diff --git "a/data/dm_maths/full_data_2/1221_11255.jsonl" "b/data/dm_maths/full_data_2/1221_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1221_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: In base 10, what is 0 - 28344?\nAnswer: -28344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 268418.5 rounded to the nearest one thousand?\nAnswer: 268000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -18*m - 8*m. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 6 = 5*n, -5*n + 4 + 2 = 2*t. Solve -2*v - t*v = 4*c - 35, 0 = v - 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3954 greater than or equal to 3955?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b + 29. Let v be g(-13). Let f be 1029\/(-112) + v - -6. Sort -0.1, f, -0.3 in increasing order.\nAnswer: -0.3, f, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a millennium in decades?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 18*p**2 - 6*p**2 - 6*p + 2*p + 4*p)*(21*p**3 - 14*p**3 + 45*p**3).\nAnswer: 624*p**5 - 468*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -1\/5 (b) 7 (c) -1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 519530182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + -4 + 8 + -6 - 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 113031754 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - c**3 - c)*(3*c - 5*c - c)*(-2 + 3 - 2 + 3 - 1 + 0 + (4 - 1 - 2)*(4 - 2 - 1) + 3 + 0 + 0).\nAnswer: 15*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 249 - -3?\nAnswer: 24c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k + 79 - 62 = 0. Which is bigger: -1\/265 or k?\nAnswer: -1\/265","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11169*i**2 - 1444*i?\nAnswer: -22338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l - 4*r - 12 - 10, 5*l = r - 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 34\/(-187) + 36794999*4\/(-22). What is u rounded to the nearest one hundred thousand?\nAnswer: -6700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 429 is divided by 228?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(-40)*2*-4. Let k be ((-12)\/292)\/(9\/(-6)). Which is smaller: g or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5*m - 1844 - 642 = 0, 3*m = 12. Suppose 2*l = 2*i + p, 0 = -5*i - 2 + 7. What are the prime factors of l?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -314\nAnswer: -94.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 0.1 (b) 22 (c) 1\/3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-3*sqrt(13) - sqrt(13))**2 - sqrt(13))*4 - (5 + sqrt(637) + (sqrt(637) + 3)**2).\nAnswer: -53*sqrt(13) + 9541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/5 in 2\/15, 1, 8069816?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1))**23\/(m*m\/m**(-1\/4)*(m\/m**(-1\/3))\/m*m)*(m**(-3\/2)\/m**(-1\/11))\/(m*m\/m**1)**(-28) assuming m is positive.\nAnswer: m**(1\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9f4b + 3?\nAnswer: -9f48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x + 3. Let w be c(9). Let t be (-38)\/(-6) + 2\/w. Suppose l - 2*l = 2*a - t, 4*l = -a + 24. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.0893 - 2.0893. Which is the fifth smallest value? (a) r (b) 32 (c) -3 (d) -1 (e) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57289029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, v: 1, x: 2}. What is prob of sequence xvx?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 130\/(-39)*9\/(-5). Find the third derivative of 2*d**b + 24*d**3 + 5*d**4 - 627*d**2 - 5*d**4 + 804*d**2 wrt d.\nAnswer: 240*d**3 + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2505946?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 4*p + 50. Let i(l) be the first derivative of -l**2\/2 + 4*l - 12. Calculate the remainder when p is divided by i(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4*i - 26. Let y be j(18). Let t(o) = -o - 2 + 45*o**2 + 4*o - y*o**2. Let a(s) = -2*s**2 + 5*s - 3. Suppose -2 = -b + 3. Calculate b*t(x) - 3*a(x).\nAnswer: x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6119 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 97021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33510, -33657, -33802, -33945, -34086?\nAnswer: -34225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1341 - 1340. Sort n, 4, -12, -5.\nAnswer: -12, -5, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -40, -188, -442, -808, -1292?\n\"Answer: -p**3 - 47*p**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1682, 3363, 5044, 6725, 8406, 10087?\n\"Answer: 1681*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3 - 17232*i**2 + 37152168*i - 148333088.\nAnswer: 2*(i - 4306)**2*(i - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 208682 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - i + i)*(i + i - 4*i) + (-7 + 3 + 1)*(-4*i + i + 4*i)*(-i - 3*i + 3*i) + (3*i - 2*i - 3*i)*(-101*i - 105*i + 215*i).\nAnswer: -11*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/47 smaller than -8287?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 100*h**2 - 5598*h - 147. Calculate u(56).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.32 and -0.16.\nAnswer: 0.0512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) -2283 (b) 3\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8256*o + 93485 = 5099*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 23\/(207\/1512) - 5*1. Suppose 8*a - o - 37 = 0. Calculate the highest common factor of 200 and a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -191 - -226. Suppose 5*w - 5*i = 60, -3*w - 3*i + 19 = -l. Put -4, 3, w in decreasing order.\nAnswer: w, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 274 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = 5*k - 1. Let t = 569 + -2295\/4. Calculate the common denominator of (k\/10)\/(4\/(-52)) and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 12*x**2 - x - 8. Suppose 11*s - 46 + 178 = 0. Let a be b(s). Suppose a*q + 54 = 374. Is q at least 81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = y + 4, -2 = -4*h + 8*h + 3*y. Let l(i) = -8*i**3 + 7*i**2. Let m(u) = -u**3 + u**2. What is h*l(s) - 6*m(s)?\nAnswer: -2*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21974 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 0) + -4 - (0 + -11 + 9 + -6)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 893*p + 98230. What is l(-110)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.03, -4\/15, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -829151800 rounded to the nearest one hundred thousand?\nAnswer: -829200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8986\/963 - 2\/963. Let i be ((-16)\/12)\/((-3)\/(-3474)). Let u = i + 12251\/8. What is the common denominator of b and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/42820 and -89\/32?\nAnswer: 342560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -96*f**3 + f + 1. Let t be i(-1). Suppose 8*s - 5*s - t = 0. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15825*c**5 + 2*c**2 + 74*c - 7?\nAnswer: 949500*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -n - 2, -5*p = -5*n - p + 14. Suppose q = 4*r - 9*r + 15, -n*q = 4*r - 18. Suppose r*a - 16 = -5*h + 13, 2*a = 4. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2860115 is divided by 2678.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*s + 150 = 130*s. Let h be (-2)\/5 - (-48)\/45. Factor -h - 1\/3*k**s - k.\nAnswer: -(k + 1)*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1233, 2377, 3511, 4629, 5725, 6793, 7827, 8821?\nAnswer: 9769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 208964784427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 6*a + 32. Let w be h(10). Suppose 24*i - 47*i = -w. Solve 3*l + 5*n + 16 = 0, -19 - 7 = -2*l + i*n for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 239226 divided by 9201\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 410507 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 12*g**2 - 10*g + 17. Let u be o(-11). Let p be ((-4)\/u)\/(32\/(-240)). Solve 0 = -p*r + r - 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 69747 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3920722103 to the power of 1\/2, to the nearest integer?\nAnswer: 62616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -d**4\/24 - 2*d**2. Let i(x) = -9*x**2. Give i(l(o)).\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 6. Let i = u + -9. Let v(k) = k**2 + 7*k + 6. Is 8 a factor of v(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 858 and 5478?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -0*j - 8*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-34 - (-27 + 22))*(4 + -5)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*77\/(26411\/(-588)))\/((-6)\/(-182)).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - w + 1. Let y(v) = 2*v**3 - 6*v**2 + 22*v - 14. Let a(i) = 4*g(i) + y(i). Factor a(u).\nAnswer: -2*(u - 1)**2*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (4 + 2*sqrt(275))**2*1)*-6.\nAnswer: -6720 - 480*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**4\/11 + 14*d**3\/11 + 32*d**2\/11 - 344*d\/11 + 480\/11 = 0 for d.\nAnswer: -5, 2, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 4*u + 11 + 9, -3*d + 4*u - 20 = 0. Suppose -5*y - 275 = -0*y. Let v = 56 + y. Which is bigger: v or d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26*u**3 - 3*u**2*w + 2*u*w - 945*w with respect to u.\nAnswer: -78*u**2 - 6*u*w + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y - 12. Let x(l) = l**2 + l + 6. Let s be x(0). Let t be j(s). What is the units digit of (8 + t)\/((-4)\/(-26))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, k: 7}. Give prob of sequence kkkk.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-4*((3*6*sqrt(1053))**2*1 + -4)*-4.\nAnswer: -27293440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 196, 599, 1358, 2545, 4232, 6491, 9394, 13013?\nAnswer: 17420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 0.06 (c) 1 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 759 is divided by 39?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 + 18 - -19 - (1 + 4).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 7*u**2 - u + 12. Let x be a(6). What is the greatest common factor of 12 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68462895 to the power of 1\/3, to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10428*d + 10428*d - 2*d**2 + 96.\nAnswer: -2*d**2 + 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2097, 1466, 415, -1056, -2947, -5258, -7989?\n\"Answer: -210*o**2 - o + 2308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-911)\/(-2 - (-27)\/(-6)). Suppose 6*r - 420 = 9*r. Let i = r + l. What is the third biggest value in 1\/6, -5, i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 817448.4ug?\nAnswer: 0.8174484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -3, 28, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 + 57. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 694072 and 859.\nAnswer: 694072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 12 = 3*y - v, y - 5*v + 20 = 0. Let d(l) = y*l + l - l + l. Let g be -2 + 0*5\/75. Determine d(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13627 (base 8) in base 10?\nAnswer: -6039","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 713143977?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/5 of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(275) - 1*sqrt(275)*3)*-1 + ((sqrt(275) - sqrt(275)*-2) + -5)*-5)**2.\nAnswer: -3770*sqrt(11) + 47316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 s when two letters picked without replacement from tzlpzcstppspp.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -488, -550, -668, -854, -1120, -1478?\nAnswer: -1940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 95 = -9*c, 1531*c - 1533*c + 3*r = -20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120 and 66?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 8 + 9 + -5. Solve -3*g = -g + r for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, c: 1, q: 1, b: 1, j: 1}. Give prob of sequence jb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -8. Suppose -t*o - 15 = -180. Let h = o - 13. What is the remainder when 78 is divided by h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5610 by 1341.\nAnswer: 1870\/447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -20*p**2 - 9*p - 13. Let u(f) = 3*f**2 - 5 + 2 - 2*f - 6*f**2 - 2*f**2. Let x(i) = -2*k(i) + 9*u(i). Determine x(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1546 take away -3.04466723?\nAnswer: -1542.95533277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.13 from -3057.\nAnswer: -3056.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-160)\/(-14))\/(-25*17\/(-8925)). Solve -14*h = 16*h - y for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -3*j - 181. Let z be 24\/(1\/(-6)*99\/j). Let i be z\/36 + (-6)\/(-27). Solve -4*s - 1 = a + 3, i*a - s = 10 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 74 (c) -77\/2 (d) -2 (e) 0.293\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-174 + 412 - 120 - 173)*(-k + k - 3*k) as a*k + m and give a.\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -67.9 + 68. Let s = -2 - 4. Let g = 3 + s. What is the closest to b in g, -1\/2, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*u = 2*c + 20, 3*c + 4*u + 35 = 0. Let r(d) = 9*d + 3. Let g(k) = -8*k - 2. Give c*g(n) - 4*r(n).\nAnswer: 4*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 c when three letters picked without replacement from {e: 6, c: 8}.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -3*f**4 + 1779*f**3 - 130818*f**2 + 2634696*f - 11479104 = 0.\nAnswer: 6, 24, 52, 511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -105\/11, -5, 0.23, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 161.12 + -164. Let g = 3.6 + p. Round g to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/2 of a hour?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.02 + 3.4. Let u = 1387 + -1386.9. Let v = w - u. Round v to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/16, 52, 8.7 in ascending order.\nAnswer: -5\/16, 8.7, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -183 + 200. What are the prime factors of w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)*2*-1 - (sqrt(130) - (sqrt(130)*-2 - sqrt(130))*-5))\/(-4*(-5*(sqrt(10) + -1*sqrt(10)) + sqrt(70)\/(sqrt(28)\/sqrt(4)))).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -2. Suppose d + 3*x + 4 = 0, -t = -x + 2*x. Let o = 2 + d. What is the greatest common factor of 7 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - 5225\/99) + 8 + 888\/(-108)\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n - n = 6375. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11930.\nAnswer: 2, 5, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-4 - (-4 - 0)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g - 9*g - x - x = 110, 0 = 11*g - 10*g - 4*x - 2*x for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 276892 <= 276894?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*f + 58 = 218, -4*j + 4*f = -316. Calculate the remainder when 298 is divided by j.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 875640, 875639, 875638, 875637, 875636?\nAnswer: 875635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*f - 2*f + 4*f + (-52*f + 25*f - 3*f)*(-1 - 1 + 4) as n + w*f and give w.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 1:41 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-10)*(m**(3\/7)*m)\/m*m**(-5)*m**11 assuming m is positive.\nAnswer: m**(-18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 175205*t**4*x**3 + 9*t**4 - 238*t**2 - t*x**3 - 1170*x**3 - 2*x wrt t?\nAnswer: 4204920*t*x**3 + 216*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*i + 2799*i**3 + 89*i**2 + 140*i**2 + 977*i**3 - 151*i**2 wrt i?\nAnswer: 22656","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - (-20 - -31)) + -3 + 17?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-382*d - 19296 + 19296)*(-2*d + 2*d + 2*d)*(-1 + 0 + 0) to p*d + s + x*d**2 and give x.\nAnswer: 764","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) -13.5 (c) -3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2146.7 and 95.852?\nAnswer: 2050.848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 5*k - 204. Let l = 56 + -30. Calculate the remainder when 1\/(-1 + 52\/k) is divided by l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*f - 81*f + 75312 = 0. Is 23 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 2*n + 9, 5*s = 4*n - 9 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 4*t**2 + 10*t - 20. Let b be i(-12). Suppose b = 4*c + 3*v, 5*c = -5*v + 1116 + 154. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0*(-2)\/(-8)*-1)\/2. Solve r = t - 2*t - 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29 and 493.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 13*n**2 - 5*n + 160. Determine y(12).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7105456 = 263*n - 977849. List the prime factors of n.\nAnswer: 3, 5, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2833, 2835, 2837, 2839, 2841, 2843?\nAnswer: 2845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 266*k**3 + 4*k**2 + 16*k. List the prime factors of i(4).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 10:34 PM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 12*i - 30. Calculate the remainder when f(6) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/6)\/(10\/135) + -2. What is the greatest common factor of q and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 40, 210, 428, 688, 984, 1310, 1660, 2028?\n\"Answer: -y**3 + 30*y**2 + 87*y - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 98972649326 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 185 + 26. Let s = 386 - d. What is the remainder when s is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35.1 * -40866.\nAnswer: -1434396.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3 = 5*h, 4*h + 2 = 3*m - 0. Suppose -7*r - 21 = -14*r. What is the third derivative of -3*l**2 + 0*l**r - 2*l**3 + 4*l**m wrt l?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/19))**(2\/31) assuming b is positive.\nAnswer: b**(4\/589)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 74629*z - 4772116. What is f(-64)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3 - 2142*y**2 + 4291*y + 6432.\nAnswer: -(y - 3)*(y + 1)*(y + 2144)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20011221020222 - 210?\nAnswer: 20011221020012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 8*j + 10. What is c(8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2765120 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2216 - -150691\/68. Let u = d - 53\/1972. Is 1 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176605277 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 8*u - 5 - 4 + 3 - 2. What is the remainder when c(6) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7514.5471 + 7515. Let i = 0.434 - n. Let a = 0.019139 + i. Round a to five decimal places.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 12, o: 7}. What is prob of sequence ooj?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v + 0*v + v**4 - 4*v**4 - 2*v**2 + 2*v**2 + (5*v - 2*v - v)*(v**3 + 4*v**3 - 7*v**3) + 0*v**3 - v**4 + 0*v**3 - v + v + v**4.\nAnswer: -7*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 5:48 AM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 104 - 25. Let g(c) = -y*c**2 - 11*c + 20 - 106*c**2 - 237*c**2. Let z be g(20). What is z rounded to the nearest ten thousand?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 5) + 1 + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2\/44*(-7524)\/(-456)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, d: 4, q: 1, i: 2, s: 4}. Give prob of picking 2 s and 2 i.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 + 76. Let x = 61.2 - a. Let l = 0.932 + x. Round l to two decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -6*r + 1. What is n(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -1776036 and -1776117 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/(sqrt(20)\/sqrt(5)) + 5.\nAnswer: sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1*206\/(-40)*65\/78 and -97\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 + 30. Let o be g\/((-3)\/3 - -2). Let d = 9 + o. Solve -l = -3 + d for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 27*b*f - 28*b + 4*f - 2 wrt f.\nAnswer: 27*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-6*(-4 + (sqrt(2299) - (-2*sqrt(2299))**2) + 0 + 2 + -1 + sqrt(2299) + 0).\nAnswer: -660*sqrt(19) + 275970","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -639 + 756. Let b(u) = -28*u**2 - 117*u + h*u. Let r(a) = -a. Give b(r(z)).\nAnswer: -28*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 109623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 3) to base 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69470*f - 624061 = -84691*f for f.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 946, 944, 940, 934?\n\"Answer: -t**2 + t + 946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1202 (base 3) to base 9\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/29 in 1\/12, -77, 305, 4, 0, 3?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 6*k**2 + k - 11. What is b(0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3519 + 3529. Let o = 231 - 94. Calculate the remainder when o is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 253505?\nAnswer: 1\/36215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 996, 1852, 2734, 3654, 4624, 5656, 6762?\nAnswer: 7954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 45*n - 204. Let t be l(5). Which is the third biggest value? (a) 1\/2 (b) 475 (c) -3 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2333050 (base 7) to base 2\nAnswer: 1000111110001100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 2 - 1)*(4*a**2 - 14*a**2 + 7*a**2).\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1129537840?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38 and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-18))\/(6\/90).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.18 - -0.02. Sort i, -1\/12, 7\/3 in increasing order.\nAnswer: -1\/12, i, 7\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 2*j - 3. Let o be (18\/(-1))\/(1*-1). Let n = -10 + o. Calculate the smallest common multiple of n and z(-2).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15 - -234662?\nAnswer: 235010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w - 236 = -12*w + 7*w + 24 for w.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*j + 3*g = -209, 0 = 4*j - 2*g - 806. Is 4 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 5*l**3 - 3*l**2 + 6*l - 4. Suppose 152*u = 17*u + 540. Let h(d) = 4*d**3 - 3*d**2 + 5*d - 3. Give u*h(t) - 3*g(t).\nAnswer: t**3 - 3*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11409.44 rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 10 = 3*l, -3*w + 48 = -4*l. Let o be (w\/18)\/(8\/684*3). Solve o*t = 24*t + 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t - 1. Let r = -11 - -15. Suppose 0*g = g - 5, 0 = -f + r*g - 15. Let a = -1 + f. Calculate s(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k - k**3 - 81 + 84 - 2*k + 6*k**2. Let p be y(5). Suppose -9 + p = -m. Which is bigger: 10 or m?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/25 of a century?\nAnswer: 336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p - 18. Let k be j(-14). What is the units digit of (k - -2 - -1)*-16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + -1)**2 + (sqrt(112) + -2)**2 + sqrt(7) + 4 + sqrt(42)\/sqrt(6)*6.\nAnswer: -21*sqrt(7) + 373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5636 = 2*f - 2*v - 23562, 10*f + 5*v - 145900 = 0. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2488.998 decades to centuries.\nAnswer: 248.8998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 2*o + 4 = 0. Let j = 55\/3 - 18. Which is greater: j or o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -119 or -113?\nAnswer: -113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 379, 376, 373, 370, 367, 364?\nAnswer: 361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -520626*a**4 + 20*a**3 + 27*a**2 + 79636*a?\nAnswer: -12495024*a + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**3 - 6*c**3 + 4 - 19*c**3)*(-20 - 2 + 3).\nAnswer: 551*c**3 - 76","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4404\/(-899517))\/(16\/(-344)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of 31*m**3\/6 - m**2\/2 - 17*m. Let h = 2 - 1. What is the units digit of r(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/7 + 248*m\/7 - 7688\/7.\nAnswer: -2*(m - 62)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cckr when four letters picked without replacement from {t: 1, r: 1, c: 2, e: 1, j: 1, k: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 14488565 and 93.325?\nAnswer: 14488471.675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(-4))\/(8\/(-320)). Let d = o + -25. Calculate the smallest common multiple of 5 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2795d (base 14) to base 8\nAnswer: 277137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -3*x - 8, 12 = 3*r - 0*x - 2*x. Let n = 2.57 + 0.73. Let f = -115.4 + 115. Which is the third smallest value? (a) r (b) f (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*p - 42*p - 18 = a, -2*a = -p + 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131864*k - 143994 = 133262*k for k.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d + 1. Let x be q(-6). Put 3, 7, x in decreasing order.\nAnswer: 7, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**2 - 5*b + 3. Let t(a) = -a**2 - 2*a - 1. Let i(p) = -4*p**2 - 11*p - 3. Let v(d) = i(d) - 5*t(d). Let x(g) = -q(g) + 2*v(g). Give x(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 327 - 327. Solve q = 2*p - 6*p + 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 80.9 + -76.9. What is the smallest value in 2.8, t, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4*u + 14 = 5*h, -4*h = 2*u - 2. Suppose -x = -0 - h. Solve x*m - m + 3 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 288717*n*r**3 - n + r**4 - 2*r**2 + 96906 with respect to r.\nAnswer: 866151*n*r**2 + 4*r**3 - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/15 and ((-1)\/14)\/((-54)\/2373).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -150 - -163. Suppose -7*z = x - 6. Which is the closest to 1\/12? (a) 3 (b) 0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26477.\nAnswer: 11, 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -558*g**2 + 606*g**2 + 1656*g**2.\nAnswer: 1704*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 - 2*u**3 + 24)*(10*u + 0*u - 2*u) - 80*u**4 + 197*u**4 - 90*u**4 - u.\nAnswer: 11*u**4 - u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1284.041mg?\nAnswer: 1284041000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*c - 126 = 3*c + 35*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 14 + (-32 - 7).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of 2*l**3 - 4*l**2 - 8*l + 1. Let b(q) be the first derivative of -41 + 2\/3*q**3 - 3*q - 3\/2*q**2. Give -14*b(f) + 5*h(f).\nAnswer: 2*f**2 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 2:26 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -32, -5, 5, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 3*d - 23 = 1, d - 3 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 116\/1365 and -71\/615.\nAnswer: 55965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 + 45. Calculate the remainder when f is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 111 - 112. Let s(v) = -6*v**3 + 9*v**2 + 18*v. Let n(r) = r**3 + r**2 - r. Let q(m) = h*s(m) - 3*n(m). Find x, given that q(x) = 0.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 245*m + 35. Let r(y) = 75*y + 11. Determine 3*o(j) - 8*r(j).\nAnswer: 135*j + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (24\/72)\/((-6)\/27)*4\/6. Which is the second smallest value? (a) 0.4 (b) -0.3 (c) i (d) 2\/2261\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 11:35 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 122 + 910 = 0. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = 7*p + 1528*k - 1526*k, 4*k = 32 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -108019\/274100 - -22150482021\/2661236900. Let d = g - 1\/1387. What is the common denominator of -65\/24 and d?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -227\/195 - -54\/65. What is the closest to b in -0.07, -2\/3, 2\/7, -4?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -j + 70, 0 = 5*j + t - 2*t - 350. Calculate the greatest common divisor of j and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -9071, -17966, -26701, -35288, -43739, -52066?\n\"Answer: -2*o**3 + 92*o**2 - 9157*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -77561 (b) 1\/2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -12*h**2 + 3 - 9*h**2 - 9*h**2 - 6*h**3 + 34*h**2. Let g(i) = 17*i**3 - 11*i**2 - 8. Give -4*g(l) - 11*m(l).\nAnswer: -2*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, k: 3, j: 5}. Give prob of picking 2 k.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -747 + 111987?\nAnswer: 111240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 3*n**2 - 2. Let x be h(3). Which is the second biggest value? (a) -1\/8 (b) 2\/11 (c) x (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(((-46)\/(-1))\/2). Let j be ((-135)\/36)\/((-6)\/8). Suppose 4*o - 3*i = -j*i, -3*o - 26 = -5*i. Which is smaller: o or s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/sqrt(7) + 4 + sqrt(2) + 0 + sqrt(8) + sqrt(2))**2.\nAnswer: 40*sqrt(2) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 765272, 764387, 763504, 762623, 761744, 760867, 759992?\nAnswer: 759119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 10*b + 1. Calculate z(3).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 804 - 733. Is 89*(r - -3)\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, h: 2}. What is prob of picking 2 i?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1079 and -196.11?\nAnswer: 211602.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -333440312401?\nAnswer: -333440312410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fqqfqwww. What is prob of picking 1 w and 1 q?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1155 - 1155. What is the fourth smallest value in o, 11, -0.3, -0.5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 4*v + 3. Let p be (-3)\/(-1) + 0\/2. Let d be x(p). Let c be (23 + 4 - -3)\/(0 - -1). Calculate the greatest common factor of c and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 35.34 and 502.\nAnswer: 17740.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -1, -25544103 in descending order.\nAnswer: 5, -1, -2, -25544103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2.34 (b) 1\/3 (c) 0.073 (d) 3 (e) -0.93 (f) 62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*z**2 + z**3 + z**3 - 1 + 1.\nAnswer: 2*z**3 - 56*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13011330 + -31332?\nAnswer: 12313332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 788161720?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 13*d**3 + 2*d**2 + d. Let z be w(-1). Let r be (0 + 4\/z)\/((-1)\/18). Suppose 0 = n + 2*n - r. Solve 3*b = -2*o - 0*o + 10, 4*o + 12 = n*b for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 24*y**2 + 28*y + 68. Let v = 4429 - 4454. Give o(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1980\/(-110)*68\/(-24)*10\/60*12\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000010110 - 10011010000010?\nAnswer: -10000001101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of 2*m**4\/3 + 5*m**3\/6 - 4*m. Is z(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 393.18\nAnswer: 393.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 - 5*h**2 + 11*h + 13 + 3*h**2 + 4*h**2 - 1. Calculate y(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8237 - -8441. Calculate the remainder when w is divided by 27.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 561043 is divided by 477?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2 + sqrt(162) + -4 + 5)*-4*-4*3)**2.\nAnswer: 1990656*sqrt(2) + 6303744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20819 is divided by 473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11166 and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r + 14*r - 3*i = -27, 74 = -6*r + i for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/3 - 284\/4. Let z = n - -349\/5. Let u = -4 + 3. What is the third biggest value in z, 0, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -53 - -68. What is the remainder when 54 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12 or -26528\/2045?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3456 = 105*q - 197*q + 146*q for q.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/7 - 710*v**2\/7 + 18*v\/7 + 6390\/7.\nAnswer: -2*(v - 3)*(v + 3)*(v + 355)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 196 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*m - 875 - 4675 = -26*m for m.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 1)*(-2 + 2*p + 2) + 0 + 2*p + 0 - p + 0*p + 2*p + 4 - 4 + p + p + 2 - 2 + (5 - 3 - 4)*(2*p - 2*p + 2*p) - 3*p + 2*p + 3*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 99209, 198419, 297629?\n\"Answer: 99210*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of u**5\/60 - u**4\/3 + u**3\/6 - u**2. Let q(t) = -7*t**2 + 29*t + 3. Let m be 0*6\/42 - -4. Let h be q(m). Calculate o(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-9 - 4) + 3)*(-2)\/4. Let o(t) = 2*t - t + 2*t**3 + 4*t - 7 - 6*t**2 - t. What is the remainder when o(p) is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in -1.7, -0.3, 0.2?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.69747 - 0.6894542. What is i rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 248*k**2 - 1 + 1.\nAnswer: -248*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 92, 0.6, -27?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.6 + 8.7. Let s be (-2)\/(-8)*(-1 + -1). Sort s, -5, d.\nAnswer: -5, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -531, -974, -1363, -1704, -2003, -2266, -2499, -2708?\n\"Answer: -v**3 + 33*v**2 - 535*v - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 1783*o + 8932. What is x(-5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 3278.\nAnswer: -983.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 141506 to the power of 1\/2, to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 8*z**2 + 15*z + 5. Let l be n(5). Suppose t - 174 = -l*d + 98, -t = 3*d - 270. Let w = t - 76. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 780659187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 + 2*m**2 - 6*m**2)*(0 - 1 + 3) + 4*m**2 + 0*m**2 - 3*m**2 + (0*m - m - m)*(1 - 1 - 2*m) + 3*m**2 - 3*m**2 + 9*m**2 - 2 - 3*m**2 + 2.\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 5*c + o, -2*o + 7*o - 23 = 2*c. Let m = 17 + c. Let j = m - 4. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*t - 3. Let z(w) = 5*w**3 - w**2 - 3*w + 3. What is the lowest common multiple of z(t) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -453452 or -453453?\nAnswer: -453453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 213\/15 - ((-42)\/(-10) - 4). Let d(x) = -x**2 + 15*x - 24. What is d(q)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4*q - 69 = 682, 2*q = 2*c - 1478. What is the smallest common multiple of 12 and c?\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(228)\/(sqrt(12)*2) - (2 + (-2 + sqrt(19))**2)).\nAnswer: -25 + 9*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/21 and 55\/126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-312)\/(-16)*26\/3. Suppose 2*m - 573 = -4*i + 103, 4*m + a = i. Suppose 2*d - 233 = -5*y, -5*y + 3*d + i = -44. Does 15 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(2\/13))\/(k\/(k\/k**1)))\/((k*k**2)\/(k*k\/(k**(3\/2)\/k)*k)))\/((k**(2\/7)*k)**(-1\/12)*(k*k**(-1)\/k*k)**(1\/11)) assuming k is positive.\nAnswer: k**(-199\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f = -4*f - 15. Let u = 2 + 9. Solve f*p - u = -3*m + 4*p, -17 = 4*m + 5*p for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -613805130, -1227610258, -1841415386?\n\"Answer: -613805128*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 29\/2 of a milligram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1617460.11 seconds to days.\nAnswer: 18.720603125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -583\/156 + 15\/13. What is the common denominator of (-1)\/(-21)*(-246)\/(-4) and i?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ekkeaakykkkktkkekyt. What is prob of sequence teee?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55 and 153374573.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 254.8146 nanoseconds?\nAnswer: 0.2548146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 285 and 35?\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n + 14547 - 14547.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 1:24 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00893912496 rounded to 6 dps?\nAnswer: -0.008939","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t - 2. Let a(r) = 4*r + 15. Let h be a(-6). What is j(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 8. Suppose -4*s = 43 + a. Let r = -7 - s. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -202 + 1624. Suppose 2*q = -2*j + 1418, 2*j - 9*q + 7*q = w. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 4*s**2 - 2*s - 3. Suppose -51 + 180 = 3*v. Suppose -3*q + 2*j + 3*j + v = 0, q = j + 15. Suppose 4*y + q = -0*y. Determine n(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mn when two letters picked without replacement from {m: 3, n: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/160 and -93\/220?\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 1)*(7 - 12 + 14)*(-p**2 + 3*p**3 + p**2).\nAnswer: -81*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 - -20)*11\/3. Let n = -39 + p. Calculate the smallest common multiple of n and 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (116\/24 + -4)\/((-2)\/((-30)\/25)). What is the closest to a in -2, 50, 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) + -1 - (sqrt(20) - sqrt(20)*2)\/sqrt(10))*4 + (1*sqrt(2)*-3 - 4*sqrt(12)\/sqrt(6))**2)*4.\nAnswer: 144*sqrt(2) + 376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from ebbpehbpbbnbbhppnn?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 7 - 1 + 13 - z. Let g be 4*(12\/2 - 2). Let v be y(g). Solve -f = -3*f + 4, -v*b - 3*f = 6 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*g - 281*g + 1533*g as a*g + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*z - 2 = 24*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27\/2 of a millimeter?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 + -25. Suppose j = 5*c + 5*j - 5, 4*c - 4 = 2*j. Is 1*(c - r - 3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38 - 16. Suppose 2*k = 4*k - y. Is k a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48066 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -3*(2 + 38065\/(-15)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1413 + -83.2413. Let j = r - -83. Which is the nearest to 1\/2? (a) j (b) -2 (c) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220538 is divided by 178.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a millennium in decades?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91, -183, -277, -373, -471, -571, -673?\nAnswer: -777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111571253 is divided by 28.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1041, -7999, -26621, -62655, -121849, -209951, -332709, -495871?\nAnswer: -705185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2005, -4111, -6219, -8329, -10441, -12555, -14671?\nAnswer: -16789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, b: 1, u: 3}. What is prob of picking 2 u?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -q**3 - 4*q**2 - 8*q + 2 + 1\/6*q**4. Find p, given that v(p) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + -8*4)*16\/(-3). Suppose k*i - 177*i = -151. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 189*j + 13. Let m be y(-1). Let u = m + 186. Calculate the greatest common divisor of 10 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229 is divided by 34?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 - -31. Let c(y) be the first derivative of 0*y**5 - 2 - 1\/2*y**j + 0*y**4 - 1\/6*y**6 + 0*y**3 + 0*y. Find the second derivative of c(b) wrt b.\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -11000000110011110111100?\nAnswer: 11000000110011111000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18713902297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, n: 1, k: 1, x: 4, h: 1, c: 1}. What is prob of sequence ncx?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 435389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66 by 4333.\nAnswer: 66\/4333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11415 - -16783. What is the thousands digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 35 - (42 + -67)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 885 + -884.96. What is the biggest value in 2\/3, g, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000002769963 to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*s + 412 = 9*s - 368 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -514 = -12*d - 118. Solve 0 = 5*w - 8 + d for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2a + 125202c?\nAnswer: 1252059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -z - 3*z. What are the prime factors of z?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7a08 (base 14) in base 13?\nAnswer: 983c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p + 3. Let k(m) = -2*m + 1 - 4 - 1. Suppose 4*b - 61 - 15 = 0. Let h = b + -24. Calculate h*o(a) - 4*k(a).\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -129470 rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*g = 76*g - 1. Let j be (-56)\/(-56) + 68\/(-46). Is g smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209325 = -33*q + 28*q + 5*v, -4*q - v + 167465 = 0. What are the prime factors of q?\nAnswer: 2, 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 n when three letters picked without replacement from {j: 1, f: 2, k: 1, n: 1, h: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111010 (base 2) to base 6.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000400923 rounded to seven decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, 0, -2, 2, -5 in descending order.\nAnswer: 2, 0, -2, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 198 + 642. Find the common denominator of 148\/d + 2\/(-14) and 17\/4.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-5) - (5\/(-40) - 1). Let u(o) be the first derivative of 1\/2*o + 3 + c*o**2 + 7\/12*o**3. Let u(n) = 0. Calculate n.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 6*k - 4. Let q be p(4). Suppose -2*r + q = -18. Let m = 21 - r. What is the greatest common divisor of 30 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 9*o**3 + 17*o**2 - 2698*o + 8. Let s(n) = -10*n**3 - 19*n**2 + 2699*n - 9. Calculate -9*g(q) - 8*s(q).\nAnswer: -q**3 - q**2 + 2690*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*q + 44638 = 54*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 7. Let v(l) = l**3 - 15*l**2 + l - 12. Let p be v(15). Solve -8 = p*x - q*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/8 + 198\/4. Let n = u + 336. Suppose -c - 4*c + n = 0. Calculate the highest common divisor of c and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-505860)\/(-16)*(-2 - 26). Let v = h + 10631251\/12. Let b = v + -683. What is the common denominator of b and 73\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34082 is divided by 77.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 9*v**2 + 8*v + 5. Is p(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cyyccgcgggg. What is prob of sequence yc?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255 is divided by 152?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 8*m**2 + 13*m + 11. Let i be g(-6). Suppose 4*a = i*n + 1819, 6*a - 3*n - 2264 = a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(((5 + sqrt(1300) + 0 - sqrt(1300)) + sqrt(1300) + 2)*6 - 1*2*(5 + (sqrt(1300) - (sqrt(1300) + 1)))))**2.\nAnswer: 146880*sqrt(13) + 1726416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/7 + 12*d - 126.\nAnswer: -2*(d - 21)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 57696457*m**2 - 95*m**3 + m + 2 - 57696457*m**2 - 2*m**4 as v*m + d*m**3 + i + p*m**2 + f*m**4 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 75 - 37. Let i = o + -17. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 208?\nAnswer: -1\/208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.12? (a) -285 (b) 5 (c) 3\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2052*z + 28162 = 751*z - 13883 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21078845?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*t - 6 = -3*h, -3*t - 6 = -2*h. Suppose n + 10 = -4*n. Sort n, 5, h, 4 in increasing order.\nAnswer: n, h, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18 + -27 - (1 - -3)) + (3 - 4)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r. Let g(f) = -6*f + 1. Let a be 690\/15*16\/184. Suppose 5*h + 5 = -0*h. Determine a*j(t) + h*g(t).\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 130 = 4*p + 37, -5*p + 117 = 4*t. What is the remainder when 703 is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6376, -25719, -57958, -103093, -161124?\nAnswer: -232051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(162) + -1 + -1)**2 - ((sqrt(2) + (sqrt(2)*-2 + 2)**2)*-4 + 3).\nAnswer: -28*sqrt(2) + 207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1023, 1021, 1019, 1017, 1015, 1013?\n\"Answer: -2*h + 1025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 - 13 = -j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.96216 - 4683.38216. Let j = v - -4608. Let o = -72 - j. Round o to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((4*-2*sqrt(190) - sqrt(190))\/sqrt(10))**2 - (-4 + sqrt(19) + (sqrt(19) + -1)*-1))*1.\nAnswer: 7710","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*(-1133)\/363 + 20\/(-1760)*48.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4936, 41120, 139294, 330448, 645572, 1115656, 1771690?\nAnswer: 2644664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2811.\nAnswer: 3, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5479 + -5481. Put g, -66, 5 in descending order.\nAnswer: 5, g, -66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k + 6. Let p be g(-6). Let t be (16 - 2) + (-3)\/(p\/(-8)). Are 80\/7 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/16 of a week in minutes?\nAnswer: 4410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 29005173 and -2.\nAnswer: 29005171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 873161 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 0, -2, -109 in increasing order.\nAnswer: -109, -2, 0, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 4*i - 20, -3*i = 2*d - i - 46. Calculate the smallest common multiple of 53 and ((-42)\/8*1)\/((-18)\/d).\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16273, 4, -4, -40 in decreasing order.\nAnswer: 16273, 4, -4, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 1. Let z = 55 + -54. Let p(s) = -s**2 - s - 6. Let a(k) = z*p(k) + 6*o(k). Factor a(n).\nAnswer: -n*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 3*u**2 + 11*u - 1. Let c be f(5). Suppose 0 = -c*a + 440 + 1536. Is 13 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32253\/11 + -8126777\/2772. Find the common denominator of -13\/693 and f.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2926209685?\nAnswer: 5, 7, 11943713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + 21. Suppose 0 = 4*j - a - 1. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1125 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(9\/(-1)))\/((-3)\/(-41058)). List the prime factors of 12\/42 - h\/7.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(-2*sqrt(10))*-3 + 0.\nAnswer: 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -773?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 4:20 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 402050 and 13975?\nAnswer: 1075","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 57 + -53. Which is the closest to -0.02? (a) 0.2 (b) h (c) 1\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -14*g**3 - 2*g**2 + 1. Give x(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -27. Suppose 0 = -4*p - 0*p - 3*k + 2, 5*k + 2 = -4*p. Suppose p*m + 3*m = a. What is the smallest common multiple of 10 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1223505 (base 6) to base 3.\nAnswer: -10100000212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 69 + 106 + -180 - 596\/(-28)*(-7)\/(-30)?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 4*s - 9*s - 6950395, 0 = 5*u - 5*s + 6950365. Let c = 2250076 + u. What is c rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34619*d**4 - 83*d**3 - 42904151*d**2 wrt d?\nAnswer: -830856*d - 498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4041330130 (base 5) to base 16\nAnswer: 7c636b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -21*a**5 + 4*a**2 + 6*a + 2. Let x(k) = 41*k**5 - 10*k**2 - 11*k - 5. Let g(s) = 10*v(s) + 4*x(s). Find the second derivative of g(p) wrt p.\nAnswer: -920*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 22*i + 7. Let c be l(-5). Let q = -87 - c. Let g be (-6)\/(4 + -2 - 0). Put 4, g, q in descending order.\nAnswer: q, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 81 and 0.239.\nAnswer: 19.359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 346312.51 rounded to the nearest 10000?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 + 12*a**2 - 4 - 2 in the form t + p*a**2 + h*a and give p.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4403718 and 441738.\nAnswer: 4554","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 594 and 192522.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*v**3*x**2 - 107*v**3*x + 89775*v**3 + 32407*v**2 + 157*v*x**2 - 4*v*x wrt v?\nAnswer: -18*x**2 - 642*x + 538650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 106 - 95. Calculate the remainder when 31 is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88+-60\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 15 = 3*n, 0 = c - n - n - 10. Suppose -3*b - 3*b + 12 = c. Solve v + 2 = -b*k - 3*v, 2*v - 2 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**2 - 9*q + 4. Let p be o(5). Let a be (-26)\/p + 54\/7. Suppose 3*j + 1115 = a*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 28*u**2 - 5*u - 2. Suppose -11*g = -19*g - 24. Let a(r) = -84*r**2 + 14*r + 7. Let h(p) = g*a(p) - 8*b(p). What are the prime factors of h(-2)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*j - 4. Let c(o) = 2*o - 5. Let i(x) = -1. Let a(s) = -c(s) + 4*i(s). Let d be a(j). Solve d = -0*r - r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3a (base 13) to base 11\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 494*b - 7 + 31 - 3*b**3 - 169*b.\nAnswer: -3*b**3 + 325*b - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5*10\/(-50)*7\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(170)*1)\/((sqrt(70) + (sqrt(70) - sqrt(70)*-1))\/sqrt(7)).\nAnswer: -5*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 2.5. Let p = 12 - 21. Let h = -8.6 - p. Which is the closest to 0.1? (a) h (b) n (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8772347 kilometers to meters.\nAnswer: 877.2347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17452?\nAnswer: 2, 4363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**2 + 2*z**2 + 0*z**2)*(-2074*z - 3016*z + 3820*z).\nAnswer: 2540*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 * 1386788\nAnswer: -124810.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 184326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38970.\nAnswer: 2, 3, 5, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 341 and 310.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-129)\/7)\/(543\/(-1267))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1162 is divided by 381?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-4)*2 + 5. Suppose 2*n - 4*n = -r. Suppose -n*m + 32 = 4*o, -o + 0 = -m - 2. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*k - 6 + 25*k - 90*k + 29*k to the form b + m*k and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 9 = 2*v, -74*v = 73*v - 144*v - d + 22 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -6.26458\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - q - 4*q)*(-3*q + 3*q - 11*q**2 + (-2 - 8*q + 6 - 3)*(2*q - 4*q + 3*q)).\nAnswer: 133*q**3 - 7*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*y - 4*j = -54, y - 3*j = -13. Find the common denominator of (-1)\/(-2)*(-89)\/y and 1\/(-2)*(20\/11 - 1).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*h**2 + 2*h**3 - 7*h**2 + (-4*h**2 - h + h)*(4*h - h - 4*h) to the form a*h + m + q*h**3 + w*h**2 and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -94, -98, -102?\n\"Answer: -4*v - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 4*z - 3. Let i = 81 - -9. Let g = -116 + i. Let c be 2 - g\/(-12) - 116\/24. What is m(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.7 and -0.9.\nAnswer: -1.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 74 (base 8) to base 7\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9114.33t?\nAnswer: 9114330000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13428, 13449, 13470, 13491, 13512, 13533?\nAnswer: 13554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2\/47, -3.8 in descending order.\nAnswer: 3, 2\/47, -3.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does -855790 = -855788?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2084 + 3528. Let i be q\/18 + 3\/(-9). Let m = 80 - i. Which is the third biggest value? (a) m (b) -5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**3)\/((u**(-5)*u)\/u))\/(u\/(u*u*u**(-1)))**(-2) assuming u is positive.\nAnswer: u**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d**(-4\/3)*d))\/d)\/d)**(-2\/37)*d*d**(1\/3)*d**(2\/5) assuming d is positive.\nAnswer: d**(982\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 8) to base 2\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*z**6 + 19*z**4 - 24*z**2 - 5 wrt z?\nAnswer: -1680*z**3 + 456*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 5*q. Let t(j) = -15*j. Let b(c) = c. Let u(f) = 2*b(f) + t(f). Give u(s(v)).\nAnswer: -65*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -599*d + 675. What is the remainder when 2956 is divided by h(1)?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*q**3 - 4*q + 4*q - 5*q**3.\nAnswer: 28*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2 + 4068*b + 16336.\nAnswer: -4*(b - 1021)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9809 divided by -45?\nAnswer: -9809\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-141978189600)\/18200 + (-1 - 3\/(-7)). Round t to the nearest one hundred thousand.\nAnswer: -7800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -4117*b**2 - 1. Let q(i) = i. Give m(q(d)).\nAnswer: -4117*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4029107625?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 379469 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -297 - -11?\nAnswer: -286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 66 - 42 + 8)*(2*p + 0 + 0) as b*p + c and give b.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 22 (b) 0.3 (c) -3 (d) 2\/3 (e) 3 (f) -594.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - -25. Suppose 5*x - 5*j = 15, -p*j + 7 = 5*x + 16. Suppose 14*t - 17*t + 3 = x. Calculate the highest common divisor of 4 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*c**2 + 268767*c\/4 - 436683\/4 = 0. What is c?\nAnswer: 13\/8, 11197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -332101001023 (base 4) to base 11.\nAnswer: -923948a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 354 + -342. Solve -f = -u*f - 22 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-6))\/(2\/(-282)) - -1. Let i = 56 - l. What is the remainder when (1\/2)\/(i\/480) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21057?\nAnswer: 3, 7019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 319725 and 892731.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4272 - 4268. What is the highest common factor of z and 316?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 2*a = -6*v - 13, -3*v + 4*a - 29 = 0. Let n(q) = -4*q + 0 - 3 + 5*q. Let x(r) = 3*r + 9*r + 1 - 3*r - 8*r. Calculate v*x(t) - n(t).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(-1*sqrt(320)) + -5 - ((-3*sqrt(36))\/sqrt(2))\/sqrt(6)*-2)**2.\nAnswer: 245*sqrt(3)\/4 + 8803\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5100)*-2 - (sqrt(357) + sqrt(357)*2 + sqrt(357))\/sqrt(7))\/(sqrt(2700)*1))**2.\nAnswer: 272\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iuit when four letters picked without replacement from {u: 2, d: 1, t: 3, w: 4, i: 2}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + 3 + 3 + -15.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 11. Let m be 2*o\/(-12) + 1. Sort -2, 2, m in decreasing order.\nAnswer: 2, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 u when two letters picked without replacement from gdulzuxdg?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 2*g**2 + 41*g + 12. Let q be k(0). Solve -2*r = -4*y + 12, 20*y - 24*y + 4*r + q = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2157503.\nAnswer: 2157503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 561 - 539. Sort k, 0.1, 2\/17 in ascending order.\nAnswer: 0.1, 2\/17, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 16 (b) 32\/117 (c) 58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1729, -2582, -3431, -4270, -5093, -5894, -6667, -7406?\n\"Answer: o**3 - 4*o**2 - 848*o - 878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/17368293 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 8 = -2*m, -5*m = -11*c + 6*c + 25. Suppose 4 + 4 = 5*u + 4*b, -4*u + b = 2. Let r(i) = -i - 1 + 7 + u. What is r(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 z when two letters picked without replacement from zwgue?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -27, -2, -1 in ascending order.\nAnswer: -27, -4, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**2 + 7*l - 25. Let x(s) = -s**2 + 4*s - 11. What is 4*p(r) - 7*x(r)?\nAnswer: -r**2 - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eggf when four letters picked without replacement from {g: 3, e: 7, f: 4, q: 1, o: 1}.\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (158\/((-31600)\/2100))\/(3\/(-2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 28 * -1976\nAnswer: -55328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 725208 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 4*o - 5*d + 4, 43 = 9*o - 5*d - 46 + 110 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -86, -401, -914, -1631, -2558, -3701, -5066, -6659?\nAnswer: -8486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**3 - 34*p**2 + 173*p - 8. What is k(8)?\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-26447)\/(-18) + (-34)\/(-153))*2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6197309?\nAnswer: 6197309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 5:34 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1)**(-43)\/(u**(1\/6)*u**(1\/8)) assuming u is positive.\nAnswer: u**(-1039\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/(3600\/(-168))*4\/7.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -324.74 - 5.26. Let q = 330.03 + z. Let r be (4\/(-6))\/(2\/3). Which is the third smallest value? (a) q (b) r (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 - 51048*n**2 + 765238*n + 816288.\nAnswer: 2*(n - 25509)*(n - 16)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4 - 5 = 0. Suppose b*r - 5*y - 48 = 0, 4*r + 5*y = 4*y + 64. Let x = 35 - 13. What is the lowest common multiple of x and r?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -10 + (9 - (1 + 13 + -6))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, 275, 0, -3, -22 in decreasing order.\nAnswer: 275, 0, -3, -22, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a - -89326?\nAnswer: 89335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 415.9642m to centimeters.\nAnswer: 41596.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*x, -h - 5*x = -4*h + 106. What are the prime factors of h?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 18 - 15 = 0, -4*n = -5*n - n + 51*q - 235 for n.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -23617*h**2 - 14525. Let c(g) = -29522*g**2 - 18155. Let i(x) = -9*c(x) + 11*q(x). Differentiate i(a) with respect to a.\nAnswer: 11822*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/274586 and -33.\nAnswer: 274586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2241 = 5*x + 4*v, 25*v = 3*x + 22*v - 1323. Calculate the highest common divisor of 2492 and x.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1326512 (base 8) in base 12?\nAnswer: 15b376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 j, and 1 o when three letters picked without replacement from uvuujosuu?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1366000 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 u, and 1 c when three letters picked without replacement from acucuyycucecuec.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126 = 12*o - 102 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**3 - f**3 + f**5 + (-5*f + f + 0*f)*(-7 + 7 + 6*f**4).\nAnswer: -23*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.24 - -0.24. Let z = -459782\/4745 + 3099\/73. Let o = z + 273\/5. Which is the third smallest value? (a) x (b) o (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -7 + 2, -2*c + 2*m + 176 = 0. Is 29 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 + 31. Suppose -x - 3*s + 30 = 2*x, -4*s = 2*x - 30. Suppose x*o - 3*y = 14, 0 = 4*o - 5*o + 2*y + 7. Which is bigger: o or k?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 11 - 1 - p + 0*p. Let y be h(9). What is the nearest to -0.2 in -5, y, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36162, -76486, -116812, -157140, -197470, -237802, -278136?\nAnswer: -318472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 55 = 5*d, 3*d - z - 20 = -3. Suppose -2*k + 39 = k + 4*g, 9 = 2*k - 3*g. Let o = k + -6. Calculate the smallest common multiple of o and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 985697783 to the nearest integer?\nAnswer: 995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -309*j + 327*j - 354 = 583 - 325 for j.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-4) + 136\/16. Solve 3*b - d*b = -20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 500 minutes before 8:22 PM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2954671?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 423583518?\nAnswer: 2, 3, 401, 176053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 4*l + 12, 2*c - 5 = 4*l + 3. Let v be (0 + c)*8\/(-2). Suppose -2 - v = -2*s. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**1)**(-27)\/(x**(-2\/19)*x*x**(-6)))\/((x**(2\/9)\/x*x**(-3\/4)*x)\/(x*x\/(x**0\/x))**(-24)) assuming x is positive.\nAnswer: x**(-63863\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*z - 147*z + 4192 = 0. Let w = z - -1488. What is the hundreds digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 42 + 18?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -139153 greater than -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110663*g - 110577*g + 1548 = 0 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 25*p + 0 + 5 + 1.\nAnswer: 25*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -670, 2762, 8484, 16496, 26798, 39390?\nAnswer: 54272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 5*c - 598. Let w(l) = -l**3 + 3*l + 598. What is 2*u(f) + 3*w(f)?\nAnswer: -f**3 - f + 598","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11390*w**2 - 1334*w**3 + 11390*w**2 - 3*w + (0*w + 0*w - w**2)*(-5*w + 3*w + 3*w).\nAnswer: -1335*w**3 - 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -761 minus -42155?\nAnswer: 41394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide -28*1*(-6 + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**2 - r + r + 3*r**2 + 1 - 1 + (5*r - 3*r + 0*r)*(2*r - 3*r - r) - 5*r**2 + r**2 + 2*r**2 as y + a*r**2 + q*r and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m**2. Let w(b) be the first derivative of -b**2 + 7*b - 1631. Give s(w(q)).\nAnswer: 12*q**2 - 84*q + 147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(95)*1)\/(sqrt(5) + sqrt(15)\/(sqrt(3) - 5*sqrt(3))) + 3 + -3.\nAnswer: -8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5652 or -2\/3?\nAnswer: 5652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/5 in 2.89, 1\/6, -4, -161, 0.1?\nAnswer: 2.89","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.208 + 0.2353. Round s to 3 dps.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 88 + -79. Let l be (-1 - 42\/(-12))\/((-1)\/(-2)). Solve 0 = 2*c + 2*f, 2*f = l*c - 2*f + u for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2814 - 129714?\nAnswer: -126a00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**12)**(7\/5)*((x*x**(2\/21)*x)\/x)\/x**(-21))**(-1\/54) assuming x is positive.\nAnswer: x**(-2042\/2835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*n**3 + 21*n**3 - 122*n**3.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22387, -22384, -22379, -22372?\nAnswer: -22363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 7*f = 34. Suppose -4*p - 12*c - f = -17*c, -11 = 4*p + c. Let a = 1 - -2. Sort p, 6, a, -2 in increasing order.\nAnswer: p, -2, a, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/4 + (-1)\/(-2). Let z(j) = -8080*j**2 + 4039*j**2 - 3*j + 4042*j**2 - j**3. What is the tens digit of z(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -32 + 19*w + 74 - 41 in the form c + l*w and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 87, 188, 329, 510?\nAnswer: 731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of 391667*t**4\/12 - 2*t**3\/3 + 5*t**2. Let b be z(6). What is b rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (85\/51)\/((-10)\/(-6)*42\/672)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 165193129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 10712 = -5*f - 10711, -2*x = 5*f - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 197 - 169. What is the tens digit of (389 - -1)\/(((-147)\/l)\/(-7))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b2c - b318?\nAnswer: -be45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d*d\/(d\/(d\/(d**(-7\/5)\/d*d)))*d)\/d))\/(d**(-8)\/d)*(d\/(d\/(d*d**(-1)*d*d*d)*d))**(-40) assuming d is positive.\nAnswer: d**(-367\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 191021?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 174.2145 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*c**3 - 47*c**3 + 461*c**2 - 354*c**3 + 256*c**2.\nAnswer: -427*c**3 + 717*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.82 - 5.02. What is t rounded to one dp?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/10 or -0.07?\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5565 + -5524. Let w = -196.411 - -237.29. Let v = w - r. What is v rounded to 2 dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14.52 + -13.75. Let d = -1.63 - -5.08. Let v = m - d. Round v to one dp.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(18)\/sqrt(6))**2*6 + -1 + (sqrt(3)*-2 + sqrt(3))**2 + sqrt(3))*2 + ((6*sqrt(2904))\/sqrt(8))**2 + 0).\nAnswer: -39324 - 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 5:53 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1042 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1927 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02097671043 rounded to 4 decimal places?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -14402*v + 532866. Give u(37).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**2 + 4*v + 3. Let q be c(4). Suppose 0*b - b = -q. Suppose 4*y + k - b = -8, -y + 4*k = -32. Is y a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 13 = 3*v + 2, 2*a - 3*v + 0 = -8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -4*c - 12. Let w be 0 + c - (1 - 1). Let y be w\/10 - (5 - 7). Which is smaller: y or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 286 and 5577?\nAnswer: 11154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2769183176?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 60773584?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((20\/12)\/(-5))\/((-66)\/22).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22.1 - -24.5. What is q rounded to zero dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61702 bigger than -104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15171702 a multiple of 546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**2 + 726*v**3 + 338*v**3 + 2*v - 15*v**4 + 17*v**4 to the form s*v**2 + z*v + q + j*v**4 + i*v**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, y: 1, i: 7, n: 3, a: 6}. Give prob of picking 2 o and 1 y.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (18\/15)\/(5\/(-25)). Let z be h\/(-4) + 870\/(-576). Let c = -209\/1632 - z. Which is bigger: c or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-1*(2 + ((2*sqrt(2057))**2 - sqrt(2057)) + sqrt(2057) + -4*(-1 + sqrt(2057)))*3 + 5 + 0.\nAnswer: -792*sqrt(17) + 148217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2188879 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -111070\/3 - -37480. Let m = 23221\/51 - q. What is the common denominator of 31\/10 and m?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 3:21 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.97 - -0.03. Let w = 13411 - 13412. Which is the closest to 1\/5? (a) o (b) w (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x + 201. Let j(i) be the third derivative of -i**5\/20 + i**2 - 119. Calculate j(k(s)).\nAnswer: -3*s**2 + 1206*s - 121203","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 247 + 297 = 0. Suppose -k + w = -29, f*k - 6*k - 108 = 2*w. Solve -5*v + n = k, 4*n - 2*n = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 267\/4 - 68. Let o = -0.3 - 1.7. Let n be ((-6)\/4)\/((-18)\/8). Which is the closest to -1\/2? (a) n (b) x (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1486257 is divided by 53?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40774590?\nAnswer: 2, 3, 5, 71, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/(-7) + (-16)\/56. Let m = f - -6. Suppose 0 = -0*d - 3*d - m*k + 6, 0 = 2*d + 5*k + 1. Calculate the remainder when 26 is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) + 1)*-6 + 2)**2 - (-3*(1 + sqrt(684)) - -4*(1 + sqrt(684)))**2.\nAnswer: 228*sqrt(19) + 16431","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 2*y, -5*o = -y - y - 9. Let i(n) = -n + 1. What is i(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -422 divided by 89\nAnswer: -422\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 2*w**2 + w + 2. Let j be d(-2). What is the smallest common multiple of 11 and j + (0 - -1) + 1?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -30)*((-450)\/(-297) - (-6)\/(-33))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 108512443?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50.8 - 51. Put 0.4, 1, 0.3, k in descending order.\nAnswer: 1, 0.4, 0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4\/35 - -19\/140. Let k = 3006.8 - 3007. Which is the smallest value? (a) 1\/3 (b) y (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*m - k - 6, 3*k + 10 = m. What is the least common multiple of 5 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 6 = -3*i - 2, -3*t - 6 = -2*i. Suppose l - 2 - 2 = i. Suppose -2*b - l*m = 4, 3*b - 5*m = 8*b. Solve -b*j + 20 = 3*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 4 + 26\/(-20)*2. Suppose 8*x - 27 = 3*x - 4*h, 5*h = 2*x + 9. Is f greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10381922 divided by -14.\nAnswer: -5190961\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -48\/562615 and 107\/1800368?\nAnswer: 9001840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-28) + (-44)\/105. Let q = 3 - 3.2. Suppose 2*s + 17 = 3*z, 5*z - 44 = -5*s - 24. Which is the closest to q? (a) g (b) s (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -w**5 - 2*w**4 - 1153*w**3 + 3*w**2 + 390 wrt w?\nAnswer: -60*w**2 - 48*w - 6918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 17663 (base 9) to base 16\nAnswer: 2faf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (2 - (-2 + 11))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294 is divided by 60.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 52718.3941 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*k = 22, -3*k - k + 14 = 2*v. Let m(p) = -4*p + p + v*p. Let h(f) = 13*f**2. Give m(h(j)).\nAnswer: 26*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u - 7*u + 85 = 0. Let w(r) = -r - 7*r**2 + u*r**2 - 137 + 141. Calculate w(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -0.05, -2\/3, 2\/7, 41, 0, -1, -9.25?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1634.\nAnswer: 2, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-1\/4))\/(l\/(l\/(l**(-3\/8)*l))*l*l*l))\/(l**(2\/5)*((l*l**(-8\/3))\/l)\/l) assuming l is positive.\nAnswer: l**(107\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1258 = -4*w - 3*r - 45, w - 302 = -2*r. Calculate the remainder when w is divided by 133.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-3 - 45) + 1103 + -1110 - 11?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8392198 is divided by 1398693?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 5*p + 9. Let w be d(-5). Suppose 6*a = w*a. Let b = 2 - -6. Solve -2*v - b = -a*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.172383 rounded to 3 dps?\nAnswer: -1.172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1888832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*x - 55 - 35. Put 45, 1\/9, x, 5 in decreasing order.\nAnswer: 45, 5, 1\/9, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**3 - 28*x**2 + 34*x - 8. Let f(p) = -p**3 + 28*p**2 - 34*p + 7. Let h(m) = -5*d(m) - 4*f(m). Find v such that h(v) = 0.\nAnswer: 2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.012365214 rounded to 3 decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 5:22 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 8*m**3 - 25*m**2 - 27*m - 2. Calculate z(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 2 + -3 - -10. Let r(j) = -8*j + 1152*j**2 + 5*j + 0*j - 13 - 1150*j**2. What are the prime factors of r(g)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2\/3 + 25858984*n\/3 + 41792940844516\/3.\nAnswer: 4*(n + 3232373)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3*p + 66. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cz when two letters picked without replacement from zczkcczz.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*b - 23*b + 1 + 4*b)*(-47*b + 268*b - 78*b) to the form f + j*b**2 + w*b and give w.\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6864\/1267 + -2\/181. What is the common denominator of -2\/11 and b?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 57 - -4. Let u = 145 + v. List the prime factors of u.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152308.\nAnswer: 2, 13, 29, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a century in months?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -0*i + 4*i, q + 14 = 4*i. Let y = -8 + q. Put y, -4, -3 in decreasing order.\nAnswer: y, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/2 + 97*c**2 - 2227*c\/2 + 2870.\nAnswer: (c - 7)*(c - 4)*(c + 205)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 7*v**2 - 8*v + 8. Suppose 5*x = 7*x - 16. Let w be l(x). Suppose w*o - 4*o = 0. Put -5, o, -2 in ascending order.\nAnswer: -5, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27354934*g**3 + 34574560*g**2 wrt g?\nAnswer: 164129604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3326 times -4\nAnswer: -13304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 112426 - -1330?\nAnswer: 114056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.9 + -43.9. Let m = t + 41.84. Let u = 0.83999844 - m. What is u rounded to seven dps?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1887\/252 - 7 - 2\/(-24)) + 43365\/343\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4 - ((9 - 13)\/(-16))\/((-2)\/341896)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22*(-15 + 5)\/10.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-one fifths of a litre?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29410.\nAnswer: 2, 5, 17, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 8*o. Let f(v) = v**2 + 16. Determine f(i(l)).\nAnswer: 64*l**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -10.366\nAnswer: 3.1098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 444561524.\nAnswer: 2, 11, 41, 263, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46 + -68. Let p = n + 36. Let c be (3\/(-12))\/(p\/(-8)). Put -0.5, c, -3, 4 in ascending order.\nAnswer: -3, -0.5, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/(((sqrt(729) - sqrt(9))\/sqrt(3) - sqrt(3) - sqrt(3)) + sqrt(3)) + (sqrt(27)\/(1*sqrt(9)) - sqrt(6)\/sqrt(2)*-4).\nAnswer: 36*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -17*h - 2. Suppose 18 = -13*l - 99. What is the tens digit of s(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 6.1. Let v = 174 - 175.21. Let j = o + v. What is j rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 110 = -6*q. Let h be (25\/(-10))\/(1\/q). Let j = h - -36. Does 26 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28169*z**3 + 42*z**2 + 4315152*z wrt z.\nAnswer: -169014*z + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**(-6\/5)\/o*o))\/(o\/o**(-1\/2)))**10 assuming o is positive.\nAnswer: o**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -6. Let a be 2\/4*(-1 + -11). Let b be a\/9 + (-16)\/(-20). What is the second biggest value in -5, b, c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + 5*k + 4. Let a be m(-7). Suppose 0 = -6*o + 2*o + 72. Calculate the greatest common factor of o and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11590 - 11546 + 23136 - 1126*r**2.\nAnswer: -1126*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 226 + -150. Let j = l - 76.3. Which is the third biggest value? (a) 2 (b) j (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d - 84. Is 57 a factor of z(47)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 542, 534, 524, 512?\n\"Answer: -u**2 - 5*u + 548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 15*g + 50. What is the remainder when 7 is divided by c(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 5*s. What is j(-3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4400.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 57927 at least 59118?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 1. Let r be o(-1). Let n(l) = l**3 + 18*l**2 + 1. Let u be n(-18). Put u, -2, r in descending order.\nAnswer: u, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*k**4 - 2*k**3*x - 9*k*x - k - 10*x wrt k?\nAnswer: 84*k**2 - 12*k*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 9, k: 7}. What is prob of picking 1 j and 3 k?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22937.\nAnswer: 22937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 40.2 (b) 2\/85 (c) -345\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4533\/140 + -981\/35. What is the common denominator of ((-1313)\/(130\/10))\/28 and w?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/2)\/n)**(1\/8)\/((n\/((n**(-3)*n)\/n))\/((n**(4\/3)*n)\/n)))\/((n*n**(-3))**50)**27 assuming n is positive.\nAnswer: n**(129469\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17298, -17296, -17286, -17262, -17218, -17148, -17046, -16906?\nAnswer: -16722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + u + 2. Suppose -30 = -5*k + 5*o, 2*o + 14 = 2*k - o. Suppose k*i + 100 = -i. Let q be (-1)\/(-4) + (-35)\/i. Calculate f(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30996 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 5*k**2 + 151*k + 29. Let r be d(-30). Is 2\/153 at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/15*(-18)\/(-8).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*r**2 - 4*r**2 - 3*r**2 + (-2 + 2 - 1)*(r**2 + r**2 + 4*r**2).\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-2))\/(636\/(-208) - -3). Suppose 5*v - 146 = -y. What is the least common multiple of v and 21?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tx when two letters picked without replacement from xltltjl?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11032160 and 10792?\nAnswer: 783283360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 20 - 40. Let h be p\/(-6) - (-2)\/(-4). Solve 4*f = 2*o + h, 0*o + 5*o - 25 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -277*v + v**2 - 77*v - 354*v.\nAnswer: v**2 - 708*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o**2 + 2*o - 11 + 15 - o. Determine r(3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -457, -1100, -1913, -2878, -3977, -5192, -6505?\n\"Answer: 3*m**3 - 103*m**2 - 355*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 132204 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t - 16. Let k be c(8). Let i(h) be the second derivative of -3*h + 1\/40*h**5 + k + 1\/4*h**2 - 1\/24*h**4 - 1\/12*h**3. Solve i(z) = 0 for z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 53. Let j = 128 + -50. What is the remainder when j is divided by ((-69)\/q)\/((-1)\/(-18))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.013 + -28.013. Let w = -28.011 - n. Round w to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -d*s + 2*d*x**3 - 73*d*x**2 + d + 5*s*x**3 + 4*s*x wrt s.\nAnswer: -d + 5*x**3 + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 286656 and 534?\nAnswer: 25512384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003588654 rounded to five dps?\nAnswer: 0.00359","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3\/7, 0.2, 2, -38\/3, -11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*a + 3*a**2 + 463*a - 2*a**2 + 1284*a + 128*a.\nAnswer: a**2 + 1969*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5*((sqrt(605) + 0 - sqrt(605))*-2 + sqrt(605)))**2.\nAnswer: 90750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4377 + -3693. Calculate the least common multiple of 12 and h.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 352 - 351.97078. Round v to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -406*g = -449*g - 453048000. Round g to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**3\/11 + 376*j**2\/11 - 4970*j\/11 + 17052\/11 = 0. What is j?\nAnswer: 7, 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 2*a + 33014, -3*n + 115*a = 113*a - 99026. List the prime factors of n.\nAnswer: 2, 3, 5501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 13*r - 14. Let q be b(6). Let h be ((-17)\/3)\/((-1)\/(-3)). Let z = h + q. What is the remainder when 42 is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3695*x**2 + 2*x + 129339 wrt x?\nAnswer: -7390*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*a**4 - a**2 + a**4 + 0*a**2 + 2*a**4 wrt a?\nAnswer: 144*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -6*j + 6*j + j**2 + 0*j**2 + 7*j + 2. Let o be a(-7). Suppose 7*r - 105 = o*r. Solve 0*p + 4 = 3*p - 2*s, 5*s = 2*p - r for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 37795598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5 = u, -u - 3*u = 3*g + 7. Suppose 560 = g*t - 658. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*14\/714*17\/6?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.191 and 0.4.\nAnswer: -0.0764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - 5*d + 45. Let u(n) = -n**2 + 8*n - 5. What is u(d)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -25, -27, -29, -31, -33, -35?\n\"Answer: -2*m - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -35 and 46.6.\nAnswer: -1631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 78.5, -0.1, -0.3, -0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.919416 millilitres to litres.\nAnswer: 0.005919416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+-99420511\nAnswer: -99420510.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7324863 + 7324863 + 2*p**2 - p.\nAnswer: 2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6.452397 * -1.6\nAnswer: 10.3238352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -277816621 and 7382?\nAnswer: 277824003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -300 - -141214?\nAnswer: 140414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d**3 + 3*d**2 + 4*d - 2. Let j(k) = 5*k**3 - 4*k**2 - 5*k + 2. Let i(u) = 4*b(u) + 3*j(u). Calculate the remainder when i(-3) is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 1\/6, -0.761, -0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*x - 4*x + 24 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 55384 = j. Let y = 166283\/12 - j. Find the common denominator of (-6)\/45 - (2 + (-106)\/20) and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2. Let t(s) = 4*s + 39266. Calculate t(o(u)).\nAnswer: 8*u**2 + 39266","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -303187040 to the nearest 1000000.\nAnswer: -303000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 163\/644 - 1\/322. Factor 1\/8*c**2 - n + 1\/8*c.\nAnswer: (c - 1)*(c + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -985 - -2215. What is the greatest common factor of z and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165835834747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/245 and 76\/315.\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-five eighths of a millennium?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 4 + 7)*((0*x**3 - 2*x**3 + 0*x**3)*(x - 2*x + 3*x) + 3*x**4 - 3*x**4 - x**4) to the form f*x**2 + m*x**4 + r + q*x**3 + a*x and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 38 + 15 = 5*q, 0 = 3*q + 4*b - 43. Suppose -9*g = q*g - 72. Suppose -2389 = -g*s + 1215. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**3 + 2*j**2 - 6*j - 1. Suppose -1 = 2*g - 5*x - 38, 0 = -5*g + x + 35. Let y(l) = -4*l**3 - 4*l**2 + 13*l + 2. Give g*y(d) + 13*p(d).\nAnswer: 2*d**3 + 2*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 2526.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**3 + 2*j**3 - 7*j**3 + 4.\nAnswer: -5*j**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1203542741?\nAnswer: 41, 107, 251, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -29 or -57\/2?\nAnswer: -57\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -8 - -2 - (230 + -229)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 182*b + 14570. Determine v(-80).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 10*a - 8. Let v be z(6). Let q = 8 - v. Let u = 11 + q. Solve -5*l - d + 20 = 5, 0 = -l - 3*d + u for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 643 - 1279 + 178*w - 13*w + 640 to x + g*w and give g.\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -0*v + 4. Let d(r) = r - 1. Let l be d(5). Let z be l*1\/2 - -1. Solve 0 = -4*w - 5*o + 15, -o = -v*w + 8 + z for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 806222455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f. Suppose -2*y - 49 = 3*b, -5*b = 2*y - y + 77. Let g be ((-12)\/10)\/3*b. Let k be (-4)\/g*(1 - 4). Calculate p(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -50*k. Let i(n) = -3*n + 26. Give p(i(w)).\nAnswer: 150*w - 1300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5*(sqrt(5) + 0))**2.\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18419 - 10977. Suppose -4*m + f = 5*r, -r = -3*m + r + 5570. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 less than 43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 1:10 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m**2*q**3 + m**2*q**2 + 2*m*q**3 + 65*m - 31*q**6 wrt q?\nAnswer: -6*m**2 + 12*m - 3720*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0114874905 to 5 decimal places.\nAnswer: -0.01149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 6 + -10 + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/2 + 7\/2. Suppose -3*g - l = -4*g. Put -3, -1, g in descending order.\nAnswer: g, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -1. Let f = 298.6 + -298.2. What is the nearest to 2\/7 in x, 0.3, f?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90) - sqrt(90)*1)\/sqrt(5))\/sqrt(9) + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 444\/(-1036) + (-940)\/126 - -7?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.231412 rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 5*s = -9*u + 8, 4*s - 76 = 5*u. Let a be ((-138)\/156)\/(u\/16 + 1). Which is greater: -4 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -2*o + 591 - 624, -5*l = -5*o - 65 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.328685 take away -18.2337?\nAnswer: 18.562385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 20 - -6631862?\nAnswer: 6631882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-283)\/283)\/(3\/15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 5740074.\nAnswer: 22960296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20612501.\nAnswer: 7, 13, 226511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 6*c - 158, 4*c - 63*p + 67*p - 68 = 0. Solve -j - 2*k - 21 = -c, 3*k + 8 = 2*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) 1\/7 (c) 2.3 (d) 1 (e) 0.1241\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*f**2 + 0*f**2 - 2*f**2)*(3 - 3 + 2*f) + (-5*f + 4*f - 5*f)*(-f**2 + f**2 + f**2) in the form l + c*f**2 + j*f + g*f**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 - 29 = -4*s. Let t be 8*(-4)\/(-8)*s. Let o be t\/6 + (-80)\/(-15). Let i(k) = k. Let r(h) = 5*h. Calculate o*i(a) - r(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/6 and 10 - 4 - 0 - (-27410)\/(-4500).\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/39*(-6)\/(-27)*-3.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 l when two letters picked without replacement from {l: 13, n: 5}?\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*z - 6. Put z, 0, -15 in decreasing order.\nAnswer: z, 0, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*y + 69*y**4 - 7*y + 75*y**4 + 2*y**3 - 35*y**4 + 1 in the form d*y**4 + u + k*y**3 + a*y**2 + c*y and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 + -16. List the prime factors of (-3)\/i - 87\/(-2).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 + (161\/4)\/(-7). Let k = 1\/2 + v. Suppose 3\/4*s**3 + k*s**4 + 3\/2 - 3\/4*s - 9\/4*s**2 = 0. Calculate s.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*b = 48*b - 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**4\/3 + 368*g**3\/3 - 2212*g**2 - 7704*g = 0. What is g?\nAnswer: -107, -3, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -10. Which is the closest to 0? (a) 0 (b) -3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9617\/(-5) + 18\/45. Is -1923 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.26, -5, 2, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from chggwbohwgobgggwow. What is prob of sequence ww?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 22*k**2 + 45*k - 102. Calculate the remainder when c(23) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 252158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4206 times 1.2\nAnswer: 5047.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6\/(-33) + 1\/((-22)\/(-1632)) and 8.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -x**8\/168 - 4*x**7\/105 - x**6\/20 + x**2 - 8*x. Determine r so that u(r) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - -41677480200.\nAnswer: 41677480191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4791 is divided by 398?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iili when four letters picked without replacement from {l: 3, i: 8}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*t = 7, t = -5*c - t + 55. Suppose -3*l = 4*s - 33, -3*l = 7 + 8. Solve -c*w - 6 = -s*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -12\/5 - 2\/5*a**2 - 2*a = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 4*h**2 - 187*h + 3906. Calculate v(28).\nAnswer: 1806","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (0 + -5*5*(sqrt(272) - 2*sqrt(272)*-2 - sqrt(272))*-2)*5)**2.\nAnswer: 8000*sqrt(17) + 272000001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 6*c - 5. Let a = 5 + -9. Let x be d(a). Let y = 168 + x. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -24642*k**5 + 14217546*k**4 + 203217460*k**3 + 706353560*k**2 + 25256592*k + 226944 = 0?\nAnswer: -8, -6, -2\/111, 591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.329 + 2.0342. Let x = n - -1.3. Round x to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*i + 415 = -85 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -21*z - 145. Let o be y(-7). Suppose 4*f = -5*q + 15, 0 = 3*f + q + q - 13. Suppose -5*k + 6 = 4*w, -o*w - f = -k - 1. Does 2 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -24*n - 90. Let b be w(-4). Let c(l) = -21*l + 135. Let v be c(b). Solve -3*p = 6 + v for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 2*q + 3*g - 1, 5*q = -3*g - 19 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of 3\/20*t**5 - 6*t + 0*t**4 + 0*t**2 + 0 + 0*t**3 + 1\/14*t**7 + 1\/5*t**6. Determine q so that g(q) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 1 + 204 + 0\/(-41). Let u = 207 - z. What is y in 1\/6*y - 1\/3 + 1\/6*y**u = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 78 + -78.00073. What is r rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 4*c**2 - 3*c + 3. Let t be p(-3). Suppose 10 = t*u - 23. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 2*k + 9, 0 = -2*g + 4*k - 0 + 14 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*o**2 - 78 + 152 - 73 to the form h + v*o**2 + g*o and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.31449 to three decimal places.\nAnswer: -2.314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53179405*q - 53179353*q + 6448 = 0 for q.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 496 = 25*p - 10*p + 47*p. Solve -5*v - 2*d - 21 = 0, -12*d + p*d = 3*v + 21 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4528894?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 0 - (-3 - -3) - (188 - 194).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 521383 and 295.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 6:49 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 8*v**2 + 12*v + 1. Let i be p(-6). Does i = 2\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4258, -16806, -37654, -66802, -104250, -149998, -204046?\n\"Answer: -4150*h**2 - 98*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 19, 305, 4, 52 in decreasing order.\nAnswer: 305, 52, 19, 4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b + b - 7*b)*(-3*b**2 - b**2 + 2*b**2) - 28*b**3 - 22*b**3 + 46*b**3 - 11*b to the form k*b**3 + w*b + r + s*b**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {c: 3, w: 5}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 58, -16, -3, -6, -2\/7, -0.3?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5980 * -5\nAnswer: 29900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 450761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4698 (base 11) to base 4.\nAnswer: -1200031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10334 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3513, 14098, 31805, 56688, 88801?\n\"Answer: 9*l**3 + 3507*l**2 + l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 105 = -5*g - 0*g, -180 = -3*v + 3*g. Suppose -4*h - 25 = -v. Let b(x) = x**2 - 8*x - 9. Is b(h) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -321134\/353 less than -909?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -2924\nAnswer: 7\/2924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -0.8 (c) -0.1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 20 = -2*d. Suppose -2*v + 492 = 5*o - 208, -3*o + d*v = -420. Let m = o - -73. