*i + s + 2\/3*i**3.\nAnswer: 2*i*(i - 2)*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 170305?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 570\/(-78) + (-4)\/(-26)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 164*l**3 - 957*l**3 - 3 - 968*l**3 - 4*l**2 to the form t + x*l + y*l**3 + v*l**2 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*s**3 - 232*s - 27*s**3 + 34*s to the form a*s**3 + l + p*s**2 + q*s and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22892 + 22950. What is the remainder when a is divided by 64\/(-10)*5*-1?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -15. Let s = -3\/13 - -22\/39. What is y in s*y**c + 1\/3*y - 2\/3 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y + 0*y - 2*y. Let b(x) = 14*x**2 - 12. Let i(a) = -a**2 + 1. Let u be (-6 - -7)*(-2 - -1). Let f(o) = u*b(o) - 12*i(o). Calculate r(f(g)).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6672341.\nAnswer: 13, 513257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3 - 228*r**2 + 4792*r - 17760.\nAnswer: -4*(r - 12)*(r - 5)*(r + 74)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 285727 + -285710.0697. Let j = u - 16.9. Round j to 3 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -13326905, -13326908, -13326915, -13326926?\n\"Answer: -2*w**2 + 3*w - 13326906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -338, 1\/37, 5, 2.\nAnswer: -338, 1\/37, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*h - 0*h. What is the derivative of 0 + w + h*w + 1 wrt w?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/5)\/(180\/150). Which is the fifth smallest value? (a) -1 (b) 0.09 (c) 3\/4 (d) j (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/(-6))\/(-2*(-3)\/(-18)). Find the second derivative of -16*k + 6*k - 2*k - b*k - 10*k**2 wrt k.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*x = 48*x - 418. Is 18 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 2\/5 (c) -53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*x**3 + 79*x**3 + 44*x**3.\nAnswer: 24*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145*d**2 - 3*d + 128*d + 44 - 125*d.\nAnswer: 145*d**2 + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 63234 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 4616560 and 572.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 116, 143, 194, 275, 392, 551, 758, 1019?\n\"Answer: f**3 + 6*f**2 + 2*f + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131635944 is divided by 3178.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 16.9 from -255.8501884.\nAnswer: -272.7501884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -300 (c) -0.02 (d) 2\/17 (e) -42 (f) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 717 = 861. Is n a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 13*c**2 - 10*c - 9. Let f be q(-4). Let m = f - -86. Is 8 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**8\/i*i**(-18) assuming i is positive.\nAnswer: i**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2102344103 - -110?\nAnswer: -2102343443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1d - -102?\nAnswer: e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**2 + 168*j + 1084. Let q be v(-77). Solve -q*f + 4 = -10*f + 4*z, 4*f = z + 8 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -316 - -442. Is r a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -5*u**3 + 3*u**2 - u - 2. Let m be o(1). Let v be m\/(-20)*20 + -1. Solve -3\/8*c**v - 9\/8*c**2 + 3\/8*c + 0 + 9\/8*c**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1367, -5864, -13343, -23792, -37199?\nAnswer: -53552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 9) in base 5?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 124 and 310?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p - 96*p - 41 + 73 - 32. Let z(m) = 2*m**2. Determine s(z(h)).\nAnswer: -196*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-63)\/(-4) + 39\/(-52). What is the highest common factor of n and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -0.09718?\nAnswer: 0.038872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, m: 1, h: 13}. Give prob of picking 1 g and 1 h.\nAnswer: 39\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9454.\nAnswer: 2, 29, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1848\/(-693))\/((-12)\/(-99)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11101001111110111 (base 2) in base 7?\nAnswer: 1006161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21834 by 1213.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*6\/8)\/((-267)\/(-979))?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -0*n. Suppose n = 3*v + 5 - 11. Factor -22\/5*o - 18\/5*o**v - 4\/5.\nAnswer: -2*(o + 1)*(9*o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19669057?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 112 - 85. Let f(t) = -8*t - t**2 + 8*t - 2*t - i + 24. Determine f(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -864221, -864210, -864199, -864188, -864177?\nAnswer: -864166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -3 (b) 0.1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u + 103*u**2 + 339*u**3 + 106*u**2 - 202*u**2 + 464*u**3.\nAnswer: 803*u**3 + 7*u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.6*-75\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6469 - 6475. Which is the nearest to -1? (a) -7 (b) 2 (c) z (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19219.\nAnswer: 19219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11615 (base 7) to base 6\nAnswer: -22042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 315, 656, 997, 1338, 1679, 2020?\nAnswer: 2361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31344*d**3 - 3*d**2 - 1273*d - 1?\nAnswer: -188064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) -20 (c) -1\/2 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-19469)\/(-1206))\/(12\/(-18)). Let z = 7\/201 - p. Let q(j) = 5*j + 2. Calculate the common denominator of z and q(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a + 292 = -1940. Suppose 2*y - o - 244 = 127, 0 = y - o - a. Is 37 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3842 and 16422.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 4 + (-1 + sqrt(1539) - sqrt(1539)))**2 + (-5*(sqrt(1539)*2 - 5*(sqrt(19) + 1)))**2.\nAnswer: -3250*sqrt(19) + 80936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/6*-29*1)\/((-482)\/(160024\/332))?\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 6:55 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x. Let o be c(1). Let j be 0\/(-2*o\/4). Is (-2 + j)*215\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 0.33468\nAnswer: -5.66532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 a factor of 362510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - 30. Let k(u) = -15*u + 8. Is k(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199*u - 200*u = -3, -2*u - 42 = 4*h. Let r(d) = d**2 + 9*d - 11. What is r(h)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -7*p - 12. Let f(y) = -11*y - 19. Let h(g) = 5*f(g) - 8*j(g). What is h(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135362 to the power of 1\/2, to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuiuqiiuiiuiu. Give prob of picking 2 i.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from gggggggkkgkkkgkkgkkk.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -149141 > -149136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (91*a**2 + a - 41*a**2 - 51*a**2 + 6)*(-1 + 6*a - 2*a + 0).\nAnswer: -4*a**3 + 5*a**2 + 23*a - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) 0.09 (c) -9 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/11 + -12\/55. Suppose 10 = 3*l - 2*q, 3*q - 1 = -l + 6. Which is the closest to 11? (a) 0.4 (b) o (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by -19972.\nAnswer: 11\/9986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 35083681?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 3282*t**5 - 7380*t**4 - 85413*t**3\/8 + 58959*t**2\/8 + 59157*t\/8 + 81\/8 = 0.\nAnswer: -1, -3\/4, -3\/2188, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of 17*h**6\/120 + h**5\/30 - h**4\/12 + h**3\/6 - 3*h**2. What are the prime factors of r(1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/27 + 10\/27. Let m be (-8)\/6*6\/(-16). What is the closest to m in 3\/4, -0.4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5399866 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 869.5588ug?\nAnswer: 0.0000000008695588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 84783.3 to the nearest 100.\nAnswer: 84800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -14. Let g(v) = 11*v**3 + 16*v. Let f(s) = 5*s**3 + 8*s. Let n(m) = t*g(m) + 5*f(m). What is the second derivative of n(h) wrt h?\nAnswer: 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**2 + 3*v. Give i(-3).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -19. Calculate the greatest common factor of f and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -116*d**2 - 128*d + 45. Calculate t(2).\nAnswer: -675","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -7, 5, 46, -2, 64 in descending order.\nAnswer: 64, 46, 5, 0, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 100447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**5 + v**5 + 3*v**5 + (-2*v + 2*v - v)*(5*v**4 + 27*v**4 - 13*v**4).\nAnswer: -12*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/2 of a decade?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -17, -0.5, -5\/627?\nAnswer: -5\/627","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*n + 266 + 822 = -269*n + 496*n for n.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 21 = w - 31, 185 = 5*w - 5*q. Calculate the greatest common divisor of w and 320.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 1 = 5. Find the third derivative of -y*f**2 + 3*f**2 - f**3 - 2*f**3 wrt f.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/11 (b) -0.8 (c) -1\/10 (d) -1 (e) -0.032\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 993 = 2*l - 5*x, -1353 = -4*l + 5*x + 608. Calculate the highest common divisor of 176 and l.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10\/(-8))\/((-9)\/36). Factor 26 - 9*t**3 - 52*t**2 - 40*t - s*t**3 - 5 - 5.\nAnswer: -2*(t + 2)**2*(7*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 3*p - 0*p + 38, -2*s + 3*p + 8 = 0. List the prime factors of (-3)\/(-9) + s\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3530259437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*u + 38*u = 0. Let l be (-4 + u)\/(18\/27). What is the remainder when (-4)\/((32\/l)\/4) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q + 37*q = 704. Solve 4*h - 8*l - q = -7*l, -l = 4*h - 24 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2171233834 rounded to the nearest 100000?\nAnswer: 2171200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 17\/(-4) - 1\/(-4). Suppose 2*x + 3*a = 0, -4 = a - 0. Let u = x - 6. What is the nearest to u in c, 5, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 12, 3 in ascending order.\nAnswer: 3, 12, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-6)\/15*-20\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -9. Let q(t) = t**2 + 4*t - 99. Let u be q(8). Sort u, m, 5, 7 in descending order.\nAnswer: 7, 5, m, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -33, -48, -71, -102, -141, -188, -243?\n\"Answer: -4*m**2 - 3*m - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 13) in base 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 15 = 3*d, -d - 4*d = m - 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/(-1))\/(33\/(-2)))\/(-1).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.13*-3.53835.\nAnswer: -0.4599855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z + 0*z - 6*z)*(-1 + 1 - 1) + 53*z - 9*z + 178*z to o*z + p and give o.\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -0 + 8. Suppose -5 = i*u - 7. Round u to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -50*o**2 + 6*o - 4. Suppose -n = -5*y - 3 - 16, -3*y + 30 = 4*n. Let w be s(n). Round w to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 688270741.\nAnswer: 5279, 130379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**8\/v*v\/(v*(v\/(v\/(v*(v*v**6)\/v*v)))\/v)*v**(-6)*v*v\/v**5)**(-31) assuming v is positive.\nAnswer: v**279","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.193 in -1, -48, 227?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3070346182?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31602?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*i + 58 + 11*i**2 - 10 - 8*i**2.\nAnswer: 3*(i + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -104027*t + 104367*t - 30600 for t.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) - -2*-1*sqrt(396)) + -3 + sqrt(396)*1 + -2)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - ((0 - 2) + (12 - (41 + -31)) - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2686 + -2656. Let j = 9 + 1. Calculate the highest common divisor of j and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of b**3\/4 + 339*b**2\/8 - 345*b\/2 - 146. Find o, given that y(o) = 0.\nAnswer: -115, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j = 19*j - 12. Suppose -3*u + 0*u + j*s = -39867, -5*u - 2*s + 66459 = 0. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-20) + 1204\/28920. Let m = 2\/241 - j. Find the common denominator of 49\/18 and m.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 80? (a) 3 (b) -6 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s**2 + 3*s + 2. Let l be u(-3). Let t be ((-5)\/(-3))\/(l\/15) - 1. Factor 0 + 1\/4*g**2 + t*g**3 + 0*g.\nAnswer: g**2*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 1\/2, 0.2, -90, 55?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 18*f**2 + 17*f + 39. Let m be k(19). What is the least common multiple of m + (18 - 6\/(-18)*-12) and 70?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - 487.93331238?\nAnswer: -487.53331238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jhhhjjhjhhhhj. What is prob of picking 2 h and 1 j?\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 25 - 39. What is the remainder when i is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -5*l - 23 + 58, l + 2 = -j. Let x be l\/(12\/(-2))*-26. Calculate the highest common factor of x and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 2*w - w)*(3*w - 2*w + 0*w) + (-52*w - 619 + 619)*(-4*w + 0*w + 2*w).\nAnswer: 102*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2951 is divided by 141.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 671*-108.39.\nAnswer: -72729.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -585, -299 in descending order.\nAnswer: 3, -299, -585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -819*n**3*q**2 + 11385*n**3 - 210*n**2 + 25064*q**2 with respect to q.\nAnswer: -1638*n**3*q + 50128*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1972117.5461 less than 1?\nAnswer: -1972116.5461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.15 + 0.15. Let o = -0.5 - 2.5. Which is the third smallest value? (a) -4 (b) h (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/9*336\/280?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -826\/1763633?\nAnswer: -826\/1763633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 6.58802.\nAnswer: -32.9401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -188*x**2 + 188*x**2 + 212*x**3 + (-4 + 3 + 0)*(-2*x**3 - 3 + 3).\nAnswer: 214*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 991 is divided by 245.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4934 take away -150.28271?\nAnswer: -4783.71729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1101, 1105, 1109, 1113, 1117?\nAnswer: 1121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 615528 and 206.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -26*z**5 - 32322*z**4 - 516522*z**3 - 1448926*z**2 + 1703316*z + 294480 = 0.\nAnswer: -1227, -12, -5, -2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 - (-13 + -11 + 1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -934 - -950. Which is the smallest value? (a) k (b) -0.5 (c) 2\/9 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -227255570 by 1177490.\nAnswer: -193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2 + 2229383\/156 - ((-11)\/(-12) - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of 25*d**4\/8 - 29*d**3\/3 + 59*d**2. Let n = -96 - -213. What is the remainder when n is divided by v(1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + j**2 - j + 6. Let f = 12 - 8. Suppose 4*u = -4*v + 36, -v - 1 = f*u - 4. What is the lowest common multiple of t(0) and v?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34487453 divided by 13.\nAnswer: -2652881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2. Let w(k) = 6306874*k - 5. Calculate w(g(u)).\nAnswer: 6306874*u**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4627*s. Let z(t) = 20*t. Give c(z(x)).\nAnswer: 92540*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 10:50 AM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/4 and -137\/27390?\nAnswer: 54780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -843*a**2 - 840*a. Let r(t) = -211*t**2 - 210*t. Let m(u) = -2*i(u) + 9*r(u). What is the second derivative of m(p) wrt p?\nAnswer: -426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 5*1*sqrt(891)*-1)**2 - (-4*(sqrt(132)\/sqrt(4) - sqrt(33)))\/((sqrt(108)\/sqrt(6))\/sqrt(6)).\nAnswer: 90*sqrt(11) + 22276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77761.\nAnswer: 77761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1891933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 70\/2*(-4)\/(-6)*837\/(-930)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -11\/35242?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fq when two letters picked without replacement from fqicccqcficmqcccfqq.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*q + 23, 6 = -q + 2. Suppose 4*a + 42 - 22 = 0. Suppose -3*m + 3 = -6*m. Put a, -8, l, m in decreasing order.\nAnswer: l, m, a, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -93*w - 19561. Determine c(-212).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -709, -2244, -3791, -5356, -6945, -8564, -10219?\n\"Answer: -f**3 - 1528*f + 820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 146*x**2 + 1066*x + 175610. What is b(-145)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3097 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.2, 0.1, 2, -76 in increasing order.\nAnswer: -76, -0.4, -0.2, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1968697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**2)\/m)\/(m*m**(1\/3)))\/(m**(-6)\/m*m*m**(-2\/7))*(m**1)**(-12)\/(m**(3\/8)*m*m*((m**(1\/7)\/m)\/m*m)\/m) assuming m is positive.\nAnswer: m**(-935\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006624361 to 5 decimal places.\nAnswer: 0.00066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37 - 482*n**2 + 168*n**2 + 152*n**2 + 164*n**2 + 630*n**3 - 55*n wrt n?\nAnswer: 3780*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 7*w**2 + 4*w + 7. Let y be m(6). Let f(j) = j + 1. Let i be f(2). Let v be (-8)\/20*5\/i. Put y, v, 2 in descending order.\nAnswer: 2, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/70*6)\/((-18)\/(-60))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -5*t + 47. Let m(u) = -2314*u - 6915. Calculate the least common multiple of m(-3) and t.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 279\/558*8\/106*-1\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*p + 15*p - 9*p.\nAnswer: -19*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4626.69 millennia in years?\nAnswer: 4626690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 8*q**2 - 6*q + 4. Let x be v(-7). Let z be (-20)\/x*33\/22. Let o be ((-15)\/(-6))\/(5\/z). Solve -o*c = 1 - 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4 = 8. Is ((-28)\/z)\/(1\/(-3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 2:08 PM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -154*t**2 - 1082*t - 68. Determine y(-7).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 1 - -5) + (-69 - -38) + 29.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50 + -20. Solve -4*i + 14 - l = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30570075 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**4 - 5*s**4 + s**4)*(-3*s + 4*s + s + (6 - 3 - 2)*(-3 + 3 + s))*(3 - 4 + 2).\nAnswer: -3*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/65)\/((-56)\/(-52))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -5*b + 46. Let h be a(10). Let k = -21.9 + 23. What is the closest to -1\/4 in 4\/5, h, k?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l + 2*l**5 - 5 - 2*l + 2*l**5 + l**3 + 4. Let s(v) = v**5 + v**3 - v - 1. Let m(c) = o(c) - s(c). Find the second derivative of m(r) wrt r.\nAnswer: 60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 348 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/8*(-40)\/(-50)*(-360)\/144\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m**2 + 10*m + 8. Let k(j) be the first derivative of 24*j - 8\/3*j**3 + 15*j**2 + 18. Let v(r) = 5*k(r) - 14*z(r). Find b such that v(b) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a + 30. Let k be j(-15). Let h(v) = 20*v**2 + 21*v**2 + k*v**2. Let r(o) = 3*o**2. Give h(r(y)).\nAnswer: 369*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/sqrt(2)*-4 - 2*sqrt(243))**2.\nAnswer: 2700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -77\/2 + 37. Let x = 50 + -52. Which is smaller: x or i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 129.6 and -333195?\nAnswer: 333324.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39*z**4 - 13209*z**2 + 28*z**3 - 147*z**4 + 13211*z**2 to the form q + f*z**2 + p*z + y*z**3 + c*z**4 and give y.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = -30*l + 18*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 12:21 AM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.7 - 0.74. Let h = -0.04 - v. Let m = -1.00181 + 0.00181. Which is the nearest to h? (a) m (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55270.32 rounded to the nearest 100?\nAnswer: -55300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/116*(-1200)\/(-750)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 176 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + h = -19, -t + h + 3 = -h. Let l = -7 - -10. Suppose l*y = 65 + 55. What is the greatest common divisor of y and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a + 1. Suppose 5*p + 8 = -3*d - 12, -5*d = p + 26. Let s(l) = -4*l + 6. Determine p*s(y) + 5*k(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(77)*3)\/(sqrt(396) - (sqrt(396) + (sqrt(396) + sqrt(396)*-3 - sqrt(396)))).\nAnswer: -sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*k = -27433 + 68233. Is 50 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -192 and 1894.\nAnswer: 1702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10984)\/170252)\/((-8)\/(-62))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -23910877 plus -7932?\nAnswer: -23918809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 714936008?\nAnswer: 2, 89367001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + (-1 + sqrt(171)*-4)**2)*6 + 1 + -5.\nAnswer: 288*sqrt(19) + 32852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27.7 + 28. Let j = 0.1 - t. Let h = 12 - 34\/3. Which is the nearest to h? (a) j (b) -1\/6 (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - -1 - (-7 + -1). Let s be 3 - 381\/(-8) - 9\/(-24). Suppose p + 35 = -3*r + s, r = -3*p. Solve -k = -z + 2, 3*k + r = -2*z + w*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5867323 by 4.\nAnswer: 5867323\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.62436 rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1724791527 to the power of 1\/4, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -51643 or -51644?\nAnswer: -51643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 4677100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3717996.04999982 - -3717996. Let h = u - -0.05. Round h to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppvpppppvpp. What is prob of picking 1 p and 2 v?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 517 = 3*w + 5*r, 5*w + 5*r - 435 - 420 = 0. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 1544647*o + 22. Let u(s) = -16*s. What is u(z(n))?\nAnswer: -24714352*n - 352","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f - 4*f - f + (-5 + 0 + 4)*(-232 - 25*f + 232) + (1 + 0 + 0)*(f - 1 + 1).\nAnswer: 24*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1361 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5942365.\nAnswer: 5, 11, 13, 8311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37.5 + -41.5. What is the closest to 20\/7 in 0.1, -2\/3, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of -12*x + 0 + 0*x**3 - 1\/6*x**4 + x**2. Calculate y(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87786 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: Let p(a) = -a**3 + 8*a**2 - 7*a - 8. Let l be p(7). Let u = -2 - l. Calculate the least common multiple of ((-39)\/9 + 4)*(-2 - 19) and u.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 22*a + 54, 3*g + 4*a + a = -6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 337518*b + 10463065. Determine a(-31).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-34)*(-21216)\/(-9360)*1\/(-14)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**3 + 6*b**2 + 2*b - 15. Let g be q(-6). Let s = -513 + g. What is the smallest common multiple of s and 7?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (16\/(-48))\/((-2)\/(-48)*-2). Suppose 4 = w, -3*m + y*w = -0*w - 317. Is 42 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2778 - 5180 + 2650)*(-4*d**4 - d**4 + 4*d**4).\nAnswer: -248*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -242, -245, -250, -257, -266, -277, -290?\n\"Answer: -b**2 - 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 493330954.\nAnswer: 2, 149, 1655473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aja when three letters picked without replacement from atttjqtajaatjba.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -10*a + 93. Let j be y(23). Let o = 139 + j. Solve -4*t + 18 = o*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15362 - 11302. Is z a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -12. Which is bigger: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*r + 6*r + 4*r + (0 - 1 + 0)*(3*r + 2*r - 3*r) + (3*r + 3 + 12 - 1)*(1 - 2 + 7) as a*r + b and give a.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -71250*g. Let u be p(-8). What is u rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 155936?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-1)\/(-3))\/(11\/(-33)) + 40 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39078 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -7*j - 3. Let b be r(-4). Let u = b - 9. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 6*j + 14. Let r be o(-3). Suppose -2*m + 6 = r*q, -3*q - 2 = m + 3*m. Let i be 2\/(-7) - (-55)\/21. Is i smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 8, 4, -1, -6, 529.\nAnswer: -6, -3, -1, 4, 8, 529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255156?\nAnswer: 2, 3, 11, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/5 - 344*i**2\/5 + 314*i + 3340.\nAnswer: 2*(i - 167)*(i - 10)*(i + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66597855?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6*((-38)\/(-2))\/(3 - 1). Let q(a) = -a**2 - a - 3. Let u be q(4). Let o = t + u. Does 5 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17 - -31301.95142084?\nAnswer: 31302.12142084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (6\/4)\/(93\/8866)?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 307. Suppose 4*g + 0*g = -5*z + 450, 3*z - 3*g - u = 0. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -5*x. Suppose -3*p + 7*n = 4*n - 21, -5*p - 4*n = -62. Let g(y) = 4*y**2 - y**3 - 3*y + 2*y + 4*y**2 - p - 9*y**2. Determine g(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 399069, 397550, 396031, 394512?\n\"Answer: -1519*s + 400588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 7*o + 1. Let g be f(-11). Let s = -41 - g. Let d = -112 + 114. Solve s*n = -d*n - 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 124503 and 2679?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 969?\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 2:18 PM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 10 = -o. Let a = -30098\/11 - -2736. What is the closest to 0 in 0.3, o, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 + 1)\/((-4)\/72). Suppose -d = -5*h + h. Calculate the remainder when 52 is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -5*m + 1276, 4*l + 1244 = 5*m - 0*l. Let f be (4155\/(-9))\/((-22)\/12). Let c = m - f. Which is bigger: c or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/42*-12)\/(18\/28)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/4)*y*y**12\/y)**(-1\/24) assuming y is positive.\nAnswer: y**(-47\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 0 - 6*q - 3 + 4*q. Let s be f(-9). Let m = -7 + s. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 12) in base 8?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45 - 45. Suppose -p = -2*b - 0*p, a = 3*p. Suppose b = -15*z + 10*z + 40. What is the lowest common multiple of z and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 9:46 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -50, -143, -294, -515, -818?\nAnswer: -1215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 0.5. Let o = 0.81 - 0.11. Let l = o + -0.4. Which is the biggest value? (a) -3 (b) f (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-96)\/(-2))\/4*(-256)\/(-66048).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11232 - 11238. Let x(s) = 2*s**3 + 6*s**2 + 6*s - 4. Let l(v) = -6*v**3 + 10 - 17*v**2 - 12*v + 1 - 5*v. Give i*l(k) - 17*x(k).\nAnswer: 2*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -9, -6\/23, 3, 2\/81, 3\/8.\nAnswer: -9, -6\/23, 0, 2\/81, 3\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 21*d + 7. Calculate the remainder when 24 is divided by a(-21).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from whwmhyhkhmmyck. What is prob of picking 2 m?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 485 and 388.\nAnswer: 1940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 4*k**2 - k. Let u be y(-4). Let g(j) = -j**2 + 2*j**2 - j**3 + 0 + u - 3*j. Is g(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 5 (b) -0.12 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -25*u. Let a(c) be the first derivative of -1\/2*c**2 - 12 + 0*c. Give a(j(f)).\nAnswer: 25*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1568 is divided by 264.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(15\/5 - 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*c**2\/7 + 14480*c\/7 + 14039700\/7 = 0. What is c?\nAnswer: -795, 4415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ire when three letters picked without replacement from {r: 1, m: 1, l: 1, i: 2, e: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 262892 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 6. Let h(v) = -2*v**2 - 3*v**k + v**2 + 2*v**2. Let j(t) = -2*t. What is j(h(q))?\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -5*s**2 + 2*s - 1. Let r(j) = -j - 14. Let m be r(-6). Let p be 9\/(-24) + (-139)\/m. Let d = p + -15. Give o(d).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 397893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 245716 and 9588.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -88*f*w**3*z + 2*f*w**3 - 2*f*w*z + 3*w**3 - 8*w**2*z + 200*w - 2*z wrt f.\nAnswer: -88*w**3*z + 2*w**3 - 2*w*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 70 - 70.051. What is d rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 7:07 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5758 + -5758.025. Which is the second biggest value? (a) -4\/3 (b) 0 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2271698 and 188.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in 0.31, 351, -2?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 26*t - 30*t. Let r(i) = 6*i**2 + 5*i - t*i**2 + 5*i + 2 - 3*i. Suppose 0 = 3*n - 5*b + 41, -n + 3*b + 2*b - 27 = 0. Determine r(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -1361, -5429, -12207, -21695?\nAnswer: -33893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006936406 to 7 dps.\nAnswer: -0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17429*j**3*z - 22358*j**3 wrt z.\nAnswer: 17429*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 828*h = 826*h + 20. Calculate the remainder when 149\/4 + 1\/(-4) is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.3391 and -6363?\nAnswer: -8520.6933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4*w - 7*w**2 + 25*w**2 - w**3 - 15*w**2 - 3 + 1. What is r(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.589005 hours in minutes?\nAnswer: 215.3403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 585.667965 and 0.2.\nAnswer: 117.133593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*k = -30279827 - 29468157, 0 = -3*g - 2*k + 59747980. Let i = -9715994 + g. What is i rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-1\/10))**(-2\/15) assuming c is positive.\nAnswer: c**(-3\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -34*u**7\/21 - 5*u**4\/12 - u**3\/3 - 467*u**2\/2 - 152*u. Find the second derivative of f(l) wrt l.\nAnswer: -1360*l**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 36660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 122109343 and 783.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -18\/389 and 7\/4678.\nAnswer: 1819742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5409137 to the power of 1\/3, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(7\/4)\/r**11*r\/r**(-21)*r**10 assuming r is positive.\nAnswer: r**(91\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-2 + -7 + (0 - -5 - 2))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 p when three letters picked without replacement from {p: 4, z: 4, o: 7}?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that z**5 - 105*z**4 + 1031*z**3 + 154377*z**2 - 1903932*z - 75876372 = 0.\nAnswer: -26, -22, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19825397 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8*1 - (-13 - -15). Suppose 152 - 56 = g*c. Let d = 19 - c. Solve 0 = -2*v - d*j, 3*v + j + 15 = 4*j for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 420\/63*6\/(-25)*-5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 291741 - 291741. Find t, given that 0*t**2 + 5*t**4 - 20\/3*t**3 + 0 + 5\/3*t**5 + a*t = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -756448, -3.\nAnswer: -756448, -5, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/27*-7 - 1. Suppose 2*p - 4 = 2*w, 0*p - 7 = 5*w - 4*p. Which is the biggest value? (a) -1\/7 (b) j (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven halves of a centimeter?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27314 and 2898.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*6*3*((sqrt(128) - (1*sqrt(128) + 5))*1*-6 + -3)*-1)**2.\nAnswer: 2125764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 328150.\nAnswer: 2, 5, 6563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-six fifths of a century?\nAnswer: 6240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 22\/(-18 + -4)*(-22 - (2 - 1)). Solve a = -75*i + 248 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 at least -2625?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -5*i - 10, 12*u + 4*i = 14*u - 2. What is the fourth smallest value in 2\/9, 3\/116, -5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 9:47 AM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -9*z**3 - 45*z**2 + 632*z + 3149. Calculate w(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**3 + 6 + 6*t**3 + 3*t**2 - 2*t**2 - 6*t**3 - t**3 as v*t**3 + o + x*t + j*t**2 and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3399400)\/(-1012) + (-1)\/11 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 2)*(x + 2*x - x)*(2*x - 2 + 2 + (1 + 2*x - 1)*(4 - 2 + 0)).\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1687 divided by -103\nAnswer: -1687\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u**2 - 3*u + 3. Let b(z) = -z**3 - 4*z**2 + 4*z - 4. Let x(g) = g**2 + 21*g + 3. Let i be x(-21). What is i*b(y) + 4*a(y)?\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5962081637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 72848779*n**2 + 152994346*n?\nAnswer: 145697558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -255*h - 3. Let s be z(-2). Suppose 6*v - 255 = s. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*v + 20 = 0. Let j be (30\/25)\/((-4)\/(-10)). Suppose o**3 + o**v - 2*o - 1 + 0 + o**j = 0. Calculate o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195044 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 4:23 PM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from swfvmmmmsww. Give prob of picking 1 v and 1 s.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-264)\/(-40) + (-6)\/10. Suppose h + 36 = 2*s. Solve -5*c + s + 4 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 100 = r. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -38*n**3 + 0*n + 15*n**3 + 18*n**3 - 20*n - 25*n**2.\nAnswer: -5*n*(n + 1)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c5ca5 (base 13) in base 2?\nAnswer: 100001100001011100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - n = 2369, -5*m - 5*n - 1453 = -5428. Let k = m - 788. Solve k*r + 0*r - 12 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence niy when three letters picked without replacement from itiniaaainiotaiiy.\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.9 + 11. Is 2\/17 > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9\/6 - 1)*56\/4. Let m be (-220)\/(-35)*o\/2. What is the greatest common factor of m and 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -11*a**3 + 6*a**2 - 7*a - 6. Let u(r) = -21*r**3 + 11*r**2 - 13*r - 11. What is -11*b(d) + 6*u(d)?\nAnswer: -5*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 538024 and 43600?\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 48\/221?\nAnswer: 48\/221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 7 - 2. Let c be (8\/(-30))\/((-2)\/b). Factor 0 + c*n**3 + 2\/5*n + 4\/5*n**2.\nAnswer: 2*n*(n + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 2*s - 3. Give o(-6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, q: 1, f: 2, o: 11}. Give prob of sequence fq.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (504\/(-147))\/(2\/(-21)*3). Calculate the highest common divisor of i and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6356561.\nAnswer: 43, 147827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184 = 8*j - 136. Suppose 50 + j = 10*y. Suppose 0 = -y*z + 10*z - 6. Let r(i) = 3*i - 9. Give r(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - c + 5. Let g be q(0). Let b(w) = -5 + 3 + g*w - 6*w + 3*w. Let r be b(-2). Which is bigger: r or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 366606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-24*j**2 - 3714*j + 1856*j + 1863*j)*(-1 - 2*j + 1)*(4*j + 2*j - 7*j) in the form g*j**2 + w*j**3 + n*j**4 + v*j + z and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 58223 to the power of 1\/2, to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -5*z - 6 - 12 + 2*z. Let r(w) = w + 5. Let k be (-8)\/(-52) - (-1888)\/(-104). Give k*r(v) - 5*i(v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17986188 to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0*n = 2. Suppose -32 = -6*w + n*w. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 35\/((-1260)\/(-24)) + (-1054)\/(-3). Calculate the highest common divisor of 3104 and w.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k**2 - 27*k - 28. Let h be l(-1). Let x(q) = 5627*q + 2 - h - 5631*q. Let s(d) = 29*d**2. What is x(s(a))?\nAnswer: -116*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-20)\/6 - -2)*-48. Suppose -4*l = 4*p - 128, -4*l + 2*l = -2*p + s. Let k = -4 - -8. Calculate the greatest common factor of p and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**2 + 49*n + 6. Let y(p) = 2*p**2 - 49*p - 7. Calculate -5*f(j) - 4*y(j).\nAnswer: 2*j**2 - 49*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 5:59 PM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (360\/(-8700))\/(((-60)\/(-25))\/(-4))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + 54. Suppose 0*s = -2*s + 5*i - 14, -3*i + 12 = 0. Calculate the remainder when f is divided by -4*3\/(-4)*s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by 19.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*w**2 + 6*w**2 - 7*w**2 + 34*w**3 + 13*w**2 wrt w?\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -677*l + 483303. What is j(714)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -699853195\/4 and -174963300 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 - -131286\nAnswer: 131286.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 4*b - 1026 = 0, -29*y + 4*b = -33*y + 1372. Is y a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of t**8\/3360 + t**6\/360 - t**5\/120 - t**4\/4 - 2*t. Let d(o) be the third derivative of w(o). What is d(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 0, -2*v - 12 = 6*r - 3*r. Let s be ((-6)\/r)\/((-1)\/(-8)*6). Suppose -s*m + 2 + 14 = 0. Solve 4*x = m*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 74*t**2 + 126*t + 2037. Let r be w(76). What is the smallest value in 0.2, r, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (148\/74)\/((12\/14)\/(9\/(-63))).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 447*c - 4 + 431*c + 417*c - 1249*c. Let p(h) = 4*h**2. Determine u(p(z)).\nAnswer: 184*z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2243 (base 6) to base 10\nAnswer: -531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 290075 and 37925.\nAnswer: 1025","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 4 = 9*c - 4*k, 4*c - 4*k + 4 = 0. Suppose 3*o = 5*p + 118, -5*o + 4*p = 48 - 249. Suppose c = -b - o + 98. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 3:27 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fihinnn. Give prob of sequence nhn.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 5*f + 6. Let n be v(-3). Let a(y) be the first derivative of -5 + 19*y**2 - y**4 - n*y**2 - 5. Find the second derivative of a(o) wrt o.\nAnswer: -24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11101011 (base 2) to base 13\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3\/8))**(-6\/11)\/(t*(t\/((t*(t*t**16)\/t)\/t))\/t*(t*(t\/(t**(-2\/19)\/t))\/t)\/t) assuming t is positive.\nAnswer: t**(11787\/836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*l + 4*x + 4 = -28, -38*x - 6 = 4*l - 37*x for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.491827 rounded to two decimal places?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 6:58 AM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -289068.8 rounded to the nearest ten thousand?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 14, 1, -36, -109, -230, -411, -664?\n\"Answer: -2*j**3 + j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-258)\/(-9))\/(4\/(-18)). Let p = 84 + x. Let l = p + 104. Calculate the remainder when l is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 235 = -4*w + 10, -4*w + j + 239 = 0. What is the smallest common multiple of 80 and w?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 20. Let p = u - -22. Suppose -8*d + p = -6*d. Calculate the remainder when d is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(209) - sqrt(209) - sqrt(209))*-1)\/(-3*sqrt(176)) - ((sqrt(1900) + sqrt(1900)*2)*-2 + (-1 + sqrt(1900))*3)**2.\nAnswer: -17109 - 2159*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1054*c + 82*c - 1272 + 2341*c with respect to c.\nAnswer: 1369","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20.6 + 12.6. Which is the second smallest value? (a) 0.5 (b) v (c) 4 (d) -43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 87 - 263\/3. What is the second smallest value in 4, i, -2\/5, 0.1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 8 = 2*j. Suppose j*m + z + 4*z = 151, 2*z + 28 = m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zxxxzxzzxzxxx. What is prob of picking 2 z?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -3 (b) 0.4 (c) 5 (d) 1.4287 (e) 8 (f) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20325398.\nAnswer: 2, 31, 327829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1103 + 42?\nAnswer: 1145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1244? (a) 6 (b) 2\/5 (c) -20\/3 (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21064471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23975*b**3*f**2*j**3 + 72*b**2*f**2*j**3 + b**2*f**2*j**2 + 21*f**2*j**3 wrt b?\nAnswer: 143850*f**2*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**5 + 6*m**5 - 4*m**5)*(-5 + 0 + 4) + 8*m**5 + 88*m**2 - 88*m**2.\nAnswer: 10*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.61 + -1.39. Let u be 1 - (-1 - (-40)\/18). Which is the closest to u? (a) 3 (b) 1\/2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1396.900093884 - -1396.9. What is j rounded to 7 decimal places?\nAnswer: -0.0000939","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*k + 12*k + 45*k - 616 = 0 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 82 - 79. Solve -2*x = -y*o - 15, -6*x + 6 = -4*x for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 11*q**3 - 70*q**2 - 113*q - 109. Let b(o) = 8*o**3 - 47*o**2 - 75*o - 72. Let f(j) = -7*b(j) + 5*s(j). Give f(-19).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 695 is divided by 8 - ((8 - 4) + -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 n, and 1 h when three letters picked without replacement from {x: 4, h: 2, w: 2, n: 2, d: 3}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -8 (b) 80 (c) 0.4 (d) -0.2 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 5, -4*i - 5*w - 414 = -5*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7120, -7126, -7132, -7138?\n\"Answer: -6*j - 7114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6498 + 25904. Suppose 18*f + c = 49*f. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/30)\/(1\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 7. Let f = -4 + 8. Suppose -f*w = 3*x + 6, 4*x - 3*w = x + 15. What is the third biggest value in -5, x, d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*5485\nAnswer: 1097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-54)\/63)\/(2\/14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(-2)*88\/10. Suppose 29*j - 7 = a*j. Is 11 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -3*u**4\/16 - 11*u**3\/12 + u**2\/2 + 31. Determine n, given that a(n) = 0.\nAnswer: -4, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 27. Let b(n) = 22*n - 244. Let i be b(11). Put 1, f, i in decreasing order.\nAnswer: 1, i, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.12 + 0.02. What is the smallest value in p, -0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-128)\/5)\/(62896\/(-78620)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-10) - (-28)\/10. Let k(u) = -j*u - 1 + 3*u - 4*u - 6*u. What is the units digit of k(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 - (-32 + -30 + 36) - 57?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4454, 35184, 118638, 281192, 549222?\n\"Answer: 4396*c**3 - 14*c**2 + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 124032 and 40312984.\nAnswer: 2584","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j\/(j*j**0\/j))))**(-29)*(j*j**(3\/5))\/j**4)**(-16) assuming j is positive.\nAnswer: j**(2512\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2*sqrt(136) + sqrt(136)) + sqrt(136)*-2*-1)\/((sqrt(6912) + 2*sqrt(6912) + sqrt(6912))\/(sqrt(12)\/(sqrt(8)\/sqrt(4)))).\nAnswer: -7*sqrt(17)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6029319 is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1406.\nAnswer: 2, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -602 = -g + 4*o, -g - 3*o + 608 = -o. What are the prime factors of g?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43 + 46. Let b = 1 - k. Let i(w) = 2*w**2 + 2*w + 6. Let q be i(b). Calculate the highest common factor of 10 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 5*b + 2*b)*(-234 + 234 + 129*b**2) + 6*b**3 - 3*b**3 - 2*b**3.\nAnswer: -515*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-4)*(-12)\/9. Let a be (i\/(-5))\/((-2)\/20). Suppose -n - 3 = 4*b - b, 3*b + 12 = 2*n. Is a less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -765*r**2 + 871*r**2 - 9*r + r - 17*r as v*r**2 + p*r + n and give p.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jnjqngjnjqjnjjj. What is prob of sequence jnqj?\nAnswer: 8\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.171 (b) -3 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 38420 (base 15) in base 4?\nAnswer: 223321131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 6:01 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.7 * 119.\nAnswer: 321.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -956273, -1912551, -2868829, -3825107?\n\"Answer: -956278*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.086? (a) -3 (b) 0.4 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011 - -100011011110?\nAnswer: 100011000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bbbubbbbbubb?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = -29318 + 10054. Let b be 0 + -899 + -1 + 1. Let k = b - z. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0073077 rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/(-108)*((-7)\/((-14)\/8))\/8. Which is the nearest to -0.99? (a) 4 (b) 1\/2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60431 is divided by 5421?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -66 - -d?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.042 times -3?\nAnswer: -0.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 327*z - 427*z)*(14 - 87 + 2).\nAnswer: 7100*z - 71","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.065 (b) -2\/17 (c) 0.4 (d) -5\/4 (e) 3 (f) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5\/14 - 13\/7. Put h, -0.05, 0.4 in decreasing order.\nAnswer: 0.4, -0.05, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15473947 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/5 - 33718*s\/5 - 127600656\/5.