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-96)\/(-272)*1\/(2\/2)*2\/(-8).\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2848924353.\nAnswer: 3, 11, 19, 67, 73, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h + 10. Let b be f(-7). Suppose 0 = 5*q + b*n - 330, -2*q = -4*n - 23 - 83. Is q a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -4520103?\nAnswer: 4520100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 18686976 divided by -35392?\nAnswer: -528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -40577.43 minus -678.4?\nAnswer: -39899.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 99 and 1485.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 8*n**2 + 29*n - 92. Determine x(8).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 50241 (base 7) to base 13\nAnswer: 56a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 + 53. Solve 0 = 2*n - 5*d + 28 - 8, 33 = -u*n + 4*d for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3274*1)\/(-5 + 39\/9). Let x = 491 - f. Round x to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 4*f**3 - 70*f**2 + 36*f - 38. Give s(17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 8:40 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 11*p**2 - 8*p - 17. Let z be s(10). Let y be 32\/(-24) - (-154)\/z. Suppose y = 2*u - 48. Calculate the remainder when u is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543921317 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -27, -54, -101, -174, -279?\nAnswer: -422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 - -72. Suppose 3*n - 3*w = 9, 3*n - 4*w + 8 = 4*n. Suppose -19 = -n*k + j. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b + 226*b**2 - 4*b.\nAnswer: 226*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**4\/2 - 3235*j**3\/2 - 40727*j**2 - 74980*j = 0. What is j?\nAnswer: -23, -2, 0, 3260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22.285 - 0.635. Let z = -23 - g. Is -1 at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**5)**(-3\/44)\/(m**(2\/3))**35 assuming m is positive.\nAnswer: m**(-3125\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/48223 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*h - 242*h + 4603 = -1266 + 237 for h.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7*(-22)\/77)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99594 is divided by 14220.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**4 + 3*y**4 - y**4)*(5 - 5 + 1)*(2 + 2 - 2 + 3 - 3 - 2 + (4 + 0 - 2)*(2 + 4 - 4) - 4 - 3 + 6 + 5 - 4 - 3 + 3 - 4 - 1 + 3 + 1 - 2).\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/24*(9 + 1). What is the third smallest value in -0.4, r, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + f - 53 = -48, -3*f - 6 = u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 20 + 3*g)*(-3*g**4 - 2 + 2).\nAnswer: -9*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8891794, -17783588, -26675382, -35567176?\nAnswer: -44458970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2 + sqrt(2) + (sqrt(6)\/sqrt(3) + 4)**2 - (((sqrt(8) + sqrt(32))\/sqrt(4) - sqrt(2)) + 0)*5)*-1.\nAnswer: -21 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/1016266 and -83\/3562.\nAnswer: 13211458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 95 and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1889289614.\nAnswer: 2, 944644807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -74*f + 64*f - 6*f**3 + 4*f**3 wrt f?\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - -1) + 50\/(-175). Sort 3, -2\/9, m.\nAnswer: m, -2\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 602.2 - 601. What is the nearest to -0.1 in r, -2\/11, -3, 0.5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/((-15)\/(-5) - 9). Suppose 0 = -3*w - 2*g + 45, -w + 5*w = g + 49. Which is the biggest value? (a) 0 (b) w (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1116, 4, 0.5, -1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b**3 - 5*b**2 - 10*b - 5. Let i(x) = 4*x**3 - 7*x**2 - 15*x - 7. Give 5*i(h) - 7*k(h).\nAnswer: -h**3 - 5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 4*q + 6, -2*t + 0*q - 5*q = 1. Suppose 0 = -3*g + t*v + 138, -3*g - v + 129 = -0*v. Let c = -7 + g. Does 25 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -18*n + 125. Let v be r(7). Let c(g) = -1043*g**3 + 2*g**2 + 5*g + 3. Is c(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 + 5*p - 3. Give o(3).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-418)\/76*21*-2. What is the highest common factor of n and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -3*l**8\/14 - l**4\/12 + 5*l**3\/3 - 4*l**2 - l. What is the second derivative of i(s) wrt s?\nAnswer: -1440*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a second in milliseconds?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (24 - (28 - 1) - (-3 + -13)) + 24\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1656 and 6739.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 3*h**2 - 16*h + 3*h**2 + 6*h + 10. Let s be u(12). Let f = s - 0. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1+-3517228.36\nAnswer: -3517229.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1759770?\nAnswer: 2, 3, 5, 19553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + -11. Calculate the lowest common multiple of a and 2\/(-6) - (-4)\/3.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00018602 to 6 dps.\nAnswer: -0.000186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (1 + (-3 - (3 - 2))) - -2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 325\/2672?\nAnswer: 325\/2672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 0. Let f be -1 + z - (2 + -10002). Suppose 0 = 2*r - r - f. What is r rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/8)\/(3\/396). Suppose 10*n = 8*n + c. Let f(g) = g**2 - 3*g + 2. What is the remainder when n is divided by f(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26738 - 26523 - k + 7*k.\nAnswer: 6*k + 215","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2\/125 of a litre?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tsttfttsbtssttttsft. Give prob of picking 2 f.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 129778*j**2. Let k(c) = 3*c. What is k(d(b))?\nAnswer: 389334*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -4*a**2 - 5555*a - 148571. Determine j(-27).\nAnswer: -1502","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*f**2*k**5 + 15*f**2*k**2 + f*k**2 + 23*f*k + 76*k**6 wrt k.\nAnswer: 960*f**2*k**2 + 9120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20355 is divided by 33?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -11*(-8)\/924*-14*(-2)\/20\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**3 - 7*p**2 + 6*p**2 + p**2.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1791.7?\nAnswer: 1793.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204*b = 658*b - 15534972. List the prime factors of b.\nAnswer: 2, 3, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42*p**4*v**3 + 30*p**4*v**2 + 3*p**2 + 215*v**3 wrt p.\nAnswer: -1008*p*v**3 + 720*p*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 2*c + 0)*((5 - 5 - 3*c**2)*(c + 3 - 3) + 2*c**3 + 0*c**3 + 0*c**3 - 2*c**3 - 2*c**3 + 3*c**3).\nAnswer: -4*c**4 + 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3029710145.\nAnswer: 5, 7, 11, 179, 43963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a century in years?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + (-1*((sqrt(180) + sqrt(45))*4)\/sqrt(9) + -1)**2)*3.\nAnswer: -6462 - 216*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dfdf when four letters picked without replacement from {h: 2, d: 4, v: 2, f: 4}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 5*y + 135 = 0, -13*m + m - 7*y = -8*m - 192 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45771 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 294064301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 20*c - 93. Let g be a(8). Suppose g*n = 5*i + 4*n - 1465, -3*n = -i + 293. Is 21 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -6*l**3 + 11*l**2 - l - 11. Let q(v) = v**3 - 1. Let m(u) = -k(u) - 5*q(u). What is the tens digit of m(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*k**3 + 3\/4 + 5*k + 41\/4*k**2.\nAnswer: (k + 1)*(3*k + 1)*(8*k + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 74287, 74268, 74229, 74164, 74067, 73932, 73753, 73524?\n\"Answer: -o**3 - 4*o**2 + 74292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/6 - 11737*c\/6 + 1956.\nAnswer: (c - 11736)*(c - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14006?\nAnswer: 2, 47, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 2404.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1796 and 852?\nAnswer: 382548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 192 and 1472?\nAnswer: 4416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -590, -1102, -1628, -2174, -2746, -3350?\nAnswer: -3992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*q - 1. Let d = 7 - q. Suppose 12 = g + d*t - 1, -2*g + 27 = 5*t. Is 4 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -161328 divided by 31.\nAnswer: -161328\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*u**6 - 3*u**5 - 15*u**2 + 7*u.\nAnswer: -1800*u**3 - 180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -809, -845, -899, -971, -1061, -1169?\nAnswer: -1295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - z + 6*z = 8, 5*u + 3*z - 40 = 0. Let l(d) = -19*d**2 + 3*d + 15. Let a be l(u). Let n = -758 - a. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + 6*(sqrt(77)*-5 - sqrt(77) - sqrt(77)) - sqrt(77)) + sqrt(77))\/(sqrt(42)\/sqrt(96)).\nAnswer: -164*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6744, 6740, 6734, 6726, 6716, 6704, 6690?\nAnswer: 6674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - q**2 + q. Let c(t) = 3*t**2 - 2*t - 2. Let g(r) = -3*r**2 - 26*r - 38. Let b be g(-7). What is b*n(a) - c(a)?\nAnswer: 3*a**3 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 693 is divided by 226.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 41 = -2*u, d - 3*u - 166 + 150 = 0 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6185 divided by 5.\nAnswer: 1237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3.7, -0.4, 0?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(6\/7)\/m)**(-42) assuming m is positive.\nAnswer: m**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -5 + 47. Let m be (-4)\/14 + (-69)\/o. Let q(n) = 6*n**3 - n**2 + 5*n - 3. Let b be q(m). Calculate the greatest common divisor of b and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five quarters of a hour?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/6 + 6\/4. Is -1\/10 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + o - 1. Let a(p) = 2*p**2 + p - 2. Calculate -a(d) + r(d).\nAnswer: -d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -662*z**2. Let n(f) = 31*f. Determine m(n(x)).\nAnswer: -636182*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3, -19, -75, -195, -403, -723, -1179, -1795?\n\"Answer: -4*g**3 + 4*g**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2, -1, -8, -19, -34, -53?\n\"Answer: -2*d**2 + 3*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -22470\/49561?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 88?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 774.0447 - 774. Round d to 3 decimal places.\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 455, 454, 453?\nAnswer: 452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9078602 - 96?\nAnswer: -9078698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (92\/12*-3)\/(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 5*a**3 - 3*a**2 + 13*a - 11. What is h(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d + 22 + 63 = 0. Solve -d*b - 4 = 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(300)*-6 + (3 + sqrt(12) + sqrt(3) + sqrt(3))**2).\nAnswer: -285 + 180*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 12*q - 7*q**3 - 4504770*q**2 + 4504770*q**2)*(5*q - 15*q - 10*q).\nAnswer: 140*q**4 - 240*q**2 + 40*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + -6*(1 + 1 + -1 + sqrt(72))).\nAnswer: 24 + 108*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(135) - (sqrt(15) + (sqrt(960) - sqrt(960)*-4 - sqrt(15))))\/(3*sqrt(405) - ((sqrt(210)\/sqrt(6))\/sqrt(7) + sqrt(5))))**2.\nAnswer: 1452\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/2478484 and 58\/5576589?\nAnswer: 22306356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 - 0. What is the lowest common multiple of r and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 799150388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-9)\/(-3))\/(9\/(-12)). Does 32 divide 30\/((-39)\/132*b - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8066.\nAnswer: 2, 37, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*v - 2*w + 10, -65 = -5*v + 5*w. Let h be 2\/6 + (-3)\/v. Suppose h = -b - 3 + 5. Solve -3*d + 5*c = -1, b*d + c - 9 = -2*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 999*j + 671. Is h(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 4*a - 4*j + 33, 3*j + 27 = -5*a. Let t be 1*(1 + 0)*-11. Is a at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, a: 2}. What is prob of sequence an?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22ba55 (base 14) to base 6.\nAnswer: -41220415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*k + 39*k + 61 - 60)*(3*k**3 + 3*k**3 - 5*k**3).\nAnswer: 64*k**4 + k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 7*o + 20 = 2*o, -5*o + 25 = -5*m. Let d be 2*1*((-3958)\/4 + m). Let u = 3169 + d. Round u to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k = -4*b + 5*k + 36, 2*k = -b + 14. Solve 0 = 3*d - b - 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 - 18. Suppose 3*a + 9745 = j*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00026256393 rounded to six decimal places?\nAnswer: 0.000263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 9) to base 10\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, -12, 1\/8, 1\/5, -1857.5?\nAnswer: -1857.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gyyyygggygygggyg. What is prob of sequence gggy?\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by -18*6\/(-24)*(-240)\/(-27).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 12:30 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 22, 37, 36, 13, -38?\n\"Answer: -h**3 - 2*h**2 + 28*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -134644.8 to the nearest one thousand.\nAnswer: -135000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -58374, -58373, -58364, -58341, -58298, -58229, -58128?\n\"Answer: i**3 - 2*i**2 - 58373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -59*i - 1. Let y(p) = -15*p**2. Give f(y(q)).\nAnswer: 885*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x + 1. Let g(f) = -8*f**2 - f. Let s be g(1). Let y = s + 15. Let q(n) = n**2 - 4*n - 8. Let v be q(y). What is c(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1213 a factor of 2338317082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 72\/27*18\/4. Suppose 0*w + w = y. Is w a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(152) + ((sqrt(152) + (sqrt(152) - 2*sqrt(152)) - sqrt(152))*2 - sqrt(152)) + sqrt(152))\/sqrt(8).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v**5 - 10*v**4 + 290*v**3 - 260*v**2 - 285*v + 270 = 0. Calculate v.\nAnswer: -9, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of z**3\/3 + z**2\/2 - 6*z + 18. What is the units digit of k(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/12)\/(2\/6). Does 22 divide (-1169)\/(-21) + x\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c**2 + 2. Let b(a) be the second derivative of a**3\/3 + 13*a. Calculate b(t(u)).\nAnswer: -6*u**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64085 is divided by 305?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-1*sqrt(11)*5.\nAnswer: 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5821354 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: Rearrange ((4*f + 3*f - 5*f)*(-f - f + 4*f) + 1 - 1 - 3*f**2)*(3 - 3*f**2 - 3) to z*f**3 + s*f + v*f**2 + k + o*f**4 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*4*(-1 + (-2 + sqrt(2))**2 + -4 + 2).\nAnswer: -24 + 32*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -14.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -7 + 7 + -3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -6 + c**2 - 8*c + 3 + c. Let t(y) = -2*y**2 + 8*y + 3. Let q(b) = -2*t(b) - 3*x(b). Let h be q(-5). Let a(s) = -s + 5. Calculate a(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -11*l + 65 - 65 - 56*l. Let i(j) = -53*j**2. What is i(r(a))?\nAnswer: -237917*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*b = 202907 + 128029. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -l**3\/3 + 21*l**2 + 2*l + 2. Let p(u) = 4*u - 83. Let q(a) = -2*p(a) - 5*v(a). Differentiate q(x) with respect to x.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 753 is divided by 48?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2197 to 2 decimal places.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.106298962 rounded to four dps?\nAnswer: 0.1063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -5. Suppose -5*z + 3*t + 29 = v, 3*t - 45 = -5*z - 2*t. Suppose z*g = 5*g + 72. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 3*l**3\/7 + 30*l**2\/7 + 69*l\/7 + 6 = 0.\nAnswer: -7, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 638*n + 99. Let b(a) = -13*a - 2. Calculate -99*b(w) - 2*l(w).\nAnswer: 11*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 161 and 851.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35137930 is divided by 161?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 15 = 9*f. Let v = -4 + 3. Let p = v + 0.9. What is the closest to p in f, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3805.2 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*(-1 + 3 + -1*sqrt(112) + (sqrt(112) + ((sqrt(112) - -1*sqrt(112)) + sqrt(112) + sqrt(112) + sqrt(112) - sqrt(112) - sqrt(112)))*6)*-6)**2.\nAnswer: 211968*sqrt(7) + 34129152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4870)\/(-20) - (-10)\/4*5\/(-25). Solve -9*i + b = 198 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19 - a8030?\nAnswer: -a8012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1653*k**2 - 1652*k**2 + 8275*k**2 - 1654*k**2 - 1654*k**2 - 1643*k**2.\nAnswer: 19*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 784.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 4) to base 3\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2 + 7 = 4*y, -5*y = 3*t - 6. Suppose m = i - 99, 493 = -i + 6*i - y*m. Let z = 12 + i. Calculate the remainder when z is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27691.37 - 27790. Round q to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 512 is divided by 105?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**2)**(-5\/16) assuming d is positive.\nAnswer: d**(-5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 980332?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 7 = -4*s, 3*l + 5*s - 40 = -2*l. Find the second derivative of -4*c + 6*c**2 - 5*c**2 + 8*c**4 + l*c + 2*c**2 + 3 wrt c.\nAnswer: 96*c**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*k**3 - 243*k**2 - 702*k\/7 - 27\/7 = 0. Calculate k.\nAnswer: -3, -3\/7, -3\/70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 4 = -5*q, 0 = 2*n - 4*n - 3*q for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/281 or -0.0397?\nAnswer: 3\/281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*z + 1902 + 2425 = 1061 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 7*n + 283011. Let x(d) = -11*d. Calculate x(l(c)).\nAnswer: -77*c - 3113121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27089 - 1876 = 803*z - 2734*z for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*g - 4*g + 4 - 43*g - 3.\nAnswer: -88*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 179943 a multiple of 208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + y - 2*y)*(14*y - 7 + 22 - 12*y).\nAnswer: 2*y**2 + 15*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(-12)\/18*-3. Suppose -4*v - 14 - 2 = -4*o, 3*o - g*v = 15. Solve 3*h + 3*b = b + o, -2*h + 5*b - 27 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -632 - -654. Suppose -50 = u*f - 204. Calculate the greatest common divisor of 175 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nqi when three letters picked without replacement from naqnaijqqnnqjjjjj.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 180\/(-24))*1846 - (-10)\/(-2) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - (-2 - (-1 + 1)). Suppose x = -2*m + 9 - 29. Suppose 3*b + 4*z + 43 - 17 = 0, -4*z + 4 = 0. Is m less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.042885 to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 8. Let u = -13.477 + 6.477. Which is the nearest to w? (a) 4 (b) -2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1741?\nAnswer: 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 9*x**2 - 7*x + 21. Is u(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1553 - -1554) + (3 - -9 - -1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 2855\/463?\nAnswer: 2855\/463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 57*c - 56*c + 4*f + 13, 10 = -4*c + 5*f for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -0.1 (c) 4 (d) 1\/7 (e) -2 (f) 19167\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -718 divided by 144.\nAnswer: -359\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4596 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (1 + -2 + 5)) + -7?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**2 - 2*o**2 - 3*o**2 + (-o - 2*o + 2*o)*(-1 + 1 - 2*o) + 9 - 9 + 7*o**2.\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 100 - 10*s + 64 - 67 + 168. Let o be f(26). Solve -o + 8 = -q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 a when four letters picked without replacement from {a: 4, d: 14}?\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of (-20 - -18 - 3) + (-113804)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -172 by 1.\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1650 and 60900.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7666871281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 9 - 1. Let q be 4\/(-12) - 26\/(-6). Let t be (1375\/w)\/(q\/(-5120)). What is t rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10009461 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**4 - 4*t**3\/3 + 152*t**2\/3 - 32*t = 0 for t.\nAnswer: -4, 0, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 65 and 15561?\nAnswer: 77805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.012m in millimeters?\nAnswer: 96012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -74 + 75. Which is the second smallest value? (a) -5 (b) 0 (c) 4 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21*s + 2*s**2 - 2*s**2 - 22*s**4 - s wrt s?\nAnswer: -264*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 2*x + 22 = 0, 346*d - 344*d = -8*x + 24 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/420 and 5\/672.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 22*n**2 - 17*n - 48. Let y be r(21). Suppose y = -10*v + v. Let q be (v\/12)\/(12\/9 + -1). Put 1, q, -4 in decreasing order.\nAnswer: 1, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-5\/6)\/l*l*l**13*(l**(7\/5)\/l)\/l*l*l**(-14)\/l*l assuming l is positive.\nAnswer: l**(-43\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3549 + 3549. Let b(z) be the second derivative of 0*z**4 + 7\/20*z**5 + 0*z**2 + o - 13\/6*z**3 - 25*z. Find the second derivative of b(k) wrt k.\nAnswer: 42*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -k**3\/3 + k**2 - 4*k + 240. What is r(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 110 and 223402234?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*l**2 + 108*l**2 + 10 + 3*l**2 - 9 + 0.\nAnswer: 39*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4663 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6123609643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -209\/86360 - -7\/680. What is the common denominator of p and 43\/61?\nAnswer: 7747","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13114997.\nAnswer: 7, 19, 14087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2320095 to the power of 1\/2, to the nearest integer?\nAnswer: 1523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6230, 0, 939, -4 in descending order.\nAnswer: 939, 0, -4, -6230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 220\/25 + (-4)\/(-20). Suppose m*v - 2567 = -758. List the prime factors of v.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - -1)*-1 - 0. List the prime factors of -1 - 0 - (a + -43).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160*u**2 - 323892 + 647804 - 323912.\nAnswer: -160*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 - -64164?\nAnswer: 64153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -75. What is the common denominator of -43\/3 and s\/(-33) - (-9)\/(-27)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 100481440 to the nearest one hundred thousand.\nAnswer: 100500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 15) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*-3*2\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**4\/3 - 12989*b**3\/3 - 18748899*b**2 - 27079648245*b - 54084335526 = 0. What is b?\nAnswer: -4329, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 2*q**2 - 5*q + 21. Calculate u(4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 450 and 10224?\nAnswer: 255600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 - -39. Let g = t + -13. Let l = g + -6.0000006. What is l rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 5.\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -69422 or -65878?\nAnswer: -65878","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38\/(-1482))\/((-2)\/(-12))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 100210202012?\nAnswer: -100210202010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3008 >= 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2016 and 170364?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2444 and 2652.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-23)\/(-69))\/(1\/5) + (-8)\/(-24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -368, -716, -1078, -1460, -1868, -2308, -2786?\nAnswer: -3308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 391 = -2167. Let i = w + 156. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 332*z = -25952 + 1384 for z.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.844 and -1.0851271497.\nAnswer: -3.9291271497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*w + 8*w + 16. What is the second derivative of -5*q + 11*q + 21*q - 27*q**w - 3*q**4 wrt q?\nAnswer: -360*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8689598+122\nAnswer: 8689720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38 + 41. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31924390*a**2 + 16137709*a**2 - 12756953*a**2.\nAnswer: 35305146*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5827, -4662, -2711, 32, 3573, 7918?\n\"Answer: d**3 + 387*d**2 - 3*d - 6212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**4\/2 + 18*k**3 - 681*k**2\/2 + 873*k - 552 = 0 for k.\nAnswer: -23, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x = -5*x + 255. Let g = -20 - -52. Let o = g - x. Solve 0 = -5*s + o - 7 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4628 - -22140. What is the hundreds digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**4\/5 - 3851*d**3\/5 - 8455*d**2 - 26885*d - 19200 = 0. What is d?\nAnswer: -3840, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nbbnbbbbnbbb. Give prob of picking 2 n.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -66 - ((228 - 225) + (6 - -2 - 0) + -1).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1114682?\nAnswer: -1114682","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4485733, -4485744, -4485755?\n\"Answer: -11*c - 4485722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 65278, 522218, 1762480, 4177726, 8159618, 14099818, 22389988, 33421790?\n\"Answer: 65277*c**3 - c**2 + 4*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1\/4*2)\/(6\/1884)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 y when three letters picked without replacement from {y: 2, z: 2, c: 4, k: 7, m: 3}.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 3*j + 13. Let y be x(-3). Let q(b) = b**3 - 12*b**2 - 11*b - 24. Let l be q(y). Factor -123*f**4 + 0*f**3 + 121*f**4 - l*f**3.\nAnswer: -2*f**3*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 181, 504, 1029, 1762, 2709?\n\"Answer: j**3 + 95*j**2 + 31*j + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/53463 and 67\/78312.\nAnswer: 5560152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-51)\/(-9) - 3\/(-9). Suppose -4*i - p = t + 10, -5*i = 20. Suppose t*o = 2*o - 26. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*i - 14. Suppose 0 = -g + 2*r + 2*r - 6, i*r + 10 = 0. Let j(l) = -2*l**3 - 28*l**2 - l + 20. What is the tens digit of j(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000107022294 to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11145837?\nAnswer: 3, 19, 195541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 6224453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1377*i*w**3 - 2*i*w**2 + 5*i - 6*w + 30 wrt w.\nAnswer: -8262*i*w - 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4640 divided by -10.\nAnswer: -464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 6:29 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2539, 3, -7\/5, -0.5, 0.05, 5?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -18*v**2 + 5*v - 51. Let n(p) = 54*p**2 - 14*p + 151. Let x(d) = -17*c(d) - 6*n(d). Find the first derivative of x(l) wrt l.\nAnswer: -36*l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i + 1. Let o be b(0). Let d(x) = 40*x**3 + x**2 - 1. Let q be d(o). Solve 5*s + 4*v = s, -5*s - q = -5*v for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7c (base 16) to base 2.\nAnswer: -1111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of m**4\/12 - m**2\/2 - 2. Let t(p) be the second derivative of k(p). Let z(b) = b. Determine t(z(o)).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 175 = -5*l, -2*l + 304 - 290 = 0. Let v(t) = t**2 + 33*t + 96. Determine v(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 1)*(3*a - 2*a - 3*a + (-3*a - 2*a + 3*a)*(-1 + 2 + 0) + 53*a - 20*a + 60*a + 4*a - a - a).\nAnswer: 91*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 11:16 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32*q**6*v**2 + 12740*q**3*v + 2*q**2*v + 719*q*v**2 + 8859 wrt q?\nAnswer: 3840*q**3*v**2 + 76440*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 284685882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) 3 (c) -91.5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4677206 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3 = -0*i, -3*i - 7 = -w. Let o be 3 - (66\/9)\/2. Is o bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 * -6094.42\nAnswer: 42660.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -689*w**2 + 2164 + 685*w**2 - 2164.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 11:01 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 12:02 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.63, -5, 5, 70, 17.3 in decreasing order.\nAnswer: 70, 17.3, 5, 2, 0.63, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 4*i**2 - 7*i + 7. Suppose 4*t + 4*c = c + 35, 4*t + c - 25 = 0. Let v be d(t). List the prime factors of (-3)\/(v\/11) - 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(-42))\/((-2)\/(-21)). Which is the second smallest value? (a) 0.1 (b) 0.2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8303, 16606, 24897, 33170, 41419, 49638, 57821?\nAnswer: 65962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -1.776, 5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 10*l = 6. Calculate the remainder when 279\/l + 12\/(-8) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/45, 7, 1\/5, -5 in decreasing order.\nAnswer: 7, 1\/5, 2\/45, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2*m - m**3 + 2*m**4 + 3 + 3*m**3 + 0 in the form g*m**4 + x*m + r*m**2 + q + d*m**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 2, -7, -5, 79, 4 in ascending order.\nAnswer: -16, -7, -5, 2, 4, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(192) + -1)**2*5 - (3*(sqrt(192) + 1))**2) + 4 + 4.\nAnswer: -765 - 224*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11\/7? (a) -5 (b) -2\/11 (c) -4\/9 (d) -0.0577\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/(-525)*(756\/160)\/(-9).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/3)\/(-6 + (-6136)\/(-1027)). What is the highest common factor of f and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 460494\/(6 + 0))*16. Round y to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 64.867 + 0.133. Let m = -65 + z. What is the closest to 3\/2 in m, 2\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*d - 56*d = -c + 6, d - 3*c - 2 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.12485809824 to 3 dps.\nAnswer: -0.125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2954 + 8832 - 2946 - 2972 + 5*w. Calculate n(16).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-1))\/(1092\/91)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02726 rounded to three dps?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1019 + 5.\nAnswer: 1024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 6*n**2. Let s(k) = 6*k - 6*k - 2*k**2. Calculate y(s(x)).\nAnswer: 24*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 5 + 11. Suppose 2*b - 4*s + 308 = 7*b, m*b - 2*s - 198 = 0. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -1153*g + 33434. What is x(29)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 110 - -155. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*l**3 + 13*l**3 - 6*l**3 + 56*l as y*l**2 + t*l**3 + m*l + i and give m.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/324969 and 32\/1341.\nAnswer: 974907","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k + 2*k - 3*k + k + k - k + 42*k - 6*k - 11*k + (0 + k + 0)*(0 - 1 + 3) - 3*k + 3*k + 2*k to s*k + w and give s.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 617*c + 7*f = 612*c - 19 - 202, -3*c - 149 = -4*f for c.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 806937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 2 + 5 + -1. Suppose 591*n - 551*n + 80 = 0. Put -3, n, w in decreasing order.\nAnswer: w, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 9}. What is prob of sequence nn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -1. Suppose 0 = -6*f + 171 + 3. Let n = f + a. What is the remainder when 56 is divided by n?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 divided by -2906842\nAnswer: 11\/1453421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.4 - -10. What is the second smallest value in 1, p, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 25*h**2 + 62*h - 54. Is y(29) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3570 + 1781 + 1790 - 7*s + 30*s to the form w + g*s and give g.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21472645 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of 0 + 0*x**4 - 113*x**2 + 0*x - 2\/15*x**5 + 0*x**3. Let k(o) = 6*o**2. Determine i(k(u)).\nAnswer: -288*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 231\/(-198)*(-172)\/14 - 14.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, y: 11}. What is prob of sequence ggg?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1051 less than 1.0641?\nAnswer: -1049.9359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w + 3*w + w + (3*w + 3*w - 4*w)*(-2 - 3 + 6) + (w - 5*w + 2*w)*(-13 - 12 + 9).\nAnswer: 36*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 10, -c - 4*g = c - 10. Let r(p) = -c + 8 - p - 5*p. Let o(a) = -17*a - 3. Calculate -4*o(s) + 11*r(s).\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*n*r**2 - 52542199*n*r + 1855885*r**2 wrt r.\nAnswer: 8*n + 3711770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*s + 6 = 0. Let w(k) = -6*k**3 + 45*k**2 - 20*k - 5. Let q be w(7). Let b(d) = 7*d - 5*d**2 - d**q - 2*d**2 + 7*d**s - 8. What is b(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, j: 1, q: 1}. What is prob of picking 1 j and 1 q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 32 + 653 = -5*k, c = 5*k + 190. Let x = 272 - c. What are the prime factors of x?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - h - h**2)*(-2 + 1 - 1 + (-2 + 1 + 3)*(3 - 3 - 2) - 1 + 1 - 2 + 2 + 3 - 7 + 1 - 1 + 1 + 0 - 2 + 3)*(2*h + 0 + 0).\nAnswer: 16*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 - 6. Let z = d - -11. Let w = z + 31. What is the smallest value in w, -2, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 + -5005?\nAnswer: -5020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2229*x - 1013*x - 524*x)*(13 - 31 + 5)*(1 + 1 + 0)*(x + 0*x - 3*x) in the form b + v*x**2 + g*x and give v.\nAnswer: 35984","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 3*k - 2. Solve 0 = -3*u - 6, k = -2*x - 4*u - u for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2428748583.\nAnswer: 3, 25999, 31139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 8924.05 to the nearest one hundred.\nAnswer: 8900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-24)*(11648\/(-42))\/(-26)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/22 equal to -23\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*h - 5*b, 3*h - 3 = 2*b - 3*b. Solve -6 = -h*u - 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7901 - 3905 = 1462*i + 20358 for i.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(4 - 0) + -86. Let o = -197 + 292. Let t = q + o. Solve 3*b + 2*a + 0*a - 5 = 0, b - 3*a - t = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 174 + -180.9. Let r = -7 - x. Which is the closest to 0? (a) -1 (b) r (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -21469, -42943, -64431, -85939, -107473, -129039, -150643, -172291?\n\"Answer: -c**3 - c**2 - 21464*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 16104\/(-473) + 408\/8772\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -9, 2\/11, -0.24, 143.67 in ascending order.\nAnswer: -9, -3\/4, -0.24, 2\/11, 143.67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29 - 29) + (8 - 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 6 = -70. What is the smallest common multiple of 10\/(2\/(-5)*(-23 + 24675\/1100)) and 3\/((-15)\/d)*-10?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 11*x - 879. Calculate the remainder when 1057 is divided by u(-30).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, x: 1, j: 1, n: 1, d: 1, w: 2}. Give prob of sequence jb.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a**2 + 5*a - 1. Let p(i) = 7*i**2 - 11*i + 3. Let s(h) = 6*p(h) + 13*x(h). Does 18 divide s(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -529*t**2 + 2 + 528*t**2 - 2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*((-15)\/(-6) - 1). Suppose 0 = m + l*m - 76. Solve m = -3*u + 4 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -14 (c) -23534 (d) 24 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 323935682 divided by -46276526\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.4 - -1.7. Which is the smallest value? (a) -3\/4 (b) -1\/7 (c) 1 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41162180 is divided by 1041.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eighteen fifths of a millimeter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 0*a + 4*a)*(6 - 2 - 2)*(4*a + 2*a + 6*a).\nAnswer: 144*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 647943.7 decades in months?\nAnswer: 77753244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1243538 + 3783538. Round h to the nearest 100000.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5085 and 6215?\nAnswer: 55935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2513b1 (base 12) to base 3\nAnswer: -1010200000221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-116)\/58)\/(((-240)\/84)\/(-10))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -61, -5, 4, 3, -25, 1106.\nAnswer: -61, -25, -5, 1, 3, 4, 1106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2304.73 - -2269. Let f = -36 - j. Let r = -0.269945 - f. What is r rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 2 - 3 - (117 + -136) - 21) + 53.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183 + 78 = a. Let f be ((-56)\/a)\/((-1)\/(-5)). Which is bigger: f or -1\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -25*v**2 - 83*v - 465. Let u(c) = -9*c**2 - 28*c - 156. Let d(y) = 11*u(y) - 4*x(y). Factor d(g).\nAnswer: (g + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(833) + (-2*(-3 + sqrt(833)) - sqrt(833))**2 + sqrt(833) - ((sqrt(833) + 3)*2)**2.\nAnswer: -406*sqrt(17) + 4165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 2. Suppose 0 = 2*k + 5*z - 5, 0*k + 10 = k - p*z. Suppose 0 = -w - 3*s + 6, -w + 2 = k*s - 8. Solve w = m + 2*m - 9 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11101110011001101 (base 2) to base 8.\nAnswer: 356315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1964179006.\nAnswer: 2, 4139, 237277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 7. Let y = -1 - q. Factor 2*u**y + 4*u - 2*u**3 - 2*u + 0*u**3 - 2*u**4.\nAnswer: -2*u*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -4*g**2 + g + 7. Let q(y) = 7*y**2 - 2*y - 14. Determine 5*h(k) + 2*q(k).\nAnswer: -6*k**2 + k + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 2*f - 0*f - 21, 5*f = -5*d + 45. Which is smaller: 7 or f?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y + 22*y = 20. Put y, 71, -2 in ascending order.\nAnswer: -2, y, 71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10518347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f = f - 3*f. Solve -3*z + 6 + 0 = f for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5c (base 14) to base 13\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 11:47 AM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15896 and 7904?\nAnswer: 15705248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/7))**(-28)*(c*c*c**(-3\/5)*c)\/c**(-5) assuming c is positive.\nAnswer: c**(77\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 8408 (base 13) to base 6\nAnswer: 220312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1846 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 -578652 divided by -12?\nAnswer: 48221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.06 - 0.06000238. Round t to 7 decimal places.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3\/14, 0.2 in descending order.\nAnswer: 5, 0.2, -3\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b683 + -1?\nAnswer: -b684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*t**4 + 0 - 1\/2*t - t**3 + 5\/4*t**2.\nAnswer: t*(t - 2)*(t - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10098870*o**2 - 2*o - 342459978?\nAnswer: 20197740*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 7*f**2. Let t(s) be the first derivative of -33*s**3 - 284 - 7*s**3 + s**2 + 13*s**3 - s**2. Calculate t(p(g)).\nAnswer: -3969*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 158748 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**3\/3 + 2321*p**2\/3 + 63226*p\/3 + 399160\/3 = 0.\nAnswer: -17, -10, 2348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189*g + 6*g**2 + 189*g + 4*g**2.\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -33433 + 451?\nAnswer: -32872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -194 - -88. Let p = i + 105.854. Let k = 0.01 + p. What is k rounded to 2 dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14086.2999 - -14085. Let u = x - -1.3. Round u to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -5 + 16 - 3*n + n. List the prime factors of t(-9).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 559 is divided by 81.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8475 and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*((-1)\/2*8 - 16). Let t(m) = -4*m + 80. Let n be t(r). Solve 9 = -w - 4*j, 2*j = w - n*j - 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 6 = 2*i, 3*i = -3*y - 2*y + 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 4) in base 7?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000077926 rounded to 7 dps?\nAnswer: 0.0000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.7, 1\/39.\nAnswer: 1\/39, 0.7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 1 - (707 + -725)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64335291 and 2454?\nAnswer: 1227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-6) + 448\/528. What is the nearest to a in 0, 5, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -19*c + 109. Let x(t) = 73*t - 494. Let q(w) = -9*h(w) - 2*x(w). Let s(a) = 37*a + 11. Determine 8*q(o) - 5*s(o).\nAnswer: 15*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-5)*1*(-140)\/126.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(686))\/sqrt(2).\nAnswer: -35*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (96170\/(-15))\/(4*(-9)\/54) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3098542 is divided by 277?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 21 - 14 = 5*j, -4*j = 4*b - 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 80 = -4*c, -3*c - 107 = -5*f - c. Calculate the remainder when f is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -16. Let t = b + -1. Suppose 14 = 2*y + 2*c, -t*y - 5*c + 12 = -11. Solve y = 5*j - 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 671752888?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from reydtdqq. What is prob of sequence tqdq?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l - 70. What is a(30)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 8*k**2 + 5*k**3 + 8*k**4 - 5*k + 1 - 3 + 6*k**2 - 20*k**4 = 0?\nAnswer: -1, -1\/4, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**2 + 155. Let o(s) be the first derivative of 0*s - 222 + 0*s**2 - 2\/3*s**3. Give d(o(v)).\nAnswer: -8*v**4 + 155","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a + 3 - 3)*(-2*a**3 + a**3 + 0*a**3) - 6150*a**2 - 15*a**4 + 6150*a**2 in the form l*a + d + q*a**4 + x*a**3 + f*a**2 and give q.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.176436ug in kilograms?\nAnswer: 0.000000000176436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -488 + 1623. Is 31 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/7 (b) 0.2 (c) 0.51 (d) 2 (e) -1424\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, i: 1, c: 2, j: 1}. What is prob of picking 1 c and 1 i?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -20*q**2. Let g be i(-1). Let f = -1041 + 1014. Let s = g - f. Calculate the remainder when s is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263*c + 1996 - 165 + 1325 = 0 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 50. What is the common denominator of ((-1)\/4)\/((-10)\/118) and 8\/(-12)*522\/h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 2*o = 5*u + 29, -4*u + 5*o = 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 3*h + 5*r - 39, r = 4*h + 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p. Suppose 0 = -2*i - 2*h + 31 + 59, 225 = 5*i - h. Let v be (2\/(-6))\/((-5)\/i). Let n(u) = 5*u + 2*u - v*u - 3*u. Determine b(n(o)).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 19\/24910?\nAnswer: 19\/24910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4680 - 4542. Let d be 4\/(-10) + (-977)\/(-5). Let p = d - b. Does 14 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*t = 68. What is the derivative of -t - 3*y + 15 - y wrt y?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 + (-6)\/((2 + 0)*1). Suppose -2*r = 4*a + 2*r, k*r = -9. Suppose -5*x - 14 = 2*c + 2*c, -a*x = 3*c + 9. What is the nearest to 2 in -5, c, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18402.469 rounded to the nearest one thousand?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 + 84. Suppose 0 = s + 3*l + k, -l - 550 = -0*s + 5*s. What is the common denominator of -101\/20 and (-1)\/1 + s\/24?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of 37*t**3\/6 - 2*t**2 - 21*t - 77. Let l(q) = -1. What is -5*l(v) + x(v)?\nAnswer: 37*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*n - 29 + 29 + 15*n.\nAnswer: 71*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {j: 4, h: 3, r: 1, a: 4, b: 2}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 373286.3 meters?\nAnswer: 373286300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -11 + 1\/8*s**4 + s**2 + 0*s + s**3. Give k(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 61\/2 of a year?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -10.4. Let t be (2 + 0)\/(4\/10). Which is the nearest to 0? (a) s (b) t (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -6*i**3 - 3*i**2. Is x(-2) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6 + 112*p - 108*p - 1 - 3 - 99*p**3 wrt p?\nAnswer: -594*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**3 - 235*m**2 + 2*m. Let h(x) = x**3 + 4*x**2 + 2*x. What is -h(a) + p(a)?\nAnswer: -3*a**3 - 239*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**3 - t**3 - 2*t**3)*(-2 + 2 + t) + t**4 + 0*t + 0*t.\nAnswer: 2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2446875 and 203.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -124013?\nAnswer: -124014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2843*q = 577*q - 80*q + 248676 for q.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -13*l**3 - 9*l**2 - l + 31. Let r be k(-2). Solve 101 - r = -12*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.235205446 to 2 dps.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5245\/6 - 850. Let j = 61\/14 - 19\/112. What is the common denominator of y and j?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-7) - (-520886)\/246365?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 834*c**5 + 179*c**4 + c**2 - 19247*c + 3 wrt c.\nAnswer: 16680*c**3 + 2148*c**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49004 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/15 + 2\/5*z - 2\/5*z**2 + 2\/15*z**3.\nAnswer: 2*(z - 1)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/5, -67, 0.4, -0.2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 20 = -n - 4*n, -n - 15 = 4*p. Suppose y = n*y - 432. Is y a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -9*o - 3. What is f(28)?\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 0)*(3 + 2 - 4)*(4*y + 8 - 8)*(1 + 2 - 2) + (5*y + 0*y - 3*y)*(1 + 0 + 7).\nAnswer: 20*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**2 + 8*u - 8. Let o(s) = -s + 1. Determine 6*o(l) + t(l).\nAnswer: -2*l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 5*p**4 - 5*p**3 - 240*p**2 - 400*p + 640 = 0.\nAnswer: -4, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ylttolh. Give prob of picking 1 y and 1 l.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 87527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 12*n = -w + 10, -5*w = 25. Which is the nearest to 2\/29? (a) n (b) 0.3 (c) 0.2 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 3 + (-4 - 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -329?\nAnswer: -98.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23? (a) 1 (b) 5 (c) 0 (d) 0.0044 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(13) + sqrt(78)\/(sqrt(18)\/sqrt(3)) + 3 - (1*sqrt(91)*1)\/(sqrt(7) + sqrt(28)\/(sqrt(16)\/sqrt(4))).\nAnswer: 5 + 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*q + 35*q = -4*p - 234907, -2*q + 4*p + 156606 = 0. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*p = 16*p + 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 9*k**3 - 235*k**2 + 11*k + 26. Let s(d) = -5*d**3 + 118*d**2 - 6*d - 14. Give 6*q(r) + 11*s(r).\nAnswer: -r**3 - 112*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -9*q**2 + 13. Let u be j(-6). Let l = -189 - u. Let c = 104 + l. List the prime factors of c.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51868806?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, i: 5, h: 5}. What is prob of sequence hhvi?\nAnswer: 5\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hahahhhhhhhhaahayh. Give prob of picking 1 y and 3 a.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 223895895 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 59089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 31, 0, 0.1 in ascending order.\nAnswer: -2\/11, 0, 0.1, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 20\/(-90)) + 4\/(-18).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2291974 minutes in days?\nAnswer: 0.00154805375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 108\/30 + 3\/(-5). What is the second derivative of -12*s**3 + 59*s**5 + 18*s**r - 6*s**3 + 18*s wrt s?\nAnswer: 1180*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.08 + -0.155. Let c = y + -6.725. What is c rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69604309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*u = 2*u. Solve -3*d - q - 12 = 0, u*q - 4*q = 5*d + 20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*k + k - 2*k as h + z*k and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 12:53 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3259\/3 in 48\/11, -5, 3\/4, -1\/4, -3\/5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 750 and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (190\/2 + -3)*-1. Let f be 4\/10 + i\/(-20). Sort 0, -1, f in ascending order.\nAnswer: -1, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15575 + -15571. Solve -11*q + o*x + 8 = -7*q, -x = -3*q + 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12168 divided by -6?\nAnswer: 2028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + 52. Let f = x + -59. Suppose 0 = 3*r + 4*b - 52, -f*r + 3*b - 14 = -3*r. Does 8 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**10\/50400 + x**9\/8400 + x**8\/5600 + x**4\/6 + 7*x. Let l(n) be the third derivative of q(n). Factor l(y).\nAnswer: 3*y**3*(y + 1)*(y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from phhdpphphpp. What is prob of picking 3 p and 1 d?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3.8551 or 0.1?\nAnswer: 3.8551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49764 is divided by 317?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-2040)\/(-80)*2\/3\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 120 = -21*w. Calculate the least common multiple of 4 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 0)*(h - 3*h - 5*h)*(-2*h + 3*h + 2*h)*(4*h**2 + 3*h**2 - h**2) to b*h + m + y*h**3 + g*h**2 + n*h**4 and give n.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 - -22. Solve v = q - 1 + 3 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 11*n - 64. Suppose -3*z = -3*b + 381, -371 = n*b - 11*b + 5*z. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*l**2 - 9*l**2 + 4*l**2 + 12*l**2 + 8*l**2.\nAnswer: 23*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + (0 - -18)\/((-5)\/(-20)). Let b = f - 77. Sort b, -3, 2, 3 in descending order.\nAnswer: 3, 2, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -16925, -33682, -50433, -67178, -83917?\n\"Answer: 3*o**2 - 16766*o - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 80\/(-105) - (-8 + (-53)\/(-7)). What is the fourth biggest value in -24, 1\/2, r, -2\/9?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 15, -5 in descending order.\nAnswer: 15, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 6965251430 to the nearest 1000000.\nAnswer: 6965000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97896*b = -97895*b - 32 for b.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13005 - 7715?\nAnswer: 4180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*c**3 + 3*c**3 - 14*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88, -256, -828, -1628?\nAnswer: -2656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 5*l**2. Let w be (21\/6)\/7 - 441\/(-6). Let m(t) = 9*t + w - 74 - 3*t. What is m(q(d))?\nAnswer: 30*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*u - 5*b, -u - 22 = b + 3*b. Is 0 - u - 0 - -19 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0612 less than -5616699480?\nAnswer: -5616699480.0612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/4 in -8, -332, -1, 6.9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*i + 176 = 61 + 60 + 55 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 166338798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, p: 18}. Give prob of picking 2 p.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 163201 and 1172?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(1\/3))\/u)\/u**3)**10\/(((u*u**(-1\/2))\/u)**(-7))**(9\/7) assuming u is positive.\nAnswer: u**(-227\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.032066 to three dps.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -54604361299 - 0.4?\nAnswer: -54604361299.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192863 is divided by 177?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2371666 - 17?\nAnswer: 2371647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 m when two letters picked without replacement from {z: 1, f: 2, y: 1, m: 1, j: 1, e: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19*w**2\/2 - 105*w + 1125\/2.\nAnswer: -(w + 15)*(19*w - 75)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-418)\/(-99))\/(-19))\/(4\/108)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 21, 35, 51, 69, 89?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3640 - -14483\/4. What is the common denominator of 2*1\/28 + 1 and x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5434 and 13538?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-21)*v*v**(-8)\/v)\/(v**(2\/35)\/v**(1\/4)) assuming v is positive.\nAnswer: v**(-4033\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -5*m - 15. Let k(q) = q**3 + 4*q**2 + 2*q - 4. Let v be k(-3). Is m less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26130, -52273, -78426, -104595, -130786, -157005, -183258?\nAnswer: -209551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -47, -2, 3514 in decreasing order.\nAnswer: 3514, -2, -22, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 20 = -2*i, -4*i - 125 = -5*o. Suppose -30 = -3*g - o. Let x(t) = t**3 + 2*t**3 - t**2 - 4*t**3 - 4*t + 2*t**g. Determine x(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*s + 3641 = -137*s - 5479 for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.986932307 rounded to three dps?\nAnswer: -0.987","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 441 + -618 - (7 - 82).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, q: 3, p: 3, b: 1, v: 3}. What is prob of sequence pgp?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57714425.\nAnswer: 5, 577, 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.64 in -1, -2, 220?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 193\/173944848 and -9\/14.\nAnswer: 173944848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**0)**(1\/33)\/(z*(z*z**(-1\/2))\/z)**(13\/3) assuming z is positive.\nAnswer: z**(-47\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2119 times 0.036\nAnswer: -76.284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14436807914.99999871 + 14436808189. Let y = -274 + k. What is y rounded to 7 dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 683 is divided by 84.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37.91 - -38. Let v = -3.09 + t. Sort -13, 3, v in decreasing order.\nAnswer: 3, v, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2305 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -4*m - 10. Let j(u) = -u - 3. Let t(v) = -3*b(v) + 10*j(v). Let y(i) = -3*i**2 + 3. Calculate y(t(o)).\nAnswer: -12*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-1)*(-4)\/(-28)*(-76)\/(-5890)*-124?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -4*n**5 + 252*n**4 - 444*n**3 - 2732*n**2 + 2784*n + 8784 = 0.\nAnswer: -2, 3, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 532995.8 hours?\nAnswer: 31979748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 2365862319 and -27.\nAnswer: 2365862292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/(-3))\/((-1)\/3). Put n, 0, 4 in decreasing order.\nAnswer: 4, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5*r = -8. Suppose -h - 32 = -3*o, -r*h + 8 = 5*o - 3*o. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 5*z. Let y be u(4). Let t = -6 + y. Let a(w) = -100*w**2 + 51*w**2 - w**3 + 3*w + 3 - 1 + 49*w**2. Calculate a(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19703000 to the nearest 100000.\nAnswer: -19700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 4:56 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8\/15 + 2\/15. Let h = -14 + 13.84. Let o = h - -0.16. What is the third biggest value in i, 0.2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 20 = -3*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -8. Let a be 3 + z + -3 - -4. Suppose -3*w + 38 = 5*c, -5*c = -a*w - 3*c + 68. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 5:02 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n + 4*n + 26*n**2 - 25*n**2 - 3. Let q be l(-3). Solve -2*v + 11 - 37 = 4*a, q*a + 37 = -5*v for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10200 + -10?\nAnswer: 10120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1*-1*sqrt(12) + ((-2*sqrt(3) + -2)**2 - sqrt(432)*-1).\nAnswer: 14 + 22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 114 - -305?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1877265*g + 1877183*g + 7380 for g.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15896847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 253224 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1403 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2 - 3638*h - 68400.\nAnswer: -2*(h + 19)*(h + 1800)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -175, -29, 221, 581, 1057, 1655?\n\"Answer: z**3 + 46*z**2 + z - 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2\/19, 8.\nAnswer: -2\/19, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = 4*k. Let m(s) = -s**3 + 14*s**2 + 15*s. Let y be m(15). Do k and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 29*z - 69. Let i(b) = 10*b - 23. Let g(d) = 8*i(d) - 3*v(d). Let a(r) = -r + 2. Let s be a(9). Is 17 a factor of g(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/3 or 1.234?\nAnswer: 1.234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1139 (base 11) to base 9\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3519840 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3778 - -8205. What are the prime factors of x?\nAnswer: 19, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + v + 3, -33*b = -35*b - 2*v. Let g(m) = -m**2 + 4*m - 5. Let x be g(4). Sort x, b, 8, 5 in descending order.\nAnswer: 8, 5, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**3 + 1 - 1 + (-2*g**2 - 3*g + 3*g)*(-3 + 3 - 2*g) + g**3 - 2*g + 4*g - 1 - 3*g.\nAnswer: 3*g**3 - g - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3*u = 9 + 47, h + 16 = 3*u. What is the remainder when 70 is divided by (0 - -25) + 10\/h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28 + 28 - h + (2 - 11 + 3)*(9 + h - 9) as d*h + r and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 10, -544?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(65)*-1 + sqrt(65) - sqrt(65))\/(sqrt(5) + (1*sqrt(20))\/sqrt(4)).\nAnswer: 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (400\/(-120))\/((-10)\/60). Sort -0.2, 50, i in decreasing order.\nAnswer: 50, i, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-3)*1)\/(369\/(-1476)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(3\/18)*-1. Let r = v + -10. Put 2, 1, r in descending order.\nAnswer: 2, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of 0*m - 13\/24*m**4 - 2*m**3 + 0 + 15*m**2. Let w(h) = 2*h. Give z(w(x)).\nAnswer: -26*x - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 - 4 - 20 = -47*x. Suppose 3*i - 24 = -i. Sort -4, i, x in decreasing order.\nAnswer: i, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5866.8 and 0.4.\nAnswer: 5867.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1990196030 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14983 + -104877\/7. Factor 16\/7*n - 12\/7 - a*n**2.\nAnswer: -4*(n - 3)*(n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38401*x**3 + 44327*x**2?\nAnswer: -230406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172*h = 156*h - 25840. Let t be 4\/18 - (h\/171 - -3). What is n in -50\/3 - t*n - 2\/3*n**2 = 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002371579 to four dps.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 135\/(-180)*12\/(-3)*-3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36400?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooooooo. What is prob of picking 2 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4469 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1*-1)\/(-1) - -163. Let w be (-38 - -36)*134\/(-4). Let g = n - w. What are the prime factors of g?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 172 - -3. Suppose y = 6*g - g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-97)\/291)\/((-2)\/(-42)). Let y(p) = p**3 + 7*p**2 - 17*p - 19. Calculate the smallest common multiple of y(a) and 15.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209 is divided by 63.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-38)\/(-2) - 4\/1. Let i be m\/6*10\/5. Suppose y - 17 = -3*h, y + 4 = i*h - h. Is y a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 5*l - 22, 0*p - 8 = -2*p - l. Let i be 1\/p*(-5 + 4 + 7). Suppose 2*s**3 - i - s**4 + 0*s**4 + 52*s**2 - 48*s**2 - 2*s = 0. Calculate s.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 1. Let t = -28 - -50. Suppose -i - 4*y = -16, -4*i + t = 8*y - 6*y. Which is the nearest to -3? (a) -1 (b) i (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8740882 to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13536*d**5 - 441*d**2 - 4155357*d wrt d.\nAnswer: -270720*d**3 - 882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65174565 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*c**2 + 2*c**2 - 4*c**2 + c)*(-6 - 5 + 2) in the form u*c**2 + b + w*c and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2*r = v - 16, 0 = 4*v - 5*r - 33. Solve v*p - 6 = -p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 6*n + 9. Let w be c(-7). Suppose -w*a - 3 + 9 = 0. Suppose -36 = a*h - 4*h. Does 18 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-19) - 20\/(-190). Let k = n + 4. What is the greatest common factor of 4 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g. Let w(i) = 661 - i - 661 - 2*i. Give k(w(r)).\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 123697256 divided by -4?\nAnswer: -30924314","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is -69.913884 rounded to 0 dps?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17200 + 17200. Let w(m) be the first derivative of 0*m**4 - 17*m - 29 - 14\/5*m**5 + d*m**3 + 0*m**2. What is the derivative of w(v) wrt v?\nAnswer: -56*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 1634\nAnswer: 2\/817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11014 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-92)\/8)\/((-3)\/12)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 181856 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3265 + 5132. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 4 (b) -28 (c) 0.01 (d) 4439\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1257*u - 356*u + 224*u to the form r + w*u and give w.\nAnswer: 1125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 250 = -4*f, -2*q = 3*f + q + 195. Let x = -11 - f. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*x**6 - 23497021*x**3 + 78253*x**2 - 23*x + 4?\nAnswer: -240*x**3 - 140982126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) - ((sqrt(325) + 1 + 2)**2 + sqrt(325)) - -1*(3*sqrt(1053))**2)*-4.\nAnswer: -36572 + 120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-37)\/6)\/(-18*22\/2376) - 3.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 10) to base 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1472 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 25. Suppose 2*m + 12 = -4*r, 0*r + d = -4*r - m. Let v(q) = -2 - 2 + 3 - 3*q. Give v(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*v**3*x*y + 22*v**3 + 26*v**2*x*y - 6*v**2*x wrt y?\nAnswer: 4*v**3*x + 26*v**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x. Let u(v) be the first derivative of -v**3\/3 + 5*v**2\/2 - 84. Give 10*o(m) - 2*u(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q. Let m(w) = -7*w - 3. Give -m(h) - 6*y(h).\nAnswer: h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 49*i**3 - 29*i**2 + 491 wrt i.\nAnswer: 147*i**2 - 58*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-16)*a**(4\/7)*a*a**31\/a**(2\/11) assuming a is positive.\nAnswer: a**(1262\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence moju when four letters picked without replacement from {m: 5, o: 2, u: 1, n: 6, j: 2}.\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1007 + -708. Let g = p + -295. Solve 4*f - f - g*o = 11, 5*f + 20 = -o for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27414*l**4 + 433990*l**2 wrt l?\nAnswer: 657936*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 99*w**2 + 752*w - 74440. What is f(99)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1863.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97829 is divided by 271.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 - 5224229*g + 5224229*g - 238*g**2 + 236*g**2.\nAnswer: -2*g**2 - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (3\/5)\/(6\/(-4))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2577a8 + -3?\nAnswer: 2577a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 1) + -6 + 14 + -13?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1454756.\nAnswer: 2, 29, 12541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 + 6300800*j - 4962510080000.\nAnswer: -2*(j - 1575200)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -41, -118, -193, -266, -337, -406?\n\"Answer: p**2 - 80*p + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5707002, -11413863, -17120724, -22827585?\n\"Answer: -5706861*d - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of d**5\/30 + d**4 + 20*d**3\/3 + 4*d**2. Find t such that p(t) = 0.\nAnswer: -10, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b**3 + 11*b**2 + 7*b - 5. Suppose 28*k = 40*k - 48. Let s be g(k). Solve -s*i + 5*i + 4 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q - 8*q - q + (-q + 0 + 0)*(-25 + 221 - 108) in the form g + a*q and give a.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -1.1 (b) -0.4 (c) 1\/4 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1020333 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -2.7. Let b be -2 + (5 - 1) + -3. Sort 3\/8, u, b in descending order.\nAnswer: 3\/8, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/6)\/((-1)\/3). Suppose 5*s = -m + k*m - 20, 3*m = 2*s + 8. Suppose 2*f + 158 = -3*v, -3*f = 3*v - m*f + 162. Round v to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5*h - 214. Determine x(43).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 425 * 204\nAnswer: 86700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of 11*k**4\/24 - 7*k**3\/3 - 210*k**2 + k. Let d(o) = 6*o - 7. Determine -7*d(p) + 4*u(p).\nAnswer: 2*p - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 103 and 23381?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24628959919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of j**6\/120 - j**5\/60 + j**4\/24 - 2*j**3\/3 - 2*j**2. Let l be n(2). Solve 5*o - 10 = 0, -l*o + 24 = 2*g - 6*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 - (47 + -98 + 45)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 4*x + 83 - 43, -x - 13 = -2*k for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t*t\/t**(-23))\/t)**7\/(t**(6\/5)*t*t\/(t\/t**3)))**(-1\/66) assuming t is positive.\nAnswer: t**(-283\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -96422, 4.\nAnswer: -96422, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 114 + -102. Solve -3*c + 3*v - q = 0, c - 5*v - 2 = -10 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 6*z + 6. Let o(g) be the third derivative of -g**5\/60 + 5*g**4\/24 - 5*g**3\/6 + 14*g**2. Calculate -6*o(y) - 5*q(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/12)\/((-365)\/(-1602) - (10000\/450 - 22))?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -6*z - 18*z + 2*z + 24*z. Let l(q) = 1340*q**2. Give d(l(p)).\nAnswer: 2680*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-8) - 45\/20. Is 143 + -1 + b*(-4 - -3) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87295271?\nAnswer: 7, 12470753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 263\/30988 or -1?\nAnswer: 263\/30988","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*d + 5 - 14 + 9.\nAnswer: -28*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -221*w + 5310. What is y(24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36220, 36261, 36316, 36391, 36492?\nAnswer: 36625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15 + -16515?\nAnswer: -16532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-118)\/(-14) + 9\/(-21). Which is greater: 20\/3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 309*h**2*n**2 + 25*h*n**2 + 25414*n**2 wrt h.\nAnswer: 618*h*n**2 + 25*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5.3 from -1267.\nAnswer: -1261.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -3695\/83 and 84 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**3 + 775*p**2 + 26240*p - 302580.\nAnswer: 5*(p - 9)*(p + 82)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3843 - 898 + 1283)*(-3*u + 1 + 5*u + 0*u).\nAnswer: -6916*u - 3458","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 3*x - 3*t + 88, 18*x = 7*x + t - 6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 70, 71, 72, 73, 74?\n\"Answer: p + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 951 + -951. Which is smaller: s or -36\/43?\nAnswer: -36\/43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-20)*216\/6885?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -810713, -810711, -810709?\nAnswer: -810707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l**3 + 60*l**2 - 10*l - 184. Let h be m(-20). Solve -18*x = -3*j - h*x + 13, j - 1 = 4*x for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1548 - 108*z + 1548)*(5*z - 2*z - z + (1 + 0 - 11)*(-z + 5*z - 2*z + (2 + 2 - 6)*(4 - 2*z - 4))).\nAnswer: 6264*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10500 + 105?\nAnswer: 11005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1140030 is divided by 4401.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21 - 1431000?\nAnswer: -1430535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*a + 28 = 0, -a = 4*q - 5*a - 32. Suppose 5*j - 21 = 4. Solve 0 = 2*x - j*x - q for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -35. Let h = 34 + d. Suppose 4*w = h + 6. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*j - 24331 = -31819 for j.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 47500 and 5700.\nAnswer: 142500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3622 + -1913. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bzzbzb. What is prob of picking 3 b and 1 z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97923 - k**3 + 97923.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/((-63)\/(-28)) + (-158)\/(-24). Which is the fourth smallest value? (a) -1 (b) 5 (c) k (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 66.86197l?\nAnswer: 66861.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k - 1. Let w be i(-1). Suppose 5 = -3*o + f + 12, 7 = -5*o - 3*f. Let r = o - w. Solve 0*p - u = r*p + 3, -p + 4*u + 12 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 88*i**2 + 13*i**3 + 10 - 88*i**2 with respect to i.\nAnswer: 39*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 5*p = 4, -16 = 4*g - 4*p for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3\/118 + -185\/2006. Which is the closest to -0.3? (a) 2 (b) f (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.079 - 42.921. Let x = j - -37.6. Let p = -3.4 - x. What is the smallest value in 5, p, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8886 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/258823 and -70\/183?\nAnswer: 776469","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 227619 - 227617. Suppose -1\/2*i + 5\/3 - 1\/6*i**v = 0. What is i?\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8292, -8232, -8170, -8106, -8040, -7972, -7902?\nAnswer: -7830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - t + 12 = 0. Suppose 3*z = 2*z + t. Suppose -5*h + 11 = -p + 3, -z = h - 4*p. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63382 is divided by 125.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - z = -57, -3*w - 2*z + 18 + 36 = 0. Suppose -w = -4*v - v. Suppose -n = -v*n + 12. Solve 0 = -n*l - 4*g - 8, 0*g + 6 = -2*l - g for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198262 smaller than 198352?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -4*t + 13, -3*t + 126*d = 2*t + 88*d + 43*d - 35 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - -25. Suppose -3*u + d + 88 = 0. Suppose 0 = -5*r + 199 - u. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/105 or -2?\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 140*a**2. Let d(j) = j**2 - 617*j. Calculate d(h(m)).\nAnswer: 19600*m**4 - 86380*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 + -12. Let c = 12.2 - l. Which is smaller: c or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 1475*j**3 - 25*j**2 + 25*j. Let q(d) = 123*d**3 - 2*d**2 + 2*d. Calculate -2*n(x) + 25*q(x).\nAnswer: 125*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 4 + 0 + (-16)\/2. Let g(f) = -f**2 - 10*f + 3. Calculate the smallest common multiple of g(u) and 45.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5054021 (base 8) in base 9?\nAnswer: 2451805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 713124?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -5, 0, 13762.\nAnswer: -5, -4, 0, 5, 13762","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 4*o = 18. Is -565*(o\/3 - 3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.655 + 2.495. Which is the closest to 0.8? (a) 1 (b) 0.2 (c) s (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 185 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 625514 to the nearest integer?\nAnswer: 791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -14*r - 14. Let h be b(-4). Let j be 1\/(-3 + (-12)\/h). Which is greater: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 9:41 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11122 (base 3) in base 5?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 3\/8, 0, -2\/15, -5, 120.62?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21 - -4330022224?\nAnswer: 4330022300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*a - 36 + 16. Let w be 88\/32 - a\/8. Sort 5, w, -3, 8 in decreasing order.\nAnswer: 8, 5, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107, -339, -693, -1169, -1767?\nAnswer: -2487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110091?\nAnswer: 3, 36697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 16*r**2 + 18*r - 5. Let s be g(17). Suppose 0*p + s = 2*p. Let y = 10 - p. Solve 7*v + y*b = 2*v - 12, 4*b = 5*v + 28 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - -2)\/((-6)\/(-4)). Suppose -3*a + q + 2 = -3, -q = -1. Let o(d) = -3*d**3 - 2*d**3 + a*d**3 + 3 - 2*d**2 + 4*d**3 - 2*d. Determine o(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(22) - 1*sqrt(22)) - sqrt(22) - sqrt(22))\/(-6*sqrt(22)\/sqrt(2)).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000096 rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29625 = 81*o + 30273 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 5. Suppose 4*w - 5*c + 2 + 3 = 0, 4*w - 2*c + v = 0. Suppose 2*p - 3*p + 49 = w. Is 7 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, x: 1, q: 1, r: 2, n: 14}. What is prob of sequence rnl?\nAnswer: 7\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooto when four letters picked without replacement from ooooyootootyoooyto?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -20 + 0 - (-1)\/1. Let i(a) = -209*a - 1. Let s be i(o). Round s to the nearest 100.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/20*(3 + 0 - 4).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/36*-30)\/(630\/392)\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 118*p - 107*p. Let s = -0.05 + -0.15. Put 0.5, s, p, 2\/41 in decreasing order.\nAnswer: p, 0.5, 2\/41, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 747925723 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 x when four letters picked without replacement from xxxeyxnnytynxsesseen?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**2 + 3012*h - 6036 = 0. What is h?\nAnswer: -1006, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = -u + 3*m + 15623, 5*u - 78195 = m. Suppose 5*c = 7*c - u. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 11675?\nAnswer: 11673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 43? (a) -1\/2 (b) -18.37 (c) -0.03 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3460?\nAnswer: 2, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -80*(1\/((-100)\/(-860)) - 9)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/1989 and 75\/33592.\nAnswer: 302328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3768*p - 1471. Let c(l) = 3742*l + 1470. Let d(s) = 4*c(s) + 3*w(s). What is the first derivative of d(k) wrt k?\nAnswer: 3664","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of 13*z**7\/42 + z**4 + z. What is the third derivative of s(k) wrt k?\nAnswer: 780*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1191 not equal to 0.11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -87975\/18689 at most -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1850, -7405, -16666, -29633?\n\"Answer: -1853*o**2 + 4*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b - 1. Let q(i) = -i + 1. Determine -4*g(n) - 5*q(n).\nAnswer: -3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67301989?\nAnswer: 67301989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2704741?\nAnswer: 13, 208057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -520324 and -520335 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 9*k - 10. Let i be o(-7). Suppose i*l = 2*l. What is the units digit of l - (2 + -5 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -2*h**3\/3 + 3*h**2\/2 + 2*h + 363. Let i = -12 - -8. Let u(w) = -w**2 + w. Give i*u(g) + a(g).\nAnswer: 2*g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) 3 (b) 4 (c) 0.096 (d) -2 (e) 0.31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -5, 0.5, 10, -1 in descending order.\nAnswer: 10, 0.5, -2\/3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - w**2 + w + 4. Let a(o) = 2*o**3 + o**2 - o - 7. What is 3*a(f) + 5*t(f)?\nAnswer: f**3 - 2*f**2 + 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2859?\nAnswer: 3, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.169 - 6.169022986. Round g to seven dps.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -894971*m**2*z**2 - m**2*z - 54928994*m*z - z**2 wrt m.\nAnswer: -1789942*z**2 - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hjh when three letters picked without replacement from {h: 2, j: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1*r**4\/r)**(7\/4))**(-8\/3) assuming r is positive.\nAnswer: r**(-56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*k - 592 = 14*m, -5*k + 1801*m - 1804*m = 79 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -1073\nAnswer: -4\/1073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*u + 178*u = -468105000. Round u to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27050832 is divided by 6762696.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/753 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6804350 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 627*b - 5. Let z be q(0). Let h(c) = -c**3 - 4*c**2 + 15*c + 41. Determine h(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 387 and 812875053.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 6:01 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 157280890 and 78?\nAnswer: 471842670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -34 + 28*r + 36 - 15. What is the remainder when k(6) is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 + 48222*u - 33461100.\nAnswer: 2*(u - 675)*(u + 24786)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 184105824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244406557.\nAnswer: 19, 1567, 8209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 5*i + 10, 0 = -2*l + i + 4*i + 25 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 71 and -8?\nAnswer: -568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 4*t - 8*t = -4, -5*t + 17 = g. Find k, given that 2\/3*k**g + 2*k + 4\/3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8843715*k**3 - 19*k**2 + 80061*k + 564?\nAnswer: -53062290*k - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/15 and 55\/156.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*u + 9. What is the second derivative of -a + 0 - a**u - 5 + 5 wrt a?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6861*q - 6860*q - 2 = d, -4*q + 32*d = -36 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 3*s - 4. Let c be o(5). Let d = c + 5. Let m be (-2)\/(-4) + d\/2. Calculate the highest common divisor of 2 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -141?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -7) + (1 - 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + z + 40. What is o(0)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**3 + 1762*d**2 + 343932*d + 680832 = 0?\nAnswer: -591, -288, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6136 by -59.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -t + 2*t - z, -12 = -3*t - 3*z. Suppose -t*f - 13 = -45. Let l = -1\/12 - 1\/4. Which is the closest to 0? (a) l (b) -5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-6)\/k)\/(k*k*k\/(k*k**(2\/13)*k*k)))**(-29)*(k\/(k*k\/(k**(-1\/5)\/k)*k)*k**(-2\/19))\/(k*k**(1\/2))**(-2\/31) assuming k is positive.\nAnswer: k**(7478208\/38285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -85\/64 - -5\/64. Let m = -193\/2 - -583\/6. What is the third biggest value in 2\/9, p, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*n**5 - 580*n**4 + 6828*n**3 + 84004*n**2 + 88264*n + 11616 = 0.\nAnswer: -11, -1, -2\/13, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 + 11*x + 0*x - 9*x)*(1 - 9 + 1).\nAnswer: -14*x + 154","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/(-2)*10\/2. Let p = b + 54. Suppose 5*z - p = 16. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1118731, 1118680, 1118631, 1118584, 1118539, 1118496?\nAnswer: 1118455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + 9)*12\/6. Let n = 18 - j. Which is the smallest value? (a) n (b) 3 (c) 1 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(400)*1)\/(4*(sqrt(8) + 2*sqrt(8))))**2.\nAnswer: 25\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -11 + 3, 7*h - 9*h + 3*j = 18 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -m**6\/40 - m**5\/30 - m**4\/24 + 2*m**3\/3 + 18*m**2. Let y be d(-2). What is the units digit of (-44)\/242 - (-752)\/y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -4. Differentiate r*w - 1 - 1 - w wrt w.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.16, 0, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/3 + (-1 - -5). Let r = 21 - v. Suppose 3*y - r = 0, y = -j - 3*j + 649. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 3*a, 182523*f = 182525*f + 5*a + 3 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5498, 5500, 5502?\nAnswer: 5504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 5 (c) -5 (d) 1\/3 (e) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/16 (b) -5 (c) 170\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -277 + 58. Let p = -54 + d. Does 2 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 42*f - 2. Let z be q(-2). Suppose 5*k - 9 = -24. What is the tens digit of z\/(((-2)\/(-6))\/(k\/6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 354*u + 751*u + 83*u.\nAnswer: 1188*u - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 12) in base 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 z when two letters picked without replacement from {n: 1, c: 2, z: 5, v: 1, f: 3}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -146 - -440\/3. Factor b*g**3 + 2\/3*g**2 + 0 + 0*g.\nAnswer: 2*g**2*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s + 16. Is p(10) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -8. Let h = 7 - a. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, 0.2, -1, -1\/3, 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 8064230 * -0.6\nAnswer: -4838538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q. Let g(s) = 3*s**2 - 10*s + 3 - 2*s**2 + 16. Let y be g(9). Let f(w) = 5*w - 2 + y - 8. What is m(f(k))?\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 + 39. Let o(n) = 10 - k + 3*n**2 + 2*n**2 + 6*n. Is o(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 139*g**2 - 2574*g - 12199. What is o(156)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: Let w = 107 - 103. Let d = -10 - -7. What is the nearest to 1\/4 in d, 7, w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1216689.999906 - 1216693. Let v = -0.06 + -2.94. Let r = b - v. Round r to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15.8*-2192939.\nAnswer: 34648436.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -21550 times 3.45?\nAnswer: -74347.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 11 = 4*f, 3*f + 2 = 2*l + 14. Let y = l - -15. Let r = y + -7. Sort -5, r, 0 in ascending order.\nAnswer: -5, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i + 11. Let c(n) = -3*n - 11. Let r be c(-6). What are the prime factors of w(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (823*w**4 - 1759*w**4 - 1720*w**4)*(2 - 2 + 2).\nAnswer: -5312*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 248 - 246. Suppose -4*t - 2*u = -20930, p*t - 2186 = 5*u + 8261. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 15*z - 5. Let j be k(6). Suppose 2 = 2*s - 66. What is the greatest common factor of j and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j - 9. Calculate the lowest common multiple of t(10) and 30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/3420 and 179\/13680?\nAnswer: 13680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 823.847 tonnes to milligrams.\nAnswer: 823847000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 divided by 1?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, z: 2, d: 2, f: 3, t: 3}. Give prob of sequence dzdz.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-795)\/210 + (1 - -6). Suppose w = a, 2 = 4*a - 2*w - 4. Is v >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-9 - (-16 - 2)) + -1 and 122?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l - 10. Let t be r(-7). Let h(p) = p**3 - 2*p - 4. Is h(t) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*b + x, -3*b - 20 = 2*b - 4*x. Let o be 1 - (-5 + (4 - -4)) - b. Solve -40 + 50 = o*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 - 35 = 42*z + 10*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of 0*l**3 + 1\/210*l**7 - 1\/20*l**5 + 0*l**6 + 0*l + 0 + 0*l**4 - 3*l**2. What is the third derivative of b(y) wrt y?\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 417 divided by 2?\nAnswer: 417\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 198 = -2*z. Calculate the greatest common divisor of 22 and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17350?\nAnswer: 2, 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12957493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 415*p - 1671. What is the tens digit of x(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 7:23 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**2 + 762280*b + 145267699600 = 0.\nAnswer: -381140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(2\/5))**(-13\/7))**(-20))**(11\/5) assuming h is positive.\nAnswer: h**(1144\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 604. What is the remainder when q is divided by 60?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -x**4\/84 + 11*x. Factor i(l).\nAnswer: -l**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 4104?\nAnswer: 1\/1368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.703 - -0.503. Is x <= -8\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -20.0006. What is k rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46 + y + 3*y**4 + 3*y**2 + 48 - 5*y**2 to k + j*y**3 + w*y**4 + h*y + q*y**2 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1964779 divided by -2.\nAnswer: 1964779\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -28\/11, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b = -h + 20741, -h + b + 28079 = 7378. Is 13 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 46\/6 + 9\/27. Let d = v - -2. What is the least common multiple of 4 and d\/10 - 1*-3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -7*t**2 - 2. Let m(p) = 7*p**2 + 2*p**2 - 8*p**2. Calculate c(m(o)).\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4921 - 254?\nAnswer: 4689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49768149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -74126170.39 and 27?\nAnswer: 74126197.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 - 51. Calculate the highest common divisor of v and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*r + 10*r**2 + 128 - 8 - 110)*(-2*r**2 - 5*r**2 + 3*r**2).\nAnswer: -40*r**4 - 40*r**3 - 40*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 7*l**2 - 8*l - 8. Suppose p - 6 = 2*p. Let s be d(p). What are the prime factors of ((-8)\/(-6))\/(s\/18)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.947135024675 less than 186?\nAnswer: 185.052864975325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -2*b**7\/147 + 26*b**6\/35 + 82*b**5\/35 + 2*b**4\/21 - 54*b**3\/7 - 82*b**2\/7 - 2*b + 10. Find a, given that g(a) = 0.\nAnswer: -1, 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - j + 4579999, -5*c - 2700227 = -3*j - 7280230. Round c to the nearest 10000.\nAnswer: 920000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-8) - 651\/(-124). Suppose r - 2 = p*o + 47, 0 = 4*r - 3*o - 111. Calculate the remainder when 45 is divided by r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 0.293\nAnswer: 0.879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 6*d + 6. Let v be 11 - (-2)\/8*0. Let s(j) = 11*j - v + 0 + 0 - 2*j**3. Calculate 11*f(o) + 6*s(o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/f**(-1)))\/(f**(-2)*f))\/(f**(-2\/3)*f*f**(1\/4)) assuming f is positive.\nAnswer: f**(-7\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3850 and 27756575?\nAnswer: 1925","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1400 divided by 700?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) + sqrt(224)*-5)\/sqrt(2) + (sqrt(63) + 4)**2 + -3*sqrt(7)*-2 - (-2*(sqrt(70) + sqrt(70)*-3 + sqrt(70) - sqrt(70)))\/(3*sqrt(90) - sqrt(90)).\nAnswer: 31*sqrt(7)\/3 + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**3 - t + 1 - 7*t**2 + 3 + t**3 - 2*t. Give f(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-14))\/5*7\/(-6).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -17*f + 45. Let x(u) = -6*u + 15. Let q(i) = 4*r(i) - 11*x(i). Determine q(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2603134936 to the power of 1\/2, to the nearest integer?\nAnswer: 51021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q + 2. Let a be v(1). Suppose 4*h = a*d - d - 4, -2*h + 1 = -d. Suppose -87 = -d*n + 72. What are the prime factors of n?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 1\/130, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 117367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3341580 a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of 5*g**4\/24 - 5*g**3\/6 - 3*g**2. Is f(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -112? (a) 0.2 (b) 0 (c) -1 (d) 4 (e) -0.5 (f) -44.7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 12*y + 2. Let u(d) = -26*d + 131. Give 3*a(h) + u(h).\nAnswer: 10*h + 137","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -x**4\/3 + 268*x**3\/3 + 544*x**2 - 23*x - 15. Let l(o) = 0. Calculate o.\nAnswer: -2, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -236419\/2922 less than -82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -7*s**2 + s - 1. Let p be n(3). Let g = 62 + p. Suppose 15 = j - 5*h, j + 2*h - g = -0*j. Solve 15 = 4*i + i + j*x, 2*i = -x + 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 5*s - 10. Let l = -4540 - -9542. Suppose -s*y + l = -10713. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2 - p + 2. Let d be 1*-1 + (-12)\/(-4). Determine h(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 7. Let u(l) = l**2 + 6*l + 3. Let o be u(s). Is -2 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16856 + 2*o + 16856.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**(1\/3)))\/(h*h**(-3\/4))*h**(-5)*h*h**(-2\/7))**(3\/26) assuming h is positive.\nAnswer: h**(-353\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, g: 2, e: 2, z: 1, f: 2}. What is prob of sequence lfz?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 788760624 to the nearest integer?\nAnswer: 28085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1169553 by 7.\nAnswer: 167079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.114 and 0.2?\nAnswer: -0.0228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 3) in base 14?\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -8*g + 3. Let y be p(-9). Suppose 77*n = y*n + 62. Let q = -380 + 563. Calculate the remainder when q is divided by n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*u**3 - 2*u**3 - u**3 - 2*u**3 - 3*u**3 + 3*u**3 + (2*u + 2*u**3 - 2*u)*(1 + 3 - 2) + 3*u**3 + 5*u**3 + 3*u**3 + 3*u**3 + 0*u**2 + 0*u**2.\nAnswer: 18*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (1 - 9) - (-9 - 8)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 + 0.2\nAnswer: 0.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence skcc when four letters picked without replacement from {m: 5, c: 2, e: 1, k: 4, s: 4}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19? (a) -0.42 (b) 2\/25 (c) 0 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16327, -32656, -48985, -65314, -81643?\nAnswer: -97972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of 637*c**4\/12 - c**2 - 18*c. Suppose -4*a + 3 + 1 = 0. Is m(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 + -26. Let o(t) be the first derivative of 2*t**3\/3 - t**2\/2 + 2*t - 1. Give o(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 3:45 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 0*r - 5*r = 84, 3*a + 2*r = 107. Suppose 0 = 4*d + a*d - 3034. Is 37 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1384 and 2155240?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + 36\/(-16) + 2 + -1. What is the nearest to 0.1 in a, -2, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*z = -112*z + 38. Let m(d) = -3*d. Let j(f) = 7*f. Calculate z*j(y) - 5*m(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 75409218 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 6:16 PM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/((sqrt(27)\/sqrt(3) + sqrt(9))\/sqrt(3)))\/(sqrt(12)\/sqrt(96) + sqrt(2) + (sqrt(2) - (sqrt(162) - 1*sqrt(162))) + sqrt(2)).\nAnswer: 2*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5122369, -10244743, -15367117?\nAnswer: -20489491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 603623*t*y - 712354*t wrt y?\nAnswer: 603623*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15461514 (base 7) to base 9.\nAnswer: 2726363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2 + 574*l + 426. Let p(n) = -3*n**2 - 1148*n - 842. Let r(u) = -7*c(u) - 3*p(u). Determine y, given that r(y) = 0.\nAnswer: -114, -4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 + 0*i**2 + 2*i**2)*(1 - 5 + 3) + 3*i**2 + 2*i**2 - 6*i**2 + 2*i**2 + 1 - 1 + 0*i**2 - i**2 - i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 8 + -1 + -1 + -2 + 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -1\/10 (b) 4\/15 (c) 0.4 (d) 53 (e) 0.3 (f) -4 (g) -14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + c**3 + 1 + 1 - 11*c**3 + 3*c + 0. Let f be q(-1). Sort 0, -3, f in ascending order.\nAnswer: -3, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {n: 15, f: 4}?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*d**3 + 45 - 9*d + 937*d**2 - 20*d**3 + 32 - 937*d**2.\nAnswer: -2*d**3 - 9*d + 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 86 + -85. Let p = z + -11.6. Let o = 10.5 + p. Which is the third smallest value? (a) o (b) -1\/9 (c) -1\/4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*f + 4*i, -2*f + i = 6*i + 2. Let r(t) = -t - 11. Let l be r(-6). Calculate the remainder when f is divided by 4\/(-6)*(2 + l).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (0 + sqrt(2448)*-2 + 3)**2 - (sqrt(68)*-2 + 5 + (sqrt(102)\/sqrt(6))**2 + 0).\nAnswer: -140*sqrt(17) + 9780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*c**3 - 24*c**3 + 81 - 81.\nAnswer: 9*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1711 - -1705. Let o = -7 - -4. Let d be a\/(-9)*o - 3. Put -1\/4, -4\/7, 2, d in ascending order.\nAnswer: d, -4\/7, -1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 8.236 (c) -2\/5 (d) 0.111\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78, 150, 222, 294, 366?\nAnswer: 438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/56456600 and -53\/35800.\nAnswer: 56456600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -87, 3\/2, -3\/5 in descending order.\nAnswer: 3\/2, -3\/5, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y - 2. Let z be -3 + -1*3\/3. Let t be o(z). Suppose -42 = 3*p - t*p. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of 13*c**4\/12 + c - 102. Let b(z) = 4*z**2. Determine x(b(r)).\nAnswer: 208*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8226 - -53224. Suppose 3*f - 2*o + 15002 = 4*f, -2*o = -3*f + v. What is f rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-59)\/(-16992)*48*(-4)\/30*(-18)\/2. Let b = -2 - -4. What is k in v*k**b + 2\/5*k + 1\/5 = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -181\/300 and -113\/12?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-44891)\/3388)\/((-10)\/80)\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011010111000101111001 + -110101?\nAnswer: -1011010111000110101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h*h**(-6\/5))*h**(-4\/5)*(h*h*h*h*h\/(h*h*h**(-5\/4)\/h*h))\/(h\/(h*h**(-7\/5))) assuming h is positive.\nAnswer: h**(13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1285)\/156 - (-14)\/91 and -85\/834?\nAnswer: 1668","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + sqrt(931)*3*-2 + -4).\nAnswer: -126*sqrt(19) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.14325 rounded to the nearest integer?\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -16. Suppose -4*v + r = -46. Let k = 19 - v. Calculate the remainder when k is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -527419 at most as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 69766 and 154?\nAnswer: 5371982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 + 6028*k**2 + 30182*k + 24152.\nAnswer: -2*(k - 3019)*(k + 1)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 10:17 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20 + -3012?\nAnswer: -3032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 6*r**2 - 2*r + 38. Let y be d(-7). Suppose 328 = m + b, -b + 505 = y*m - 479. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 * -56.024446\nAnswer: 2.8012223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3730 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 3*m**2 - 26*m + 130673. Is a(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39775 and 12800.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/58)\/((-822)\/11919).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -121 or -116?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6b9d (base 14) to base 11\nAnswer: 13104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*r + 3*h - 15, h = -4*r - 1. Which is greater: 62\/187 or r?\nAnswer: 62\/187","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106071357 a multiple of 2581?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1884.\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*(d*d**(-5))\/d)\/d)\/((d*d\/(d**(-2\/7)\/d))\/d))**(-17)\/((d**6\/d)\/d**(-6\/13)*(d**(-2\/3))**(-27)) assuming d is positive.\nAnswer: d**(9136\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {i: 1, l: 3, j: 5, q: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 2*n**3\/21 + n**2\/7 + 6. Suppose h(d) = 0. Calculate d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/130 - 4026\/(-26). Suppose -u = -g + 288. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 8*c + 55. Let r(j) = -2*j**2 - 22*j - 15. Let a be r(-10). Let d be a + 17*(4 + -5). Let i be p(d). Solve k + 2 = i for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -115*k + 116*k - 0*c, 0 = -507*k - 2*c - 6090 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2050 + 2050 + 61*z as g + t*z and give t.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49231, -98575, -147931, -197293, -246655, -296011, -345355, -394681?\nAnswer: -443983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 25*s + 46. Give d(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22? (a) 2\/3 (b) 525 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 20 = 0, -4*y + 0*a + 36 = -5*a. Find the common denominator of 19\/7 and y\/(-22)*(-294)\/12.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 4*z**2 - 4*z + 7. Let c be s(-5). Factor -2*x**2 - 3 + c - x - 3*x + 4*x**3 + 3.\nAnswer: 2*(x - 1)*(x + 1)*(2*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 818 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 - -16. Let t be (-1 - -7)*(c + (-580)\/12). List the prime factors of (-1 - t\/14) + (-22)\/(-77).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.1 - 0.8. Let u = -0.06 - -0.05. Let y = -3.01 - u. Which is the biggest value? (a) 0 (b) y (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 184170 and 150?\nAnswer: 920850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6370408 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -11 + 0*v**3 + 5*v**3 + 10*v**2 - 8*v + 2*v**3 - 8*v**3. Calculate the remainder when d(8) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/176*(-80)\/(-10).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -8) + -3 + (12 - 8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -122*j**3 - 11*j**2 - 71*j + 6. Let b(o) = -41*o**3 - 4*o**2 - 24*o + 2. Let m(q) = 11*b(q) - 4*z(q). Find the second derivative of m(i) wrt i.\nAnswer: 222*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a millennium in years?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 46*a*f - 1442157*a + 1091*f wrt f?\nAnswer: 46*a + 1091","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84340 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29602 and 1148.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-148)\/40 - (-12)\/3)*-2. Which is the closest to 0? (a) 5 (b) 1\/8 (c) g (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 38, -2\/21, 4?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-1206)\/(-15))\/(4\/10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -8.4. Let u be (8\/14)\/((-29200)\/8050 - (-2)\/(-23)). What is the closest to 0.1 in l, -4, u, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-407704)\/(-22374))\/(12\/81)?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -14*o + 12. What are the prime factors of i(-5)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -486*t**3 - 495*t**3 - 512*t**3 + 1459*t**3.\nAnswer: -34*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 145464 divided by -132\nAnswer: -1102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2255?\nAnswer: 5, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*p = 19 + 38, 5*p + 15 = 0. What is the tens digit of ((-16)\/(-3))\/(3 + 140\/w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55 or 79?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -11, -20, -33, -50, -71, -96?\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - w. Let l(y) = -11*y**2 - y + 7. Let p(b) = l(b) - v(b). What is the derivative of p(j) wrt j?\nAnswer: -24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 - 6 + 18*k**3 + (-4*k + 2*k**2 + 4*k)*(2 - 5 + 1)*(-5*k + 4*k + 2*k).\nAnswer: 14*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1760\/117 - -134\/9. Let g = -11.2 + 11. Which is the third biggest value? (a) v (b) g (c) 0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31200 is divided by 693?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 4*m - p + 40, -5*m + 2*p - 38 = 0. Let j(x) = 9436*x - 17 - 4728*x - 4724*x. What are the prime factors of j(m)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 1 - 2 = 0. Let s = 4259.6 - 4259. What is the third biggest value in t, 5, s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2387*u - 4*u**2 - 3*u**2 + 3*u**2 + 3*u**2.\nAnswer: -u**2 + 2387*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 62 - 22. Calculate the least common multiple of 1\/(-3)*-1*d and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 36*n - 32*n + 773065 = 0, 0 = r + 3*n - 154613. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 7\/4 (b) -5 (c) -237\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from znzxxnznznnxnn. Give prob of picking 1 x and 1 z.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 3 + -2 + 17 + -46 + 10.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + u + 3*u - 2*u**2 + 0*u**2)*((2*u**2 - 2*u**2 + 3*u**2)*(4*u - 3*u - 2*u) - 15*u**3 - 65*u**3 - 100*u**3).\nAnswer: 366*u**5 - 732*u**4 + 366*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 3 - 13. Suppose -5*a - 8*s - 40 = -3*s, 5*a - s + 16 = 0. Let n = j + a. Sort n, -4, 1 in descending order.\nAnswer: n, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 426811.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/28 (b) 19 (c) -0.4 (d) -0.9 (e) -3 (f) 0.5 (g) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**3 - 20*f**2 - 64*f - 648. Calculate a(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -2. Let w = -5 - -30. Suppose -2*o = 3*o - w. Solve 2*x - z*v - v = -3, o*x = -4*v - 19 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23709710.\nAnswer: 2, 5, 97, 24443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2304, 0.31, -5\/62?\nAnswer: -5\/62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + q**2 + q - 4. Calculate g(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-7732\nAnswer: -773.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2222011 (base 4) to base 15\nAnswer: 335a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 471541 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 12599 to the nearest one hundred.\nAnswer: 12600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.02 - -0.08. Let v = 23 + -27. Which is the nearest to 0? (a) v (b) 1\/4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3498 = -8*w - 3482 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -344*d + 6953 + 4055 for d.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1609066184.9 - -0.4\nAnswer: -1609066184.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -1313*s**2 - 148*s - 5. Let b(m) = -2*m**2 + 25*m + 1. What is 6*b(j) + o(j)?\nAnswer: -1325*j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(18\/(-4)))\/((203\/(-126))\/(-29))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-1)*i*i**13)**(6\/25) assuming i is positive.\nAnswer: i**(84\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-251)\/(-10)*6*5. Let w = b - 350. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -127 (b) 25 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1433, -1441, -1449?\nAnswer: -1457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - -1 - (-8)\/(-4). Let z = 3928 + -3927.5. What is the fourth smallest value in q, -1\/8, -3\/4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 8, -4, 9, -3 in decreasing order.\nAnswer: 17, 9, 8, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 1 - 9 = -3*n, -3*m + 4 = -n. Suppose 22 = n*o + 5*a, 0 = -5*o - 4*a + 5*a + 109. Solve -1 = -2*y - 5*r - o, -10 = 5*r for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.084924 * -1.4\nAnswer: 0.1188936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*c**3*j**3 + 129*c**3*j**2 + 3*c**2*j**3 + c**2 - c*j**4 wrt j.\nAnswer: 36*c**3 + 18*c**2 - 24*c*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64460298 is divided by 388315.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*z - 65*z = -12 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 3:31 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 14*z - z = -5*z + 15, 62*z - 5 = -i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 5 - 2. Let j be 50\/6*3*h. What is the greatest common factor of 5 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(-1\/3))\/(t**(-10)\/t)*(((t*t*t\/(t\/t**3*t))\/t)\/t)**9)**(-3\/10))**(-18) assuming t is positive.\nAnswer: t**(801\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 813 (base 11) to base 12\nAnswer: 69a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 2*h + 2. Let c be y(2). Suppose -s - s = -2*o + 22, c*o - 3*s = 27. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, 2\/49, 5, 2\/183?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2\/5 - 23172*i + 223725660.\nAnswer: 3*(i - 19310)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 4:43 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 14301?\nAnswer: -14243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 351*v. Let w(k) = 11*k. Calculate 65*w(h) - 2*z(h).\nAnswer: 13*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*n + 4*n + 36 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 141.2 (b) -1 (c) 0.3 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1648, -3290, -4932, -6574, -8216, -9858?\n\"Answer: -1642*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6*t = 1925. Suppose -7*d - 105 = -t. Calculate the least common multiple of 20 and (-4 + d\/12)*-27.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 597, -2931, -6433, -9897, -13311, -16663, -19941, -23133?\n\"Answer: 2*u**3 + u**2 - 3545*u + 4139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/30*14 - (0 - 1).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5046?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 280 + -33. Let d = p - 243. Solve w + 23 = 4*n, -5*n = -w + d*w - 16 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 z when three letters picked without replacement from {d: 9, z: 2, e: 7}.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 148 = -2*n, -2*h = n - h + 74. Let o = 76 + n. Is 202\/o - (-4 + 0) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 912697152?\nAnswer: 2, 3, 151, 31481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -107 + 110. What is the biggest value in -38, 3\/7, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-266)\/1083)\/(2\/12). Let n be (1\/(-2))\/(57\/3). Let j = n + x. Put 3, -3, j in decreasing order.\nAnswer: 3, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2640000 divided by -4800\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/30 + (-48)\/5. Calculate the remainder when ((-48)\/20)\/(4\/v) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 w, and 2 f when four letters picked without replacement from {k: 1, f: 3, w: 1, u: 2, m: 3, n: 2}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5797.\nAnswer: 11, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -5*c**2 + 3. Let p(z) = 0*z**2 - 90 - 97 - 2*z**2 + 189. Give -7*p(o) + 4*u(o).\nAnswer: -6*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjejeeeejejj. Give prob of picking 4 j.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 1\/3 (c) 0 (d) 0.3 (e) 8\/9 (f) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4639*z + 203. Is c(-1) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-372*l**2 - 1150 + 1150)*(2*l - 3*l + 0*l)*(-2 + 0 + 3).\nAnswer: 372*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q - 1. Let u = -14 + 14. Let j be x(u). Let i = -41 + 44. What is the second biggest value in j, -0.5, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**2 - 2*h - 1. Suppose -5*f - 40 = 1011*g - 1006*g, 3*g - 5*f - 16 = 0. Let v(s) = -3*s**2 - 3*s - 2. What is g*v(u) + 5*d(u)?\nAnswer: -u**2 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o + 11*o + 38 = 3*k, 14*o + 9*k = 6*k + 86 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 357 and 13328.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**2\/5 - 2034228*v - 2586302222490 = 0 for v.\nAnswer: -2542785","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25219 + 109181 = 2245*n - 5*n for n.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, m: 1, y: 3, z: 3, w: 1}. Give prob of picking 1 w, 1 z, and 2 p.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6409257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/11656 and 83\/2256.\nAnswer: 69936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/15, 946, -5\/3027?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -133 - -180 - (8 + 1 + -1).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 53\/809 in 4, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**3 - 7*w**2 - 19*w + 17. Let f be a(8). Suppose -f = -10*m - 121. What is the highest common factor of m and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 232 = -4*w, 4*w + 467*t - 225 = 472*t. Let y(f) = f**2 + f + 35. What is the remainder when w is divided by y(0)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(121)*4)\/(-1*sqrt(99)))**2.\nAnswer: 704\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -179.6 - -180. Let g = 1857 - 1861. Sort g, o, -1\/6 in decreasing order.\nAnswer: o, -1\/6, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*sqrt(153) + (sqrt(153) - (-2*sqrt(153) - sqrt(153)))*-3)\/(-4*sqrt(81) + sqrt(27)\/(sqrt(3)*-2)).\nAnswer: 34*sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 177926322?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-84)\/8*306\/5355.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-3)*(14595\/(-14))\/(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 4, 1672, 0 in increasing order.\nAnswer: -12, 0, 4, 1672","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 divided by 1.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -493.06 + -0.559\nAnswer: -493.619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - -5. Let n = -15 + o. Suppose 0 = -n*a + 462 + 345. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -12\/31 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1347 - 0.1?\nAnswer: -1347.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, j: 6, q: 1, t: 3}. What is prob of sequence jcq?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 3*n + 6*n)*(2 - 3 + 2*n - 5).\nAnswer: 10*n**2 - 30*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - 12 - (7 - 13)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/21693 and 58\/10676055.\nAnswer: 74732385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 4*z - b + 7 = 0, -3*z + b = -7. Let d(y) = -y + y**3 - 3*y**z + 2 - 3*y + 4 - 4. Give d(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1015\/12 - -551\/6. Calculate the common denominator of o and (19 - 16) + (160\/(-6) - -2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -0.143961.\nAnswer: -0.431883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8690 is divided by 496.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 4, 15\/6299, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 1 + -2 + 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(0 + sqrt(343)) + 1 - (-2 + 6*(sqrt(252) + -3 + sqrt(252))))**2.\nAnswer: -4788*sqrt(7) + 91413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 1:35 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 648 + -353. Is p bigger than 296?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4069.\nAnswer: 13, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46854660.\nAnswer: 2, 3, 5, 211, 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 5*y + 3. Let v be l(-5). Suppose 4*c - 13446 = -2*h + 5886, -v*c + h + 14509 = 0. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a week in minutes?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15105.3 months to years.\nAnswer: 1258.775","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Express (5*z**2 + 2*z**2 - 4*z**2)*(2 + 3 - 3)*(-2*z + 6*z - 2*z) in the form w*z + q + u*z**2 + g*z**3 and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110 - -101100000111110?\nAnswer: 101100000101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 366656*f**3*p**2*x - 332*f**3*p**2 - 36977*f**2*p**2 - 13*f*p**2*x wrt x.\nAnswer: 366656*f**3*p**2 - 13*f*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 * 42.\nAnswer: -2.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 3*d + 3 + 4, 3*l = 2*d + 22 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-7)*v\/v**7*v**(-5)*v*v*v*(v\/v**(-6))\/v)\/((v*(v\/(v\/(v\/(v**(-1\/4)*v)*v*v*v)))\/v)**(-9\/4)*(v**(2\/5))**(-3\/8)) assuming v is positive.\nAnswer: v**(-123\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 1551*f**3 - 39*f**2 + 10*f - 6. Let i(r) = 3*r**3 + r**2 - r - 1. Let y(v) = 6*i(v) - k(v). Find the third derivative of y(c) wrt c.\nAnswer: -9198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 4 = 3*w + 19, 4*x - w - 12 = 0. Let i be x + -2 + 1 + 0 + 3. Suppose r = -5*v + 74, 0*r - 4 = -r. Solve b + t = 3*b, -t - v = i*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 824, 819, 810, 797, 780?\nAnswer: 759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13922319\/2 or 6961161?\nAnswer: 6961161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-506)\/121 + 10*(-2)\/(-110). Which is smaller: t or -362?\nAnswer: -362","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1692, 3456, 5230, 7020, 8832?\n\"Answer: p**3 - p**2 + 1760*p - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = d - 1, 13290 = 4*i + 5*d + 13294 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -m**4\/24 - 4*m**2. Let p(v) = -v - 2. Let f(a) = 4 + 3*a + 5 + a. Let q(o) = -2*f(o) - 9*p(o). Calculate w(q(y)).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + 1)**2*2 - (sqrt(162) - (sqrt(162) - (1 + sqrt(162) + 2)**2)).\nAnswer: -18*sqrt(2) + 155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - 1. Let p = 3 + g. Let a = 10 + p. 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 remainder when 842060 is divided by 635?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -158, -102, 1 in ascending order.\nAnswer: -158, -102, -9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 2 - 3)*(d + 2*d - 5*d) - 2*d - 2 + 2 + (4 - 4 + 1)*(0 - d + 0) - d - d + 3*d + (1 + 2 - 4)*(0*d - 4*d + 3*d) to u + x*d and give x.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y = y + 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8451 - 8450.9999995958. What is s rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26693729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 91433, 91523, 91613, 91703?\n\"Answer: 90*n + 91343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13 - -126a?\nAnswer: 1257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.45 + -7.07. Let v = c - -4.5679. What is v rounded to 3 dps?\nAnswer: -0.052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 420 and 565005.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1378*m + 4789*m - 715372 = 0 for m.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11983273*k**3 - 11983279*k**3 + 23966561*k**3.\nAnswer: 9*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 0, 0.3, 0.5, 7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/((-121)\/22)*(-2)\/((-120)\/6)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29671717?\nAnswer: 997, 29761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 103, 204, 305, 406, 507?\n\"Answer: 101*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.23 - -0.24. Let z = t - -4.99. Let x = -0.1 - -0.3. Which is the third smallest value? (a) z (b) x (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 2*s. Let x be v(-3). Let q(i) = -i**3 - 5*i**2 + 8*i + 12. Let n be q(-6). Is (-29 - n)\/(x\/69) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 874, 1747, 2620, 3493?\n\"Answer: 873*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 743 divide 22271893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5250 = 240*c - 106*c - 152*c - 192*c for c.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + g - 272 = -268, -4 = 2*s + 5*g for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2982676, -2982659, -2982644, -2982631?\nAnswer: -2982620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 3*b - 219, 2*b - o - 46 = 101. Suppose -b*d = -73*d - 26. What is the first derivative of -17*h**4 - 31 - 31*h - d*h + 57*h wrt h?\nAnswer: -68*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -3733 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (4 - (-6 + 13))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of 0 + 0*z + 1\/8*z**4 + 7*z**2 + 0*z**3. Let p(a) = -5*a. Give i(p(y)).\nAnswer: -15*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 11 = -u + 9, 2*u + 15 = -5*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -78 - -129. Suppose 3*i = -2*t + 59, -5*i + 101 = -2*t + 6*t. Calculate the highest common factor of i and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 571045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3552092? (a) -1\/10 (b) 0 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -30 - -38 - (1 + 1 + (4 - (2 - -23)))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -185 + 167 + (4 - 2) + 36.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(960) + 5*(sqrt(960) - sqrt(960)*-1))\/(-5*sqrt(108) + sqrt(108)*-5))**2.\nAnswer: -88*sqrt(5)\/15 + 664\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -m + 2*g, -33 = -5*m + 5*g + 7. Solve 3*v + 5 = -m for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 374254*l**3 + 544822*l.\nAnswer: 2245524*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8266, -33054, -74366, -132202?\nAnswer: -206562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 4192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 1\/5, 8319, 4, 39\/4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2372*p + 10894 + 27058 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/24)\/(4\/(-4))*0. Suppose 14*k + 13*k - 162 = z. Solve 0 = k*l + 21 - 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**5\/5 - 18588*m**4\/5 - 74372*m**3\/5 - 111568*m**2\/5 - 74382*m\/5 - 18596\/5 = 0?\nAnswer: -1, 9298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (8\/40)\/((-4)\/(-10))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 563 + -571. Is 13214\/g*(7 - 11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d. Let w be z(3). Suppose 5*x - w = 7. Suppose 4*i - 42 = -r, 3*i - x*r + r = 28. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**3*l*t**3 + 2*b**3*t**3 + 737*b**3 - b**2*l*t**2 + 352*l*t**3 - t**2 wrt t?\nAnswer: -6*b**3*l + 12*b**3 + 2112*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12, -1, -26, -69, -136, -233, -366?\n\"Answer: -y**3 - 6*y + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0549 and -0.2.\nAnswer: -0.2549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2697, 2671, 2631, 2571, 2485, 2367?\n\"Answer: -p**3 - p**2 - 16*p + 2715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -513\/85, -3, -2\/9, 0.3.\nAnswer: -513\/85, -3, -2\/9, 1\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1304*x = -54682 + 3265 - 20303 for x.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 1756 = 5677. Suppose -2*j + 7*j + 1559 = 3*i, 0 = j - 4*i + 322. Let a = j + m. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68312739.\nAnswer: 3, 11, 2070083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -12. Suppose b - 484 = -3*b. Calculate the highest common divisor of b and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k - 63 + 13 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*q + 4476 - 9022 + 37*q + 4546.\nAnswer: 26*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2541\/70)\/(-33) - (-2)\/20. Let h(v) = -2*v**3 - 3*v**2 + 2. Let d(o) = -o**3 - o**2 + o. Give s*h(j) + 3*d(j).\nAnswer: -j**3 + 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 3*n**2 + 3*n + 13. Let y(a) = -a**2 + 3. Let x be y(2). Let g(i) = i**2 - i - 1. Calculate x*l(d) - 3*g(d).\nAnswer: -d**3 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/3*(-301)\/((-309729)\/(-14112)).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/8 + 345*a**3\/8 + 5053*a**2\/4 - 7410*a.\nAnswer: a*(a - 5)*(a + 38)*(a + 312)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 8:27 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 261.6628 grams to nanograms.\nAnswer: 261662800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -747000 to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 323*o**2 - 486*o**2 + 484*o**2 + (-3*o + 2*o + 0*o)*(2*o + 4 - 4) - 4*o**2 + 14*o**2 + 9*o**2.\nAnswer: 338*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00091609977 to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 25, 23, 7, -29, -91, -185, -317?\nAnswer: -493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14803 - 44405\/3. Let j be (2\/(4*2))\/1. What is the biggest value in 1\/3, j, v, 2\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -47, 3\/4, 0.3, 0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -81572*b. Let a(f) = -2*f**2. Determine y(a(m)).\nAnswer: 163144*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15)\/(-21) - (-10)\/35. Solve m - 16 = 3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffqqofqloftqlqlqfl. What is prob of picking 1 q and 1 f?\nAnswer: 21\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s + 25, 2*s + 32 = -4*h + 22 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h - h + 2 - 52*h + 0.\nAnswer: -57*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + 19*r - 42. Let m be w(-21). Which is bigger: m or -5\/16?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/(-2))\/((-39)\/6). Which is smaller: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z + 14. Let x(c) = 7*c**3 + 2*c**2 + 5*c + 3. Let y be x(-1). Determine i(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13593013 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 191468639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 859, 1756, 2663, 3586, 4531?\n\"Answer: q**3 - q**2 + 893*q - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 9 = 2*i - 3, -6*z + 10*z - 9*z + 1287*i = -z - 3861 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 5 - 5)*(2*p**2 + 2*p**2 - 6*p**2).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/4)\/((-1)\/8). Let r(k) = -5*k - 24. Let y be r(b). Calculate the remainder when 29 is divided by 3 + (y\/(-21) - (-602)\/49).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.08831 hours in microseconds?\nAnswer: 108317916000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 34*m**2. Let i(p) = 2*p - 19. Let n be i(11). Let b(c) = -n*c + 10*c - 4*c - 2*c. What is z(b(g))?\nAnswer: 34*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144045 is divided by 23983?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4717049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7111.016cm to micrometers.\nAnswer: 71110160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - ((-48 - -18 - -44) + (45 - -4))?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.672 - -6.4. Let b = x + 0.286. What is b rounded to 3 decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 110 + -105. Solve -2*s - l*z = -14, 3*s = -0*s + z + 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 6*c**2 - 9*c + 6. Give u(3).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l. Let s(p) = -5*p. Let t(f) = 3*d(f) + s(f). Let o(z) = -2*z + 19. Determine t(o(b)).\nAnswer: 4*b - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1388947.4 + 1388949.5599866. Let j = -2.16 + d. Round j to 6 decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + -2)*23 + -2. Let u(l) = -n + 129*l - 21 + 40. Let d(y) = -y. Give u(d(q)).\nAnswer: -129*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 45*b - 173. Calculate x(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/(-20))\/((-2)\/(-10)). Suppose w*f = f + 8. Suppose f*i + 4*j + j = 1093, -15 = -3*j. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-15)\/3)\/((-3)\/(-6)*-2). Suppose -4*v + i*g - 80 = v, -v - g = 24. Do -20 and v have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 415 (base 8) in base 7?\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, w: 3, x: 1, n: 1, h: 2, r: 2}. Give prob of sequence wnw.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39016934 and 17734970?\nAnswer: 195084670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)*2*3)\/(sqrt(35)\/(sqrt(7) - -1*sqrt(7)))*6.\nAnswer: 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9777303 = -3*c - u - 9777294, 2*c - 18*u = 47*u - 191 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 (base 12) in base 4?\nAnswer: 11232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*x + 148*x - 297 = 0 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -95 + (180 - 66) - (38 + -1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 8*d + 12. Let k be m(-4). Let c(h) = -h**3 - 3*h**2 + 4. What is c(k)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 8*p**2 + 292*p + 62. What is the remainder when g(29) is divided by 70?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -246*w + 301*w - 182*w as d + f*w and give f.\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2058*n**2 + 1829233 - 1829233 + (-n + n - 2*n**2)*(-5 + 2 + 4) - 9*n - 2*n**2 + 9*n.\nAnswer: -2062*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -24 + (18 - 11) + 0 + 14 + -1 + 129\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84295239 and 735?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88 and 3256.\nAnswer: 3256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 45859?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-13)*b**(1\/22) assuming b is positive.\nAnswer: b**(-285\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/8, 5\/6, -67, -1\/3, 4, 36?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/2 - 64211*o\/2 + 417287.\nAnswer: (o - 64198)*(o - 13)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*f*r**4 - 1778*f + 72*r with respect to r.\nAnswer: 32*f*r**3 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 r, and 1 t when four letters picked without replacement from ytroeyessssr.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -4*m**2. Let p(r) be the first derivative of 0*r - 4\/3*r**3 - 28 + 0*r**2. Calculate t(p(a)).\nAnswer: -64*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1356\/197 (b) -5 (c) 23 (d) -3\/11 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1047 - -1399. Calculate the remainder when s is divided by 117.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259*y + 139526 - 143152 = 0 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i + 2*i**3 + 9 - 4 + i in the form f + y*i**2 + z*i**3 + x*i and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 2*l = -66, -o + 4485*l - 4405*l = -255 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 92*i*m*v**2 - i*m - 106*i*v**3 - 2*i*v**2 + 2*i*v + 35326*m*v**3 + 136870*m*v + v**2 wrt v.\nAnswer: -636*i + 211956*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 274, 124, -214, -812, -1742?\nAnswer: -3076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 minus -119?\nAnswer: 119.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225 + 105 = -6*c. Which is greater: c or -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u**2 - 16*u - 10. Let i be s(7). Let z(j) = -i*j - 5 + 21 + 14 + 10. Is 21 a factor of z(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 15, 7, 2, -58 in ascending order.\nAnswer: -58, 0, 2, 7, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -904890980 divided by -90489098\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-7)\/(i**(-7)\/i*i))\/(i\/(i**9\/i)*i**11\/i) assuming i is positive.\nAnswer: i**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -h**4 - 12*h**3 - 19*h**2 + 12*h + 20 = 0?\nAnswer: -10, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100 and 1725.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59*t - 14*t + 1 + 34*t - 5 + 17*t to the form i + s*t and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, b: 10, n: 2, m: 2, g: 2, o: 2}. Give prob of sequence bo.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**2 - 43*u - 22. Determine j(13).\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 4090\/16639?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47*p**3 + p + p**4 + 45*p**3 - 3*p**4 + p to the form f + i*p + v*p**2 + o*p**3 + r*p**4 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -40*b**3 - 2*b**2*u**2 - 109*u**2 wrt b?\nAnswer: -120*b**2 - 4*b*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298457732?\nAnswer: 2, 811, 92003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g - 3 + 3 + 0*g + (-2*g - 2*g + 6*g)*(68 - 35 + 30).\nAnswer: 124*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqjjj. Give prob of picking 2 j and 2 q.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 836*d**4 + 3*d - 3*d**3 - 415*d**4 - 6*d + 4*d - 417*d**4 + 1 + d**2 to the form c*d**2 + b + f*d + q*d**3 + i*d**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 117 - 86. Let m = 62 - j. Calculate the remainder when 88 is divided by m.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 2) to base 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2152 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: How many decades are there in 1\/5 of a century?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2448.3 + 2448. Which is the nearest to -5? (a) -9 (b) k (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.1803 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1232 and 162932.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*x + 2. Which is smaller: 7 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2*(sqrt(189)*2)\/(-1*sqrt(28)).\nAnswer: -5 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 5*t**2 + 4. Let j be f(-5). Suppose j*g - 14 = 86. Is g a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 44 = c, -5*h + 362 - 411 = -4*c. Sort 4, c, -7472 in descending order.\nAnswer: 4, c, -7472","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*c - 34*c - 4 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -153, 4\/9, 0, -45, 0.1 in increasing order.\nAnswer: -153, -45, 0, 0.1, 4\/9, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*o = 0. Let a be (-1)\/((1 + o)\/(-3)). Suppose 1 = 2*k - a. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29)\/(319\/11)*1\/((-1)\/(-30))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 9*j + 14. Let o be (4\/(-10))\/(2\/(-50)). Let y be r(o). Solve -z + 12 = -y*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 750 and 10800?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -2*c + 8, 0 = 4*c + 19*y - 2414 + 2432 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-4))\/(5*(-90)\/(-400))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*l = 2*l - 75 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (sqrt(2736) + -3 - sqrt(19) - sqrt(19))) + -5 + ((sqrt(2299) - (sqrt(2299) + 1)) + -5 + sqrt(2299) + sqrt(2299))**2.\nAnswer: -273*sqrt(19) + 9230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*g + 135 - 863 = 33*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/70 and 151\/60.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1794 + 3554. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 2 = -t. Let d be (1 + -2)*1*0. Let z be (2 - 3)*(d + t). Solve j - 1 = z for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) -4\/3 (c) 0.5 (d) -6\/11 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(194532\/(-4176) + (-2)\/(-24))\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (1 - (5 - -5 - (10 + -2 - 4)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5*s - 3*s = -59469, 2*w - s - 39646 = 0. List the prime factors of w.\nAnswer: 43, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 500\/(-16) - (-172 + 143).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3168.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -3. Let d = s - -5. Suppose -d*q - 5*o + 8 = 148, 5*o = 5*q + 175. Round q to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 12, 5, 1\/4, 66?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -2*a - 3*a. Suppose t + 2*n + 0 = 10, 10 = 5*t + 2*n. Solve a*x + 0*x = t for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s**3 + 6*s**2 + 3*s + 6. Let v(k) = k**3 + 4*k**2 + 2*k + 5. What is 6*o(x) - 9*v(x)?\nAnswer: 9*x**3 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 + 16 + -29 + 32 + 44?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-14))\/(3*(-1)\/((-66)\/1)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.834 to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.2, 2, -0.07, 3 in descending order.\nAnswer: 3, 2, 0.2, -0.07, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*q**4 - 206658*q**3 - 180195312*q**2 - 52367646080*q + 3978329088 = 0 for q.\nAnswer: -872, 6\/79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 37651199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 + 4)*(4 - 2 + 0)*(2*v**2 - 7*v**2 - v**3 - 3 + 6) in the form p + r*v**2 + z*v + j*v**3 and give r.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 2:41 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-100)\/(-560)*-4)\/1.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*l - 31*l + 181*l - 30*l - 29*l - 29*l.\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1867 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27472\/16 - (4 - (-2 - -3)) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 6*n + 10. Let u be y(7). Let z = -96 + u. Solve -3*j + z*m - 4 = j, 3*j + 4*m - 28 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 32 = -4*n + 2*p, -57 = -2*n - 3*p. Suppose 3 = -4*d - n. Let t = 49 + -38. Let z(j) = 7*j. Let r(k) = 4*k. Determine d*z(c) + t*r(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -8*l. Let r(f) = f**2 + 16*f. Let m(n) = 3*r(n) + 5*x(n). Let q(z) = 2*z**2. Give q(m(c)).\nAnswer: 18*c**4 + 96*c**3 + 128*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 31.427501 to 2 decimal places.\nAnswer: 31.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.7 and 688246?\nAnswer: 688247.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-369)\/(-15) + 2\/5. Suppose -5*n - b = 0, -3*n = r - 0 + 2. List the prime factors of r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -50*u**2 + 5601*u + 70. Determine t(112).\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2245349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7551, -14328, -21105, -27882, -34659?\nAnswer: -41436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4108 is divided by 49.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z**2. Let g(o) = 155379492*o**2. Calculate g(n(i)).\nAnswer: 1398415428*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 243*z + 194*z - 56*z + 66*z - 89*z to the form c*z + o and give c.\nAnswer: 358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/18 + 18\/(-33) + (-359160)\/21681.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - t - 1. Let g(a) be the third derivative of 0*a - 2\/5*a**5 + 0 + 2\/3*a**4 + 18*a**2 + 10\/3*a**3. Let p(k) = 20*d(k) + g(k). Factor p(n).\nAnswer: -4*n*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + b**2 + b + 1. Let k(t) = t**3 + 20*t**2 - 21*t + 6. Let m be k(-21). Let x(l) = l**3 + 6*l**2 + 6*l + 6. Give m*j(n) - x(n).\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 6*f**2 + 91*f - 68. Let k be p(-16). Solve 2*b + 16 = k for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**2 + 58*x + 6. Determine w(29).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1228, -1293, -1342, -1369, -1368, -1333?\n\"Answer: o**3 + 2*o**2 - 78*o - 1153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/5 in -5, -0.1, 2, -633?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 11:08 PM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -12 - 545*i + 540*i - 33. Let l be q(-9). What is the units digit of 10 + 201 - l\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 111594 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(1\/5)*b*b)\/(b**8*b))\/(b**(1\/10)\/b**(-3\/5)))**(-16\/7) assuming b is positive.\nAnswer: b**(120\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34 - 25. Suppose -8*b + 2*s = -4*b + 34, -27 = 2*b - 3*s. Let m = t + b. Solve -5*g + 0*g + 2*y = 15, 0 = g + 2*y + m for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of 121*t**6\/30 - t**5\/10 - 35*t**4\/6 - t - 7. Find the third derivative of x(i) wrt i.\nAnswer: 2904*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-26094)\/(-5) + 10*(-10)\/125 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 54*o**2 + 710*o + 83. Give w(31).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 s, and 1 d when three letters picked without replacement from {t: 1, o: 1, f: 2, s: 1, j: 1, d: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 + 174 = 5*c - 4*i, 2*c - 2*i = 52. Calculate the remainder when 162 is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**4\/7 - 26*z**3\/7 + 100*z**2\/7 - 64*z\/7 - 192\/7 = 0.\nAnswer: -1, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + q + 2160 = 52*q. Let x(f) = -f**3 + 47*f**2 + 49*f - 49. Calculate x(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/5 of a decade?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 13*t + 11*t + 10182, -2*p - 4*t = -5100. Let v = -463 + p. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of 0 + 0*y + 14*y**2 + 1\/24*y**4 - 1\/6*y**3 + 1\/60*y**5 - 1\/120*y**6. Let x(p) = 0. Calculate p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((5535\/2665)\/(6\/39))\/(-3 - 0)\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2173105 + 1513105. Round x to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 5*s + 26 + 55, -f + 20 = s. Let p be (6 - 4)*(-1)\/f. Is p not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000287 rounded to five decimal places?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 23226 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/sqrt(4) + -4)**2 + -2.\nAnswer: -8*sqrt(5) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.25 + 0.05. Let q be -3 + (-11)\/4*-1. Which is the nearest to 2\/3? (a) -3 (b) q (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*a**3 - 25*a**3 - 27*a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a litre in millilitres?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -230*t. Let w(o) = -2*o + 15. What is n(w(v))?\nAnswer: 460*v - 3450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -43, 0.1, 0, 66, -2\/3, -2.87?\nAnswer: -2.87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1668, -3333, -4984, -6615, -8220, -9793, -11328, -12819?\n\"Answer: o**3 + o**2 - 1675*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28024817?\nAnswer: 29, 966373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 63.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/42)\/2*165\/(-330)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**2*s)**(-32)*s**4\/(s**2\/s) assuming s is positive.\nAnswer: s**(-93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -174, -386, -672, -1026, -1442, -1914, -2436?\nAnswer: -3002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 203495, 203488, 203481?\n\"Answer: -7*u + 203502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (89\/(200161\/(-38060)))\/(4\/(-26)).\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-78)\/(-15) + -6 + 10. Let i = u - 53\/5. Let v = 1 + -0.5. Sort v, i, -2\/13 in descending order.\nAnswer: v, -2\/13, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/5*(-187 - -183).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3795, -7586, -11377, -15168?\n\"Answer: -3791*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 times -4582?\nAnswer: -504.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 4*v - 96318, 0 = -5*v + 114*g - 117*g + 120357. List the prime factors of v.\nAnswer: 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*-0.04047\nAnswer: 0.20235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -98310 rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -7*j**3 + j + 2. Let s be w(-2). Which is the third smallest value? (a) s (b) -0.4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in sixty-nine halves of a kilogram?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -214\/7 (c) 15\/46 (d) 5\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -59*n**2 + 8 - 12 - 25 + 61*n**2. Calculate v(6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -452 + 504?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 140314396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44 + -5. What is the remainder when a is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from ddzdvzr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from uiiiuuiuuuiuuuuu.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29487.\nAnswer: 3, 9829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 98 + -98. What is the units digit of l + (-237)\/(-5) + (-2)\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38\/9 - (2 - -2)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(512))*6)**2.\nAnswer: -2304*sqrt(2) + 18576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -52? (a) 3\/4 (b) 0.4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-2 + sqrt(50) - sqrt(50)))**2 + sqrt(50).\nAnswer: 1 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2044000 divided by -2044000\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2, 0.051, -3\/14, 0.2, -0.1.\nAnswer: -3\/14, -0.1, 0.051, 0.2, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 507 is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 16 = v, 3*l - 6 - 22 = -4*v. Suppose -l*d + 144 = 2*z - 8*d, -z = d - 66. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 7 = -5. Let n(f) = f**2 - 2*f + 1. Let g be n(0). Which is the third biggest value? (a) g (b) 3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1459501*h**3 - 569910 wrt h.\nAnswer: 4378503*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -7*g**2. Let v(p) = -6529*p + 3267*p + 15 + 3264*p. What is v(z(y))?\nAnswer: -14*y**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*v + 114 = 2*p, -4*p + 3*v = -387. List the prime factors of p.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 8:36 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 2\/231?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 2*w + s - 18, 2*w = -3*s + 18. Let a = -212 - -303. Let v = a - 77. Calculate the remainder when v is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f - 4*p = -48, 4*f - 381*p + 753*p - 377*p + 32 = 0 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 652*q + 178001. What is f(-273)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -807648 + 3665*g**2 + 807648 + (g - 3*g + 0*g)*(-g + g - g) in the form i + p*g**2 + l*g and give p.\nAnswer: 3667","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**2 + 23388*o + 45583212 = 0 for o.\nAnswer: -3898","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 108 - 179. Are a and -4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that f**2\/7 + 5587*f\/7 - 16770\/7 = 0.\nAnswer: -5590, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 210143.922 rounded to the nearest ten?\nAnswer: 210140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22654383 to the nearest integer?\nAnswer: 4760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 615 + -627. Let d be (a\/(-192)*4)\/(1\/16). Solve 0 = -n + 5*u - 1, 2*n - d*n + u + 7 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52406 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5968 = -5*f + 6422. What are the prime factors of f?\nAnswer: 2, 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502.56 less than 0.3?\nAnswer: -502.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.06 - 0.14. What is the closest to -3 in -0.1, t, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 855.0194l in millilitres?\nAnswer: 855019.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/83 in 0.5, -0.7, -8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -179*m - 6. Let d(a) = -179*a - 7. Let q(i) = 5*d(i) - 6*x(i). Let u be q(-1). Let n = -91 - u. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gwwrwrrgggdgwdg. What is prob of sequence ggw?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d - 18. Let n be q(7). Suppose 3 = 3*k + n*x - 0*x, -3*k + 2 = 4*x. What is the derivative of -y + 13 + k*y - y + 2*y wrt y?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence svls when four letters picked without replacement from llsljsvsll.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-7\/3)*c))**13 assuming c is positive.\nAnswer: c**(91\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14964 + 22032. Is 114 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = l + 8, -3*l + 16 = -2*l + 5*j. Let p be ((-3)\/2)\/((-9)\/12). Find the first derivative of l - 2*c**p - 2*c**2 + 3*c**2 + 2*c**2 wrt c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -587 - -608. Does 19 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 778886, 1557756, 2336614, 3115454, 3894270, 4673056, 5451806?\n\"Answer: -z**3 + 778877*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, v: 9}. What is prob of sequence uvvu?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(2\/25)*c)\/(c**1*c))**(-43) assuming c is positive.\nAnswer: c**(-86\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-3) - 2)\/(10\/20). Sort -3, -5, k, 1 in ascending order.\nAnswer: -5, -3, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9640548?\nAnswer: 2, 3, 281, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 b when two letters picked without replacement from cpbtzcpbzpbbzpbb.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-11152)\/156 + 2\/6. Let d = a - -71. Which is greater: 0.1 or d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2364\/197*3\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 143866925?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 1002200012001111?\nAnswer: 1002200012001121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 4*c - 32, 3*o - 2 + 14 = 0. Let a(z) = z**2 - 3*z - 2. Let j be a(c). Suppose j = -l + 2*l. Calculate the least common multiple of 7 and l.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -105 - 286. Let s = -234 - k. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 14087599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 67812086 to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -13*b**5\/5 + 103*b**4\/12 - 8385*b**2\/2 - 2013*b - 1. Differentiate w(a) wrt a.\nAnswer: -156*a**2 + 206*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -869412*i + 869412*i - 3 + 6*i**3.\nAnswer: 6*i**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(2299)*4*5.\nAnswer: 220*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + 0.088.\nAnswer: 0.488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -4. Let a(k) = -3*k + 12. Let v be a(4). What is the closest to l in -0.3, 0.1, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -8*t - 19. What is the remainder when b(-7) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.1549 rounded to 2 dps?\nAnswer: 8.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (46 - 3) + (-4270 - -4151)\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 + -21.3. Let i = o + 22.4. Sort i, 5, 0.3 in ascending order.\nAnswer: 0.3, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3453*y. Let o(l) be the first derivative of l**2 - 6071. Give b(o(p)).\nAnswer: 6906*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35 by 6.\nAnswer: 35\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*f - 7. Suppose 5*h = -2*k - 20, -167 + 159 = -k + 2*h. What is the closest to 0.1 in k, 0.1, f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29254145.\nAnswer: 5, 53, 101, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 37 - 8*i - 37 - i - i + 3*i + 0*i + i - 2*i + (0 + 0 + 1)*(2 - i - 2) + 0*i - i - i + 1 + 2*i - 1 + 2*i + 4 - 4 + 3 - 3 - 2*i + 1 as o + a*i and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -1158*i - 48. What are the prime factors of f(-1)?\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30*g**6 + g**4 - 454*g**2 wrt g?\nAnswer: -3600*g**3 + 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + y + 0)*(2*y + y - y) + (-11*y - 2*y + 5*y - 3)*(5*y - 4*y - 2*y).\nAnswer: 10*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 15\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 395 a factor of 3932820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 3*v - 4*v)*(-4*v + 2 + 2*v + 1).\nAnswer: 2*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 52\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of c**5\/10 + c**4\/4 + c**3\/2 + 3*c**2\/2 - c. Let q(l) = l**3 - 20*l**2 + 19*l - 2. Let w be q(19). Give x(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**2 + 3*a - 2. Let d be (-26)\/8 - (-2)\/8. What is l(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = r - 8. Calculate the smallest common multiple of r and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 859*x**3 - 441*x**3 + 2*x - 369*x**3 - 3.\nAnswer: 49*x**3 + 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 3*r + 4, -4*i = -4*r + 284. Let d = i - -85. Find the common denominator of (d\/(-75))\/(9\/330) and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6304882 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1743 is divided by 46.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 * -0.39.\nAnswer: 5.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -28, -56, -90, -130, -176, -228, -286?\n\"Answer: -3*i**2 - 19*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/9 and -5\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of 12*y**2 + 0 - 1\/24*y**4 + 1\/6*y**5 + 0*y + 4*y**3. Is d(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 8:07 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p - 8. Let m be f(15). Let o = m - 22. Suppose 0 = 18*l - o*l - 156. What are the prime factors of l?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**4\/4 - 17*p**3\/4 + 21*p**2\/4 + 9*p\/4.\nAnswer: p*(p - 3)**2*(3*p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + 655 + 1 + -4. Suppose 4*o + 3*l + 0*l - 1336 = 0, 0 = -2*o + 3*l + b. Let d = o + 171. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41.676744 + 21.176651. Let p = 0.11 - -20.39. Let t = x + p. Round t to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -310621900 rounded to the nearest 1000000?\nAnswer: -311000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 155929\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 158, 155, 138, 101, 38?\n\"Answer: -o**3 - o**2 + 7*o + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((585\/(-20))\/(-13))\/(6\/2)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1788? (a) -0.7 (b) -0.4 (c) 0 (d) 1\/2 (e) -4\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - q = -2. Let o = q - 2. Suppose -2 = -o*w - w + 5*p, p = 4*w - 103. Is 18 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/4 + 169\/(-4368)*-4.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4420*l - 3*l**2 + 59*l**3 + l**2 - 4421*l + 1 + 17*l**3 to the form g*l + r*l**3 + i + q*l**2 and give r.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 7:56 AM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -0*t. Suppose -10*f = -9*f + 3. Let k be f - 12\/16*-4. Solve t = -k*b - 5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**2 + 15*z - 23. Let w be a(4). Suppose w*h = -4*n + 517, -3*n - h + 111 = -274. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z. Let x(o) = 10*o. Determine k(x(m)).\nAnswer: -30*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -248991400 to the nearest one million.\nAnswer: -249000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 20 = -5*g, g - 4*m = m - 30. Let q = 30.6 - 30.2. What is the biggest value in g, -0.4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12302331 (base 5) in base 10?\nAnswer: 119091","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-44)*(45 - (-5421)\/(-117))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-430)\/645)\/((-2)\/42).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1265220 and 5.\nAnswer: 1265220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8579 - 29305 = 246*s + 236*s for s.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, b: 1}. Give prob of sequence bjjj.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -143*k**2 - 33*k + 33. Let i(s) = 22*s**2 + 5*s - 5. Determine 33*i(c) + 5*t(c).\nAnswer: 11*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 35930 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/(-12)*(0 + -2)\/6. What is the nearest to a in -3, -0.5, -7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36442095 divided by -3.\nAnswer: 12147365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.3, -71.3, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*k = -f + 186, -60 = -f - 2*k. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 37349 + a?\nAnswer: 37356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nhhpn. What is prob of sequence ph?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*c + 6051*c**2 + 38*c.\nAnswer: 6051*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 4:42 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/5 (b) -0.5 (c) 3 (d) 0.5 (e) -2 (f) -36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + o + 15 = -o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (19 - 15) + -66 - -45\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -26*w. Let m be a(-1). Let f = m + -15. Solve -4*i + 3*p = f, 2*i - p + 6 = p for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*2\/6*(1 + -2). Let l = 5 - 3. Let w = 2 + l. Which is the third smallest value? (a) w (b) x (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 134557264?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 15 = -4*t. Suppose 0 = -5*g - p, g + t*g = 2*p - 14. What is the second smallest value in g, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1930*k + 1880*k + 405*k.\nAnswer: 4215*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*i + 46*i = -40 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 982*g**2 - 1965*g**2 - 2*g - 6 + 982*g**2 + g. Let q be 30\/5*2\/6 - 2. What is m(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5*17\/((-85)\/(-6)))\/((-78)\/(-6))\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 0*b - 5*b)*(32*b**4 + 26*b**4 - 65*b**4).\nAnswer: 21*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*u + c + 43 = 0, -4*u + 3*c + 41 = 0. What is the greatest common divisor of 12 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*g**2\/5 + 111*g\/5 - 36\/5.\nAnswer: -3*(g - 12)*(3*g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/913 and 53\/3231024?\nAnswer: 35541264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-7))\/(4\/28)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + 173022.\nAnswer: 173021.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(12\/80*2). Let a be 40\/12*108\/f. Calculate the greatest common factor of 4 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2*((3*(sqrt(95)*-1 + sqrt(95)))\/(sqrt(45)*-6) + 0))**2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7293\/27)\/13 - (-16)\/72.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -3*g - 4*j - 2, 0 = 123*g - 129*g - 3*j + 30 - 21 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*(5\/20)\/((-5)\/(-10)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 461, 918, 1375, 1832?\n\"Answer: 457*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 193981867 and 139?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 728086*s**2 + 355924.\nAnswer: 1456172*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3409, 6778, 10121, 13438, 16729?\n\"Answer: -13*s**2 + 3408*s + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 85*q + 13. What is the remainder when b(2) is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - y**2 + 2)*(-2*y**2 - 127*y - 2 + 6 + 143*y) to k + f*y**2 + c*y**3 + h*y**4 + b*y and give c.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*a - 15*a = 70. Is -3 + (a - 8755\/(-5)) 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 74968, 74938, 74908?\nAnswer: 74878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.619 - 226.619. Are b and 0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**4\/19 - 1702*f**3\/19 + 174054*f**2\/19 - 4407418*f\/19 - 20523976\/19 = 0.\nAnswer: -4, 59, 737","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 108*w**2 - 134?\nAnswer: 216*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80210 and 304798?\nAnswer: 1523990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 264478657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*i + 36. Let k = i + 41. What is the highest common factor of 5 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*k + 5 = 31 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2406 - 0.240617696. Round j to 6 dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 5*b - 87 = -74, -15 = -z + b. Suppose -p = -0*p - 2. Let d(j) = -p*j + 7*j - 2*j. Let w(a) = 8*a. Determine z*d(c) - 4*w(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - 0.0467616697.\nAnswer: -14.0467616697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16 or 380991?\nAnswer: 380991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-2\/3)*q))\/q*q**0\/q)\/(q\/q**(-3)*q**(-1\/4))*(q**(-1)\/(q**(-3\/2)*q))\/((q*q*q\/(q*q**(-6)))\/q*q\/q**(2\/7)) assuming q is positive.\nAnswer: q**(-1117\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of 253\/2*n**2 - 73 - 2*n - 77\/2*n**3. Differentiate u(r) wrt r.\nAnswer: -231","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -128, -338, -910, -2024, -3860?\nAnswer: -6598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 357 - 352. Let p(d) = -d**3 + 5*d**2 + 7*d - 2. Let l be p(6). Let b = 8 - l. Solve -5*i + 2*k - k + 19 = 0, -h*i + b*k = -16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 211 - 209. Let i = -3.1 - -3. Which is the third biggest value? (a) r (b) 2\/15 (c) i (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74673193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -159340 divided by 31868.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13516*a**3 - 40508*a**3 + 13307*a**3 + 13228*a**3.\nAnswer: -457*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**4 - 8*o**3 + 12*o**2 + 72*o + 54.\nAnswer: -2*(o - 3)*(o + 1)*(o + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 5053?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 20444*u - 43874*u + 3 + 11694*u to the form l*u + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, i: 3, p: 3}. What is prob of sequence pii?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -8*y**3 - 15*y**2 + 10*y + 15. Let t(h) = -7*h**3 - 13*h**2 + 9*h + 13. Let c(j) = 6*t(j) - 5*x(j). Calculate c(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25 - 2 + 0)*(2*h - 2*h + h) to k + r*h and give r.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -90689 - -10882819\/120. What is the common denominator of j and -149\/432?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -2 + 4 + -6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 163 in decreasing order.\nAnswer: 163, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 207976 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*v**4 + 2*v - 225 wrt v?\nAnswer: 8*v**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -47269979 take away 0.01?\nAnswer: -47269979.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1560\/48 + (45\/(-6))\/(-3). What is the greatest common factor of 1323 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 390902574 divided by 195451287?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -84 + 54. Let z = p + 38. Let r(u) = 3*u**2. Let n(m) = 10*m**2. Calculate z*r(y) - 3*n(y).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1149?\nAnswer: 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**2 + 48*q. Let f(d) = 2*d**2 + 23091*d - 23091*d. What is f(z(g))?\nAnswer: 8*g**4 - 384*g**3 + 4608*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 p when four letters picked without replacement from mmmjpjmppmddmz?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b + 11. Suppose -g = -v - 2 - 4, -g = 5*v. Suppose g*q + 11 = -19. Is 4 a factor of y(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 16) to base 4.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/((-204)\/8)*-15*48\/864.\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22030613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**1)**(1\/6)\/(i**0\/i**1))\/(i\/(i*i**(4\/5)*i)*i*i**(-3))**49 assuming i is positive.\nAnswer: i**(936\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/10)*((s*s**0)\/s)\/s)\/(s**(1\/4))**(-3\/5))\/(((s**(4\/3)*s)\/s**(1\/5))\/(s\/(s**(1\/2)*s*s*s)*(s\/(s*s**(-1\/4)))\/s)) assuming s is positive.\nAnswer: s**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.075147 and -1.\nAnswer: -0.075147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 30899999*n**3 + 3*n**2 - 2*n. Let i be g(1). Round i to the nearest one million.\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f**2 + 2*f - 2. Let w be 10\/(-6*2\/(-6)). Suppose w*i = 2*i + 6. What is the remainder when 54 is divided by o(i)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12*(-1)\/2*-1. Suppose -j + 3 = -h. Solve 0 = -2*w - 4*s - 14, -s + 0*s - 7 = -h*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -6*z. Let o(a) = -68*a - 78*a + 135*a. What is o(j(p))?\nAnswer: 66*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence drn when three letters picked without replacement from {n: 1, r: 3, d: 5, t: 3}.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 355*j**3 - 355*j**3 - 32*j**4 + (j**3 + j**4 - j**3)*(2 - 3 - 1) in the form u*j**3 + p*j + q + a*j**2 + w*j**4 and give w.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -55, -84, -111, -136, -159, -180?\nAnswer: -199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4*g - 14 = 0, l + 2*l + g - 31 = 0. Suppose -l*f + 7*f + 8 = 0. Calculate the remainder when 5 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -31670, -31106, -30162, -28838?\n\"Answer: 190*l**2 - 6*l - 31854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*k - 4*k - 4*k + 109*k**2 - 964*k**2 - 176*k**2.\nAnswer: -1031*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 6*k**2 - 12*k + 24. Let w be q(-8). What is the tens digit of (w - 9)*(0 + 8\/(-2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2105*f**6 - 16748*f**4 - 3*f**2 + 16748*f**4 + 274*f wrt f.\nAnswer: -252600*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1794200 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 498757, 498709, 498629, 498517?\nAnswer: 498373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14218*c - 44443 = 3591*c - 161340 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+2094780.7\nAnswer: 2094780.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6894 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 44*v**2 + 195*v + 8. Let g be r(39). Solve -11*j = g - 74 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17854417.\nAnswer: 7, 23, 43, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.1 - 3. Let q be -5*(-10)\/((-100)\/(-6)). Put 0.3, p, q in decreasing order.\nAnswer: q, 0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 186*u - 6878. Give t(37).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19737 = 12*a + 693. Let v = 2445 - a. List the prime factors of v.\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -145 - 326. Let i = o - -742. List the prime factors of i.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a + 98 = 5*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 12:43 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -390 + 394. What is the third derivative of 10*x**2 + 22*x**2 - 66*x**d + 48*x**2 wrt x?\nAnswer: -1584*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1876242 is divided by 22605?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 26133, 29.\nAnswer: 27, 29, 26133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 4*g**4 + 28*g**3 - 1304*g**2 - 2688*g = 0?\nAnswer: -21, -2, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) - sqrt(60)\/sqrt(4)*4)\/(sqrt(36)\/(sqrt(12)*-1) - sqrt(3)).\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3012, -3186, -3362, -3540?\n\"Answer: -z**2 - 171*z - 2840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 - 38. Is -12 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k. Let n be 4*2 + (23 - 28). Let f(t) = -t. Let y(a) = a**2 - 4*a. Let u(l) = n*y(l) - 12*f(l). What is u(h(x))?\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.41195 kilograms in grams?\nAnswer: 52411.95","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 8*c + 6. Let j be i(8). Suppose -10 = -j*p + p. Suppose -x - p*x = -216. Is x a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mv when two letters picked without replacement from {f: 3, v: 2, h: 1, m: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 + 114\/(-7) + 9. Which is the second biggest value? (a) k (b) 0.028 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 4*l**2 + 4*l + 1. Let g be f(-5). Suppose 32 = -g*y + 8*y. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t + 7. Let x be h(5). Let n(m) = 4 - 5 + x*m + 5. Let p be n(-6). Is p <= -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1542471676 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -104*r*w**3 + 14*r*w**2 + 4063*r*w - 2*r - 5*w**2 + 3*w wrt w.\nAnswer: -624*r*w + 28*r - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -224.856 - -225. Let a = 0.145688 - c. What is a rounded to four dps?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-45)*(-159)\/(-106)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19865459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**3\/3 - 28*b**2\/3 + 122*b\/3 - 56 = 0. What is b?\nAnswer: 3, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-1)*-13*57\/6916.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3131334 (base 5) to base 3.\nAnswer: -2122110102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 235632701 and 1186.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3967 - -2.\nAnswer: 3969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 22 - -2?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 14, -1, -30, -79, -154, -261, -406, -595?\n\"Answer: -c**3 - c**2 - 5*c + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.053 - -0.073. Let b = -0.352 - q. What is b rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63916.93291 rounded to the nearest integer?\nAnswer: -63917","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 62 - 70 - (-8 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 64 = 54. Suppose -u - 2724 = -x*p - 3*u, -1 = -u. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, h: 7}. Give prob of sequence hxh.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4160)\/102960)\/(4\/54))\/((-2)\/7).\nAnswer: 21\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*t + 242 - 4*t + 85*t.\nAnswer: -2*t + 242","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 4*i, -25*n + 6 + 25 = -5*i + 12 - 56 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 5*l + 0 = -2, 0 = 4*k - 2*l - 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 501894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 10*t - 4*t. Let w be (-12)\/(-3) + -4 + -1. Which is bigger: w or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1232009774.\nAnswer: 2, 616004887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 8 - 8, -2*d - 4*i - 14 = 0. Suppose 0 = 2*a - 0*u + 3*u + 9, -d = -2*a - u. Differentiate -15*s**4 + a + 4 - 14 wrt s.\nAnswer: -60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*(88\/64)\/11)\/(5\/(-260)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 4*v. Let f(s) = 2*s - 2. Let k(a) = -a + 1. Let n(q) = f(q) + 3*k(q). Let l be n(4). What is p(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 251901243.\nAnswer: 3, 11, 2544457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009025211 to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18184 - -26727. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3915, -3889, -3857, -3819?\n\"Answer: 3*k**2 + 17*k - 3935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(12)\/sqrt(4) + -3)**2 + -2*sqrt(432)*6.\nAnswer: -150*sqrt(3) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 15754362 divided by 78\nAnswer: 201979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 54282066 to the power of 1\/2, to the nearest integer?\nAnswer: 7368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -640, -2179, -5564, -11719, -21568, -36035, -56044?\nAnswer: -82519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2*sqrt(1088) + ((sqrt(1088) + 0)*2)**2 - 2*((sqrt(1088)*-2)**2 + sqrt(1088))*6.\nAnswer: -47869 - 80*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -522 rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/((-14)\/6 - -2). Suppose -s + o*s = 5. Let v(z) = -2*z**3 - z. Let j be v(s). Let q(k) = k**2 + k - 1. Determine q(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71059 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 10, w: 3, a: 1, h: 2, c: 3}. Give prob of picking 1 h and 1 c.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a. Let v(l) = -l - 1. Let z(t) = -4*t - 3. Let b be (-11)\/(-4) - (-3)\/12. Let d(y) = b*v(y) - z(y). Calculate d(n(j)).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*x + 8. Let o(m) = m**2 + 3*m. Let v be (-42)\/525 + (-1854)\/(-50). Let i(y) = v*y - 16*y - y**2 - 23*y. Calculate x*i(b) + 3*o(b).\nAnswer: -b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 22.2?\nAnswer: 22.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*y - b = -28*y - 2778, -1398 = -2*y - 5*b. What are the prime factors of y?\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 3, -24, -3 in descending order.\nAnswer: 18, 3, -3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 72 = 4*h. What is the highest common divisor of 9 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1056 divided by -2?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 equal to 112\/16735?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -37269216 divided by 20568?\nAnswer: -1812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 7:35 PM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 297046165597.74+0.4\nAnswer: 297046165598.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - 13\/(-5) - (-204)\/85. Suppose 5*h - g - 54 = -u*g, 3*h = 2*g + 26. Solve -s - s = -h for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1480811 + 59?\nAnswer: 1480870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 d when two letters picked without replacement from {f: 1, o: 2, q: 1, x: 8, d: 7}.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 3:15 AM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*l**2 - 462*l**3 + 17*l**2 + 24*l**2 - 122*l**2.\nAnswer: -462*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105044 is divided by 231?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 22391, 21326, 20261, 19196, 18131?\n\"Answer: -1065*q + 23456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10077.06282 rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 - 62 = -5*s. Suppose 5*k = -5*w, -3*w - 2*w = -3*k - s. Suppose -w*p + 7 = -3*g, -g = -4*g + p + 13. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -5*v + 1. Calculate u(-7).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1420406193?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + q**2 + 1. Let t(n) = -9*n**3 + 3*n**2 + 2*n + 5. Let d = -1 - -2. Let c(a) = d*t(a) - 5*m(a). Suppose c(o) = 0. Calculate o.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169 + 13 = -6*c. Suppose 21*s = c*s - 15. Suppose -j = s*j - 132. List the prime factors of j.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and 4.42.\nAnswer: 35.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2 = 10. Let f(z) = 61*z + 3054. Let m be f(-50). What is the highest common divisor of s and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11263 - -11427. What is the remainder when 181 is divided by g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 14*u**2. Suppose 126 = -16*s + 14. Let l(c) = -7*c**2. Calculate s*l(j) - 4*y(j).\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 5*y**2 - 7*y + 4. Let d(u) = -4*u + 6*u + 20 - u. Let q be d(-14). What is z(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 33 = -4*k. Calculate the least common multiple of k and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3907, 2709, 713, -2081, -5673, -10063?\n\"Answer: -399*x**2 - x + 4307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 244, -2578, 102 in descending order.\nAnswer: 244, 102, 3, -2578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 17)\/8*(-2)\/3*10\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 2:28 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -20352, -81550, -183546, -326340, -509932, -734322?\n\"Answer: -20399*k**2 - k + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -21*l. Let b(p) = -37537*p. Determine b(u(m)).\nAnswer: 788277*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2. Let d(r) = 49*r**2 + 9*r + 52*r**2 - 99*r**2 + 3*r. Give s(d(h)).\nAnswer: 4*h**4 + 48*h**3 + 144*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -2*v + 198, 4*y - 3*v - 203 = -0*y. Suppose 0 = 3*r - r - y. Let n = -87 + 92. What is the greatest common divisor of r and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3103*v**3 - 846*v**2 wrt v?\nAnswer: -18618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f**3 + 7*f**2 + 12*f + 7. What is n(6)?\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3132 divided by 3?\nAnswer: 1044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s + 29. Let o be k(12). Suppose -m - 10 = -r - 2*m, r + o*m = -6. Which is smaller: 13 or r?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1465 + 12.\nAnswer: -1453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 9. Suppose 2*a = 5*u + 4, 8*u - 3*u - 20 = 0. Let l be (-4)\/(-6) - (-64)\/a. Which is smaller: x or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3 + 3 + sqrt(176) + -2))**2.\nAnswer: 1152*sqrt(11) + 6912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 5*w + 465 = 0, 3*f + 76 = w + 335. Calculate the remainder when f is divided by 93*(4 + (3 + -25)\/(2 + 4)).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 g when four letters picked without replacement from {g: 3, m: 1, p: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*y - 4*j, 5 = -2*y + 3*y + j. Suppose 16 = y*w - 9. Suppose 0 = g - 0*g - 5*r, 2*g = -w*r. Solve g = -2*k - 2*k - 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -7*y**3 + y**2 - y + 1. Let q be z(1). Let i(x) = 2*x**2 + 3*x + 2. What is the remainder when i(q) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.32 + -6.32. What is the closest to -2\/7 in y, 2\/23, 4?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - f**2 - 5*f - 6. What is the lowest common multiple of i(-3) and 2?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*l - 0*l. Suppose v - 1 = y, l*v - 2*y - 29 = -3*y. Solve -v*r - 11 = 3*g, -4*r + 0*g + 4*g - 28 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 + -23. What are the prime factors of -13*(-7)\/((-7)\/y)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -302, 5, -881 in decreasing order.\nAnswer: 5, 0, -2, -302, -881","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*g + 375 = -694 + 205. Solve 12 = -6*w + g*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a660 + 2?\nAnswer: a662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqq. What is prob of picking 3 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 10*q + 162. Determine w(-14).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-2\/9)*m\/m**(2\/67)*m assuming m is positive.\nAnswer: m**(1657\/603)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 14, 40, 56, 56, 34, -16?\n\"Answer: -m**3 + m**2 + 30*m - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6308.271 microseconds to hours.\nAnswer: 0.0000017522975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3777*r**4 + 3588*r**4 - 167*r - 194*r wrt r?\nAnswer: -2268*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-512)\/320)\/((-8)\/(-10))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4748 and 4.\nAnswer: 4752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3577 (b) 2 (c) -5 (d) -3 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2396, 2556, 2682, 2774, 2832, 2856, 2846?\n\"Answer: -17*a**2 + 211*a + 2202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 380290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - l + 5*l)*(-2*l - 1 + 1) + 0*l**2 + 3*l**2 - 5*l**2 + (0*l**2 - 3*l**2 + 2*l**2)*(1 - 3 + 4).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 11:23 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 5:34 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(128\/(-88)) + (-175)\/(-30)*6?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.25 and 7.\nAnswer: 8.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oxxx when four letters picked without replacement from {o: 13, x: 5}.\nAnswer: 13\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 255*g + 262*g + 262*g - 1036*g + 259*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 plus -342.7?\nAnswer: -342.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 8043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 23 = r + 8, 4*d = -20. Let n(p) be the third derivative of p**4\/4 - 4*p**2. What is the least common multiple of r and n(1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((2 + -1)\/1)\/(-1). Let i be ((-240)\/35 + 6)*-7. Let x be (19 - i)*v\/(-6). Which is greater: x or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 2016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 33*t**2\/5 - 48*t\/5 + 3 = 0.\nAnswer: 5\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 10680 = -4*f, 3*f = 15*m - 12*m + 8010. What is the thousands digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -111, -230, -411, -678, -1055, -1566?\nAnswer: -2235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1*(8 + 1))\/((-21)\/14). Let x = 8 - y. Solve -x*v - 5*a + 5 = 0, a + 29 = -5*v + 7 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -u**6\/120 + 37*u**4\/24 - u**3 - 68*u**2. What is the smallest common multiple of s(5) and 78?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 2*b + 11*b + 8*b - 4*b.\nAnswer: 13*b - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.06 + -229.94. Let q = -269 - y. Which is the third biggest value? (a) q (b) -0.2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**3 - j**3 + 3*j**3 + (17*j - 17*j - 4*j**2)*(-1 + 1 + 2*j).\nAnswer: -9*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5*u**2 + 3*u - 2. Let m(f) = -24*f**2 - 16*f + 11. Calculate 2*m(y) + 11*t(y).\nAnswer: 7*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-5\/6)*w**7*w*w assuming w is positive.\nAnswer: w**(49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-18)\/6*-2)\/(4 - 2). Let t(f) be the first derivative of -f - 1\/6*f**r - 3 - 3\/4*f**2. Let t(c) = 0. Calculate c.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3636*t + 54 - 3541*t + 7271*t to the form u + c*t and give c.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 907 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, -501, 4, -5\/2, 4\/11?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qppqpqqpqpqppq. What is prob of picking 4 p?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 140.1556 + -0.1556. What is the third smallest value in -5, 0, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 454515360 to the nearest 100000.\nAnswer: 454500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14837 - -593541\/40. Let o = 27\/5 + -34\/5. Let s = o + w. What is the second smallest value in s, -5\/2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2021*d - 5082 = 1779*d for d.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -121712\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(704) + sqrt(704) - sqrt(704))**2 - (sqrt(891)*-2)**2 - ((sqrt(1100) + 0 - sqrt(1100))**2 - (sqrt(44) + -1))) + 1.\nAnswer: -2860 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 5*o**2 - 3*o - 2. Let b be c(4). Suppose -3*n - b*n = 5. What are the prime factors of (-12)\/(-3) + (-1 - n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*m + 160*m - 3828 = 202*m for m.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*n + 5*d + 9 = 0, 3*n - 21 = 5*d. Suppose 0 = -15*q + 17*q - 8. Suppose 5*x - 173 = -q*g, -g + 176 = 5*x + n*g. What are the prime factors of x?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 849 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g - 838*g**2 + 4*g - 2*g.\nAnswer: -838*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1696 and 45121232.\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(9\/7)*t*t)\/(t*t**14*t*t*t))\/(t**1)**22 assuming t is positive.\nAnswer: t**(-268\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-94)\/(-14) + (48\/21 - 2). Suppose -2*u = 5*t - 15, -2*u + q*u - 6 = -2*t. Which is the third smallest value? (a) t (b) 0.14 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/8*(16\/6)\/(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 5*s**2 - 6*s + 2. Let a = 9 - -1. Let q be ((-3)\/(-2) + -2)*a. Does 16 divide l(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.33253 grams in kilograms?\nAnswer: 0.05433253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kf when two letters picked without replacement from ffffffffffkkfk.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1110126 (base 8) to base 5\nAnswer: -34032334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -11938*u**2 + u. Let z(p) = 2*p**2. What is q(z(g))?\nAnswer: -47752*g**4 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 94*g**2 - g + 1. Let y(t) = t**3 + 7*t**2 + 5*t - 6. Let b be y(-6). Suppose b = 2*i + 4. Is z(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-248)\/496*(8\/5)\/(9\/(-5)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3026843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4317 = 93*u + 3015 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1 - (1 + (-242)\/24) and ((-17034)\/216)\/17 - 2\/(-8).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -561*h**2 - 3*h. Let p(n) = 1682*n**2 + 9*n - 1. Let y(r) = -11*j(r) - 4*p(r). Let v be y(-3). Round v to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/(-35)*-1*(-10)\/4. Put 2, 38, c, 3 in ascending order.\nAnswer: c, 2, 3, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/7)\/m)**(-1\/27)*m**11*m*m*m**7 assuming m is positive.\nAnswer: m**(421\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*v**2 + 37 - 37 to i*v + k + x*v**2 and give x.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**2 + 516*r - 3174. Determine m(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*f - 2 = -11, 0 = 2*l + 2*f - 6. Suppose -4*j - 26 = -l*j. What are the prime factors of j?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1559636 is divided by 14307.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/99 + 86\/11. Suppose -3*u = u - q. Let l = -55 + 60. What is the nearest to -2 in -2\/9, u, l?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2661, -3\/8, 1, 1202?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.04 + 0.04. Suppose 4*w = -5*d + 38, 0 = 5*w - 4*d + 8 - 35. Let i(f) = -4*f + 23. Let c be i(w). What is the third biggest value in l, -0.2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-11 + 10 - -4 - (-1 - -16)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(3\/2)*(g**(-16\/11)*g)\/g*(g**(-7\/5)*g)\/(g*g*g**(-19)))**(-2\/101) assuming g is positive.