\nAnswer: -(s + 4344)*(s + 29374)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 53 + -56 - (-14 - -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 16, 2\/9, 89?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -99\/10 + 91\/10. Which is greater: p or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.485 - -0.215. What is the closest to 0 in -3, q, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/3105963 - 624301523\/4596825240. Let i = -2\/185 - y. What is the common denominator of 31\/4 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -19379997*v + 12. Let n be q(-4). Suppose n = -4*o + 5*u, -9*u = 3*o - 8*u + 58140000. What is o rounded to the nearest one million?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -5*p**2 + p - 44. Let j(o) = o**3 + 26*o**2 - 4*o + 233. Give -11*b(y) - 2*j(y).\nAnswer: -2*y**3 + 3*y**2 - 3*y + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*i = 16. Factor -40*s**2 + 1 + 26*s - i*s**3 - 5 + 34*s**3.\nAnswer: 2*(s - 1)**2*(9*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/4 of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/(-30)*6\/18*(147 + -2)*1?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211 (base 5) to base 15.\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -7*i**5\/4 - 61*i**4\/4 - 5*i**3\/2 + 65*i**2 + 38*i - 16 = 0.\nAnswer: -8, -2, -1, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 1. Let o = -0.137 - 5.363. Let k = -1.5 - o. Which is the nearest to -3? (a) -1\/2 (b) v (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3 - 10255*s**2 + 10270*s + 20520.\nAnswer: -5*(s - 2)*(s + 1)*(s + 2052)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from jjsjjjs.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w**(4\/7)*w)*w)**21*((w*w\/(w\/(w*w**(-5))))\/w)**(1\/11))**(9\/4) assuming w is positive.\nAnswer: w**(1467\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16915 and 1990.\nAnswer: 33830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 16*b + 61. Let k be z(-6). Let o(w) = -w + 13. Let x(m) = 2. Let c(l) = k*o(l) - 5*x(l). Let p = 7 - 5. Give c(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 4*t - 2432, -730 = -4*j - 2*t + 2476. Suppose -4*w + j = -2*d, 0*w - 5*w = d - 991. Suppose -v = -0*v - w. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*4\/392*-6*63\/6?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 1031 and 1018 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 8696189466?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*o + 4 - 4)*(5 - 4 + 0) + (-3*o + 5 - 5 + (-1 - 1 + 1)*(-206*o + 102*o + 123*o))*(0 + 1 - 4))*(0 - 1 - 5).\nAnswer: -408*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-1 - -3 - ((21 - 102) + 51))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by (532\/(-98))\/((-2)\/14)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -455529 divided by 317.\nAnswer: -1437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1115 + 5553\/5. Let z = -23\/5 - d. Let o = 581\/4 - 146. Which is smaller: o or z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b + -57a?\nAnswer: -56c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47 and 7849?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 159*f*p**2 - f*p + 4*f wrt p?\nAnswer: 318*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 5, 25 in increasing order.\nAnswer: -1, 0, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64, 97, 130, 163, 196?\nAnswer: 229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -16*m**2 - m - 2. Let o be g(6). Let t be o\/((-90004)\/30000 - -3). What is t rounded to the nearest 100000?\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*m + 6*m + m + 20*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-128)\/56 + (-834)\/(-371)\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1880880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 124 and 1860?\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*s**4 + 1875682*s**2 + 2*s - 278233893 wrt s?\nAnswer: 8*s**3 + 3751364*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 5*n + 5, 5*j - 4*n - 17 = -5*n. Find the first derivative of -26*y - 2*y**3 + 4*y**j + 54*y**2 + 5 - 54*y**2 wrt y.\nAnswer: 6*y**2 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7263000 rounded to the nearest one hundred thousand?\nAnswer: 7300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -159*f + 106*f + 53*f - 308*f**2. Let t(z) = -25*z**2. Determine o(t(k)).\nAnswer: -192500*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n\/(n\/n**(-5))*n*n*n**(-2\/3)*n*n**4*n*n**(1\/4))**(-7))**(-1\/22) assuming n is positive.\nAnswer: n**(35\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of a**4\/8 - 7*a**3\/3 + 3*a**2. Suppose 5*n - 38 = -2*v + 6, n = 4. Calculate the remainder when b(12) is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5091.\nAnswer: 3, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -123*a + 242730*a**2 + 1 - 242442*a**2 - 1 wrt a?\nAnswer: 576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16b (base 12) in base 8?\nAnswer: -343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 6*c + 2. Suppose 16*u + 97 + 95 = 0. Let a(l) = l**3 + 12*l**2 - l - 5. Let g be a(u). Calculate the least common multiple of s(g) and 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z - 61 + 129 - 57. What is n(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -429*d**2 - 392*d**2 + 632*d**2 in the form h*d + l + n*d**2 and give n.\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 28\/(-42)*9\/69. Which is the nearest to -1\/2? (a) o (b) -1\/2 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26999657383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 5*b - 12. Let m(i) = -i**3 - i**2 - 13*i + 11. Is m(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 3*z + 18 = 0, 5*z + 0*z - 24 = -3*m. Let l be 14\/2 + (m - 5). Suppose -41 - 9 = -l*b. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 10680.730092\nAnswer: -10683.730092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8763588?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-18)\/(n\/n**(-2)) assuming n is positive.\nAnswer: n**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/10)\/m*m\/m**(-13))\/(m\/(m*m**(-7))*m)**(-27))**(16\/3) assuming m is positive.\nAnswer: m**(18328\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (89752\/2340 - 8\/36) + ((-32)\/(-60))\/(-4).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - 40 + 28. Factor 0*c + 0 - 2\/7*c**a.\nAnswer: -2*c**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 59 - 19 = 0. Suppose -b*j = -8*j - 94. Calculate the remainder when j is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101010110001001101000000 - -101?\nAnswer: -11101010110001001100111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 6 = 0, -3*w + 293799*r - 10 = 293794*r for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, g: 1, k: 1, b: 1, e: 3}. Give prob of picking 1 b, 1 r, and 1 e.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15)\/6*6\/(-5). Suppose u*z + 2 = 5. Let f be z\/(-2 - -3) - -9. Solve -g - g = f for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -4*z**2 + 3*z + 2. Let f(y) = -5*y**2 + 3*y + 2. Let d(k) = 3*f(k) - 4*s(k). Let x be d(3). Is 17 a factor of (11 + 3)\/(x\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-12))\/((-30)\/16)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) - 1*sqrt(108))\/(sqrt(9) + sqrt(36)\/sqrt(4)*-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 97395 - 64206. What is the thousands digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**5 - 4*f**4 - 4*f**3.\nAnswer: -f**3*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.03 - -0.03. Let o = 0 - j. What is the nearest to o in -0.2, 1, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1484\/42*((-390)\/(-4))\/5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 52413, 52414, 52415, 52416, 52417?\n\"Answer: n + 52412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/2*(-12)\/15. Let x(n) = -4*n. What are the prime factors of x(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -19*2\/(-6) - 6\/18. Suppose -3*m - 7 = -p, p = -3*p + m + x. Which is smaller: p or 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f**3 - 2*f - 1. Suppose 2*d = 4 + 2, d - 5 = k. Let q be (-6)\/3*k\/(-4). Give a(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1499 and 2.2327.\nAnswer: 3346.8173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-126))\/((-1004)\/(-9036))?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 45675 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**1\/r*r))\/(r\/(r\/(r\/r**(-8)*r)*r*r)))\/(r*(r*r**5*r)\/r*r**(-6)) assuming r is positive.\nAnswer: r**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -1129.1 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 243, -48, -831, -2352, -4857, -8592, -13803?\nAnswer: -20736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 13*w**2 + 2. Let a be j(1). Solve 0 = -2*g + 5 - a for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 678213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 724719456 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: Which is smaller: 2\/3 or -2556?\nAnswer: -2556","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7*(-1 - (-51)\/21). Suppose -3*c = -i + 8, -3*i + r = -0*i + 5*c. Let v(f) = f**2 - 3*f + 5. Does 10 divide v(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -111790 and -111791 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j - 36191 = -1117. What is the thousands digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1\/8543, 2\/5, -13?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -6381*w - 7 + 12808*w - 6361*w in the form u + f*w and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*x + 190 = 0. Let b = x - 15. List the prime factors of b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 323013211 (base 4) to base 12.\nAnswer: b8171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-7) + 324\/7. Suppose -260 - t = -3*o. Suppose -4*n + o = 5*q, 3*q - q - 45 = -3*n. Is q a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -4*p + 5*o + 167, 9 = -3*o. Let f be p\/5 + (-10)\/(-25). Sort -1, f, 4 in decreasing order.\nAnswer: f, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + (-21)\/24)\/(9\/1872).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 6*a**2 - 8*a + 5. Let s(f) = -5*f**2 + 7*f - 4. Let g(t) = 6*n(t) + 7*s(t). Let x be g(-3). Suppose 17 + x = k. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, h: 4, u: 9}. What is prob of picking 1 g and 1 u?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 81*l - 556. Let h be q(7). Solve 0 = 2*z - 21 + h for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171 = 3*u - 66. Find the first derivative of 241*r + 47 + 42 - u wrt r.\nAnswer: 241","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1*sqrt(187)*3)\/(sqrt(33)\/sqrt(3)*1).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three eighths of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 100011000011000001 (base 2) to base 3\nAnswer: 21021220210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**3 + 18*w**3 + 0*w**3 + 0*w**3 - 5*w**3 + 3*w**3 + 0*w**3 - w**3 - w**3 + (2*w**2 + w**2 - 5*w**2)*(w + 0 + 0).\nAnswer: 10*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 94893 times 2\nAnswer: 189786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a - 1a6?\nAnswer: -1b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 146716\nAnswer: 733580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 86420 a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + p - 0*p - 36, 5*v - 45 = 4*p. Suppose -r - v = -2*r. Is 4 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 + 2*y**2 + 2*y**2)*(-2*y - y - y + (-y - 6*y + y)*(2 - 3 + 4) + (3*y - 3*y - 2*y)*(1 + 2 - 2)).\nAnswer: -120*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -462 - -570. Suppose 3*r - 42 = -2*v, 0 = -5*r + v + 9 + 48. Calculate the highest common factor of o and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-10) + -2)*-5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 435700 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5579150*h - 53949963.\nAnswer: 5579150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 234*w + 27. Let t be r(4). Let n(f) = -3924*f - 1. Let x be n(-1). Suppose 0 = -4*k - x + t. What is k rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1657.01 + -1669. Let k = -0.01 + x. Let v = k - -12.7. Round v to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20244 divided by -3\nAnswer: 6748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 74\/14 - (-20)\/(-70). Suppose 5*d - z + 770 = z, y*z - 25 = 0. Let b = -52 - d. Calculate the highest common factor of 25 and b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - 0 - (-10 + (-4)\/(-4)). Let u(r) = r**3 - 4*r**2 - 6*r + 1. Let b be u(k). Let l = -6 + 6.4. Sort b, l, 11.\nAnswer: b, l, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-3 - 12 - (2 + -11)) + 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22 + 22 + 15*v)*(-v + 1 - 1 + (v - v + 2*v)*(-2 + 2 - 2) + 2 - 2 + 2*v + 0 - v + 0 - 59 + 10*v + 59) as y*v**2 + s*v + d and give y.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -3 (c) -52 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 d when two letters picked without replacement from pdideicihed.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*p**2 + 2*p**2 - p**3)*(0 + 2 - 6) + 0*p**3 + 4*p**3 - p**3)*(p + 4*p - 2*p).\nAnswer: 21*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -m**3\/3 - 2*m**2 + 2*m - 27. Determine a(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132956*s**4 + 3057996*s**3 + 6514660*s**2 + 3323508*s - 200 = 0.\nAnswer: -1, 2\/33239, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -56 - -67. Suppose 4*b - j = -a, -2*b + 1 - 12 = -5*a. Solve -3*u - r = 5, 2*r + r = b*u - 15 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 626, 641, 666, 707, 770?\n\"Answer: u**3 - u**2 + 11*u + 615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, 2\/11, 0.1, -14?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - 0.6. Let d = 15 - 5. Suppose 3*o = 8*o + d. Which is the nearest to -1? (a) q (b) o (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (3 - (-17 - -24) - (3 + -1)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1064*j**3 + 26801*j**2 + 120553435*j?\nAnswer: 6384*j + 53602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 49\/40668 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -21200020001 (base 3) in base 14?\nAnswer: -3d0a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -201*c + 3455. Let k be d(17). Calculate the highest common factor of k and 25118.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60\/61 - 361\/305. What is the closest to -0.2 in m, 2\/9, -2\/37?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = 3*m - m + 82, 1334*j - 46 = 1348*j + 2*m for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = 4*d - 24. Let g = d - -40. What is the greatest common factor of 198 and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 267 = 3*v + n, 4*v - 8*v - 4*n = -348. Let u be 1*v\/24*-36. Which is smaller: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-15)\/(-36)*16\/100.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 3419 in decreasing order.\nAnswer: 3419, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23 * -304753.\nAnswer: 7009319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4 = 3*d. Suppose -6 = -0*t - t - q, -19 = t - d*q. Let z(s) = 6*s - 6. Let i(y) = y - 1. Calculate t*z(a) - 8*i(a).\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1, -63, -139, -235, -357?\n\"Answer: -l**3 - l**2 - 52*l + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1038 - 608. Let g = n + -179. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4352 and 1526056.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 12, b: 1, y: 5}?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6428 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2536040.7 seconds?\nAnswer: 42267.345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2107 (base 8) to base 5\nAnswer: -13340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 47905 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 58? (a) -22 (b) 0.8 (c) -3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, u: 2, b: 1, g: 1}. Give prob of picking 1 g, 1 b, and 1 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**5 - 3*x**5 - 4*x**5 + (-2*x + x - x)*(281*x**4 - 93*x**4 + 572*x**4).\nAnswer: -1524*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(288) + -1 + sqrt(288))**2 - sqrt(288)) + sqrt(288))*-1.\nAnswer: -1148 + 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = 22*u + 196. Let f be ((-9)\/3 - u)*10. Put 5, f, -1 in decreasing order.\nAnswer: f, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 134*v - 26. What is the hundreds digit of x(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116208 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 11:02 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (36\/8)\/((-6)\/(-12)). Let k be 2\/(-14)*-19 - 48\/(-168). Calculate the highest common divisor of r and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 1:17 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 436445302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 0. Let w(g) = -3*g + 7. Let a be w(-3). Let i be 4\/a*8\/k. Is -1 <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 25*b**2 + 65*b + 4. Let l be m(22). Put l, -9, 0.4 in ascending order.\nAnswer: l, -9, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60723346 a multiple of 1605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 508346 or 508347?\nAnswer: 508346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 37435, 302869, 1024303, 2429737, 4747171, 8204605?\n\"Answer: 38000*i**3 - 566*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 79*b**3 + 12*b**2 - 2*b - 18. Let f(r) = 39*r**3 + 7*r**2 - 2*r - 11. Let g(a) = -5*f(a) + 3*j(a). Find the second derivative of g(z) wrt z.\nAnswer: 252*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356 is divided by 117?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2516577913*-2\nAnswer: -5033155826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -675*p + 1246*p + 4935 = -1113*p - 22009 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-26)\/((-130)\/(-10)) - (-202)\/104. Which is the second smallest value? (a) h (b) 0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 48 = 2*n. Calculate the least common multiple of 10 and n.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**3 - l**2 - l + 1. Let s(t) = -t**3 + 10*t**2 - 14*t - 18. Let b(f) = q(f) - s(f). Let n be b(-12). Solve -26 = n*p - 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*a = 19*a - 168. Solve 36 = -8*j - a for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 3. Let l(b) = -19144*b + 2. Let f be l(s). Let a = f + -22290. Round a to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 325776.6 millimeters?\nAnswer: 0.3257766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 8*p - 5452 = 0. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.18 + -2. Let w = x + 0.02. Which is the third biggest value? (a) w (b) 0.1 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2919 + -2896. What is the remainder when 119 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237562823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22373 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4819852\/251 or -19203?\nAnswer: -4819852\/251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-292)\/949 + ((-2070)\/(-65))\/6. Suppose -16 = -2*k + 5*q, -q - 1 = 1. Solve -u*s - k = -3*h, 3*h + 0*s + 2*s = 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Is -3491088 at least -3491092?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/93 and 97\/114.\nAnswer: 3534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 67 + -125 - -66 - (4 + -18)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, b: 8}. Give prob of sequence lbb.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s**3 - 3*s**2 - 5*s - 2. Let a(o) = -4*o**3 - 4*o**2 - 5*o - 2. Let d(w) = 4*a(w) - 5*h(w). Calculate d(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 156*p**2 + 97*p + 521. Does 105 divide m(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3825 divided by 15713.\nAnswer: 3825\/15713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06 and -218.0613.\nAnswer: -13.083678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 1:07 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2440 - 2022103?\nAnswer: -2030043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1*2.263204\nAnswer: 2.263204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by 1269024?\nAnswer: 5\/423008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - w - 103*w**2 - 1 + 130*w**2)*(3 - 5 + 4) to the form u*w + g + d*w**2 and give d.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -33664000 rounded to the nearest one million?\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 - -17. Suppose -4*x + x - 5*o + 52 = 0, -d*x + 13 = -o. What is the greatest common divisor of x and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 13*l - 10. Let w be l + -3 + (11 - 6) - 91401. Round w to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (246\/(-36) - -7)*8*7\/(-42)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11289 - 5980. 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 remainder when 132 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1391725 divided by -278345?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 1:38 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/2860 and 19\/161447?\nAnswer: 3228940","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let j be 11\/(-33) + 2\/(-6). Let g = -4.92 + -0.08. Which is the nearest to j? (a) -2 (b) -7\/3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -o**8\/84 + 16*o**7\/35 + 152*o**6\/15 + 78*o**5 + 603*o**4\/2 + 612*o**3 + 89*o**2 + 2*o + 3. Find w, given that j(w) = 0.\nAnswer: -3, -1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - d)*(-171*d + 2875*d + 551*d)*(4*d + 2*d - 4*d).\nAnswer: -6510*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*2\/(4\/(-10)). Let c = n - -1. Let k = -5 + c. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 12538053, 12538077, 12538127, 12538209, 12538329, 12538493, 12538707, 12538977?\n\"Answer: h**3 + 7*h**2 - 4*h + 12538049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 3*m - 27, m = -3 + 8 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 1107*m + 1104*m - 2209*m + 46. Determine f(-20).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -148 - -148.2. Sort d, -11, -10, -2 in ascending order.\nAnswer: -11, -10, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.5, -3, 1\/2, 5767, 7 in ascending order.\nAnswer: -3, 1\/2, 1.5, 7, 5767","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**10*q*q\/(q*q*q**6*q)*q*(q**(-1\/6))**(-29) assuming q is positive.\nAnswer: q**(53\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.5 or 2768.8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 6*t - 0. Suppose t*r + 4*g = -116, -4*r - 115 = 5*g - 2*g. Let f be (-3932)\/r + (-12)\/28. Round f to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 89*i + 153. Let w be c(0). Calculate the greatest common factor of 87 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1797 + 8918. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 6*s**2 - 7*s - 13. Let h be p(-6). Suppose -13*v + 3616 = -h. What are the prime factors of v?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1113 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**3 - 790*m**2 - 5285*m.\nAnswer: -5*m*(m + 7)*(m + 151)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 4:32 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -17a (base 12) in base 6?\nAnswer: -1034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*t - 84 + 28 = 0, v + 3*t - 52 = 0. Let f(g) = -g**3 + 4*g**2 + 5*g - 6. Let c be f(5). What is the tens digit of (v\/(-6))\/(c\/9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 423 + -420. Let y(v) = -19*v**2 - 7. Let l(g) = 9*g**2 + 3. Determine f*y(t) + 7*l(t).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sr when two letters picked without replacement from {x: 1, s: 1, r: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9495 by 1899.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*0.7696944.\nAnswer: -0.3848472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -4*y + 44. Let m(a) = 64*a + 99. Let g be m(0). What is the highest common factor of y and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-2)*10\/(-120)*-6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5\/2)\/(-1)*(-1)\/(-15). Sort -5, -24, k in descending order.\nAnswer: k, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3504 divided by -2\nAnswer: -1752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 - -37. Let p = -8 + x. Let n = -6.25 + p. What is n rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6352457 to the nearest integer?\nAnswer: 2520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 9:08 AM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*w**3 + 403*w**3 + 2*w**2 + 227*w**3 - 10*w**2.