\nAnswer: g**(-1831\/5555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 + -10. Solve -19 = -3*h + 5*w, -3*w = -w + j for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1918.\nAnswer: 2, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of (-83252)\/(-65)*(-10)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40481*w = 40480*w + 4*a + 13, 18 = w - 5*a for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 23083*194\nAnswer: 4478102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1184856 + -578856. What is a rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 45*k + 1. Let u(j) = -j - 1. Give q(h) + 4*u(h).\nAnswer: 41*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36.85471 centimeters to millimeters.\nAnswer: 368.5471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -4*o**2 - 20*o + 36. Let m be s(-6). Solve 5*y - 5*b = 10, -6*y + m = -2*y - 5*b for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - ((2 - 5) + -22) - (0 + 0)) + 21?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, z: 10, c: 3, n: 2}. What is prob of picking 1 c and 1 n?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1)*((-3 + 0 + 5)*(1 + 0 + 0) - 9 + 10 + 11)*(3*q - 3*q - q) + (2 - 2 + 2)*(-3*q + 3*q - 2*q) - 4*q + 0*q - q.\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/((-55)\/(-11)))\/(68\/136).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 6*n - 6 = 0. Suppose 0 = -4*v + 22 + 2. Let a be (-4)\/(-7)*(-1 + 27\/v). Solve a = n*p + 17 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.5, -3\/2, -1, -1494\/37, 2\/19, -54?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -7, 6\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243)*2 - sqrt(243))*-4 + sqrt(243) + -4 - (sqrt(243)*-4*4 + -1))**2.\nAnswer: -702*sqrt(3) + 41076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 0.7, 2, -3\/8, -517, 5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1282*0.0014\nAnswer: 1.7948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-8)\/(-5)*-6*105\/(-28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r - 3*k - 4, 0*r + 4*k + 8 = -2*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 202 - 329.6. Let n = -137 - a. Is -2\/3 >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 1:53 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + 4 - (9 - 5)) + -4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 3992 + -111 + -1 + 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 14512*z = 14508*z - 40, -3*z = -4*f - 26 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/9 - 316*z - 596992\/9.\nAnswer: -2*(z + 256)*(z + 1166)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 101708284 divided by 1\nAnswer: 101708284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 + (-12 - -45) - 12) + 10.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 90965\/(-805) + (37 - 12 - -2)\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 2*v + 6. Suppose -7*q = 17 + 32. What is the remainder when f(q) is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27937 and 1183.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 2:11 PM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 3. Suppose 0 = 5*l - l - g. Suppose -104 = l*m - 2*s, 4*m + 5*s + 79 = -129. Round m to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -30, 2 in ascending order.\nAnswer: -30, -5, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.9142571 rounded to two decimal places?\nAnswer: -48.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291 is divided by 139?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*v + 2*i + 48, 5*v + 48*i - 45*i + 0 = -6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 + 42*w**2 - 25)*(-5*w**2 + 3 - 7 + 5).\nAnswer: -210*w**4 + 42*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -279\/3455 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -6044 and -15624550862.\nAnswer: -15624556906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 307999849?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 2 + 5*l - 5 + (-1 + 2 - 2)*(0*l + l + 0*l) + 1 - l - 1.\nAnswer: 3*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.13 - -81.13. Let q = 78 - m. Which is the smallest value? (a) 24 (b) -0.2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-46)\/(-322) - 152\/(-14). What is the greatest common divisor of 2 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 4:18 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hz when two letters picked without replacement from {r: 1, z: 1, l: 2, b: 1, w: 1, h: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - c2?\nAnswer: -c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 286ce?\nAnswer: 286d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2558 - 2561. Which is smaller: m or -42?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 387 = r + 2*z, -387 = -3*r + 4*z. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 4*v + 3 + 17, -2*k + 3*v = 15. Suppose -2*d - 2 = -0. Is d at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7105 and 175.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, i: 4, x: 2, p: 4}. Give prob of picking 1 i and 1 k.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-696)\/638*1232\/48\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9\/5 - -11\/5. Let n be 24\/(-10) + 26\/65. Put r, n, -5, 2 in decreasing order.\nAnswer: 2, r, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95292241 is divided by 30?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2 - 74523*g - 29366556.\nAnswer: 3*(g - 25229)*(g + 388)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 1\/5, -4, -3\/88, 5 in decreasing order.\nAnswer: 5, 1\/5, -3\/88, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225*b - 36403 = 237*b - 90343. Does 8 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14328 and 47954224?\nAnswer: 431588016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w**2 + 8*w + 2. What is z(7)?\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (202*s**4 + 222*s**4 + 58*s**4)*(1 - 2 + 2)*(1 + 3 - 2) as a*s**2 + q*s + w*s**4 + f + p*s**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -2*q**2 - 6. Let w(k) = 2*k**2 + 37*k + 22. Let s be w(-18). Let n(b) = -s*b - 193 + 193. What is l(n(v))?\nAnswer: 16*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5629, 5633, 5637, 5641, 5645, 5649?\n\"Answer: 4*w + 5625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17151\/13 - 1320. Let k = 97\/65 + m. Let d = 0.01 + 0.09. Which is the closest to d? (a) -3 (b) 1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210054*m + 848 = -210001*m for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2574882612 to the nearest integer?\nAnswer: 1371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8 (b) -4 (c) -62 (d) -5 (e) 4 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -261 + 439. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -443 + -0.51854868.\nAnswer: -443.51854868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01918 to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(85) + (sqrt(85) - -2*sqrt(85)))*-4 + sqrt(85) - sqrt(85)) + sqrt(85) - (2*sqrt(85) - sqrt(85))*-3)\/(-6*(1*sqrt(5) + sqrt(5))*1*3).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i + 18. Let g be w(-8). Suppose 3*t - 15 = -g*t. Solve -2*k + 0 = l + t, -3*l = 2*k - 7 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.0065 plus -2656.7?\nAnswer: -2662.7065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**23\/d*d**8*(d**(3\/20)*d*d)\/(d*d**3*d*d) assuming d is positive.\nAnswer: d**(523\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -75*b. Let h(q) be the third derivative of -q**4\/12 - 24*q**2. Let s(i) = -4*i. Let c(z) = -3*h(z) + 2*s(z). Determine d(c(x)).\nAnswer: 150*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of f**5\/20 + f**4\/12 - f**3\/3 - f**2 - 3*f. Let i be x(-2). Which is smaller: i or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 940621030 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6.8 and -0.078692541?\nAnswer: 6.878692541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 7. Suppose s + 5 = 2*a, 2*l + 3*a = 25. Suppose -d = -16 - l. Does 9 divide d?\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) 1141 (c) 2\/5 (d) 0 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x + 295 = 335. Suppose 464 = 4*c + x*a, -2*c + 6*a = 2*a - 238. What is the remainder when c is divided by 22?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -2*a**5\/5 - 65*a**3\/3 + 139*a**2\/2 - 115. What is the second derivative of f(y) wrt y?\nAnswer: -24*y**2 - 130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010110110001 - -11111?\nAnswer: 101010111010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -14*w. Let u(c) = -1192 + 4*c + 1192 + 2*c**2 - 18*c. Let h(v) = 2*v. Let j(d) = -14*h(d) - 2*u(d). What is j(p(q))?\nAnswer: -784*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-nine fifths of a century?\nAnswer: 11760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 37921 times 978\nAnswer: 37086738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -74*r + 137. Calculate f(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/((-225)\/(-2)))\/((-2)\/(-30)*3)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**38*x)\/x)\/x)\/x**23 assuming x is positive.\nAnswer: x**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-16)*(-34)\/153.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2*sqrt(7)*-1 + 2*(2 + sqrt(7)) + sqrt(42)\/(sqrt(6)*5) + -3 + sqrt(567)).\nAnswer: -198*sqrt(7)\/5 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 + 0)*(42*u - 1 - 19*u - 20*u)*(3 - 5 + 3) to l + j*u and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 + 40*l - 72.\nAnswer: -2*(l - 18)*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 99 + -99. Suppose v = -2*r - 2*s - 6, 7*r - 4*r - s - 11 = 0. Find j, given that 3\/2*j + 0 - 5\/4*j**3 - 13\/4*j**r = 0.\nAnswer: -3, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.582 + 0.082. Which is the third biggest value? (a) p (b) 6 (c) 5 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14)\/20*(-36)\/126. What is the closest to -0.3 in x, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1167 divide 25561968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -6*l + 5. Let k be q(3). Let b(p) = p**2 + 13*p + 16. Let w be b(k). Suppose 40 = 4*c + c. Calculate the greatest common factor of c and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16844*g + 0 + 128*g**3 - 16675*g - 134*g**3 + 0.\nAnswer: -6*g**3 + 169*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10267778 and 191?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 79 + 1143 = 0. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -203 + 203.5. Let q = -2931 + 43967\/15. What is the smallest value in -2\/15, f, q?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**2 - 6*p**2 + 0*p**2 - 4*p**2 as t*p + f*p**2 + m and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2877.42121 minus 8281?\nAnswer: -5403.57879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 46 = 2*t, 3 = 5*t - 22. Let z be (-4)\/3*n\/8. Let a = -12 + z. Let p(m) = -m - 2. Calculate p(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/2016*40)\/((-2)\/(-6)*(-36)\/48)?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 + 2*z - 3*z - 3*z**2)*(-3*z + z + 3*z)*(-z - 2*z + 6*z).\nAnswer: -3*z**4 - 3*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/20988 and 35\/954.\nAnswer: 20988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/((t**(2\/5)*t)\/t)))**(10\/13)\/((t**(10\/7)*t)\/t**(-8\/7)))**(1\/24) assuming t is positive.\nAnswer: t**(-99\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28803\/10 + -2883. Calculate the common denominator of (-204)\/9 + 0\/(-1) and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 10 + 9*g + 6*g**2 - 3*g**2 - 2*g**2. Let j be v(-8). Let n(f) = 5*f**3 - 2*f**2 - 2*f + 3. Is n(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-672)\/98 + 6\/(-42).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-216)\/15*(-10681 + 6). Suppose h = 12*i - 76524. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/3*-1*(-19 + 16). Which is the nearest to -5\/3? (a) 0.1 (b) v (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12873495?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1061 is divided by 87?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(((((p*p**(1\/13)\/p)\/p)\/p*p*p)\/p)\/p))\/p**(11\/5)*(p\/(p**(-13\/3)*p))**0 assuming p is positive.\nAnswer: p**(47\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/360249 less than -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/15, 26, 1\/3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5155056 (base 7) to base 10\nAnswer: 618813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 25*n**2 + 56*n + 16. What is z(-27)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -6. Let n = -503 - -505. Is a greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.206531 rounded to 1 decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7616400 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -605*c**2 - 1344*c**5 + 2*c + 9*c**2 - 2*c wrt c.\nAnswer: -80640*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**3 + 4*b**2 + b + 4. Let l(i) = i**2 + 1. Let d = -805 - -801. Determine d*l(m) + s(m).\nAnswer: 2*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1020590831.\nAnswer: 13, 6038999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + h + 3. Let r(s) = -2*s**3 - 2*s**2 + 1. Suppose 0*u = -5*u - 5. Let p be r(u). Let d be 0\/2*p\/(-2). Determine j(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 5*s - 1. Let h(l) = -2*l + 1. Let c(k) = -3*h(k) - 2*v(k). Let r be c(-3). Solve 2*t - o + r = 0, o + 4*o = 4*t + 37 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.2 - 3.28. Let v = -0.3 - -0.32. Let z = c - v. Are -2 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -209 - -369. Is 20 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k - 5. Let z be b(-9). Let n(h) = -h**3 + 4*h**2 + h - 2. Let d be n(z). What is the remainder when (-1296)\/(-40) + d\/(-5) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -4 + 60. Let n = -30 + 11. Let q = p + n. Calculate the greatest common factor of 9 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) + -1*-2*sqrt(110) + sqrt(110) + sqrt(110))\/(sqrt(640)*-2 + sqrt(640))*4)**2.\nAnswer: 275\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2853 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -68 + 70. Let z(d) = -8 + d + 7*d**2 - 4*d**2 - d**3 + 0*d**2 - 2*d**r. Give z(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9978 + -9970. Which is bigger: 97 or c?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32561614 (base 7) to base 15.\nAnswer: 3a61b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-14) - 1) + (-13300)\/(-3724)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 3*j - 12, 0*o = -3*o - 5*j + 16. What is z in -11 + 6*z + 22 - 9 - 5 - 3*z**o = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30727045 to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c - -19a?\nAnswer: 18b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**4 + 244*s**3 + 4608*s**2 + 26000*s + 21632.\nAnswer: 4*(s + 1)*(s + 8)*(s + 26)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2\/7*w**2 + 26 - 180\/7*w = 0?\nAnswer: -91, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h**2 + 7*h - 7. Let o(k) = 2*k**2 + 3*k - 3. Let b(u) = -3*a(u) + 7*o(u). Let x(d) = -d + d - 4*d**2. Calculate b(x(l)).\nAnswer: -16*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + s + 220 = 0, -119 = -4*t + 4*s + 185. Solve -t*l + 70*l = -10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 488102 and 476766?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**2\/5 - 193128*g + 6759578\/5 = 0. Calculate g.\nAnswer: -482827, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4025 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7451849 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (-2)\/(-8) - 2899\/2676. Which is the fourth biggest value? (a) i (b) 1\/6 (c) 2 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1347\/2 or 673?\nAnswer: 1347\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-5)\/(20\/(-8)))\/(1 - 9). Sort -2\/7, g, -10\/11 in descending order.\nAnswer: g, -2\/7, -10\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -16f094 + 4?\nAnswer: -16f090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 31*i**2 + 29*i - 45. Calculate w(-30).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 886, -0.1, 2 in descending order.\nAnswer: 886, 2, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ep when two letters picked without replacement from {q: 4, e: 3, p: 13}.\nAnswer: 39\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -3, 3, 0.01, 0.11, 3.31 in decreasing order.\nAnswer: 3.31, 3, 2\/11, 0.11, 0.01, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -36*t**3 + 10*t**2 + 41*t**3 + 0*t**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 1:54 AM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1*(20\/(-2))\/2*1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 124 and 1209?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -5888\/8807 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3 - 14798376*o**2 + 13686973567245*o + 41061053887227.\nAnswer: (o + 3)*(2*o - 3699597)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 67 + -70. Let s be 3 + 2 + 2 + k + -1. Let u(l) = -l. Let j(n) = -2*n + 2. Give s*u(w) - j(w).\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 7*o + 6. Let j be u(6). Let b(x) = -3*x**2 - 5*x - 2. Let r be b(-4). Let v = j + r. Calculate the lowest common multiple of 10 and v.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 7*y - 2. Let w = -1038 + 1036. Give l(w).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -143.4 - -156.57. Let h = d + -13. Let x = 0.07 - h. Sort x, -2, 5 in descending order.\nAnswer: 5, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 38, -169, -396, -655, -958, -1317, -1744?\n\"Answer: -2*g**3 + 2*g**2 - 199*g + 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40506120.\nAnswer: 2, 3, 5, 37, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - l**2 - 1. Let h be 201\/7 + 2\/7. Suppose -5*r + 9 = h. Let z(m) = -4*m - 2. Let i(b) = r*y(b) + 2*z(b). Solve i(u) = 0 for u.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 513?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 at most 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**5\/o**(7\/6))**46 assuming o is positive.\nAnswer: o**(529\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 310\/50371 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(((j**(2\/3)\/j*j)\/j)\/j)*j*((j**(-1)\/j)\/j*j)\/j)**(-23\/2))**(-11\/5))**50 assuming j is positive.\nAnswer: j**(1265\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + (55 - 50) + (-4 - -77).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 871 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -4*c - 13 + 27, 2*c + 2 = -2*q. Let a(o) = 6*o + 48. Calculate a(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29601794 to the nearest integer?\nAnswer: 5441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5059, -20229, -45511, -80905, -126411?\nAnswer: -182029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1c (base 16) to base 14\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 2)*(0*k + k - 5*k)*((71 - 12*k - 71)*(0 + 1 + 1) + 3*k - k - 3*k) to z*k**2 + t + b*k and give z.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 88 + -65. What are the prime factors of a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 202202 and 226226.\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 0*t, 4*t = -3*l + 45. Suppose 5*g + 0*g = l. Is g even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100389?\nAnswer: 3, 109, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 26*c - 86. Let w be g(39). Let q = 465 - w. Is 46 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 105081?\nAnswer: -105086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 1:36 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4 + -1*6*(sqrt(180) - (-3 + 5*sqrt(180) - sqrt(180))**2).\nAnswer: -900*sqrt(5) + 17336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 0.00605?\nAnswer: 0.0121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120886 is divided by 6709.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 481961 (base 15) to base 10.\nAnswer: 3447991","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 4*v + 0*v)*(-1 - 2 + 6) + 4 - 2*v - 4.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3612\/13 - -278. Let j = 57\/14 - 25\/7. What is the nearest to q in -2\/13, -4, j?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*o**2 + 14*o**2 - 21*o**2 + 2*o + 2*o**3 + 1 + o**3 - 2*o**4 to the form y*o**3 + p*o**4 + t*o**2 + c*o + q and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/1 + 0 + -1. Let s be ((-1)\/o)\/(3\/6). Let h = -0.21 - -0.01. What is the second smallest value in 2\/5, s, h?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 7*r**6\/3 + 17*r**5\/5 + 134*r**3 + r**2\/2 - 57. What is the third derivative of v(d) wrt d?\nAnswer: 840*d**2 + 408*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.103 in 2, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -1\/5051?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (14 + -11 - -1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6626 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: Evaluate ((-96)\/36)\/((-16)\/(-318)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-21)\/(-14))\/((-3)\/(-8)). Let z be s\/14 - (-220)\/14. Solve -2*o + z = -6*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1437632.429 to the nearest ten thousand.\nAnswer: 1440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**2 - 4*g**2 - g**2 + 4*g = 0 for g.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -11111?\nAnswer: -11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -101101000111010001111 (base 2) in base 12?\nAnswer: -5b35a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2928526 times -0.3?\nAnswer: 878557.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-11)\/(-28) - 2\/8. Suppose 0 = -3*t + 12, 3*u + 5*t - 11 = -0. Let j = -3 + 3. What is the nearest to j in -1, b, u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -736*l + 2890. Give q(4).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*s*y**4 - 2*s + 14*y**5 + 161*y wrt y.\nAnswer: 120*s*y**2 + 280*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8980c1 - -b?\nAnswer: -8980b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -170?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 201 - 303. Let a = 2993 + d. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 13*a**2 + 11*a - 13. Let m(h) = -10*h**2 - 8*h + 9. Let o(p) = 4*m(p) + 3*y(p). Let j be (-1)\/3 - 26\/3. Let n be j\/(-3) - (1 - 1). Give o(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2455155707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2548 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -14 + 3 - -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2969 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23.1 - 23. Put n, 4, 0.2 in increasing order.\nAnswer: n, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhwhhhhhhhhwh. What is prob of sequence hhwh?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27536 + 28042 = 23*f for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 17 + 353. Suppose -6*y = -y - i. Let s(j) = -j**2 + 16*j + 38. What is the remainder when y is divided by s(16)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000374954 rounded to seven decimal places?\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 53*h**5\/6 - 2729*h**4\/3 - 34765*h**3\/6 - 1175*h**2\/3 + 92416*h\/3 + 1744\/3 = 0.\nAnswer: -4, -1\/53, 2, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 76534, 76532, 76530, 76528?\n\"Answer: -2*l + 76536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 9:42 PM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -7497, 3\/5 in ascending order.\nAnswer: -7497, 3\/5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 81 divided by 16987\nAnswer: 81\/16987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*(0 + -1) + 43. Suppose -4*l + 32 = -4*f + 6*f, -4*f = 3*l - c. What is the greatest common divisor of f and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and -2.81.\nAnswer: -3.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -70.75 - -11.746. Let r = s - -59. Round r to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**4\/(q\/(q*q**(3\/7))))\/(q**(1\/2))**22 assuming q is positive.\nAnswer: q**(-46\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -i - 0*i + 12, 2*r - 8 = 2*i. Sort 10, -5, -4, r.\nAnswer: -5, -4, r, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 47118707?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2181410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -0*u + 2*u, 0 = -5*b - 4*u - 9. Let w be (-93)\/21 + 9\/21 - b. List the prime factors of 1\/(w*(-2)\/90).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149209?\nAnswer: 17, 67, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 5*b - 9*f - 6455, -5*b + 4*f + 6460 = 0. Is b a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tcyyycfyuytytu. What is prob of picking 3 t?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -i**7\/840 - i**6\/160 + i**5\/60 + i**4\/8 - 24*i**2 - 138*i. Let y(h) be the first derivative of p(h). Solve y(l) = 0.\nAnswer: -3, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**3)**(1\/9)*v**(-2\/7)*v\/v**(-2\/5) assuming v is positive.\nAnswer: v**(152\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 0.5 (c) 0 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and -30892.\nAnswer: 247136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 2*u - 481, 2*n + 379 = 4*u - 499. Calculate the remainder when 11145 is divided by u.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 7 = -c, 0*c = 2*y - 3*c - 13. Let u = 8 - y. What is the tens digit of ((-16)\/6)\/(u\/(-27))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -483 - -18?\nAnswer: -465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 3. Let q(u) = -1203*u**2 + 75*u + 21. Let z(d) = -5*a(d) - q(d). Find the second derivative of z(g) wrt g.\nAnswer: 2416","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1597 is divided by 900?\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (3408\/38766)\/(80\/65)\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166887482 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 155361062*j**3*z - 2*j**2*z + 16*j**2 - 2*j - 7187306*z + 2 wrt j.\nAnswer: 932166372*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 639a (base 12) to base 8\nAnswer: 25246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 132237 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(-1 - 1 - 9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -8*k - 2. Let u(a) = 15*a + 4. Let t(p) = -11*s(p) - 6*u(p). Calculate t(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13224455 + -5?\nAnswer: -13224504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*c + 110 = -741. Let y(x) = x**2 - 3*x + 3. Let f be y(6). Suppose 94 = c*d - f*d. Is d a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*h - 217 - h**2 + h**2 + 5*h + 6*h**3 - 7*h**3 wrt h?\nAnswer: -3*h**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 3*d = -9*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 593387360 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 6 = -a. Let r(m) = 6*m**2 - m + 5. Let p be r(4). Suppose 5*x - 5*f + p = 342, 0 = x + a*f - 53. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 4*w**2 + 4*w - 1. Let n be d(-6). Let h = -22 + n. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l - 0*i - 2*i - 21, -1 = -l - 3*i for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 - -7.3?\nAnswer: 7.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o**3 - 2*o**3 + 9*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 2*a - 2*a)*(-20393 + 606*a**4 + 20393) - 2*a**5 + 0*a**3 + 0*a**3.\nAnswer: -608*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 192040271\/906 + -211965. Find the common denominator of 91\/24 and d.\nAnswer: 3624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*w - 3. What are the prime factors of w*(0 - 1)*-3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -964, -963, -962, -961?\nAnswer: -960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r - 3. Let m(w) = -5*w - 12. Let s(p) = -p - 1. Let f(j) = -m(j) + 4*s(j). Let h be f(-5). Let t be l(h). Is 0 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of m**6\/2 + 4*m**3 + 33*m. What is the second derivative of l(k) wrt k?\nAnswer: 180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 4*q - 12, -8*q + 4*q - 8 = -4*k. What is the third derivative of 27*t**4 + t**2 + 42*t**4 + k*t**2 wrt t?\nAnswer: 1656*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 93*m + 110. List the prime factors of t(47).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19116916 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/7 + (-130)\/(-35) + -1. Let j(q) be the first derivative of -1\/2*q**4 + 0*q + 3 + 1\/2*q**2 + 0*q**p. What is the second derivative of j(h) wrt h?\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 10 = 5*v, 0*m + 10 = -2*m. Suppose -5*z = -v*z - 1295. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -4 - (2 - -7 - 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - ((-209)\/5 - 8\/(-10)). What is the third derivative of -2332 + 94*p**6 + c*p**6 + 66*p**2 + 2334 wrt p?\nAnswer: 16080*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2491915321 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1647 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-6)*t\/(t*(t**(-3)*t)\/t))\/(t**0\/t)**19)\/((t**(-1\/5)\/t**1)\/((t**(-2\/9)\/t)\/t**(-3))) assuming t is positive.\nAnswer: t**(854\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**7)**(-10)*(a**4)**(-5) assuming a is positive.\nAnswer: a**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**4\/6 - 5*m**3\/6 + m**2\/2 + 15*m\/2 + 9 = 0.\nAnswer: -3, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q - 3*q**4 + 2 + q**4 - q**3 + 0 in the form i*q**4 + b + j*q + k*q**2 + t*q**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 0*g**5 - 1\/3*g**6 - 1\/7*g**7 - 40 + 0*g + 0*g**2 + 0*g**4 - 44\/3*g**3. Find the third derivative of h(q) wrt q.\nAnswer: -120*q**3 - 120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33673 * -10.301.\nAnswer: -346865.573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2\/125 of a microgram?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -541513150*j**5 - 517703461*j**2 wrt j?\nAnswer: -32490789000*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1, 7\/2, -23?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 955 is divided by 220.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p - 61. Let m be h(-18). Let a(v) = 135*v + 42. Let b be a(m). Let w = b - -2659\/3. What is the common denominator of -21\/10 and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m**5 + 116832*m**4 - 116816*m**3 - 350488*m**2 + 116820*m + 233656 = 0 for m.\nAnswer: -1, 1, 2, 29207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 8*c**3 + 4*c - 7. Let v(d) be the first derivative of -17\/4*d**4 - 9\/2*d**2 + 15*d + 0*d**3 - 1. What is -13*u(m) - 6*v(m)?\nAnswer: -2*m**3 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8497880?\nAnswer: 2, 5, 212447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -94593.5 to the nearest one hundred.\nAnswer: -94600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 232 = 4*k - 0*n, k - n - 52 = 0. What is the greatest common divisor of 7 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, p: 13}. What is prob of sequence rrr?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(76) + -5*(sqrt(76) + (sqrt(76) - sqrt(76)*-1)) - sqrt(76)) + sqrt(76) - sqrt(76))*3)\/(sqrt(100)*-3*6) + 0.\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3514\/(-10040))\/((-14)\/(-48)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 27\/4 of a milligram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 5 - 3. Let j(h) = 3*h + 24. Let v be j(-8). Suppose v = m + w - n*w - 22, 5*m = -w + 86. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4879286103\/2678 + 3643975\/2. Let a = j - 108\/103. Calculate the common denominator of a and -91\/10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6533 is divided by 2816?\nAnswer: 901","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -70*a**2 + 42*a + 17*a**2 - 94*a**2 - 68*a**2 - 49*a to f*a**2 + z*a + v and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 6:27 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2886*p**2 - 9007*p**2 - 3094*p**2.\nAnswer: -9215*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3479191232 a multiple of 176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -648, -1259, -1496, -1173, -104, 1897?\nAnswer: 5016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6086, 6531, 6976?\n\"Answer: 445*q + 5641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 401610992?\nAnswer: 2, 17, 1476511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 163377345 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 z = 476 + -396. Which is greater: z or 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13464 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: In base 15, what is 93 + 3?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/15 - 22*l**2\/5 + 242*l\/5 - 2662\/15.\nAnswer: 2*(l - 11)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1508165 and 64837?\nAnswer: 2819","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 4*p = -3, -m + 3*p + 15 = 3. Solve -m = -x + 2 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 2\/5 (b) 0.3 (c) 4.2 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) 0.1 (c) -29\/9 (d) 1.54 (e) 4\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -30272.2 from -1.\nAnswer: 30271.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -1863*c - 9. What is f(0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.04 (b) -2\/9 (c) 1 (d) 0.5 (e) -387\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 1314*m + 195345. Determine o(-171).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15263 is divided by 25?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4379.359s in milliseconds?\nAnswer: 4379359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -167992, -168030, -168068, -168106, -168144?\n\"Answer: -38*h - 167954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 95 - 62. Let b = 10 + s. List the prime factors of b.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 - -141. Is 4 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1 + ((sqrt(2448) + 2)**2*-1 - (2 + sqrt(2448) + sqrt(2448) + -1))*3*-4 + -3.\nAnswer: 864*sqrt(17) + 29437","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 69 + -29. Suppose s - 16 = 3*p. Does 8 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2511, 2537, 2563, 2589, 2615?\n\"Answer: 26*h + 2485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -726 + 1459. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 9 - 3 = 0. Suppose b = -c*w + 44, -4*b - b + 190 = 5*w. Suppose 0 = -2*j + 7*j - b. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 7*l - 1. Let w(q) = -8*q + 3. Let x(s) = -4*f(s) - 3*w(s). Determine x(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/7, -4, 0.3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilometer in millimeters?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -59 + 4*k**2 - 2*k + 58 - k**2 - 2*k. Let a(q) be the third derivative of q**5\/60 - q**4\/24 - q**3\/6 + 13*q**2. Give -2*a(m) + v(m).\nAnswer: m**2 - 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30650, 68419, 106188, 143957, 181726, 219495?\nAnswer: 257264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 395 + -372.3. Let p = 23 - r. Let s = -37\/62 + 3\/31. Is s less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -8*u + 14 + 41*u + 5 - 30*u + 11. What is t(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2894*r**3 - 2640*r**3 - 2570*r**3 + 8506*r**3.\nAnswer: 402*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 960246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**2\/5 - 91367*f\/5 + 3534216 = 0.\nAnswer: -91560, 193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2195*j**3 + 3*j**2 - 9*j + 2819. Let t(m) = -2195*m**3 - 4*m**2 + 12*m - 2819. Let r(a) = 4*f(a) + 3*t(a). Differentiate r(x) with respect to x.\nAnswer: 6585*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 6 = -x, 0*x - 29 = -3*x + 2*c. Calculate the remainder when 16 is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 394, 5382, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 c when three letters picked without replacement from {e: 8, i: 2, c: 2}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.51 greater than 1\/5799?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 5*i**3 + 20*i**2 + 5*i - 30 = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -6*p**2 - 147*p - 406. What is c(-21)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*i + 35*i + 63 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15432741 to the power of 1\/3, to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 15.88562 and -0.2?\nAnswer: 16.08562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.26 - 0.56. Let a = b - -23.3. Which is smaller: 0.1 or a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 910 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/3 + 2735328*s + 5611514450688.\nAnswer: (s + 4102992)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**2 + 3*p**2 - 4*p**2. Let g(w) = -7*w**2 - 4. Let v(n) = -16*n**2 - 9. Let d(s) = -9*g(s) + 4*v(s). Give -5*d(x) - 6*j(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*u - 459 - 321. What is the highest common divisor of u and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 1:21 PM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -550.9997512 + 551. Round z to six decimal places.\nAnswer: 0.000249","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j + 13*j - 5*j - 3*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1127 + 5464 = -132*p - 2131 for p.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 128\/(-40)*(-220)\/(0 - -2). Suppose -c = -9*i - 7*i. Solve -3*p - 3*d + i = 2*d, -15 = -5*p - 4*d for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6478260, 12956359, 19434456, 25912551, 32390644?\nAnswer: 38868735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ofaa when four letters picked without replacement from jsffoaas?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 3.2. Let p = -1.6 + 3.6. Let q = 1 + -2. Which is the third biggest value? (a) u (b) p (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -209815, -209812, -209807, -209800, -209791, -209780, -209767?\nAnswer: -209752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2608 - -3902. Solve 1305*f - b*f = 66 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s + 5. Suppose 12 = 5*u + 2*d, -10*u + 9*u + d = -8. Let x be 1 - (u - (-2)\/(-1)). Let l(q) = 4*q**3 - 5*q - 5. Let y be l(x). Determine r(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/11 and -83\/66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of -1\/20*n**5 + 1\/6*n**4 - 2*n + 3\/2*n**2 - 1\/2*n**3 + 0. Let i be k(2). Round i to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/20)\/((-36)\/(-90)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 4*h**3 - 28*h**3 + 2 - 3*h + h - 2*h**2. Let n be v(-2). Let a = n + -121. List the prime factors of a.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 5:52 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(84)\/sqrt(4) - (sqrt(210) + sqrt(210)*-1)\/sqrt(10))\/((3*sqrt(175) + sqrt(175))*-6))**2.\nAnswer: 1\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(300)*2)\/((sqrt(48)*1)\/sqrt(12) - (sqrt(36) + (sqrt(36) - sqrt(576)))).\nAnswer: -40*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11442 or -11449?\nAnswer: -11442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 6:30 PM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 0.5 (c) 3 (d) -15\/4 (e) -2\/15 (f) 493\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/132*16*(-24)\/(-144).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -2*r**2\/9 + 3328*r\/9 - 33080\/9 = 0.\nAnswer: 10, 1654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-163 + 130 - 313)*(n**3 + 0 + 0).\nAnswer: -346*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007076 rounded to seven dps?\nAnswer: 0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/70*6490\/(-13629).\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6687215 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 25411830, 25411827, 25411822, 25411815, 25411806, 25411795?\n\"Answer: -m**2 + 25411831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16871?\nAnswer: 16871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 90229524 to the nearest integer?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62196 divided by 219.\nAnswer: -284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/857781 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 50 = 10*o, -18275506*o - 40 = -18275511*o - 4*u for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.87? (a) -5\/4 (b) -1\/4 (c) -1\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3061 - 26.6939. Which is the nearest to 1? (a) -6.8 (b) -0.2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 98521.06 millennia?\nAnswer: 9852106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -2965?\nAnswer: 296.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78 + 76. What is the biggest value in -4, 0.5, o?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2 - -4) + -1)*459. Suppose -k = -9*z + 3312. What are the prime factors of z?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/84*-4)\/(2\/(-9)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - r + 1. Let c(u) = -5*u**3 - 2*u**2 + 2. Calculate c(m) - 2*z(m).\nAnswer: -3*m**3 - 2*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/2*96\/18. Let b be (9 + u)\/((-2)\/(-53)). Let c = 26 - b. Which is bigger: 0.1 or c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10172*z**6 - z**4 - 2*z**2 - 1148*z - 1.\nAnswer: -1220640*z**3 - 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15420 + 6?\nAnswer: -15411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -263*l**2 + 149*l**2 + 871*l**2 + 708*l**2 to y + k*l**2 + b*l and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -4*v + 15, 4*v - 27 = 2*z - z. Let x = v + -3. Let u = -4 + 16. Solve -x*r + 6*r = u for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -40*o**2 + 10*o - 1. Let w(h) = -34*h**2 + 9*h - 1. Give 5*w(p) - 4*z(p).\nAnswer: -10*p**2 + 5*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 11*y + 2. Let i(q) = 25*q - 74. Let s be i(3). What is b(s)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -160 + 808\/5. Calculate the common denominator of u and 11\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1128 and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**2\/5 - 16*f\/5 + 14\/5 = 0. Calculate f.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -8*d + 3. Let j be o(-3). Let b be -7*3\/(-1)*2. Let k = 60 - b. Calculate the greatest common divisor of j and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2117 divided by 5\nAnswer: 2117\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.86 minus 67.348?\nAnswer: -59.488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-4\/9)\/l**(7\/5))**11)**(2\/35) assuming l is positive.\nAnswer: l**(-1826\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9099 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + u**2 - u + 3. Let a = 7158 - 7158. Determine o(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 388*o - 5 - 4*o**2 + 0 + 5 - 306*o.\nAnswer: -4*o**2 + 82*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**5\/11 + 126*y**4\/11 + 596*y**3\/11 - 3820*y**2\/11 - 13650*y\/11 + 16750\/11 = 0.\nAnswer: -5, 1, 5, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 130452 by -2.\nAnswer: -65226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19973992 to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 2:47 AM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 643 - 548 = -19*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 - 25. Let t(k) = -k**3 - k + 2. Let u be t(j). What is the second derivative of -11*z**4 - 1 + z + u - 1 wrt z?\nAnswer: -132*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s - 7. Calculate g(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.001 + 5.001. What is the second smallest value in -0.2, 0.2, -0.3, c, -7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/2, -3, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10244 and 189949370?\nAnswer: 5122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 50056957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 3 = -2*v + 9, -r + 4 = 4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 + 14 = 3*k + 2*o, 22 = 2*k - 4*o for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 4*m**3\/3 - 12*m**2 - 6*m - 26. Let p be n(7). Solve b + 4*a = 3*b - p, -5*b + 22 = a for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 336 and 6143844?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2026749 is divided by 1013366.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 431949.\nAnswer: 3, 7, 67, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3627*y**3 - 2 - 3628*y**3 - 160 - 263.\nAnswer: -y**3 - 425","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66*(84\/18)\/(175\/(-50)).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-2*sqrt(36)\/sqrt(6) + sqrt(6)))\/(4*3*sqrt(147)).\nAnswer: sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-4) - 3) + 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -5*q + 5, 4*j - 2*q - 1 = -5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 139 + -59. What are the prime factors of 2\/(c\/24)*(-1 + 186)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g. Let j(o) = -1 - 12 + 8 + 4. Calculate j(v) + k(v).\nAnswer: 3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 5*s - 85. Let i be v(20). Suppose -i*a = 11*a - 130. Solve -3*p = 5*l - 19, 4 + a = 3*p + 3*l for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2067488864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 20*w**3 - 16*w**2 + 3*w + 2. Let p(b) = b**3 - b - 1. Determine f(c) + 3*p(c).\nAnswer: 23*c**3 - 16*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15469651 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*j - 206 - 694 = 0 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 321 - 321. Is 2\/17 at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 168 = 33. Calculate the lowest common multiple of f and ((-6)\/13)\/((-63)\/1092).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 55, -2, -1681, -5, -3 in decreasing order.\nAnswer: 55, 2, -2, -3, -5, -1681","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 8*i - 7. Let f be l(2). Let n(s) = s**2 - 4*s - 6. What is n(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m = -8*m + 1. Let r be (-2)\/m*(-2)\/(-2). Suppose -18 = -r*u + 26. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of 81*k**5\/5 + 4062*k**2. Let n(h) = 3*h. Give f(n(l)).\nAnswer: 8748*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -18, -0.5, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of s**3\/3 - s**2\/2 + 4*s - 6. Suppose 0 = -4*x - n + 12 + 2, 5*x - 21 = -3*n. Is t(x) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -6. Let h(u) = -u**2 + 2. Calculate h(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10161133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-17 - 1)*((-684)\/27)\/(-4). Let u = -48 - x. What is the greatest common factor of 22 and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120\/(-35)*588\/(-63)*3\/(-2)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 42*j**2 - 164*j - 15. What is a(8)?\nAnswer: 1361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -1 + 4 + -1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3021 is divided by 275?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j + 13*j + 0*j.\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33293\/22 - -3019\/2. Sort 19\/3, k, -2\/5, 0.4 in decreasing order.\nAnswer: 19\/3, 0.4, -2\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 8*u**2 + 9*u - 9. Let f be g(8). Suppose 5*s + 8 = f. What is the remainder when 19 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000071362028 rounded to 6 decimal places?\nAnswer: -0.000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (120\/(-100))\/(3\/4120). Is y\/12*(-21)\/14 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 2*d = 6 - 16, 2*d = 4. Let s be y\/6*2*-6. Factor -39*w**3 + 0*w**4 + 180*w**2 - 3*w**4 - 336*w + 192 + s*w**4.\nAnswer: 3*(w - 4)**3*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.26 - 17.46. Let z = 33 + -58. Let g = z - r. What is g rounded to zero decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -9\/11 (b) -7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 647694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/18859 or 0?\nAnswer: 2\/18859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.36 + -10.\nAnswer: -4.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1740361044 to the nearest integer?\nAnswer: 1203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*u**2 - 314*u - u**2 + 314*u - 7*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.549584782 to 1 decimal place.\nAnswer: 11.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 612 and 15804?\nAnswer: 268668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 9:17 AM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -246*c**2 - 124*c + 51*c + 73*c - 2 to the form x + r*c**2 + z*c and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**4 + 0*x**4 - x**4 + x**4 + 2 - 2 + (2*x**4 + x**4 - 5*x**4)*(1 - 4 + 1).\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 5*a = -7*z + 11, a + 3 = z. Solve 0*f = 9*f + z*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 28 - (14 + -9) - (11 - 8)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - m + 7 - 184 = 0, 0 = -2*m + 10. Let u be 80\/n - (-2)\/(-7). Let a be 20\/90*4\/(-28)*3. Put u, 0.4, a in descending order.\nAnswer: 0.4, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 49\/5 of a century?\nAnswer: 980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-15)*(-15)\/(-160)*8\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0)**(-1\/22)*v*(v\/v**(1\/3))\/v*v*v*v*v\/v**(3\/5))\/((v**(-2\/5)\/(v*v**0\/v))\/((v\/((v**2*v)\/v))\/v*v\/v**(-2\/15))) assuming v is positive.\nAnswer: v**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 43*k**2 + 87*k - 110. Calculate b(-45).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2.5, -21, 0.06?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2902380 is divided by 2902038?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -100110100101000?\nAnswer: -100110100100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a gram in micrograms?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - 12 - (-2 - -3). Do q and -14 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 - 19. Let m be 154\/(-10) + 2\/5. Let k be (1*2)\/((-20)\/m). Are k and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 567556 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 3*u = -4*p - 2, 2*u = 3*p - 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*o - 349 = -7*o - 129 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 2*b - 55 = d, -55 = -3*b - 4*d. Suppose -b = 3*n - 8*n. Suppose 30 = 4*v - n*l, 0 = -4*v + 2*v - 5*l. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*p + 32*p = 24. Let v be (4\/(32\/12))\/((-3)\/p). Let b = 11 + -7. Sort v, -1, b in descending order.\nAnswer: b, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3262 - -3267. Which is the smallest value? (a) -2 (b) -3483 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113556 >= 1589769\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4661*i**2 + 1549*i**2 + 1562*i**2 + 1563*i**2.\nAnswer: 13*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -117, -238, -359, -480, -601, -722?\n\"Answer: -121*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -23*f - 4. Let u be s(-7). Let h = -1102\/7 + u. Let i be (-2 + 3 - (0 + -1))\/6*-3. Which is smaller: h or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 6*s**2 - 144 - s**3 - 160 - 5*s + 326. Give y(4).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 6*o - 11. Let c(x) = 3*x - 5. Let t(q) = -7*c(q) + 3*f(q). Let b(w) = -w**2 - 2*w + 2. What is -3*b(r) + 2*t(r)?\nAnswer: 3*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.74 + 4.26. Let b = -2 + 2. Sort b, p, -1\/2 in decreasing order.\nAnswer: p, b, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -585 divided by -74\nAnswer: 585\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10552693 to the power of 1\/3, to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 at most 816753?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4374.8 - -4375. What is the third smallest value in z, 344, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) + -2)*-3 + (sqrt(11) - ((1 + sqrt(11) - sqrt(11)) + -5)**2 - sqrt(121)\/(1*sqrt(11))).\nAnswer: -33*sqrt(11) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4)\/(5*(-22)\/(-165))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -1 + 4 + -5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n**3 + 8*n**2 + n. Let i(k) = 2*k**3 + 5*k**2 + k. Determine 4*g(j) - 7*i(j).\nAnswer: -2*j**3 - 3*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2561*o - 444*o**2 + 164*o**2 - 817*o**2 wrt o.\nAnswer: -2194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-300)\/(-3500))\/(54\/(-10))*-7.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 10:45 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*u - 4758 = -14*u. Calculate the greatest common factor of u and 3757.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(17) - (sqrt(17) + sqrt(34)\/sqrt(2))) + 5 + sqrt(17)) + -4 + sqrt(17)*2*-5)*-2.\nAnswer: 18 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (15 + 1 - (9 + -34 + 35))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**3 + 5070*s**2 + 30339*s + 45468 = 0. Calculate s.\nAnswer: -1684, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kn when two letters picked without replacement from {t: 4, n: 3, k: 6}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q**2 + 1053*q + 10449. Calculate c(-10).\nAnswer: -381","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 107, 157, 239, 371, 571, 857?\nAnswer: 1247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jhhhhhphhhhjpjh. What is prob of sequence jjh?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 213*v + 433*v - 215*v = -14, 0 = -11*g - v + 18 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 - -28. Let u be (i + 2 + -3)\/1. Let w(j) = -j**3 - 5*j**2 - j + 2. Let a be w(-5). Calculate the highest common divisor of a and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1\/(((f\/f**1)\/f*f)\/f))**(2\/5) assuming f is positive.\nAnswer: f**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (73 + -84 - -3) + 27 + -1.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - x**2 + 6*x**2. Let a be (-2)\/3*-41*(-1521)\/(-78). Let y(t) = -533 - 5*t**2 + a. Calculate o(y(r)).\nAnswer: 100*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g**2 + 2*g + 2. Let x = -5 - -1. Let u = x - -7. What is the units digit of f(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 700*p + 912 + 2046 = -280*p - 6*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -5*h + 4*n + 124, 0 = 3*h - 2*n - 206. What is the highest common divisor of h and 1656?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -235*b - 13. Let o be j(-5). Suppose -o = -i - 221. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 6*i**2 + 10*i - 6. What is the smallest common multiple of d(3) and 65?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/14 - 371\/49. Let v(m) = 6*m**3 - 7*m + 13. Let u(f) = -3*f**3 + 4*f - 7. Let x(k) = z*u(k) - 4*v(k). Find the first derivative of x(t) wrt t.\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -20*b**2 + 1. Let k be v(1). Let i = k + 69. Suppose -5*h + 25 = -i. What is the remainder when h is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -264*i**2 - 1345*i - 194. Give g(-5).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9979648 by -4989824.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 43*q**2 + 152. Let c be t(-38). Round c to the nearest one hundred.\nAnswer: -7100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.41 and 275006?\nAnswer: 275006.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3402.02 and -48100.\nAnswer: -51502.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (18\/12)\/((2\/4)\/1). Are i and 38\/15 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(-2*n - 2 + 2 + (-2 + 2 - 1)*(-5*n + n + 3*n)).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*((-63)\/(-14))\/((-2)\/(-76)). Find the third derivative of 171 - j - 37*m**2 + m**5 wrt m.\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of 1\/3*m**3 - 1 + 1\/2*m**2 + m. What is the units digit of u(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44 + 145. Let g = 104 - o. Let r be -3*(-3)\/9 + g. Put 2, r, 3 in decreasing order.\nAnswer: r, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26 in -2, 1\/50, 0.3, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8445?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 259 - 140*c - 259 to the form x + h*c and give h.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - ((-11 - -3) + 5 + 6 + 0)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/13)\/(k\/((k*k\/(k**(-2\/7)\/k))\/k*k)))\/(k**(3\/16)*k\/(k\/(k\/k**(1\/3))*k)))**10 assuming k is positive.\nAnswer: k**(49745\/2184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 14 + 4 + -1*(0 + 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*v**3 - 211 - v**2 + v**2 + 211.\nAnswer: 25*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12 + (2 - 0) - (1 - -1). What is the highest common factor of k and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 44*i + 17. Calculate t(-1).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 5:23 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 7:49 PM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2552?\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 141 by -5.\nAnswer: -141\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009643143 rounded to 7 dps?\nAnswer: 0.0009643","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/3159878 and -66\/655674685.\nAnswer: 1311349370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 47*z**3 + 11*z**2 + 13*z + 41. Let u(s) = 21*s**3 + 4*s**2 + 7*s + 20. Let k(d) = 4*p(d) - 9*u(d). Give k(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-15) + 15855\/87150. Sort 2\/19, -0.4, d.\nAnswer: -0.4, d, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, s: 6, k: 1, q: 4, b: 1, x: 1}. What is prob of picking 2 q and 1 o?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -79*m - 1. Let n(u) = -315*u - 4. Determine -2*n(o) + 9*q(o).\nAnswer: -81*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -13*p**3 + p**2 + 10. Let b(f) = 3*f**3 + 2. Determine 5*b(q) - z(q).\nAnswer: 28*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 5 - 2 - 1)*(1 - 1 + 2*m).\nAnswer: 4*m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1900)*2 + -2 + (((sqrt(190) - sqrt(190)*2 - sqrt(190))*-4 - sqrt(190))\/sqrt(10))**2.\nAnswer: 20*sqrt(19) + 929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -280*z + 7 = -277*z - d, -2*z = -9*d - 13 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 481 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -5\/12*i**4 + 0*i**2 + 0*i**3 + 0 + 8*i. Let z(r) = 2*r**2. Give w(z(k)).\nAnswer: -20*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 20*8134\nAnswer: 162680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oi when two letters picked without replacement from {t: 6, c: 3, i: 6, s: 1, o: 1}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 4*k + 44, 4*c - 33 = c + 2*k. Let u = c + -2. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f - 1204*f**2 - 2424*f**2 + 557*f**2 + 42 + 188*f**2 + f wrt f?\nAnswer: -5766","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1342*c + 1201*c + 10952 - 113552 = 491*c for c.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -2 (b) 0 (c) -15.2 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -7. Let p = g + -2.9. Let r = 7 + -9. Sort -0.3, r, p.\nAnswer: r, -0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 77 + -13?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2659?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1862262533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*u + 11*u + 5*u - 16 + 8*u - 34*u in the form z*u + f and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/r**2)\/r)\/r)\/(r\/(r*r*r**(-1\/4)))*((r**(-2)*r)\/r)\/r**(2\/3))\/(((r**(-6)*r)\/r)\/r**3)**(5\/6) assuming r is positive.\nAnswer: r**(31\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/((-7062)\/(-24))*(10\/12)\/(80\/48)\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((264\/(-1170))\/22*-5)\/(2\/9). Is 57 at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39030*h**2 + 4175*h + 1.\nAnswer: 78060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5\/2 + -3. Let v(m) = -m**3 + 8*m**2 + 9*m - 10. Let d be v(9). Let x(u) = -u - 11. Let f be x(d). Do f and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 - (-79 - -15) - 17 - 39) + 80?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1608782.624 rounded to the nearest 100000?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -255, 1.6, 23, -4.1?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010 (base 2) to base 8.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 20 = 11*q, 7*p = -q + 3*p - 0*p + 16 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 382, -5, 154 in ascending order.\nAnswer: -5, 154, 382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 + -25. Let b(s) = -5*s**3 - 7*s**2 + 20*s - 4. What is the units digit of b(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.24 - -0.24. What is the closest to 2 in -1\/2, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 8*q - 6. Let t(o) be the first derivative of -o**3\/3 + o**2\/2 + o - 11. Let v(d) = -6*t(d) - w(d). Find the second derivative of v(f) wrt f.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/((-68)\/24))\/(148\/222)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-8 - (3 + -21) - (-26 + -4))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 8:21 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 9 = -2*d, -32*x + 30*x - 4*d + 10 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 415, 845, 1277, 1711, 2147?\n\"Answer: n**2 + 427*n - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1391897*a**5 + a**4 - 7991515*a wrt a?\nAnswer: 27837940*a**3 + 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (9 - (7 - -9)) + -5 + 8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*q**2 + q + 3*q**2 + 3*q - 5*q**3 + 2*q**4 + q**2 as s*q + x*q**4 + o + r*q**3 + i*q**2 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 819 take away 0.18?\nAnswer: 818.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 3:52 PM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -469*w**3 + 2*w**2 - 4*w - 7. Give p(-1).\nAnswer: 468","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 40093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2566506463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -150988\/830313 - -2\/75483. Let y = 2 + -2.6. What is the nearest to 3 in k, 4, y, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**3 + 2*v**3 + 12*v**3)*(2 - 2 + 2*v)*(-3 - 1 + 5)*(8*v - 4*v + 0*v)*(0 + 2 - 4).\nAnswer: -192*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4500 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21.551 - -21.5. Let v = 0.29 - 0.239. Let t = v + h. Which is the closest to 0.1? (a) -1 (b) t (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of c**6\/30 + 7*c**5\/4 + 11*c**4\/4 - 35*c**3\/6 - 17*c**2 + 63*c - 4. Factor r(o).\nAnswer: (o - 1)*(o + 1)**2*(o + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30444044 (base 5) to base 11\nAnswer: 160831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m + 5*m - m + 4*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**3 - 1708*c**2 - 6844*c - 6848 = 0. What is c?\nAnswer: -2, 1712","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -3150482 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 212 and 18?\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2642.\nAnswer: 2, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 + 5 = -11*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*n + 16*n + 40. Solve -4*q + 4 = -2*b + n, -3*q - 4*b = -8 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 7:14 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4b578a (base 14) to base 11.\nAnswer: -1509245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.2468 + -4711.6532. What is t rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*y + 4 = 0, 5*y - 2 = 8. Suppose w = 2*x - 6. Suppose x*m = 3*o - 2*o - 2, m - 4*o = -8. Solve 2*u - 2*s - 6 = m, 2*s = -2*u + 2 + 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 8*r + 8. Let t be x(7). Let k(d) = 4 + 2*d + 1 - 4 - 7*d + 0. Determine k(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1101000000010010111000 (base 2) to base 7\nAnswer: -40656003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 5:16 PM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1995, 3999, 6025, 8085, 10191, 12355, 14589, 16905?\nAnswer: 19315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13928504 + -5?\nAnswer: 13928499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2 + 1 + 0*y**2 - 3*y**2 + 0. Let j(w) = -w**3 - 2*w**2 - w - 7. Let o(v) = j(v) + 4*u(v). Let p be o(-6). Solve -12 = -p*d - d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 14*y + 12. Let a be v(-13). Let g(z) = -6*z - 3. Let m(x) = -x - 1. Let l(t) = a*g(t) + 2*m(t). Give l(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 7 and -378500.\nAnswer: -378493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 - -71. Let k be 15\/(-3) + 3 + h. Does 4 divide 1\/(-6) - k\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 342*s**2 - 172*s**2 - 173*s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5676 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 - 15*j. Calculate m(9).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of 0*y**6 + 0*y + 0*y**3 - 1\/4*y**4 + 5*y**2 + 0*y**5 - 1\/336*y**8 + 0*y**7 + 0. Find the second derivative of o(k) wrt k.\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13760*o + 78 = -13773*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 220*q**2 - 2*q. Let b be x(2). Suppose -14*t + b = -11*t. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -470, -426, -368, -290, -186, -50, 124, 342?\nAnswer: 610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2688, -10568, -23710, -42120, -65804?\n\"Answer: -b**3 - 2625*b**2 + 2*b - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iacc. Give prob of picking 2 c.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -22, -0.2, 2\/5, 15?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1368 rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/9, -0.36, -2580?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 25 = -4*n + 5, -5*j = 4*n - 7. What is the highest common factor of 1815 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/((-49)\/24)*16\/(-640)*-140\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o**3 + 8*o - 11. Let j(p) = p**3 - 3*p + 4. Let d = -221 + 216. Let f be -2 + (-8 - d) + 2. Let h be 10*((-1)\/(-5) + -1). Give f*g(k) + h*j(k).\nAnswer: k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 112082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1582221.69 hours in weeks?\nAnswer: 9417.98625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5*i + 12 = -8, k - 5*i + 10 = 0. Calculate the remainder when k is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24310\/572 - (-329)\/(-14)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1146\/13 - -88. What is the biggest value in u, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30254813651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*j + 34*j + 60*j + 2 + 8*j to g*j + z and give g.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ovoozvov. What is prob of picking 2 o, 1 v, and 1 z?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 21*f**3 - 3*f**2 + 4. Let x(s) = 21*s**3 - 2*s**2 + 3. Let a(m) = -6*n(m) + 7*x(m). Let q be a(3). Round q to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36\/115 + 10723\/1380. Find the common denominator of l and (5\/25)\/(12\/(-145)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*x - 6, 2*h - 6*h - 8 = -4*x. Let z = 312 - 154. Suppose -x*a - a + 237 = -3*d, 0 = 2*a + d - z. List the prime factors of a.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*t**3 + 61*t**3 - 113*t**3.\nAnswer: 30*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.251 - 99.251. Let h = w - -99.11. Which is smaller: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367090 rounded to the nearest 1000?\nAnswer: 367000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 45 - 117 = 0. Suppose b - 5*t - 18 = 0, 4*b - 3*t - u = 1. Is b a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 10, 1, -3, -0.5 in decreasing order.\nAnswer: 10, 1, 3\/5, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2 + 54*f + 195.\nAnswer: 3*(f + 5)*(f + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 126684312?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170 is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -10*u - 4. Let p be i(-10). Suppose -2*m - a = 2*m - 81, 4*a - p = -4*m. Is 6 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 263, 260, 235, 182, 95, -32, -205?\nAnswer: -430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.293 + -0.2914. Let s = c - 3.6116. What is s rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-6) - 44\/24. Which is the nearest to 1? (a) w (b) 3 (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 0*a - 4*a)*((3*a - 3*a + a)*(-3 + 1 + 0) + a + 2*a - 2*a).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4 = 11. Let f be (l - (2 - -1))\/2. Solve h = 1 - f for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73211752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u - 2, 3*q + 3*u = -2*q + 16 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 48328573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 5:00 AM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q + 9. Let v be r(-5). Let b be (-12)\/18*(-6)\/v. Let x(k) = 7*k**2 - 1. What is x(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - g + 2 - 7, -4*g - 20 = -2*l. Suppose -2*o = -l*o - 2. Let k be 6*3\/(-9)*o. Sort 1, k, -4 in descending order.\nAnswer: 1, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 169*m**2 + 20*m**3 + 167*m**2 - 494*m**2 + 7*m**3 + 9*m + 167*m**2. Let d(t) = 7*t**3 + 2*t**2 + 2*t. Determine -9*d(g) + 2*r(g).\nAnswer: -9*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a - 1. Let g be q(6). Suppose 3*s - g = 4*d, 5 - 1 = 4*d. Let v(f) = 2*f**2 - 3*f + 4. Is v(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1900384721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 3*g = 4*g - 9, 13 = m + 3*g for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.42516343 rounded to 3 dps?\nAnswer: 2.425","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fpibpbipspbpspfpp. Give prob of picking 1 p, 1 s, and 2 b.\nAnswer: 12\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 41*i + 29 + 6*i**2 - 3*i**2 - 2*i**2 + i**2. Let a be g(-20). Which is smaller: a or 13?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 10*j - 9. Suppose -2*l - 4*t = 13 + 3, 5*t + 29 = -3*l. Let d(i) = -2 + 1 - 10*i + 9*i + 2*i. What is l*d(q) + 2*z(q)?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 2\/11 (b) 2\/5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1678381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of x**5\/60 + x**2 + 71. Let v(y) = y**2 - 2*y - 2. Let o(t) = 2*t**2 - 3*t - 3. Let d(g) = -2*o(g) + 3*v(g). Calculate d(a(u)).\nAnswer: -u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence waa when three letters picked without replacement from qaawa?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 5*t + b, -3*t + 14 = -2*b - 12. Sort t, -4, -1.\nAnswer: -4, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3*(sqrt(117)*4 - sqrt(13)))**2.\nAnswer: 14154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*n = 5*b - 22, -2*n + 3*b + 21 = 0. Let r(i) = i + 4. Let v be r(5). Let z be 2\/v + 9088\/n. Round z to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 442421831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 + 32589312*w + 265515814158336.\nAnswer: (w + 16294656)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -i**3\/6 - 5*i**2 - i. Let j be g(-9). Which is the closest to j? (a) -0.2 (b) -1\/6 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 7. Let l = j + 44. 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: What is 0.3 times -7.397?\nAnswer: -2.2191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75458\/(-32525)*(17 + 8)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -4 + 2 - (3 + -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*(-5)\/(-4)*50. Let p(k) = -k**2 - 2*k + 30. Let r be p(-10). Let m = r + b. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/1254253 and 101\/168168?\nAnswer: 30102072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 3*f + 13, 10 = -2*s + 7*s - f. Let v be s*(-3 + 7 - 8\/2). Solve v = 4*x - 5*b + 17, 2*x + 21 = 4*b + 5 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 268180 divided by -12190?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -18*u**3 - 6*u. Suppose 64 + 44 = 6*r. Let f(j) = -j**3 - j. Let d(h) = r*f(h) - 2*o(h). What is the second derivative of d(x) wrt x?\nAnswer: 108*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zkl when three letters picked without replacement from {k: 5, l: 4, z: 8}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 j when two letters picked without replacement from nsjmjnjmjjnmjss.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6667.8 and 0.7?\nAnswer: -4667.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*c - 19466 - 1678 = 190*c + 78 for c.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 11, 6\/5, -4, -1\/3.\nAnswer: -4, -1\/3, 2\/5, 6\/5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**20\/(j\/(j*j**10*j)) assuming j is positive.\nAnswer: j**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 10:00 AM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-27)*1*15*1\/1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 275 divide 11214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 b when three letters picked without replacement from {b: 1, l: 4, t: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -56 - -55.774. Let p = c - -0.196. What is the third smallest value in -2\/7, 4, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -320 not equal to -333?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifty-four fifths of a minute?\nAnswer: 648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 27*y**2 - 30*y**2 + (-2 + 1 - 1)*(-4 + y**2 + 4))*(-1860 + 1860 - 45*y**2)*((-1 + 0 + 3)*(0 - 5 + 4) + 1 - 1 - 5 - 3 + 6 - 4).\nAnswer: -1800*y**4 + 360*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3927)\/(-187))\/((-6)\/4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 236 (base 8) to base 3\nAnswer: 12212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1 and 170\/48 - 1\/(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*b + 37 + 25 = 0. Let x(g) = 16*g + 1. Determine x(b).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1089\/4 - -271. Let v = 4 + -1. What is the second smallest value in w, v, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000643617 rounded to seven dps?\nAnswer: -0.0000644","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g - 3. Let t be s(7). Let w(j) be the third derivative of 0*j**3 + 0*j + 6*j**2 + 0 + 1\/30*j**5 - 1\/4*j**t. Find the second derivative of w(z) wrt z.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4*y - 2780 = 0, f + 2*y - 304 = 394. List the prime factors of f.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4199135 is divided by 408.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 864 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2604\/(-217)*46\/253\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 11:48 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(2\/11))\/p**4*(p**(-1))**26 assuming p is positive.\nAnswer: p**(-321\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-4))**(38\/3)*(q**(-7))**(-14\/9) assuming q is positive.\nAnswer: q**(-244\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3*(63\/(-156) + (-88)\/(-572))\/(20\/32)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 196.57 + -196. Let u = t + -73.17. Round u to zero dps.\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert e (base 15) to base 2.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5969 - -871. Suppose -9*t + k = t. What are the prime factors of t?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -3*i + 177. Suppose j + 21 = -3*m - 47, -m + 3*j = 6. Let x = m + i. Is 22 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 19*j - 2. List the prime factors of s(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 143 and 77363?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 <= -45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -795 = 34*v - 2155. Calculate the highest common divisor of 1280 and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 3*z - 3*z)*(0*z**4 + 8*z**4 - z**4) + z**3 - 2*z**5 - z**3 + (z**2 + 17*z**2 + 10*z**2)*(-3*z + 2*z**3 + 3*z).\nAnswer: 26*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -20, -82.\nAnswer: -82, -20, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**2 - 7812*k - 323654 = 0. Calculate k.\nAnswer: -41, 3947","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 f when two letters picked without replacement from efaveaxxxaexxr?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 400 divide 3889657933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 3*o**2 + 21*o - 15. What are the prime factors of q(6)?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003510760275 rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -209b99 (base 12) to base 14.\nAnswer: -d591b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 15*k**2 + 86*k - 3786. What is the thousands digit of a(43)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60751, 121407, 182063, 242719?\nAnswer: 303375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 95222043013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 10*i - 14*i, -4*f - 5 = -3*i for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**(26\/9)*m)\/((m**(2\/11)\/m)\/m)*(m*m\/m**(-20))**(-2\/149) assuming m is positive.\nAnswer: m**(24103\/14751)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6*(2\/(-18))\/(9\/(-54)). Suppose d*p - 3*f + 21 = 8*p, -p + f = 0. What are the prime factors of (162\/36)\/(p\/88)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 4*u = 68. Suppose 36*g + 683 = 3*w + 32*g, -457 = -2*w + 3*g. Calculate the highest common factor of w and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 1751?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of 2*z + 0*z**3 + 0 + 0*z**2 + 1\/12*z**4. Let m(i) = -6 + 8 - 2 + i**2. What is m(d(l))?\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**5\/9 - 14*i**4\/3 + 860*i**3 - 7696*i**2\/9 = 0?\nAnswer: -74, 0, 1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -0*m - 10. Let p = -3 + m. Suppose -p = -c - 0. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1803862 is divided by 900513?\nAnswer: 2836","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + (-6 - 0) - 38. Let k = -40 - g. Solve 2*t = -2*t - k*y - 10, t + 2 = -y for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 12:16 PM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5270978865 to the nearest integer?\nAnswer: 72602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 224? (a) 2\/9 (b) 16 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i*u**5 - 3*i*u - 107*i + 230389*u**5 - u + 22 wrt u.\nAnswer: 20*i*u**3 + 4607780*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-129)\/(-1677))\/((-9)\/39))\/(3\/279).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 8 - (4 + 2 - 12 - -10)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2082, -1216 in ascending order.\nAnswer: -2082, -1216, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1475 + -492. What are the prime factors of m?\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -0*t - t + 5*j, -5*j = t + 7. Let f be t\/44 + 42\/11. Solve f*k + 5 = -k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-6*(sqrt(2057)*-2*-5 + -1*(sqrt(2057)*-1 - sqrt(2057)))*4.\nAnswer: -19008*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -121929, -487744, -1097445, -1951032, -3048505, -4389864?\nAnswer: -5975109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 31*l**2. Let v(g) be the third derivative of g**5\/30 + 11*g**2. Determine v(r(s)).\nAnswer: 1922*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 3*k**2 + k)*(-15*k**3 + 6*k**3 - 72*k**3) + (4*k**3 - k**3 - 5*k**3)*(2*k + k**2 - 2*k) + k**3 - k**3 - k**5.\nAnswer: -246*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**4\/5 + 729*x**3 - 138972*x**2\/5.\nAnswer: 3*x**2*(x - 37)*(x + 1252)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 90022561?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -9 + (-4 - -1) + 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 113 + -84. Suppose -s - 25 = -o. Solve s*z + 5*m - 9 = 0, -4*m - 8 = -4*z - 44 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 3. What is the remainder when 53 is divided by (d\/(-1))\/(4\/(-76))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 1 + 2)*(18*y**2 + 4*y**5 - 18*y**2) + 12 - 12 + 2*y**5.\nAnswer: -38*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 393451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 336.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-200)\/(-32100)*107*1\/(-5)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 0. Let g be (2\/4)\/(n\/16). Put 0, g, 5 in decreasing order.\nAnswer: 5, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5671 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 times 87.5\nAnswer: -5.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 50693 + -26.9\nAnswer: 50666.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25 - (-62 + -24)) + -91?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 149*y - 20*y - 1031742. Calculate the remainder when y is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138598375.\nAnswer: 5, 59, 18793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -161*d**3\/2 - d**2\/2 - 6*d. Let q be z(1). What is the tens digit of q\/(-10) - 18\/(-30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1374*q - 9 = 1371*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 4*x - 1. Suppose -4 = 4*u, 5*b - u = -4*u + 77. Suppose 6*n + b = -m + n, -5*n = 5*m. What is v(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -58?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15*(-62)\/(-15345))\/((-5)\/30*14\/1)?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/((-55)\/5)*(-2)\/58?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f - 270 = -2*f. Suppose -f*u = -14*u + 100. Is 24 a factor of 10\/u - 1191\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 11*y**2 - 143*y - 1365. What is the remainder when 993 is divided by f(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2883*p**2 - 1441*p**2 - p - 1407*p**2 + 1. Calculate w(-1).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/3)\/(((198\/8)\/(-3))\/(9\/24)).\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 760924727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = o + 8. Suppose -o*l = -l - 24. Is l a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40 - -42. Let b = -6.7351 - -6.4351. Let o be (-22)\/30 + (-1)\/(-3). What is the closest to b in x, 1\/2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -k + 3*v, 2*k - 25 = -3*v - 2. Let m be (-60)\/(-18) - k\/(-6). Solve m*i = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (-25 + -22 + 72)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*q**3 + 2*q**3 + 6*q - 9*q**3 wrt q.\nAnswer: -144*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = s + 3*s + 20, s = 3*f + 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.037 in -1\/4, 1, 1\/4, -0.6, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q + 1. Let a(x) = x**2 + 5*x - 1. Let l(m) = 3*a(m) + 4*c(m). Let g be l(-2). Solve -g*w + 5*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6616283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56, 4, -0.4, 0.64, 0.347.\nAnswer: -0.4, 0.347, 0.64, 4, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*q - 30*q + 36. Let u(n) = n + 2 - n**2 - 2*n - 5*n. Calculate u(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10696900.\nAnswer: 2, 5, 41, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -3. Let d = -35.5 + -21.6. Let h = -57 - d. What is the biggest value in s, -0.4, h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37820.35966 rounded to the nearest 10?\nAnswer: 37820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)*2 - (-4*(1 + sqrt(11)) + sqrt(11))**2.\nAnswer: -115 - 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 36882 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: What is the tens digit of 1 - 302223\/(-30) - 18\/180?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (23 - (6 + 0 - 7))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1221 (base 3) to base 11\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o = -206 + 199 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 100959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61095?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-nine thirds of a decade in months?\nAnswer: 3160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/10 and 85\/198?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = m - 5. Let w(s) be the third derivative of -s**4\/4 + s**2. Let v(b) = 2*b. Let i(y) = m*w(y) + 17*v(y). Let o(g) = -g. What is o(i(p))?\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 900125 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5502, -11198, -16894, -22590?\n\"Answer: -5696*i + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47168 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 180 divided by 90?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3284 is divided by 826.\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + 0)\/(6\/(-12)). Let y(g) be the third derivative of g**6\/120 + g**5\/60 - 39*g**2. Let b(l) = -l**3 - 6*l**2. Determine h*y(x) + b(x).\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19*-467.902.\nAnswer: 8890.138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 u when two letters picked without replacement from {d: 4, w: 3, u: 1, q: 2}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1052504 - -4?\nAnswer: 1052512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 28437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/3*(-1 + 20\/25). Let n = 3224 - 3220. Which is the nearest to i? (a) 0.4 (b) n (c) 5 (d) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + sqrt(18))\/sqrt(6)*1.\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -4, 22 in ascending order.\nAnswer: -27, -4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + w = 5*w + 25, 5*j + w = 80. Suppose -5*c = -4*n - j, -8*c + 3*c + 15 = -2*n. Suppose -3*s + 3264 + 555 = n. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3747 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + 134. Let w = -147 + h. Let f = -0.03 + 0.33. Which is greater: f or w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, -0.1, -3390?\nAnswer: -3390","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 37\/12*m**4 + 0 + 0*m**5 + 0*m**3 + 0*m**2 + m**6 + 36*m. What is the third derivative of b(l) wrt l?\nAnswer: 720*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26713 + 26712.9967026. What is d rounded to 5 dps?\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j + 28 = 248. Suppose -j*o - 7*o + 87 = 0. Calculate the remainder when 85 is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 922694136?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -744 or -719?\nAnswer: -719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.11679852 to 2 dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 4, 6*c - 4*c - s = 71. Solve -c*y - 2 = -35*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 56 = -0*q. Let u be 84\/1*12\/14. What is the greatest common divisor of q and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14621 (base 14) in base 4?\nAnswer: 30112211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g + 11. Give q(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 4*h + 3088, -288*h + 285*h - 1547 = -2*p. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-15) - (-348)\/90. Let y be (-31)\/(-18) + 90\/(-60). Put t, 1\/3, y, -3 in decreasing order.\nAnswer: t, 1\/3, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42 + 42.08. Let y = -0.22 - w. Which is the third smallest value? (a) y (b) 9 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000013015 rounded to six dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-626 - 659 - 4*z + 1316)*(-z + 2*z - 3*z) to the form m*z**2 + o + y*z and give y.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4685075.614 rounded to the nearest one hundred?\nAnswer: -4685100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-335)\/1474)\/(4\/16)?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.3 times 61?\nAnswer: -201.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200149 is divided by 4084.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + d)*((2 + 0 + 8)*(0 - 4 + 1) - 3 + 0 + 5 + (1 - 1 + 11)*(-1 + 4 - 4) + 3 + 0 - 2)*(5 - 5 - 1).\nAnswer: 38*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288*x + 31245 = -991*x - 18636 for x.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 21*h + 9. Let x(l) = 11*l + 5. What is 6*o(w) - 11*x(w)?\nAnswer: 5*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*c = -70*c - 15 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -35223235?\nAnswer: -35223235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3548 - 3219. What is the remainder when u is divided by 74?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u, -5*a - 23*u + 238 = -72 for a.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6391.623ml to litres.\nAnswer: 6.391623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t**3 - 130*t**2 + 43*t + 1. What is y(43)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 3*l + 6*l - 3 = 0, -l = -3*m - 1. Let u(c) be the first derivative of 0*c - 1\/4*c**4 + m*c**2 - 2 - 1\/3*c**3. What is w in u(w) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 228 + -52. Let y = 8 + -5. Suppose -56 = -y*h + 2*n, 3*h + 4*n = 5*h - 48. Calculate the highest common factor of h and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-12)\/(-39))\/((-2044)\/5694))\/((-6)\/(-63))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3919 is divided by 65?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/14)\/(3033\/(-126) - -20). Which is the closest to 0? (a) q (b) -4 (c) 0.4 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/6)\/(5\/40)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 850.871kg in grams?\nAnswer: 850871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 0*q = -0*q - 4*r + 14, -r - 14 = -9*q - 60 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 5:12 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 4*l - 250218, 6*l - 4*y - 187665 = 3*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 11*d**2 - 4*d. Let a(m) = 34*m**2 - 11*m. Let r(k) = 4*a(k) - 11*f(k). Let q(g) = 48 - 37*g**2 + 35*g**2 - 48. Determine q(r(w)).\nAnswer: -450*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2772206.\nAnswer: 2, 31, 61, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9\/5? (a) 2\/783 (b) 0 (c) 0.6 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 259 + -12690\/49. Which is greater: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*b**2 + 0*b**3 - 21*b**2 + 0*b**4 + 36*b**2 + 2*b**3 + 3*b**4 + 5*b in the form y + o*b**3 + m*b + g*b**2 + l*b**4 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of -1\/6*j**4 + 0*j**2 + 0 + 0*j**3 + j + 9\/10*j**5. Find the third derivative of k(p) wrt p.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 + -0.069932?\nAnswer: 0.230068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 2*r**2 + 2*r. Let q be t(2). Let z = 69 - 66. Solve 5 = z*k - q for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -9*q**3 + 4763*q**2 + 3697*q + 6902. Calculate v(530).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 4:24 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -15, 2*f = -4*o - 7 - 3. Suppose c = -f + 10. Solve c*g - 11 - 9 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260*j - 4106 = -2286 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*f = 409 + 50 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 1. Suppose 1317 = u*s - 2109. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r + 3. Let o(v) = 2*v + 7. Let m(p) = -7*b(p) + 3*o(p). Suppose 0*y - 5*y + 55 = 0. Let z(c) = 6*c. Give y*m(w) + 2*z(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1011539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 3 + (0 - (-2 + -3))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -17*k - 3. Let x(r) = -8*r - 1. Suppose 8*z - 54 + 6 = 0. Let a(b) = -3*b + 31. Let l be a(z). Calculate l*x(y) - 6*q(y).\nAnswer: -2*y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -286530.0089 + 286624. Let p = -265 + 171. Let v = j + p. Round v to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y - 7 + 31 = 0. Suppose -y*t = -5*p + 1545, 0 = -2*p - 5*t + 214 + 435. What are the prime factors of p?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2893 - 1681. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -152?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h - 5. Let v be y(7). Is ((-15)\/6)\/(v\/(-76)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 4*j**2 + 4*j + 5. Suppose 0 = i + 3 - 8. Let g be l(i). Let o = 0 + 5. Solve v + g*n = -n, -o*v - 4*n = -2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of 0*m**4 + 41\/210*m**7 + 0*m**3 + 3\/20*m**5 + 1\/120*m**6 + 8 - 2*m**2 + 0*m. Find the third derivative of y(p) wrt p.\nAnswer: 984*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 1132440?\nAnswer: -1132431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/2? (a) -0.2 (b) -86 (c) -184 (d) 39\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r*(r*r**3*r)\/r*r))\/r**(-26))\/(r\/((r*r*r**49)\/r)*r\/((r**33*r)\/r*r)))**12 assuming r is positive.\nAnswer: r**1236","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5, 2, 33, 100, 215, 390, 637?\n\"Answer: 2*v**3 - 7*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 322 = 78. Let k be (-1)\/6 + u\/168. What is the nearest to 0 in 5\/4, k, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-44)\/462)\/(8\/(-14)) - (-16)\/(-42)*7.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1288 and 644.\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*t = -24*t - 3. Suppose -i + 15 = 4*i. Suppose -5*h = 5*a - 45, t*h - i*a - 26 + 5 = 0. Calculate the remainder when h is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/665293 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 - ((-36)\/126)\/((-13)\/(-1183)).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1936\/1365 + -32\/91. Let t = -2\/3 + v. Let w = 9060 - 9059.9. What is the smallest value in w, t, -3, -2\/13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87812 (base 12) in base 8?\nAnswer: -535716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 111 - 181. Let u = 72 + g. Let t = -1.2 + 2. Sort t, u, -2.\nAnswer: -2, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2088*n - 12 = 2084*n. What is the third biggest value in 0.1, n, 2.7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -809, -1904, -2981, -4028, -5033, -5984, -6869, -7676?\nAnswer: -8393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -25, 20, 137, 362, 731, 1280, 2045, 3062?\n\"Answer: 6*p**3 + 3*p - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 600.594 nanometers in centimeters?\nAnswer: 0.0000600594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 37\/5 - (-6)\/10. Let b(f) = f**2 + 10*f + 7. Let n be b(-8). Let t be (-16)\/(-6) - (-6)\/n. Solve u = t*d - 2 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 5*z**2 - 3*z + 3. Let q = 0 + 2. Suppose 0 = -q*g + 5*x, 3*g - 3*x + 0*x + 9 = 0. What are the prime factors of d(g)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/22 and 61\/10504?\nAnswer: 115544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23567*v**4 - 8398*v - 3.\nAnswer: -282804*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -2\/33, -49.99 in descending order.\nAnswer: -2\/33, -25, -49.99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -113113313 - -532?\nAnswer: -113112341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41\/((-4018)\/14)*1\/1.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence av when two letters picked without replacement from avgazazziaaazzazazaz.\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -4, -3, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 5*h = 13508577 - 13508488, -h - 31 = -3*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21a2a00 (base 11) in base 4?\nAnswer: 32231001313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 27*p - 79. Let d be x(12). Let h = -162 + d. Does 2 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 5. Let u = x - 6. Let j = -0.9 + 1.9. Which is smaller: j or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - l = 2*h + 8, -8 = h + 2*l. Let o(c) = c + 7 + 7 - 5. Is 9 a factor of o(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l - 2*l + 5*l)*(-1743*l**2 - 469*l**2 - 2671*l**2) to the form r*l + k*l**3 + w*l**2 + u and give k.\nAnswer: -14649","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*b**3 + 2*b**3 + 3*b - 9*b**3 - 9*b**3 wrt b?\nAnswer: -72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffzffzfff. What is prob of picking 2 z?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r**2 + 13*r. Let n(o) = 3*o**2. Determine l(n(k)).\nAnswer: -27*k**4 + 39*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, u: 1, t: 5, f: 3}. Give prob of picking 3 t.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.5, -0.15, -8 in increasing order.\nAnswer: -8, -0.5, -0.15, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**5\/4 + 141*w**4 - 84713*w**3\/4 - 908297*w**2\/2 + 197426577*w + 2592648058 = 0. What is w?\nAnswer: -77, -13, 218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/66 and 7\/660.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 9?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 232343115 to the power of 1\/5, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -998*x = -5964 - 25972 for x.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p. Let v(b) = -56*b. Give 84*i(g) - v(g).\nAnswer: -28*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2016574, 4033128, 6049682, 8066236?\n\"Answer: 2016554*r + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 71148 and -0.509?\nAnswer: -36214.332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.8 and 0.5?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fbbbffbfbfbbuffbub. What is prob of picking 2 f?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(-9)*-3)\/((-6)\/(-450)). Suppose 3*f = 5*u + 461, -6*u + u = -r. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*n + 23*n = 168. Let i = 63 - n. Let g = 88 - i. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -d**4\/4 - 2*d**3 - 3*d**2\/2 + 66441. Suppose -5*l + 2*l = 18. Let w = l + 1. Give y(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-5 - -2 - (0 + (-3 - -2))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 8:41 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -1365*h**2 + 188370*h - 1. Calculate g(138).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.07 and 2331.\nAnswer: 163.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**3 - 2*k - 13. Let q be t(-2). Solve q*m = 8*m + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3200 - -3297. Calculate the highest common divisor of f and 2910.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - i - 4. Let d = 380 + -380. What is z(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -20201110100?\nAnswer: 20201110033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -s**4\/2 - s**3\/2 + 14*s. Suppose 3 = 7*n - 11. Let t(z) = 0 + 5*z**2 - 9 + 9 + n*z. Determine 3*j(g) + 4*t(g).\nAnswer: 2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 29544179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 5*k**2 + 6. Calculate t(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*a - 102 + 25 = 0. Let r(x) = x - 1. Let v(t) = 8*t. What is a*v(h) - 2*r(h)?\nAnswer: 6*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/((-3)\/(-21)*-1). Let y = x + 57. Suppose 3*s = -s + y. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(13) - (sqrt(1872) + -2))*-1 - (-4 + sqrt(208)*1)**2).\nAnswer: -452 + 86*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4977 - 3686. Does 3 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168 and 3506370?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.135938 weeks to microseconds.\nAnswer: 3711015302400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8, -44, -134, -302, -572, -968, -1514?\n\"Answer: -4*h**3 - 3*h**2 + h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*g + 557 = -1302 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 20 = 4*s. Factor -b**2 + s*b**2 - 2*b**3 - b**2 + 4*b**3.\nAnswer: 2*b**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 1 - 5. Let v = -25\/34 - -4\/17. Put 5, f, v in descending order.\nAnswer: 5, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5100 + -3147. Is t even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5837700 rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17550 - 8009. Is z a multiple of 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1098 + 17571\/16. Which is the third biggest value? (a) 0.5 (b) h (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/16 - 87\/116. Solve 4*c - 122 + 130 = m for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16269954 to the nearest integer?\nAnswer: 4034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3211703 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 0, -1, -104 in decreasing order.\nAnswer: 3, 1, 0, -1, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/2 + 8373757*l - 70119806295049\/2.\nAnswer: -(l - 8373757)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -4*a - 2. Let b(z) = -4*z - 2. Let p(k) = 5*b(k) - 4*r(k). Let u be p(-2). Suppose 420 = u*y - y. Does 21 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(-3) + -4 + 48\/9. Suppose -2*a + 323 - 2 = -x, p*a - 471 = -2*x. What is the remainder when a is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (630\/(-75))\/((-4)\/(-10)). Put v, 4, -2 in increasing order.\nAnswer: v, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 4*t + 674 - 706 = 0, -2*j = 3*t + 9. Let g = 108 - 46. Let c = -38 + g. Calculate the lowest common multiple of c and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -2*f**7\/105 + 13*f**6\/120 - f**5\/4 + 7*f**4\/24 - f**3\/6 - 35*f**2. Factor d(y).\nAnswer: -(y - 1)**3*(4*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 52*w - 638. Let z be l(32). What is the closest to 1 in -17, z, -1, -6?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 (base 9) in base 10?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 234820 and 590?\nAnswer: 234820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46856.7 millilitres to litres.\nAnswer: 46.8567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t - 5*t - 7*t + 13*t. Let d(x) = -x**2. What is d(v(s))?\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 679, 668, 655, 640, 623, 604, 583?\nAnswer: 560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(99) + 1 + sqrt(99)*-4 - (sqrt(275) + 2 - (-2*sqrt(275) - sqrt(275))))**2.\nAnswer: -46260 - 290*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 greater than 44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -270 divided by -3\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 22*d**2 - 16*d - 82. What is the thousands digit of l(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 4*t**2 + 3216898*t\/3 - 536150\/3 = 0.\nAnswer: -268075, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-2) + 13 + 1. Solve -2*u = -p + 6 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -2 + 9 + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-12)\/(k*k**(-2\/21)))\/((k*k*k*k**10*k*k*k)\/(k\/k**(-15))) assuming k is positive.\nAnswer: k**(-271\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2849 = -295*i + 302*i. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**2 - 13*p - 14. Let s be u(7). Calculate the remainder when (-3 + -9)*s\/3 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 7*s - 61. Let k be a(17). Find the third derivative of 0*b**4 + 546*b**2 - 471*b**2 - k*b**4 wrt b.\nAnswer: -1392*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a = -4*a + 11 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (80\/24)\/((-6)\/(-9))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 7*l**2 - 1. Let u(g) = 4*g**3 - g**2 + 1. Let c be u(1). Let z = -3 + c. What is r(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*k + 212912 = 25*k + 32962. What is the least common multiple of k and 14?\nAnswer: 20650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 6*l + 15. Let t(w) = -w**3 - 3*w**2 + 6*w + 3. Let h be t(-5). Let g = h + -12. Calculate the smallest common multiple of g and i(6).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1242*k**3 + 362*k**3 - 3*k + 14*k.\nAnswer: 1604*k**3 + 11*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3*t = -138, -2*v + 0*t - 3*t = 96. Calculate the common denominator of -15\/8 and 16\/14*v\/9.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142186331.\nAnswer: 7, 2399, 8467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - 0. What is the nearest to 0 in -0.5, 0, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 604617538.\nAnswer: 2, 7, 263, 164209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12 - 356738?\nAnswer: -356726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*i - 599 = 0, 0*m - 3*i - 351 = 3*m. Let b = 69 - m. Does 11 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 131 - 114. Suppose 9*d - a*d + 120 = 0. Solve -4*z - d = z, 0 = -2*t - 4*z - 10 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y + 3*y + 5*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a17 (base 11) to base 2.\nAnswer: -10011001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 266.09 from -509960086.\nAnswer: -509960352.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -2350?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000967839079 rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -165, -176, -209, -270, -365, -500, -681?\n\"Answer: -z**3 - 5*z**2 + 11*z - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**2. Let n(t) = 62*t + 52. Determine j(n(i)).\nAnswer: 7688*i**2 + 12896*i + 5408","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 t when two letters picked without replacement from ivitttrtrpiv.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((38 - 86) + 41 + 83 + -2)\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1469152, 1469151, 1469150, 1469149, 1469148?\n\"Answer: -c + 1469153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l + 20. Let x be y(13). What is the highest common divisor of 7 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((22\/7)\/1)\/((-11)\/(-77)). Let n = -9 - -6. Let d be n*1*-4 + -1. What is the highest common divisor of w and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/396 and -41\/259852?\nAnswer: 25725348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 40\/(-50)*(-10)\/4. Suppose 4*z - l*x = -26, -z = 2*z + 4*x - 8. Let j = z - -4. Which is the closest to j? (a) -3\/5 (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39061722 divided by 6\nAnswer: -6510287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-1))**29*(q**(6\/11)\/q)\/(q\/(q**8\/q))*q**(-7)\/(q\/q**(-4))*q**(-1\/14)\/(q*q**(-1\/11)) assuming q is positive.\nAnswer: q**(7787\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -8\/5 (c) 0 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**3 + 4*m**4 - 2*m**3 + (m**3 + 3*m**3 - 6*m**3)*(-2*m - 3*m + 3*m) + 2*m**4 + 2*m**3 - 2*m**3)*(3 - 6 + 2) - 2*m + 2*m - 3*m**4.\nAnswer: -13*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38110540.\nAnswer: 2, 5, 13, 23, 6373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 138171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -163 - -353. Is d a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 1 (b) 2\/11 (c) -1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 - -24.99999955. Round n to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1275 and 459?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 1 + 0)*(-44*v + 242*v + 46*v + 229*v - 42*v) as t + z*v and give z.\nAnswer: 3017","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + b + 896 = q, -4*b - 720 = -4*q. Let w = 169 + 155. Let p = w - q. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -22790, -22788, -22786, -22784?\n\"Answer: 2*f - 22792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -1105*w**8\/14 + w**4\/12 - 716*w**2 + 3*w - 3. Find the third derivative of m(a) wrt a.\nAnswer: -530400*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 14.052. Let r = t - -0.01. What is r rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5026 less than -30796722?\nAnswer: -30801748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 + (-4 - -1 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/8)\/((-90)\/(-144)). Suppose -3*o - 2*o = 15. Which is the nearest to -1\/2? (a) o (b) 0.5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 191 - 147. What is the derivative of 45*u + 185 - 131*u**3 - 24*u - 21*u + w wrt u?\nAnswer: -393*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/(q*q\/(q**(1\/28)\/q)))\/q)\/q*q)\/(q**(-1\/27)*q)*(q*q*q**(-13\/5)*q*q)\/(q\/(q**(1\/22)*q)*q*q*q))**(-17) assuming q is positive.\nAnswer: q**(3874861\/41580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 670 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(-6*u - 2*u - 17*u) + 4*u + u - 2*u.\nAnswer: -47*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000436541477 to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 183, 494, 951, 1560, 2327, 3258, 4359, 5636?\n\"Answer: v**3 + 67*v**2 + 103*v + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/4 - 214*q**2 - 185725*q\/4 - 541875\/2.\nAnswer: -(q + 6)*(q + 425)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 5, -94, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -4*r - 7. Let g(o) be the third derivative of -o**4\/24 - o**3\/6 - 3*o**2. Let f(k) = 5*g(k) - n(k). Let t be f(6). Put t, 5, -5 in descending order.\nAnswer: 5, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) - (4*(1 + sqrt(45)))**2) + (sqrt(315)\/(sqrt(7) - sqrt(112)))**2.\nAnswer: -731 - 93*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 15*u - 51 = 0, 2*r + 1245*u - 1246*u = -21 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/1068 and 53\/2136.\nAnswer: 2136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7 + (-240)\/(-15) - 10. Let b(c) be the second derivative of 2*c**4\/3 - c**3\/2 + 3*c**2\/2 + 6*c. Let u(o) = -o**2 + o - 1. What is d*b(a) - 3*u(a)?\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.8 + -1.7. Which is the closest to p? (a) -1\/2 (b) 0.4 (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1*q**(-2\/7))\/(q\/q**(-1\/2))**(2\/9) assuming q is positive.\nAnswer: q**(8\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 4:15 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 92822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of s**5\/36 - 5*s**4\/36 - 5*s**3\/6 - 84*s**2. What is q in g(q) = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*n - n + 32*n.\nAnswer: 75*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -51428a (base 11) to base 14\nAnswer: -176c08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 6) to base 15\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142851058.\nAnswer: 2, 7, 2549, 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1656*q - 392 = 1600*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r + 170. Let s be w(-40). Let j(t) = 3*t**3 - 17*t**2 - 18*t - 55. What are the prime factors of j(s)?\nAnswer: 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.85896 + -0.14104. Let i = -0.2 + -1.8. Which is the closest to 0.2? (a) 1 (b) i (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 837\/155*(-45)\/(-27)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46498*b - 3219*b + 97815*b.\nAnswer: 141094*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q*q**(4\/7)*q)\/(((q*q**(1\/3))\/q)\/q))**(18\/7)*(q**1)**(4\/17)*(q*q**(1\/2))**(-32) assuming q is positive.\nAnswer: q**(-28568\/833)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107 = -106*n - 277 + 66 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -273315 or -273316?\nAnswer: -273316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2007, 1593, 903, -63?\n\"Answer: -138*r**2 + 2145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -344 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/((f**(-11)*f*f)\/f)*f*f**9 assuming f is positive.\nAnswer: f**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -318 + 327. What is the lowest common multiple of 10 and s?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -216 - 3*l + 2*l**2 + 2*l - 3*l**2 + 207. Calculate t(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -6*w - 8. Let l(g) = -2*g - 3. Let a(u) = -8*l(u) + 3*t(u). Let z(y) = 4*y**2. Give a(z(n)).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.11, 2\/3, 4, 3\/8, -0.1, -989\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 753a63 (base 13) to base 4.\nAnswer: 22133130022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -39375*l - 236238. Determine b(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*p**2 - 3 - 65*p**2 - 17*p**2 as o*p**2 + y + c*p and give o.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -282 or -101?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -7592550 rounded to the nearest ten thousand?\nAnswer: -7590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23 + -1233?\nAnswer: -1210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -1\/6*w**3 + 0 + 2*w + 0*w**2. Let t(z) = 6*z**2. What is u(t(i))?\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vce when three letters picked without replacement from eoeevoveeeccloelvv.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 141 - 150 - (-1 + -17)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of z**3\/21 + 3*z**2\/7 - 55*z\/7 + 1062. Factor w(d).\nAnswer: (d - 5)*(d + 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2932*g - 584 = -2786*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-20) + (-62)\/(-5). Suppose 0 = 4*o, -5*i + 2*o - o = -480. Calculate the highest common factor of r and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**3 - 31*f**3 + 16*f**3 - f**3.\nAnswer: -21*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, m: 1, i: 3, p: 2, b: 3}. Give prob of picking 1 i and 1 k.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-256)\/(-448)*42\/(-2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 2:28 AM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4, 4, 0.085?\nAnswer: 0.085","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/26 in 0.5, -30\/47, 11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -12919, -25841, -38763, -51685?\n\"Answer: -12922*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 9, v: 2, e: 1, u: 6, i: 1}. Give prob of sequence iv.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-216)\/(-288))\/((-9)\/(-264))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -j - 2*j + 5*j + (-1 - 3 + 3)*(-2*j - 1 + 1) - 3*j + 4*j + 0*j + 3149*j + 3382*j - 15203*j as f + i*j and give i.\nAnswer: -8667","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.9, 14.1, -1, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 2*d + 1139, 0 = 2*m - 7*m + 3*d + 1900. Let t = 2266 - m. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {q: 5, r: 10, z: 2, t: 3}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 5*b + 1. Suppose u + 0*u = 0. Suppose l + 2 - 3 = u. What are the prime factors of k(l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(1331)*-3.\nAnswer: -33*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2 - 7 - 126589*f - 5410*f. Let a be 2\/(-10) + (-78)\/(-15). Let r be w(a). What is r rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 3 = 3*a - y, 2*a - 9 = -3*y. Let p = -4061 - -4056. Let m = 26 - 22. Sort a, p, m in increasing order.\nAnswer: p, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8.471 and 0.3?\nAnswer: 8.771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1368778, 1368777, 1368776?\n\"Answer: -v + 1368779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 28 = 2*u + 24, -u + 4*h + 13 = 0. Solve -5*g - 40 = u*j, -27 = 3*g - 3*j + 7*j for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 142991?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 9:37 AM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -j**4\/4 - j**3\/3 + j**2\/2 + j - 32. Let a be s(-1). Suppose -19 = -i - a. Is 19 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -940\/3, 24, -8?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b - 2. Let h be j(3). Let r be 7 + (1 + -2 - h). What is the greatest common divisor of 2 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 497197?\nAnswer: 497197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1719991 and 533?\nAnswer: 1719991","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19421922 by -1142466.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 5 = -7*l + 6*l, -f - l = -5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 738*n**2 + n + 27. Is g(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 86, 88, 90?\n\"Answer: 2*r + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*l - 3861 = -1760 + 4250. What is the remainder when 463 is divided by l?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 651138347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -46*p + 10. Let d(a) = -a - 1. Let q(y) = 10*d(y) - s(y). What is the remainder when q(5) is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -3*r**4\/4 + 72*r**3 + 3339*r**2\/2 - 3552*r + 7245\/4 = 0.\nAnswer: -21, 1, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1107\/11 - -101. Let d = -3505.1 - -3505. Let h = 0.6 + -0.2. Which is the closest to d? (a) 4 (b) h (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2 + 0.1. Let x = -25 + 23.6. Let z = x - -2.4. What is the nearest to z in -0.2, c, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -985? (a) -5\/2 (b) 2 (c) 158 (d) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 988165903 to the nearest integer?\nAnswer: 996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 483754665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*j = -7715235, -15430454 = -2*m - 4*j + 2*j. Let x = m + -4575229. What is x rounded to the nearest 100000?\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 0.4. Let z = 15348 - 107440\/7. What is the closest to q in 4, -4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 2\/3, 5, -9, 1\/353, 2\/5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -13345 divided by 3\nAnswer: -13345\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 98 - 60. Let y = i + -47. Let q(z) = z**3 + 9*z**2 - 6. Give q(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -641, -645, -651, -659, -669?\n\"Answer: -f**2 - f - 639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = k - 15, 2*d + 2*k - 10 + 36 = 0. Let c = 9 + d. Let q(g) = -2*g + 2. List the prime factors of q(c).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 997789189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*m - 85690, -125*m + 122*m = 4*g - 64296. List the prime factors of m.\nAnswer: 2, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 703550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*f**2 + f**2 + 82*f**2)*(-80 + 47 + f**2 - 3*f**2) to l + k*f**2 + v*f + r*f**4 + n*f**3 and give k.\nAnswer: -2343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28186382 or 28186384?\nAnswer: 28186382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = j - 92, -4*s - 20 = -5*j - 82 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 382151370, 382151368, 382151366, 382151364, 382151362, 382151360?\n\"Answer: -2*i + 382151372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 27\/12)*(0 - 1). What is the nearest to 0 in 1\/3, -0.3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(12) + sqrt(48)*1)\/(sqrt(128)\/sqrt(2) - sqrt(4)) - (4 + -2 + 4*4*(sqrt(3) - sqrt(6)\/sqrt(2))))**2.\nAnswer: 24*sqrt(3) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4 = 0, 0*y - 12 = -2*y + 2*t. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59 + -60. Let z be 174\/(-9)*-3*(0 + i). Let n = z + 347\/6. Sort n, -1\/5, 3 in descending order.\nAnswer: 3, n, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 4*s + 52, s + 34 = 3*v - 0. Solve 0*k - 3*k = v for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**5 - 5*j**5 + 2*j**5)*(1 - 1 - 2) + 566*j + j**5 + j**4 + 568*j - 1146*j.\nAnswer: 5*j**5 + j**4 - 12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o + o + 5*o + (2*o + 0*o - o)*(-3 + 4 + 1) + 26*o + 12*o + 3*o + (-2*o + o - o)*(-1 + 0 + 3) to the form p + v*o and give v.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16743 is divided by 67?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**3 - 5*t**2 + 5*t - 4. Calculate the least common multiple of 14\/35*(23 + 2) and p(3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*i**2 + 13*i**2 + 4*i**2)*((1 + 2 - 1)*(-i - 2*i + 5*i) - 3*i + 18*i - 11*i) to s*i**2 + t*i + w + h*i**3 and give h.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - 20. Let a be 1*(h + 4 + -1). Suppose -5*w = -d + 2*d + 23, d + a*w = -13. Solve -2 = x, -d*x - 13 = -c + 2*x for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*u**5 - 9*u**5 + 8*u**5 + (13 + 27*u**4 - 13)*(1 + 2*u - 1).\nAnswer: 66*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 357031?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of p**6\/24 - p**3\/3 + p**2\/2 + 3. Let r(a) be the second derivative of v(a). Differentiate r(u) with respect to u.\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.26, -0.05, -3, -6, -0.5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -7. Suppose i + l*i - 249 = 0. Suppose 3*g - i = -0*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-75) + (-31)\/15 + 3. Which is the closest to 5? (a) -4 (b) 1\/5 (c) m (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 8*j**2 + 12*j - 2. Give y(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from onpofozopgoozoozpn. What is prob of picking 1 o, 1 z, 1 g, and 1 p?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 675118038 to the nearest integer?\nAnswer: 877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 27\/(-6))*(-24)\/(-39). What is the second biggest value in h, 31, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 2*k. Let s be b(-2). Suppose m + 0*m - 3 = s. Suppose 0 + 12 = m*i. Solve -i*d = -0*d - 3*u + 28, 4*d = -3*u - 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 + 35. Let q be 34\/o + 8\/(-20). Suppose 0*z + 4*z - 8 = 0. Solve -8*i + 3*i + q*v = 2, z = -2*v for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 193*p - 188*p + 55 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-0.8712.\nAnswer: -0.26136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 21*m**2 - 5*m**3 + 7*m**3 + 2*m**3 + 12 - 3*m**2 - 34*m + 14*m. Let o(d) = -3*d**3 - 12*d**2 + 13*d - 8. Let z(n) = 5*b(n) + 7*o(n). Factor z(w).\nAnswer: -(w - 4)*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6652\/7 + 10\/(-35). List the prime factors of t\/22 + (-6)\/33.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w + 2. Let r(b) = -b**3 + 7*b**2 - 5*b - 4. Let h be r(6). Give g(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 6203 = x, 0 = 2*x + 2*k - 2094 - 10300. Calculate the highest common factor of 231 and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r = 2*a - 12*r + 77, -5*a = 16*r + 122 for a.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1027035972 and 1668.\nAnswer: 1668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 40779538 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 j = 34325\/3 + -11545. Which is smaller: -7 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -2\/19 (c) -5 (d) 0.5 (e) 4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1444.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2293, -4636, -6987, -9352, -11737, -14148?\nAnswer: -16591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1025008*0.1\nAnswer: 102500.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - (3 - 0))*20\/(-16). Suppose 3*k = i + 7. Suppose k*m - 12 = 3*m + 4*p, 2*m + 5*p - 37 = 0. Solve 0*t + m = -4*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13097258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -143\/42 + 82\/21. Let c(l) be the first derivative of 4*l - 12 + u*l**2. What is c(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 3, 6, 0.66, 10, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 6)*1\/(-4). Let n be (-6 - -3 - -7) + s. Differentiate g**n - 4 + 67*g**2 - 67*g**2 wrt g.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62835*f**2 - 62834*f**2 - 427*f + 431*f.\nAnswer: f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -1 + 2 - 9*w**2 + 3*w + 10*w**2. Let f(s) be the third derivative of s**4\/6 + s**3\/6 - 3*s**2. Let h be f(-1). Determine n(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*b + 6*b - 2*p + 14, 3*b - 21 = 3*p. Solve 0 = 4*c + b*r + 8 + 12, 5*c + 2*r + 10 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 2\/51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*h = 64 - 63, 17 = 4*b + 5*h. Solve -b*w - 12 = 0, -2*q + 4*w = -q - 18 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2624915362 to the nearest integer?\nAnswer: 51234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times -39.3?\nAnswer: 275.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*a = 8958 - 156886. What is the greatest common factor of 205 and a?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/30)*s\/(s**17\/s) assuming s is positive.\nAnswer: s**(-451\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2177+30\nAnswer: -2147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -3, 8, -0.43?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(7))*-4 + -5)**2*1.\nAnswer: 72*sqrt(7) + 193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -568 divided by -8?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -51, -104, -169, -240?\nAnswer: -311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-6)*(-36)\/(-96)*0\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -21) + (18 - (-9 - -31 - 10)) - -5.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -0.2, -0.081, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -12 (b) -84 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 14*a + 102 = 2, 0 = -5*b + 4*a - 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d**2 + 5 - 11 + 6.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/34105, 0.126.\nAnswer: 2\/34105, 0.126, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 - 14*w + 13.\nAnswer: (w - 13)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-8))\/((-39)\/98982) + -3. Which is bigger: z or -319?\nAnswer: -319","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 383778 a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 40 = 3*k. Let a = -8 - k. Solve a = 2*y + 2*s - 8, 2*s - 6 - 2 = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*l = 16 + 29 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 296 = -6*m. List the prime factors of m.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -101 + 87. What is the least common multiple of (105\/v - -9)*(-20)\/(-1) and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 264 - -a50d?\nAnswer: a771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a - 2, 0*u + 5*u - a - 1 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {w: 1, x: 7, f: 12}?\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 9:10 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**4 + 1590*t**3 + 5070675*t**2 + 1514849000*t.\nAnswer: -5*t*(t - 1288)*(t + 485)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290*m = -286*m - 2096. Is m a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/1000 and -163\/600.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 473 - 515. Let w be (20\/14)\/((-6)\/g). Suppose 0 = -b + 4 + 16. Calculate the greatest common factor of w and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*n = -114375, n + 6 = 11. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41884 is divided by 86?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**2 - y - 1. Let g be k(2). Which is the nearest to 0.2? (a) -1\/10 (b) g (c) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1086581221?\nAnswer: 11, 41, 2409271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87, 80, 71, 60, 47, 32, 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -3122010020?\nAnswer: -3122010012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-8 - -9) - (9 + -17).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from glmymg. What is prob of sequence ly?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-8)\/(l*l\/l**(3\/8)*l))**8 assuming l is positive.\nAnswer: l**(-85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -85, -141, -215, -313, -441?\nAnswer: -605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5383003009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2436*b + 2292*b - 1290*b)*(-4*b**2 + 4*b**2 - 2*b**2).\nAnswer: -6876*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 254647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*b**2*p**3 + 1802*b**2*p - 6467*b*p**2 + b + 3020476*p**4 - p**2 + p wrt p?\nAnswer: -42*b**2 + 72491424*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**2*d**2*g**3 + 83*c**2*d*g**2 + 45*c*d**2*g**3 + c*d*g**3 - 2*c*g - d*g**2 wrt d.\nAnswer: -4*c**2*g**3 + 90*c*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2387.718 to 0 decimal places.\nAnswer: -2388","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/8, 76, 1, 5, -4\/59, 6\/13?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 614 = -282. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 2010?\nAnswer: -2020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -649983000 rounded to the nearest one million?\nAnswer: -650000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 390081 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19920 and 3881910?\nAnswer: 31055280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a gram in milligrams?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/38 greater than or equal to -159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*g + 9 = 2*g, 0 = -2*z - g + 3. Solve -3*y - 6 = 0, z*s - y - 12 - 6 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5186156 is divided by 756?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9037, 10423, 12731, 15961?\n\"Answer: 461*h**2 + 3*h + 8573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = 23*v - 63 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 3*m + 2. Let z be w(3). Let c = -10\/3 + z. Which is smaller: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - 28. Let y = 96.7 + -53.1. Let i = p + y. Round i to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.05 plus -6.8?\nAnswer: -9.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-1))\/r)\/r*r**(1\/2)*r)\/(r**(-3)\/(r\/r**(-2\/3))) assuming r is positive.\nAnswer: r**(25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -120, -155, -204, -267, -344, -435?\n\"Answer: -7*n**2 - 14*n - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lm when two letters picked without replacement from {x: 1, w: 6, m: 2, y: 1, u: 5, l: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 13*b**2 - 6*b. Let c(t) = -24*t**2 + 11*t. Let i = 146 - 135. Let n(y) = i*d(y) + 6*c(y). Let r(f) = 12*f**2. Calculate n(r(w)).\nAnswer: -144*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 15726*s**2 + 50*s - 39. What are the prime factors of q(1)?\nAnswer: 15737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*k = 60. Let g be (k\/(-6))\/2*-102. Does 9 divide g\/(-20) + (-2)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zzzzwzzwww.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 + 6 + -16 + 126.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -2 - 8. Let t(a) = -3 - 10 - 2*a**2 + 6*a - 1 + 10. Let p(y) = -3*y**2 + 7*y - 5. Give u*t(o) - 4*p(o).\nAnswer: 2*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*2\/3)\/(693\/(-828) - (-162)\/216)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wd when two letters picked without replacement from diqqkyykiyykkwyyk.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16479311 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - ((-2)\/(-2) + 15). Let i = h + 19. Suppose 3*n + 5*p = 28, 0 = i*n - 0*n + 4*p - 24. What is the highest common divisor of n and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(195\/2))\/((-3)\/45). Does y = 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 3*r - 90 = -2*r, 5*r = u + 30. Sort 2, u, -2.\nAnswer: u, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 213 divide 3492135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1162835 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -346, -355, -364?\n\"Answer: -9*j - 337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 861496.47s in hours?\nAnswer: 239.304575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -1, 4892.\nAnswer: -3, -1, 3, 4892","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 98280.34l?\nAnswer: 98280340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 4*w + 4. Let s = 97715\/18 - 5430. Let c = s + 113\/90. Which is smaller: w or c?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45190954 to the power of 1\/5, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 4590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 divided by 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, 5.2, 43\/7, -1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r. Let m(x) = -32*x + 40. Let f(w) = -m(w) + t(w). Let p be f(17). Is (2\/(-2))\/((-1)\/p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/9 of a week in minutes?\nAnswer: 14560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11 + 3*d**4 - 11 - d**3 + 3*d**4 + d**4 - 5*d**4 + (3*d**2 - d**2 - 4*d**2)*(-d - d**2 + d).\nAnswer: 4*d**4 - d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 8*o - 21. Let x be p(11). What is the second derivative of -15*f - 17*f - 8*f + 6*f**3 + x*f wrt f?\nAnswer: 36*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*j - 7*j + 92321 = 0, q = j + 92330. Let z = q + -10710017\/116. Calculate the common denominator of z and 49\/5.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*h + 22*h = -4. Suppose -14*i**2 + 3*i - 28*i**3 + 34*i**h + 5*i = 0. What is i?\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 989858207 to the nearest integer?\nAnswer: 31462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -8.9 * 75\nAnswer: -667.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57 - (0\/(-38))\/55.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -235208787, -235208784, -235208781, -235208778, -235208775, -235208772?\nAnswer: -235208769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 8*h**2 + 8*h - 4. Let z be f(7). Which is the smallest value? (a) z (b) 0 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26 or 25238\/969?\nAnswer: 25238\/969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -330*x - 3*u = -334*x + 666, -3*u + 174 = x. Calculate the highest common factor of 763 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.6 + 4.4. Let m = 5.7 - u. Let z = -173.1 + 173. Which is the nearest to z? (a) m (b) 2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 962155981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11450734 is divided by 99.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.4, 0.6, -22?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1669, -2642, -3613, -4582, -5549, -6514, -7477?\n\"Answer: w**2 - 976*w - 694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = -p + 2*p + 5*k, 48 = 4*p - 2326*k + 2330*k for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 310175305?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(263*b + 142*b + 460*b).\nAnswer: 865*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 4:08 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, p: 7, v: 1, a: 6}. Give prob of picking 1 a, 1 y, and 2 p.\nAnswer: 14\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2*f = 344, 5*f - 55 = -g + 99. What is the remainder when g is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -7*a**2 + 7*a - 2. Let s(l) = -7*l**2 + 9*l - 1. Determine -2*s(n) + 3*t(n).\nAnswer: -7*n**2 + 3*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 49, 81, 103, 115, 117?\n\"Answer: -5*s**2 + 47*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -55*d**2 + 0*d - 1 + 4*d + 3 + 2. Let a be c(-6). What is a rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4476*r**2 + 2193*r**2 - 1756*r**2.\nAnswer: -4039*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -137132 by 4.\nAnswer: -34283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 4*b + 12)*(b - 4*b + 0*b) + 26*b - 26*b - 2*b**2.\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 548 or 592?\nAnswer: 548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -26 - 16a732?\nAnswer: -16a758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(11) + -3 + -2).\nAnswer: -20 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 35144, 68476, 101808, 135140, 168472, 201804?\n\"Answer: 33332*t + 1812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38344 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of (4\/(-14))\/((84\/11417)\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -44 + 19 + 48722 + -17 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84)\/2016 - (-409)\/24?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2, -16, -44, -92, -166?\n\"Answer: -s**3 - s**2 - 4*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y - 63 = -2*y. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 14*p**2 + 30*p - 20. Calculate the remainder when 830 is divided by q(12).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13031*i**4 - 203*i**3 - 35*i**2 - 761*i + 71 wrt i?\nAnswer: 312744*i - 1218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/155 in -2, -42, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (1 + 0 - -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f - 14. What is i(10)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275)*3 + -2 + sqrt(275) - (1 + sqrt(275)*-2) - (4*(1 + sqrt(275)) + 1 + sqrt(275) + -3 + -3))**2.\nAnswer: -20*sqrt(11) + 279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**1)\/(l*l**(2\/29)*l))**(-3\/13) assuming l is positive.\nAnswer: l**(180\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2816884?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**3 + 13*p - 13*p + (-2*p**2 - p**2 + 5*p**2)*(5*p - p - 3*p) + 15*p**3 - 2*p**3 - 7*p**3.\nAnswer: 9*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2144*i - 182. What are the prime factors of r(-2)?\nAnswer: 2, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -3, -0.3, -2\/5, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**2\/15 - 144248*n\/5 - 865464\/5 = 0. What is n?\nAnswer: -216366, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 6*o + 3*o - 38, -3*o + 12 = 0. Calculate the remainder when 48 is divided by l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 6*d. Let c(o) = -440704530*o**2. Give l(c(n)).\nAnswer: -2644227180*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 1 = 2*d + 10, -3*d + 24 = 5*j. Suppose -j*a - 9662515 = y, -a - 3*a + 2*y = 12883360. Let i = a + -7079161. Round i to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bdnnbd. What is prob of picking 2 b?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*m**4 - 19*m**4 - 18*m**4 - 13*m + (2*m - m + m)*(-m**3 - 2*m + 2*m) to b*m**2 + x*m**3 + j*m**4 + k*m + g and give k.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 88\/(-1760)*190\/8 and -35\/24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-22)*96250\/3125?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -76054 - -76050. Let i be (-5)\/12 - (-1)\/4. Let g = 0.3 - -0.2. Which is the third biggest value? (a) g (b) i (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*((-12)\/10 + 1\/5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/26, -0.5, 0.9, -0.95?\nAnswer: -0.95","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -358605 by -13.\nAnswer: 27585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (6 + (-33)\/(-22))\/4*(-280)\/(-21)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 12*a**2 - 2*a + 2. Let u be r(1). Suppose 6*k + 24 = u*k. Suppose 20 = k*x - 4. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*(n**2\/n)\/n*n)\/(n*n**(1\/6)))**(1\/6)\/((n*n*n*n\/n**(-6)*n)\/n**(2\/15)*n**(3\/8)\/n**(-3\/5)) assuming n is positive.\nAnswer: n**(-4153\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -1.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*w**2 + 20*w**2 - 42*w**2.\nAnswer: -176*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 255029874 a multiple of 259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f + 6. Let r be t(-6). Let y = 0.06 - 3.06. Suppose 4*s = s + 6. Sort s, y, r in increasing order.\nAnswer: y, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*c**5 - c + 6*c - 2*c wrt c?\nAnswer: -60*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -27 - 1?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 4068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 5:56 PM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/(-1323))\/((-32)\/(-32))\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y - y + 7*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/3 - 27760*f\/3 - 192654400\/3.\nAnswer: -(f + 13880)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/((2\/1)\/1) + 1389.\nAnswer: 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2334 = -5*u - 3*k, -2*u + 6*u - 1875 = -5*k. Calculate the common denominator of 79\/2 and u\/10*4\/36.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 4*l**2)*((-2*l + 0*l + l)*(4 - 3 - 5) + 0 + 3*l + 0).\nAnswer: 28*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 447585\/(-119) - (-9)\/(-21). Let n = c - -3765. Let k = n + -2121\/374. What is the common denominator of -59\/14 and k?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 257*k**2 + 7*k + 5. Let h be ((-40)\/(-5))\/(2 + 0). Suppose 4*i = i + j - 10, -4*i - j - h = 0. Is l(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/280)\/((-14)\/70)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*h = -118*h + 101*h - 784 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of 0*v**3 + 0 - 40*v**2 + 49*v + 5\/12*v**4. Suppose q(j) = 0. Calculate j.\nAnswer: -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -5*o**3 - 5*o**2 + 6*o + 8. Let m be r(-4). Let z be m\/22 - (-10)\/(-55). Calculate the highest common factor of 30 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.5504 and -49234080.\nAnswer: -49234077.4496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 c when four letters picked without replacement from dcccddddcddcdd.\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 536556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f**2 + 122*f - 32. Let b(p) = 6. What is 5*b(u) + x(u)?\nAnswer: 3*u**2 + 122*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1461772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5180 - 5182 + 10362 - 6*i**2.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k + 4. Let n be g(-2). Let y(j) = -4*j + 16. Does 16 divide y(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + w - 4*o = -4, 0 = w + 2*o - 2. Suppose 4 = -w*z + 2*z. What is n in 16*n**4 - 29*n**2 + n + z*n**3 + 9*n**2 + n + 6*n**3 + 4 - 10*n**5 = 0?\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 229542, -15?\nAnswer: 229542","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 83591.2 rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -33176*o**2 + 497639*o + 3. What is j(15)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2615 - 1342. Is 2 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2023 + 21?\nAnswer: 2044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1966 = -258*u - 1192 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -10. Suppose -4*u + n*u + 416 = 0. Let c = -51 - u. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/52845039 and 56\/117?\nAnswer: 52845039","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 151125431?\nAnswer: 151125424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 12*623) + 0. Let w = k - -11187. Is w\/(-9)*(-12)\/8 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-2)*((-24)\/(-9))\/((-6)\/3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3689, 8401, 15081, 24713, 38281, 56769, 81161?\n\"Answer: 164*g**3 + 3564*g - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - l - 106 = -2*m, 5*m = 4*l - 99. Let h = -1859 + 1932. Let g = h - l. What are the prime factors of g?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(75) + 0 + 4)*-1 - (((sqrt(75) + -1)*4 + 1)*4)**2.\nAnswer: -19348 + 1915*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39 + -42. Let m = 0.5 + -1. Which is the second biggest value? (a) 1\/6 (b) m (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -141621 rounded to the nearest one thousand?\nAnswer: -142000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3680 and 41838240.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11995*x + 462444 - 17226 = -206825 - 247582 for x.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.144 - 81.144. Let x = 85 + p. What is the biggest value in 4\/7, 0.04, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3)*(b**4 - 6*b**4 + 2*b**4 + (b + 6*b - 4*b)*(3*b**3 - b**3 - 4*b**3) + b**4 - 2*b**4 + 0*b**4).\nAnswer: -30*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 12:45 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3114.9 + -3256. Let v = -141 - j. Let b = -224 - -2014\/9. What is the closest to b in 5, v, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 229 and 1178844139.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**3 - 10*k**2 - 10*k - 16. What are the prime factors of z(-6)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/15 (b) -4 (c) 55 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5405 + 8*p + 5416 - 10821.\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 10:26 AM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 13) to base 10\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 + -155.7. Let y = 155.035 + c. What is y rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 5*o - 15 = 0, 3*r + 0*o = 5*o + 9. Suppose 0 = n - r. Let z(k) = 4*k - 4. What is z(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 4*x - 37144, x + 4*x = 4*o - 37126. Let w = -4731 + o. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1568 a factor of 8810592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16955 - 7943 - 11363 - b + 1296.\nAnswer: -b - 34965","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 76, 870, -5, 1, -16 in ascending order.\nAnswer: -16, -5, 1, 76, 870","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 4*p**4 - 12*p**3 - 268*p**2 + 1308*p - 1512 = 0.\nAnswer: -9, 2, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*v**3\/4 + 109*v**2\/4 - 21*v - 109.\nAnswer: (v - 2)*(v + 2)*(21*v + 109)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -5.6, -5.64, -11\/3 in ascending order.\nAnswer: -5.64, -5.6, -11\/3, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 4*m**2 + 3*m. Let o = -13 + 10. Let h(p) = -p**3 + 7*p**2 + 5*p. Give o*h(l) + 5*q(l).\nAnswer: -2*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {n: 8, f: 1, s: 10}.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 4*q - 16208, 0 = -395*w + 397*w - 3*q - 8100. What is the hundreds digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (37 + -31 - (3 + 4)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13331329.\nAnswer: 11, 23, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.04 - -4.04. Let p = -288 + 412. Let m = p + -124.3. What is the nearest to m in -3, c, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141607 is divided by 73?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2602788050 and 23.\nAnswer: -2602788027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -13*i. Let n(o) = 28 + 20*o**2 - 12*o**2 - 28 + 6*o**2. Calculate s(n(w)).\nAnswer: -182*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1403*k + 14372 = 1407*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3*l - l + l)*(-2 - 2*l + 2) + 8 - l**2 - 8)*(0 + 2*l**2 + 0)*(-1 + 0 + 0) - 2*l**4 + 3 - 3 to c*l**4 + h + j*l**3 + y*l**2 + i*l and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*v**2 - 232 + 232 as s*v**2 + o + f*v and give s.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -11390*a - 81971 - 2*a**3 + 322*a**2 - 37915 - 10164 = 0. What is a?\nAnswer: -9, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (2 + 1) - 1 - (-217 - -213).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 - 20.3. Sort f, 5, 0.02 in decreasing order.\nAnswer: 5, 0.02, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9651 (base 10) in base 3?\nAnswer: -111020110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -6*m + 16. Let b be h(3). Let i be b\/((-7)\/(-20) - 6\/8). Suppose 0 = 5*p - 5. Sort p, -7\/4, i in descending order.\nAnswer: i, p, -7\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 63679085 and 100.\nAnswer: 1273581700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1328, -5217, -11698, -20771, -32436, -46693?\nAnswer: -63542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of 37\/2*h**2 + 1\/2*h**3 - 1\/12*h**4 + 0 - 3*h. Let b be g(8). Sort -1, b, -0.2 in descending order.\nAnswer: -0.2, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14 - -1634?\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*d - 1 + 27 - 17*d - 8*d**2 + 39*d - 16*d + 2*d**4 to the form c*d**2 + o*d**3 + x + k*d**4 + p*d and give x.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*b - 25*b - 11*b + 6.\nAnswer: -17*b + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 26698 = -26738 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 0. Let s be (-16)\/4*a - 9. Let u be 9\/(-6)*13*16\/(-12). Sort -1, u, s in ascending order.\nAnswer: s, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71300446?\nAnswer: 2, 7, 5092889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - 3)*(-j**2 - 2*j**2 + 2*j**2) + 33*j - 27*j - 9*j**2 - 1 + 4*j**2 to b + l*j**2 + s*j and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38 + 78. Let b = -394 + 754. Suppose -b - a = -7*h. Does 19 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 73 - 71. Let z be o\/(-5)*(-45)\/9. Let a = 19 - 15. Solve a*x = -4*r + 3*x - 9, 2*r + z*x = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 387\/3818 - 3\/83. Let i = 31\/230 + a. Let h(m) = -m - 6. Let b be h(-4). What is the smallest value in i, b, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/385155 and -4\/1585.\nAnswer: 385155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 73358 + -73358.2. Let c = -0.3 + 0.1. What is the nearest to c in -3, -0.1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 3700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298506813 is divided by 7264?\nAnswer: 7261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 + 6*c - 36.\nAnswer: 2*(c - 3)*(c + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 4:14 AM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 28*u**2 - 209*u - 28. Let w be t(-6). Solve -5*q + i + 7 = 0, -3 - 7 = -w*q + 4*i for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 11*d - 54. Let a be c(12). Suppose 98 = 4*k - a. Calculate the common denominator of (3 + 91\/(-56))\/(3\/k) and -9\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 0. Suppose -r - 4*p = -9*p - 15, -z*p - 18 = -2*r. Suppose -4*j = 2*m - 18, 3*j + 17 = -5*m + 41. Sort -3, j, r.\nAnswer: -3, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57380 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 308574918 to the power of 1\/3, to the nearest integer?\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*u + 2 = 47*u. Is -7\/10 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a century in months?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p - 8. Give s(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 277 = 7*u - 59. Calculate the greatest common factor of u and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1573)*5 + (((sqrt(1573) - (sqrt(1573) + -1)) + sqrt(1573) - sqrt(1573))*-5 - sqrt(1573)) - ((sqrt(1573)*-2 + -3)*-1 + -2))**2.\nAnswer: -1584*sqrt(13) + 226548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**3 + k**4 - k**3 + (2*k**2 + 0*k**2 - 4*k**2)*(3*k**2 + k**2 - 2*k**2) + 437*k**2 - 863*k**2 + 158*k**4 + 2*k + 428*k**2.\nAnswer: 155*k**4 + 2*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 400*g**4\/9 + 2060*g**3\/9 + 1102*g**2\/3 + 1672*g\/9 + 242\/9 = 0 for g.\nAnswer: -11\/5, -1\/2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of 13*h**6\/20 - 61*h**3\/6 - 62*h**2. Differentiate t(l) wrt l.\nAnswer: 234*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + d = 9. Let j be 15\/10 + d\/6. Let c(f) = -8*f + 4 + j + 15*f - 4 + f**2. Give c(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 12 - 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 166973?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -38*a*b*z**2 + 259*a + 2*b*z**3 + 3*b*z - 2*b with respect to z.\nAnswer: -76*a*b*z + 6*b*z**2 + 3*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4*j = 0. Is 20 a factor of (-4 - -61)\/(1 + j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 4)*6\/(-4). Suppose 0 = g - l*g + 10. Let y be ((9\/(-30))\/(3\/18))\/(-3). Which is the closest to 0.2? (a) g (b) y (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + -1*(-2)\/(-6). Let m = 16 - 14. Let l = -13.4 + 13. Sort l, o, m in descending order.\nAnswer: m, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 33 - 8)*(-i + 1 - 1)*(2 + 3 - 2) + (i - 2*i - i)*(3 - 6 + 1) + 4*i + 7*i + 0*i to o*i + l and give o.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114370782?\nAnswer: 2, 3, 19061797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -5. Suppose r*c + 1 = 51. Suppose 15 = 5*l - c. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 9 = -3*g. Let i(m) = m**3 + m**2 - 2*m. Let y(p) be the first derivative of -p**4 - p**3 + 7*p**2\/2 + 1. Calculate g*y(o) + 7*i(o).\nAnswer: -o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -5*sqrt(119)\/(sqrt(7) + -1*sqrt(7)*3))*4)**2.\nAnswer: -160*sqrt(17) + 1764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39317?\nAnswer: 39317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 74*j**2 + 2573*j - 193120. What is s(73)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i + 0*i + 0*i - 5. Let y(d) = d + 7. Let m(a) = a + 6. Let z(p) = 3*m(p) - 2*y(p). Let l be z(-4). Give x(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1180 + -69293?\nAnswer: -68113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 649*t**3 + t**2 - 3*t - 172801 with respect to t.\nAnswer: 1947*t**2 + 2*t - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 15*k - 5\/2*k**3 + 55\/4 - 105\/4*k**2 = 0.\nAnswer: -11, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*20*6\/(-5). Let i(d) = -2*d**2 + 13*d - 13. Let s be i(5). Suppose x + 75 = s*x - a, -348 = -5*x - 4*a. What is the highest common factor of x and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 3*w - 92 = 0, 0 = i - 2*i - 4*w + 23. Suppose i = -v + 3. Let s = v + 28. Calculate the greatest common divisor of 4 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - p + 4. Suppose 0*l - 121600000 = -4*l. Suppose 2*t = 6*t - 5*x + l, -p*t + 3*x - 15200000 = 0. Round t to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 13, 55, 161, 361, 685?\n\"Answer: 5*w**3 + 2*w**2 + w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccycchchyhccch. What is prob of sequence hc?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 9:02 AM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of 5*b**2\/2 - 2. Calculate the smallest common multiple of 20 and q(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 9822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3968250 to the power of 1\/2, to the nearest integer?\nAnswer: 1992","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -95 - -96. Let b be (-1 - -3)*(2 - 4). Suppose 18*h = -27*h + 10*h + 70. Put n, h, b in decreasing order.\nAnswer: h, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 6998 = 4*x, -5*o + 2*x = -0*x - 17455. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.209346 nanoseconds to milliseconds.\nAnswer: 0.000003209346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((12\/(-24))\/((-5)\/2))\/(230\/1150).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -92186*h**2 + 92186*h**2 + h**3 + 22*h**4 - h**5 + (-4*h**5 + h**5 + 5*h**5)*(-3 - 2 + 3) - h**5 + 0*h**5 + 0*h**5 - h**5 - h**5 + h**5.\nAnswer: -7*h**5 + 22*h**4 + h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 8, g: 2, x: 5, n: 1}. What is prob of picking 2 x and 1 n?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -95 + 175. Let m = s + -79. Suppose -35 = -4*r - r. Calculate the highest common divisor of m and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -208 - 3?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.214 + -0.086. Let g be (-1)\/(2*9\/(-6)). What is the closest to g in b, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2046, -4094, -6140, -8184, -10226, -12266?\nAnswer: -14304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 452 and 0.08.\nAnswer: 36.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36*o**5 + 2*o.\nAnswer: 720*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -52628*n**4 - 141122*n**4 + 2*n**2 - 5*n**2. Let m be f(-2). What is m rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -131586 divided by -13?\nAnswer: 10122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -40*l - 67*l**3 - 6*l**2 + 17*l + 16*l - 2. What are the prime factors of q(-2)?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 622.1 - -4940.9. Let w = s + -5558.871. Let l = w + -0.029. Round l to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.080416 plus -5?\nAnswer: -5.080416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 9 = -3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -69, -3, -5.1 in increasing order.\nAnswer: -69, -5.1, -3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1377308*z**3 + 502*z**2 + 5*z wrt z.\nAnswer: -8263848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001626582938 to six decimal places.\nAnswer: 0.000163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21850353 and 504.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2907 is divided by 623?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3197 - -9587\/3. Which is the nearest to -134? (a) q (b) -2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 444764 is divided by 149?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 - 14. Let i = 14 - o. Let d be 2\/i*(-336)\/(-3). Calculate the highest common divisor of d and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(2541)*-2 + (sqrt(2100) - (sqrt(2100) + 1*sqrt(2100))) + sqrt(2100))\/(sqrt(56)\/(sqrt(24)\/sqrt(3)*-1)).\nAnswer: -66*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 3536.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 19*d + 39536 = -20*d, -d = -4. Is h a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18052, -19101, -21974, -27583, -36840?\nAnswer: -50657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*i + 7. Let y = -141 - -138. Sort y, i, 3 in increasing order.\nAnswer: i, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*p**2 - 7\/6*p**3 - 7\/3 + 19\/6*p - 1\/6*p**4.\nAnswer: -(p - 1)**2*(p + 2)*(p + 7)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 707 - 0?\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of s**4\/3 - 40*s**3\/3 - 10*s - 3. Factor t(v).\nAnswer: 4*v*(v - 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-92)\/(-115) + 8\/(-10). Solve 4*a - 8 = -2*h - 4, s = 2*a - 3*h - 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 156431120?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of 5*w**3\/2 + 9*w - 3. Let a(p) be the first derivative of -p**3\/3 + 1. What is a(r(g))?\nAnswer: -225*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49\/5490 + -2\/915. Calculate the common denominator of 107\/150 and r.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -171 - -263. Let o = 12446012991 - 12446012898.99999907. Let i = n - o. What is i rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*28467.\nAnswer: -2846.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1794 divided by 2?\nAnswer: -897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1579957 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72345 = -83*i + 114737. Round i to the nearest one hundred.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 53*u - 5*u**4 + u**2 + 6*u**4 + 4*u**3 - 90*u as w*u**4 + b*u**3 + s + o*u**2 + q*u and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-42 - 7896\/(-189)) + (-8842)\/(-18). Solve -c*b + 494*b + 18 = 0 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000011010111000100010001 + -1?\nAnswer: -1000011010111000100010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + sqrt(192) + -1*(sqrt(192)*2 - sqrt(192)) - -3*(-2*sqrt(192) + 5 + 5))**2 + -5.\nAnswer: -3360*sqrt(3) + 8132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m - 3*m + 4*m - 2*m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n - 6611 + 6638 for n.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -0 - 5, 0 = 5*u - f + 9. Let o be (13\/52)\/((-3)\/u). Determine b so that 0*b + 1\/3*b**4 + 1\/6*b**3 - 1\/3*b**2 + 0 - o*b**5 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 39120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -b - 20. What is the highest common factor of b and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10716?\nAnswer: 2, 3, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 18102227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 182997 (base 11) to base 5.\nAnswer: 33011121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 - 2942842.\nAnswer: -2942818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -15*i**2 + 5*i + 4. Determine q(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 99 and 3333?\nAnswer: 9999","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -1, 3438, 5 in decreasing order.\nAnswer: 3438, 20, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/4)\/(33\/110). Calculate the highest common divisor of 40 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 6*s**2 + 13*s - 4. Suppose 5*r - 3*g = -6 + 44, -4*r + 29 = -g. Let w be h(r). What is the greatest common factor of 114 and w?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 44 = -9. Suppose -r - 24 = -m*r. Solve b = -k - 6, k = -k - r*b - 20 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(((-10)\/(-10))\/(-6)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2002 - 4223?\nAnswer: -2221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12\/701 + 48465\/5608. Let x = 3\/724763 - -5781432855\/385573916. Let u = -34\/133 - x. Find the common denominator of u and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rzr when three letters picked without replacement from {r: 2, z: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 116969 - 10293161\/88. What is the common denominator of 4\/12 - (-85)\/(-192) and q?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/3 and (-5)\/175*21\/(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38224?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3194223 to the nearest integer?\nAnswer: 1787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*q = 3. What is the third derivative of -5*z**2 + 8*z**3 + 3*z**3 - 11*z**q + 16*z**6 wrt z?\nAnswer: 1920*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 11*j**2 - 29*j + 247. Calculate d(10).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z**2 - 73*z + 73*z - 124500 + 124500.\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*d - 113810350 + 113810350.\nAnswer: -20*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -121 by 1336619.\nAnswer: -121\/1336619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**2\/(a*(a\/a**(-1\/9))\/a*a) assuming a is positive.\nAnswer: a**(-1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/((-12)\/(-42) - (-384)\/28).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 220 + 1553. Does 32 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 13*((-78)\/338)\/((-6)\/4). Solve z - 3 = 3*a, 4*z + 2*a + 4 = -o*a for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -j**5\/60 - j**4\/24 + 2*j**3\/3 + 3. Let u(f) be the third derivative of r(f). Calculate u(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15.9 - 72.1. Let z = -49.6 - f. Round z to the nearest integer.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29*h**5 + 164*h**2 - 358039*h?\nAnswer: -580*h**3 + 328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -3 (c) -1\/5 (d) 0.4 (e) 38\/7 (f) 3\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25054320 and 4?\nAnswer: 25054320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 s when two letters picked without replacement from {h: 3, s: 4}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 1, -5, 18, -2?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/31)\/k)\/k*k*k**8*k)**(-3\/8)\/((k**(-2\/7)\/k)\/(k*k*k\/k**3*k)*k**(1\/5)\/(k*k**(-1\/2))) assuming k is positive.\nAnswer: k**(-1693\/4340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**3 - c**3 + c**5)*(4 - 35 - 7).\nAnswer: -38*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29149871, -116599592, -262349119, -466398446, -728747567?\nAnswer: -1049396476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 5*j - 5. Let t be o(2). Suppose 5*g - 2*g + 5*q = 25, -20 = -t*g - 4*q. Suppose -5*x = 20, s - 2*s - 2*x + 299 = g. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 9*f + 7. Let p be j(-9). Suppose p - 87 = -4*v. Calculate the smallest common multiple of (-40 + -2)*1\/(-3) and v.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 566\/29 - 54103\/2726. What is the common denominator of m and -37\/2?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 2*u**2 + 3*u - 5. Let q(o) = -o**3 - 2*o**2 + 4*o - 6. Let c(g) = 6*a(g) - 5*q(g). What is the units digit of c(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -272\/705 - 2\/141. Let i = x + 19\/10. Which is the third smallest value? (a) -0.2 (b) i (c) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 3\/((-12)\/(-40)) + 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**4 - 256*v**3 + 1108*v**2 + 1360*v.\nAnswer: -4*v*(v - 5)*(v + 1)*(v + 68)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 31*d - 1. Let i(p) = 2589*p. Determine i(b(f)).\nAnswer: 80259*f - 2589","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 88 - (379 + -324)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*k*q - k + 52425*q - 82204 with respect to q.\nAnswer: -16*k + 52425","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 14. Let m = 11 + o. Let f = m + -6. Put f, -2, -1\/4 in descending order.\nAnswer: -1\/4, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*u - 2 + 1 + 71*u**3 - 3*u - 73*u**3 - 6*u**2 in the form c*u**3 + m*u**2 + w + r*u and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b**2 - b**4 - 2*b**2 + 4 - 3 - b**2 to r + l*b**2 + i*b**4 + v*b + s*b**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(342)*-1)\/(-1*sqrt(288)) + -3 + (sqrt(19) - sqrt(38)\/sqrt(2))**2 + ((-2 + sqrt(19))*-5)**2).\nAnswer: -1144 + 399*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 234, 3, -4, 563, 4.\nAnswer: -4, -1, 0, 3, 4, 234, 563","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/((w**3\/w)\/w)*w**(4\/5) assuming w is positive.\nAnswer: w**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o - 15*o + 96 = 4*o. Let x be (4\/3)\/(3\/36). Is o >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 i, 1 b, and 1 t when four letters picked without replacement from tibhm?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, 1, -2\/49, 0.5, 1\/18?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2b + 1?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 819 divided by 850.\nAnswer: 819\/850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 3*s**2 - 2*s - 3. Let v be z(4). What are the prime factors of v + (-1 - 1)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2 + 4 + -2*sqrt(2)) + (sqrt(2) + 0 + sqrt(2) + 1 + 3)*-1)**2.\nAnswer: -176*sqrt(2) + 516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -356797 divided by 670?\nAnswer: -356797\/670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 1:59 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 2*m - 192, -3*a + 16 + 80 = m. Let x = m - 78. Calculate the greatest common divisor of x and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*n + 386 + 173 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15 - 114 + 256*p - 104*p - 101*p)*(1 - 2 + 2) as u*p + x and give x.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*t + 23 = 917 + 624 for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7849.916 years?\nAnswer: 784.9916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -101294 - -155460. What is the ten thousands digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 841 + 6616826.\nAnswer: 6617667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.6 (b) -2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9861*w + 9805*w = -15120. Solve -26*j + 62 = w for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -p**4 + p**3\/3 - p**2\/2 - 5*p + 2. Let s be (0 + 0)\/(2\/(-2)). Suppose g = 5*t - g - 5, -5*g = s. Calculate y(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 0.125?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 42*q = -39*q - 42169, 4*w + q = 84353. What is the ten thousands digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -c**3\/4 + 3*c + 65. Factor s(v).\nAnswer: -3*(v - 2)*(v + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.795458982 rounded to 2 dps?\nAnswer: -5.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 987 less than 986?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4*c = 25, 101 = -4*k - 3*c. Is -85\/3 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -15\/38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**2\/3 + 290*u\/3 - 21025\/3 = 0.\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t**2 - 2*t**2 - 3*t**2)*(2 + 2 - 6 + (-3 + 1 - 2)*(-269 - 258 + 127) + 5 - 2 - 2 + 2 + 2 - 3 + (0 - 2 + 1)*(2 + 3 - 3) + 2 + 3 - 3).\nAnswer: 1600*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -1065, -5 in ascending order.\nAnswer: -1065, -10, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10) - (sqrt(1000)*3 + sqrt(1000))) + sqrt(20)\/(sqrt(2) + sqrt(32)))\/(-5*sqrt(40)\/sqrt(8) + 1*(sqrt(5) + sqrt(15)\/sqrt(3)))*2.\nAnswer: 388*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/8 + 119*v\/4.\nAnswer: -v*(v - 238)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 449, 887, 1327, 1769?\n\"Answer: x**2 + 435*x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 + 0)*(10*r + 3*r**3 - 10*r) - 3*r**3 - r**3 + 3*r**3 to the form c*r**2 + j*r + s + b*r**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + o = 40, 3*o - 2736 + 2772 = 4*r for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 3*i - 7. Let n be y(-4). Let l be n*2\/(-4)*(-10)\/(-15). Sort -5, l, 2.\nAnswer: -5, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -21*v. Let j be t(-1). Suppose -2*m + 8 = -4*r - 60, 3*r - 3*m = -48. Let f be r\/(-36) + (-5)\/(-2). Calculate the highest common divisor of f and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 19 = w, 3*j = -5*w - 34 + 23 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 1 - (-20 - -58)) + (39 - 22)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.09? (a) 131 (b) 2\/9 (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - p - 6 = 2*p, -u - 4*p - 8 = 0. Suppose -16 = 2*o - 3*a - u*a, -a - 8 = 2*o. Is 7 a factor of 1 + (-2 - o) + 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/1168 and 59*((-255)\/(-3285))\/17.\nAnswer: 3504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -939887000 to the nearest one million.\nAnswer: -940000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 - -27. Let n = z - 7.7. Which is the nearest to 0.1? (a) 0 (b) 2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + 50 - (7 - (7 + 8))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 6 + 4 - (10 + -6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 966 + -507. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from kbbbbbggkgg?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + l - 5 = -3*l, 10 = -3*z + 5*l. Suppose 4*k + 0*n - n - 15 = 0, -5*n + 25 = z*k. Suppose 2*c + 2 = k. Solve -4*o + 3 = -c for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + w. Let c be l(5). Let h(u) = -3*u - 25. Let a be h(c). Suppose 38*k - a*k - 15 = 0. Solve -k*i - 3 = -2*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -70 + 76. Is n a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2894.\nAnswer: 2, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 12*a - 196. Let h be l(21). Suppose 54 = -2*k + h. Put -28, k, -1, 4 in descending order.\nAnswer: 4, k, -1, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91767206?\nAnswer: 2, 45883603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x**2 + 8*x + 7. Let l(w) = 13*w**2 - 33*w - 27. Let y(t) = -9*h(t) - 2*l(t). Let f be y(8). Let k = 22 - f. Is 15 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 - f**2 + 5*f**2)*(0*f**3 + f**3 + 0*f**3 - f**3 + f**3 - 2*f**3 + (f**2 - 2*f**2 + 3*f**2)*(-2*f - f + f)).\nAnswer: -25*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -10*b + 107. Suppose -b*u = 7*u + 17. Put 2, u, -3 in increasing order.\nAnswer: -3, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 142 - 130. Calculate the smallest common multiple of 14 and a.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.41836681 + 0.4184. What is h rounded to six dps?\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 81.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 2540?\nAnswer: -2542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143*p + 270 = -134*p. Solve -2*f + 0*f + 16 = -2*k, 5*k + p = 3*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 364544 is divided by 3758.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2548765 is divided by 227?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 119, 378, 771, 1304, 1983, 2814, 3803, 4956?\n\"Answer: y**3 + 61*y**2 + 69*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/8))**(11\/3)*(s\/(s\/s**(-7)))**(-8\/7))**(-33) assuming s is positive.\nAnswer: s**(-1991\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 3, -117, -13, 2, 1 in descending order.\nAnswer: 5, 3, 2, 1, 0, -13, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**4 + g**3 - 2*g**2 + g. Let m(f) = -f**4 - 12*f**3 + 24*f**2 + 8*f - 15. Let h(t) = -m(t) - 2*r(t). Factor h(w).\nAnswer: 5*(w - 1)**2*(w + 1)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 11 = 3*b - 15, -6 = x - b. What is the nearest to -0.232 in -4, 1\/3, x, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39000 and 2494500.\nAnswer: 64857000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by 4\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 469, 1023, 1579, 2137, 2697, 3259, 3823?\nAnswer: 4389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-20) + 132\/(-30). Let j be (0 + 0)*3\/(-6). Let w = 53 + -56. Sort w, g, j in decreasing order.\nAnswer: j, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lr when two letters picked without replacement from {l: 7, d: 4, z: 3, b: 1, r: 4}?\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 58089594 to the power of 1\/4, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + 0. Let q be (-111)\/(-15) - (-6)\/x. Let h(i) = i**3 + 9*i**2 + 9*i + 29. Let z be h(-7). What is the greatest common factor of z and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4485 and 520.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7751 - -20?\nAnswer: -7731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u + 1. Suppose 5*t - 17 = -o, -2*o + o - 1 = -t. Is s(t) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10064513 greater than -10064511?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of v**7\/840 - v**6\/80 + v**5\/20 + 7*v**4\/24 - 3*v**2. Let r(o) be the second derivative of c(o). Factor r(d).\nAnswer: 3*(d - 2)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 324161 (base 7) to base 9.\nAnswer: 85675","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: 15\/((6\/16)\/(11\/(-44)))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 5*g**2 - 11*g - 34. Let q(c) = -c**2 + c + 1. Let n(h) = 2*q(h) + v(h). Is n(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -563704 divided by 62.\nAnswer: -9092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -4229\/2 and -2114 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(3)*-1)*5.\nAnswer: -5*sqrt(3) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -0.97. Let l = -0.13 + c. What is the closest to l in 0.2, -2, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2. Let x(a) be the first derivative of -a**3\/3 + 2*a**2 - 4*a - 19. Let w(h) = h**2 - h + 1. Let s(q) = 4*w(q) + x(q). Calculate s(o(i)).\nAnswer: 12*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -301377 and 1.18?\nAnswer: -355624.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7845 and 51.31.\nAnswer: -402526.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrxrrwawdrrddxwxf. Give prob of picking 2 d, 1 f, and 1 a.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.143255t to nanograms.\nAnswer: 5143255000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29 and 232?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 3*y + 1. Let q be o(-1). Let z(f) = -2*f**3 + f**2 - f - 1. Let n be z(q). Suppose 2*m - n*m = -16. Is m a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28b4b (base 13) to base 9\nAnswer: -126083","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20669*827.7.\nAnswer: 17107731.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h**2 + 3*h**3 - 2201653 + 2201653 - 99*h to y*h + g*h**3 + u*h**2 + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q**2 + 7*q - 3. What is u(3)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 690414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 274.2 - 274. What is the second biggest value in 0.08, -5, w?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.39617 rounded to 3 dps?\nAnswer: 0.396","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12866552 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 -10505826 divided by 9.\nAnswer: -1167314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.8*-100.94.\nAnswer: 1090.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -10.6. Let c = 52.3 + -53. Let i = -0.4 - c. What is the third biggest value in b, -3, i, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in -5\/3, 0.5, 1\/4, -10?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/(-42) - 1405\/(-6). Suppose b + l = 4*b. Find the third derivative of 12*m**2 + 10*m**5 - b*m + 22*m**5 + 78*m wrt m.\nAnswer: 1920*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208006 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: Two letters picked without replacement from ozozur. Give prob of picking 2 z.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 + 22.99. What is the third smallest value in -2, h, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2. Let w(h) = 56*h + 1. What is w(k(v))?\nAnswer: 112*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-87)\/145 + 593\/5 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s - 2*s + 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u - 24*u = -66. Solve -15*g + 14*g = -u*p - 4, -4*g + 11 = -3*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 130*d**2 - 51*d + 387. Is w(98) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 3030?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 1971*j - 5911. Determine w(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.13 in 1\/10, 4, -2\/15, -5?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 5. Let w(g) = 0*g + 9 + 6*g + 5*g - 4*g + g**2. Let y be w(k). Is 3\/11 at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 86765763 to the nearest integer?\nAnswer: 9315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-129492)\/70422 + (-28)\/(-1358)?\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n - 42. Let h be i(15). Solve 0 = -4*s + h + 5 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15894 and 9?\nAnswer: 15894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 139 + u**2 - 36 - 69 in the form s*u + i + g*u**2 and give i.\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**4\/4 + 25*b**3\/2 - 31*b**2 - 121*b\/2 - 65\/4 = 0. What is b?\nAnswer: -1, -1\/3, 5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2087 (base 10) to base 5\nAnswer: -31322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3*i**2 + 0*i + 2 + 2*i - 3*i. Let o be f(-4). What is the least common multiple of 6 and o\/4*16\/12?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 12:46 AM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -9*p**2 - 253*p - 21. What is the thousands digit of w(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -k - 16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 2*p = -2, -4*p = -17*d + 15*d + 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 divided by -119354?\nAnswer: -165\/119354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6001 + 23?\nAnswer: -5645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 3 - 22)*(-2 - 2*n + 2) + (-3*n - 2*n + 4*n)*(-9 - 11 + 21).\nAnswer: 53*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - -27. Let r(p) = 2*p**2 + 3262*p - 3260. What is the lowest common multiple of g and r(1)?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -43.96 and -3264.\nAnswer: 143485.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 7:21 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, n: 1, a: 1, e: 3, u: 1, z: 4}. Give prob of sequence em.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -719*r**7\/21 - 343*r**3 - 4*r + 204. Find the second derivative of x(y) wrt y.\nAnswer: -28760*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - f + (5 + 0 - 3)*(3*f + 3*f - 3*f) + 5 + 4*f - 2*f - 5*f.\nAnswer: 2*f + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1231 + 1673 = 8*j. Is 33 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -62447515.48 to the nearest one hundred thousand.\nAnswer: -62400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 534469.\nAnswer: 13, 41113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 7*m**3 - 15*m**2 + 11*m + 9. Let x = 6 - 0. Let t(c) be the first derivative of c**4 - 8*c**3\/3 + 3*c**2 + 5*c + 22. Determine x*g(j) - 11*t(j).\nAnswer: -2*j**3 - 2*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 196?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + (-16 - (-11 - (1 - (5 + -9)))).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -639*o + 74127. Give l(116).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42398344 + 42398344 - 3*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -328*-0.1700688\nAnswer: 55.7825664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1b1b3c6 - 0?\nAnswer: 1b1b3c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 61*l**2 - 1. Give t(2).\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252 is divided by 98.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*f - 28. Suppose 3*y = -f*a + 2*y, -2*a - 2*y = 0. Factor -6*v + 2 + a*v**2 + 4*v**2 + 0*v.\nAnswer: 2*(v - 1)*(2*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 38265*l. Let s(q) = 2*q**2 - 19. Give v(s(p)).\nAnswer: 76530*p**2 - 727035","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44400 divided by 5550.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*n**2*w**3 - 25*n**2*w**2 + 4*n*w**4 - n*w**2*z - n*w*z + 93251*n + 469058*w**3*z wrt w?\nAnswer: -84*n**2 + 96*n*w + 2814348*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 5*u - 3 = 6*u + 2*u, 4*u = -1117 + 1097 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + f - 2*f = 5, w - 2*f - 10 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of z**7\/280 - 3*z**5\/40 - z**4\/4 + z**3\/6 - 4*z**2. Let t(c) be the first derivative of o(c). Factor t(l).\nAnswer: 3*(l - 2)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2229\/4940 + -63\/520. What is the common denominator of b and 345\/(-54) - (-6)\/(-3)?\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + 19. What is the closest to 1 in -3, l, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 3) to base 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/53 in -30551, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8887 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 826 - 810. Let x be (27\/108)\/(1\/c). Solve 4 - 12 = -x*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3 (b) 1 (c) -1\/2 (d) -5 (e) -26 (f) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)*2*-4*-5)\/(sqrt(132)\/(sqrt(72)\/((sqrt(24) - sqrt(6)) + sqrt(6)))).\nAnswer: 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + -1 - (-2 + 58 + -35)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**3 - 14*r**2 + r + 10. Let j be t(-7). Let w(p) = p + 5. Let s be w(-3). Suppose -3*h + 4 + s = 0. Which is bigger: h or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 8) to base 11\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 17*g + 18636 = 18716, 3*g = 4*g - 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 672970?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -20, 2, 5, 896?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -13904464 at most -13904480?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3015*b**5 + 5*b**4 + 20695*b?\nAnswer: -60300*b**3 + 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -949\/8070 - -1\/1076. Let z = -19\/60 - c. What is the closest to -4 in z, -1, 4\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, z: 1, q: 3}. Give prob of sequence qq.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 + -12. Let o be (-24)\/(-8) - l\/(-2). Suppose -39 + o = -4*j. What is the highest common divisor of 35 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -5*n + n**3 + 0*n + 11 + 19*n**2 - 3. What is the tens digit of d(-19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fourty-six fifths of a kilometer?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 43*s - 1020. What is b(24)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -24\/11 (b) -2 (c) 26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -40577 minus 4?\nAnswer: -40581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.5 - 2. Let o be ((-4)\/132*-3)\/(7\/14). What is the nearest to 2\/7 in o, 2, s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/7 (b) 16\/3 (c) -0.2 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 876498037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3493728 divided by 168?\nAnswer: -20796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**4 - 813*c**3 - 24321*c**2 + 54273*c + 77778 = 0. Calculate c.\nAnswer: -29, -1, 3, 298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k + 2*w = 14*k, 0 = 5*k + 2*w for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*v - 44*v = -966. Differentiate 93*i**3 - 30 + 70 - v with respect to i.\nAnswer: 279*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.03 + 1.97. Let p = 899 - 895. Put -0.2, p, m in ascending order.\nAnswer: -0.2, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23558252.97791 + -268.97791. Let j = 23557984.09599909 - w. Let d = -0.096 + j. What is d rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6273 - -6270. What is the nearest to t in -41, -5, 4\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -10*p + 112. Calculate the remainder when p is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*x + 79*x + 7*x + (0 + 0 + 2)*(-2*x - x + 7*x) - 6*x + 3*x + 17*x.\nAnswer: 116*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 84763 and -0.3.\nAnswer: -25428.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*b - 2*b - 5*b)*(6*b + 73 - 104 - 5*b)*(b - 3 + 3).\nAnswer: 32*b**3 - 992*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1046 + 1141. Calculate the remainder when 198 is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/34)*c**(-8\/7)\/c)\/(c**(-1\/5))**48 assuming c is positive.\nAnswer: c**(8839\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**5*u*u**(-1\/3)*u*(u**(2\/9))**(11\/4) assuming u is positive.\nAnswer: u**(-31\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 1:15 PM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5858497 to the nearest integer?\nAnswer: 2420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 12:06 PM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7964483, -15928971, -23893461, -31857953, -39822447?\nAnswer: -47786943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1001 - -5979. Does 38 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*w**2))\/w)\/w**(-5))\/((w\/(w**(-1)\/w*w))\/w)**(-38) assuming w is positive.\nAnswer: w**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 97? (a) 1\/4 (b) 4 (c) -6 (d) 20 (e) -5 (f) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -x**3\/6 - 12*x**2 - 2*x + 5. Let g(c) = -4*c + 5. Let k(t) = t - 1. Let u(q) = g(q) + 5*k(q). Calculate w(u(i)).\nAnswer: -i - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 6*u**3 - 7 + 7 - 38*u. Let n(f) = 5*f**3 - 38*f. Let a(j) = 5*n(j) - 6*v(j). Find the second derivative of a(q) wrt q.\nAnswer: -66*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 6*j + 23. Let q be (207\/(-138))\/((-6)\/32). Determine f(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -2*f**7\/105 - 4*f**5\/15 - 4*f**2. Find the third derivative of i(n) wrt n.\nAnswer: -96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1335110 divided by -5.\nAnswer: -267022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7896, -15933, -23970, -32007, -40044?\nAnswer: -48081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((-144)\/4)\/9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 292a8c - -3b?\nAnswer: 292aca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1545 - -1553. Solve 0 = -j*m + 286 - 334 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -204732 to the nearest one thousand.\nAnswer: -205000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 2*d**6 - 9*d**5 + 9*d**4 + 4*d**3 + 72. Factor r(j).\nAnswer: 3*j**2*(j - 2)**2*(4*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 25*i**2 + 5*i + 84. What is t(-25)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -1 - 1009*g + 2016*g - 1016*g. Calculate q(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -153.8*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -70775 - -919151\/13. Which is bigger: -70 or s?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ili when three letters picked without replacement from {f: 6, s: 2, i: 5, y: 2, l: 3}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.95 + 0.05. Let o = y + 8.47. What is o rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1175 and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3 = 0, 4*x - 1 + 10 = -5*u. Suppose 5*y + 0*y = -3*c + 29, -4*y = -3*c - 7. Let m = c + -4. Is x at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -4*f - 1 - 11, -3*f = 5*c + 22 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ejgt when four letters picked without replacement from {t: 2, l: 1, m: 1, g: 1, j: 1, e: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/10 + 162*r**2\/5 + 633*r\/2 + 785.