\nAnswer: 595*w**3 - 8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -58021\/18 + 3225. Let o(s) = -s**2 + 6*s - 6. Let i be o(4). Calculate the common denominator of (-532)\/(-48) + (-1)\/i and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2 + sqrt(99)) + -5 + (sqrt(99) - (sqrt(99) + 0)) + 2)**2.\nAnswer: -264*sqrt(11) + 1705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 9*r - 21. Let t be q(11). Let w be 246\/t + (-4)\/26. Suppose 3*x = 4*l - w*l + 140, 3*l - 132 = -3*x. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-64)\/(-10) - (-8)\/(-20). Suppose w = 6*j + 18. Let t be (42\/117)\/j - 6\/39. What is the second biggest value in t, 2\/7, -22?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -5, 67, 1140 in ascending order.\nAnswer: -5, 1\/4, 67, 1140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, b: 4, z: 3, a: 5, c: 4}. Give prob of picking 1 h and 1 b.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.0908066 rounded to one dp?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ece when three letters picked without replacement from cccccccceceececcece?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*s**3 + 1747257*s**2 - 1147*s + 102?\nAnswer: 12*s + 3494514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1354*k**4*x**3 - 3*k**4 - k*x**3 - 1001*k*x + 2*k wrt k?\nAnswer: 16248*k**2*x**3 - 36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 greater than or equal to -846\/155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 96?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33446 - -10225. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13.2 - 20. Let x = n + 10.7. What is x rounded to 0 dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -ab + 4?\nAnswer: -a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 m, and 1 o when three letters picked without replacement from {d: 2, m: 8, j: 4, q: 3, o: 2}?\nAnswer: 64\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + -18 + 24\/(-14).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 7*w - 4. Let x = 30 + -9. Let s(z) = 36*z - 21. Let b(p) = x*l(p) - 4*s(p). Let g(h) = -3*h**2. Determine b(g(c)).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 4*o + 9. Determine f(-8).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30276 and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27017\/204 - 397\/3. Let h = 6\/17 - q. Factor 0 - 1\/4*c**2 - h*c.\nAnswer: -c*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**3\/2 + 222179*h**2 - h\/2 - 222179 = 0.\nAnswer: -444358, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of 5*w**6\/3 + w**2\/2 - 4. Find the second derivative of y(a) wrt a.\nAnswer: 200*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -9*u**2. Let n be z(-2). Is (-4)\/(0 - (-16)\/n) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 612 and 340.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i + 3. Let c = -55 - -287. Let t be (c\/(-6))\/(14\/(-21)). Let m be t\/18 - 4\/18. Calculate o(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 u when two letters picked without replacement from {u: 1, g: 4, e: 2, s: 7, m: 1, c: 4}.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1835 + 568 = 152*p - 1397 for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/56)\/(106\/848).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30806896261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-105) + 80\/84?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 101463 and 930.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133234130 (base 5) to base 8.\nAnswer: 2461134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 295.9383*0.06\nAnswer: 17.756298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 8:30 PM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = b - 29 + 32, -b + 16*l + 51 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1778.6 - -1777. What is the third biggest value in 2\/7, 0.08, t, 1\/3?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 257 - 189. Calculate the remainder when i is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 11, e: 1, r: 5, y: 2}. What is prob of sequence zyr?\nAnswer: 55\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 4*g**2 - 2*g - 6. Give a(3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 321909019?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*w - 10*w = 5*l + 9, -2*l = -w + 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4032539 + 0.5?\nAnswer: -4032538.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/14280*34*-28.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 5*p + 12. Let a be i(-5). Suppose 3*v + a - 15 = 0. Sort v, 6, -3.\nAnswer: -3, v, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 2\/125 of a milligram?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -4. Let x = 0.18 + -0.1. Let s = 0.08 - x. What is the nearest to i in -0.5, s, -0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (3 - -3 - -10) + -11\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*i - 18, 15 + 55 = 3*d - 2*i. Let x = d - 20. What is the smallest common multiple of 16 and x?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 185054?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 4:19 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31111, -62222, -93333, -124444?\nAnswer: -155555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 n when two letters picked without replacement from {x: 2, n: 1, w: 1, z: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -76835\/91 or -845?\nAnswer: -76835\/91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 419482891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -4*o**3\/3 + 4*o**2 - 7. Solve s(h) = 0 for h.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209.7187 rounded to 0 decimal places?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -4, 4.2, 2\/5, -46 in descending order.\nAnswer: 4.2, 2\/5, -4, -17, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -21939 divided by -614?\nAnswer: 21939\/614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -4 + 10 - (1 + 7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193345 is divided by 205.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 4*r - 25, r - 2*r - 4*u + 9 = 0. What is the third derivative of -d**2 + 4*d**2 + 10*d**4 - r*d**2 + d**2 wrt d?\nAnswer: 240*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -860, -5 in decreasing order.\nAnswer: 3, -5, -860","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 - 2*p**2 + 2*p**2)*(-3 - 5*p + 1 + p).\nAnswer: 4*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 41822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4246140.\nAnswer: 2, 3, 5, 70769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 28\/(-20)) + -2. Let m = 228 - 225.11. Let f = 0.11 + m. Which is the third biggest value? (a) f (b) k (c) 1\/2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, -51, -237, -601, -1203?\nAnswer: -2103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 12971490 to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 675 - 2450. Let c = f - -3674. What are the prime factors of c?\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b - 9*b - 4*k, b - 2*k = -14 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 1 + 4 = 0. Let l = y - -6. Let g(r) = -5*r + r**3 - 1 - 3*r**2 + l + 4 - r. Determine g(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15196381.\nAnswer: 37, 61, 6733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -75*q**4 - 150*q**3 - 93*q**2 - 18*q = 0?\nAnswer: -1, -3\/5, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -1 + -6 - -1 - -1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 72*a - 12. Let w(j) = 18*j - 3. Let k(v) = -2*u(v) + 9*w(v). Is 13 a factor of k(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of u**5\/4 - u**4\/6 - u**3\/3 - 2*u**2 - 4*u. Let f(k) = -4*k**3 + 3*k**2 + 3*k + 5. Let d(i) = -4*f(i) - 3*y(i). Give d(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + -302.58337\nAnswer: -302.28337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1945*u - 3*u**2 - 332*u + 68*u)*(-2*u**3 - 2*u**3 + 3*u**3).\nAnswer: 3*u**5 + 2209*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2957.6035 - 3096.57. Let k = g + 139. What is k rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*y**2 - 56*y**2 + 3*y**2 + 90*y**2.\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13979307 + 7*x + 13979307.\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 12.3755 and 1.1.\nAnswer: 13.4755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 170\/1391 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 167*p + 975. Let d be c(-6). Let a(s) = s**3 - 6*s**2 - 2. Let q be a(6). What is the least common multiple of d\/(-36)*(q + 0 + 14) and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -38.04919167 to 0 dps.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 360 - 146. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/5? (a) 0.3 (b) 2\/5 (c) 13372\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 13 - 2. Let g(j) = j + 3. Let y(z) = -6 + 4 + 32*z - 3 - 34*z. What is q*y(m) - 5*g(m)?\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4607 + 4514 - (-2 - 192)\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -5*s**3 + 164*s**2 + 45*s - 391. Determine k(33).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3764 divided by 96202\nAnswer: -1882\/48101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 5\/4 of a microsecond?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0278 + -522.0278. Let u = 522.000634 + b. What is u rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c - 3. Let l(h) = -3*h - 5. Let r(u) = 6*g(u) - 5*l(u). Let a be r(0). Let s = 7 + -4. Sort -1, a, s in descending order.\nAnswer: a, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3 = 25. List the prime factors of (6\/(-3) - -1) + p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xuxxxxxeguycgyxgugu. What is prob of sequence xcuy?\nAnswer: 7\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50 by -346.\nAnswer: 25\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 877181.67s to hours.\nAnswer: 243.661575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/4 - 2480\/(-1984) - 3*(-6)\/(-60)?\nAnswer: -13\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h\/(((h*h**(2\/3)*h)\/h)\/h)))**(-9)\/(h**1)**(-33\/7))**(-4\/7) assuming h is positive.\nAnswer: h**(-216\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -157?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/35868 and 97\/53028276.\nAnswer: 371197932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -28*d**3\/3 - 44*d**2 + 56*d + 640\/3 = 0?\nAnswer: -5, -2, 16\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007221708 to six decimal places.\nAnswer: 0.000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -105, -185, -319, -507, -749?\nAnswer: -1045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43 - (-518190)\/(-3810) - -93.\nAnswer: -1\/127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 21\/567*(-30)\/(-10)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 4a02b1c?\nAnswer: 4a02b19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 161 + -95c?\nAnswer: -7cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31655 + 53770. What are the prime factors of h?\nAnswer: 5, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 5828722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*w + 827 = -187. Suppose -t + 6 = -0. What is the remainder when w is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112254?\nAnswer: 2, 3, 53, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36766, -36795, -36852, -36937, -37050, -37191, -37360?\nAnswer: -37557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*j + 45053752 = 147*j - 15804648. Round j to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1482 divide 397931564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one tenth of a day?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**2 + 1185*i - 347864 = 0.\nAnswer: 536, 649","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7465 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -4, 13, 5, 35 in descending order.\nAnswer: 35, 13, 5, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/2 + 16805*h - 100821\/2.\nAnswer: -(h - 33607)*(h - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -134 * -0.2.\nAnswer: 26.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25199*v**5 + 3*v**2 + 856*v.\nAnswer: 1511940*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/(-22) - 55632\/(-18788)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 8) to base 6\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(4*(-18)\/384))\/((-7)\/7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 222 divide 185814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-320)*16)\/((-1)\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2568 - 3720 = -12*l. Calculate the greatest common factor of l and 1552.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*v - 12. Let r(j) = -j + 14. Let z be r(11). Suppose g = v*m + 35, 0*g + z*m - 11 = -g. Solve -h + 5*p = -g, -31 + 5 = -2*h + 5*p for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r - 8*r + 11*r. Let p = 5 + -3. Let s(g) = 3*g**2 - p*g**2 + g**2. Determine s(c(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1946\/778629 + 1\/1383. Which is bigger: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 15 = -4*j, 23*m - 19*m + 3*j = -5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 25 = 5. What is the second biggest value in -4\/5, 3, m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14690202 to the nearest integer?\nAnswer: 3833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/2*-2 + -7. Let c = -6 - w. Suppose 0 = -2*g - s + 11, -3*g + 2*s = c*g - 14. Solve j - g*j = 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12775 divided by -511?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 6:11 PM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + -61 + (-5)\/((-20)\/(-12)). Let h = -60 - l. Suppose -3676 = -6*s + h*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 681 + -2011\/3. Calculate the common denominator of 2\/9 + (-174)\/(-54) and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11111011110110010 (base 2) to base 4\nAnswer: -133132302","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33752319 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1208777 + -0.038?\nAnswer: -1208777.038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 3276\/675547 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -112988, -451970, -1016938, -1807892?\n\"Answer: -112993*o**2 - 3*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = k + k - 2516, 0 = 2*v - 4*k - 2528. Is 30 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*q**2 - 589*q + 1160*q - 573*q.\nAnswer: 58*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -10\/3. Is f at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -206150077*r**3 - 5*r**2 + 2*r + 107470.\nAnswer: -1236900462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 67*t**2 - 40*t - 2681. Calculate q(-67).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 6:21 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 7 (b) -6507 (c) 0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 0.1 (b) 1\/4 (c) 2\/7 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13747062*p - 20237734 wrt p.\nAnswer: 13747062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) -2 (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 264 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9891 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/49 in 250, -403, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a factor of 189919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 plus 57172172.059?\nAnswer: 57172166.059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -8246*h**2. Let y(j) = 28750*j. Calculate b(y(o)).\nAnswer: -6815834375000*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-1 - 10 - -1) - (21 - -10)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -556*r**3 + 379*r**2 - r + 14077997 with respect to r.\nAnswer: -1668*r**2 + 758*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1005417, -1005418, -1005419, -1005420?\nAnswer: -1005421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 5*m**2 - 11*m + 17. Let c(d) = -2*d**2 + 4*d - 6. Determine 11*c(u) + 4*h(u).\nAnswer: -2*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.18 and 74.977?\nAnswer: 88.47286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 7\/3, 9, 810, 0.2, 6\/11, -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 8:12 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**8*v)\/(v*v**(-3\/5)))**4\/(v**(-3\/7)\/v**(-7)*(v**(-1\/2))**(-3\/8)) assuming v is positive.\nAnswer: v**(15479\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 7 + 8)*(5 - 2 - 1)*(-j**3 - 2*j**3 + 2*j**3) to the form i + n*j**2 + q*j + x*j**3 and give x.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -783 by 3.\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jp when two letters picked without replacement from ujpjd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 6*v**2 - 15*v + 9. Calculate m(5).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 18*h**2 + 133*h + 910. Let f be k(-58). Round f to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -115 at most as big as -117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 6*r**2 - 4*r + 2. Let y = -37 + 38. Let t(o) = -o**3 + o**2 + o - 1. Let n(j) = y*f(j) - 2*t(j). Let d = 1 - 6. Determine n(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(17)*-2 + -5).\nAnswer: -2*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q + 1. Let v(x) = 97*x - 12. Let o(s) = -5*d(s) - v(s). Is o(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 794 divide 1734890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 260644939?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 1 - 9. Let k be 5 + (-2)\/j*2. Let f(l) = 3*l - 1. Let h be f(2). Solve 7 = k*i - h for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4692 - -2.\nAnswer: -4690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -9623*b**2\/2 - 3457*b + 2227. Find the first derivative of c(k) wrt k.\nAnswer: -9623","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4 + 1)*(1 - 3 + 3*l - 2*l) to m*l + f and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l**2 - 2 - 4*l**3 + 2. Let y(u) = 3*u**2 + 0*u**2 + 2*u**3 - 2*u**2 - u**3. Calculate 2*h(x) + 9*y(x).\nAnswer: x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of l**5\/20 - 2*l**4 - 17*l**3\/2 + 93*l**2. Find v, given that q(v) = 0.\nAnswer: -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*s - 86*s = 5*w + 44, -3*s = -2*w - 50 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 728678.7 millimeters to kilometers.\nAnswer: 0.7286787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -140719\/80751 - -1\/4894. Calculate the common denominator of 6\/36 - (2 + -11) and n.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52887?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of 1\/48*r**4 + 0*r + 0*r**3 + 1\/120*r**5 + 2*r**2 + 0. Suppose l(q) = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -38925 and 0.0327?\nAnswer: -1272.8475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6*(-9)\/(189\/(-49)). Calculate the greatest common divisor of x and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -71871, 2, -2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/6*-24*90\/(-990).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 817400608?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 4 + 750*p - 2*p**3 - 749*p + p**2 + 1 to the form x*p + n + b*p**3 + q*p**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09131 to three decimal places.\nAnswer: -0.091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of 5*a**8\/56 - 5*a**4\/6 - 4*a. Find the third derivative of g(o) wrt o.\nAnswer: 600*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1814*a*c**3 - 3*a*c + a - 34 wrt c.\nAnswer: 5442*a*c**2 - 3*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25 - -11) + 9 + -1 + 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i - 2*i**2 + 1 + 3*i**2 - 3*i. Let w be 5\/6*3*2. Let n be v(w). Let d(z) = 2*z + 2. What is d(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1185 is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**3\/(b*(b*b**(-10))\/b))\/(b**(-11\/2)*b**(-11)))**(-12\/11) assuming b is positive.\nAnswer: b**(-342\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24334106 + 14*y - 24334106.\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -159.5 - -158.5. Which is greater: q or 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45049573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29899 + 30190. Solve -18 + c = 39*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 8*z + 1. Let t(i) = -i. Let w(g) = h(g) + 5*t(g). Let p be w(8). Let n = -5 + p. Solve -4*j + 2*v + 14 = 0, -2*v = -4*j + 2*v + n for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 160 and 32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of 0 - 5\/2*r**2 - 5\/3*r**3 + 2*r. Is x(-5) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 7*y + 6. Suppose 3*u - 120 = 2*i, y = -2*i - 3. Are u and 37 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 109, 208, 335, 484, 649, 824?\nAnswer: 1003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1450354 or -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d. Let r(x) = -20*x - 12. Let c(a) = -4*j(a) + r(a). Is c(-5) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d\/d**(-2\/61))*d*d\/(d\/d**(-5\/3))*((d\/((d*d*d\/((d*d**(2\/3))\/d))\/d))\/d)\/d*d*d**(1\/22) assuming d is positive.\nAnswer: d**(-2667\/1342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -299 + 298.758. Let w = -0.342 - v. Put 6, 1\/3, w in descending order.\nAnswer: 6, 1\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q**2 + 16*q + 36. What is the tens digit of u(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 5*n**2 - 5. Let q(l) = 10*l**2 - 2. Suppose -3 - 1 = z. Let w(p) = p**2 + 1. Let o(k) = z*w(k) + q(k). Let y(i) = 7*d(i) - 6*o(i). Factor y(v).\nAnswer: -(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*j + 2*j + 10*j)*(-2 + 3 - 3) + 2 - 2 - j + (-7 + 3 + 3)*(-2*j + 5*j - 2*j) in the form d + x*j and give x.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -2, 3, 1, 23, 119 in decreasing order.\nAnswer: 119, 23, 3, 1, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.45 rounded to one dp?\nAnswer: -20.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6544\/5 in -5, 3\/2, -0.75, -3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.15059*-0.05\nAnswer: 0.0075295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/92 and -37\/1492?\nAnswer: 34316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xexegxee. Give prob of sequence eeex.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -6, 14, 66, 162, 314, 534?\nAnswer: 834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 91273 by 14433.\nAnswer: 5369\/849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, b: 2, j: 2, l: 9}. Give prob of picking 1 q and 1 j.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k + 4. What is u(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a millennium in decades?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -27*j**2\/2 - 12*j - 10731. Let u(n) = -11*n**2. Calculate u(m(g)).\nAnswer: -8019*g**2 - 7128*g - 1584","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 3:48 PM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 2, g: 13, e: 5}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 16*l**3 + 18*l**2 - 1 + 8936*l - 22*l**2 - 8932*l. Let f(s) = -32*s**3 + 7*s**2 - 7*s + 2. What is -4*f(n) - 7*x(n)?\nAnswer: 16*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 92 - 89. Let s = 2 - 2. Suppose 3*z - 15 = s, 2*n + n - 4*z + 11 = 0. Is h at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-12)*i**(7\/10))\/(i*i*i**0)**(5\/12))**7 assuming i is positive.\nAnswer: i**(-1274\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 255484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.08 + -3.92. Let n = -4.1 - p. Which is the closest to n? (a) 2 (b) 0.2 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 140 + 17 = 3*y, 0 = 3*p + 2*y - 89. Let h be (-12)\/(-6) + (-240)\/(-1). Suppose -z + h = 26. Calculate the highest common divisor of p and z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 481?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, -5, 10, 4, 2, 1 in descending order.\nAnswer: 53, 10, 4, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of l**6\/60 - l**5\/10 + l**4\/4 - l**3\/3 + 7*l**2. Factor c(z).\nAnswer: 2*(z - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 1, -4, -5, 531 in descending order.\nAnswer: 531, 11, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 + (-3 - 6) + 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28987527.\nAnswer: 3, 9662509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00023221 rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1201102 - 1000122021?\nAnswer: -221220212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (8 + -22)) + (9 - (48 - -7))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54430 and 730?