\nAnswer: (r + 5)**2*(r + 314)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 49\/5 of a microsecond?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 74569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-18) - (136\/12)\/17.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - (-2 - (2 - 3)). Let p(m) = 2*m**2 + 3*m - 2. Let x(i) = -25*i**2 - 40*i + 25. Let f(y) = t*x(y) + 40*p(y). Suppose f(o) = 0. Calculate o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 1 + 5 = 0. Suppose g*a - 7 = 2. Suppose -b + 1 = 5*l, -3*b = -a*l + b - 4. Sort -4, 2, l in decreasing order.\nAnswer: 2, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)\/sqrt(3))\/sqrt(3)*1.\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -46*m**2. Let y(v) = -164*v**2. Determine p(y(q)).\nAnswer: -1237216*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 17*a - 14*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 33396.\nAnswer: 1\/11132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 464711047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32877148 and 2384.\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 11020202?\nAnswer: 11020200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(8\/3))**50 assuming m is positive.\nAnswer: m**(-250\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*b = -235 - 385 - 69 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1114 to 2 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (348\/(1*-2))\/((-350)\/100*120\/210).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 288, -334, -956?\nAnswer: -1578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37789 - -37790. What is the closest to f in -2\/9, 7, -0.5, 53?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*w**4 + 42*w**3 - 81*w**2 - 24*w + 48.\nAnswer: 3*(w - 1)**2*(w + 4)*(5*w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 4*t + n, -n = 2*t - 5*n + 4. Let g be -1 + 122000028\/20 - (-4)\/t. What is g rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 25*o - 5*o. Suppose 5*r + 5*f - 1465 = 0, o*r = 2*r + 5*f + 863. Calculate the remainder when r is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 8*x**2 - x - 1. Let s be i(-1). Suppose 2*r - 3*r = 28. Let c be 3\/(-14) + s\/r. Is c > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -295*r**2. Let n(t) = -6*t + 95. Calculate n(d(b)).\nAnswer: 1770*b**2 + 95","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((((d\/((d\/d**6)\/d))\/d)\/d)\/d))\/(d**(-1\/3)*d))\/((d**1\/d)\/(d**(4\/7)*d)) assuming d is positive.\nAnswer: d**(-44\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -576\nAnswer: -1\/192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 197\/161 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (v**2 + 51*v - 51*v)*(-3 + 2*v + 3)*(8 - 9 + 4 + (-20 - 17 + 13)*(0 + 4 - 2)) as m + i*v**3 + r*v**2 + d*v and give i.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 10, o: 4}. Give prob of picking 1 o and 2 i.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181204*b**2 - 181204*b**2 - 936*b**3.\nAnswer: -936*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -522.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.065 * 0.6995\nAnswer: -0.0454675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, -0.3, -0.055?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**4 + 3 + 9*n**3 - 5*n**3 - 3*n - 4*n**3 to u*n + k*n**4 + g + b*n**3 + i*n**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 120\/(-9) + (4 - (-22)\/(-6)). Let g(x) = -x**2 - 13*x + 34. Does 17 divide g(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14928100 to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2784 divided by 2784\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -6 - 10*w + 11*w + 0 - 3 + 0. Give i(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5607483?\nAnswer: 3, 7, 257, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -130, -219?\nAnswer: -308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22 and (-16)\/72 + 1262\/(-72)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1275*c + 1332*c + 126 - 66*c**2 + c**3 + 2*c**3.\nAnswer: 3*(c - 21)*(c - 2)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 6*c**2 - 8*c - 3. Let l be p(-6). Let z(g) = 2*g**2 + 28*g + 23. Let n be z(-12). Let v = n + l. Does 4 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 2*x + 31720 = 0. Suppose 5*f - x = -4*j, 2*f + 11*j - 1586 = 6*j. Is f a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/37932776 and 97\/84?\nAnswer: 113798328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52422 = -3*f + 890*t - 887*t, 2*t = 5*f - 87373. Calculate the remainder when f is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1410 times 4361\nAnswer: 6149010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1614 + 2030. What is the remainder when j is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-6) - (45789 + -1)\/((-252)\/(-9114)). What is p rounded to the nearest 100000?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 17*z**2 - 17*z + 6. Let d be c(-18). Let h(y) = -12 + 0*y + 2*y - 3*y. Let a be h(d). Solve a = 5*g + i - 5, 25 = -2*g + 4*g + 5*i for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*l + 76 + 4 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 20 - ((1 - 8) + -1 - (34 - 44))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27641 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 546236 is divided by 794?\nAnswer: 758","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 78*f + 233*f + 78*f to the form a + v*f and give v.\nAnswer: 389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1277 + 1276.7. Which is the nearest to -0.1? (a) g (b) -4 (c) -2\/11 (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1408)*-2*-1*4)\/(sqrt(200)*-2*6 + -6*sqrt(200)*-1).\nAnswer: -16*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of 3*c**2\/2 + 1. Let r = 2 + 0. Let s(u) = -u**r + 3*u**2 + 0*u**2. Give s(o(f)).\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 6432 (b) 2.3 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + 5\/(-2))*(-30 + 31).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v**3 + 24*v**2 + 55*v + 683. Give k(-9).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*i**5 - 3*i**3 + 47*i wrt i.\nAnswer: -380*i**3 - 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 41a901 (base 12) in base 2?\nAnswer: 11111100100110010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p - 3. Let q(g) = g - 2. Let w(b) = b**3 - 7*b**2 + 3*b + 6. Let t be w(4). Let l be (t\/(-5))\/(-18)*21. What is l*q(r) + 3*s(r)?\nAnswer: -r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**5 + 18*s**4 + 66*s**3 + 70*s**2 + 24*s.\nAnswer: -2*s*(s - 12)*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -18075\/23209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/13 - 392*q\/13 - 7242\/13.\nAnswer: 2*(q - 213)*(q + 17)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jwgj when four letters picked without replacement from ggjggjgggwjjg?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l + 2. Let a be p(3). What is the closest to -1 in 3, 1\/3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence db when two letters picked without replacement from {d: 1, y: 1, b: 8, g: 6}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 892.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 35, 177, 3, -11 in increasing order.\nAnswer: -11, 2, 3, 35, 177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3091 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: Let c = 37 + 4. Let o = c - 14. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 5*y - 2. Let m be f(4). Let z be (m\/(-4))\/(3\/4). Suppose -5*c = 4*o - 56, z*o - 32 = -3*c - 0*o. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -20*u**3\/3 + 7*u**2\/2 + 34. What is the second derivative of a(n) wrt n?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -188 times 900039\nAnswer: -169207332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/912 and -101\/4408.\nAnswer: 26448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 941312?\nAnswer: 2, 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1069\/4 - 258. Calculate the common denominator of g and -43\/82.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1750, -3689, -5650, -7645, -9686, -11785, -13954?\nAnswer: -16205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jsdz when four letters picked without replacement from {j: 1, b: 1, z: 3, s: 2, v: 3, d: 1}.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44645, -44617, -44577, -44519, -44437, -44325, -44177?\nAnswer: -43987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) - (sqrt(567) + 1))**2 + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 5 = 5*m, 0 = z - m - 0*m + 9. Let j be (26 - -28)*224\/3024. Which is the second smallest value? (a) j (b) 1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a**2. Let i(s) = -199215405*s**2. Calculate d(i(g)).\nAnswer: 119060332767942075*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 8, -16, -19, -1 in ascending order.\nAnswer: -22, -19, -16, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 6*j**2 - 4*j + 2. Let a be c(-5). Let y = 32\/197 + -21958\/1773. Let p = 12 + y. What is the third smallest value in p, -2\/17, a?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 4)\/(1\/(-16)). Let h = i - -112. Is h a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wxoxwxnxgofwwo. Give prob of picking 1 w and 1 f.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 8*v - 9. Let h be f(9). Suppose -m - 20 = -5*m. Which is the nearest to 0? (a) h (b) m (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 21 + 1 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**4 - l + l + (-4*l + 2*l + 4*l)*(0*l**3 + 6*l**3 - 7*l**3) - 2*l**4 + l**4 + 2*l**4.\nAnswer: -2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -3. Let x = b + 6.3. Let p = 7 - 6. Put 0.1, p, x in decreasing order.\nAnswer: p, x, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 163.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*m**4 - 9*m**3 + m + 148 wrt m.\nAnswer: 240*m**2 - 54*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1589058 divided by -3.\nAnswer: 529686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 11 - 4) + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y - 1. Let s be n(-3). Solve 2*z + 33 = 2*c + 3*c, 0 = 5*z - s*c + 30 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -176.92510122 - -176.9571. Let j = o + -0.032. Round j to seven dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 12*x**2 + x. Let b = 0 + -6. Let j = 7 + b. Let p be v(j). Calculate the greatest common factor of p and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 4. Let t be (-6)\/21 - (18\/(-112) - 0). Is t bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -11*v**2 - 24*v + 154. Let y be b(6). Let l = y - -350. What is l rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*a - 1 + 2 = 37 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -p - 52843647, b - 4*p + 16201907 = -10219912. Let w = -15761823 - b. Round w to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-four fifths of a meter?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*l + 30 = -7*l. Find x such that -100*x**l + 49*x**2 + 50*x**2 - 14*x + 94*x - 1600 = 0.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36? (a) -3\/8 (b) -3\/2 (c) 0.5 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 3, n: 6, e: 2, a: 2, w: 1}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((912\/(-360))\/19 + 1910\/825)\/(-2)?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 7*k + 8. Let i = -733 + 741. Give x(i).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -6*t**2 + 7*t - 1. Let f(w) = 7*w**2 - 7*w. Let z(x) = 5*f(x) + 6*q(x). Determine z(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -56 - (90 - 126 - -52).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*(t**(-10)\/t)\/t)\/t)**(-1\/7))**20 assuming t is positive.\nAnswer: t**(240\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-1 + 3)) + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1664359578 - -21621165808\/13. Let c = o + 25899639497\/21710. Let l = 12\/167 + c. Calculate the common denominator of l and 43\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j + 1. Let t be y(1). Solve -u + t = -1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -22*h - 7. Let l be u(-2). What is the first derivative of l*g + 13 - 20 - 12 wrt g?\nAnswer: 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-686)\/(-18) + 43\/(-387). Calculate the highest common factor of 76 and w.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = l. Suppose -d + 2*d = l. Solve -j + 0 + 5 = d for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2217 divided by -67188\nAnswer: -739\/22396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 9*d**2 - d + 20. Determine i(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2931 plus -391117109?\nAnswer: -391114178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 15 = -9*v. Suppose -3*t + 5*t + s - 3 = 0, s = 4*t + v. Round t to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 833 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*w**2\/19 + 44*w\/19 - 48\/19.\nAnswer: -2*(w - 6)*(3*w - 4)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3104530582 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 p, 1 q, and 1 e when four letters picked without replacement from {p: 2, e: 1, m: 2, q: 1, a: 1, f: 2}?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 11401348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 43*k - 4. List the prime factors of j(2).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29136 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w - 83 + 25 + 125 = -4*y - w, 139 = -8*y - w for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -146*r**3 - 5*r - 4. Let o be c(-1). Calculate the greatest common factor of 18 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 99050\/23772*(252\/(-80) - (-3 - 0)). Let j = -18 - -12. Let h be 16\/(-6) + (-4)\/j. Which is greater: h or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q + 1059981 - 314796 = 0. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 386495761.\nAnswer: 89, 4342649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 16, 8, 0, -8?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -32580*a**2 + 54*a - 872. Let d be s(-52). Round d to the nearest 1000000.\nAnswer: -88000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-6*(-2 + sqrt(128)*-4))**2.\nAnswer: 4608*sqrt(2) + 73874","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - ((-970)\/(-8) - 4). Let j = -116 - z. Do -1 and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 349963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(1331) + 1 + -2 + 5)*2.\nAnswer: 22*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = -3 + 24. Let o be 2*(-2)\/(-2)*m\/12. Factor -1\/4*h**3 - 1\/4*h**4 + o*h**2 + 0*h + 0.\nAnswer: -h**2*(h - 1)*(h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -502038.\nAnswer: 1506114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 105432 divided by 35144?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -704 greater than or equal to -704?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n + 13. Let c be u(-9). Solve 26 = -5*j + c*z, -4*z = z - 20 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a46 (base 11) to base 6\nAnswer: -5500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -12. Let h(q) = q + 9*q**3 - 8*q**v + 10*q**2 - 16 + q. List the prime factors of h(-9).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/((-6)\/(48\/80*-5)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, u: 3, r: 13}. Give prob of sequence trut.\nAnswer: 13\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t. Let w(a) = -4*a + 4. Let f be w(0). Let o(q) = -f + 11*q + 2 + 2. What is o(u(j))?\nAnswer: -33*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56 + -21. Let q be (-10)\/z - 228\/(-14). Suppose -3*d - d = -q. Sort d, 1, 3 in ascending order.\nAnswer: 1, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3384209*o**4 + 6431567 wrt o?\nAnswer: 13536836*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1423*w = -1408*w + 90 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3089988 divided by -1?\nAnswer: -3089988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -26*x**3 + x**2. Let b be r(-1). Suppose 2*a = -1 + b. Calculate the remainder when 24 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, h: 4, e: 9}. Give prob of sequence eeh.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18521209\/2 or 9260604?\nAnswer: 9260604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 3033 divide 118544805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-37 - -1)\/2)\/1. Let l be -12*-2*(-3)\/i. Suppose l*y - 2*y = -4*f + 78, 3*y - 67 = 4*f. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by -5738\nAnswer: -7\/2869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001998 rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2432293520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 231\nAnswer: -924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28007 by -82.\nAnswer: -28007\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 b when four letters picked without replacement from dddxdxdxdbwxjjbbddj?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/4)\/(495\/(-110)).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10227470?\nAnswer: 2, 5, 11, 109, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18633*z + 576 = 18669*z for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of z**4\/3 - 5*z**3\/6 + 26*z. Let h(t) = -t. Calculate 5*h(m) - s(m).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 104 - 1*(7 - 6)\/(-1). Let v be (112\/(-3) + 2)*-3. Let d = v + q. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of 2*g**6\/15 + g**3\/6 - 14*g. What is the second derivative of b(q) wrt q?\nAnswer: 48*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9592 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/3*16\/48.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of o**8\/672 + 3*o**7\/140 + 29*o**6\/240 + 13*o**5\/40 + 3*o**4\/8 + 537*o**2. Find q, given that l(q) = 0.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10456006.\nAnswer: 2, 11, 475273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - (-2 - 7\/(-3)). Let s = -2\/56965 + -113916\/398755. Sort s, j, 0.3, -2\/9 in ascending order.\nAnswer: j, s, -2\/9, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -388*h**2. Let o(v) = v**2. Calculate l(o(f)).\nAnswer: -388*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 - 45*a**2 + 618*a + 13685.\nAnswer: -(a + 17)*(a + 23)*(2*a - 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37544*f**3 - 37606*f**3 + 112795*f**3 - 37590*f**3.\nAnswer: 55*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1284)\/16 + 1\/4. Let m(d) = d**2 - 45. Let k be m(0). Let c = k - h. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.12 - 5. Let s = l + -0.244. Round s to two decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4 + 8 = 0. Suppose -m*o + 2*o = -52. Suppose 2*b - o - 19 = 0. Calculate the lowest common multiple of 2 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**4 - 6630*m**3 + 3649791*m**2 + 14678820*m + 14705388.\nAnswer: 3*(m - 1107)**2*(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53919 is divided by 26955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/50 of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18020 and 136085?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, l: 4, e: 1, w: 12}. Give prob of sequence ef.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1 + (300\/(-27))\/(-5) and 10\/(-1)*(-10)\/(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.046 and -3703.\nAnswer: -3702.954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + p + 1. Let y(k) = 18*k**2 + 8*k + 8. Give 24*t(f) - 3*y(f).\nAnswer: -30*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -347.2859 to zero dps.\nAnswer: -347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-1 - (12 + (10 - 16))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 37026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -517, -1\/7, 5, 43, -1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6076285 and 395.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 5*i**2 + 4. Let x be d(-5). Let z be (-3)\/6 - (-14)\/x. Suppose o = -k + 4, 2*o - k = 2*k + z. Calculate the remainder when o is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -2*n, -4*q + 2*n = -200. Is 50 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - q**2 - q. Let p(a) = a**2 + 1. Calculate 2*p(d) + 2*y(d).\nAnswer: -2*d**3 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 0.3. Let l = -162 + 95. Let i = l + 68. What is the closest to i in 2\/11, -2, w?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1793387.\nAnswer: 1793387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 45 = -5*m, 3219 - 3246 = 2*o + 3*m for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2669.484 milligrams in kilograms?\nAnswer: 0.002669484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -1185*n**3 - 2*n**2 + 10*n. Let o(z) = 3553*z**3 + 7*z**2 - 35*z. What is 7*g(j) + 2*o(j)?\nAnswer: -1189*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(3) - (-6*sqrt(3)*-1 + sqrt(3))).\nAnswer: -sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a microgram in nanograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 35890000 to the nearest 1000000.\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + v**2 - v. Let g(o) = o - 7. Let f be g(6). Let p(r) = r**3 - r**2 + 2*r. Suppose 6*q - 2*q = a - 6, q - a = 0. Calculate f*p(t) + q*y(t).\nAnswer: t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1254 and 13060278.\nAnswer: 248145282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -9*c. Let p(r) = -13*r - 65. Let q be p(-5). Let t(k) be the first derivative of 0*k + q*k**2 + 2\/3*k**3 + 3. Calculate t(a(f)).\nAnswer: 162*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 4*v - 30, 5*v - 4*q + 2*q = 46 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + -2 + (6 - 1). Let q = -7 + 3. Let l = 3.1 - 3. Which is the closest to 1? (a) l (b) q (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 7*u**2 + u + 6. Let j be a(-7). Let t(y) = 1. Let x(s) = -7*s - 8. Let c(o) = -2*o - 2. Let l(v) = -3*c(v) + x(v). Give j*l(q) - 3*t(q).\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2637755, 2637728, 2637697, 2637662?\nAnswer: 2637623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - w. Let s = 10 + -33. Let p = s - -39. Solve 0 = -5*x - 5*g - 1 + p, -2*g - 2 = w for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54204 (base 7) in base 11?\nAnswer: a144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millimeter in micrometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of -i**4\/4 - 7*i**3\/3 + 43*i**2\/2 - 263*i. Differentiate z(d) with respect to d.\nAnswer: -6*d - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 84548*j**3 - 2*j**2 - j - 85255 wrt j.\nAnswer: 507288*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a decade in months?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1 (b) -2 (c) 0.1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13 - 90b?\nAnswer: -8b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(-2 + 1)*-5. Let l be (-6)\/(-15) + (-108)\/m. Suppose -2*u = 3*q - 100, 2*q - 3*q = -5*u - l. What is the greatest common divisor of q and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 497939 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 32\/5 of a centimeter?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-1 - (-2 + 2))) + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*p + 40*p - 29*p = 7*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -110462.52 take away -17?\nAnswer: -110445.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 479.089 - -6.011. Let w = s - 485. What is the fourth smallest value in w, -4\/5, -1.5, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196*n + 66*n - 1182736 = 30*n. Is n a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3131200, -12524789, -28180770, -50099143, -78279908?\nAnswer: -112723065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36731128 by 28.\nAnswer: 1311826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 247991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(39)\/((sqrt(12)*3 + sqrt(12))\/sqrt(4)) - (-5 + (4 + 2*sqrt(13))*-4).\nAnswer: 21 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 289.384 and 0.2.\nAnswer: 57.8768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 87*r + 96. Let w(g) = -g**2 + 175*g - 189. Let c(y) = -5*s(y) - 3*w(y). Does 6 divide c(-44)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((15\/(-2))\/5)\/((91\/104)\/(-7)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 2 (b) -5 (c) -23 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tppt when four letters picked without replacement from {p: 9, u: 2, t: 5}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (0*8\/48)\/(-3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 18 - 255*l.\nAnswer: -255*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 2*o**2 + 5*o + 370. Let y be i(0). Let k be (y\/(-259))\/((-2)\/602). What is k rounded to the nearest 10?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -l - 13. Let c = l - 44. Let d = -46 - c. Solve 4*o = -f + 21, 5*f - o + 15 = d*o for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -32*a**5 + 7197040*a**4 + 10795630*a**3 + 449830*a**2 - 2698910*a + 449818 = 0.\nAnswer: -1, 1\/4, 224909","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/56730447 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8940\/135 + 3\/((-54)\/4). Let z(h) = h - 32 - 32 + d. Let w(p) = -3*p - 10 - p - p. What is 2*w(s) + 11*z(s)?\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 + 21\/(-14)*2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 259 and 10693.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238563 is divided by 139?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 2\/5 (b) -1\/50 (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.59 to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 6*g. Let m be i(-6). Let w be (-1)\/(2\/4)*-23. Let l be w\/14 + 8 + -11. What is the biggest value in -2\/3, m, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -87617 to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48383*h + 48384*h = -4*u + 99, 3 = -u + 5*h + 33 for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8757311 is divided by 221.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a decade in months?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*r + 12*r - r**2 + 8*r + 11*r + 19*r.\nAnswer: -r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.45 + 35.45. Suppose 0 = m - 6*m. Let d = 29\/2 + -15. What is the third biggest value in m, d, j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244 is divided by 237.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 0.3 (c) -4 (d) 0.1815 (e) -0.586 (f) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2 - 4*q + 3. Let d be i(2). Suppose -b + 21 - 8 = 3*u, -3*u = d*b - 3. Calculate the least common multiple of 4 and -3 + u\/2 + 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -204*h**3*m**2 + 693*h**3*m*x - 4*h**2*m**2*x + 10*h**2*x - 19*h*x - 3*m**2 - 3*m wrt h?\nAnswer: -1224*m**2 + 4158*m*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17123 + 17127. Which is the nearest to 1\/5? (a) 1 (b) 9 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 891 is divided by 49.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 11 = -3*s, 5*j - 4*s - s - 85 = 0. Suppose 158*l - j = 153*l. Solve -l*d - 10 = d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294043 is divided by 425.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 637*o**2 - 1 - 1302*o**2 + 666*o**2. Determine u(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -1\/345 (b) -2 (c) 0.02 (d) 0.3 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1372 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 4 + 4714*d - 6 + 426*d.\nAnswer: 5140*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (-1 + 9 - -5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2019 divided by -9\nAnswer: 673\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139132 is divided by 139020.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 6:58 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 152767869*u**3 - 22*u**2 + u + 753100.\nAnswer: 916607214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 460 is divided by 94.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 3*u + 85 = 0, 2*q + 8*u = 3*u + 15. Let v = q + -20. Suppose 2*n = 4*n - 2. Solve 0 = -l - v - n for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 979721070 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + a)*(-9*a + 9*a**3 + 9*a).\nAnswer: 9*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**2 - 11*r + 43. Let l be w(-8). Suppose 3*a - 666 = -l*f, -a + 3*f + 419 = a. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24706 divided by -2?\nAnswer: 12353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence enn when three letters picked without replacement from {h: 10, t: 4, n: 3, e: 3}?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -193*r**6\/10 + 647*r**3\/6 - 109*r**2 - 2*r. What is the first derivative of z(o) wrt o?\nAnswer: -6948*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*d - 5, -2*k + 2 = d - 2. Let p = 15 + k. What is the lowest common multiple of 18 and p?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - 23) + 65\/9.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 109174 and 5130.\nAnswer: 14738490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 6*i + 3. Let d be h(6). Let y = 25 - 14. Solve -d*n = -y - 4 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 5*p**2 + 7*p + 8. Let s be (-2)\/(1\/(-2) - -1). Let g be q(s). List the prime factors of (1 + 1)*-18*3\/g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001833842 rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 55408553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 20, -880, -1, 3, 5 in decreasing order.\nAnswer: 20, 5, 4, 3, -1, -880","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 113455.296s in days?\nAnswer: 1.31314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18*1\/5)\/(132618\/2541845)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -195959*h. Let m(x) = -10*x. Determine a(m(g)).\nAnswer: 1959590*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dnm when three letters picked without replacement from mmnwwmdndm.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + sqrt(80) + 1 + 3 + (sqrt(80) + 1)*-2 + -4 + sqrt(80) + 0 + 3 + -1)**2 + 5.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by 2557.\nAnswer: -11\/2557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**34*(u*u**(-27))\/u*u)**(-4\/11) assuming u is positive.\nAnswer: u**(-40\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + -2)\/(14\/(-224)). Let n be (1\/(-4))\/((-4)\/p). Let j = 30 + n. What are the prime factors of j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*z - 4*n = -73*z - 228, 0 = -2*z + 3*n + 69. Let v = -191 + 382. Calculate the remainder when v is divided by z.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*m**4 - 247678*m**3 - 666947*m**2 wrt m?\nAnswer: -48*m - 1486068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58 + -56. Suppose -q*i - m - 5 = -7*i, 0 = 4*m. Which is the nearest to 1? (a) -0.2 (b) i (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1247 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 0.11.\nAnswer: -0.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 33493 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: Which is greater: 6561 or 6557?\nAnswer: 6561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (132\/(-60))\/(1\/(-5)) and 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3002003 - 1020?\nAnswer: -3003023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/2268 and -67\/648.\nAnswer: 4536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ke when two letters picked without replacement from kskjejfkkkksjkkkj?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -163*a**2 - 8971*a - 8808 = 0.\nAnswer: -8808\/163, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 2276?\nAnswer: 15932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*c**2*u - 21257853*c**2 - 178622959*c*u wrt c?\nAnswer: -8*u - 42515706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -119*q - 4. Let p(m) = -24*m - 1. Let o(k) = 5*p(k) - y(k). Let d(t) be the first derivative of -2*t**2 - 5*t - 1. Give -2*d(b) + 6*o(b).\nAnswer: 2*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 8231, 10994, 13755, 16514, 19271, 22026?\n\"Answer: -r**2 + 2766*r + 5466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**2 + 239*u + 3304. Determine b(-16).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(2) + -2 + 4))**2.\nAnswer: 36*sqrt(2) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 3318.\nAnswer: 16590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24968a4 (base 12) to base 15.\nAnswer: -9681e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/2)\/((-51)\/510). Suppose 6*y - d*y = -2, 3*y + 46 = 4*s. Solve -2*w - 4*a = -s, -2*w = -0*a + a + 2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*q + 1286 = 8285, 0 = -v + 3*q + 6964. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 494207953?\nAnswer: 5449, 90697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8318867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/7)\/j)\/j)**(-17)*j**1*j*j**(-10) assuming j is positive.\nAnswer: j**(148\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1599 + -1654. Let g be (-1)\/(-2)*8*-4. Let v = g - n. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 326 - -230. Calculate the remainder when c is divided by 47.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -1609, -5, 4, 5, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -82, -250, -566, -1078, -1834?\nAnswer: -2882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/36 and 2130\/(-45)*(-11)\/4136.\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/7 (b) 0.47 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 158*z + 6246414 - 18560934. What is z rounded to the nearest one thousand?\nAnswer: 78000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**3 - 3*l**2 - 2*l + 2. Suppose 0 = 4*m + 5*z - 82, -7*z + 2*z - 44 = -3*m. Calculate the remainder when m is divided by d(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2. Let s(m) = m**2 - 299*m + 299*m + m**2. Determine f(s(o)).\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**4 + 3*o + o**3 - 2*o - 3*o**4 - 3*o**3 to m + k*o**3 + f*o**2 + w*o + u*o**4 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, l: 1, g: 1, x: 1, u: 2, h: 1}. Give prob of sequence hlu.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -0.5, -63, 277?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183359*u - u**3 - 366712*u + 0*u**3 + 183353*u.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 4, -w + 4*n + 89 = -33. Suppose 5*d + 48 = w. What is the lowest common multiple of d and 42?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 55\/6 of a day?\nAnswer: 13200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b - 6. Let l be w(-11). Let v(i) = -3*i - 1 - l + 2*i + 4. List the prime factors of v(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.0197 (b) -82 (c) 0.4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*d + 7*d + 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 411070 divided by -7474?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -6*l + 13*l - 4*l - 3. Let n(v) = v. Give h(c) - 4*n(c).\nAnswer: -c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/1*(-8)\/(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from swsoowsgsgo. What is prob of sequence sggs?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 = -10*x - 57. Let n(m) = -m**3 - 19*m**2 - m - 33. Calculate n(x).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 255718?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*((-52)\/(-16))\/(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a micrometer in nanometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -573 + 377. Is q > -197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.276? (a) -4\/9 (b) 0.5 (c) 125\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 119\/55 equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x**3 + x - 1. Let s(l) = -l**3 - l**2 - l + 1. Let r(n) = j(n) + s(n). Let v be r(1). Which is the second smallest value? (a) v (b) -1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 49\/(-2)*(-24)\/14. Let o be (-60)\/(-14) - 126\/z. Determine j, given that -12\/7 - 12\/7*j - 3\/7*j**4 + o*j**2 + 6\/7*j**3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2970 = -41*y + 31*y. Let c = y - 252. What is the lowest common multiple of c and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 2 x, and 1 j when four letters picked without replacement from {x: 3, w: 3, b: 2, j: 7}.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - m + m)*(2 + 8*m - 2) + 0*m - m**2 + 0*m.\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 5*n + 155 = 0, 2*d + 2*n = 39 + 39. Suppose -2*h - h + 27 = 0. Calculate the remainder when d is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -66\/443 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 513 - 511. Find the second derivative of -136*y**2 - 4255*y**3 + 10 + 3*y - 10*y**f + 4253*y**3 wrt y.\nAnswer: -12*y - 292","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 6*d - 63. Give j(18).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -71314404 + 34787*d + 71314404 in the form g*d + z and give g.\nAnswer: 34787","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.856 + 7.756. Which is the smallest value? (a) -27 (b) -3 (c) i (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16869 and -9.6?\nAnswer: 161942.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1532899079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o\/(o*o**(-32)))\/o)*o\/(o*o\/o**(-14)*o))\/(o**(-10\/3)*o*o**19) assuming o is positive.\nAnswer: o**(-188\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of 17*t**8\/20160 + t**5\/3 - t**2 + 8*t. Let p(w) be the third derivative of x(w). Let m(k) = 4*k**2. Give p(m(c)).\nAnswer: 272*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2321325 (base 6) in base 12?\nAnswer: -59245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -220*b + 2. Let t(y) = -2*y**2. Calculate a(t(i)).\nAnswer: 440*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirteen eighths of a milligram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-349.\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9565120 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hndttktahnhd. Give prob of sequence ndd.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 4*k + 4. Let i(g) = 2*g**2 - 3*g - 3. Give 3*a(s) + 4*i(s).\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10651 + 24492. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/6 - (-4)\/(-3). Let h be 12 + -15 + q*1. Let u(s) = -s**3 - 6*s**2 - 7*s - 6. What is u(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1606156734?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29572906 to the nearest integer?\nAnswer: 5438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u = -242 + 242. Solve u*n + 6*n = -6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000027658 rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 5. Let t(r) = 2*r**2 - 14. Let f(h) = 14*a(h) - 5*t(h). Let c(d) = 11*d**2. What is c(f(w))?\nAnswer: 176*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 544 - 396. Is (-58)\/(2*(-4)\/i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 16767376, 16767375, 16767374, 16767373?\n\"Answer: -o + 16767377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*h - 74*h = 1127*h - 75050 - 17696 for h.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, -0.24, -2, -0.1, 0.03 in descending order.\nAnswer: 1\/8, 0.03, -0.1, -0.24, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, h: 4, q: 5, m: 4, a: 1}. What is prob of sequence mgqg?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9479 - -14518. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-6) + 168\/180. Which is the closest to f? (a) 1\/8 (b) -4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 5. Let s(n) be the third derivative of -n**3\/6 - 89*n**2. Let i be (-1)\/((-3)\/(-6)) + 0\/(-1). Determine i*s(m) + j(m).\nAnswer: m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 962.5882 centuries in decades?\nAnswer: 9625.882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 11:13 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48311 is divided by 475?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1125*x**3 + 213456075*x**2 + 56921680*x + 3794780.\nAnswer: -5*(x - 189739)*(15*x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/(-36)*6*(-8)\/6. Let r(j) be the first derivative of -1\/4*j**4 - 1\/2*j**s + 3 + 4*j + 2\/3*j**3. Calculate r(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 13 = 20*b, 3*b - 25 - 1 = 2*c for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b - 2. Let a(g) = -1 - 3*g + 4*g + 3*g. Let z(h) = 2*a(h) - 3*f(h). Let t = 13 + -8. Calculate z(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/12885198 and 157\/120.\nAnswer: 257703960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of 0*z**2 - 91\/3*z**3 - 97 + 0*z - 14*z**4. Find the third derivative of f(j) wrt j.\nAnswer: -336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 587, 1175, 1763, 2351, 2939?\nAnswer: 3527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 14495200 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: Factor 6*a**2\/11 - 2460*a\/11.\nAnswer: 6*a*(a - 410)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167917778?\nAnswer: 2, 7, 11994127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a meter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 324 is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 47?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 95.6?\nAnswer: 382.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -4364645?\nAnswer: 4364652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19779603 to the nearest integer?\nAnswer: 4447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(4\/17)\/c)\/c*c\/c**(1\/37) assuming c is positive.\nAnswer: c**(-498\/629)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4313, 8635, 12965, 17303?\nAnswer: 21649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**3 - 2*j**2 + j - 3. Let a be i(0). What is the second smallest value in 0.5, a, 0.2, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + (sqrt(117) - 1*sqrt(117)*-5))*-4 + -1*(3*sqrt(117) + sqrt(117) + 4) + -1 + -3)**2.\nAnswer: 1536*sqrt(13) + 119872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**4 - 3*z**5 + 4*z**4 + (0*z**3 + 0*z**3 - z**3)*(3*z**2 - 5*z**2 + 0*z**2) + (z - 1 + 1)*(16 - 7 + 10)*(-47*z**4 - 15*z**4 + 25*z**4).\nAnswer: -704*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o + 0*o + 0*o)*(-2 + 6 - 2) - 7*o + 5 - 5 - 22*o - 20*o + 4*o to the form l + w*o and give w.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 103*m**4 + m**3 + 1655*m**2 + m wrt m?\nAnswer: 2472*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 4) in base 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/11, 2\/3, 45, -5, -31, 5\/2, -0.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/5, 9\/2, 3, -6, 0.07 in descending order.\nAnswer: 9\/2, 3, 0.07, -6\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 54*a**4 + 3881304*a**3 + 194036261*a**2 wrt a.\nAnswer: 1296*a + 23287824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 2*x - 21. Determine z(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 13519350 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*h - 2595 = -211 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1165 is divided by 37?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 283247980?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.18 + 0.82. Let r be (-3)\/27 - (-928)\/576. Sort r, w, -5 in decreasing order.\nAnswer: w, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*s + 5*s + 5*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, u: 3, g: 4}. Give prob of picking 1 g and 3 u.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*o + 5. Solve 3*t = 5*x - 9, o*x - 4*t = -9*t + 16 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3587955*m**5 - 4*m**2 + 500*m + 853?\nAnswer: -71759100*m**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 - 44*y**2 - 1412*y - 2640.\nAnswer: (y - 66)*(y + 2)*(y + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of h**5\/15 + h**4\/24 - h**3\/3 - 5*h**2. Suppose -4*a = a. Suppose 2*c + 4 = -a*c. Give g(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 95 = 4*m, -187 + 97 = 3*m - 5*s for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 m when three letters picked without replacement from mxxxxxmmxxxxxx?\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2495943, 2495949, 2495955, 2495961, 2495967?\n\"Answer: 6*d + 2495937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.4 (b) -5 (c) -305\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5980826121 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1449241, 1449242, 1449243, 1449244, 1449245, 1449246?\nAnswer: 1449247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2323, 4751, 7501, 10735, 14615?\nAnswer: 19303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4*(1 + sqrt(272)) - sqrt(272)).\nAnswer: -12*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7672670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**3 + 4254131*s**2 - 4254131*s**2.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 7:42 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 2:20 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 2\/7*c**4 + 58 + 8\/7*c**2 + 22\/7*c**3 + 0*c. Solve t(i) = 0.\nAnswer: -8, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 561990428282 and 0.04?\nAnswer: 561990428281.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1871312ms to nanoseconds.\nAnswer: 187131.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1\/12) + (-1)\/4\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 + 0.1. Let d = -42 - -46. Which is the second biggest value? (a) d (b) z (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-5*((sqrt(931) - (sqrt(931) + 2))*6 + sqrt(931)))**2 - (((sqrt(19) - (1 + sqrt(19) + 3)) + -5)**2 + 0)).\nAnswer: -4200*sqrt(19) + 26789","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**3\/2 - 189*l**2\/2 - 2673*l\/2 + 9801\/2 = 0. Calculate l.\nAnswer: -33, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-4)*(-10)\/(-15). Let n be (60\/25)\/((-4)\/(-10)). Let q be 2 - (-4)\/(-16)*n. What is the nearest to y in q, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 88*u + 46 + 61 - 15*u**2 + u**2 - 92*u as j*u + o*u**2 + m and give o.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -587*m**2 + 2*m - m**3 + 585*m**2 + 10*m**4 + 2*m**3 to y*m**3 + r*m + v + p*m**4 + i*m**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -31 + 11 + 0 + -2 + 4\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1050 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -15*p**3 - 6*p**2 - 10*p - 21. Let l be q(-5). Let w = -793 - -1396. Let t = l - w. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-31185)\/90)\/99*20\/(-14). Put q, -3\/2, 0.4, -16, -3 in descending order.\nAnswer: q, 0.4, -3\/2, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/10389819 and -13\/6.\nAnswer: 20779638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00035787 rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 465 and 8288160?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 302 + 112 + (4 - (1 + -3)) and 336.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9 + -9)\/(-1 - 0). Let i be 138\/(-36) + (3 - a). Suppose -5*z = -3*j - 9, -9 = 2*j - 3. Is z > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*o + 810 = -162*o for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 14?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/60)\/(3\/195). Let u(c) = -19*c + 8. Let a(o) = 9*o - 4. Determine b*a(t) - 6*u(t).\nAnswer: -3*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is 1 - ((-7 - -10) + (28 - 23))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -325 - 84*j**2 - 107*j + 62*j - 85 + 49*j wrt j.\nAnswer: -168*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -165074 - 3?\nAnswer: -165077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 49794 divided by 579\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1988 is divided by 485?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 46830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101110 - -333012?\nAnswer: 1100122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - 1 + 3*u - 2*u)*(-2 - 1 + 4)*(-4 + 0 + 1).\nAnswer: -3*u + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2786 = -3*r + 5*y + 1910, -2*y + 8 = 0. Let k be 16\/72 + r\/(-27). Let x = -25 - k. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 14*m**3 - 5*m**2 + 19*m + 5. Let r(k) = -22*k**3 + 8*k**2 - 29*k - 8. What is -8*o(d) - 5*r(d)?\nAnswer: -2*d**3 - 7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 12, k: 6, n: 1}. What is prob of picking 1 n and 1 z?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2392246 to the nearest integer?\nAnswer: 1547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 2:56 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 - -32. Let a(c) = -c**3 + c + 18. Calculate the remainder when (-71)\/(1 + -1 + -1) is divided by a(l).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**2. Let q(k) = -64675417*k**2. What is b(q(r))?\nAnswer: 8365819128247778*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -418 - -421.98. Let b = -0.02 - l. Let g = -3.9 - b. Which is smaller: g or 2\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(2\/5))**(-2)*((m*(m\/(m*(m*((m\/(m\/(m*m**8)))\/m*m*m)\/m*m)\/m*m))\/m)\/m)\/m*m**(-2)\/m assuming m is positive.\nAnswer: m**(-86\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 72\/33 + (-6)\/33. Suppose w - 35 = -4*w + 5*i, -5*i - 25 = 0. Solve 0 = -w*n + 6*n - 2*r + 2, -2*n + x*r + 2 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -2*o - 64. Let a be 8\/o + 3522\/90. Let j = a - 235\/6. Sort 1\/12, 4, j, -3\/7.\nAnswer: -3\/7, j, 1\/12, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23550888 to the power of 1\/4, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*g - 11*g + 37376*g**2.\nAnswer: 37376*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of i**4\/3 + i**2\/2 + 3*i. Let c be f(1). Solve q = 5*h + 4, -c*h + 8 = -0*q + 2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - c = -10, 0 = 3*c + 2 - 14. Let m be 1 + -3 - (3 + -8). Suppose 2*i + 1 = m*i. Sort 0, a, i in decreasing order.\nAnswer: i, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 + 171 = s + a, 0 = 3*a - 9. Let t(o) = 2 + 6 - 20*o + 14. List the prime factors of t(s).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 3520\/240 + 16\/(-6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**2 + 3734*p + 434968. What is q(-110)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 9*b**3 - b**2 - 4*b + 1. Let h(k) = -35*k**3 + 4*k**2 + 17*k - 5. Let y(z) = -2*h(z) - 9*r(z). Suppose 0*o = -3*o - 3. Does 11 divide y(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 + -17. Suppose -a*y = -5*w + 12, 0 = w - 2*w + y + 2. Which is smaller: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e9 - -3?\nAnswer: -e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -1\/20*o**5 - 1\/2*o**3 + 3*o**2 + 5\/12*o**4 + 2*o + 0. Calculate the remainder when 18 is divided by w(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*t**3 - 15*t**3 - 15*t**3.\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/210*(-12)\/(-144)*30. Let w = 0.62 - 0.56. Let h = -5 - -3. Which is the second biggest value? (a) w (b) 0.5 (c) j (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 12:46 AM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 290 + -292. Let q be 2\/8 + 0 + 1. Which is the closest to 2? (a) -0.2 (b) y (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + -5*(sqrt(70) - (sqrt(70) - sqrt(70)*2 - sqrt(70))))*3*3)\/((sqrt(40)*-1)\/sqrt(4) + 1*sqrt(40)).\nAnswer: -126*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 253 divide 1823507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*s - 7*s - 4*s - 9*s to the form m*s + l and give m.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6dee79 (base 15) in base 2?\nAnswer: 10100000101010111111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 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: Simplify ((-2*sqrt(33))\/sqrt(11) - -4*1*sqrt(3)) + -1.\nAnswer: -1 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((-5)\/40 - 0). Let k(o) = -o**2 - 11*o - 6. Does 9 divide k(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m - 5*a - 19, m + 3*a - 882 = -899 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(200) + (sqrt(200) + 1 - sqrt(200)) + 5 + 1)**2*4 + 4.\nAnswer: 560*sqrt(2) + 997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v. Let z(b) = 2*b. Suppose 2*l + p + 2*p = 7, 0 = l - 2*p - 21. Calculate l*n(y) + 4*z(y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**4\/13 + 3374*d**3\/13 + 106144*d**2 - 36636800*d\/13 = 0 for d.\nAnswer: -856, 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 3*z**3 + 2*z**2 - 5*z**3 - 8*z**4 + 5*z**4 in the form l*z + f + n*z**4 + r*z**3 + u*z**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5 = -4*r - 9, p + 3*r + 3 = 0. Let m = -43\/70 + 3\/14. Which is bigger: m or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**4 + q**3 - 1. Let s(v) = -5*v**4 - 5*v**3 + 7*v**2 + 13*v + 10. Let k(z) = -s(z) - 4*y(z). Suppose k(t) = 0. What is t?\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 29\/(-58) + (-14)\/(-4). Solve v*q + 15 = 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 314255 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-3)\/(-6))\/(1\/(-389730)*-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100011000010100 (base 2) to base 9\nAnswer: 26543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 373 is divided by 126?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7213.036 hours to microseconds.\nAnswer: 25966929600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -27134*m**2 - 16*m + 3460929 wrt m.\nAnswer: -54268*m - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**2 + 7*n - 11. Let v be p(9). Let w = v + 251. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in 13, 2\/5, -18.1, -2\/5?\nAnswer: -18.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39301.\nAnswer: 39301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.021301 to 4 dps.\nAnswer: 0.0213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*a - 85 - 266 = -31 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 1908 = 4*w, -5*f + 4 = -4*f. List the prime factors of w.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45094, -45154, -45254, -45394, -45574, -45794?\nAnswer: -46054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3319 - -11.6681. What is the third biggest value in x, -0.03, 131?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*u + 2157 = -140*u - 335 for u.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g. Let j = 0 + 3. Let x(w) be the first derivative of -w**3 + 2*w**3 - 2 + j. Give x(l(b)).\nAnswer: 27*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1112021220 (base 3) to base 11\nAnswer: 20686","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/7*(-910)\/195. Does 6 divide h\/(-2) + (8 - -246)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**2)**(-48)\/((o*o**(-6))\/o**8)*((o*o**(1\/8)\/o)\/o**(-15))**(-12) assuming o is positive.\nAnswer: o**(-529\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 244 + -229. Let z be f\/10*(-8)\/24. What is the smallest value in 1, z, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38 - 19. Let i = p + -19.7. Let z = 1.1 + i. What is the third smallest value in z, 13, -1?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 17, h: 2}. What is prob of sequence fhfh?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*o**3 - 189*o**3 + 106*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 87 = -3*l, q - 7 + 50 = -5*l. Let v be -1*5\/(15\/q). Suppose 17 = k + 6*w - 2*w, -3*k + v = -3*w. Solve -4*o - 28 = k*c, 5*o + 0*c - 6 = 4*c for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2242.561 rounded to the nearest 100?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnkntknnkjnkntnontk. What is prob of sequence kknn?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/3)\/(126985\/(-7923864)).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2*sqrt(19)*-6)**2.\nAnswer: 2735","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1479 - 5721 = -50*i. Does 16 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of 11*i**4\/4 + 5*i**3\/3 + 5*i**2\/2 - 5*i - 73. Let h(k) = -6*k**3 - 3*k**2 - 3*k + 3. Let d = 0 - 5. Determine d*h(w) - 3*b(w).\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 767266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 14*t**2 + 228*t + 2174. Let n(v) = -5*v**2 - 76*v - 725. Let l = 19 + -22. Let c(d) = l*r(d) - 8*n(d). Factor c(h).\nAnswer: -2*(h + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/2*(-4 - 3). Let f be 2\/3 - t\/(-21). What is the highest common factor of 1 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1685305*b**4 - 26*b**3 + b**2 - 317540132*b?\nAnswer: -20223660*b**2 - 156*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 1. Suppose -4*w + 4*f - 4 = 0, -5*w - 3*f = -25 - 2. Suppose -2*c = -5*v + c - 9, w*c - 9 = 0. Is y at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and -55709.7.\nAnswer: -55707.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + s - 8. Let h be v(-6). Let w = h - -32. What is the remainder when 4\/w - (-778)\/18 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 4, 0.2, -3, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 2. Suppose -4*b = -8*o + 3*o - 18, 2*b + 3*o = -w. Solve b*r - 2 = 4*a - 0, -a + 2*r + 1 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 675\/(-20)*(-16)\/(-6). What is the common denominator of -69\/22 and ((-228)\/56)\/(t\/35)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(360)\/(sqrt(36)\/sqrt(3)) + sqrt(30) + sqrt(150)\/(sqrt(25)\/sqrt(5)))\/((sqrt(384) + sqrt(384)*2)*2).\nAnswer: sqrt(5)\/16 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63062063?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 times -3.45177?\nAnswer: 2.761416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(2450)*2 - sqrt(2450)) + (sqrt(50) - sqrt(150)\/sqrt(27)) + 3)**2.\nAnswer: 920*sqrt(2)\/3 + 26594\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 13*j**2 - 243*j + 38. Let k be m(23). What is the biggest value in 3\/2, k, -2, -1\/6?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -229*f**2 + 5728*f - 75. What is z(25)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*a - 6*a - 5*a as o*a + q and give o.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -514284821\/255 - -2016794. Let x = a - 50\/51. Let l = x + 52\/5. What is the biggest value in 0, 0.5, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3199 + -914941\/286. What is the common denominator of w and -103\/22?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6*(-3309)\/33390 - (-9)\/(-15). Is 0 at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(9\/((-81)\/24)). Which is the nearest to -2\/3? (a) -3 (b) i (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-6)*(-3 + -3). Suppose -o*x + d = -105, -2*x + 2*d = -3*d - 93. What is the highest common divisor of x and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 75*s - 413. Give b(80).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 376*c - 749*c + c**3 + 373*c.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/910 and -3\/1456?\nAnswer: 7280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 224 + 14*f - 15*f - 224.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*w**2 + 52*w**2 - 6*w**2.\nAnswer: 70*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 109 + 12350?\nAnswer: 12459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*v = -13*v + 216. Let b(l) = l**2 + 6*l - 13. Determine b(v).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.82263 rounded to 3 decimal places?\nAnswer: 4.823","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -v**3\/6 + 2*v**2 - 2*v. Let w be o(4). Are -3\/14 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jqj when three letters picked without replacement from cjsccjqccjjqqjsjs.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 30 = -5*n, -5*n - 30 = -0*q - 2*q. Let w be (-3)\/(63\/12)*n\/12. Factor -6\/7*u**2 - 6\/7*u - 2\/7*u**3 - w.\nAnswer: -2*(u + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -1777*q - q**2 - 8 - 2*q**2 + 1774*q - q**3. What is the tens digit of h(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, -4, -1.2, 3?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -31*c**3 - 16*c**2 - 45*c. Let w(d) = 6*d**3 + 3*d**2 + 9*d. Determine 2*v(h) + 11*w(h).\nAnswer: 4*h**3 + h**2 + 9*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 332, 335, 338?\n\"Answer: 3*g + 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 616 (base 7) to base 11.\nAnswer: 25a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 3*v**2 + 3*v - 3. Let d(i) = -2*i**3 + 10*i**2 - 10*i + 10. Let h(m) = 2*m - 6. Let o be h(8). What is o*a(p) + 3*d(p)?\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 2\/5 (b) -0.4 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1623416?\nAnswer: 2, 307, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5257991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5 + (sqrt(1053) - ((sqrt(1053) - (0 + sqrt(1053))**2) + sqrt(1053) + 1))).\nAnswer: -4228 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 843 - 464. Let z = 12 + o. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -5*g - 51. Let t = -9 - g. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z - 3*c + 13, -51*z - 4*c = -22*z - 45 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21683.33, -0.2, -5 in increasing order.\nAnswer: -21683.33, -5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 125, 282, 453, 644, 861?\nAnswer: 1110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + y + 0*y - 13 = 0, v + y = 1. Let b be 2\/(-6) + 461999\/v. What is b rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 211*n**2 - 11*n - 8. Let p(f) = -141*f**2 + 7*f + 5. Give 5*k(g) + 8*p(g).\nAnswer: -73*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 18*g + 2. Let c be 3\/10*-2 + -38*(-17)\/85. Let r(t) = 27*t + 3. Give c*y(d) - 5*r(d).\nAnswer: -9*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (1671*g - 4069*g - 3 + 1772*g)*(1 + 11 - 11) in the form n + w*g and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 159813266?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2251.1 + 2251. Let x be 45\/21 + (0 - 1). Which is the second biggest value? (a) x (b) -1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3a9038 - -1a?\nAnswer: -3a9019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 85*j**2 - 5*j - 52. What are the prime factors of r(-4)?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 2*l - p + 328, -4*l - 5*p + 650 = 0. Is l a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m**3\/5 - 694*m**2\/5 - 2628*m\/5 + 43416\/5 = 0. Calculate m.\nAnswer: -18, 134\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -4*y**3 - 76*y**2 - 8*y - 204. Give x(-17).\nAnswer: -2380","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of 0 - 17\/10*f**5 - 2\/5*f**6 - 6*f + 8\/3*f**2 + 4\/3*f**3 - 13\/9*f**4. Find k such that t(k) = 0.\nAnswer: -2, -2\/3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 7:00 PM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 + 50. Which is the third biggest value? (a) 0.2 (b) r (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6115090 and 2680.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 3*z. Let t be (-13)\/(1\/(-2 - -3)). Let w = -2 - t. What is the least common multiple of w and r(5)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -221001 + -10?\nAnswer: -221011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 534 is divided by 28?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9063522 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -132*g**3 - g**2 - g. Let n be j(-1). Suppose d - 5*x - n = -d, -3*x = 5*d - 299. Let p = 91 - d. Is p a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 8 = 3*j + 4*m, 0 = -4*j + 2*m + 4. What is the third derivative of -2*b**5 + j*b**2 - b**2 + 0*b**2 wrt b?\nAnswer: -120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -85573 less than -85775?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 66, 121, 198, 303, 442, 621?\nAnswer: 846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -12. Let j be 112\/(-60) + (4 - 2). Which is the nearest to -2\/7? (a) -2\/3 (b) w (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*u**5\/7 + 4868*u**4\/7 + 167050*u**3\/7 + 161928*u**2\/7 - 135144*u - 171072\/7 = 0 for u.\nAnswer: -88, -54, -3, -3\/17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(25)\/sqrt(5) - (-1 + sqrt(720)).\nAnswer: -13*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/(-28)*(-402)\/536. Which is the second biggest value? (a) -4 (b) 9 (c) l (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 2 g, and 1 a when four letters picked without replacement from aaggnagoaoggiaib.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3*o = 21, 5*d + 3*o + 3 - 27 = 0. Let q be 0 - ((-2)\/(-2) + 1). Let x = d + q. Calculate the remainder when 2 is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 6*l**2 + l - 3. Let s be i(6). Suppose -22 + 7 = -s*y. Suppose -y*r + 16 = 1. What is the lowest common multiple of r and 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 312886.\nAnswer: 2, 7, 22349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-1\/2))\/l**(3\/2))\/(l**(-2\/3))**(-6\/5)*(l**(-3)\/((l*l**(-10)*l)\/l))**(-50) assuming l is positive.\nAnswer: l**(-1509\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*f*g**2 + 52140592*f + 15486031*g**2 + 2*g - 3 wrt g?\nAnswer: -6*f + 30972062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*z + 15 = -3*i + 56*z, -10 = -7*i + 8*i - 2*z for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -307, -325, -361, -421, -511?\nAnswer: -637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.7*3946265.5\nAnswer: 2762385.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 3*w + i, -4*w + 6*i = 2*i - 56. Calculate the remainder when 58 is divided by w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -35 - 37. Let c = p + -64. Let v(i) = -i + 3. Give v(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 divided by 1176.\nAnswer: 9\/392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*f*g*m + 216510*f*m + 2*g*m - 2*g + 779*m - 140 wrt f?\nAnswer: -2*g*m + 216510*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x\/(x*x*x**0\/x*x*x)*x))**22 assuming x is positive.\nAnswer: x**66","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -954844 and -954839 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 12 = 5*q, 9372*q - 9377*q + g = -4 + 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.886 and -1?\nAnswer: 0.886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*1\/5*10*(584\/(-112))\/73.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 1 = -5*u. Suppose 3 + u = a. Calculate the remainder when a is divided by 0 - 4\/((-4)\/2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 808750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 13*f**2 + 35*f - 17. Let d be a(-7). Suppose 46 = 26*v - d. What is the biggest value in v, -32\/3, -0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -6500, 1 in decreasing order.\nAnswer: 1, 0, -6500","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 47370667 less than 1.61?\nAnswer: -47370665.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 8:19 PM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 + 0)*(4*z**2 + z - 3*z + 3*z).\nAnswer: 16*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*k - 476 - 538 = -17*k for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 114\/30)*230\/(-69)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2*u**4\/7 + 2742*u**3\/7 + 1253094*u**2\/7 + 190887986*u\/7 = 0.\nAnswer: -457, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 12919 divided by -9002\nAnswer: -12919\/9002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 13 + 9 = 5*h, -3*h - 3*q + 6 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0, 10, 564 in increasing order.\nAnswer: 0, 7, 10, 564","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2325322986 to the power of 1\/2, to the nearest integer?\nAnswer: 48222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 313423 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 2*t - 40, -3*u = -u + 5*t - 84. Calculate the highest common divisor of 8 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35734*h**2 - 14184*h**2 - 27870*h**2.\nAnswer: -77788*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(12\/7))**50 assuming c is positive.\nAnswer: c**(600\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 802 a factor of 45227988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 41*d**2 - 54*d - 51. Give s(43).\nAnswer: 1325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 160 and 4868544.\nAnswer: 24342720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/4*2*0\/(-39)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*m**2 + 130*m**2 - 520*m**2 + 156*m**2 + 133*m**2.\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 237 - 249 = 0. Does 27 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*x - 2*g, 0 = 2*x - 6*g + g - 22. Let y(a) = 3*a + 4. What is the remainder when y(x) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12412 + 12599. Solve 183*x - r*x = -4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-120)\/(-9) - 5\/15. Let t = g - 12. Is t at most 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, 2, 136581, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 814267852 divided by 4\nAnswer: 203566963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-31)\/310)\/(6\/(-15))*6\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + (-2)\/(-4)*4. Suppose m*a - 4 = 2. Suppose 2 + a = 2*g. Solve -2*b - 4*y = -3*y - 1, g*y - 14 = 2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**2 + 3452794*f + 2980446601609 = 0.\nAnswer: -1726397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002485788696 to five decimal places.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 - -21. Let w = i + 22. Let v = -21.999861 + w. Round v to five decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.61 + 0.09. Let i = l - 0.6. Which is the closest to i? (a) 1\/4 (b) -5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5*(sqrt(75) - (0 + sqrt(75))**2)*5 - ((sqrt(3) + -1)*2 - (sqrt(81)\/sqrt(3))\/sqrt(9))).\nAnswer: -1877 + 126*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35132, -35139, -35148, -35159, -35172, -35187?\nAnswer: -35204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 8*u**4 - 2*u + 1129*u**2 - 1130*u**2 - 3*u to the form j*u**4 + s*u**2 + x*u**3 + y + t*u and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-390)\/(-165) - (-8)\/(-22). Factor 0*n**i - 6\/5*n + 2\/5*n**3 + 4\/5.\nAnswer: 2*(n - 1)**2*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 15 + 10)*(2302 + 200*l - 2302)*(-1 - 1 + 0).\nAnswer: -1600*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 15) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 9*u - 53. Let i(h) = 10*h - 54. What is 2*i(d) - 3*o(d)?\nAnswer: -7*d + 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 892522684?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -544.6 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 4 - 2) + -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4*2*(sqrt(1008)*-3*6 - (2 + -1 + sqrt(1008)))*-6)**2.\nAnswer: -838400256 - 1050624*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4533591679 rounded to two dps?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 + (1 + -3 - (10 + -2 + (-109 - -108))).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 117 + -134. Let q = -13 - h. Let -q*f**2 - 64*f + 22 - 3*f**2 + f**2 = 0. What is f?\nAnswer: -11, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9709*j**2 - 42*j**3 + 4853*j**2 - 245 + 4857*j**2 + 35*j**3 to the form y*j**2 + l*j**3 + z*j + p and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2409, -2347, -2285?\n\"Answer: 62*y - 2471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**5\/3 + 206*x**4\/3 + 866*x**3 - 1456*x**2\/3 - 1352*x\/3 = 0. Calculate x.\nAnswer: -26, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 343*x - 36671. Determine n(107).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*q**5 - q**2*v**2*w + q**2*w - 2*q*v**2 - 4*q*v*w - 2*q*w - 2*v**2*w wrt q.\nAnswer: 60*q**3 - 2*v**2*w + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1141\/9 + 163\/9. Let u = x - -931\/6. Calculate the common denominator of (-303)\/12*4\/(-10) and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -75\/13 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + l = -35, -m = m - 4*l. Let z be 2\/(-6)*(1 + -4). Solve -5*c - m = -5*y, 0 = y + 2*y + 2*c - z for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 8:10 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 1. Let b(p) = -p**2 + 5*p + 1. What is the remainder when b(3) is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - d**2 - d - 1. Let y(j) = -5*j**2 - 5*j - 20. Let h(r) = 2*r**2 + 2*r + 11. Let p(u) = -5*h(u) - 3*y(u). What is -2*p(s) - 10*z(s)?\nAnswer: 10*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a**2 + 1189 - 1189.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 95*b**2 + 6 - 15*b - 159*b**2 - 5 - 83*b**2 as r + m*b**2 + y*b and give m.\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25078 + -18422. Calculate the highest common divisor of 192 and j.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m + 2*m + 0 - 4. Let b be d(-7). Suppose 2*l = 5*j - 63, 2*j + 0*j = -2*l + 14. Solve 2*i - j = -b*u, 4*u + i = u + 13 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -183 - -191. Let p(s) = -9 + 32 - s + c + 3*s. Let o(a) = a. Determine p(o(m)).\nAnswer: 2*m + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2035 is divided by 227?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0.03 (b) -0.1 (c) 242\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -730802 - 0?\nAnswer: -730802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, r: 1, w: 2, z: 3, l: 11}. Give prob of sequence zz.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24983 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 18\/11, -0.3, -24, 44\/9, -2\/15?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -5*l + 14. Determine v(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 305888*m - 305838*m + 1350 for m.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 49682869799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4528*p + 4525*p + 9. Solve 8 = 5*d + u, -p*u + 12 = 5*d - 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -361*s**6\/150 - 1881*s**5\/100 - 457*s**4\/15 - 54*s**3\/5 - 8*s**2\/5 - 23*s - 5. Let r(c) = 0. What is c?\nAnswer: -4, -1, -2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20245468.\nAnswer: 2, 5061367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57*l + 13*l + 9*l - 8*l**2 - 8*l**2 to m*l**2 + r + n*l and give n.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 456*k + 51 + 1791 = -1806 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -767*m + 53677. Give h(70).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.465987 take away 2471?\nAnswer: -2470.534013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10231 + 29431. Suppose 0 = 12*w - 14*w + j. What is w rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -134 + 62. Let x = y - -142. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -32456, 4, 3, 0.1, 0 in descending order.\nAnswer: 4, 3, 0.5, 0.1, 0, -32456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 128*a**3 - 65*a**2 wrt a.\nAnswer: 768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, z: 1, p: 1, i: 8, w: 2}. What is prob of picking 1 p, 2 i, and 1 z?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 52*((-2)\/5 - 14\/(-10)). Suppose -265 = -4*w - t - k, 1 = t. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-18)\/12*(-4)\/(-3). Let h be 129 + v*(-3 + 4). Suppose -3*a + h = -4*j, -4*a + 174 = 2*j - 5*j. What is the highest common factor of 18 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*m**6*w + 2732664*m**4*w - 26666332*m**2*w wrt m?\nAnswer: 360*m**3*w + 65583936*m*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -7*s - 340. Determine p(-49).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163*u**3 + 166*u**3 - 503*u**3 + 172*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvv. Give prob of picking 2 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - 10*q - 16. Calculate k(12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*m + 9*m = -12, 3*y + 6 = -2*m. What is the nearest to 0.6 in -0.5, -4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3020711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 + 56. Suppose -5*l + 7 = 2. What is the third biggest value in x, l, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - 13. Let j = -16 - n. Let o = j + -11. What is the biggest value in 3\/7, o, 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2903586 to the nearest integer?\nAnswer: 1704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 2*u - 2*b - 2669, 0 = -5*u + 3*b + 2671. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by -2905.\nAnswer: -24\/2905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h + 2*h**4 + 5*h)*(-16 + 4 + 3).\nAnswer: -18*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 90*h - 2 - 57*h**2 - 128*h + 66*h.\nAnswer: -57*h**2 + 28*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 101 + -90 - (14 + -2). Let g(d) = d - 4. Let y be g(0). Let q = 8 - 13. Sort q, -3, y, c in descending order.\nAnswer: c, -3, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 20 = -2*m. Let h = 1201 - 1143. Calculate the remainder when h is divided by m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6559543, 6559552, 6559565, 6559582, 6559603, 6559628?\n\"Answer: 2*s**2 + 3*s + 6559538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18445289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 43035607?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 542 and 2?\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*u**5 + 8673*u**2 - 73886*u?\nAnswer: 60*u**3 + 17346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15.41 - 15.71. Let o = 19 - 32. Let a = -64\/5 - o. Is l greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 130924 and 6745.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a. Let d(x) = -482*x**2 + 10604*x. Give 4*d(s) + 21208*y(s).\nAnswer: -1928*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1785017\/18 + 99210. Do i and 43 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6a15c - 47d?\nAnswer: -6a5da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 20*n - 11 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 0*n + 0*n)*(-2*n**3 - 3*n**3 + 0*n**3) + (20 - 13*n**3 - 20)*(-n + 2*n - 2*n).\nAnswer: 8*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 1 - 7) + -9\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1664152 to the nearest integer?\nAnswer: 1290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4147 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*7\/700*5*8.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1893084.04 - -4?\nAnswer: -1893080.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*y + 102*y = -2*o + 9, -3*o = -3*y - 21 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, h: 1, r: 2}. What is prob of picking 1 r and 1 h?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-45) + 18\/20. Let n = -3 - 2. Which is the fourth smallest value? (a) 0 (b) k (c) -2\/15 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -16 - -17 - (360\/(-175) - (2 - 5)). What is the fourth biggest value in -3.5, r, 2, 1\/8?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-58)\/(-18) - 6\/27. Suppose 4*g + 2 = -5*w - 8, -4 = 5*g + 2*w. Suppose g = -2*s - 2*s. Sort 5, d, s.\nAnswer: s, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 4*s**2 - 8*s + 2. Let d(k) = 5*k**3 - 20*k**2 - 40*k + 9. Let w(n) = 2*d(n) - 11*v(n). What are the prime factors of w(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 2) + 17 + -12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*o = 11*o - 23*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 12*r + 4*r = 33, 5*q - 3*r = 24 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84264.9 millennia to years.\nAnswer: 84264900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16621360247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**0*m*m*m**3*m*m*(m**(2\/5)*m)**(1\/23) assuming m is positive.\nAnswer: m**(812\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 128.56617 seconds?\nAnswer: 0.001488034375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 18 = 3*a - 5*m, -5*a - 3*m + 68 = 0. Suppose 2 = 3*x - a. Find the second derivative of 2*o**5 + 0*o - 5*o + 5*o + x*o wrt o.\nAnswer: 40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*f + 12*f + 16*f**3.\nAnswer: 16*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -9930 (base 11) in base 5?\nAnswer: -404401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 21, -2, 5 in ascending order.\nAnswer: -3, -2, 0, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -131.4+-2\nAnswer: -133.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 8*n**2. Suppose -27 = -18*o + 17*o. Let f(x) = -o + 27 - x. Determine f(p(m)).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -9*w + 228. Let z(r) = 2*r - 1. What is -j(m) - 6*z(m)?\nAnswer: -3*m - 222","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 9\/((2 - 9) + 8)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4*i**2. Let s(h) = 23*h + 12. Let p(f) = -69*f - 34. Let t(c) = -6*p(c) - 17*s(c). What is t(x(y))?\nAnswer: 92*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 802522241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 0, 7, 28, 69, 136, 235, 372?\nAnswer: 553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 572317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2483, 4964, 7445?\nAnswer: 9926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -5*(3 + (sqrt(468) + 0)**2 + (sqrt(468) - (-4 + sqrt(468))**2)*5))*6 + -3.\nAnswer: -8100*sqrt(13) + 58473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ab when two letters picked without replacement from {a: 3, b: 15}.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -11. Let l(q) = -46*q**2 - 59*q**2 + 120*q**k. Let c(h) = -39*h + 39*h - h**2. Give l(c(o)).\nAnswer: 15*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from szssvuvzszuvssvh. Give prob of sequence uz.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51228 = 1981*o - 43304 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x + x - 5*x - 13 + 13 + 9*x + 3*x + 3*x - 5*x + (-6 + 6 + 8)*(-6*x + 0*x + 4*x) + 1 - 1 - x.\nAnswer: -11*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 351025.5ng in micrograms?\nAnswer: 351.0255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 8*l. Let a(o) = o**2 + 7*o + 10. Let i be a(-4). Let m(p) = -2*p**2 - 3*p + 3. Let u(x) = x**2 + 2*x - 2. Let s(d) = i*m(d) - 3*u(d). Give s(r(h)).\nAnswer: 64*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1344)*4*-5)\/((1*(sqrt(7) - (sqrt(7) + 2*sqrt(7))) - sqrt(7)) + sqrt(7) - (2*sqrt(448) + sqrt(448))).\nAnswer: -160*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3071903196 to the power of 1\/3, to the nearest integer?\nAnswer: 1454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/48*1\/((-2)\/(-4))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 7*o**2 + 4*o - 3. Determine f(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7745339, 7745344, 7745349, 7745354?\n\"Answer: 5*y + 7745334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by 78800.\nAnswer: -21\/78800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.541 to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*y + 4*m + 824, 0 = m - 5. Is y a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 - (2 + 3 + -21) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(((-945)\/(-2646))\/(135\/(-9)))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of 2*v**3\/15 - 205*v**2 + 8920. Factor s(m).\nAnswer: 2*m*(m - 1025)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 2*f - 5*t - 15, -8 = 2*t for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 + 33 + -2 + 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2 + 4*g. Let f(n) = n**2 + 6*n. Let l(o) = 3*o**2 + 16*o. Let i(d) = 8*f(d) - 3*l(d). Calculate i(k(z)).\nAnswer: -4*z**4 - 16*z**3 - 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.88 - 0.16. Let z = 1.04 - 1. Let u = z + a. Put -0.1, u, 2 in descending order.\nAnswer: 2, -0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/4455 and 82\/89505.\nAnswer: 984555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 5:37 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208)\/(sqrt(484)*-1 - sqrt(484) - sqrt(484)))\/((sqrt(64)*3 + sqrt(64))*3))**2*1.\nAnswer: 13\/2509056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*m - 45 - 12*m + 3*m - m**2 wrt m.\nAnswer: -2*m - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 49.\nAnswer: -2, 0, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 1:20 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, v: 2, u: 8, h: 2}. What is prob of sequence shhv?\nAnswer: 7\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 6:13 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 201011202100 (base 3) in base 2?\nAnswer: 1011100001001100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 6*i - 8. Let o(a) = -8*a**3 - a**2 + 1. Let m be o(-1). What is the remainder when (-26)\/3*3\/(-2) is divided by r(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -j**3 - 416. Let h(c) = 60*c**2. Determine h(q(n)).\nAnswer: 540*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 5:30 PM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4243, 8377, 12397, 16303, 20095, 23773?\nAnswer: 27337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**(29\/4)*u\/((u\/u**(-2\/71))\/u)*u**6\/u**(5\/9) assuming u is positive.\nAnswer: u**(425\/2556)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of 0*v - 5\/2*v**4 + 7 - 1\/3*v**3 + 0*v**2. Find the third derivative of x(s) wrt s.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 55*a**2 - a - 167. Let x(y) = 36*y**2 - y - 113. What is 5*l(m) - 7*x(m)?\nAnswer: 23*m**2 + 2*m - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2547 (base 8) in base 15?\nAnswer: -623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16139258?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 1. Let r(n) be the third derivative of n**6\/4 + 11*n**3\/3 + 2308*n**2. Calculate -88*o(k) - 4*r(k).\nAnswer: -32*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11\/5 in -0.03, 1\/37, 0.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1967, 3940, 5927, 7934, 9967?\n\"Answer: q**3 + q**2 + 1963*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmammaammammmmma. What is prob of picking 4 m?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/12 and 30\/(-65) - 5511\/2340?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50302 is divided by 827.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = a. Suppose a = -3*z - 0*z - 12, 2*b + 10 = -5*z. Suppose -2 = -d, -2*j + b*d + 15 = 3*j. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14.592601 * -2\nAnswer: -29.185202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 10*a - 37. Let f be n(4). Suppose -25 = 2*c - 4*h - 75, 0 = -c + h + 23. Calculate the highest common divisor of c and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l**2*q*t + 43*l**2*t**3 - 2*l**2*t**2 - 19*l**2 + l*q*t - 401*q*t**3 + 12*q*t wrt t.\nAnswer: 258*l**2 - 2406*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + t - 4. Suppose -2*u - 2 = 3*s, 4*u - 8*u = -3*s + 22. Suppose s*a = -3*a. Let y be 2 - ((1 - -1) + a). Determine m(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 529060000 rounded to the nearest one million?\nAnswer: 529000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1134\/(-4158))\/(92\/(-44)).\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59014.57 weeks in days?\nAnswer: 413101.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3320003001 (base 4) to base 7\nAnswer: -11431050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qhhhzqdzgghzgzlqq. What is prob of picking 1 l and 2 z?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11591.9 - 11592. Let k = 0.04 + -4.04. What is the fourth smallest value in h, -0.3, -0.4, k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 31480 to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -6, 7*t - 2*t - 4*s + 12 = 0. Solve 0 = -z - t + 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1566511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 6*r + 3. Let m be y(6). Suppose -v + m*u = -u - 16, 5*v = 5*u + 35. Which is the closest to 0.2? (a) 0.4 (b) v (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 9*i**2 - 3*i + 7. Does 6 divide l(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2 - 667200*v - 55644480000.\nAnswer: -2*(v + 166800)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - -2*(sqrt(11) + 1)) + sqrt(11) + sqrt(396)*2.\nAnswer: 2 + 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1432218?\nAnswer: 2, 3, 238703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (((-75)\/9)\/(-5))\/(11*1\/66)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -2.3173?\nAnswer: 6.9519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t + 1. Let g be o(-2). Solve 0 = 4*j - 5 - g for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 4*s - 10. Suppose 0 = 5*d - 3*j - 47, -3*j = -d + 2*j + s. Let r be (1 + d\/6)*3. Solve 4*i - r = -p - 3*p, 3*i = 5*p + 6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - v)*(9*v**2 - 98*v + 98*v) to the form r*v + k*v**3 + p + l*v**2 and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jerjx. What is prob of picking 1 x and 1 j?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 39492 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.81 - -0.21. Let g = -1.6 - h. Let t = -1.1 - -5.1. What is the closest to -0.1 in t, g, 5\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 6 (b) -241807 (c) -0.4 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*c - 5*c**2 + 6*c**2 + 25*c**4 - 2*c**3 + 21*c**4 - 44*c**4 - 6*c**2 in the form k + t*c**4 + z*c**2 + a*c**3 + g*c and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, j: 4, z: 2, g: 1, v: 1, e: 4}. Give prob of picking 1 z and 1 v.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - a + 1. Suppose i + 3*i + 5 = k, -2*k + 6 = -4*i. Let n be y(k). Let b be ((-2)\/4)\/(6\/4). Is b not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a hour in seconds?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 541666390 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**2 + 2*p**2 - 276*p + 54*p - 2*p**2 to t*p + u*p**2 + o and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2b7 + -62d1?\nAnswer: -6018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*m = 7, 0 = 2*k - 3*k - 3*m + 10. Solve 3*x + 2 + k = -2*u, 4*x = u - 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -16*i**3 + i**2 + 5. What is the remainder when n(-2) is divided by 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + ((sqrt(126) + sqrt(126) + -5*-1*sqrt(126))\/sqrt(2))\/(1*sqrt(1089) - -1*sqrt(441))).\nAnswer: -7*sqrt(7)\/3 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 250 and 300250.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.353 + 0.073. Let v = m + 0.78. Which is the nearest to v? (a) 4 (b) -1\/3 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 2*s + 2103. Suppose 14*a + 0 = -0. Is v(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8 (b) -5 (c) 0.4 (d) -15 (e) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 822 and 36.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 214888, 214889, 214890, 214891, 214892?\n\"Answer: q + 214887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 192\/140*(-20)\/8. Which is greater: -4 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - ((0 - 2) + -1 + 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.26 + -0.74. Is h >= 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.2748ml in litres?\nAnswer: 0.0032748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -60 + 58. Which is greater: t or -7\/11?\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of k**3\/3 + 7*k. Let b(p) = 8*p**2. Determine b(s(i)).\nAnswer: 32*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 69 and 147519?\nAnswer: 3392937","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -31118*i**2. Let t(m) = m**2. What is t(u(z))?\nAnswer: 968329924*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*-2*3\/18*(-11)\/(-5)?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 3*r = -32, 20 = -118*r + 120*r for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 270432 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 59 = -579. Let q = -104 + b. Suppose -2*i + 0*a - 3*a - 599997 = 0, q = -i - 5*a - 299995. Round i to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 4*q - 140, -2*t + 2*q = -80 - 32. Calculate the remainder when t is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -9, -3 in increasing order.\nAnswer: -9, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -62 - (-10 + 2 + 7 + -21 + 18 + 17)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -208 + 183. Let u = -27 - -70. Let c = u + f. What is the remainder when c is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 18. Let w = 2 + q. What is the second smallest value in -2, w, 2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80550 divided by -5.\nAnswer: -16110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3715 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-32)\/20)\/(2\/(-5)). Let x = 12 - h. What is the remainder when 22 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186 + 34 = -110*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19211\/12 - -1601. Let f(r) be the second derivative of 1\/6*r**3 - r**2 + 0 + i*r**4 + 1\/20*r**5 + 13*r. What is f(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27.271 + 25.62. Let d = o + 1.75. Let c = -0.004 + d. Round c to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 1:54 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 2:29 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100110111000001100100 - -1000?\nAnswer: 100110111000001101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 236*k - 928. Let p be c(4). Calculate the highest common divisor of p and 2032.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55726 and 3278?\nAnswer: 55726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-seven quarters of a meter in centimeters?\nAnswer: 2175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1072, 2150, 3230, 4312?\nAnswer: 5396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f - 2. Let r(a) be the third derivative of 0*a**3 + 15 - 3*a**2 + 0*a + 1\/24*a**4. Suppose 1 - 6 = -5*i. What is i*d(t) - 6*r(t)?\nAnswer: -4*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35 + 35 + 8*m**2)*(-m + 39 - 1 + 57)*(-3 + 2 + 9).\nAnswer: -64*m**3 + 6080*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*j + 1176 = -8*b + 3*b, -5*j + 46 - 19 = -5*b - 17 + 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 + -7 - (-62 + 12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31404 + 11250?\nAnswer: -20114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 12084*d**3 - 9387*d**3 - 2.\nAnswer: -21471*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 47*s + 500. Give l(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.52 * 14.\nAnswer: 7.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 33216292?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 6*l + 30. Let i = l + 15. Let v(a) = a**3 - 5*a**2 + a - 1. What is v(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -2\/45 (b) -0.43 (c) -4 (d) 38.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 149 in increasing order.\nAnswer: -5, 0, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1 + sqrt(425) + (1 + 0 + sqrt(17) + sqrt(17) + sqrt(17))*-6 - (3 + 4*(sqrt(153) + sqrt(153)*-1) + 5))**2.\nAnswer: 442*sqrt(17) + 3162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 2*m + 37. What is the units digit of x(14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*c + 1 - 1)*(-110*c**3 + 90380 - 2*c**2 - 90380)*(2 - 3 + 0)*(0 - 2 + 1) as p + x*c**3 + z*c + j*c**4 + i*c**2 and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19.5 - -19.6. What is the closest to o in -1\/2, -0.4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-112)\/14*(-504)\/108*(-3)\/(-16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1092 divided by -13\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -1 - 1 - (-9 - -14)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-336)\/(-8) - 1*2. Suppose -i = -5*r + 4*g + 5, 15 = -2*r - 5*g. Suppose 9\/4*l**r + 1\/4*l - 2*l**2 + 0 - 6*l**4 + 11\/2*l**3 = 0. Calculate l.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 - -42. Let p(s) = s**3 - 13*s**2 - s + 17. Is p(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t**3 - 4*t**2 + 3*t**2 - 21*t**3.\nAnswer: -14*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 3*v - g = -227, 0 = 2*v - 3*g - 144. Round v to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*y - 41 + 6*y - y + 0*y.\nAnswer: -4*y - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 4730*q - 268 - 21723*q + 104 + 164 in the form i*q + c and give i.\nAnswer: -16993","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = r. Suppose -2*o = o + 3. Let x = r + o. Are x and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2114367.\nAnswer: 3, 23, 30643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**3 + x. Suppose 4*b - 9*b = 10. Let n(l) = -l**3 - l. Calculate b*w(t) - 3*n(t).\nAnswer: -t**3 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u - 3. Let j(p) = 5*p - 6. Let h(d) = 3*j(d) - 5*w(d). Let s(x) = -9*x + 6. Let r(a) = 5*h(a) + 3*s(a). Differentiate r(q) with respect to q.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*n - 18*n**2 + 11*n.\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -7, -25, -61, -121, -211?\nAnswer: -337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 7, 2\/39, -2.71, 1?\nAnswer: -2.71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1301860 divided by 7658\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3*c + 794, 2*m = -4*c + 5*c - 263. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 5:18 PM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3832 divided by -2?\nAnswer: -1916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 116 - 116.5. Suppose 2*d - 7*d = -15. What is the third biggest value in q, d, -1\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 150777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 410?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 4*n**2 - 4*n + 7. Let j be c(-5). Let d be -5 + j*(-2)\/(-4). Suppose -16 = 3*m + m. Is d < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.743+13.6345\nAnswer: 14.3775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -28 not equal to -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.16 - -0.34. Let j = 104 - z. Let l = 103 - j. What is the second smallest value in l, 0, 4, -3\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/7, -22977, -2\/15, 3, 2\/7, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - -111. Let t = n + -133. What is the nearest to -13 in 0.4, -0.1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1137404*u = 1137383*u - 546 for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -13*y**3 - y**2 - 17*y - 19. Determine r(-4).\nAnswer: 865","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 66914 divided by 2408\nAnswer: 33457\/1204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of 7*v**6\/6 - 11*v**2\/2 - 35. Find the second derivative of z(n) wrt n.\nAnswer: 140*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48776048137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 7609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 68*s - 133. Give m(-66).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19? (a) 26 (b) -0.5 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.922652 millilitres in litres?\nAnswer: 0.000922652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*w - 42*w - 272 = -225*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -121.5 and -96050.\nAnswer: 11670075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.38 - -0.88. Put 29, 0, y in increasing order.\nAnswer: y, 0, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 4) to base 9.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2975400?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s + 2*s**3 + s + (0*s + 0*s - s**2)*(-2*s - 2*s + 5*s) - 2*s**2 - 2*s**3 + 2*s**2 + (s**3 + 4*s**2 - 4*s**2)*(-3 - 1 + 0).\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 259 - 259. Let g = 33 + -58. Sort y, -3, g in decreasing order.\nAnswer: y, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 24556*q - 4 + 24638*q.\nAnswer: 82*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 502 + 8*h**2 + 288 - 790.\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 11*d**2 - 3*d + 6. Let o(l) be the first derivative of 2*l**3 - l**2\/2 + 3*l + 6743. Calculate -4*i(y) + 7*o(y).\nAnswer: -2*y**2 + 5*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dll when three letters picked without replacement from {d: 3, l: 4, g: 8, i: 2}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1*(1237 - 1243)*(0 + (-22)\/3)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 5:23 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286966323.\nAnswer: 3, 7, 4555021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 3\/2, -2\/7 in descending order.\nAnswer: 5, 3\/2, 0, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 95 - 100. What is the nearest to 1 in -5\/4, 2, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*k + 34*k - 105*k**2 + 126*k**2.\nAnswer: 21*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 43*u*v**4 - 2*u*v**3 - 25*u*v + 6*u - 5*v**3 + 2*v**2 - 1 wrt v?\nAnswer: 1032*u*v - 12*u - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1567638?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*3\/18*21?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -6*u**2 + 2*u - 6. Suppose 5*g - 45 = 5*l, -5*l - 81*g + 78*g - 21 = 0. Let f(r) = -7*r**2 + 2*r - 7. What is l*p(m) + 5*f(m)?\nAnswer: m**2 - 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**(-1)))\/((u**31\/u)\/u*u)*(u**(1\/4))**(-6\/5) assuming u is positive.\nAnswer: u**(-313\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**3 + 2*h**3 + h**3 + (21*h + 56*h + 7*h)*(21*h**2 + 18*h**2 - 14*h**2).\nAnswer: 2103*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (18 + 9 - 23)*(-5 + 2 + 1)*(-2 + 2*u + 2) as l + h*u and give h.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 3:02 AM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-10))\/(6\/30). Suppose -2*q - 5*z + 4 = 0, 0*z + 3*z = 5*q - 72. Suppose a = -o*a + q. Is a a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -89377737\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 38, 43, 28, -13, -86, -197?\nAnswer: -352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 511.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -0.2 (c) -11 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 - -565. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -217*a - 57. What are the prime factors of w(-3)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.03 + 8.97. Let h = 0.018 + -11.018. Let k = n + h. Sort -2\/3, 1, k in descending order.\nAnswer: 1, -2\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -30*q**3 - 11*q**2 - 37*q - 186. What is the hundreds digit of g(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-180))\/((-1)\/(-3))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 10 = 2*b, 3 = -56*b - 37*b + 92*b + g for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11953 is divided by 5261.\nAnswer: 1431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24760359 and 43485?\nAnswer: 123801795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -355, -3, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -1 + 3 + -4 + -2 + -6\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -364 times 0.21\nAnswer: -76.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i. Let b(c) be the third derivative of 1\/8*c**4 + 0*c**3 + 3*c**2 + 0*c + 0. Give t(b(o)).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**15*u*(u*u\/u**(1\/44))\/u*u*(u\/(u*((u*u\/(u*(u\/(u\/u**(-1)))\/u*u)*u)\/u)\/u)*u)**(-2\/13) assuming u is positive.\nAnswer: u**(791\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 168, 23 in descending order.\nAnswer: 168, 23, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/1489 (b) 7\/2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22475841 and 7750290?\nAnswer: 224758410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 280, 5, 82 in decreasing order.\nAnswer: 280, 82, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 326371 - -2660?\nAnswer: 330141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7280 = -145*l - 69*l - 5715 + 1867 for l.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -6*b + 6. Suppose -3*z + t = -31, -14*z + 7*t - 4*t = -138. Calculate the remainder when c(-6) is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-224)\/168 - -2*1\/2. Which is the second biggest value? (a) d (b) -9\/208 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4507 + 11\/(-44)*44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19753 divided by -11801\nAnswer: 19753\/11801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -386085\/53 or -7284?\nAnswer: -386085\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 4417253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrjtyjjjjjttffjyjjpt. Give prob of picking 1 r and 1 p.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 2*u**2 - 3*u. Let t(n) = -n**2 - 6*n - 5. Let j be t(-4). Let y be a(j). Suppose -3*d + 12 + 0 = y. Solve -d*r + 17 = 1 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -8\/17, 0.5, -2, -0.0314, 16 in decreasing order.\nAnswer: 16, 4, 0.5, -0.0314, -8\/17, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.00263+10.8\nAnswer: 10.79737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/108 and -119\/4835916.\nAnswer: 4835916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 25404*z**2 - 14895*z**2 + 4*z - 3*z - 13596*z**2 in the form q + m*z**2 + o*z and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -130978318\/15 at least -8731888?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2085\/37 - -4281\/74. Put 25, 0.1, -2\/3, m in descending order.\nAnswer: 25, m, 0.1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 8*f**2 - 15*f - 9. Let r be w(5). Let j = r + -83. What is the greatest common factor of 11 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1013430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.12 - 7.4. Let x = s + 0.38. Let v = -2 + x. Which is smaller: 7 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y - 1 + 1)*((5*y**2 - 3*y**2 - y**2)*(-4*y + y + y) - y**3 + y**3 + 3*y**3) as z*y**3 + t*y**4 + m*y**2 + b + o*y and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 15. Let r = 7 + h. Suppose r*d - 9 = -0*d. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 1242320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (37*x - 14*x - 59*x)*(19*x - 4*x + 5*x) as u*x + j*x**2 + d and give j.\nAnswer: -720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12*3\/(-6))\/69?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -2*k**5\/5 + 4*k**4 + 56*k**3\/3 - 80*k**2 - 2262. Find p, given that o(p) = 0.\nAnswer: -4, 0, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 3*x**2 + x + 15. Let i be c(4). Solve 4 = i*n - 7*n - 5*k, n + 2*k + 4 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 753*m + 1. Let q be u(-1). Is 3 - 3\/(6\/q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*t + 3*t + t)*(-107*t + 107*t - 499*t**2) to the form n + g*t + k*t**3 + r*t**2 and give k.\nAnswer: -499","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of 417*o**3\/2 - 207*o**2 + 2961*o. What is the derivative of b(y) wrt y?\nAnswer: 1251","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 236 + -239 + (2 - 4) + -2 + 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 390958130 plus -0.8?\nAnswer: 390958129.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -56 + 58. Solve 0 = -q + c*w - 6, 5*q + 3*w = -5 - 12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -694*c + 413. Let d be w(0). Solve 428*x = d*x + 60 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of 3*n**2 + 3*n - 3\/4*n**5 - 7\/2*n**3 + 1\/10*n**6 - 1 + 9\/4*n**4. Let i(b) be the first derivative of l(b). Factor i(c).\nAnswer: 3*(c - 2)*(c - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of 4\/21*d**3 + 1\/21*d**4 + 18 + 0*d + 1\/210*d**5 - 13\/2*d**2. Let r(t) be the second derivative of q(t). Solve r(h) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 5) to base 9.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/((x*x**(-2\/3)\/x)\/x)*x\/((x**(3\/4)*x)\/x)*x)**(-30)\/(x*x**(1\/7)*x**5*x**(-6)*x**5) assuming x is positive.\nAnswer: x**(-2137\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-132)\/420 - 21\/(-35)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 - -2.3. Let o = s + -2. Is o < 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**2 + 7*s - 35. Let z be t(13). Suppose 3*o - 4*v - z = 0, -4*o + 5*v - 8*v + 492 = 0. What is the greatest common divisor of o and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 754 in 45, -2\/3, -0.2, -2?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 5*g = 420. What are the prime factors of g?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1685, 1638, 1549, 1412, 1221, 970, 653?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 105 + -98. Calculate the remainder when g is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 3*f - 8. Determine l(9).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*s = -19*s - 68. Suppose -3*q - 157 = -0*o - 5*o, 34 = o + 2*q. Calculate the remainder when o is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -179\/1079 - -1\/83. Let w be (-11)\/(-22)*(-1)\/2. Put -2, d, w in increasing order.\nAnswer: -2, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135889911 to the power of 1\/3, to the nearest integer?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5653195*q**3 + 2*q**2 + 3965054?\nAnswer: -33919170","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -3\/7, 2, -0.208?\nAnswer: -0.208","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.4, 8, 819?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -3*q**5\/20 - 163*q**3\/6 - 571*q**2 + 588*q. What is the derivative of r(a) wrt a?\nAnswer: -9*a**2 - 163","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1224400 rounded to the nearest 10000?\nAnswer: 1220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.7 + 0.3. Let k = 49 - 42. Suppose -h - 28*g - 3 = -26*g, 5*g + 12 = 2*h. Which is the nearest to y? (a) 2 (b) h (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 w, and 1 e when three letters picked without replacement from qfqeffqfyqdqfwd?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -215*a*d*x - 816*a*d - 173*d - 359*x wrt a?\nAnswer: -215*d*x - 816*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26247 = 361*q + 1658*q for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11873 + -11864. Which is the third smallest value? (a) r (b) 3.83 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 122*x - 128*x - 18 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 0*p + 760 = m, -2*p + 3*m = -503. Suppose 1124*g - 950 = 1122*g. Let v = g - p. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8471 - -24990. What are the prime factors of p?\nAnswer: 16519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -0*t + 3*t. Suppose -2*q - y + 21 = 0, q + 2*y = y + t. Solve 5*z = -3*p - 4, -3*z = -4*p - 2*z + q for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 87 + -126. Let j = o - -34. What is the biggest value in 0, j, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of x**4\/12 + 654*x**2 - 2*x - 1. Let w(m) = 19842*m. Determine w(r(b)).\nAnswer: 39684*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1850347 + 0?\nAnswer: -1850347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -347 - -350. Suppose -2 = -s, -5*i + 43 - 12 = w*s. Put i, 2, -4, 4 in increasing order.\nAnswer: -4, 2, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*g - 3*g = -210. Which is the nearest to -2? (a) 4 (b) -1 (c) -2\/11 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -x**4 + 6903417*x**2 - 29707448*x.\nAnswer: -12*x**2 + 13806834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 701 a multiple of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17663 + -8381. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t - 8. Let m(i) = -74*i + 6. Let q be m(0). Let v(s) = 4*s + 28. Let h(j) = q*v(j) + 21*x(j). Let a(u) = 9*u. Calculate a(h(b)).\nAnswer: 27*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 2*h**5\/115 + 21*h**4\/46 + 110*h**3\/23 + 25*h**2 + 1500*h\/23 + 414. Suppose y(v) = 0. Calculate v.\nAnswer: -6, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -4*a**4 + 136*a**3 - 1284*a**2 + 2176*a - 1024 = 0.\nAnswer: 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*(39\/(-12) - -2). Let u = 11 - s. Suppose 3*j - 24 = -u. Calculate the remainder when 21 is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) -0.3666 (c) 8 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.3 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate l*p**3 - 6*l*p**2 - 150*l*p + 11*l + 8*p**3 - 15103*p**2 with respect to l.\nAnswer: p**3 - 6*p**2 - 150*p + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*c = 6*c - 66. Factor -c*b - 3 - 1\/3*b**2.\nAnswer: -(b + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 1, 0 = 5*w - 3*x - 42 - 251. Suppose z - w = -z. Let l be -2*(0 - (-6)\/(-4)). Solve -5*j = -4*g - z, 3*g = -l*j - 2*g + 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35552245.\nAnswer: 5, 7110449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 251 + -250.843. Round z to 2 dps.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1023 + 2236. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/22*234\/429.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -22887?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 2:08 PM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169\/2 + 86\/3*y - 1\/6*y**2 = 0.\nAnswer: 3, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-240)\/(-72))\/((-2)\/(-3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -91) + -5 - (6 - (23 + -13 + -13))\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -17*t + 8*t. Suppose -5*s + 81 = i, 5*s = t*i - 291 + 36. Is i a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 1)*(-7 + 3 - t + 10) in the form z*t + q and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 24306371.25 rounded to the nearest 100000?\nAnswer: 24300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 22. Let h = 2\/5047 - -60542\/55517. Let c = -5.3 - -5. Sort c, s, h in decreasing order.\nAnswer: h, c, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 365 minutes after 12:53 PM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, v: 4, e: 8, d: 1}. What is prob of picking 3 e?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, m: 4, z: 3, n: 3, x: 3}. What is prob of sequence nzmi?\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -15. Suppose -5 = -2*b - z - 3, 0 = -o*z - 8. What is the second derivative of -b*i**4 + 3*i**4 + 4*i + 2*i**4 + 2*i wrt i?\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 300665 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 3 = v, -v - 47 = -5*y. Calculate the least common multiple of 10\/(-15) + 14\/3 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/87)\/((-3125)\/(-1250))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y + 2*y**2 + 7*y**4 - 3*y**4 + 2*y**3 + 5*y**4 to w*y + h + a*y**2 + x*y**3 + k*y**4 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*q**2 - q**2 + 2*q**2)*((2 - 3 - 1)*(-2 + 2 + 2*q) + 16*q - 3*q + 0*q - 3 + 5 - 6*q - 3) in the form x*q**3 + h + i*q + j*q**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -q**4\/12 - 14*q**3\/3 + 4*q**2. Suppose -u - 14 = 2*g + 3*u, 82 = -4*g + 10*u. Give l(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17680 or 2?\nAnswer: -17680","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 20*x - 121. Let c be s(6). Do 6.05 and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m**2 + 8*m**2 - 8*m**2. Let x(y) be the first derivative of 3*y**2 + 6. Let i(f) = -13*f. Let v(r) = 2*i(r) + 5*x(r). What is v(u(b))?\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i - 2*i - 173 + 174 + 3 - 3 + 2*i - 2 + i + 2 + (i - i - 2*i)*(-4 - 2 + 4) - 3 - i + 3 - 3*i - 44*i - 1 + 2*i.\nAnswer: -38*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -l + 4*y, 18*l - 2*y = 22*l. Is -3\/4 greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 77 - 39. Suppose 7 + j = b. Suppose -3*k = k - b. Solve -4*o - 8 = -5*u + u, k = -2*o + 3*u for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16025 + 18027. What are the prime factors of z?\nAnswer: 2, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5480346?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*4*-3*sqrt(432)*5)**2.\nAnswer: 1555200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + (-7 - -36) + -51.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/19 (b) 2\/9 (c) 2 (d) 14 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -61 - -34. Let m = t - -51. Is 2 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v + 38. Let o be x(8). Let n(w) = 28*w - 34 + 12*w - 53 + o. Is n(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*j, -4*g + 0*j + 1250 = -5*j. Is g a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -5*b**2 + 11*b - 6. Let a be 0 + -17 - (-198 - -177). Give z(a).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 4*n + 92, 3*n - n = -5*r + 86. Let b be (-295)\/(-4) - (-4)\/r. Suppose 3*u - u - b = 0. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 286655878?\nAnswer: 2, 143327939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*i - 4*m - 5, -4*i - 5 = -3*m. Let o(v) = -9*v**2 + 6. Let t(n) = -n**2 + 1. Give i*o(g) - 6*t(g).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**2\/15 + 34*i\/5 + 432\/5 = 0. What is i?\nAnswer: -27, -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-18) + (-25)\/(-6))*2. Let x(y) = 1 - 8 + 95*y**2 + h - 2. Let a(w) = 3*w**2. What is x(a(k))?\nAnswer: 855*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -21840000 rounded to the nearest one million?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*f - 4*f + 0*f)*(4 + 0 - 3) - 3 + 3 - 2*f)*(-4 + 5 + 1)*(1 + 2 + 0)*(1 - 1 + 4) to l*f + y and give l.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2304.993 * 33.\nAnswer: 76064.769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26225087 to the nearest integer?\nAnswer: 5121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppbpbbppppbppbpppp. What is prob of sequence pb?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 10:39 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 16 = -5*c, 5*j = -25 + 5. Calculate the remainder when (4\/(-3))\/((-4)\/18) is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -53, 0.1691, 3\/2, -4, -4\/7.\nAnswer: -53, -5, -4, -4\/7, 0.1691, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -137600 divided by 8600\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-34)\/q*q)\/(q**(2\/7)\/q))\/((q*q*q*q\/(q*q\/(q**(-13)\/q)))\/q**(-18\/7)) assuming q is positive.\nAnswer: q**(-167\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 792064476 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -20*v + 2. Let l be t(6). Let x(w) = 262*w**3 - 2*w**2 + 4*w - 1. Let c be x(1). Let d = c + l. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/(-4) + 9\/(-36). Let j(u) = -3 + r + 95*u - 96*u. Determine j(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.764? (a) 1.59 (b) 1\/3 (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 121659 = -3*b, -4*b + 5*k + 175428 = 13171. What is the ten thousands digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6*1\/((-6)\/(-5)). Suppose -1589 = -c*b + 2*t, 0*b + 2*b = -4*t + 626. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 189929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 7*w**2 - 2*w. Let z be v(7). Let c = 33 + z. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -23*b + 0 + 0*b**2 + 3*b**3 + 1\/4*b**4. Factor i(s).\nAnswer: 3*s*(s + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 688 + -23397\/34. Let x = 93\/170 + s. Sort x, 3, 1 in increasing order.\nAnswer: x, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o + 469 = 92. What is the remainder when 4 + 1*106 + -12 + 12 is divided by o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 1033 = y + 1048, 4*y + 16 = -5*p for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1094545 + -4?\nAnswer: -1094549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6751452 (base 10) to base 13\nAnswer: 1525056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -23*t + 28. Let u(g) = -g - 1. Let z(c) = n(c) + 6*u(c). What are the prime factors of z(-5)?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 + 2*b + 2*b + 3*b - 4*b + (b + b - b)*(-3 + 0 + 1) + 452*b - 15*b - 2677*b to the form c + o*b and give o.\nAnswer: -2239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(((-4)\/(-5))\/((-10)\/(-25))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.93 + -113.93. Let a = h + 112.000344. What is a rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gyuy when four letters picked without replacement from {g: 8, u: 3, y: 5}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: aa6 (base 11) to base 9\nAnswer: 1733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**3 - 3*v**3 - v**3 + 6*v**3 + 626.\nAnswer: v**3 + 626","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**2\/7 + 366*g\/7 - 9180\/7 = 0. What is g?\nAnswer: 30, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254910092.\nAnswer: 2, 63727523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - o - 1. Let w be m(-2). Suppose 2*c + 4*b = c - 8, w*b = -5*c - 55. Let l be (-6)\/c + (-17)\/2. Sort 2, l, -3 in decreasing order.\nAnswer: 2, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/4 - 5*i**2\/2 + 53*i\/4 - 21\/2.\nAnswer: -(i - 3)*(i - 1)*(i + 14)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5485 + 16445\/3. What is the closest to r in 5\/4, -1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 133118 and -23.\nAnswer: -3061714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5*t + 78 = -5, 0 = -4*t - 8. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1404 = 33*h - 7*h + 26*h for h.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*3*((sqrt(605) + -1 + sqrt(605) + 5 + ((sqrt(605) + 0)*2 - sqrt(605) - sqrt(605)))**2 + -1).\nAnswer: 1056*sqrt(5) + 14610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 1425305*q**2. Let p(v) = 3*v. Give p(l(x)).\nAnswer: 4275915*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -37.72907 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2*15\/20*(-2)\/15\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 1. What is the common denominator of 1\/1 + (-73)\/z and ((-4)\/10)\/((-28)\/(-126))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 860 a factor of 121180099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 15 = -p. Let v = p + -1. Let u(s) = -3 + v + 2. Let x(n) = n + 5. What is 10*u(d) - 2*x(d)?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-236)\/(29736\/(-378)))\/((-1)\/6)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -115339*a**3 - 5*a + 6483?\nAnswer: -692034*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f + 14. What is w(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/19037 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 6*i**2 + 8*i - 7. Let k be g(7). Suppose -j + 0*j = k. Let q be (-8)\/(-24) + 1\/6. Which is smaller: q or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 222*l - 4. Let t be -5*(-4)\/11 - 32\/(-176). Let h be q(t). Suppose -13*c + h = -11*c. What is the greatest common divisor of 20 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 66 - 16. Solve -5*m = 4*t - 2, -3*m + 3*t = -m - z for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -769.99089 - -0.09089. Let g = 770 + r. Which is greater: g or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 108 + -3?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3 - 6*d + 12 + 10 - 1. Let n be g(4). Which is smaller: n or 0.23?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/250 and 68\/2625.\nAnswer: 5250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 1, -3\/5, -1 in ascending order.\nAnswer: -10, -1, -3\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 42408357 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -8. Suppose y = 4*a - 33, 0 = 2*a - 3*y + 5 - 14. Suppose c*l + 28 = a*l. Calculate the remainder when 39 is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 13*m**2 + 7*m - 4. Let b(w) = 6*w**2 + 3*w - 2. Suppose 2*u = -2*k + 12, 0*u = -5*k - u + 34. Calculate k*b(l) - 3*j(l).\nAnswer: 3*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24349*z + 5397 wrt z.\nAnswer: -24349","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of m**5\/60 - m**4\/3 + 7*m**3\/3 - 20*m**2. Let j be i(6). Solve j = z - 3 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -150108*u**3 - 3*u - 1198497 wrt u.\nAnswer: -450324*u**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*d - 2*d**2 - 17*d - 4*d + (5 - 4 + 0)*(16*d**2 - 18*d + 18*d) as l + t*d + z*d**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) + sqrt(119)*-2*-6)*-6*-5)\/(-2*((sqrt(7) - sqrt(567)) + -3*sqrt(21)\/sqrt(3))).\nAnswer: 195*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/24)\/((-6)\/18)*-10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/7))**(4\/7) assuming r is positive.\nAnswer: r**(12\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 9*c. Let b(w) = 1324185*w**2. Determine b(j(o)).\nAnswer: 107258985*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 57*x**2 + 21 + 7*x**2 + 11*x**2.\nAnswer: 75*x**2 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**3\/4 - 955413*z**2\/4 - 7165703*z\/2 - 3343998 = 0. What is z?\nAnswer: -14, -1, 955428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12310 by 5.\nAnswer: 2462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*q**2 - 6*q**2 - 9*q**2 + 0*q - 2*q**2 + 0*q + (-q - q + 0*q)*(0*q + 3*q - 2*q) - q**2 + 3*q**2 + 0*q**2)*(-4*q + q + 2*q).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 30*h**2 - 2*h - 14. What is the tens digit of x(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 489538 (base 10) to base 14\nAnswer: ca590","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2521 - 2510) + (-1 - -13)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 6735.3, -12 in decreasing order.\nAnswer: 6735.3, 5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -65*i**4 - 15*i**3 + 34133*i**2?\nAnswer: -1560*i - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 0*q - 22353 = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 91616628.996 and 0.6?\nAnswer: 91616628.396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 38 = 6*j, -2*j - 3*b = 110 - 89 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-65)\/5 - 0\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a = 5*c - 5*a, 4*c - 5*a = -4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -9 - 7 + 27*a - 5*a. What is the tens digit of o(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 19*y + 144. Let k(b) = -140 + 140 - y*b + 3*b. Let t(d) = -15*d**2. Determine k(t(l)).\nAnswer: 45*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 1 = -2*i - 2*x, -3*x = 5*i - 9. Let v be 1 + (i - -1 - 3). Factor -q - q + 8*q**2 - 17*q**2 + q**4 + 6*q**v.\nAnswer: q*(q - 2)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(242) + -1) + 3)**2.\nAnswer: -396*sqrt(2) + 8721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00213 to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 97461077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-298)\/6*5\/(25\/(-30)) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-18))\/(-1*(-1)\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 152? (a) 2 (b) -0.4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18297954.\nAnswer: 2, 3, 338851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 1) + (-4)\/(-266). Let g = 21592 - 21597. Which is the second biggest value? (a) g (b) i (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -253 + 280. Suppose -3*c + g = -5*l, 3*l - 6 = -4*c + 1. Solve -c*d - 2 + 6 = -3*r, -4*d - 4*r = -32 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -132785401 by 733621.\nAnswer: -181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3154, 10426, 22540, 39496, 61294, 87934?\n\"Answer: 2421*a**2 + 9*a + 724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + -103 + -1 + 98.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21957?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.54 times -4.61?\nAnswer: -145.3994","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is 178 divided by 1?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 10 = 2*a, 18 = 4*a + u + 2*u. Solve 0 = -2*j + a*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -549, -2190, -4925, -8754, -13677, -19694, -26805?\nAnswer: -35010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2956 not equal to 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p + 2*p - 5*y + 7, 12 = 4*y. Let c(z) = 8*z**2 + 3*z - 4. Let h be c(-4). Let o = 115 - h. Sort o, -13, p in decreasing order.\nAnswer: p, o, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 55*w + 239. Let i be j(4). Sort -24, 33, i in decreasing order.\nAnswer: 33, i, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 248\/1*6\/12. Suppose 6*y - 9*y + 309 = 0. Let v = o - y. Calculate the remainder when v is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33206363?\nAnswer: 29, 31, 43, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7557529 + 0.1.\nAnswer: 7557529.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 + -461348?\nAnswer: -461339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**3 - 3*l**3 - l**2 - 14*l - 30 - 15*l + 27*l to the form j*l**3 + m*l + t*l**2 + a and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 8.050597 micrograms?\nAnswer: 0.000000008050597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 5*q + 2. Let g be r(5). Which is the nearest to 1? (a) g (b) -1080 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/2 + (-4)\/20. Let z = -42373\/150432 + 2\/4701. Let c = z - -35\/352. Sort c, f, -3\/5 in decreasing order.\nAnswer: c, f, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0031483482 to four dps.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 431732.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of (-12089)\/(-56) + 2\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-10)*20\/8*(-276)\/(-6)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 177295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*l - 16*l + 34*l**3 - 8*l**3 + 29*l**3 + 26*l**3 wrt l?\nAnswer: 486*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.76 + -4.49. Let h = g - 0.27. Let p = -1\/4 - 1\/12. Sort p, 2, h in increasing order.\nAnswer: p, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 496, 928, 1362, 1798?\nAnswer: 2236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -48200 to the nearest one thousand.\nAnswer: -48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 2*p**2 + 2*p - 2. Suppose 2*d - 18 = 4*o, o + 2*o + 4*d - 14 = 0. Determine c(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.07915 rounded to one dp?\nAnswer: 30.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 16) to base 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*c**2 - 96*c**2 + 50*c**2 to the form g*c**2 + w + l*c and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p + 17. Let h be y(-7). Suppose -h = -8*d + 6. Suppose -69 + 15 = -d*n. Calculate the greatest common factor of 27 and n.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 384896.5 decades in years?\nAnswer: 3848965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 4788*s**2 + 36 - 49 + 6 as p*s**2 + h*s + l and give p.\nAnswer: -4788","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of 2*u**7\/147 - 22*u**6\/105 + 41*u**5\/140 - 5*u**4\/42 + 279*u. Determine r so that v(r) = 0.\nAnswer: 0, 1\/2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000014243 rounded to 7 dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/((-2816)\/55)*36\/(-9).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 300, 202, 126, 72, 40, 30, 42?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95341 is divided by 494?\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5 + sqrt(9)\/sqrt(3) + sqrt(3).\nAnswer: -4 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-454)\/(-208) - 744\/2418.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 24 = -4*n + 3*a, -2*a + 24 = 4*n. Let d be 0 + -6 + 3 + n. Let x be (4 - d)*-2 + 4. Solve -2*q - x - 8 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + 35704\/8*2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(4\/(-16)*102)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96 divided by -5.\nAnswer: -96\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/6 - -1 - (-5032)\/888. Solve q = 5*j, f*j - 25 = -0*j - 4*q for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2921 is divided by 1456.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*n**3 - 238*n + 50*n + 229*n**3.\nAnswer: 256*n**3 - 188*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6 + 2)*-1 - (-3 - -4). Suppose 1956 = g + 4*g - x*i, -5*g + 4*i = -1953. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 7*b**2 - 2*b + 9. Let r(i) = -31*i + 134. Let w be r(4). Suppose -3*m + 4*g + 16 = m, -m = g - w. Determine d(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -33*f + 2249. What is o(68)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 414, -1850, -4114, -6378, -8642?\nAnswer: -10906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 759*s**3*u**4 + 940*s**3*u**2 + 344*s**2*u**4 + 942*u**2 wrt u?\nAnswer: 18216*s**3*u + 8256*s**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i - 2. Let l be d(-2). Let n(s) = -5*s**3 - s**3 + 4*s - l + 5*s**3 + 3*s**2 - 4. Suppose u - 4*p + 4 = 0, -2*p = u + 7 - 15. Determine n(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 608*a**2 + 168*a - 296. Let d be m(-77). What is d rounded to the nearest 10000?\nAnswer: 3590000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**4 + 2*z**4 - z**4 + (5 + 19 + 36)*(-3*z**4 + 2*z**4 + 3*z**4).\nAnswer: 119*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45 - -39. Let b(m) = -3*m - 14. Let l be b(k). Solve -4*n + i - 13 + 0 = 0, -l*n - 7 = -3*i for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1*(1 + -1))\/((-1)\/1). Suppose 2*x - 16 + q = 0. Solve -5*y - 17 + 5 = -2*j, -2*y + 4*j - x = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**2 + 5*t + 1. Let d = 22 - 26. Let x(w) = -3*w**2 + 6*w + 2. Determine d*p(i) + 3*x(i).\nAnswer: -i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -5*j**2 - 3335835*j - 133425400 = 0.\nAnswer: -667127, -40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + 18. Which is the third smallest value? (a) -2 (b) 1\/5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7776 + -2076. Does 25 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + f - f - 4*f + 4*f + 2*f + (-2 + 2 + 3*f)*(3 - 4 + 3) - 2*f + 3*f + f)*(521*f + 640*f - 425*f).\nAnswer: 8832*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 220 + -cc?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.3776 millennia in decades?\nAnswer: 6537.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 12 = o - 2*z, 0 = -3*o + 3*z. Let t(u) = -u**2 + 3*u - 3 + 3*u**2 + 4. Let l be t(-2). Calculate the greatest common divisor of l and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2486.87 times 0.524\nAnswer: 1303.11988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296070470 is divided by 45.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 8036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 311245 - 311243. Factor -2*u**y + 0 - 1\/4*u.\nAnswer: -u*(8*u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69731940 is divided by 557.\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9370, 9387, 9404, 9421?\nAnswer: 9438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {o: 5, f: 8}.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zposyoyssyyody. What is prob of picking 1 z, 1 p, and 1 o?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 8*w**2 + 6*w + 1. Let p be t(-7). Let x(a) = -a + 12. Let z be x(p). Suppose z*q + 46 = 182. List the prime factors of q.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -190, 29, 4 in ascending order.\nAnswer: -190, 4, 11, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 46\/8) + 440\/(-1760).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 225 and 315?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6065 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -7*s**2 + 761*s + 79568. What is i(174)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 31*v**3 + 9 - 439*v**3.\nAnswer: -408*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**4\/9 - 21232*j**3\/9 + 49514*j**2\/3 - 169712*j\/9 - 339488\/9 = 0 for j.\nAnswer: -1, 4, 10609","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (99\/55 - -20) + -22.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**4\/9 - 16*k**3\/3 - 42*k**2 - 108*k.\nAnswer: -2*k*(k + 6)*(k + 9)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 7*u**2 + u + 16. Let q be p(-7). Calculate the greatest common factor of q and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227331095 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.799922 + -0.8. Round l to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*c**3 - 18*c**3 + 1290 - 1290.\nAnswer: 13*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 22*k + 2. Let z(v) = -560*v**2 + 126*v + 106. Let y(c) = -d(c) + z(c). Let t(b) = 16*b**2 - 3*b - 3. Determine -104*t(s) - 3*y(s).\nAnswer: 13*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4+21179\nAnswer: 21175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a = 3*m + 9*a, 3*a = -4*m - 14 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 146347 to the power of 1\/2, to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 159*a**2 + 346*a - 5036. Determine k(157).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, d: 5}. Give prob of picking 3 w and 1 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 2:03 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 60 + -62?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -6 (c) -1.75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 12 = -2*z, -160 = -2*z - 3*f - 149 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1077, -5, 0.\nAnswer: -1077, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19.5 and -7.8?\nAnswer: -152.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - z + 5. Let o(c) = 109*c**2 - 6*c + 27. Give -5*d(x) + o(x).\nAnswer: 104*x**2 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 35415 + -34125?\nAnswer: 1290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 0.34, 2, -3\/2, -5?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tbbbbbqttqqq. Give prob of picking 4 b.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/12 + 621*d**2 + 2483*d + 7448\/3.\nAnswer: (d + 2)**2*(d + 7448)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d + 2. Let k(b) = -b**2 + 4*b + 12. Let t be k(6). What is n(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 69*q - 309. Determine s(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/21 + (-6)\/63. Which is the third biggest value? (a) t (b) -279 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-32)\/(-72) + (-121)\/(-1287). Let y(s) = s**3 + 6*s**2 + 2. Let a be y(-6). Which is bigger: k or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 0. Let u(l) = l**2 - l - 1. Let j(k) = -5*k**2 + 5*k + 5. Let c(d) = 2*j(d) + 11*u(d). What is c(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h + 2*f + 16, h + 19 + 20 = 3*f + 61 - 26 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -55934 < -55558?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 4*v - 33, 4*b + 4*v = 6 + 18. Let w(j) = -3*j**2 - 2*j**2 - b*j**2. Let f(h) be the third derivative of h**5\/60 - 3*h**2. Determine w(f(u)).\nAnswer: -14*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-2) - 33\/(-6). Solve -3*r = -t*d - 2, -d + 5*r = -4*d - 16 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + t + 23 - 83 = 0, -3*t = -4*c + 44. Suppose -w = -0*w - c. Let j = 306 - 302. Calculate the lowest common multiple of j and w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/3*137\/8768.\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y**2 - 4*y - 3. Calculate m(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/8 of a gram in milligrams?\nAnswer: 7875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 600363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**5\/f)\/f*f*((f*f**(1\/4)\/f*f)\/f)\/f*f*(((f*f**1)\/f)\/f)**(18\/13) assuming f is positive.\nAnswer: f**(17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8024*t + 8025*t - 27 - 34 = 0 for t.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -13*r**4\/24 + r**3\/2 + 10*r**2 - 2. Let a(m) = -3*m. Calculate d(a(o)).\nAnswer: 39*o + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1404823*m + 827083 wrt m.\nAnswer: 1404823","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3863 is divided by 1927.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(1700) - sqrt(1700)) + sqrt(1700))**2 - (-2 + sqrt(17)*2)**2) + -2 + (sqrt(153)\/(sqrt(36)\/(sqrt(16)\/sqrt(4))))**2*4.\nAnswer: -12*sqrt(17) + 1695","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 19 = 4*x + 5, 2*v - 16 = -2*x. What is the nearest to -2 in -2\/15, 79, v, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of f**3\/36 + f**2\/4 - 4*f\/3 + 183. Find c such that j(c) = 0.\nAnswer: -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 4) in base 12?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 3*m**5\/5 - 9037*m**4\/5 + 1955646*m**3 - 4477750066*m**2\/5 + 147423209979*m - 49041636845 = 0.\nAnswer: 1\/3, 485, 1021","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -73, -0.3, -4\/3, 7 in decreasing order.\nAnswer: 7, 2\/5, -0.3, -4\/3, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2991 times -0.04631?\nAnswer: 138.51321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -49158 times 0.514\nAnswer: -25267.212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - -1)\/(-2)*(-10 - -10). Suppose -t + 44 + 20 = z. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 5*i, b - 2*i + 3 + 8 = 0. Put b, 2, -2 in decreasing order.\nAnswer: 2, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/4)\/(5\/30) + -3. Suppose -4*b = -5*r + 31, -5*r + 17*b - 20*b = -3. Factor n - 4\/5*t**4 + 4\/5*t**r + 64\/5*t**2 + 16*t.\nAnswer: -4*t*(t - 5)*(t + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 + 26. Suppose t*z + 2 - 66 = 0. Does 3 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1811442 to the power of 1\/2, to the nearest integer?\nAnswer: 1346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 58 = -4*h. Let a = -14 + h. Which is smaller: a or -4\/11?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88440 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -33, -58, -67, -54, -13, 62?\n\"Answer: w**3 + 2*w**2 - 38*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1691 greater than or equal to -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.66 - -0.3. Let n = t - -0.04. Suppose -319*x - 704 = 891. What is the second biggest value in -8, n, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 11:46 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 540 - 16*l + 69*l - 13*l + 1018 - 23*l - 18*l.\nAnswer: -l + 1558","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05854 rounded to three dps?\nAnswer: 0.059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.07 and 1.912.\nAnswer: 0.13384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, i: 3, z: 4, f: 2}. What is prob of picking 1 f, 1 z, and 2 i?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.51546966 and -158.\nAnswer: -157.48453034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 210.89315129 and -0.084.\nAnswer: 210.80915129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 31 = -5*r, 4*r + 41 = -x - 2*x. Let b = 13 + r. Suppose 24 = 4*y - 4*s, 5*y - 22 + 10 = -4*s. Solve -b*m = 4*g - 0 + 2, 3*m + 6 = -y*g for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/114 and 1128\/756 + (-4)\/(-14)?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = y - 39, -4*y + 2*g + 76 + 100 = 0. Let d = y + -38. Sort 3, -2, -9, d in increasing order.\nAnswer: -9, -2, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19940.6 - 19689. Round j to the nearest ten.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, a: 1, h: 1, k: 4, e: 1}. Give prob of picking 2 k and 1 a.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15152989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2167650363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 537236863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15\/2 + -41\/6. Let y(s) be the first derivative of -s**4 + 0*s**2 + 1 + 0*s + u*s**3. What is the third derivative of y(n) wrt n?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*l - 1 + 3 + 1 - 2.\nAnswer: -79*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-3)*(-117)\/312\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (-9 - -6)) + 0\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 - 3*t**2 + 3*t**2)*(-6*t**3 + 4*t**3 + t**3) - 2*t**5 - 2*t**5 + 6*t**5.\nAnswer: -t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 20, 2*q = 4*q - 5*m - 8. Let b = -3 - q. Suppose -b*h - h = -20. Solve -h*i - 10 = -4*r - 0, 4*i + 8 = -r for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q + 15*q + 15 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 = -v + 5*t, -17814*v - 2 - 31 = -17810*v + 3*t for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 514512.\nAnswer: 2, 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 39 = -3*i, 5*o + 50 = -0*o for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 483.23765 to the nearest ten.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -4*o + 5*b, b + 4*b = 5*o + 40. Let c(r) = r**2 + 8*r + 11. Let g be c(o). Solve -3*q = 2*q - g for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110111101 (base 2) to base 14.\nAnswer: -23b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/20*1265\/(-345))\/((-24)\/20).\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 33198*o - 99678. Determine r(3).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-34724.\nAnswer: -104172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -123*26940.8.\nAnswer: -3313718.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**7*p)\/(p**3\/p)*p\/(p*p**(-5\/6))*p\/((p\/(p**(3\/11)\/p)*p)\/p) assuming p is positive.\nAnswer: p**(403\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 8:26 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-13)*(-3406)\/(-524)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4160 and 130?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 17*q - 5. Let g(z) = -18*z + 4. Let v(s) = 6*g(s) + 5*t(s). Let j(y) = -y. Let n(i) = 4*i. Let h(f) = 18*j(f) + 4*n(f). Determine h(v(x)).\nAnswer: 46*x + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 44, -6, -3, 58, 0 in increasing order.\nAnswer: -6, -3, 0, 2, 44, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2 + 4. Let o be v(0). Solve 2 = o*m + 2*q + 6, -4*m = -2*q + 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 71?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134979?\nAnswer: 3, 13, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -2080718818014 and -4.\nAnswer: -2080718818018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 k when three letters picked without replacement from zkki?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 9, f: 2, m: 2, e: 5}. What is prob of sequence fvme?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -11032 (base 4) to base 16\nAnswer: -14e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -350.990799769.\nAnswer: -350.490799769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + s**2 - s - 10. Let w(p) be the first derivative of -2*p**2 - 22. Let t be w(0). Determine x(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -112\/53 or -1?\nAnswer: -112\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -7 times 9385\nAnswer: -65695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2\/4 - 296631*o\/4 - 148317\/2.\nAnswer: 3*(o - 98878)*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 2*q**2 - q. Let a be r(2). Let y(o) = -5*o - 2. Let h(b) = 4*b + 2. Suppose -6 = 5*p - 3*t, -4*p - 3*t + 3 = -8*t. Give a*y(j) + p*h(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 37.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 12) to base 6.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (225\/(-9) - -22)*7\/((-70)\/(-4))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 225\/4 - 56. Let n = -91492 + 92073.79. Let i = -582 + n. Which is the closest to v? (a) 0 (b) -0.5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 14326.28ml?\nAnswer: 14.32628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -459 times -5\nAnswer: 2295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 238 - 207. Let h(v) = -v**2 + 9*v + 5. What is the remainder when x is divided by h(7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12\/433? (a) -5\/6 (b) 0.3 (c) -4 (d) -4\/9 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 + 0.29. Let u = -0.0999 + 0.3799. Let q = f - u. Put -1, q, -3 in descending order.\nAnswer: q, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-3))\/((-930)\/2232).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3 + 1 + 0*h - 2*h + 3*h. Let q be g(-7). Let v(y) = -y**2 - 4*y - 3. Let n be v(-3). Which is the smallest value? (a) n (b) q (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123206.\nAnswer: 2, 61603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1870848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 306 - -86. Let h = 1515 - u. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92 + 101 = 3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 2, p: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*u = 314857 + 68052. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 + 806*y - 1604.\nAnswer: -2*(y - 401)*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.8 - 0.3. Let v = 11 + -5. Let j = 2 - v. Which is the nearest to 1? (a) i (b) 3\/4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 76*a - 77*a + 20. Suppose -89 - 31 = -3*x. Calculate the highest common divisor of a and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-65536)\/(-3840)*(-9)\/(-48).\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2453795, 2453845, 2453895, 2453945, 2453995, 2454045?\n\"Answer: 50*p + 2453745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 15 = 0, 7*h + 4*j = 2*h - 42. Let i be ((-8)\/h)\/(6\/27). Suppose -2*z - 2*k = -12, i = 2*z + 3*z - k. Solve 0 = z*g - 1 + 5 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-52)\/78)\/(19\/3).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of f**5\/60 + 5*f**4\/24 - 4*f**3\/3 - 6*f**2 - 10. Let r(v) be the second derivative of o(v). List the prime factors of r(-11).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 8, f: 2, w: 3, a: 2}. What is prob of sequence ef?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l. What is the smallest common multiple of (-3 + 3 - 6)\/(-1) and r(-8)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d. Suppose -10*b + 20 = 10*b. Let w(q) = -q. Give b*w(f) - v(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 115 + 94. Suppose 4*t = -2*b - 260, 5*b = -5*t + 2*t - i. Is t\/(-4)*(-1 + 22\/6) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -58 - -58. Suppose -15 = -p - u*p. Suppose -5*f + s = -s - p, -4*s = -5*f + 25. Put 2, f, -13 in decreasing order.\nAnswer: 2, f, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4681 - 4598. Suppose -4*w = -5*g - 183, 3*w + 0*w - 120 = -2*g. What is the remainder when n is divided by w?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4132.4420166198 - 25\nAnswer: 4107.4420166198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8784*d**3*h**3 - 10*d**3*h - 10*d**3 - 14*d**2 - 9 wrt h?\nAnswer: 26352*d**3*h**2 - 10*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29706074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4*n = -16, 2*z - n = n - 6. Suppose 4*b - 184 = 2*h - 0*h, z*b - 3*h = 84. Let r be 236\/16 + 35\/28. What is the highest common divisor of r and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of j**6\/6 + 3*j**5\/4 + 15*j. Factor a(g).\nAnswer: 5*g**3*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15965342?\nAnswer: 2, 7982671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c + 3. Let a(r) = -4. Let z(h) = 6*a(h) + 7*m(h). Calculate the remainder when z(2) is divided by 0 + -1 + 5*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 5 - 5 + (9 + 7 - 2)*(-4 + 3 + 2))*(-4*t**3 + 0*t + 0*t) as h*t + w*t**3 + f + y*t**2 and give w.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 921402.8 hours?\nAnswer: 55284168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1051*q - 145*q + 259*q = -563*q - 225*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 2*j**2 + 0*j)*(4 + 2 - 3)*(2*j - 3*j + 3*j)*(3*j + 0*j + 0*j).\nAnswer: 36*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o + 6*o**3 + 0*o - 1894*o**2.\nAnswer: 6*o**3 - 1894*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/20 + (-38)\/(-8). Solve 0 = -x*o + u + u + 12, o - 4*u - 6 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -117001 (base 10) to base 2.\nAnswer: -11100100100001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 n when two letters picked without replacement from {w: 2, g: 8, e: 5, n: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-26)\/(-4))\/((-4)\/(-8)). Suppose 10*f = d*f - 108. Does 18 divide ((-2)\/6)\/1 + 3900\/f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 11) to base 14\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -17339 less than -34679\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(320) + (sqrt(320) - (sqrt(320) + -2))*-4 + 2*sqrt(320)*5 - (3*sqrt(320) + 2 - -4*(sqrt(320) - (-1*sqrt(320) - sqrt(320))))))**2.\nAnswer: 960*sqrt(5) + 5345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -202 + 202. Let b(o) = -2*o**3 + o + 1. Let n be b(-1). Put 6, k, n in decreasing order.\nAnswer: 6, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qigiug. Give prob of sequence qg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6972 + -6543. What is the greatest common divisor of x and 132?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - d = 359, -621 = 19*w - 24*w - 4*d. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (411314 - 411314 + 198*c)*(-1 + 3 - 3) - 6*c - 9*c + 10*c in the form i + w*c and give w.\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - 14. Let v(p) = 17*p**2 + p. Let g(z) = 49*z**2 - 19*z - 55. Let n(m) = -g(m) + 3*v(m). What is the hundreds digit of n(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/(-66) + (-2)\/(-11). Sort z, 4, -2 in decreasing order.\nAnswer: 4, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 6*w. Let y be -5*(4*4\/(-16) - 1). Let f(x) = y*x + 14*x - 19*x + 9*x + 4*x. Determine f(j(q)).\nAnswer: 108*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - r**4 - 2*r)*((-73*r - 22*r + 42*r)*(-1 + 3 - 4) + 5*r - r - 3*r + (-r + 4*r - 6*r)*(-1 - 4 + 4)).\nAnswer: -110*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -20?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 270 a factor of 1544670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18090357.\nAnswer: 3, 6030119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*(s\/(s**2*s)*s*s)\/s*s)**(-1\/17)*s\/(s*(s**(2\/5)\/s)\/s*s*s*s)*s**8\/s)**(1\/62))**26 assuming s is positive.\nAnswer: s**(6123\/2635)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7663.\nAnswer: 79, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2337928, 4675859, 7013790?\nAnswer: 9351721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*o - 25. Let d = 3 - o. Let h(w) = -3*w**2 - 3. Let l(y) = 2*y**2 + 2. Let x(p) = 5*h(p) + 7*l(p). Determine x(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 6162206?\nAnswer: 6162205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/94, -0.02, -0.1?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011000101001110 (base 2) in base 8?\nAnswer: -130516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 19, 5, -15, -41, -73?\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -805331*w + 805377*w + 1886 for w.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 26\/7 + 12\/42. Suppose -r = a + r - 8, -44 = -4*a + u*r. Calculate the smallest common multiple of a and 15*(-4)\/(-60)*3\/1.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 17668846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 92\/8 - 3\/(-6). Let q = 13 + k. What is the remainder when q is divided by 13 - 0\/((-1)\/1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.12 + 0.02. Let i(a) = 389*a + 1173. Let f be i(-3). What is the second smallest value in f, 0.4, x, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fiiffffifiiii. What is prob of picking 2 i?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3141\/130 + 318\/13. Sort s, -4, 5, 0.\nAnswer: -4, 0, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17776\/9 + 1911. Which is smaller: z or -64?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 11*b - 14. Is 4 a factor of x(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 35\/(-14) - (-2)\/(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 65.7 + -64. Let d = o - 1.724. What is d rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 597 = 499. Suppose 0 = -2*y - 4*z + 8, y + 3*z - 7*z - 10 = 0. What is the remainder when c is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/(-63))\/(((-8586)\/(-252))\/53)*(-69)\/2\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 137 + -4. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/4 and -67\/62.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 167*m**5 - 135*m**2 wrt m?\nAnswer: 10020*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 67453857\nAnswer: -1\/22484619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 34\/5 of a millennium?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -7*l + 179. Let g(k) = 16*k**2 + k + 1. Calculate the lowest common multiple of g(-1) and z(25).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 343895 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28209679?\nAnswer: 28209679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 - x**2 - 34*x**2 - 2*x**2 + 32*x**2 + 3*x**2 - 3.\nAnswer: -2*x**2 - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 850*g - 25474. Calculate m(30).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -s**3 + 2. Let m(o) = -11*o**2 + 17*o. Let c(l) = -2*l**2 + 3*l. Let z(q) = 34*c(q) - 6*m(q). Give z(f(a)).\nAnswer: -18*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 8*z + 8. Let w be n(9). What are the prime factors of (4\/3 - 1)\/(w\/4029)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2576 + -0.0576. Let u(s) = -s**3 + 7*s**2 - 5*s - 4. Let l be u(6). Put -3, w, l in descending order.\nAnswer: l, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/(-15) + 108\/5.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92328 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -0*b. Let i be ((-1080)\/6)\/6*66\/(-5). Let j = -392 + i. Solve -3*y + j*u - 3 = b, 0*u + 9 = 3*u for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.9 - 0.1. Let j = -1.5 - m. Let r = -0.7 - -0.6. Which is the nearest to r? (a) 2\/3 (b) 0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*p + 55*p - x = -24, -2*p - x - 6 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -34, -95, -196, -337?\n\"Answer: -20*r**2 - r - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 164\/706211 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.033 (b) 13 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-2)\/(-9) - (-2688)\/54 and 210?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.068 times -2770\nAnswer: 188.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**2 - 2*c**2 + 1387181*c**3 - c**2 + 1387287*c**3 - 2774478*c**3.\nAnswer: -10*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1784, -14595, 0.3 in ascending order.\nAnswer: -14595, -1784, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dtxtddddxxdxdd. What is prob of picking 2 t?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15082*p*u**2 - 17675969*p - 39*u**3 with respect to u.\nAnswer: 30164*p*u - 117*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3688.018 litres to millilitres.\nAnswer: 3688018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5760161549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -6*(95\/(-10) - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 369248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-2)*78\/(-27))\/((-163)\/((-489)\/(-10)))?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t - 1. Let r(o) = 4*o - 4. What is 5*r(a) - 24*s(a)?\nAnswer: -4*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 641972353?\nAnswer: 11, 211, 276593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 51 + 131 = n, 2*n = 2*t - 44. Suppose -c = -t*c + 800. Does 5 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 0*m = 25. Suppose -2*s + 3 = 3*c, 10 + 11 = 2*s - 3*c. Let p be 1*4*1\/s. Sort 1\/3, p, m in ascending order.\nAnswer: m, 1\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -5*l. Let u = 15 + 10. Let t(m) = u*m**2 - 26*m**2 + 2 - 2. Calculate t(k(i)).\nAnswer: -25*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12069*p**3 + 6031*p**3 - 432*p + 982*p**5 + 6040*p**3 wrt p?\nAnswer: 19640*p**3 + 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -221*d - 178*d + 646*d in the form n*d + h and give n.\nAnswer: 247","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1112)\/(-84) + ((-66)\/11 - 7) and -92\/525.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (32\/48)\/((-4)\/(-6)). Let k be 11\/11*7*l. What is the derivative of 14*x - k*x - 11*x + 4 wrt x?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 take away 0.35613?\nAnswer: -0.27613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12872971 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4057423188 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 734406.57 rounded to the nearest 10000?\nAnswer: 730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**2 - 6*h**4 + h**2 + (11*h**4 + 42 - 42)*(5 - 3 + 0) to s*h + p + c*h**3 + y*h**2 + b*h**4 and give b.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*t**3 - 396*t**2 - 63*t**3 + 397*t**2.\nAnswer: -100*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__collect_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: Let k(t) = -t**3 + 11*t**2 - 70*t + 751. What is k(11)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14 times 19715740?\nAnswer: -2760203.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43540 - 18131. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(((j\/(j\/j**(2\/3))*j*j)\/j)\/j)))**24 assuming j is positive.\nAnswer: j**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b - 92. Give x(-14).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 532 and 1140.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6801973 take away 23?\nAnswer: 6801950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-120)\/1*154\/(-35). Suppose 4*d - i = -24. Calculate the greatest common divisor of 14 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2014 + 2012. Let q be ((0\/5)\/(-4))\/1. Sort o, q, -6.\nAnswer: -6, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18.6 - 117.4. Let d = 136.2 + i. What is the second smallest value in -0.5, d, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + d = -15. Let q(b) = b**3 - 4*b**2 - 7*b. Let t be q(d). Let l(u) = u**2 - 5*u - 15. Let c be l(t). Round c to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -4.876469, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-50)\/48 - 246\/(-656). Which is the nearest to -13? (a) -6 (b) -2 (c) 0 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-5))\/(18\/15)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.81 + -4.91. Let z = 0.074 + 33.926. Which is the smallest value? (a) z (b) y (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-2)*s*s**(-3\/2))\/((s\/((s**4*s)\/s))\/s*s*s**(-1\/3)) assuming s is positive.\nAnswer: s**(35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1536650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 3*b - 479 = -46, 0 = 2*k + 4*b + 176. Suppose 7*l - 3*l + 4*t = -332, -4*l = t + 329. Let h = l - k. Solve c = -h*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2 - g**2 - g - 5 + 3. Let r(l) = -67*l**3 + 2*l**2 + l. Let w be r(-1). Let p be (-2)\/(-5) + w\/(-20). Determine q(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2320881 is divided by 559?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -224 + -12?\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48\/5*q + 44\/5*q**2 + 18\/5 + 2\/5*q**4 + 16\/5*q**3 = 0. Calculate q.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.9444322 - 4.944. Round h to 5 decimal places.\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 11)*(-56*t**4 - 6*t**4 - 2*t**4).\nAnswer: -704*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 3 + (-1 - 4) + (47 - 47) + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 861500?\nAnswer: 2, 5, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 964 is divided by 39?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6667, 26335, 59123, 105037, 164083, 236267, 321595, 420073?\n\"Answer: y**3 + 6554*y**2 - y + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40115242 + 3?\nAnswer: -40115235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 12 = -b. Suppose -4*p = i - 75, b*p = 4*i - 3 + 63. Let m = p + -13. Is 2 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -730, -740, -750, -760?\n\"Answer: -10*t - 720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0*n + 4*n = -122, n + 141 = 4*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of v**5\/30 - 11*v**4\/24 + 17*v**3\/6 - 9*v**2. Let r be n(2). Solve r = 4*s - 5*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/(-44)*20\/(-12)*2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-12)\/20))\/((-10)\/36)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -473881691 + 473881691 + 69*q.\nAnswer: 69*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**2 + k + 20. Let q be r(12). Let a = -159 - q. Suppose 4*x - 397 = -0*x - d, x + d = a. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 102*b**4 + 5*b**3 + 39977*b**2 + 379866790*b.\nAnswer: 1224*b**2 + 30*b + 79954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*z**2 - z**2 + 619*z + 12*z**2.\nAnswer: z**2 + 619*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xlmx when four letters picked without replacement from {m: 2, r: 5, l: 2, x: 4}.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 0.21, 0.09, 3?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20735 + 13519*g**2 + 20735.\nAnswer: 13519*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11669, 11653, 11627, 11591, 11545, 11489, 11423?\nAnswer: 11347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**2 - 100*w - 104 = 0. What is w?\nAnswer: -1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-528)\/48 - (-15)\/(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 < 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-74*(-274)\/126725)?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of 4*u**3\/3 + 7*u**2\/2 - 2*u + 3. Let j(l) = 0*l**2 + 5 - 2 - 6*l**2 - 10*l. Suppose -2*n - 5 = -n. Determine n*j(s) - 7*g(s).\nAnswer: 2*s**2 + s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1368) - -1*sqrt(1368)*1 - sqrt(1368) - sqrt(1368))\/((sqrt(200)*-1 - sqrt(200)) + sqrt(2) + 1*sqrt(2)*6 + sqrt(2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p + 10. Let y be (-1)\/(((-8)\/4)\/14). Let u be b(y). Let m be u\/(-4) + -1 - -4. Put 0, -4, m in increasing order.\nAnswer: -4, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 11339626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 + 20. Which is the third biggest value? (a) -0.1 (b) 0.2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114, -104, -80, -36, 34, 136, 276?\nAnswer: 460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 22 = -90. Suppose q - 21 = -c. Solve -4*s + 18 = 2*x, 4*x + s - 14 = q*s for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4567 + 4562. Sort 0, d, -75 in decreasing order.\nAnswer: 0, d, -75","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(2*x**2 - 3*x**2 - 2*x**2) + 7*x - x - 10*x**2 - 2 + 9*x**2.\nAnswer: -7*x**2 + 6*x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*r - 50*r - 19*r - 400.\nAnswer: 2*r - 400","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4673?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 500951, 1001902, 1502853, 2003804, 2504755, 3005706?\n\"Answer: 500951*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0872 and 9.0232.\nAnswer: 9.1104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7550.19 - 7490. What is z rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 9:15 AM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (13 - 3) - -8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 16. Suppose -i*n = -8*n + 1604. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4.05 or -555262?\nAnswer: -555262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -11*v**2 - 15*v + 59. Let o(j) = 4*j**2 + 5*j - 20. Let n(a) = -8*o(a) - 3*y(a). Let b be n(-8). Suppose 124 = b*u + 5. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 4580110.\nAnswer: -1\/4580110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1448520177?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-10) - (4 - 21\/7)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 12) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 29306682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.97 + -0.03. Let g(l) = 2*l + 6. Let n be g(-4). Let j be (-1 - n) + 32\/(-20). Which is the third smallest value? (a) j (b) d (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24770461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 98840 rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 12*i**2 - 12*i + 16. List the prime factors of w(-10).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -19.47 and 0.00966107.\nAnswer: -19.46033893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 14) in base 2?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, a: 2, f: 2, u: 1}. What is prob of sequence an?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -5*f + 26. Let b(i) = -8. Let u(q) = -2*b(q) + 2*y(q). What is u(7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8a954801 - -4?\nAnswer: 8a954805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (4511*(-1)\/3)\/(3\/(-9)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*a - 6 = -24*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -5*z**3 - 39*z**2 + 6*z + 97. Is s(-16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of 67*c**5\/15 - 43*c**3 - 96*c**2. Let r(k) = 89*k**2 - 86. Let m(o) = -5*a(o) + 16*r(o). What is the derivative of m(q) wrt q?\nAnswer: 168*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -7*w - 3. Let t be (12\/(-5))\/((-33)\/(-110)). Is o(t) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4318 = 5*h, x + 3*h - 3225 = -2*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**16\/a)\/a)\/((a**(-15)\/a)\/a)*a**(-2\/75)*a**(2\/25))**(-2\/33) assuming a is positive.\nAnswer: a**(-4658\/2475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 + 5*g - 5*g + 2*g + (-3*g + 4*g + g)*(2*g - 2 + 2))*(-g + 0 + 0) - 6*g**3 - g**3 + 3*g**3.\nAnswer: -10*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 3*b - 4*b)*(6*b**4 + 20*b**4 + 9*b**4) + (4*b**5 + 2*b**3 - 2*b**3)*(-5 - 2 + 5).\nAnswer: 27*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 520*p. Let r(f) = f**2. Determine r(a(n)).\nAnswer: 270400*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21120 and 137940.\nAnswer: 4414080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45 + 49.6. Let s = h - 5. Let z be (-12)\/7 + 2 + 0. What is the nearest to z in 5, -4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*r - 13. Let y(g) = 4*g**2 - 5*g + 10. Let x be y(-5). Suppose 0 = 4*o - 117 - x. What is the highest common divisor of r and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tqqtttttqttttt. Give prob of sequence qtq.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.9 - -13.9. Let m = -11.2 + w. Is 0.1 > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*z = -3*o - 25, -3*z + 15 = 0. Solve 0 = -o*f + 2*f + 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7982946, -7982962, -7982978, -7982994, -7983010, -7983026?\n\"Answer: -16*u - 7982930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 5 - (12 - (2 + -1))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*y**2 - 3*y**2 - 22*y**2)*(6*y**3 - y**3 - 3*y**3).\nAnswer: -32*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 20*k**2 + 19*k + 3. Let f be q(19). Suppose 8*p - f = 5. What is the closest to p in 2\/9, -7, 5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 143, 144, 145, 146, 147, 148?\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 221991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -191*h. Let b(o) = -810*o + 408*o + 403*o. Determine b(x(d)).\nAnswer: -191*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2469253878 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/4*(-30)\/(-15).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 53 = -4*n. Let q = n + 306. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1053) + -2*-2*sqrt(1053).\nAnswer: 45*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.4 - 1.4000048. What is u rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 + 4*r - 2. Let w(y) = 3*y**2 + 9*y - 4. Calculate 9*o(k) - 4*w(k).\nAnswer: -3*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 = -3*v + 6*n, n + 6 = -8240*v + 8238*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 490256, 490252, 490250, 490250?\n\"Answer: y**2 - 7*y + 490262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12124351030 + -1?\nAnswer: -12124351031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of 1\/12*x**4 + 0*x**2 - 2*x + 0 + 0*x**3. Let w(m) = 2*m**2. Let q(v) = -v**2. Let r(g) = 7*q(g) + 4*w(g). Calculate h(r(i)).\nAnswer: i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (64*t**2 - 629*t + 629*t)*(0*t + 0*t - 2*t + (t + 3*t + 7*t)*(-4 + 3 - 1))*(4 - 2 + 0).\nAnswer: -3072*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4 = 4. Solve -5*t = 3*c + 5, v = -2*t + c + 4*c for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20494.27ml in litres?\nAnswer: 20.49427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -33232300220 (base 4) in base 5?\nAnswer: -2023424223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15434154 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 465273, 930548, 1395823?\n\"Answer: 465275*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -420*y + 432*y - 97476 = 0. List the prime factors of y.\nAnswer: 8123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 44.408 and -13.84.\nAnswer: -614.60672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 22 + -8?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -3722, -3\/8, 5491?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19674, 19671, 19668, 19665, 19662?\nAnswer: 19659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5246966611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/2 and -13 + 2649\/222 + 0.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.1 - -1. Let z = -100.1 + 129. Let y = 19.9 - z. Which is the biggest value? (a) y (b) 2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 64. Is 52 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10b5 (base 15) to base 8\nAnswer: 6731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1284409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1168512 a multiple of 179?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 59*s + 75. Let k be o(-9). Let w be (-2)\/(-4)*k\/(32\/(-8)). What is the greatest common factor of 3 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2. Suppose -12 = -5*a + 8. Suppose -9*l = -a*l. Let n(g) = -g + l*g - g. Determine b(n(y)).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11810 and 226660.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15 and -2.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 350.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 10*q - 1. Let d = 148 + -147. Give l(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16 + (3 - 16\/4). Let n be (3 - (21\/o - -2))*-5. Suppose 167 = n*h + 3*k, 5*k = 4*h - 0*k - 367. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -65 + 123 - 58 + 20*g as l + h*g and give h.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*r - 3*n, 4*n = -r + n. Suppose 4 = -2*p + 2*k, -8 = 3*p - 7*k + r*k. Suppose p = -j + t - 4, -4*t + 24 = -j + 5*j. Which is bigger: -2\/13 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*w**2 + 6 - 3*w**3 + 5*w**3 + 4*w**2 + 4*w**2 to the form l*w**2 + a + n*w**3 + z*w and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-72)\/48)\/(6\/(-8)). What is the third derivative of -56*s**c - 11*s**3 + s**3 + 69*s**2 - 3*s**3 wrt s?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10558.659 or 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 3782264.25 to the nearest 100000.\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -467 - -963\/2. Find the common denominator of z and (-9)\/(-6)*-2 - (-87)\/30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 374, 6, -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - h**2 + 1. Let v(m) = 2*m**3 + m + 1. Let p(b) = q(b) + v(b). Let o be p(0). Solve -k + o*k = 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 1. Let q(n) = 6*n**3 - 4*n**2 - 4. Let s = -184 + 180. Calculate s*p(y) + q(y).\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39556904.000114 - 39556969. Let g = s - -65. What is g rounded to 5 decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 764 = -3549. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x - 11. Is 10 a factor of u(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17039, 34070, 51101, 68132?\nAnswer: 85163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 5:16 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 15*g**2 - 11*g - 16. Let v be i(12). Let b = v + -280. Solve 8*x + 28 = b for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690387 plus -4188?\nAnswer: 686199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w + 2. Suppose v - 6 = 3*m, 2*m = 4*m - v + 5. Let d = m + 4. Let s(r) = 2*r**2 - 5*r + 3. Let t be s(d). Calculate u(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 905 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 - 57 = 52*b + 107 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 66120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**5\/4 - 3*d**4 - 11*d**3\/2 + 32*d**2 - 147*d\/4 + 13.\nAnswer: (d - 13)*(d - 1)**3*(d + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + 3\/(-1 + 2). Let b = -2 + k. Let m = -903 + 907. Solve -m*f + b*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-4*sqrt(133)*2 - sqrt(133)*-2*5))\/((sqrt(560)*3)\/(sqrt(15)\/sqrt(27))).\nAnswer: sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) -371.6 (c) 3\/1469 (d) -2\/11 (e) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1380 + 30361\/22. Let m be 0 + (-1 - (1 - 1)). Which is greater: j or m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319*a = -316*a + 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 7:15 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**2 + 23*z - 5. Calculate j(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 604594252 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 351\/90 + -4 + 0?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29\/4? (a) -1\/6 (b) -1.8 (c) -49 (d) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 8, -0.266, -1\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k - 2*k = 5*k + 7*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/4930 + 1234\/7395. Put g, -2, 0.16, -3 in increasing order.\nAnswer: -3, -2, 0.16, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -1\/6*m**3 + 0 + 0*m**2 - 3*m. Let l(f) = -1. Let w(a) = 2*a**2 - 3. Let s(x) = 3*l(x) - w(x). Give h(s(t)).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = a + 5*d, 0 = 8*d - 5*d + 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204 is divided by (6\/(-9)*(-3894)\/(-44))\/(-1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -2*y + 16, 4*y + 0*m - 17 = -m. Let l = -315 - -451. Let a = l + -136. Solve f + a = -y for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -766, -775, -784, -793, -802?\n\"Answer: -9*o - 757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (6 + (-2 - -4) - 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*h + 13*h + 2*h**3)*(0 + 3 - 1)*(2*h + 1 - 1)*(0 + 5 - 2).\nAnswer: 24*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -612, -1172, -1736, -2304, -2876, -3452, -4032?\nAnswer: -4616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 51*x + x**2 - 51*x. Let d(b) = -5*b**2 - 3*b**2 + 5*b**2 + 6*b**2. Determine n(d(q)).\nAnswer: 9*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -276, -1090, -2446, -4344, -6784, -9766, -13290?\nAnswer: -17356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 8*g + 20. Let j be m(10). Solve 3*t + 12 = y, -2*y = -j*y + 2*t + 16 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 66*x**2 + 281*x - 72. Let z be y(70). Let u be (-12)\/27 + 4\/6. What is the second smallest value in -22, z, u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + 159\/(-15) + 2. Suppose 14*y = -22*y - 216. Are y and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.90755 micrometers in centimeters?\nAnswer: 0.007990755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1342*c**4 - 21958*c**4 + 6037*c**4 + 1587 wrt c.\nAnswer: -58316*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 296*u**2 + 2809*u + 1298. Give k(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 37, -5 in descending order.\nAnswer: 37, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -31.122\nAnswer: 155.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -56, -3, -4, 3, -6, -1, -203 in ascending order.\nAnswer: -203, -56, -6, -4, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138166 is divided by 159.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -163 - -2122\/13. Let w = z - 22\/39. Which is the second biggest value? (a) w (b) -0.03 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 1481*p - 2302. Is x(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 107731 - -8?\nAnswer: 107739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.1 - -0.1. Suppose -9*q - 2 = -11*q. What is the nearest to q in 6, 0.3, f?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 2\/9 (b) 0.2 (c) 2 (d) 2\/93\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 - 21. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 457775235 to the nearest integer?\nAnswer: 771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/156920 and 33\/804215.\nAnswer: 6433720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -137, -1319, -4631, -11147, -21941, -38087, -60659, -90731?\nAnswer: -129377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 6*m**2 + 8*m + 8. Let u(f) = 5*f**2 + 7*f + 7. Let z(r) = 4*d(r) - 5*u(r). Calculate z(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*u**2 - 1097*u + 1097*u)*(u - u - u**3).\nAnswer: -9*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000095507038 to 7 dps.\nAnswer: 0.0000955","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l + 7. Determine u(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-3) - 8\/(-3). Suppose 0 = -s + 5*s - 8. Let p(b) = -1 - s + 26*b - 21*b. Calculate p(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*p + 88*p = 174 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3*h - 76 = 5*l, -4*h + 96 = 4*l. Let x = h + -1. Does 7 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*a**2*g*r**3 + 9*a**2*g*r + 9*a*g*r**3 - 2*a*r**3 - 5*a + r**3 wrt a?\nAnswer: -32*g*r**3 + 18*g*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + t + 2*t)*(1 - 4 + 5) - 23*t + 21 + 17 - 40.\nAnswer: -19*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-17))\/(m\/(m\/m**(-19)))*m*(m**(-4\/13)\/m)\/m*m**(2\/9))**30 assuming m is positive.\nAnswer: m**(2240\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*2\/(-3) - -5. Let r(z) = 3*z - 4. Suppose 1687*s = 1695*s - 24. What is the smallest common multiple of s and r(t)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*j - 896 = -o, 5 = -o. What are the prime factors of j?\nAnswer: 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 7 - 8)*(9*z**2 - 5*z**2 - 6*z**2 + 4*z) - z**2 - 3*z + 3*z as t*z + w + d*z**2 and give d.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - 0.39\nAnswer: -0.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 4*8\/18?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2. Let u(o) = 4*o + 3. Let q(n) = 5*n + 4. Suppose 17 = 5*x + 2. Let y(c) = x*q(c) - 4*u(c). Give b(y(l)).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3573266 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -130*f - 18. Let g(l) = 45*l + 6. Give -17*g(z) - 6*t(z).\nAnswer: 15*z + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = 4*k - 12, -14*k + 15*k + 5*f - 19 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*r - 525 + 435 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -t**6\/30 + 77*t**5\/10 + 989*t**2\/2 - 2661*t. Differentiate g(p) wrt p.\nAnswer: -4*p**3 + 462*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1219 + 3592\/3. Find the common denominator of ((-666250)\/5100)\/205 - (-7)\/6 and f.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yxyxyggyyggxyxgyyu. Give prob of picking 2 y.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/3 - 10*a**3\/3 + 11*a**2 - 40*a\/3 + 16\/3.\nAnswer: (a - 4)**2*(a - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 36*a + 301 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20606 is divided by 6777.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 537, -2\/15, 0, 3, 0.4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 3*n**2 - n - 1. Let k(b) = -4*b**3 + b**2 + b + 4. Let i(w) = -2*k(w) - 4*p(w). Factor i(y).\nAnswer: 2*(y + 1)*(y + 2)*(2*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 12:00 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/1*(-6)\/(60\/(-25)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 106711?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -14. Let d(g) = g - g - g + f. Let o(m) = -7*m. Let y(p) = -3*p. Let c(t) = 4*o(t) - 9*y(t). Calculate d(c(x)).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11364*n - 16118*n - 608512 for n.\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 10*c**2 - 3*c - 1. Give d(-2).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1524305049.\nAnswer: 3, 508101683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 4 = 7*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 235561951 rounded to the nearest ten thousand?\nAnswer: 235560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 5*a**4 - 63*a**3 - 4*a + 56. Let g(m) = 6*m**4 - 63*m**3 - 5*m + 57. Let j(u) = 4*g(u) - 5*t(u). Differentiate j(l) wrt l.\nAnswer: -4*l**3 + 189*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2871127392802\/17935985265 - 12703914\/77149. Let j = n - 1\/42270. Calculate the common denominator of -35\/6 and j.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 4*g - 2*g. Suppose -1092 = 4*t - f, -9*t - 252 = -8*t + 5*f. Let h = 392 + t. Calculate the highest common factor of h and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*c = 26*c + 1620. Does 36 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/27398 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 25*r + 68. Let d = -358 - -336. Let p be g(d). Let k(a) = -a - 4. Let i(t) = -t - 5. Give p*i(u) - 3*k(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1145227, -2290169, -3435101, -4580017, -5724911, -6869777, -8014609?\nAnswer: -9159401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.81215 - 2830040?\nAnswer: -2830041.81215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 h when two letters picked without replacement from {y: 9, z: 1, g: 2, h: 2}.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o**2 - 12*o**2 + 2*o**2 + 7*o**2.\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1316*i = 1200*i + 348. Let x(h) be the third derivative of 0*h + 2\/3*h**4 + 0 + 30*h**2 + 3*h**i. Differentiate x(c) wrt c.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 5*m + 4*m)*(44 - 44*m - 44)*(20*m - m + 2*m) - m**3 + 0*m**3 + 0*m**3.\nAnswer: -1849*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4772, 4588, 4366, 4106, 3808, 3472?\nAnswer: 3098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 5*g**2 + 13*g - 4. Let b be u(-7). Let o be (10\/3)\/((-12)\/(-18)). Suppose 4*t - b*h - 2543 = -2*h, o*t - 5*h - 3190 = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 + -143?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2840 rounded to the nearest 100?\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 64*m**2 + 20*m - 14. Let o(k) = 13*k**2 + 4*k - 3. Determine 14*o(c) - 3*p(c).\nAnswer: -10*c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 3 = 21. Let g be -6 + y - 3*-1. Suppose 4*f = -5*q + 7, 4*q - g*q + 5 = 0. Is 8 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of z**6\/120 + 17*z**3\/3 + 10. Let i(x) be the third derivative of t(x). Let a(r) = -6*r**2. What is i(a(j))?\nAnswer: 108*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37519 is divided by 16608?\nAnswer: 4303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-479)\/(-9580))\/((-2)\/8).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1872) - (-5 + 2*sqrt(1872))) + -2.\nAnswer: -7 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-155)\/(-62)*(-2 - (-3 - 1)). Let j = 3 + 1. Let a = j + 28. Solve 2*z + 0*z - 7 = -v*d, 0 = 4*d - 5*z - a for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 2*p**3 - 22. Let k(r) = -16*r**2. Calculate h(k(z)).\nAnswer: 1536*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2496 is divided by 2446?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*t - 2. Suppose -18 = t*i - 5*i. Calculate the lowest common multiple of 2 and (2\/i)\/(1\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/1468284 and -41\/244714.\nAnswer: 1468284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 4*w - 345 = 0, z + w - 6*w = 48. What is the tens digit of (-1 - (2 - 2)) + z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203358*h + 172729*h + 97089*h + 60431*h.\nAnswer: 533607*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 y when three letters picked without replacement from yyoyowyoyoo.