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29\/435)\/((-40)\/150)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1053 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 850, 0.7, -2\/9, -0.5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (29\/2)\/((-3)\/(-6)). Let p = u + 19. Calculate the highest common factor of 8 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a factor of 35018340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89989.\nAnswer: 89989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6570 and 24671445.\nAnswer: 148028670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11.5 + 11.99. Let q = -0.64 - j. What is q rounded to 1 decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 10 = v, 2*l - 5*v - 113 = 0. Let a be 94\/6 + 23\/l. What is the highest common factor of 8 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of 1\/7*b**4 + 1\/105*b**6 + 1\/7*b**2 - 4\/21*b**3 - 2\/35*b**5 + 0 + 12*b. Solve l(t) = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1145?\nAnswer: 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (4 - 2)*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16*44\/48*(-216)\/96.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12\/11? (a) 5238 (b) 0.1 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gjggggjgggggjjgggggj. What is prob of picking 3 g?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 3:52 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1)*h*h**7)\/(h**(-1\/8)*h**1))\/((h*h**12\/h)\/((h*h**(1\/13))\/h))**(-21) assuming h is positive.\nAnswer: h**(26677\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21.7*-0.43819.\nAnswer: 9.508723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.12391 - -0.1614. What is k rounded to 4 decimal places?\nAnswer: 0.0375","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19607 is divided by 31.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**3 - 606*f**2 + 47*f - 14247. What is q(303)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -90*x**2*z**2 - 3*x**2*z + 2*x**2 + 4*x*z - 306*x - 2*z**2 - 2 wrt x?\nAnswer: -180*z**2 - 6*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 4*p + 116, -2*t + 5*p = -4*t - 70. Suppose 16*k - 1022 = 30*k. Let m be k\/3 - 174\/261. Is m at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zmimvmwwtzzvivw. Give prob of picking 1 w, 1 t, 1 v, and 1 m.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a centimeter in millimeters?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2*1)\/2*-5. Suppose 1 + 5 = 2*f, 55 = 5*g + 5*f. Suppose 4*t - 4 = 0, 3*t = -a + g*t + v. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 220, 235, 250?\nAnswer: 265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3590 less than -1?\nAnswer: -3591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -g**3\/3 + g - 197. Let x(a) = -6*a + 161. What is j(x(w))?\nAnswer: 12*w - 322","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -14228 greater than 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -2*b. Let c(p) = -177*p + 23191. Let v be c(131). Solve b*m = -m + v for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1602 divided by -1602.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4*((sqrt(5) - (-2 + sqrt(5))) + 3) + -2.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3141.01 + 3156. Let k = f - -0.01. Let h = 15.1 - k. Which is the second biggest value? (a) -1\/10 (b) 2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 82 - 1639\/20. Let h = -1869\/5 + 276897\/740. Calculate the common denominator of h and y.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 653?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 120*r**2 + 11*r + 52. Let y be f(-5). What is the highest common factor of y and 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*f - 2685 = 2331. Let t be (-92)\/(-22) + 48\/f. Solve -3*w - 11 = -t*w - 2*g, -24 = -3*w - 3*g for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -17. Let r(h) = 3*h - 2*h + o*h. Let y be r(2). Let q(t) = 3*t - 1. Calculate q(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 4966818956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 12128.384 to the nearest integer.\nAnswer: 12128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(130\/(-15)) - (-2)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a + 3. Let q = 80 - 52. Let y be ((-18)\/21)\/(4\/q). Let u(t) = t - 1. Calculate y*u(n) - 2*l(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 + -35. Let c be (57\/(-38))\/(n\/8). Let -c - 2*x - 2\/3*x**2 = 0. What is x?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 4:19 AM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 30 = -10*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-11)\/(-44) + (-5)\/(-12))\/(40\/50). Let w be 4*-2 + 0\/4. Let a be w\/(-10)*(-10)\/(-4). Which is smaller: j or a?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (0 + -1 - -15117)\/((-3666)\/117 - -32)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -19586, -19619, -19674, -19751, -19850, -19971, -20114?\n\"Answer: -11*n**2 - 19575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 620 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 12008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -149 + 123 - -132 - 164\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2746833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 8:46 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 437 and 184.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 20 = -4*p. Suppose p*u - 9 = -b, -u = -b - 2*u + 17. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of -a**5\/60 + 7*a**4\/24 - 2*a**3\/3 - 6*a**2 + 1302*a. Let k(n) = n**3 + 3*n**2 - 3*n - 3. Let y be k(-3). What is g(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002904824 rounded to 6 dps?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 289*z**3 - 10*z**2 + 132*z**2 - 103*z**3 - 88*z**3 + 183*z**2 wrt z.\nAnswer: 588","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -6*f**2 + 2*f - 1211. Let h(p) = p**3 + 26*p**2 - 9*p + 4844. Let j(g) = -9*c(g) - 2*h(g). Find the first derivative of j(i) wrt i.\nAnswer: -6*i**2 + 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -7.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*y = 104*y - 63*y - 285 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 41*b**2 + 5*b. Let l be j(-2). Let h = l - 108. 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: Let a(t) = -3*t + 26. Let w be a(8). Find the second derivative of -7*l - 233 + 23*l**4 - w*l + 233 wrt l.\nAnswer: 276*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vu when two letters picked without replacement from {v: 6, o: 4, c: 1, u: 5}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -100 and -2.94.\nAnswer: -102.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, x: 17}. What is prob of picking 4 x?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2 - 1649*n - 3.\nAnswer: -1649*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 1580*j**2 + j. Let l be c(1). Suppose -v = -l - 698. Let y = -40871\/18 + v. Calculate the common denominator of 103\/6 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13117 in -1, 0.4, -262\/7?\nAnswer: -262\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1556 divide 55314841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - -3)\/(-3*6\/(-8646)). What is the greatest common divisor of 393 and v?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-2) + (-3)\/(-6). Suppose 0 = -3*m + 5*q - q + 16, 0 = q + j. Suppose 120 + 6 = 7*g. Calculate the lowest common multiple of g and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oool when four letters picked without replacement from yyooyooooolyoooyoy?\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/30306847 and 113\/402.\nAnswer: 181841082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y = 18*y - 32. Suppose y*p + 20 = 44. Solve 0 = -p*u - 4*u - 10 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 14875007, 14875006, 14875005?\n\"Answer: -t + 14875008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 118, -4, -51, 10 in ascending order.\nAnswer: -51, -4, -2, 10, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -z**3\/3 + 9*z**2\/2 + 15*z + 17. What is the remainder when 98 is divided by d(5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 3 = -k. Suppose 69 = k*x - 6. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.9092 - 0.9091981692. Round v to 7 dps.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 840297743 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 130 - 134. Sort 1, n, -18 in increasing order.\nAnswer: -18, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1335*h**2*t**3 - 7*h**2*t**2 + h**2*z + 2*h**2 - 489800*h*t**3*z + 2*h*t**3 + 41*h*t - 3*t**3*z wrt z.\nAnswer: h**2 - 489800*h*t**3 - 3*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppnnnnn. Give prob of picking 4 n.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 0.2, -234.4?\nAnswer: -234.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-3)*(-4 - -4). Suppose c = 2*v + 2*v - 8. Factor 2\/9*s + 0 + 4\/9*s**v.\nAnswer: 2*s*(2*s + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10481 - -10519. Solve -4 = -4*n, -l*o - 8 = -37*o - 5*n for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 125 = 81. Let c = -153 - -307. What is the highest common divisor of o and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 4:14 PM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7037225*i + 5060690 wrt i?\nAnswer: -7037225","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (93\/(-12)*-2)\/(5\/50) is divided by 153?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -130 + 182. Let z be q\/24 - (-2)\/(-12). Solve -z + 5 = k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ctttmctcrctctctcc. What is prob of sequence cm?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14082112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven halves of a microgram in nanograms?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**0)**40)**(-25)\/(((n\/(n\/(n*n**(-2\/11)*n)*n*n))\/n*(n**(1\/6)\/n)\/n)\/(n**(1\/3)*n*n\/n**(1\/12))) assuming n is positive.\nAnswer: n**(-131305\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -40*t**3 - 11*t**2 - 16*t - 7. What is the hundreds digit of g(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1008417 - 5188*v + 1008417)*(6*v**3 - 3*v**3 - 2*v**3) in the form u*v**3 + p*v + d*v**4 + o + h*v**2 and give d.\nAnswer: -5188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 219, 452, 683, 912, 1139?\nAnswer: 1364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4989 + 4992. Solve -5 = -o + p, 7 = d*o + 3*p + 4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20279 = -13*q + 78612. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (14 - 455\/28)*(-4)\/(-6). Sort 4, 7, 5, w, 2\/3.\nAnswer: w, 2\/3, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 6*b**2 + 11*b + 7. What is y(5)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -645*i + 12 = -642*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1533 - 1534. Suppose 4*t - 38 = y - 14, 3*y - 6 = -t. Sort -4, t, g in decreasing order.\nAnswer: t, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(75)*4 - sqrt(75))**2 + -4)*-1 + (6*2*(-2 + sqrt(75) - sqrt(75)))**2).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 186*c*w**3 - 1291*w**3 wrt c?\nAnswer: 186*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/10)\/((-33)\/(-18) + -2). Let b be 5 + k*(-15)\/9. Let d be -1 - (2\/4 - 0). What is the closest to b in 4, d, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 4*w - 2. Let z be s(5). Let t be ((-6)\/z)\/((-1)\/12). Suppose 46*d = 42*d + 100. Solve -3*r + 25 = 2*i - 4*i, 0 = -r + t*i + d for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/231280 and -13\/501241580.\nAnswer: 2004966320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 374928246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 v when three letters picked without replacement from {a: 1, s: 1, d: 1, h: 1, j: 11, v: 4}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.8, -25, 2\/15, -0.5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 5.78.\nAnswer: -23.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 4*g - 11 + 30, 9 = 2*n + g. Factor -62 - 46 - l**2 + n*l + 122.\nAnswer: -(l - 7)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 320577 divided by 24.\nAnswer: 106859\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -334 + 411. Calculate the remainder when p is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**2 + 33*o**3 + 17*o**3 - 5*o**2.\nAnswer: 50*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -9, 2*u + 15 = n + 7*u. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -4*p - b - 0*b + 6, 0 = 2*p + 83608*b - 83607*b - 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d**4\/3 - 3526*d**3\/3 - 262961*d**2 - 4446720*d - 19579644 = 0. What is d?\nAnswer: -194, -9, 3738","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -6*x + 5*x + 10, 12 = 3*x - 3*b for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6805 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6016879 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -0.027, 65\/6, -2.12, 1\/8 in descending order.\nAnswer: 65\/6, 1\/8, -0.027, -0.1, -2.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + a. Let f be c(5). Let o = -17 - f. Solve -o*d = -4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -148\/184207 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40*a**3*f**2*m**3 - 7*a**3*f**2*m**2 + 21*a**3*f**2 + 50*a**3*m**3 + 5*a**3*m**2 wrt m?\nAnswer: 240*a**3*f**2 + 300*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 4*r**2 - 2*r + 2. Let i be t(-2). Let y be ((-1)\/2)\/((-3)\/18). Let f(p) = -11 - y*p + 1 + 9 - p**2 + p**3. Calculate f(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36024 and 1422.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*m - 24*m = -538 - 491. What is the highest common divisor of 301 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 129\/(-602)*4\/3. What is the nearest to 28\/9 in -0.1, o, 0, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 26\/(-30))*(-56 - -50).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1562552 divided by -781276\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -149970, -300339, -450708, -601077?\n\"Answer: -150369*p + 399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + c**2 + 1. Let z(t) = 18*t**3 + 36*t**2 + 36. Calculate -36*q(g) + z(g).\nAnswer: -18*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 31, 14, -2, 50 in descending order.\nAnswer: 50, 31, 14, 11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1410774816 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 7. Let n = -5 + h. Suppose 3*l - 63 = -4*g, -n*l = -5*g - l + 55. Is 12 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -3*p**2 - 1099 + 1099 + 3*p**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 333229.41 minutes?\nAnswer: 231.4093125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4416\/224)\/23*(-7)\/(-4))\/(3\/(-32))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 2*n + 1. Let y(s) = -s**2 + 3*s + 1. Let o be y(3). Is n less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 12:18 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 74 or 9925\/134?\nAnswer: 9925\/134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 3. Let l be (v - (-1 + 0))*-2. Does 7 divide (42\/(-4))\/3*l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3907 is divided by 616.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-5))\/((-2)\/(-5))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000111011101 (base 2) to base 8.\nAnswer: -10735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 114 and 456.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 883.3 + -883. Put -1\/2, -2, 2\/5, 9\/7, y in descending order.\nAnswer: 9\/7, 2\/5, y, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -247 + 261. Let c = 14 + 6. Calculate the remainder when 1*-1*c*-2 is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-14)*(-6)\/(90\/21).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4*v - 120 = -7*i, -i - 3*v = -40. Let j(r) = 23*r + 4*r + 8*r. Let k(d) = -3*d. Let a = -5 + 7. Give a*j(q) + i*k(q).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6839920452?\nAnswer: 2, 3, 13183, 43237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1085, -1031, -977?\nAnswer: -923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1124*b**2*l**2*p**2 + 164*b**2*l**2 - 2286*b*l**2*p + b*l*p**2 - 29*l**2 wrt b?\nAnswer: 2248*l**2*p**2 + 328*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 17 (b) 14 (c) -1877 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i + 0 + 1 + 2*i**2 - i**3 + 3 - 3. Let q be j(-1). Is 1*22 - (1 - q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 4 (c) -244 (d) -1\/4 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -n**3*w**2 + 2*n**3*w + 3581*n**3 + 19*n*w**2 + 4742*n wrt n?\nAnswer: -6*n*w**2 + 12*n*w + 21486*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 5*t**3 - 7*t**2 - 9*t - 3. Let u = -4598 - -4602. Let w(h) = -7*h - 4*h**2 - h**3 - 2 + 2*h + 4*h**3. Determine u*k(b) - 7*w(b).\nAnswer: -b**3 - b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 191, 201, 223, 263, 327, 421, 551?\n\"Answer: u**3 + 3*u + 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/4)\/(n\/(n*n**6*n)))**(-9\/4)\/((n**(-1\/4)\/n)**(-1\/7)*((n**(-3\/2)*n)\/n)\/n*n*n*n**(-5)) assuming n is positive.\nAnswer: n**(-1357\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -12*378\/(-207) - (3 - -19)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, d: 3}. Give prob of sequence xdx.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/(-21)*210\/(-120)*(-8)\/22?\nAnswer: 15\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -4.19?\nAnswer: 20.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 13*f - 39. Let z be x(3). Solve -1\/2*r**2 + 0*r + z + 1\/2*r**3 = 0 for r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 477371148?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*10*-1)\/(-15*72\/2700)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 349014, 349011, 349006, 348999, 348990, 348979, 348966?\nAnswer: 348951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 122444 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -1 - 3*i**2 + 12*i - 6 - 5 = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 769368081 to the nearest integer?\nAnswer: 916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/4)\/(14\/16).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45784?\nAnswer: 2, 59, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 109*w - 2546. Let c be o(34). Solve l + 4*p = -c, l - 2*p - 23 = -21 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from okopq. What is prob of sequence kq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 23 + -9?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 20*p - 40*p + 22*p - p**2 - 132. Let f be b(0). What is the least common multiple of 14 and 1\/(-2)*f\/11?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/42000 and -161\/150.\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*k = 0, 9*t = 12*t + k - 7. Suppose -7*l + 4*l = -2*y - 40, 0 = -l - 2*y. Solve l = -t*b + 7*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**2 + 3*c**2 - 17 + 17.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -476356?\nAnswer: -476356","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.183632 - -398.\nAnswer: 402.183632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -40227*z + 4465206. Calculate v(111).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-30)*(-63)\/(-105)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -507208858*m**3 + 313713289*m wrt m?\nAnswer: -3043253148*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12464 + 0.0125494.\nAnswer: 12464.0125494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 449 - -275. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5519\/208 + -336\/13. What is the common denominator of r and 3 - 2*(-433)\/(-256)?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 10*x**3 - 6. Let q(u) = -10*u**3 + 7. Let v(j) = -2*q(j) - 3*y(j). Differentiate v(p) with respect to p.\nAnswer: -30*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -4*f**2 - f + 226. Let p(d) = -664*d. Give p(c(y)).\nAnswer: 2656*y**2 + 664*y - 150064","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -389 + 64723?\nAnswer: 64334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 365*b - 495 = 398*b for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59089667.\nAnswer: 7, 13, 199, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, l: 4, s: 3, a: 1, w: 2, j: 2}. What is prob of sequence jssw?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38093, -304943, -1029261, -2439779, -4765229, -8234343, -13075853, -19518491?\nAnswer: -27790989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10c5a8c (base 13) to base 12\nAnswer: 189b050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 561 or 621?\nAnswer: 621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1562 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 963 - -1000213?\nAnswer: 1001176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 2*c + 1. Let o = 21738 + -21667. What is the remainder when o is divided by i(-5)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3 - 64*z**2 + 125*z - 62.\nAnswer: (z - 62)*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 515.689 rounded to the nearest ten?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 - -da2dce7?\nAnswer: da2dce0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -19*f**6\/30 + 4*f**2 + 7*f - 4. Let x(u) be the first derivative of j(u). What is the derivative of x(b) wrt b?\nAnswer: -76*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/7, 2, 105\/37?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 2*q + 10 = 0. Suppose -5*u - 4*n + 1131 = -0*u, q*n - 243 = -u. Let r = 344 - u. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 5*q - 69, 0*p = -p + 5*q - 43. Suppose -4*c = 5*f + 83, -4*f + 2*c - 58 = c. Let n = f - p. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l - 6. Let h(f) = 5 - 4 + 0. Suppose -2*i - 2*t + 12 = t, -4*i + 2*t = -40. Let c = 8 - i. Give c*u(k) - 5*h(k).\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -109 + 29. Put q, 3, -1, -5 in decreasing order.\nAnswer: 3, -1, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157294 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1427670552?\nAnswer: 2, 3, 7, 11, 101, 7649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 10*w**2 - 276*w - 714. What is b(30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 81327 divided by -1\nAnswer: -81327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + -10. Suppose -39 = -a*l + 65. What is the remainder when l is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a minute in milliseconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -5*m + 145. Let k = 40 - m. Let f = 30 - 10. What is the remainder when f is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*j + 3*q + 4, 4 = -4*j - 2*q. Suppose j = u + 2*u - 15. Let n = 4 + -2. Solve -n*b + u*b = -12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/69373 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 3.1. Suppose -3*p - 3*g - 110 = -2*g, 0 = 3*p - 2*g + 122. Let h be p\/14 + (-14)\/49. What is the nearest to -1 in s, h, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185081145 to the power of 1\/3, to the nearest integer?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 - (40 - 46) - -44?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 97534575*t**3*w**2 - t**3 + t**2 - 83*t - 11846 with respect to w.\nAnswer: 195069150*t**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 4*b - 2, 4*m = -b - 2 + 16. Solve -4*n + m = -5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 4*c**2 - 13*c + 11. Let j(f) = 2*f + 62. Let z be j(-28). Let a be w(z). Suppose 0 = a*i - 830 - 445. Is 51 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 21*v - 11*v + 43*v**3 - 29*v**3 + 7*v + 8 + 17*v**2 - 15*v**3. What is i(18)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1, -15, -37, -67?\n\"Answer: -4*x**2 - 2*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13 + -1246596?\nAnswer: -1246583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t - 14. Let d be f(-7). Factor 2\/5*s**3 + 0 - 1\/5*s + d*s**2 + 0*s**4 - 1\/5*s**5.\nAnswer: -s*(s - 1)**2*(s + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - g**2 + 1 + 2 - 17*g.\nAnswer: -g**2 - 17*g + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 - 0.2. Let x = l - -0.3. Suppose -2*s - 2*o + 1 = -s, o = -4*s - 10. What is the second smallest value in 0, x, s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 4*i + 28, 60684*c - 60683*c - 32 = 7*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -119\/258?\nAnswer: -119\/258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.1456017 to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2102 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 i when two letters picked without replacement from {o: 9, i: 1, e: 4}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/228432 and 107\/41860164?\nAnswer: 167440656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384)*1 - (sqrt(6) - sqrt(48)\/(sqrt(32)\/sqrt(4))))\/(sqrt(36)\/(sqrt(432)*-2 - sqrt(432) - sqrt(12))).\nAnswer: -152*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 769418596 to the nearest integer?\nAnswer: 27738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 236673.76 and -12.2?\nAnswer: 236685.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -231\/2*c**3 + 0*c + 0 + 57\/2*c**2 + 6*c**4.\nAnswer: 3*c**2*(c - 19)*(4*c - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -690 + 692. What is the closest to -1 in w, -4\/5, -3, -2\/3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4 - 7736*w**3 + 7480712*w**2.\nAnswer: 2*w**2*(w - 1934)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 1. Let d be 2\/(21\/(-15) + 1). Let c(m) = -m**2 - 6*m - 7. Let y be c(d). What is the remainder when 9 is divided by x(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5493 + 8834. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -78 + 66. Let i(k) = -k**2 - 25*k - 51. What are the prime factors of i(t)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 3259*b**2 + 32689*b + 5. Determine w(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**4\/8 - 188373*m**3\/2 + 23656634829*m**2\/4 - 23656069713*m\/2 + 47311762683\/8 = 0 for m.\nAnswer: 1, 125581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 101*f + 27 = 106*f, 0*y = -0*y + f - 3 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -9, -5, 1742, 5 in ascending order.\nAnswer: -9, -5, 0, 2, 5, 1742","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 - 13. Let n = j - 13. Suppose -6*s + n = -5*s. What is the highest common factor of 6 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93926, 93924, 93922, 93920?\nAnswer: 93918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 - 32*w + 13. Determine f(-33).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 62*p**5 - 111*p**2 wrt p.\nAnswer: 3720*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5*((-568)\/5 + 0). Suppose 4*z - 3*j - 1459 = -z, i = 2*z + 4*j. Let d be z\/14 + 4\/14. Calculate the highest common divisor of 14 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-34)\/(-9) + (-6)\/(-27). Suppose -8*h + 103 = -t*h - 3*s, -6 = -2*s. Suppose -3*x + 5*k = 4, 5 + h = 4*x + k. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -13. Let t = -12.21936 - 1.7802. Let y = t + g. Round y to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000260061 to 7 decimal places.\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/57 (b) 1\/7 (c) -104\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -24 + 19 - (13 + 15 + -10)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267728 is divided by 147?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 5509*v + 168. Let b(w) = -648*w - 20. What is -42*b(n) - 5*o(n)?\nAnswer: -329*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 - -66. Let v = 719\/7 - k. Let m(q) = -q - 2. Let d be m(-2). Sort d, 1, v.\nAnswer: v, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35.6 + -36. Which is the third smallest value? (a) 3 (b) m (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*f + 6 - 4 + 6 - 2.\nAnswer: -18*f + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -13115700 to the nearest 100000.\nAnswer: -13100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5090224?\nAnswer: 2, 83, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10057, 10021, 9985, 9949, 9913?\n\"Answer: -36*y + 10093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 468634 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + g - g)*(-3*g**3 - 2*g**3 + 0*g**3).\nAnswer: 10*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -5*d**8\/112 - 7*d**4\/8 + 3*d**2. What is the second derivative of r(j) wrt j?\nAnswer: -300*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 0.054?\nAnswer: 0.0054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 189613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of 236*d**3\/3 + 737. Let p(w) = 10*w. What is o(p(x))?\nAnswer: 23600*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -30423 (base 7) to base 8\nAnswer: -16370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33921090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 98 and 2618.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2265 by -1807.\nAnswer: -2265\/1807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 200*h**2 + 9*h - 1. Let c be i(1). Calculate the greatest common divisor of 78 and c.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 4*h - 63 = -266, 4*h = 225*o + 6690 + 2093 for o.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50 - -203. What are the prime factors of t?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in -0.1, 3, 1\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(-2 + 3) + 4. Suppose 23 = 3*h - 2*f - 39, -3*f = n. What is the remainder when h is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**1*b))**28 assuming b is positive.\nAnswer: b**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 475 - 4*u**3 - 5818 + 4339 + 479 + 525.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 7*w. Let d(g) = -g**3 - 3*g**2 + 2*g - 8. Let f be d(-4). Let r(j) = -3*j - 3*j + f*j. Calculate x(r(p)).\nAnswer: -42*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7843?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*d**2 + d**2 - 10*d**2 - 20*d**2.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k - k + 1 + 8*k.\nAnswer: 8*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*x - 137*x - 172*x + 1689050. What is the highest common factor of 148 and x?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*n - 99*n = 23397 + 11207. What is the smallest value in -1, 2\/13, -1\/6, n, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**17)\/h**(1\/11))\/((h\/h**(-2\/19))\/h**(-5)) assuming h is positive.\nAnswer: h**(2676\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96058 is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.96 - 6. Round b to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 0. Let w be (4\/(-2))\/(-3*(-4)\/(-96)). Suppose -3*s - w = -13. Are s and u nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + g**2 - g - 1. Let n(d) = -12*d**3 + 11*d**2 - 10*d - 10. Let w = 12 + -10. What is w*n(u) - 22*m(u)?\nAnswer: -2*u**3 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 14*v**2 - 2623*v - 7979. Determine m(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 3. Let z = m - -19. What is the units digit of (-4)\/z + (-112)\/(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11743036.\nAnswer: 2, 107, 27437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9077*b**3 - 3801*b**3 - 4*b**2 - 4187*b**3 + 4*b**2.\nAnswer: 1089*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjv when three letters picked without replacement from {v: 1, j: 14}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/10 + 33\/15. Suppose 0 = -4*a + j*a + 16. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/2 and 44\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(17 + 165\/(-10)) - (22 - -1)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 299988 (b) -3\/2 (c) 4 (d) -1\/8 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + sqrt(171)*2 + sqrt(171))*6)**2 + -4 - ((sqrt(171) + 1)*-3 + -4).\nAnswer: 9*sqrt(19) + 98499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.24 in -0.3, -2\/3, -1\/6, -6\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4551 and 1335589.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -7*v**2 - 21*v - 4. Let y be z(-3). Is 1\/5 - y\/20*3889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 36*h**2 + 12*h + 164. What is n(-36)?\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, 185, -17?\nAnswer: 185","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1988*u + 936*u + 26316 = 0 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -5*p**4\/12 - 4*p**3\/3 - 5*p**2\/2 + p. Let x be s(-5). Calculate the common denominator of 8\/(-12) - 231\/x and -5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 10844979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -110111001000001111 (base 2) in base 5?\nAnswer: -24211212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1272)\/(-371)*(-728)\/78.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-20)\/12)\/((-3)\/27). Suppose 2*f = 29 - p. Calculate the smallest common multiple of f and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 - 84975?\nAnswer: -84980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 558 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1950 and 42.\nAnswer: 13650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 11. Let s be (3 - 4)*(-2 + a). Suppose -36 = -s*u + u. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 20112?\nAnswer: 20120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xuux when four letters picked without replacement from {u: 5, x: 5}?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 11 = 4*j, -147*j + 148*j + 5*a + 26 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47217.\nAnswer: 3, 15739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/79 in 0.4, -0.1219, -2, 3\/5, -0.2?\nAnswer: -0.1219","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) + 2)*4 + -2*(sqrt(99) + -1))**2.\nAnswer: 520*sqrt(11) + 7536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 190*q**2 + 1155*q + 254028. Calculate s(-189).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.18457037 + -0.166579\nAnswer: 0.01799137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4\/9 - 4*r**3 - 83*r**2\/9 + 160*r.\nAnswer: -r*(r - 5)*(r + 9)*(r + 32)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 2:01 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 324*n**3 - 15736752*n**2 + 34969360*n - 19427200 = 0.\nAnswer: 10\/9, 48568","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11\/33 + (-2 - -1). Let p = 2\/27 - 31\/54. Let u = 0.47 + -3.47. What is the closest to j in p, -5, u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 4*a - 12. Let l be a\/(-16) - (-358)\/(-8). Let v = -27 - l. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2)*k*(k\/(k\/(k\/k**(6\/13))))\/k assuming k is positive.\nAnswer: k**(-19\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5596 is divided by 178?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -5*i + 4. Let g = -34 + 30. Let n(s) = 5*s - 5. Let m(o) = g*n(o) - 5*a(o). Let r(j) = -6*j**2. Give m(r(p)).\nAnswer: -30*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4*z + 16 = 0, -6*j - 3*z = -2*j + 7. Suppose -3*r = 4*u - 12535, 0 = u + j*r + r - 3145. Round u to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20536483787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, j: 2, d: 1, v: 1, f: 1, s: 1}. Give prob of sequence fvdb.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10 + 4)*9\/(-6). Suppose -2*w = -5*o - 0 - 9, z = -3*w. Let h be 4 - (o + -1 + -7). What is the greatest common divisor of h and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2874303?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 226625 less than 226641?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 12) to base 9\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -0.2 (c) -1 (d) 132 (e) -33\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 280469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 6:50 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 4*t + 5. Let j be s(5). Let r be j\/55 - 20\/(-11). Suppose -2*o - 5*q - 37 = 0, -o + 5*q - 9 = r. Is o at most -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.4 + 13.7. Let c = g + -6. Let r = 0.05 - -1.95. Put 5, c, r in descending order.\nAnswer: 5, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -7*l + 5. Let n(b) = 6*b - 5. Let z(j) = 3*n(j) + 4*p(j). Give z(4).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 + (3\/1 - 5). Suppose -4*g + 5*n + 59 = 0, o*g = -0*n + 2*n + 74. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -177200*f**5 - 2*f**4 - 524685*f**2.\nAnswer: -10632000*f**2 - 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 221108442 to the nearest integer?\nAnswer: 14870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 56 = -w + 3*j, -5*j - 196 = 3*w. Let k = w + 98. Let u = 36 - k. Solve u = -4*r - 3*o + 10, -4 = -3*o + 5*o for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 413928 is divided by 221.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-22)\/v)**(-2\/47)*(v*v\/((v*v**(-4\/3))\/v))**(-44))**23 assuming v is positive.\nAnswer: v**(-472466\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + -1)\/(-10 + 11). Suppose -3*o = -13 + g. Suppose 4*z - 56 = -2*x, -2*x + 9*z - o*z = -47. What is the remainder when x is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/8? (a) -1 (b) 1.77 (c) 317\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*i = -21, -8 = -3*i - i. Let g(f) = 4*f + 2. Is 7 a factor of g(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294532 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**4\/11 - 1412*d**3\/11 - 13918*d**2\/11 + 1412*d\/11 + 13920\/11 = 0. Calculate d.\nAnswer: -696, -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2448 + 4948 - 2462 + 56*k + k**2.\nAnswer: k**2 + 56*k + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(2\/3)\/z)\/z*z**3\/z)**30 assuming z is positive.\nAnswer: z**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -14633, -28842, -43051, -57260?\n\"Answer: -14209*r - 424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25207 is divided by 1247.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 5*j + 486. Let t(f) = -4*f - 667. Let y(i) = -4*p(i) - 3*t(i). Give y(15).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 27 in -2, -127, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1127301*i**4 + 376881.\nAnswer: -4509204*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 54 + 46. Suppose -23*b = -22*b - u. Solve -7 = b*l + 5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -111 - -365. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -19*o**2 - 19*o + 10. Let g(v) = -51*v**2 - 56*v + 30. Give -3*g(w) + 8*i(w).\nAnswer: w**2 + 16*w - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 155059.22 rounded to the nearest 100?\nAnswer: 155100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 81 + -48. Calculate the smallest common multiple of 6 and n.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5\/51 (b) -2 (c) 2\/9 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 74*239\nAnswer: 17686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 708324 rounded to the nearest ten thousand?\nAnswer: 710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23270657 * -0.3.\nAnswer: 6981197.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -3. Let d(r) = r - 4. Let l be d(w). Let m be 0*(4\/2 - 1). Sort l, -2, m in increasing order.\nAnswer: -2, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 7*l**3 - 13*l**2 + 17*l + 17. Let b(a) = -3*a**3 + 6*a**2 - 8*a - 8. Let t be (6 + -2)*(-54)\/24. Let o(y) = t*b(y) - 4*m(y). Give o(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 p, and 1 m when four letters picked without replacement from {m: 2, o: 3, p: 3}?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 714374?\nAnswer: 5\/714374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -409.\nAnswer: 40.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 445944162?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9452 and 552942.\nAnswer: 1105884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-one sixths of a millennium?\nAnswer: 82000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (79 + 0*y - 29 + 5*y + 108)*(11 - 11 + y**2) in the form x*y**2 + w*y + f + q*y**3 and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1215198 - 59541008\nAnswer: -60756206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 18 = -5*f, -5*f + 6 = -6*j + 4*j. Solve 3*h = -3*p - 0*h - 6, h = -j*p - 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 11*b**2 - 11*b + 7. Let w(t) = 5*t**2 - 5*t + 3. Let v(n) = 5*w(n) - 2*z(n). What are the prime factors of v(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of 66*n**7\/35 - n**6\/30 + 894*n**3 - 8140*n**2. Differentiate f(i) with respect to i.\nAnswer: 1584*i**3 - 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9306 - -9236.87. Let f = y - -0.13. Let m = f + 68.57. What is m rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105 and 11410?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1267359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 2:33 AM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f + 3*f + 6. Suppose -13*z = -17*z + 288. Suppose 0 = -8*k + z - 8. Calculate the greatest common divisor of k and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 r when four letters picked without replacement from rxrrrrrxrrrrr?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 7*a - 1533. Suppose -7*z + a = -122. Calculate the smallest common multiple of 18 and z.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of o**5\/10 - 3*o**4\/4 - 2*o**3\/3 - 2*o**2 + 4*o - 205. Calculate d(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n + 2. Let x(b) = b + 3. Let j = -10 - -6. Determine j*x(d) + 5*l(d).\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 1:48 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*g**3 + 5455*g**2 - 6880*g - 8220 = 0. Calculate g.\nAnswer: -274, -3\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 79 - 65. Suppose -5*z - j + 49 = 0. Suppose z*k = 16*k - 207. List the prime factors of k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-7)*k)\/(k*(k\/(k**(-7)*k*k*k))\/k)*k**(-1\/7)*k\/((k\/k**(2\/7))\/k)*k*(((k*k\/(k\/k**(-10)))\/k)\/(k**(-1)*k))**(6\/13) assuming k is positive.\nAnswer: k**(-1226\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19275050, -19275065, -19275082, -19275101?\nAnswer: -19275122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6977599.8 + 422069.8. Let r = d + 6555483.99963. Let n = 46 + r. Round n to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324 a factor of 502920901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*y + 8*y - 3*y - 2*y + 23*y**4 wrt y.\nAnswer: 276*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -4*r + 56. Let n be (-3 - (1 - r)) + 2. Suppose -k + 24 = -0*k - 5*l, 2*k - l - n = 0. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1689\/360)\/1 + (-2)\/5 and -151\/144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3 + 42*g + 4 - 7. Let v(l) = 2*l. Calculate q(v(y)).\nAnswer: 84*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 4, -10\/7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 10:21 PM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44.35 - -44. Let l = 1.35 + m. Is 2\/11 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3\/8 - 15*u**2\/8 + 3*u\/2.\nAnswer: 3*u*(u - 4)*(u - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g + 6. Let q be b(-4). Let p(i) be the first derivative of -1\/12*i**3 + 3\/16*i**4 + 0*i**q + 0*i + 1\/24*i**6 - 3\/20*i**5 - 1. Factor p(h).\nAnswer: h**2*(h - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ookt when four letters picked without replacement from {k: 7, o: 5, t: 8}?\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 7*o**2 + 5*o - 5. Let v be i(-5). Suppose 1114 = n - v. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5344 (base 6) to base 8.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ivli when four letters picked without replacement from lilvvilillv?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**2 + i + 1. Let n be w(-1). Is n at most as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*u = -4*r + 125*u, -2*r + 3*u + 2 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -31.1473 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.562914 minus -0.4?\nAnswer: 2.962914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l - 33*l = 105*l - 2736 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dbpod.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1201 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16293 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7899741 is divided by 766.\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(539) - (sqrt(539) - (2 + sqrt(539))) - sqrt(539))*-3 + sqrt(539) + sqrt(539)*1 + 5))**2.\nAnswer: -252*sqrt(11) + 19413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -27544418.02 rounded to the nearest 1000000?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*u + 573940 = -300734. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2 + 2*f - 7. Calculate b(-5).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5010567929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -14*r**2. Let x(k) be the first derivative of 9*k**2\/2 - 694. What is x(a(v))?\nAnswer: -126*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*v**2 - 1 - 2*v - 23 + 56*v**2 to the form q + o*v**2 + i*v and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -5 - (11 + -25 + 25).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of o**6\/120 + o**5\/20 - o**4\/12 + 2*o**3\/3 - 4*o**2. Let l = 1 + -4. List the prime factors of z(l).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20057\/42 - -1432\/3. Find the common denominator of (-142)\/32 - 111\/(-37) and f.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 361986643?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 400 and 22450.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14449?\nAnswer: 14449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g**18*g*g)*g*g*g))**(-14)*(g**(-43))**(-42) assuming g is positive.\nAnswer: g**1568","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 6 = -5*p, -3*c - 1 = -3*p - 7. Suppose 2*x + 0*x = p. Let k be 0 + 50 + x + 0. What is the highest common divisor of k and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, b: 1, s: 5, o: 2, x: 2, u: 2}. What is prob of sequence sou?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9245?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -435.3 - -81.3. Let y = 353.99761 + a. Round y to 4 dps.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2 - 3 + b + b - 3*b. Let t be p(-8). Suppose -5*z + 25 = -m + t*m, -2*z - 14 = -4*m. Solve 3*x = v + 1 + 12, m*x - 3*v = 27 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8e (base 15) to base 8.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1054220 is divided by 117130.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41\/369*-9*22.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -8*n - 65. Let l = 4 - 5. Let d = l + 2. Calculate the smallest common multiple of x(-9) and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*q - 583547 = -2972507. Round q to the nearest one thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10222 (base 3) to base 5.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 26*c**2 - 98*c - 183. Is 63 a factor of i(34)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**2 + 48*k - 186. Let d be t(19). Suppose -d*v = 0, -v = 4*x + 54 - 158. Calculate the remainder when 103 is divided by x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8496.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.6 + -0.4. Which is the third biggest value? (a) o (b) 1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 10:36 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39066, -39069, -39074, -39081, -39090, -39101, -39114?\nAnswer: -39129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39964 by 5.\nAnswer: 39964\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 7986832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -328, -339, -364, -409, -480, -583, -724?\nAnswer: -909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w - 3*w - 1 - 5*w)*(-3*w**4 + w**4 + 0*w**4).\nAnswer: 6*w**5 + 2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -277 = -46*a + 45. Calculate the smallest common multiple of a and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38287?\nAnswer: 38287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 206 - -67?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4095766499 to the nearest integer?\nAnswer: 1600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -4*l - 26. Is c(-11) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2342)\/(-11) + 2 - 9\/(-99)) + 7. Solve -225 = z - h for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (165\/840)\/(6930\/(-3780)).\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -99*t**2 - 22*t + 22. Let o(g) = 14*g**2 + 3*g - 3. Determine 3*c(q) + 22*o(q).\nAnswer: 11*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23940 and 4788?\nAnswer: 23940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(1 - (-11)\/(-12)). Suppose 2*d - 16 = 24. Let m = x - d. Solve m*f - 4*z - 20 = 0, -z - 25 = -5*f + z for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 16) to base 7\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -42471*x + 4844. Let r be w(-36). What is r rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**5*v\/((v**4*v)\/v))**(-44\/3) assuming v is positive.\nAnswer: v**(-88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-40)\/(-35))\/((-6)\/(-7)). Suppose -14\/3*l**3 + 2\/3 - 10\/3*l + r*l**4 + 6*l**2 = 0. What is l?\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -b**6\/360 + 7*b**4\/4 - b**2 - 44*b. Let r(g) be the third derivative of z(g). Let y(l) = -67*l. Give r(y(h)).\nAnswer: 134*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 16*q**2. Let d(v) = -2*v + 313. Give d(h(z)).\nAnswer: -32*z**2 + 313","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6695677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 9:37 PM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 37 = -5*i, 4 + 10 = -o + i. Let t = o - -6. Let z = t + 29. Calculate the greatest common factor of z and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.24 and 26.92.\nAnswer: 26.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*m**4 - 162*m**3 + 223*m**3 - 2*m**4 - 63*m**3 + 50 - m**2 to the form d*m**3 + u + g*m**4 + k*m + v*m**2 and give u.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 3*q + 7, -5 = -6*j + 3*j - q. Suppose j*d + 3*d = -20. Sort -3\/2, d, -2\/7 in increasing order.\nAnswer: d, -3\/2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6184*x = -3*k - 6189*x + 37, 2*x = -7*k + 38 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(76))*-2 - ((sqrt(76) + -2 - sqrt(76))*3 - sqrt(76))**2)*-1.\nAnswer: 118 + 28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 16*i = -7*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15808*y + 15788*y = 720 for y.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 91, 827, 2813, 6673, 13031?\n\"Answer: 104*i**3 + i**2 + 5*i - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -4*z + 63. Let t be b(15). Solve 5*u - t*w = 3*u - 1, 2*w = -u - 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -668?\nAnswer: -668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/4*(-1808)\/(-678) + (-151)\/(-25).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r + 16 - 37 + 11 + 13. What is d(-7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 604494, 604488, 604472, 604446, 604410, 604364?\nAnswer: 604308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7\/(-49))\/((-15)\/6 + 3). Which is the second smallest value? (a) 0.04 (b) v (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-15)\/4)*12\/(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, d: 3, t: 5, k: 7}. What is prob of sequence tzzd?\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 5*k**2 - 6*k + 4. Let r be v(6). Let q = 50 - -155. Suppose -r*d + q = d. List the prime factors of d.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21*((-48)\/(-42))\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventeen halves of a millimeter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -686210 rounded to the nearest 10000?\nAnswer: -690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6 - (60\/(-33) + 2\/(-11)). Let v(d) = 2 - 2*d + 0 + 5*d. Determine v(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 4, -1\/165, -10?\nAnswer: -1\/165","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dld when three letters picked without replacement from lvzlddjv.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence phnn when four letters picked without replacement from hnnpnhn.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175 is divided by 53?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 247232409?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c + 75, 30*v + 33*v + 2*c = 68*v + 25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t + 3*l + 100, -t - 677 = -4*l - 680 for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -742784500829 from 0.4.\nAnswer: 742784500829.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/4688056 and 35\/9.\nAnswer: 42192504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -1 (b) -0.5 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10312661?\nAnswer: 29, 355609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h - 140*h + 107*h + 4*h.\nAnswer: -24*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 - 630*w**3 + 11*w**2 + 0*w**2 + 10 - 11*w**2 to k + n*w**2 + f*w + i*w**3 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 5:15 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 2:15 AM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (42 + (-7 - 54)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.07 - -0.07. Let z = -3902 + 3901. Put q, 2\/11, -0.3, z in descending order.\nAnswer: 2\/11, -0.3, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 91910 or 91911?\nAnswer: 91910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62089.\nAnswer: 29, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/2)\/((-3)\/(-298)). Suppose x = -2*i + 70, x + i = -x + v. Suppose -q + x = 4*g, 2*q - 5*g = -10*g + 137. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 717775127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.9 - 10. Let y be (1\/(-6))\/(48\/(-64)). Which is the closest to -1\/5? (a) -4 (b) d (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 8, s: 2, h: 3, z: 4, u: 1, l: 2}. What is prob of picking 1 l and 1 u?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 24*o**2 + 2*o - 2. Suppose -2*x = 2*x - 8. Let k be b(x). What is the highest common factor of 14 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -410124?\nAnswer: -410122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003866792 to four decimal places.\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 667? (a) -1\/2 (b) -24 (c) 2\/3 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of x**3\/3 + x**2\/2 + 18*x - 7. Let a be m(0). Calculate the greatest common factor of a and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 440 and 424820?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1135, -2, -2\/9, -1.224?\nAnswer: -1.224","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -512 + 568. What is the common denominator of (-1 - -8) + (-413)\/r and 9\/22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 4 + 2. Let i(w) = 32*w**2 + 2*w + 1. Let l be i(o). Suppose 4*z - l = 83. Calculate the highest common factor of 6 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 40195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -444582 by -2.\nAnswer: 222291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 50\/(-40) + 26\/8. Let h(w) = -17*w**2 - 13*w**o + 25*w**2. Let k(r) = 0*r**2 - 5*r**2 + 3*r**2. Calculate k(h(z)).\nAnswer: -50*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tj when two letters picked without replacement from prmmtwjpttp.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/32 + 1\/20. Which is the biggest value? (a) u (b) -0.5 (c) 2 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*z = 70*z - 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40 + -1. List the prime factors of a.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 286*u**2 + u - 1. Is f(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(7\/6)*f\/((f\/f**(1\/8))\/f))\/(f**(3\/5)*f\/(f\/(f**(1\/4)*f)*f)) assuming f is positive.\nAnswer: f**(293\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -354*u + 344*u + 24480. Which is the closest to u? (a) -1\/3 (b) -2\/7 (c) 1\/4 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 0.4. Let b = 0.68 - -2.4. Let s = b + -0.08. What is the third smallest value in s, -4\/5, o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 90345306*y**2 + 23337. Let l(m) = -7743*m**2 - 2. Give -2*h(q) - 23337*l(q).\nAnswer: 7779*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -573 + 571. What is the third biggest value in z, -17\/11, 2\/11, -3, -0.5?\nAnswer: -17\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 86985.11 litres?\nAnswer: 86985110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 353487383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 440 = -47*c + 52*c, 4*a - 2*c = 428. Calculate the greatest common divisor of 84 and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-8) + -5)\/(165\/110)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 12.9.\nAnswer: -1.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-1 + ((-25)\/(-20) - 0)). Is 7174503\/294 + c\/56 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 4) in base 15?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 24, -4, 1\/5, -0.043?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 5*z**3 + 8*z**2 - 8*z - 31. Give f(-4).\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 119*m - 615. Let q be n(5). Let r(k) be the second derivative of -2*k**2 + 1\/20*k**q - 6*k + 1\/3*k**3 + 0 - 1\/4*k**4. Determine r(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1117*o - 10 = 1115*o, -2*o + 15 = 5*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -9*m + 142. Calculate x(16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 8 + 0)*(-190 - 199 + 398 - 15*l + (l - l - 2*l)*(1 - 2 - 1)).\nAnswer: -44*l + 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21.6 + 21.68. What is the third smallest value in -7, h, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/53972?\nAnswer: 3\/53972","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 560 divide 19418783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7230443 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88492?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -7*l**2 + 3*l - 3. Let m(x) = 3*x**2 - x + 1. Let a be (2\/(-4))\/(7\/126). Let b be a\/2 - (-1)\/(-2). What is b*m(n) - 2*i(n)?\nAnswer: -n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/5)*y)**6*(y**(2\/7)\/y)**(-7\/5))**(-16\/3) assuming y is positive.\nAnswer: y**(-752\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (-14 - -7) - 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, 1, -324 in increasing order.\nAnswer: -324, 1, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3*sqrt(567) + 3)**2 + (sqrt(112) + -3 - sqrt(42)\/sqrt(216)).\nAnswer: 671*sqrt(7)\/6 + 5104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -176 (base 8) in base 14?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-4) + (-6)\/12. Let z = 4 + u. Calculate the remainder when 17 is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -6)\/1 + 1. Let b = s - 0. Solve 25 = -h + b*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 455067086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of r**7\/63 - r**6\/135 - r**5\/30 + r**4\/54 + 5*r. Suppose d(c) = 0. Calculate c.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**2 - 2*m**2 + 5*m**2)*(0*m - m + 0*m) + 15*m**3 - 38*m**3 + 7*m**3 + (6*m - m + 12*m)*((-3 + 1 + 3)*(1 - m**2 - 1) - 7*m + 7*m + 3*m**2).\nAnswer: 19*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18217*y**3 + 2*y**2 + 1645.\nAnswer: -109302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -15004109 divided by -3\nAnswer: 15004109\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3 (b) -15 (c) -2.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -36 != -39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203 is divided by 106.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3826420?\nAnswer: 2, 5, 13, 14717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.29 - 2.29. What is the closest to l in -3\/2, -1305, -0.4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*1 + 8\/((-8)\/(-2)). Let n = 10 + -4. Suppose -n = i - x*i. What is the greatest common divisor of i and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -687 + -be?\nAnswer: -745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -255*b - 246. Let v be f(-5). Calculate the greatest common factor of v and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*a + a**3 - 3*a**2 + 15*a + 6*a**2)*(27 + 14 + 6).\nAnswer: 47*a**3 + 141*a**2 - 94*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1035733998?\nAnswer: 2, 3, 13, 1607, 8263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 11, a: 5}. What is prob of sequence kkaa?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 15*q**2 + 46*q - 121. What is the remainder when u(13) is divided by 670\/60 - (-2)\/(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 2*v - 3. Let r(p) = p**2 + p - 2. Let u(t) = -2. Suppose 0 = -y - 5*a + 2, -5*a = y - 6*y + 10. Determine v*u(n) + y*r(n).\nAnswer: 2*n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u - 27 = -75. Let g = 3 - 3.4. Which is the closest to -0.1? (a) u (b) 1\/11 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -5, 273, 29\/3, 77?\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*d**2 - 5*d**2 + 4*d**2 + (3 - 3 + 2*d)*(0 + 0 + 2*d) + 4*d**2 + 2*d**2 - 2*d**2 as u + p*d**2 + z*d and give p.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8636332.\nAnswer: 2, 2159083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12285 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - -1)\/(2\/(-4) + 0). Differentiate 47 - 71 + 6*k + o*k + 11*k with respect to k.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -943 + 942.9895. What is l rounded to four dps?\nAnswer: -0.0105","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of f**2\/2 + 22*f + 392. What is w(-13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4846, -5 in descending order.\nAnswer: 4846, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 30*x**2. Let g(k) = -23 - 4*k**2 - 20*k - 2*k**2 + 5*k**2. Let j be g(-18). Let m(a) = j*a - 13*a - 2*a**2. Calculate u(m(h)).\nAnswer: 120*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203*c = -1413563 - 4236942. List the prime factors of c.\nAnswer: 5, 19, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 0.104397249319\nAnswer: -0.104397249319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 3746406\nAnswer: 374640.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-114)\/171 - (-2)\/3. Let r(t) = t**3 + 3*t**2 - t - 1. Let v be r(-2). Let g be (-16)\/(-20)*v\/2. Solve -4 = -q*j - g*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2079?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**4 - q**3 - q**2 - q + 1. Let h(d) = -25*d**4 + 4*d**3 + 4*d**2 + 4*d + 15. Let o(s) = h(s) + 4*z(s). What is the derivative of o(c) wrt c?\nAnswer: -84*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -n**5\/5 - n**4\/3 + 2*n**3\/3 + 2*n**2 - 8*n - 1. Let x(l) be the first derivative of c(l). Factor x(j).\nAnswer: -4*(j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 67 + -46. Let v = -359 + 224. Let p = 366 + v. What is the greatest common factor of p and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 2*i - 38 = 0, i - 4 = j - 6. Suppose 5*x = 3*q - j*q + 1239, 0 = 5*q - 3*x - 2099. List the prime factors of q.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5\/40*60)\/(1\/6). Suppose -u*f = -55*f - 380. Sort -4, -5, f.\nAnswer: f, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qx when two letters picked without replacement from xqxxxxqxqqxxxxxxxqx.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -703 + 703 + 3*g**3.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(10 + 4398534\/(-439854)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -693 and -3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*s**2 - 9*s**2 + 8*s**2 + 527756909*s - 527756909*s.\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 82885906?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 31*b**2 + b + 7. What is the units digit of q(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2 = 3*s. Suppose 0 = 3*f + p + 22, 4*f = 6*f - s*p + 4. Let g be (-6)\/2*(-8)\/f. Let x(b) = -b - 1. What is x(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2767 divided by -64.\nAnswer: -2767\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k**4 + 2*k**5 + 8*k**3 - 4*k + 4*k = 0. Calculate k.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1066\/21 - 151\/3. What is the second smallest value in 20, n, -0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*p - 5 - 70 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4*(-222)\/555?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -64846186?\nAnswer: -129692372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**2 + 3*c - 2. Let w be s(-3). Suppose 1 = 2*u - w. Is (u\/(-12))\/((-2)\/534) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*o**2 + 8*o**2 + 70*o**2 + (-3*o**2 + 4*o**2 - 3*o**2)*(0 + 0 - 1).\nAnswer: 101*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 - 0.2. Let x = -149857\/20 - -7491. Let c = x + 8\/5. What is the nearest to k in 1\/3, 1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22112*r**3*w + 4*r**3 + 19*r**2 + r*w**2 - 37 with respect to w.\nAnswer: 22112*r**3 + 2*r*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - 8*k + 18. Let f be l(-9). Suppose -g - 3 = 0, 3*z - f = 2*g - 5*g. Solve -2*q - s = 3, -4*q = 4*s - 6*s - z for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/36 (b) 1 (c) -0.08 (d) -3\/4 (e) 2 (f) -1 (g) -599\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(sqrt(6)\/sqrt(3)) - (sqrt(170) + sqrt(170) + sqrt(170)*-2 + sqrt(170) - sqrt(170))\/sqrt(10).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2873756*j**5 - 872*j**2 + 2*j + 1 wrt j?\nAnswer: -172425360*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, 1, 5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.524 + -0.076. What is h rounded to one dp?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/13 + -19\/39. What is the nearest to w in -1\/3, 4, -0.1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 958835844?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 9, 4*f + 32 = -2*b + 3*b. Let j = b + -50. Is (6 - (-1334 - j))\/(2*1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2 - 20*f - 19. Let w be o(11). Are 5 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 87*k - 1. Let x be f(1). Let r be x\/18 - (-2)\/9. Suppose r*o - 42 = -3*j, j + o = -o + 14. Calculate the smallest common multiple of j and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27008 is divided by 3125?\nAnswer: 2008","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 111, 879, 2957, 6999, 13659, 23591?\nAnswer: 37449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 9*o**2 + 3*o**3 - o**3 - 6 + 7*o - o**3. Let j be y(-8). Solve m + j*m = -3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 8:11 PM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2*y - 3 = -5*y, -5 = 5*y. Suppose s - m = -0. Suppose 4*k - 30 = -5*t, -s*k + 11 = t - 3*t. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2536 - -2536.0000225. Round d to 6 decimal places.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 74 - 46. Let j = w + -16. Let n(h) = -47*h - 313. Calculate the lowest common multiple of n(-7) and j.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of 2 + 1\/30*c**4 + 0*c**3 - 1\/150*c**5 + 0*c + 32*c**2. What is u in n(u) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/36100 and 71\/1080112?\nAnswer: 27002800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32.26 + -0.74. Let a = u - -34. Let v = -16 + 33\/2. What is the nearest to v in a, -4, -0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -582 - -910. What are the prime factors of i?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((c\/c**5)\/c)\/c)\/(c*c*c\/(c\/(c\/c**(5\/4)))))\/((c**(-1\/6)*c)\/c**(1\/4)))**(1\/25) assuming c is positive.\nAnswer: c**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6262 (base 7) to base 11.\nAnswer: -1720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 4*h = 23 - 34, -4*h - 21 = 5*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 - -26. Suppose 31 + w = 2*l. Suppose 16 = -s - 5*x, s - 5*x - l + 3 = 0. Which is the second biggest value? (a) 3 (b) s (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**(-7\/6)\/y)\/y*y*y*y)\/y)\/(y*y*y*(y*(y\/y**(-17))\/y)\/y)*y**36\/(y\/y**(2\/53)))**(-14\/3) assuming y is positive.\nAnswer: y**(-30877\/477)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w - 1346 = -100. List the prime factors of w.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 918*q**2 - 220333*q - 19902506. Let x(w) = 21*w**2 + 2*w - 1. Let t(g) = 4*m(g) + 20*x(g). Let t(l) = 0. What is l?\nAnswer: -271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 2*q - 1. Let h be n(-1). Let w(o) = h*o**2 + 0*o**2 - o**2. Let m(c) = -c - 101*c**2 + 98*c**2 + c. What is m(w(r))?\nAnswer: -3*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 8:04 PM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07046585128 to 4 dps.\nAnswer: -0.0705","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5119778?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 92, 338, 820, 1616?\nAnswer: 2804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 5, -5, -1.\nAnswer: -5, -1, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -297*c = -302*c - 30, 0 = -4*o + 2*c + 24 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 a when two letters picked without replacement from {l: 2, t: 1, a: 1, x: 2, o: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.015 less than -0.1800712?\nAnswer: -0.1650712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -661*x + 837*x + 16368 = 0 for x.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*s**2 + 103*s**2 - 26*s**2 - 21*s**2 + 32 - 31*s**2.\nAnswer: s**2 + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 7*z - 3. Let h(u) = -3*u**2 + 22*u + 8. Let y(l) = 2*h(l) + 7*m(l). Is y(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**2 + 2*p**2 - 3*p**2 + (-4*p + 3*p - p)*(4*p + 2*p - 4*p) - 3*p + 3*p - p**2 + 502 - 306*p**2 - 502 + (1 - 4 + 5)*(2*p + 2*p**2 - 2*p).\nAnswer: -308*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.08 - -0.16. Let y = t - -0.06. Which is the nearest to 0? (a) 1 (b) -2\/13 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**9)**(6\/7)\/(w*w\/(w*w\/w**6*w))**(-44) assuming w is positive.\nAnswer: w**(1600\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 213*z**5 - 42*z**4 + 471*z**3 + 3131*z + 438 wrt z.\nAnswer: 4260*z**3 - 504*z**2 + 2826*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1874, 3740, 5606, 7472?\nAnswer: 9338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 - -5?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-4))\/(6\/4). Let m be (-1 - 6\/(-3)) + a. Solve 4*k + 4 = -d + 18, 5*k - m*d = 11 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6295 - -6298. Let m be (2\/6)\/(8\/3). What is the closest to 1\/2 in c, 2\/7, m?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/6 in 2, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 80\/24*(-12)\/(-10). Suppose z - 3*h + 2 = 17, -u*h = -4*z + 36. What is the remainder when 11 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3*b - 8474 = 3*q, -11294 = 4*q + 2*b. Let a be (-28)\/(-21)*2\/(q\/(-6)). Let f = a + -1422\/1765. Sort 0.5, 11, 3\/5, f in decreasing order.\nAnswer: 11, 3\/5, 0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3352 divided by 4\nAnswer: 838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 7:38 PM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2833*m + 5617*m + 4280*m as t*m + l and give t.\nAnswer: 7064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9 - (1160\/48 - 15). What is the third smallest value in -8, x, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.62 - -213.62. Let a = -670 + 467.3. Let w = a + v. Round w to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*96\/((-144)\/3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*i**4 + 150*i**3*p**3 - i*p**2 + 2*i - 523*p**3 wrt i.\nAnswer: 156*i**2 + 900*i*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = z - 1296, -11*z = -15*z + 4*a + 5200. Is z a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 2179315553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/11 (b) -1\/2 (c) -4 (d) 5\/4 (e) 76 (f) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6964625467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239*t - 238*t - 238*t + 731*t.\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 (base 4) in base 14?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32248\/9 + -32246\/9. Determine k so that -i*k**3 + 14\/9*k**2 - 28\/9*k + 16\/9 = 0.\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -129\/98, -0.5, 1\/8, -0.09 in ascending order.\nAnswer: -129\/98, -0.5, -0.09, 1\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-30)\/45 + (-32)\/(-3). Suppose 10*z = -h*z + 16720. What is the lowest common multiple of z and 12?\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m + 7. Let r(h) = -7*h**2. Determine w(r(a)).\nAnswer: -7*a**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -14 - -3 - (1 + -14). Solve c - 4 = -4*c - 2*j, x*c = -5*j + 10 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*n - 609 - 566 = -1277 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -4*a + 5*j + 92, 0 = -2*j - 4. Let n = -16 - 5. Let g = n + a. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 0 = -2*w - 8, -5*w = 5*b - 10. Let o = w + -3. Suppose 15 = 7*z - 2*z. What is the highest common divisor of o and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 975394.2cm to kilometers.\nAnswer: 9.753942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, -1, 21131\/2 in decreasing order.\nAnswer: 21131\/2, 2\/17, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**2 - c + 1. Suppose -4*i = -7*i - 6. Is w(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1085891927.\nAnswer: 61, 17801507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.596 and -0.0013?\nAnswer: -0.0007748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 335510409.\nAnswer: 3, 13, 73, 191, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2195919 - 4273258277\/1946. What is the common denominator of x and -47\/139?\nAnswer: 1946","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*i**2 - 5*i + 23.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26193 + 26198. Let r be (-1 - -4)*1\/(-56). What is the third biggest value in r, 1, v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31238226214 + -0.1\nAnswer: -31238226214.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of s**7\/630 + s**6\/360 - 2*s**2 + s. Let k(a) be the first derivative of y(a). Factor k(i).\nAnswer: i**3*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -14*y + 19. Sort -4, y, -21, 2.\nAnswer: -21, -4, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -133 - 5?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41.3 - -36.53. Let q = -11.77 - k. What is the closest to q in 0.3, 3, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6848952*q + 8199270 wrt q?\nAnswer: -6848952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 s when two letters picked without replacement from {e: 1, i: 1, x: 1, c: 2, s: 1, u: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y - 21. Let p be d(0). Is 6\/p - (-3807)\/21 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)*2*2 - -4*-1*sqrt(66))\/(sqrt(54) + 2*sqrt(864) + sqrt(54)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1200160 (base 8) to base 15.\nAnswer: 671cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 525 and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -144 - 138. Let g = 182 + k. Let w = g - -99.9999796. Round w to 6 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 - -41. Suppose 2 = -r*u + 34. Suppose -2*j + 275 = 5*v, v - 4*j + 179 = u*v. What are the prime factors of v?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31860 is divided by 46.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 932*w**2 - 109*w - 62. Is b(-13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g**3 + 29*g**2 - 28*g + 27. Let k(a) = a**3 + 10*a**2 - 9*a + 9. Let u = 22 - 25. Let o(f) = u*w(f) + 8*k(f). Is o(-9) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*b**3 - 8*b**3 - 30*b + 27*b - 86*b**2 - 2 - 145*b**2 to the form z*b**3 + a*b**2 + d + x*b and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (41 - 39) + (1 - -3 - 9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqnrqrqqqqf. What is prob of sequence rf?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1551 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207*d - 208*d + 601 = 0. Suppose -600*w - 120 = -d*w. Are w and 120 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-330)\/420*(-12)\/33.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1311244 (base 5) to base 2.\nAnswer: 110010011100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -103*w - 47. Let n be r(-17). Let c = n + -20461\/12. What is the common denominator of -83\/210 and c?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - 0) + 511\/(-21). Let u = b - -27. Factor -u*l**3 + 2\/3*l - 4\/3*l**2 + 4\/3.\nAnswer: -2*(l - 1)*(l + 1)*(l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 203382008 and 552?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2749 + -13749\/5. Let g = -0.6 - -0.7. Which is the nearest to -2\/5? (a) g (b) -0.4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.1 - 1.6. Let i = 0 - 0.1. Let h be ((-11)\/((-110)\/12))\/((-4)\/(-10)). What is the fourth smallest value in i, h, -0.04, o?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = j + 3*x - 8, 0 = 2*j + 4*x + 8. Let w be -1*(1 - (2 + j)). What are the prime factors of -2 + (w - 1) - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y**2\/3 + 485820*y - 1457465\/3 = 0. What is y?\nAnswer: -291493, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, c: 2, z: 2}. Give prob of sequence cca.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11133 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: Convert 5 (base 9) to base 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 805*v**2 + 33*v**3 - 805*v**2 + 1607*v**2 to i + j*v + g*v**3 + z*v**2 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248*t - 6846 = -411*t. What is the remainder when t is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -6, 18, 2, 625, -4 in decreasing order.\nAnswer: 625, 18, 4, 2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1000122212 + -10?\nAnswer: 1000122202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (22\/(-154) + 54\/280)\/((-894)\/10728)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of -27*a**2 + 0 + 1\/6*a**3 + 0*a + 1\/24*a**4. Give g(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(sqrt(90)\/(sqrt(10) + sqrt(490))).\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18 and 999.\nAnswer: -17982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q\/(q\/(q*(q**(-27)\/q)\/q))*q)\/q)\/((((q*q\/((q**(-14)*q)\/q)*q)\/q)\/q)\/q))**(-25) assuming q is positive.\nAnswer: q**1025","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260*y + 234*y - 117*y + 6786 = 0 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -1, -4, -2\/13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*g + 5*g + 6*g**4 + (1 - 1 - 1)*(-g**4 + 4*g**4 + 0*g**4).\nAnswer: 3*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34604.\nAnswer: 2, 41, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42 and 600579.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 0)*(4*z - 3*z + z)*(3 - 3 + 2)*(-39 + 155*z - 157*z + 2) to the form g*z + k + y*z**2 and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**18*r)\/r**(1\/24))\/(r*r**(-9\/2)*r**(-1\/19)))**(3\/17) assuming r is positive.\nAnswer: r**(10721\/2584)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -127401900 rounded to the nearest 100000?\nAnswer: -127400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78, -76, -72, -66, -58?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 7.95599\nAnswer: -1.95599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 33065470.71 to the nearest 10000.\nAnswer: 33070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 27319 and -0.26.\nAnswer: -7102.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide ((-424984)\/(-10) - 40\/100)\/(6\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19925 + -19927. Sort f, -3005, 1.\nAnswer: -3005, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*h + 15*h + 19*h - 7*h)*(34 + 20*h - 35 + 35*h)*(0*h - h + 0*h) to the form l + x*h + i*h**2 + s*h**3 and give s.\nAnswer: -2035","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1260379*w**2 + 420120*w**2 + 420122*w**2 + 420131*w**2.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 49*g - 122. Is f(34) a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - u - 2. Let f be o(2). Let k be (-4)\/((-144)\/188) + f\/(-18). Solve 5*g = k*d + 25, 2*g - 5*d + d = 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 3*a + 18, 5 = -3*a + 4*a + 2*t. Let j(m) = -60 - m - m**2 + 59 + 0*m**2. Let n(b) = 5*b**2 + 6*b + 5. Give a*n(q) - 4*j(q).\nAnswer: -q**2 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3104?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77141666, 77141669, 77141672, 77141675, 77141678, 77141681?\nAnswer: 77141684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 52327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-5)*r)\/r**(-1\/2))\/(r**(1\/4))**(-2\/17)*(r**(-12)*r**(1\/3))**25 assuming r is positive.\nAnswer: r**(-15052\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 763 = 2*m - 9*m. Let w be (0 + m)\/(-8 + 9). Let n = w - -156. Does 12 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -17. Which is the smallest value? (a) -1\/4 (b) m (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and -154.\nAnswer: -924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -31 + -12 + (777 - 773 - (0 - -2))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(45) + 1 + 5)*6.\nAnswer: 6 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + r - 72, 2*c + 8*r - 7*r = 27. What is the highest common divisor of c and 195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 4) in base 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197478 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2538943, 2538930, 2538907, 2538868, 2538807, 2538718, 2538595, 2538432?\n\"Answer: -x**3 + x**2 - 9*x + 2538952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 8 = 4*u - 4*q, -5 = 3*u + q. What is the smallest common multiple of u*(4 - (14 + -4)) and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 4*s + 4 + s - 2*s**2 + 3*s**2. Suppose 2*m + 5*m = -42. Calculate f(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 416 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5*583\/33*3. Suppose -3*s + s = 262. Let k = c + s. List the prime factors of k.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3258 + 0.327084. Round m to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - q + 1. Let u = 38 + -34. Let n be u\/(-6)*(-17 - -20). Let l be j(n). Does l = -7\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1301725 to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -50, -281, -5, 0.1, -1?\nAnswer: -281","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + m = 7405, 0*h - 2*m + 9870 = 4*h. Suppose -30*t + 12320 = -h. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 222 = -33. What is the third derivative of -2*m**3 - 4*m**3 + 77*m**2 - j*m**2 wrt m?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v - 8 - 4 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 2623?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**2 - 4341*x + 2035952. Give q(1485).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**2)**(-13)\/(p**(-3)\/p**(-8)))**19)**(-34) assuming p is positive.\nAnswer: p**20026","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**2 + 101 + 4*x**2 - 413 + 145 + 105.\nAnswer: x**2 - 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l**3 - l**2 - l**2 + 0*l**3)*(-109*l - 6224 + 6224) to the form p + v*l**2 + k*l**4 + z*l + i*l**3 and give k.\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140060?\nAnswer: 2, 5, 47, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 204*a*i**4 - 18*a*i**3 - a*i**2 - 8*a - 4047*i wrt i?\nAnswer: 2448*a*i**2 - 108*a*i - 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 589, 589, 591, 595, 601?\n\"Answer: m**2 - 3*m + 591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/9 + 973*h\/9 + 3908\/9.\nAnswer: -(h - 977)*(h + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/17 equal to -1259?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ugg when three letters picked without replacement from {g: 4, u: 10}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*r = -132*r - 56. Suppose -26*b = -r*b + 16. Calculate the highest common factor of b and 472.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4*u + 15 = -13, -2*u = -5*r + 10. Let d be ((r - 3) + 0)*1. Solve p = -m, -5*m + p - d = 11 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2*d - 0*d - 22, -20 = -4*p + 2*d. Let w(i) = -i - 1. Let v(t) = 10*t + t - 2*t + 6 - t. Let r(c) = p*w(c) + v(c). Let h(b) = -b**2. Give r(h(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*q - 24*q - 4*f = 88, -19 = 2*q - 3*f. What is the smallest value in q, -2, 24?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3304882 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3029 + 3025. What is the closest to -2\/5 in 9, 2\/5, 5, b?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121, -104, -35, 86, 259?\nAnswer: 484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/360 - ((-87)\/72 + 1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 7*r = -2*s + 6812, -6808 = -2*r - s. Suppose -2994 - r = -13*d. List the prime factors of d.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21068 (base 15) to base 16.\nAnswer: 19913","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1 + 1 + sqrt(2448) + -1*sqrt(2448) + 2 + 4 + 0)**2 + -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -6*y**4\/5 - 181454676*y**3\/5 - 1371909761731014*y**2\/5 - 4390104269682144*y - 17560407788254080 = 0.\nAnswer: -15121215, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*d**3*w**3 + 3*d**3*w + 4*d**2*w**4 + 24*d**2*w**3 + 314*d**2*w**2 wrt w?\nAnswer: 24*d**3 + 96*d**2*w + 144*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 16. Suppose -2*c - 3*w = -5*c - 3, -4*w = -5*c - i. Differentiate -3*d**4 + 5*d**4 + 4*d**4 + c + 3 wrt d.\nAnswer: 24*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80, -157, -234, -311, -388?\nAnswer: -465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6117 + -391525\/64. What is the common denominator of y and 109\/224?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (406 + 20*a**2 - 406)*(a - 1 + 1) + 8*a**2 + 976 - 976 - 5*a**3.\nAnswer: 15*a**3 + 8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of a**3\/3 + 502*a. Let p(g) = -148*g. What is h(p(l))?\nAnswer: -296*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10315042 to the nearest integer?\nAnswer: 3212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -9*w**2\/2 - 2*w + 6. Let n(c) = 19*c + 5. Let z(b) = -14*i(b) - 6*n(b). Does 28 divide z(21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 16*p - 51. Let i be q(-19). Let o(m) = m - 9 + 2 - i - 7. Let g be o(21). Put g, -1, -2\/19, 0.22 in ascending order.\nAnswer: -1, -2\/19, 0.22, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6306 + 881*g + 6307 - 12613 as b*g + u and give b.\nAnswer: 881","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 358\nAnswer: 71.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 960.88732 rounded to the nearest ten?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1, -5, -11, -17?\n\"Answer: -6*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -8. Let i(h) = -16*h**2 + 3*h. Let b(s) = -3*s**2 + s. Let c(a) = 5*b(a) - i(a). Calculate c(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 23832.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -452, -553, -632, -689, -724, -737?\n\"Answer: 11*u**2 - 134*u - 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -3*w - 3*v + 3, -v = 2*w - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -8*w**2 - 9*w + 9. Let q(b) = -250*b**2 - 4*b + 1 + 3 + 246*b**2. Let u be (2\/5)\/(11\/(-110)) - 0. What is u*m(i) + 9*q(i)?\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 163776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9910*n**3 - 19824*n**3 + 7 + 9910*n**3.\nAnswer: -4*n**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35489 is divided by 273.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of w**2\/2 - 71. Let o(p) = -13*p**2. What is o(l(a))?\nAnswer: -13*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21174184 and 152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -805*z + 39. What is the tens digit of c(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38425376279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1574)\/(-787))\/((-7)\/(196\/(-8)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -729, -2 in ascending order.\nAnswer: -729, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -764 divided by -3.\nAnswer: 764\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from zczzfcfzffozzfznnf.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 8*b + 22*b = 10*b - 2*n + 6*n - 38, -4*b - 152 = -22*n for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -7*a - 499 + 501, 2*o = 11*a - 21 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158 = 3*w + 50. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -103.06 - -102. Let z = n + -0.14. Let w = 0.2 + z. Which is the closest to w? (a) -0.5 (b) 2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, e: 4, r: 1}. Give prob of sequence ej.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u - 17. Suppose 30 = -27*g + 32*g. Let z be x(g). Let q(w) = w**3 + 5*w**2 + w + 7. Calculate q(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 3*u + 2*y, 986*y - 982*y - 44 = -4*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48820 and 39.\nAnswer: 1903980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: f6a6c (base 16) to base 11\nAnswer: 630050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (64 - 25 - 27) + (2 - 1) + -31.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 47*u - 726. Let d be t(-37). Is -0.5 bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 472200075 divided by 3\nAnswer: 157400025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 931 = 3*q + 2740. Let l = q + 10909\/18. What is the common denominator of 59\/27 and l?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45684990 divided by 9136998?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -6. Let l = -327\/7 + 47. Sort l, -0.3, s in descending order.\nAnswer: s, l, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*a**3 - 5*a**3 - 3*a**2 + 0*a**3 + 6*a**3 wrt a.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 12 = -t, 2*r - 9 = -3*t + 2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (3\/15)\/((211641\/(-790))\/(-57))\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*z + 8*z - 44 + 44.\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 73\/4 of a hour?\nAnswer: 65700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 435748481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3*c**2 - 6*c**2 + 50*c - 51*c)*(182*c**2 + 1048*c**2 - 160*c**2) as h*c**4 + f*c**2 + s*c + k + b*c**3 and give h.\nAnswer: -3210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lmmloll. What is prob of sequence om?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 12:48 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 314, 0, 27\/7 in descending order.\nAnswer: 314, 27\/7, 1\/6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110 + 100121202100101?\nAnswer: 100121202022221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*r**3 - 20*r**3 + 0 + 6 - 3.\nAnswer: 6*r**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 135 (base 6) to base 4\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 45*f**2 + f. Suppose 0 = -2*v + 4 - 6. Does 9 divide g(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 65048 and 722.4808.\nAnswer: 65770.4808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(1512) + -1*sqrt(1512)) + sqrt(1512) + 4*(2*sqrt(1512) + sqrt(1512)))\/((sqrt(3072)*-2 + sqrt(3072))\/(sqrt(64)\/(-1*sqrt(8) - sqrt(8)))).\nAnswer: 39*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -29 (b) -3\/2 (c) 4 (d) -5 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18898 = 67894*p - 68753*p for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from juuujuuujj. What is prob of picking 3 u?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 659 + -660.9. What is the third smallest value in 1, d, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 37*y**3 - 4*y**2 + 93. Let u(z) = -187*z**3 + 22*z**2 - 464. Let h(v) = -11*b(v) - 2*u(v). Differentiate h(m) with respect to m.\nAnswer: -99*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/76080 and -23\/342360.\nAnswer: 684720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95094, -380332, -855736, -1521312, -2377066, -3423004?\nAnswer: -4659132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -211 - -243. Let u = -470.9 + 504. Let b = j - u. What is b rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/12416701 and -89\/13012.\nAnswer: 49666804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -553*v**5 - 479*v**2.\nAnswer: -33180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**3 - 4*v + v + 0*v)*(80 - 32 - 48 + 3206*v).\nAnswer: 6412*v**4 - 9618*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 205.\nAnswer: 2\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**5*s**(-1\/5)*(s*(s\/(s\/(s**2*s)))\/s*s)**(-31\/3) assuming s is positive.\nAnswer: s**(-683\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -573.77425 rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8364 = -1206480*q + 1206562*q for q.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 16*a + 60. Calculate the remainder when 421 is divided by o(15).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-696*n + 51*n**2 + 708*n - 21*n**2 - 16*n**2)*(13*n - 3*n**2 - 13*n) as j*n**3 + s*n**4 + p*n**2 + v*n + g and give s.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lmh when three letters picked without replacement from mlnhhhlllhlhhnho?\nAnswer: 1\/96","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h - 1. Let u(o) be the third derivative of o**4\/8 - 17*o**3\/6 - 10*o**2. Let f(n) = 2*t(n) - u(n). Does 10 divide f(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-101375*h**3 + 13*h - 101371*h**3 + 202745*h**3 + 275)*(0 - 2*h + 0) in the form o*h**2 + l + p*h + g*h**3 + b*h**4 and give o.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116619 is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) 5\/13 (c) 4.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, c: 2, e: 1, p: 2, t: 2, w: 2}. What is prob of picking 1 f and 1 e?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 114241 + 0?\nAnswer: 114241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, x: 3, l: 1, y: 1, k: 9, u: 3}. What is prob of sequence kl?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**3 + 14*i**2 + 21*i + 47. Determine v(-2).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 444890.31 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - g**3 + g**3 + g - g**3 to the form l*g + s*g**3 + o + k*g**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 766080480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f**2 + f**2 - f**2)*(35*f - 14*f - 21 - 22*f) as m*f + j + q*f**3 + c*f**2 and give c.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/117)\/((-579)\/193).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001729 rounded to 7 dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3613 - -793.6387. Which is the third smallest value? (a) 0 (b) z (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-6*(sqrt(147)*-3 + 5))**2.\nAnswer: -7560*sqrt(3) + 48528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -13 - -3 - 15 - -16\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2. Let g(z) = 524*z. What is g(q(d))?\nAnswer: -524*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from hgnngngnn.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 49*h**2 - 12*h**3 + 50*h**2 - 98*h**2. Calculate l(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -4. Suppose -4*a = -w*a + 20. Suppose 3*u + 120 = 99. Does a = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/((-9)\/(-91)))\/(3815\/(-1635))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 5)*(-2276*c - 41*c - 559*c).\nAnswer: -5752*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*x - 2*x. Suppose -x*a + 128 = 26. Is 15 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -3*f + 66, 0 = 5*f - 10*f + 3*x + 99. Suppose -f*k = -10*k - 16. Find z, given that -z**3 + 0 - 1\/2*z + 5\/4*z**k + 1\/4*z**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**2 - 1 + 4*j**3 - 372*j + 367*j - 2*j**3 + 0*j**2 in the form m + y*j**3 + a*j + f*j**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 9 - 9 + 3*j. Let x(l) be the second derivative of -l**4\/12 - 75*l**2\/2 - 13*l. Let k(t) be the first derivative of x(t). Give v(k(z)).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j**2 + 3*j**2 + 0*j**2)*(-1378 - 218 - 2367 - 957 + 722 - 1221) to f*j**2 + a + k*j and give f.\nAnswer: -5419","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30105*a**4 - 22672*a.\nAnswer: -361260*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-1)\/(-1)*0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 8 + 64 = 0. Let z be 52\/d + 1\/(-6). Let l = z + 2. Solve -l = -2*o + o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 5*c**2 - 9*c + 15. Let r(y) = -y**2 + 2*y - 3. Let t(i) = -22*r(i) - 4*w(i). What is the units digit of t(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-1*4\/(-12)). Let n be 94\/(-15) - (-6)\/m. Let t = n - -7. Is t smaller than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11691 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1737 (base 8) to base 6\nAnswer: 4331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 76*k*m**3*v + 65995*k*m**3 + 3*m**3*v + 2*m**3 + 4*v wrt v?\nAnswer: 76*k*m**3 + 3*m**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 166*n + 26. Suppose -4*y + 4*a + 7 = 3*a, -5*a = -5*y + 5. What is the hundreds digit of u(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266477 - 23736 = -27*z - 52640. Calculate the highest common factor of z and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/114249364 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 167 and 10.\nAnswer: 1670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i - 3. Let g(t) = 1. Let y(q) = 2*g(q) + p(q). What is the smallest common multiple of y(5) and ((-16)\/(-10))\/(-1 - 42\/(-30))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000647664255 to six dps.\nAnswer: -0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 488978768 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 3*r + 17 = -24, 125578 = k + 2*r + 125592 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -9370090620\nAnswer: -9370090615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 267 + -1075\/4. Which is the second smallest value? (a) g (b) 3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -a*m**3 - 226*a*m**2 - m**3 - 34 wrt a?\nAnswer: -m**3 - 226*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/4*960\/(-1120)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4515*y - 630. Let j(p) = -14*p + 2. Let u(r) = 630*j(r) + 2*k(r). Let z(w) = -9*w**2. Give z(u(v)).\nAnswer: -396900*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -z**5\/60 - 5*z**4\/6 + 11*z**3\/6 - 7*z**2. Suppose -t + 11 = -2*t. List the prime factors of p(t).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}