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 135613, -0.3, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from zzzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 52 + 467 = -3*t, 4*t = 5*q - 870. Is 14 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 2:31 PM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/2)\/(513\/(-3420))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t + 1. Suppose -4*o + o = -6. Let k be r(o). Suppose 0 = -k*c + 4 - 1. What is the highest common divisor of c and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -57, -32, 33, 150?\nAnswer: 331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-4)\/108*(-84)\/(-420).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15\/658 in 2\/5, 0, -2, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-12))\/(12\/(-8)). Is -1 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) - ((sqrt(2299) - 1*sqrt(2299)) + 0) - (-4 + sqrt(2299) + 1)) + (sqrt(2299) + sqrt(2299)*1 + 5)**2 + sqrt(2299) + -4.\nAnswer: 231*sqrt(19) + 9220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 430 divide 8504920955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 8*f**2 + 3*f - 5. Let k(i) = 2*i**3 - 11*i**2 + 6*i - 12. Let u be ((-75)\/9)\/(-5)*3. Let m be k(u). What is the units digit of r(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/54)\/(((-1)\/(-4))\/1)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 3) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15\/60 + 0\/1. Suppose -10*g - 1361 = -1381. Factor 0 - 1\/2*t + n*t**g.\nAnswer: t*(t - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 - 27. Sort y, 1, 0 in ascending order.\nAnswer: y, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**4\/5 + 6*j**3\/5 - 39*j**2\/5 - 42*j\/5 + 72\/5 = 0. Calculate j.\nAnswer: -4, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 c when three letters picked without replacement from eqixiliiiicexil?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -9*s - 1. Let b(z) = -2064*z + 1777. Let j(c) = -b(c) + 6*y(c). What is the derivative of j(p) wrt p?\nAnswer: 2010","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i**(-1\/4)*i)*i\/(i**(-2\/9)\/i)*i**10\/(i\/((i\/i**(-4))\/i*i)) assuming i is positive.\nAnswer: i**(593\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -800+-28817583\nAnswer: -28818383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20)\/8 + 1\/(-2). Which is the biggest value? (a) 33 (b) -2\/7 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.438 * 0.2\nAnswer: -0.6876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -70\/11 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and -2.573?\nAnswer: 2.873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45349 + 136575 + n**2 - n**2 + 56*n**3 - 45610 - 45614.\nAnswer: 56*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-480)\/(-50) + -13 - -5\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*o + 20 = 108*o - 365. Suppose 2*p - 2*m = 6 + 2, -3*p - m - 4 = 0. Let r(w) = -w + 4. Let j be r(p). Solve a - 3*u = j, -3*u - 13 - 3 = o*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 699943709 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (380\/(-16))\/(-19) + 69\/(-4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -59 - -106. Suppose 0 = -5*n + 40 - 14 + 909. What is the remainder when n is divided by z?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3786635 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 456031*a*u**4 - 2*a*u + 50563*u wrt u.\nAnswer: 5472372*a*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.01 (b) 79.4 (c) 5\/3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 8. What is the second derivative of -y**5 + y - p*y**5 + 2*y**5 wrt y?\nAnswer: -60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-473*r + 473*r + 26*r**3)*(29*r**2 + 5 - 5) + (2*r**2 + r**2 - r**2)*(2*r**3 + r**3 - r**3).\nAnswer: 758*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 102304302100?\nAnswer: 102304302041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((y + 3*y - 3*y)*(0 + 0 + 2) - 4*y - y + 4*y)*(-2*y**4 + 228*y**2 - 2 - 228*y**2).\nAnswer: -2*y**5 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4*h + 7 = -3, -3*w + 29 = 5*h. Solve 2*d = -w - 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3260 and 14675.\nAnswer: 9568100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/160 and -127\/11550?\nAnswer: 184800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 61 = 3*a. Let n = 32 + a. Suppose -1 - n = -5*k. Solve 0*p = -k*u + 4*p + 20, 0 = 5*p + 25 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12320 divided by -11.\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 r when three letters picked without replacement from ppprpoo?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -4 (c) 6.316 (d) -76 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-785)\/(-471)*((-28)\/(-10))\/2.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -10\/11, 1\/1190, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24675 and 54075.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0357469 to 3 decimal places.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 55*m**2 + 296*m - 242. Let j be i(-60). Let d(w) = -w**2 + 4*w - 1. Let o be d(3). Put o, 5, j in increasing order.\nAnswer: j, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*a = -18 + 151 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -35803, -72275, -108747?\n\"Answer: -36472*x + 669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*b + 5021 - 16158 - 4607. What is the greatest common factor of b and 574?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 20. Let v = o + -21. Let l = 1 - 0.9. Which is the second smallest value? (a) v (b) 0.4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**3 - 276*y**2 + 25392*y - 778688 = 0.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*j + 122 = 2*j, 0 = 3*y - 2*j - 352. Suppose -24*z = -28*z + y. Calculate the remainder when 57 is divided by z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.19361 - 1.80639. Let m = 3.5 - 3. Which is the nearest to 0? (a) -4 (b) z (c) -0.4 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 17*y**2 - 3. Let w(h) = -h**3 + 69*h**2 - 11. What is -9*k(q) + 2*w(q)?\nAnswer: -2*q**3 - 15*q**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrgtrtrvg. What is prob of sequence trr?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6 + 11 - 9) + 6 + 2. Solve -5*f = -10, 0 = 5*n - k*f + 8 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9823 + 9920. Solve 25 = r*l - 92*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 2*i - 2*i)*(12*i - 3*i - 6*i) - 2*i + 2*i - 2*i**2 + i**2 + i**2 + i**2.\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22361.\nAnswer: 59, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 186623*d + 20262.\nAnswer: 186623","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0\/(-3))\/(-11 - -14))\/(-1*2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7551232 smaller than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -d**4\/12 - d**3\/6 + 11*d**2 + d + 211. Let x be 10\/(-15) + (-2)\/(-3). Determine q(x).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 6 = -3*d. Suppose -3*x - w = w + 12, -3*w + 3 = x. Let r = d - x. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) - (sqrt(384) + (sqrt(384) - sqrt(384)*1))\/sqrt(12)) + (sqrt(1600) + 3*sqrt(1600) + sqrt(1600))\/sqrt(8).\nAnswer: 50*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 + 2*z - 1.\nAnswer: -(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 2. Let v be -2 + (-2 - -1) - (1 + -4). What is i(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 0\/((-8)\/20*-5) + 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3a34 (base 16) to base 5\nAnswer: 434100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 + 375 = -44*o. Sort 2, o, 213 in decreasing order.\nAnswer: 213, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 6:45 PM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g - 3. Let f be x(-6). Let z be (1\/f)\/((-1)\/3). Let q = 929\/4 + -233. Which is the nearest to z? (a) q (b) -4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-2)*(3 - 3). Let s be (-1)\/(-9)*12\/(-10). Let g be (-214)\/(-66) - (450\/(-110) + 4). What is the nearest to d in g, s, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 327174209.\nAnswer: 167, 269, 7283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -411213411 (base 5) to base 4\nAnswer: -12112021312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 8*y**2 - 6*y - 6. Let r be a(7). Let o = 0 - r. What is the tens digit of 1\/(-3*o\/45)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 836\/(-32) + (-15 - -38)\/184\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -o + 144. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m**2 - 1. Let a(p) = -7*p**2 - 6*p + 3. Let l(i) = 7*i**2 + 5*i - 2. Let c(r) = -4*a(r) - 5*l(r). Calculate -2*c(v) + 5*u(v).\nAnswer: -v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - p = -14, 0 = -c - 0*p - 2*p + 7. Suppose -46 = i - c*i. Let k be -7 + -2 + 16 + 0 + 39. What is the highest common factor of k and i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 3*p + 12. Let m be (7\/14)\/((-14)\/16). Put m, 3, p in increasing order.\nAnswer: p, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q - 2*q + 6*q - 3 - 2*q. Let h be ((-3)\/1)\/(-3) + -1. Determine z(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + c + 279 = -4*k, 5*k + 2*c = -348. Let n be (1 + (0 - 0))*k\/(-245). What is the closest to -14 in 5, n, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (126\/(-9))\/(-42)*-57.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n + 12. Let b be h(9). Let w(m) = -2*m - 2. Let v be 108\/(-14) - 4\/14. Let g = v + 4. Let j(s) = -2*s - 2. Determine b*w(o) + g*j(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 308 and 1988?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i - 84 + 12 + 42 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 224 (base 6) to base 10\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1929490984 to the power of 1\/3, to the nearest integer?\nAnswer: 1245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 12:00 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7914*r - 3921*r - 3956*r + 925 = 0 for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 1 = 5. Suppose -p = w*q - 1, 0*p - 1 = -p + q. Calculate the highest common divisor of 1 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -8*o - 7. Let w(q) = -7*q - 6. Let i(v) = -5*t(v) + 6*w(v). Suppose 6 = 3*h - 0*h. What is i(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1118\/234 - 2\/(-9). Suppose 2*k - 4 = 0, 0 = -s*j - 2*k - k + 31. Suppose 0 = -4*c + 5*o - 4*o + 91, -j*o = -4*c + 87. List the prime factors of c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 41\/2 of a decade?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6852 + -6840. Which is smaller: 272\/23 or g?\nAnswer: 272\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and 24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 24*c**2 - 521*c + 9844. Give z(21).\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y - 1. Let o be a(-11). Let g = -24 - o. Let q be ((-8)\/10)\/(2\/(-10)). Sort q, 3, g.\nAnswer: g, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*s**2 + 35*s**2 + 32*s**2 - 18*s**2.\nAnswer: 74*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10\/15)\/((-38 - -38) + 2\/(-3)). Which is the fourth biggest value? (a) 0 (b) -0.4 (c) -82 (d) -4 (e) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -417.37 - -414. Let c = 1.17 + w. What is c rounded to one decimal place?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**2 + 4. What is the remainder when v(-6) is divided by 30?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**2. Let p(g) = -4491*g - 2. Determine s(p(k)).\nAnswer: -40338162*k**2 - 35928*k - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1546542 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13\/6 + 5\/2. Let k = -0.8 + 0.5. Let n be 224\/128 + (-5)\/(-20) + 0. Which is the nearest to 1? (a) n (b) v (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -826602 divided by 6.\nAnswer: -137767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*3*(-37)\/2. Suppose 167889 = -6*w - u. What is w rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51.1 - 51.1. What is the nearest to 3 in 2, 2.4, r?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*y - 3375 = -6*y + 95*y for y.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 1.03\nAnswer: 5.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 - -22. Let d(v) = -v**2 + 3*v**2 + 13 - v**2 - 217*v + 214*v. Calculate the remainder when 76 is divided by d(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40590.57 millennia in decades?\nAnswer: 4059057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**3 - 3*p + 3*p)*(-1 + 1 + 1) + 36 - 36 - p**2 - 35*p**3.\nAnswer: -37*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3984 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9716 + 13011. Is g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12318475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 52568 or 0.11?\nAnswer: 52568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/17 (b) 0.67 (c) 2.425 (d) 0.4 (e) -1\/8 (f) 3\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 6*s**2 + s - 2. Let g be d(6). Let y = 76.637 + -75.637. What is the nearest to 1 in -0.1, g, y, -6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b**2 + b + 108. Let w be l(0). What is the tens digit of ((-867)\/2 + -1)\/((-54)\/w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -72*l**6*z + 5*l**4*z + 5*l**2 - 3*l*z - 68 wrt l.\nAnswer: -8640*l**3*z + 120*l*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v**3 + v**2 + 3*v + 13. Let z(b) = b**3 + b. Let d(k) = g(k) - 3*z(k). List the prime factors of d(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 12:38 PM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -452*r - 408*r + 910*r + 800 = 0 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 8:07 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 843 and 8236008?\nAnswer: 2314318248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(2*c - 12*c - c) + (-1 + 1 - 2)*(13*c + 15*c - 12*c).\nAnswer: -43*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 284 by 126.\nAnswer: 142\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 490 is divided by 161.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -721.72 to the nearest 10.\nAnswer: -720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -31*r - 10. Let h(x) = 22*x + 6. Let p(b) = -5*a(b) - 7*h(b). Determine p(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14365 + 17655. What is the highest common divisor of h and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n - 3. Let a(x) = -2*x - 10. Let b(p) = 4*a(p) - 14*d(p). What is the units digit of b(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 26198970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -5*h + 1714 + 283, -4*x = -h + 413. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 8221.94ng?\nAnswer: 0.00000000000822194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -148*t + 6. Let a be s(-6). Suppose -a = -3*v - 3*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 y when two letters picked without replacement from {c: 2, h: 2, y: 4, i: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)*-3*5 - (sqrt(170) + 4*(sqrt(170) - (1*sqrt(170) + sqrt(170)))))\/((-4*sqrt(540))\/(1*sqrt(216) + sqrt(216))).\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*p - 15*p. Which is the closest to 5? (a) -3\/2 (b) p (c) -0.5 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 10. Suppose -j - u + 26 = 0, -h*j + 2*j + 52 = -2*u. Is 13 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -965125 at most as big as -965125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.2224184 + 2\nAnswer: 1.7775816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * 7213.\nAnswer: 57704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -11*r**7\/21 - 2*r**3 - 33*r. What is the second derivative of m(w) wrt w?\nAnswer: -440*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1544\/13 + -35514\/299. Suppose -3*g - 6 = -4*m - 24, -2*m - 8 = -g. Suppose g*d + d = 3*j + 9, -7 = d + 4*j. Are d and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -s**5\/10 - s**4\/3 + s**3\/2 - 2*s**2 - s. Let l be k(-3). What is the greatest common factor of 5 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 m when two letters picked without replacement from {c: 5, i: 11, b: 1, m: 2}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -30186598, -30186592, -30186586, -30186580?\n\"Answer: 6*d - 30186604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13.2806 * -0.002.\nAnswer: 0.0265612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -21\/10*f**5 + 27*f**2 + 0 + 0*f**4 - 7*f + 0*f**3. What is the first derivative of p(d) wrt d?\nAnswer: -126*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24*g**4 - 37 - 71*g**3 + 35*g**3 + 36*g**3 with respect to g.\nAnswer: 96*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15226 - -15259. Calculate the remainder when q is divided by 9 + 2\/1 - 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**2 - 2*u - 2. Let g be o(-3). Let z be (-4)\/6*11\/g. Let q be ((-3)\/15)\/(8\/(-10)). Which is the third smallest value? (a) 0.4 (b) q (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -1)\/((-3)\/18*-6). Solve o = -4*b - 2*g - 6 - 0, 2*b - 4*g = 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -62.4102 - -0.0102. Let k = h + 62.39517. Round k to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 133 and 209.\nAnswer: 1463","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v. Let n(s) = 1253827 - 1253827 - 857*s**2. Give a(n(i)).\nAnswer: -857*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4*z + 189 = 3*v, 3*z + 189 = 3*v. Calculate the highest common divisor of 7 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q + 4 - 4*q + q**2 + 0*q + 0*q**2. Let i be h(9). Let r = i + -7. Solve -6*o = -3*o - r for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*b**5 + 2*b**4 - b + 1 wrt b?\nAnswer: 400*b**3 + 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 2. Let m = 1 - z. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, 54, -2.9, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of 29*m**3\/6 + 15*m**2 - m + 4. What is the hundreds digit of y(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 12:34 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 672, 1398, 2112, 2814?\nAnswer: 3504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2625742 at least as big as -2625737?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (69\/1242)\/(-4*(-21)\/(-336))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3800229 or -41802504\/11?\nAnswer: -41802504\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-78)\/(-260) + (-2017)\/(-10). Is r < 209?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 787.3167 millilitres to litres.\nAnswer: 0.7873167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -5*o + 146. Let a(l) = 11*l - 334. Let u(d) = -4*a(d) - 9*x(d). Determine u(13).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**5\/4 - 129*b**4\/4 - 789*b**3 + 391*b**2 + 10020*b + 12672 = 0.\nAnswer: -96, -33, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 528443 = 49*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 3*x - 2*x = -13, 17 = 4*r - 5*x. List the prime factors of (-1)\/2 - 49\/r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a meter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 7*i = -2*i + 13, 2*m - 8*i + 3*i = -1 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2.7 or 129989?\nAnswer: 129989","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of 3\/2*d**2 + 0*d + 1\/6*d**4 + 0*d**3 - 3. Let a(g) be the second derivative of u(g). Let h(z) = -z. Determine h(a(s)).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 41547593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + y**2 + 1. Let o(q) = -30*q**3 + 15*q**2 + 15. Calculate 15*d(v) - o(v).\nAnswer: 45*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 119362 and 15984.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 2*x**2 - x + 2. Let q be v(0). Let r be q\/4*0*3\/6. Let k = -72 + 287\/4. Which is the second biggest value? (a) 5 (b) r (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 82?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 19*q**2 + 15*q + 5. Let i(u) = 6*u + 13. Let j be i(-3). Let s(z) = 10*z**2 + 8*z + 3. Let g(w) = j*s(w) + 3*f(w). Let m(b) = -b. Calculate m(g(p)).\nAnswer: -7*p**2 - 5*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 3*j**2 - 4*j - 3. Let d be o(-4). Which is the closest to 2\/5? (a) 0.5 (b) d (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 254999 - 50459 = 6*l. What is the ten thousands digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (8 + -2) - (-46 + 40)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 469, 474, 487, 514, 561, 634, 739, 882?\nAnswer: 1069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 6) to base 15.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64428 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92095.76cm to nanometers.\nAnswer: 920957600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 - 27. Let l = c + 85. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 17*m + 134. Let c(u) = -8*u**3 + 6*u**2 - 7. Let r(k) = -15*k**3 + 11*k**2 - 13. Give m*r(l) + 11*c(l).\nAnswer: 2*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -5*r + 1 + 26, -r + 6 = z. Solve b = r*s - 2 - 8, -4*b + 5 = -3*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 1010101111100000?\nAnswer: 1010101111011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2716 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h + 8. Let q be x(-4). Suppose -2*p - 132 - 88 = q. Let c = 164 + p. Does 27 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 9:15 PM?\nAnswer: 638","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 46*h**2 + 110*h**2 + (14*h - 43*h + 52*h)*(4*h - 4*h + 3*h) + (0*h**2 - 2*h**2 + 4*h**2)*(-1 + 1 - 1).\nAnswer: 223*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 97679 divided by 1007\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**5 - m**4\/4 + m**3 + m**2\/4 = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*t - 2483 = 32*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(2\/7))\/l)**(-31\/2)*(l\/(l\/l**(-1))*l*l)**(24\/5))\/((l\/(l\/(l**(-6)*l)))\/(l**2\/l))**(-29) assuming l is positive.\nAnswer: l**(-5767\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/40 and -69\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 527709778 to the nearest integer?\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 3:11 PM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 720 + -784 + (6 - -1)\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1416479 is divided by 21.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004161 to four dps.\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of i*m**3 - i*m**2 - i + 109*m**3 - 290 wrt m?\nAnswer: 3*i*m**2 - 2*i*m + 327*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 11*u. Let g = 36 + -26. What are the prime factors of p(g)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10310 (base 4) to base 10.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 340523.\nAnswer: 229, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g + 352 = 346 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 74 - -124. Let p = -1 - 9. What is the remainder when 26 is divided by (-4)\/p - l\/(-30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -557509509*m**3 + 228087378*m**2 wrt m.\nAnswer: -3345057054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9040082 and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*k - 409*k = -188*k - 3458 for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3864965355 to the nearest integer?\nAnswer: 1569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.009 + -5.191. Let l = -5 - d. Which is the closest to l? (a) -3 (b) 2\/7 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmb when four letters picked without replacement from lilibmimvmcbl.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 107*m**2 + 2753*m + 25. What is v(-43)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 570 + -571. Let y(f) = -5*f**4 - 11*f**3 - 6*f**2 - 2*f - 2. Let m(t) = -t**4 - t**3 - t - 1. Let r(u) = v*y(u) + 2*m(u). Find c such that r(c) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -3*s + 89, -6*s + s + 27 = 2*f. Let q be 6\/39 - 4\/f. Suppose q = r + r - 74. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of 2*i - 1\/3*i**3 - 182 + 0*i**2. Let x(n) = -137*n + 3. Calculate j(x(h)).\nAnswer: 274*h - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 5*x + 20. Does 17 divide k(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/33, -5, -1337?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 46687248\nAnswer: -1\/11671812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142 + 84 = -3*k - 148 for k.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 g, and 1 a when three letters picked without replacement from {g: 3, s: 5, a: 1, f: 4}?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -20, -5\/2, 3.6.\nAnswer: -20, -5\/2, -0.3, 3.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02243782 rounded to three dps?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-32))\/((-3)\/(48\/5)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccps when four letters picked without replacement from cspybbeybpcysc.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 14. Let r = 309 - 307. Suppose 3*p - s - 132 = 80, s = -r*p + 133. What is the remainder when p is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27394*b**2 + 50*b**3 + 27394*b**2.\nAnswer: 50*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**2 - 148*s - 313. Calculate t(76).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -260034629.77414 + 260037660. Let m = d - 3048.2258541. Let f = 18 + m. What is f rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 71*f + f**2 - 67*f - 4*f**2 to the form o*f**2 + x*f + d and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22020100211 + -1?\nAnswer: 22020100210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 + 6)*(-d - 3*d - d).\nAnswer: -30*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ukook. What is prob of sequence ku?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7847425 divided by 5.\nAnswer: 1569485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j**2\/6 - 22765*j\/3 - 103649045\/6 = 0 for j.\nAnswer: -4553","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 595 and 6581295?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5390 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((13 - 33) + 38 - 7) + (-4 - -45)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {j: 2, t: 1, p: 1, h: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 6*i - 2. Let u(x) = x. Let m(g) = o(g) - 5*u(g). Calculate the remainder when m(10) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3198020 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b - 277. Let m(f) = 2*f**2. Give n(m(l)).\nAnswer: -4*l**2 - 277","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -74 - -73. Let o = 0.9 - -7.1. Let m = -8.3 + o. Which is the nearest to f? (a) -3 (b) m (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-11)\/(-5) - (-8)\/10. Solve 4*c + u*y - 5*y = -16, 0 = 4*c - 4*y + 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*w**2 - 4*w**2 + 41*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.4 + -1.1. Let j = -3.9178 - 0.0822. Put 0.5, j, v, 3 in ascending order.\nAnswer: j, v, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56\/(-10)*(-50835)\/(-27112)\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 11) to base 12.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 12:47 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 105 = 3*z, -3*o = -0*z + z - 39. Let u = z - 12. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h + 20. Let d be a(-10). Suppose u = -2*p + 5*u + 92, d = p - 3*u - 50. What is the highest common divisor of p and 266?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17523 and 87615?\nAnswer: 87615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (80\/160)\/((3 - 4)*-1*4\/(-200))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*h - 54 - 75 = -24. Sort -12, h, 4, 0 in ascending order.\nAnswer: -12, h, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ow when two letters picked without replacement from {f: 4, o: 3, w: 5, k: 1, l: 1}.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 4:12 AM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*b**2*g**2 - 39*b*g - 248*g**2 wrt b?\nAnswer: 4*b*g**2 - 39*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54325, -55024, -56197, -57850, -59989, -62620, -65749, -69382?\nAnswer: -73525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*k + 54*k + 11*k + 44 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -2\/33, 2\/7.\nAnswer: -2\/33, 2\/7, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3805ca (base 13) to base 15\nAnswer: -1b8088","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 4*r - 1. Let h be d(-1). Sort 5, h, -6.\nAnswer: -6, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = b + 4*m, 2*b + m = -37 + 94. What is the remainder when 61 is divided by b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 4*p**5 - 7*p**4 - 14*p**3 - 3*p**2 = 0?\nAnswer: -1, -1\/4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 9*n**2 + 5*n + 150. Let c(y) = -11*y**2 - 6*y - 150. Calculate -5*c(o) - 6*s(o).\nAnswer: o**2 - 150","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q + 5. Calculate the smallest common multiple of 22 and m(-17).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/3)\/(-20 + 10).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2690330 > -2690324?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z**2 + 4*z + z - 5*z.\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 993468?\nAnswer: 2, 3, 7, 11827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/1800 + (-10191)\/(-38700).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/551 > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -u**3\/2 + u**2 - 8*u. Let w be y(2). Let f(b) = b**3 + 3*b**2 - 6*b - 3. Calculate f(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129154 < 129151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/824 and -37\/60.\nAnswer: 12360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -149*c**4 - 1347344*c**3 + 889717635 wrt c?\nAnswer: -596*c**3 - 4042032*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 9, g: 1, f: 9}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.3301*-6\nAnswer: 1.9806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 4*f - 3076, 4*q - 2*f - 1955 = 485. Calculate the lowest common multiple of 954 and q.\nAnswer: 32436","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - t + 4 + 1 - t.\nAnswer: -2*t + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -662727.\nAnswer: 2650908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*o + 5*n - 45, 4*o - 5*n + 21 + 10 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) 8 (b) 2 (c) 312\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2 - 5*c + 2 - 1 + 12*c. Determine r(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - (0 + -3 - 0). Let c = p - -5. Let m = c - 1. Solve m*a + 2 = 5*g, -4 - 2 = -3*g + 4*a for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1905*j**4 - 17*j**3 - 3*j**2 - 4*j + 6187794 with respect to j.\nAnswer: -7620*j**3 - 51*j**2 - 6*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28895 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -2. Let r be (-2)\/((1 - 2)*1). Sort r, g, 0.5 in ascending order.\nAnswer: 0.5, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 596723 and 9197?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-2) - (3\/(-8))\/(-1).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - (22 - (6 + 22 + -20))) + 81\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4357\/10 - 438. Suppose -3*d + 152 = 32. What is the common denominator of 14\/d*(-2 - 0) and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5328, -20815, -46466, -82281, -128260, -184403, -250710?\nAnswer: -327181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2201 (base 3) to base 6\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 k when two letters picked without replacement from nknpcncppc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (159\/159)\/((-14)\/(-12))*-7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(13) + -3 + -4)*-1 - (sqrt(104)\/sqrt(2) + sqrt(13) - ((sqrt(52) - sqrt(13)) + -3))))**2.\nAnswer: -54*sqrt(13) + 198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3003174?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - 9 - 16 - (-5 + -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 14*p**2 - 52*p - 32. Let u be x(-5). Solve 16*t - u*h + 20 = 15*t, -3*t - 2*h = 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 - 24645*q**2 - 6975020*q + 57374880.\nAnswer: 5*(q - 5197)*(q - 8)*(q + 276)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 3*v + 5*x = 0, 2*v = 5*x. Suppose -10*d + v*d = 0. Let u be (-2 + 0)\/(-2) + (d - -1). Is 2 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 n, and 1 m when three letters picked without replacement from ttymnntnynttmtyynncn?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r = -5*r - 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 94616105?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*(26\/(-143) + (-258)\/(-88)). Let i be (1\/(-1))\/(z\/(-2)). What is the nearest to 0.1 in -1, -0.1, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 183, 148, 97, 24, -77, -212?\n\"Answer: -s**3 - 2*s**2 - 22*s + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 118318908 to the nearest integer?\nAnswer: 10877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + o = -2*d + 53, 4*o = -21*d + 24*d + 59 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -18556*o - 55608. Calculate b(-3).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-24)\/(-56) + (-25)\/(-7). Suppose 0 = -k*o + 3*i + 57, -15 = 2*i + 3*i. Suppose 0 = -b + w + w, -4*w = 4*b - o. Solve 4*c + b = 3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -126, 2 in increasing order.\nAnswer: -126, -6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1637, -3277, -4929, -6599, -8293, -10017, -11777, -13579?\n\"Answer: -v**3 - 1633*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of 2*k**7\/35 - 8*k**6\/15 - 13*k**5\/15 + k**4 + 268*k**2. Determine o, given that w(o) = 0.\nAnswer: -1, 0, 1\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 3*w - w)*(2*w**3 + w**2 - w**2).\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 312998115*v**3 + 247337881 with respect to v.\nAnswer: 938994345*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (15\/(-2))\/((-155)\/93). Which is greater: 12 or w?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4*a + 62 = 0, 2*a = w - 4*w - 77. Let t = 4 + -3. Let n be 0\/(-3) + t - 30. Is w greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -373 + 156. Let p = o - -221. Solve -a - 3*u = -3*a - 12, a = -u + p for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 336 = -546. Let f = z - 884\/7. Let k = -115 - -113. Sort f, 4, -4, k.\nAnswer: -4, k, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 9*s**2 - 3*s - 9. Let v(g) = -4*g**2 + 2*g + 5. Let z(o) = 3*k(o) + 7*v(o). Let m(h) = -2*h**2 - 14*h - 5. Let r be m(-6). What is z(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 458*r + 15677. Give w(-32).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -3*a**6\/80 - a**5\/60 + 3*a**4\/4 + 2*a**3\/3 - 29*a**2\/2 + 59*a. Let m(l) be the first derivative of j(l). Factor m(h).\nAnswer: -(h - 2)*(h + 2)*(9*h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2778*q + 99913. Calculate t(-36).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -1. Let k(y) = y**3 - y**2 - 1. Let o(z) = -k(z) + 3*w(z). Let c = -216 - -218. Give o(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00011024405872 rounded to seven dps?\nAnswer: 0.0001102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2586258 to the power of 1\/2, to the nearest integer?\nAnswer: 1608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/2 of a meter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lhml when four letters picked without replacement from llhlxhxlxhxlm.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-12) + (-175)\/(-20). Suppose -2*s - 2530 = -7*s. Let g be s\/a - (-10)\/(-45). What is the highest common divisor of g and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a gram in milligrams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -247*q - 16. Let o = 337 - 341. What is the hundreds digit of n(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-8)\/b*(b*b*b**(2\/45)*b*b)\/b)\/(b**(-3\/5)*b**3\/b))**(2\/3) assuming b is positive.\nAnswer: b**(-572\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (28\/6 + -4)\/(4\/(-54)). Let a be 110\/i + (-6)\/(-27). Let q(b) = -b**3 + 9*b**2 - 6*b - 13. Is q(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8585, -8588, -8591, -8594, -8597, -8600?\n\"Answer: -3*f - 8582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -92 - -105. Suppose 3*k + 5*j - 31 = 0, 3 = k - 0*k - 2*j. What is the least common multiple of u and k?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1325 (base 11) to base 2.\nAnswer: 11010111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 - 306 = -4*m. Is 50 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15.66 + -15.26. What is the biggest value in l, 17.3, -1\/11?\nAnswer: 17.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 10, a: 2}. Give prob of picking 3 y.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 286516, 286523, 286542, 286579, 286640, 286731?\nAnswer: 286858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -7*z**2\/2 + z - 2. Determine r(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-36) + 20\/18.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3*d + 3)*(8*d - 255*d - 527*d - 212*d).\nAnswer: -2958*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3195 and 975?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 205 - 473. Suppose -m = 3*m + 16, 0 = 4*k - 2*m + 724. Let r = w - k. Round r to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.11954 - 0.12. What is y rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2073*m*p**3 - 4*m + 6*p**3 + 899*p - 2 wrt m.\nAnswer: 2073*p**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*j - 5631 = 1571. Is j a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + m)*(144*m + 166*m + 297 - 4217 - 308*m) as t*m + w*m**2 + o and give t.\nAnswer: -3920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + n**2 - 1. Let d(l) = -8*l**3 - 3*l**2 + 5. Suppose 76*c - 702 = 37*c. Suppose -c = -26*a + 8. Calculate a*d(b) + 5*f(b).\nAnswer: -3*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - 3*a - 6, k - 334 = -3*a. Round k to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*k - 5 + 3 - 163 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3864, 7732, 11586, 15420, 19228, 23004?\nAnswer: 26742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -55*v**2 + 56*v**2 - 1 + 1. Let z(m) be the second derivative of 0*m**2 - 4*m + 0 + 1\/6*m**3. Determine z(f(b)).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 97*n - 2368 = -93*n, -5*n - 971 = -2*j. Does 9 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by (-10512)\/(-288) + 2\/(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -399465*w**3 - 7*w - 12680.\nAnswer: -2396790*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - b = 0, -n - n = 4*b. Let u = -5790 + 5785. Do n and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 171 and 27?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24\/(-32) - (-1942)\/8. Calculate the greatest common factor of k and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66\/(-10) - (481\/(-65) - (-14)\/10)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + r + 0 + 1)*(-112*r + 9*r - 90*r) in the form g + q*r + h*r**2 and give q.\nAnswer: -386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v**(-10\/7)\/v*v*v)))**(-47) assuming v is positive.\nAnswer: v**(141\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*w + 11 = 22, 27 = 2*d - 5*w. Let z(p) = -9*p**2 + 2*p - 1. What is z(d)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m - 1. Let f be (-4)\/(-6) + 8\/(-3). Let u be a(f). Let p = -4844 + 4847. Solve 0 = -n - 3*n + 4*y - 16, 0 = u*n - p*y + 14 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.41, 16, 1\/4, 5, -2, 18\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 181*a + 219*a + 64*a + 233*a to the form v + o*a and give o.\nAnswer: 697","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -44625 - -1?\nAnswer: -44624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 719633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v + 1. Let o be j(-1). Let i be ((-18)\/4 + o)*3. Let c(r) = -2*r + 38. Let g be c(23). Is g at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 b when two letters picked without replacement from {d: 3, b: 4}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 36.51082 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -0*z - 5*h - 420, 0 = -5*z + 5*h + 520. Let j be -4*12\/(-40)*z. Calculate the highest common factor of 30 and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from ckkc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 2*g**5\/3 - 219508*g**4\/3 + 6022970234*g**3\/3 + 2634128*g**2\/3 - 72279155224*g\/3 + 96367524128\/3 = 0.\nAnswer: -4, 2, 54877","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 3*t + c - 2846, 4*t - 3*c = 3785. Suppose 0 = 2*x + 4, 5*s + x + 3*x = t. List the prime factors of s.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1144, 1859, 3180, 5107, 7640, 10779, 14524?\n\"Answer: 303*r**2 - 194*r + 1035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/9)\/(1470\/252)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2448 by 48.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*t - 157591 - 146408 = 212642. What are the prime factors of t?\nAnswer: 12601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-16))\/(18\/(-8)). Let p = -5.02 - -0.02. What is the third smallest value in i, 4, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -21, -73, -131, -189, -241?\n\"Answer: m**3 - 9*m**2 - 32*m + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2178 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 59 = -10*o. Let m(n) = 4*n**2 + n - 7*n + 0*n**2 + o*n. What is m(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*d + 33 = -30 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by -35986.\nAnswer: 1\/1894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*l = 6*q + 64, -1450*q - 4*l = -1454*q + 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6365 (base 9) in base 13?\nAnswer: -2189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 286342 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h - 3*h + 4*h)*(0 - 1 + 2)*(-h - 4 + 3 + 0*h).\nAnswer: 2*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140238586.\nAnswer: 2, 7237, 9689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3893890 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**2 + 589*c - 8. What is a(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 4*q + q**3 + 4*q - 4*q**2 - 5*q + 4. Let c be r(3). Suppose 2*o - c*o = -16. What is the remainder when 22 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55384.\nAnswer: 2, 7, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 4*i + 4, -3*m - 68 = 2*i. Let o = -13 - m. Suppose -o + 4 = -k. What is the remainder when 13 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1156 minus 0.5?\nAnswer: -0.6156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 11*x**3 - 6*x**2 + 4*x - 15. Let s(y) = -5*y**3 + 3*y**2 - 2*y + 7. Let i(g) = 4*c(g) + 9*s(g). Determine i(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 414*u**2 + 3*u - 20. Calculate w(-2).\nAnswer: 1630","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -0.07 (c) 283 (d) 15\/2 (e) -0.5 (f) -2 (g) -33\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2784 + -2779 + -33*1.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/6 of a week?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/3, 0.01, -44, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -3*q**5 - 15438*q**4 + 543234*q**3 - 3996420*q**2 - 9684279*q - 5129190 = 0?\nAnswer: -5181, -1, 15, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -40*d + 1532. What is r(38)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 514781881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, -6\/11, -0.4, -4?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -18*i - 11. Let z(o) = 643*o**2. Calculate r(z(q)).\nAnswer: -11574*q**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19.3 - 19. Suppose 7*m = 8*m - 2*h - 3, -3*m + 3*h + 3 = 0. What is the second smallest value in 2, j, m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -2*c - 10, -c = -b - 0 + 12. Let g be (-25)\/c*8\/10. Let t(r) = -3*r**2 + 2*r**2 - r**2 - 2 - g*r**3 - 3*r. Determine t(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08254934129 rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12487 in -0.2, -1\/2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 * 19.\nAnswer: -0.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1294546 (b) -7 (c) 0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 13 = 4*x, -544 = -x - 540 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 12 = 0, 6*z = 5*r + 3*z + 12. Solve 0 = -r*f - 3*f - 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f + 3. Let j(t) = t - 1. Let k(l) = h(l) - 3*j(l). What is the units digit of k(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 12*w**2 - w + 10. Let x be q(12). Put -0.2, x, -4 in descending order.\nAnswer: -0.2, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 359*a**6 - 18895*a**3 + 2667*a**2 - 497*a?\nAnswer: 43080*a**3 - 113370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1180*i + 528 = 579*i + 577*i for i.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166 = 8*y - 610. Suppose 5*j - 3*l - 339 = 0, 0*j + 140 = 2*j + l. Suppose -2*r - j = -3*z + y, 0 = -5*z + 5*r + 275. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 18*y**2 + 20*y + 28. Determine z(-19).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26243847?\nAnswer: 3, 7, 61, 6829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3243 (base 14) to base 6.\nAnswer: 104111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u. Let j(p) = 2*p**2 + 5*p + 21. Give j(i) + 3*t(i).\nAnswer: 2*i**2 + 2*i + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 69, 229, 535, 1035?\nAnswer: 1777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*z = u + 7, 50 = 2*u + 2*z. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22983896 divided by 45.\nAnswer: -22983896\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 56232, 56239, 56252, 56271?\n\"Answer: 3*s**2 - 2*s + 56231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17009\/14 smaller than 1214?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 355, 0.03, 136, -0.3, -1\/3?\nAnswer: 355","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16500 + 64164?\nAnswer: 44364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -191970, -191971, -191972, -191973?\n\"Answer: -s - 191969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 31*l**2 - 76*l - 1400. Let r be z(26). Let 18\/23*v**3 - 2*v**2 + 6\/23*v**r - 2\/23*v**5 + 72\/23 - 48\/23*v = 0. Calculate v.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.1674226 (b) 2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 6 = 2*v, 0*k = v + 4*k + 3. Suppose -195 = -j - 7*l + 10*l, -v*j - l + 927 = 0. What are the prime factors of j?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/(-2))\/(2\/1*1). Let x(d) be the third derivative of 2*d**2 + 0*d - 7\/24*d**4 + 0*d**3 + u. Let i(k) = k. What is i(x(z))?\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 162247 and 178.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 22*m + 85. Determine b(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22605 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.722 to 1 decimal place.\nAnswer: -6.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182305199?\nAnswer: 23, 823, 9631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 17 = -31. Let d(g) = -g + 11. Let t be d(p). Do t and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5962 = 13*i - 4659. Is 43 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24039 is divided by 173?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4358?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k - 1. Let o be w(-1). Suppose o = 4*y + y - 2*b - 486, 0 = -4*b + 8. Suppose 5*x - 4*x = 14. Calculate the greatest common factor of y and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79486799 is divided by 779?\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -p - 4*q, 0 = -3*p + q + 17. Suppose 2*u + 6 = -p. Is 330*4 + 2\/(u - -3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -4*q + 3820. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 349 divided by 98216.\nAnswer: 349\/98216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183285049?\nAnswer: 43, 149, 28607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 216 = -9*z. Let q = 133 - z. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 5*w = 24 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9323762 - -15757431. Let s = -3612376 + v. Suppose 2*k = s - 421293. What is k rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 + 7)*(-2*p**5 + p - p + (7*p**2 + 4*p**2 - 12*p**2)*(2*p**3 + 0*p**3 - p**3) + 2*p**5 + 0*p**5 + 0*p**5 - 13*p**5 - 11*p**5 + 35*p**5).\nAnswer: 70*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2972, 5927, 8874, 11807, 14720, 17607?\nAnswer: 20462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*a**5 + a**3 + 401*a**2 + 32698*a.\nAnswer: 220*a**3 + 6*a + 802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u - 12 = -18*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 296174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0991437 to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6325435 is divided by 440.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/4 - 573214*u - 328574289796.\nAnswer: -(u + 1146428)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 205*b - 984. What is the tens digit of f(34)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1799*y + 607*y - 2732*y + 160884 for y.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/2*(-30)\/3. Suppose 0 = q*k + 18 - 98. Let x(w) = 7*w + 2. What is the remainder when x(4) is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14780 to the power of 1\/2, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (2 + -1 - (-20 - -11)) + (-37 - -34)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12309*t + 12342*t - 24692*t.\nAnswer: -41*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -13857*u + 13859*u + 2*c, 9*c - 71 = 2*u for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 6*f**2. Let t be b(6). Suppose -1 = -v - t, 4*m + 43200002 = 2*v. Round m to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -140*o + 150*o - 7840. What is the greatest common divisor of 16 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -382 * -0.191\nAnswer: 72.962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) 2 (c) -17 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -90*j + 1290. What is the remainder when 1506 is divided by y(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*x - 5*x + 2*x)*(-1 - x**4 + 1) - 4 + 4 + x**5 + 3*x**5 + 2*x**5 - 3*x**5)*(1 - 4 + 6).\nAnswer: 12*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -5*o - 4. Let b(q) = q - 5. What is -6*b(w) - v(w)?\nAnswer: -w + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (11 + -5 - 3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-8))\/((-24)\/16). Let z(l) be the third derivative of 0*l - 1\/15*l**5 - 1\/120*l**6 - 12*l**2 + 1\/6*l**4 + 0 + p*l**3. What is z(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/14 - 9252\/42. Let s be 2*(-3)\/(-15) + (-2076)\/15. Let m = s - n. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -201970196.51843+-14\nAnswer: -201970210.51843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*d**3 - 1580*d**2 - 4462?\nAnswer: 30*d**2 - 3160*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/10 - 231\/35. Let j(i) = 3*i**2 - 2*i - 3. Let d(a) be the first derivative of 5*a**3\/3 - 3*a**2\/2 - 5*a - 6. Give q*j(r) + 4*d(r).\nAnswer: -r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.17871 rounded to two decimal places?\nAnswer: 2.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -55 and 0.3635.\nAnswer: -19.9925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) -62866\/3 (b) -5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.87 - -0.97. Which is the closest to l? (a) -0.05 (b) 4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2\/5 + 5179002*j\/5 - 2235171809667\/5.\nAnswer: -3*(j - 863167)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n*n\/(n**(-4)\/n))))\/n)**(-8)*n**(-7)*((n\/(n\/(n\/n**(-2)*n*n)))\/n)\/n assuming n is positive.\nAnswer: n**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3, -67\/7, 4?\nAnswer: -67\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 12*l + 8. What is j(4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*x - 2, 2*w + 3*x = -6. Let m = w + 9. Solve k + m*k = 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a millennium in years?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 530, 1412, 2650, 4244, 6194, 8500, 11162?\nAnswer: 14180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 18*z. Suppose 4*m + 11 - 19 = 0. Let w(r) = -7*r + r + r**m + 6*r. Calculate k(w(q)).\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 15. Let n(t) = t**3 + 5*t**2. Let i be n(-5). Suppose q + i*q - 4 = o, -3*q + 5 = -2*o. Sort v, 2\/23, o in descending order.\nAnswer: v, 2\/23, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 - 104 = -4*a. Let m be (4\/a - 2)*-6. Solve 3*d + 1 = -m for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 43.9 and 9?\nAnswer: 34.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54.9963 - 0.0563. Let f = 55 - v. Is 3 greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 53 = -n, 265*n - 292*n - r + 71 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven quarters of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o - 8*o = 0, -2*o - 8 - 1 = -3*f - 5*o for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -6 (b) 4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(792) - sqrt(22) - sqrt(22))\/(sqrt(22)\/sqrt(2)*3).\nAnswer: 4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -111\/2 + 57. Let s = -168 - -167.8. Let f = 34\/7 - 115\/28. What is the nearest to 0.2 in k, s, f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1060148.2367 rounded to the nearest 1000?\nAnswer: -1060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9 - 39\/(-4))*(-2)\/(-1). Which is the nearest to -1\/2? (a) -4 (b) -1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 9 - 5. Suppose -j*a - a + 419 = -4*m, 153 = a - 4*m. Is -2 + (-9)\/36 + a\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 + (8 - (11 - 5)). Suppose 4*g + 14 = -3*i, 0*g - 15 = 3*g. Put 1, 0, j, i in ascending order.\nAnswer: j, 0, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96\/72)\/(2\/(-3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.122995 micrograms to tonnes.\nAnswer: 0.000000000002122995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -20, -14, 18, 82, 184, 330, 526?\n\"Answer: a**3 + 7*a**2 - 22*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of 5*u**3\/3 - 140*u**2 - 285*u + 2646. Determine q, given that m(q) = 0.\nAnswer: -1, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*m + 4. What are the prime factors of m + 31*(-1 - -2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 0*v = -t - 23, 2*t = -41*v + 13 + 76 for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 + -1000000110110?\nAnswer: -1000000101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 9*b - 12. Suppose 3*w = -6, 0 = -4*o + 8*o + 2*w - 12. Is i(o) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35422 - 35410. Let y(w) = 5*w - 10. What is the remainder when y(9) is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27270574511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2684850 and 1050?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -123, -43, 267, 951, 2153?\n\"Answer: 24*r**3 - 29*r**2 - r - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17792 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17576 divided by 3.\nAnswer: -17576\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((t*t**18)\/t*t)\/t)\/t*t)\/(((t*t*(t*t**(5\/2)*t)\/t*t)\/t)\/t))\/(t**(-9\/8))**(-35))**(-35) assuming t is positive.\nAnswer: t**(7245\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -62026545\/8 or -7753317?\nAnswer: -7753317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 - 35. Let u(t) = t**2 - 1. Let m be u(h). Solve m*w + w = -12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 11. What is the common denominator of -49\/16 and ((-22)\/28)\/((-1)\/x)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, l: 16}. Give prob of sequence xxl.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (15\/8)\/((-396)\/3168)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11819*c**3 + 216*c**2 - 5171451*c?\nAnswer: 70914*c + 432","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -238 and -0.4?\nAnswer: 95.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -62.3312 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 11*a - 40. Determine u(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggegygxxxgxig. Give prob of picking 1 i and 1 x.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -122.476 times -213?\nAnswer: 26087.388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -101.33 to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/5 + 8292*g\/5 - 13280.\nAnswer: (g - 8)*(g + 8300)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 6 + 16 = w, 0 = -2*w + 3*a + 16. Suppose -j**2 + j**4 + 0 + 1\/2*j - w*j**3 + 3\/2*j**5 = 0. What is j?\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 115, 170, 225, 280, 335?\nAnswer: 390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15610 and 1687.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9328372 is divided by 87181?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5238204.3 days in weeks?\nAnswer: 748314.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1388\/7 + 198. Sort w, -0.1, 0.4 in ascending order.\nAnswer: w, -0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 1:40 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2982*z + 23896. Calculate g(-8).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 3*i**4\/2 + 2*i**3\/3 - i**2\/2 - 1. Let b be a(1). Let w = b - -16. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-16)\/6)\/(-4)*-24. Let l be 1 - 1\/(x\/(-14)). Are 0 and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -96*f**2 + 0 + 108*f**2 + 0 + 122*f**2. Let w(z) = -35*z**2. Calculate w(v(u)).\nAnswer: -628460*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.12438098 times 0.1\nAnswer: -0.012438098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/(-6)*(-5 - (-70)\/6). Let c be k\/((-11)\/((-33)\/(-6))). Solve -5*t = h - 2*t - 13, -h - c*t = -23 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x - 245 + 107 + 155. Let l(z) = -2*z - 16. What is -2*c(w) - 3*l(w)?\nAnswer: 2*w + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -4*i**3 - 2968080*i**2 - 550593680400*i = 0.\nAnswer: -371010, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 0.38 (c) -17 (d) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 347240*t**4 + 732981 with respect to t.\nAnswer: 1388960*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 20*p - 19. Let o(a) = 5 - 11 + 4 + 1. Let j(n) = -m(n) + 2*o(n). Find the first derivative of j(g) wrt g.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1033365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -224, -3\/5, 2, -43\/7?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 480 and 456610464.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17948, 17947, 17946, 17945, 17944, 17943?\nAnswer: 17942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.44193m to micrometers.\nAnswer: 28441930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18875 - -19536. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 8, 1\/4, 0.0987, 2, -0.5, -15, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6918697059 to the nearest integer?\nAnswer: 1905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 42, 98, 176, 276?\nAnswer: 398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -21. Suppose 10*y = s*y - 10. Suppose 209 = y*n - 31. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of p**2 - 153709. Let d(r) = 2*r**2. Let l(x) = x**2. Let t(i) = 3*d(i) - 4*l(i). Calculate w(t(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4*s - 3. Let u be c(3). Let y = u + -3. Suppose -15 = -5*l + 90. Calculate the remainder when l is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2187 + 2197. What is the lowest common multiple of 70 and t?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/4114 and 29\/34?\nAnswer: 4114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*sqrt(180)*2*4)**2.\nAnswer: 103680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12109 or -12108?\nAnswer: -12108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 558350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - z - 146. Let n be j(13). Solve 42*l = 47*l - n for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2555*l = -2557*l + 3*n + 64, 2*n = 4*l - 48 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -69*b**2*g**3 + 2*b**2*g**2*w + 27*b**2*g*w**4 - 3*b*g**3*w**4 + 2*b*g**3*w + b*w**2 wrt w?\nAnswer: 648*b**2*g*w - 72*b*g**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -11*h**2 + 8*h - 17. Let c be w(-7). Does 37 divide ((-2)\/6)\/(1 + 616\/c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8073 to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2411*f - 9671 + 9671.\nAnswer: 2411*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10812 and 21200?\nAnswer: 1081200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 110 - (56 + (107 - 144))?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -4 + 10. Let x = 3 + m. Factor -2*t**2 - x*t - 4 - 2*t - 4.\nAnswer: -2*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4 = -p, a - 34 = 4*p - 9. Let m be p\/(-21) + 120\/21. Let y(n) = n - 5. Determine y(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -5*t + 26, 3*d - 1594 = 18*t - 1618 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (11 - 3) + 21 + -57 + 29?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w + 3*w - 3*w - w + 3*w - 4*w + w - w - 2*w + (0*w - 2*w + 4*w)*(-1 + 0 - 1) - 1069 - 733*w + 1069 - 4 + 0*w + 3*w + 3 to v*w + x and give v.\nAnswer: -736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 10*s**2 - 10*s + 6. Let f be q(-11). Which is the nearest to 0? (a) -20 (b) f (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -304*o**3 - 6*o**2 - o - 7. Let w(v) = 3*v**3 - 2*v**2 - 1. Calculate -l(t) + 5*w(t).\nAnswer: 319*t**3 - 4*t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3706547 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 341010781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v + 30. Suppose 4*w = 2*q - 22, 0 = -2*q + 3*w + 28 - 6. Give d(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + 3 + (2 - 13)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.87 + -3818355106793.\nAnswer: -3818355106793.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -182230, -364453, -546678, -728905, -911134, -1093365?\nAnswer: -1275598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 17*p**2 + 58*p + 66. Calculate r(-13).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -273, -2\/13, 2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f + 4*f + 3*f - f - f + f + (-1 + 4 + 2)*(0*f - 3*f + 2*f) + (-4*f + 2*f + 3*f)*(2 + 1 + 0).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1890 >= -1889?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-270)\/(-30)*4\/(-9)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 - 2.7. Let b be -1*1*(0 + -1). Let s = -75602\/21 - -3600. What is the third biggest value in s, b, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7\/(28\/6)*15820\/30 is divided by 78?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/((-5940)\/351))\/(15\/50)?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5222?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 18211 = -2*w, -4*w - 1615 = -2*g + 5655. Suppose 5*s - g = 3344. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 1 - (-3 + 2). Let y(f) = -4*f**2 + 4*f**r + 3*f**2. Let w(g) = 0*g - g - g + 3*g. Calculate w(y(a)).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/23, -2\/5, -11, -0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1199729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*s**4 - 2*s**2 + 57*s**4 - 14*s**4 - 22*s**4 + s**3 - s to w*s**4 + q + v*s**2 + h*s**3 + a*s and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3724.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lwbwwwllbl. Give prob of sequence blwb.\nAnswer: 2\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 9*h**2 + 4*h - 6. Let y be p(-10). Suppose -5*g - a = -147, -3*g - 2*a + y = -g. Suppose -2*i + i = -g. Is i a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, -12, -40, -80, -132?\nAnswer: -196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*o - 4. Suppose 5*c + o*g - 3*g - 815 = 0, -3*g = -4*c + 624. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130536620 is divided by 4079269?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z + 41263 - 82520 + 41257.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 19*a**2 + 25*a + 109. What is u(-16)?\nAnswer: 477","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**4 - 2*c + 2*c)*(-5 + 15 + 16)*(-3*c + 4*c - 3*c)*(-3 + 3 - 2) + c**5 + 4*c**3 - 4*c**3.\nAnswer: -311*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 158384355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1386?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(114366\/13615*((-10)\/24)\/(-1))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -81*g - 158*g - 5497 for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s + 36 - 162 - 54 = 0. Solve -5*z - 2*t - s = 0, -2*z + z + 3*t + 10 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w + 1. Let f(z) = -9*z**2 + 10*z - 4. Let c(y) = 6*y**2 - 7*y + 3. Let k(l) = -8*c(l) - 5*f(l). Calculate k(j) + 6*n(j).\nAnswer: -3*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(1870\/1180) + 92\/1564?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - u**2 + 2*u**2. Let y(p) be the third derivative of p**5\/12 + 25*p**2. Give g(y(o)).\nAnswer: 50*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*i - 277 = 1233 + 1298 for i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - n - 26, -49 = -4*m - 2*n + 85. Let p = m + -17. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -1. Let i be (c\/6)\/((-1)\/(-15)). Suppose 18 = i*h - 112. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (246\/(-4))\/((-21)\/112). Suppose 3*k = 2*i - 385, 37 + t = 2*i + k. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 225453?\nAnswer: -225502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -37*b - 22. Let m(d) = 31*d + 22. Let s(h) = 5*i(h) + 6*m(h). Suppose -100 = 17*q - 7*q. Determine s(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -140 * -450.1.\nAnswer: 63014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**2\/3 - 65878*x\/3 + 48157736\/3 = 0.\nAnswer: 748, 32191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2364948 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 0)**2 + -5 + -2*sqrt(11) + 3 + (3 + 2 + 1 + sqrt(1584))**2 + 4.\nAnswer: 142*sqrt(11) + 1633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/300 and 9\/1840295.\nAnswer: 110417700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s**2 + 2*s**2 - 4*s**2)*(-1 + 8 - 1) - 239*s**2 + 21*s**2 - 249*s**2 to the form g*s**2 + x + w*s and give g.\nAnswer: -479","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 140035693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2058 - 6160 + 6*q - q + 2050 + 2052.\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -5*d - 15, 2*d + 5 - 21 = -4*a. Find the second derivative of -a*v**5 + 57*v + 8*v**2 + 43*v - 13*v**2 wrt v.\nAnswer: -100*v**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/22 + (41392\/880 - 45).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -436 - -248. Let c = -185 - b. Solve 0*l = c*l - 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1070, -4118, -9054, -15878?\nAnswer: -24590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i**5 + 3466702*i**4 - 4622308*i**3 - 16177988*i**2 - 4622274*i + 3466710 = 0. What is i?\nAnswer: -577785, -1, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 272 divided by -16?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -279889*a + 35497 = -279428*a for a.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**3 - 1033220*l**2 + 13432416*l - 30998160 = 0 for l.\nAnswer: -258318, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -590*t**3 + 35*t. Let h(k) = 49*k**3 - 3*k. Calculate -35*h(n) - 3*o(n).\nAnswer: 55*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 100652 = 31552. What are the prime factors of a?\nAnswer: 2, 5, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 13*i = 24*i + 70 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5855.975ml in litres?\nAnswer: 5.855975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o**2 - 4*o - 2. Let y(t) = 3*t**2 + 3*t + 1. Let z(a) = -2*x(a) - 3*y(a). Let u(c) = c**3 + c**2 - 4*c + 4. Give -u(h) + 4*z(h).\nAnswer: -h**3 - 5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 9381 - 1284 = 0. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3280*0.4\nAnswer: -1312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 208589 = -2*t, -11*t + 8*t = 3*r - 125166. Is r 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)\/(-4) - 2\/4*-271?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246966 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1110)\/(-25))\/(-3)*5. Let k be ((-447)\/j)\/3 + (-24)\/12. Is 1 > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-72))\/(91\/(-845)). Let o = h - 1\/84. Let n = 1 - 2. Which is smaller: o or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-1)*(418\/(-22))\/76\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*148\/74*-3?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3211537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1571846161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13569662 and 1562.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*d**4 - 119711*d**3 + 4*d**2 - 7890838 wrt d.\nAnswer: -32*d**3 - 359133*d**2 + 8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 14*i - 1197. Suppose -5*p = -w + 127, 5*p + 8*w = 7*w - i. Let d = 8 + -36. Is d at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 793 + -799. Let m(l) = -2*l + 3. Let i(r) = 4*r - 7. Give b*i(c) - 13*m(c).\nAnswer: 2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -380, -4, 86, 5, 7 in descending order.\nAnswer: 86, 7, 5, 0, -4, -380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -7. Let z = 8 - r. Let j be (4\/(-5))\/((-2)\/z). Solve -j*f - d = -5*d - 12, -3*d = 12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 39038.02 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005826044 to 6 dps.\nAnswer: 0.000583","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 39*t - 5. Let b(f) = 23*f - 4. Let h(y) = 125*y - 22. Let l(j) = 11*b(j) - 2*h(j). Determine l(v(q)).\nAnswer: 117*q - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 7*u**2 + 10*u + 3. Suppose 12 - 2 = 2*n. Let d be t(n). What is the tens digit of -3 + d + 0 + 45?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-8))\/(5*(-3)\/12)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/3, 0, -2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -4 + 0*o - o - 2*o. Let y(r) = 15*r + 21. Suppose 2*p + 84 = 6*p. Let j(n) = p*s(n) + 4*y(n). Let g(t) = -t. Calculate g(j(z)).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -832 and 0.05701.\nAnswer: -831.94299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 283 = l + 281. Solve -2 - 2 = -l*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b1 + 57?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -11, 244901 in increasing order.\nAnswer: -11, -4, 244901","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(4\/3)\/g**(-4\/7))**(3\/20)\/((g**(1\/6)\/g)\/(g\/(g\/g**(-3\/4)))*(g*g\/(g*g*g**(-1\/2)\/g))**(-39)) assuming g is positive.\nAnswer: g**(4945\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 8:36 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3))**(1\/18)\/(o**(-4\/3)\/o**(5\/2)) assuming o is positive.\nAnswer: o**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 2*t - 11, 4*t - 2*z = -3*z + 1. Let y(c) = c + 6. Let s be y(-5). Calculate the remainder when (-9)\/(-4) - s\/4 is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*v**2 + 5808*v - 2108304 = 0. Calculate v.\nAnswer: 726","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, u: 1, i: 9}. Give prob of sequence uiis.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/(s*(s\/s**8)\/s)*s*s*s*s**(-23) assuming s is positive.\nAnswer: s**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/4*120\/54?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1092, -1098, -1104, -1110, -1116?\nAnswer: -1122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of v**6\/720 - v**5\/15 + 4*v**4\/3 + 17*v**3\/2 - 10*v**2. Let b(d) be the first derivative of l(d). Let b(a) = 0. Calculate a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, k: 2, z: 4, x: 6, v: 1, n: 4}. What is prob of picking 2 n and 1 z?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -67.017538 to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (52 + (-21 - -11) + 1).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**5\/3 + 17210*m**4\/3 - 36945500*m**3\/3 - 111146460*m**2 - 333749430*m - 333904482.\nAnswer: -2*(m - 4307)**2*(m + 3)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 0 + 1 - 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -83*((-2)\/(-6) - (-133)\/(-57))?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106424658489 - -97.\nAnswer: -106424658392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 30 - 30 - 7*v**3 + (0*v**2 - 2*v**2 + 3*v**2)*(-3 + v + 3) + 10*v**2 - 86 - 71*v**3 + 83 - 12*v**2 as k*v**3 + i*v + z + f*v**2 and give k.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 353904923.\nAnswer: 2659, 133097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 229*a + 30*a**2 - 166*a - 60*a.\nAnswer: 30*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j + 26. Let r be m(8). Let x = 36 - 8. Suppose r*i - x = -16. Let w(y) = y**2. Let t(o) = 9*o**2. What is i*w(h) - t(h)?\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -3. Let q = 27 - m. Does 19 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(66) - -5*2*sqrt(66))\/(sqrt(132)\/(-2*sqrt(12) - sqrt(12))))\/(sqrt(243)*-1*4 + 1*sqrt(243)*2))**2.\nAnswer: 121\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 5*j = -5, -8*h + 3*h + 4*j = 14. Suppose 3*m = -0*m - 3. Let u = h + m. Which is the second biggest value? (a) 0 (b) -3\/4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 718821 a multiple of 711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40873?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.58, -3\/2, -0.5, 4?\nAnswer: 0.58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -815? (a) 0.04 (b) 2 (c) 2\/13 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 - 50. Suppose 0 = -i + o + 11. What is the remainder when 94 is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cakhacp. Give prob of sequence cak.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -30 + 38. Solve -o - 4*d + 15 = 0, 4*d = g*o + 6 - 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 783 divided by -261?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 4*c**2 + c. Let p be m(1). Suppose 3*w = 17 - p. Calculate the lowest common multiple of w and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g*g*(g\/(g\/(g*g**(1\/3)*g)))\/g)\/g)**(-1\/4)*(g\/(g*g**(-2\/5)))**(-39))**(-38) assuming g is positive.\nAnswer: g**(9367\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124 - 19 = 21*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of o**4\/12 + 5*o**3\/6 - 1203*o. Let n(c) = c. Give n(m(t)).\nAnswer: t**2 + 5*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 316 divide 5141810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvcvv. Give prob of picking 1 v and 1 c.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 times -18.414?\nAnswer: 25.7796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 100051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 16*g**2. Let c(o) = -19*o + 6. Let h(q) = -245*q + 77. Let k(l) = 77*c(l) - 6*h(l). Give k(a(m)).\nAnswer: 112*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12\/8)\/(15\/20). Suppose -4*l + 4*k = 0, 2*l - o = -2*k + 5*k. Calculate the remainder when (-1)\/(1\/(-27 - l)) is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 6*c + 2. Let s(h) = -h**3 - h**2 - 6. Let p be s(0). Let q be d(p). Let m(u) = 3*u**3 - 3*u**2 + 2*u - 2. List the prime factors of m(q).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 39*o**2 + 2*o - 57. What is the units digit of n(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, z: 2}. What is prob of sequence zw?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/3*((-32)\/(-8) - 7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 13\/8*a**4 + 1\/2*a**3 + 0*a + 3\/2*a**2 + 1\/2*a**5.\nAnswer: a**2*(a - 2)**2*(4*a + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4 + (2*(-2*sqrt(171) + sqrt(171)) - (-1 + sqrt(57)\/sqrt(3) + 2)).\nAnswer: -7*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4 + ((sqrt(605) + -1)*-1 - sqrt(605)) + -2 + -1)**2.\nAnswer: -4912 - 528*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-11)*p\/(p*p**(1\/2))*p*p*p\/p**(-1\/8)*p**(1\/3)\/p assuming p is positive.\nAnswer: p**(-217\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4703295 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -14. Let a be (0\/2 - (j + 2))*-1. Suppose o - 7*g + 3*g = -20, 3*g = -2*o + 4. Sort -0.3, o, a in decreasing order.\nAnswer: a, -0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 3*d - 7 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2147 and 1178703?\nAnswer: 2147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 + 300*k - 4500.\nAnswer: -5*(k - 30)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 18. What is the smallest value in -3, g, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 716 + -129. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d + 2. Let w be x(-1). Solve w*m = 9 - 12 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + 0.6. Let m = o + 0.7. Let z = m - 0.2. Is z at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13641 (base 8) in base 14?\nAnswer: -22c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 0 + (-32)\/(-4). Let h(f) = f**3 - 11*f**2 - f + 15. Let z be h(g). Round z to the nearest 10.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 3*a - 26 = 0, -665*a = -664*a + 2 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -142\/3 - -48. Let v = -4756 - -4755.9. Let i = -216 + 1946\/9. What is the fourth biggest value in i, -1\/3, v, x?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/((-368)\/(-299)))\/(15\/9*(-6)\/(-4)).\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1445228557 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fpdnnffnpnjfnd. Give prob of picking 1 p and 2 d.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 334, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 + -11. Let p = 4 - i. Let j = p + 40. What is the greatest common divisor of 9 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -39\/7?\nAnswer: -39\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-13))\/(130\/26)*(-19)\/(152\/(-120))?\nAnswer: -9\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6, u: 4}. What is prob of sequence duud?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -160395, -321558, -482721, -643884?\nAnswer: -805047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 3*n**2 + 9*n + 18. Let a be p(-6). Calculate the highest common divisor of a and 342.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/45 of a day in seconds?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 7323*t - 117019. Give w(16).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 2*r**2 - 6*r - 5. Let u(g) = g**3 - 3*g**2 + 5*g + 3. Let q(o) = 2*t(o) + 3*u(o). What is q(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/133 and 232\/(-2204)*(-44)\/(-14).\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x - x**2 + 5*x - 3*x + 2 as g*x**2 + l + m*x and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8360074 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6290008643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 98*p**2 + 82*p + 180. What are the prime factors of n(-13)?\nAnswer: 2, 3919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-116)\/145 + (-1352)\/(-1365)\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -121 + 10*u + 3\/2*u**2. Determine y(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 5*n**3 - 125*n**2 - 115*n + 5. Let z(v) = -5*v**3 + 125*v**2 + 112*v - 6. Let d(w) = -6*a(w) - 5*z(w). Factor d(y).\nAnswer: -5*y*(y - 26)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1*1003 + (-49 - -48)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -115, -249, -433?\nAnswer: -667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007451778 to five dps.\nAnswer: -0.00745","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, l: 3, f: 2, m: 6, d: 4}. What is prob of sequence mdmd?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 812.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a week in minutes?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46082?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o + 23 = 19*o. Let h(f) = -21*f + 4. Calculate the remainder when h(-3) is divided by o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 548.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 55*c**2 - 47*c + 35. What is the tens digit of v(57)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-44))\/((-1067)\/(-2134))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 122, 8, -2, 30, -3 in ascending order.\nAnswer: -3, -2, -1, 8, 30, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*u**2 - 8*u**2 + 2*u**2 + (-u + 1 - 1)*(-2 + 2 - 2*u).\nAnswer: -13*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -130 + 134. Suppose -10*q = -m*q - 444. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -285 - -285.6. Let j = 1.1 - 1.6. Which is the nearest to 0? (a) 1\/5 (b) m (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-8)\/(-5))\/((-72)\/(-540)) and 21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 175 - 174. Calculate the greatest common divisor of 8 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-748)\/108 - (-16)\/(-216). Let b be 2 + (-16)\/c - (-64)\/(-16). What is the biggest value in -0.2, 2.27, b?\nAnswer: 2.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = t - 15. Suppose -j + 10*z - 5*z = -150, j = -t*z + 166. Suppose -5*f + 10 = 0, b - 3*b = -f - j. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*n**3 + 111*n**3 + 10601*n - 10594*n)*((0 - 5 + 4)*(2*n + 0 + 0) + 0*n + 2*n - 3*n).\nAnswer: -246*n**4 - 21*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 0, 97, 5, -5 in descending order.\nAnswer: 97, 5, 0, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**5 - 29*p**4 + 42*p**3 + 332*p**2 - 824*p + 480 = 0. What is p?\nAnswer: -30, -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 9*x + 108. Let n(a) = -25*a - 283. Let v(w) = -8*g(w) - 3*n(w). Determine v(-11).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149 = -8*w + 347. Let o = w + 6. List the prime factors of o.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/1)\/((-24)\/9)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*w - 61*w - 145 = 95 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1711869?\nAnswer: 3, 401, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-42)\/9)\/(4\/(-2670)). Suppose -4*d - d - u + m = 0, 4*d + 3*u - 2492 = 0. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28*65\/728)\/(10\/(-148)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(9*2\/(-12)) + 5 + -3. Solve -f*t + 88 - 80 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fgf when three letters picked without replacement from {g: 2, f: 6, c: 9}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80, 78, 74, 68, 60, 50, 38?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n - 1. Let c be l(2). Let r(q) = q**2 + 3*q - 2. Let d be r(2). Suppose -c*x + 10 = -d. Solve -8 = -4*b, -2*g - 3*b = -x*b + 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence da when two letters picked without replacement from {d: 2, a: 5, t: 6, q: 3, g: 1, i: 3}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 73*m - 836. What is the thousands digit of q(52)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 62834242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 6 - 10 - 2341*s.\nAnswer: -2341*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - 5204364.\nAnswer: -5204360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -492 (base 14) to base 4.\nAnswer: -32100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/1538880 and 37\/32.\nAnswer: 1538880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 5*m - 2. Suppose u + 4*u - 105 = 0. Suppose 0 = -3*p + 3 - u. What is h(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/5 and 20\/2981?\nAnswer: 14905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2347, -5830, -9313, -12796, -16279?\n\"Answer: -3483*z + 1136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 10:48 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 34*m**2 - 606*m + 43. Is i(-44) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) 5 (c) -1 (d) -51\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 211110 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -66382.2227 - -66387. What is g rounded to 1 decimal place?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p - p**2 + 1 - 2*p**2 - 3. Let q(l) = 4*l**2 - 2*l + 2. Let r be ((-7)\/(-3) - 0) + 70\/105. Give r*h(d) + 2*q(d).\nAnswer: -d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 73538899 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1477\/117 - -167\/13. What is the fourth smallest value in 0.2, -164, u, -1\/6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*d**2 + 22*d**2 + 38*d**3 - 64*d**2 wrt d?\nAnswer: 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + l + 3*p + 19 = -2*p, 4*p + 74 = 54 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 281\/15, 0.4, -0.6, -2\/23 in increasing order.\nAnswer: -0.6, -2\/23, 0.4, 281\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*h = -4*a + 99, 43 = 2*a + 5*h. Suppose -12*u = -43 - a. Find the second derivative of -6 - 36*y + 16*y**2 + 16*y**2 + u wrt y.\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 2*o**3\/3 - 5*o**2 + 8*o + 3. Factor z(b).\nAnswer: 2*(b - 4)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -1\/90*c**4 - 4\/3*c**2 - 16\/45*c**3 + c - 60 + 1\/150*c**5. Factor w(k).\nAnswer: 2*(k - 5)*(k + 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/1506 and 47\/2761?\nAnswer: 16566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -aa (base 12) to base 5\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.19, -0.3, -1, -4, 1, 5347, -0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-947)\/403422*36\/(-3)\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 362\/3 + -122. Let a = 14 - 13. Let v = -3 - -1. What is the nearest to -1 in a, z, v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of 4*s + 1\/2*s**3 - 1\/66*s**4 + 1\/220*s**5 + 0 + 0*s**2 - 1\/1980*s**6. Let c(g) be the second derivative of v(g). Factor c(b).\nAnswer: -2*(b - 2)*(b - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002265 rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118368.\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -16cdfbd + 5?\nAnswer: -16cdfb8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 609595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 5b?\nAnswer: 5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.08 - 0.32. Let n = s - -10.4. Which is the nearest to 0? (a) 0 (b) 0.1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 4*h = 20, -10*h = -11*h - 5 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hehheehzuuoh. Give prob of picking 1 e and 1 z.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 179590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7655, 7148, 5767, 3074, -1369?\n\"Answer: -73*v**3 + v**2 + v + 7726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23731598 divided by 2.\nAnswer: -11865799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3463516 divided by 164?\nAnswer: -21119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 5*z**2 + 7*z + 7. Let y be w(-6). Let v = 0.07 + 0.01. Let q = v - -0.42. Which is the closest to -2? (a) y (b) q (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-4)\/((-36)\/(-75)))\/(32\/(-1728))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 4*i**2 + 6)*(-153*i - 41*i + 12*i) + 450*i**2 - 450*i**2 - 14*i**3 to the form s*i**2 + m*i + t + n*i**3 and give n.\nAnswer: -742","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 24*c**2 + 18*c + 17. Calculate the remainder when 388 is divided by w(-25).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 167.\nAnswer: -3\/167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/301769 (b) 0.1 (c) -0.4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((13 - 3) + -12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 92472 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o - 2. Let v be 23\/(-7) + 16\/56. Let g be z(v). Suppose 0 = -2*j - j + 3. Calculate the highest common factor of j and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270 = 1274*d - 1557*d + 296 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 8*k**2 - 16*k + 19. Determine p(6).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 10*q**2 + 8*q - 14. Let l(m) = 2*m**2 - 2. Let j(b) = 2*l(b) - p(b). Give j(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/19, 10250, 2.\nAnswer: -2\/19, 2, 10250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r - 2. Let m(i) be the second derivative of -i**3\/6 + 3*i**2\/2 + i + 3. Let y = 164 - 169. Give y*t(w) - 4*m(w).\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 452329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.2, 1.8, 0.07, -3\/5, 1.1?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -4*g + 2. Let y = -1674.8 + 1675. Which is the third smallest value? (a) g (b) y (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/24)*c*c*c**20 assuming c is positive.\nAnswer: c**(529\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 76*p**2 - 34*p - 2851. What is y(75)?\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -8*i**2 + 7*i + 67. Let x(v) = 7*v**2 - 6*v - 66. Determine 5*t(k) + 6*x(k).\nAnswer: 2*k**2 - k - 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -54 + 57. Let b(f) be the second derivative of 0 + 0*f**2 + 0*f**4 + 1\/30*f**6 + 1\/3*f**y + 0*f**5 + f. Find the second derivative of b(c) wrt c.\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 609 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41888 and 6125812?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10008, -10033, -10058, -10083, -10108, -10133?\nAnswer: -10158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wyb when three letters picked without replacement from {w: 1, j: 3, e: 1, b: 2, y: 5}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/5 + (-672)\/(-70) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 10*n + 4. Let g be r(8). Suppose 2*p - g = h - 3*h, 64 = 4*p - 4*h. Let z = -8 + 33. Calculate the remainder when z is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -70 and -1916\/27 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -18, -5, -4, -330 in descending order.\nAnswer: 3, -4, -5, -18, -330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 56253 = 8*c - 5*l, 5*l = -30. 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(a) = 7*a**2 + 8*a**2 + 0*a**2 - 3*a**2. Let z(u) = -u**2. What is t(z(l))?\nAnswer: 12*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7, 72, 251, 604, 1191, 2072?\n\"Answer: 10*f**3 - 3*f**2 + 4*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 61\/4 - 541\/36. Let n be ((-40)\/6)\/(10*(-8)\/180). Suppose -n*r + 457 = 232. Put r, z, 5, 3 in decreasing order.\nAnswer: r, 5, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -8, 24.\nAnswer: -8, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 2 + 1. Let t be n*(0 + 1\/12). Factor 0 - t*u + 1\/4*u**3 + 0*u**2.\nAnswer: u*(u - 1)*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 4:04 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*k - 496 = 0. Suppose -4*p + 180 = -k. Suppose -4*u + j - 18 = -p, 0 = 2*u + j - 43. List the prime factors of u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 2 (c) 0.363\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -k**4\/8 - 371*k**2. Let r(w) be the first derivative of -3\/2*w**2 - 4 + 0*w. Determine f(r(o)).\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 2*z + 2*z)*(199*z**3 + 579*z**3 + 354*z**3).\nAnswer: 4528*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1636, -1637, -1632, -1615, -1580, -1521, -1432, -1307?\nAnswer: -1140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1781937 divided by -127\nAnswer: 14031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 2 (c) 0.5 (d) -58\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + 4*z + z)*(z**2 - 28 - 5702*z + 5702*z)*(3*z - 12*z - 5*z).\nAnswer: -14*z**4 + 392*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.5 (b) 2 (c) 0.1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.79049 litres in millilitres?\nAnswer: 5790.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) - (sqrt(209) - 4*(sqrt(209) + (sqrt(209) - (sqrt(209)*-1 + sqrt(209))))))\/sqrt(11) + 3)**2 + ((sqrt(228)*2 + sqrt(228))\/sqrt(3))**2 + -2.\nAnswer: 48*sqrt(19) + 1907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 5:19 AM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*m - 2 - 17*m + 35*m - 3*m**3 to t*m + r*m**3 + b*m**2 + w and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4933.\nAnswer: 4933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -58535 + 6146116\/105. What is the common denominator of 119\/120 and g?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -155*h**3 + h**2 - 134*h**3 + 238*h**3 - 5*h**3 + 0*h**3 + 3*h**3 + (3*h - h + 0*h)*(-h - h**2 + h) + h**3 - 6*h**3 + 3*h**3.\nAnswer: -57*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 198970.7, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3565731 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -2*i + 4, -2*i - 2*i - 10 = s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75, 51, 5, -69, -177, -325, -519, -765?\nAnswer: -1069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 b when four letters picked without replacement from wxbwxybwwy.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/49 and -15\/133.\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a decade?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-85)\/((-685100)\/208)*35\/(-7)\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 17 - (-10 + 30 - 9 - -25) - 10\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 2 f, and 1 h when four letters picked without replacement from {l: 1, o: 3, p: 1, f: 3, h: 2, t: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 112 = -8*q. Suppose 0*k - k + 5*p = -6, -4*k = -2*p - 114. What is the remainder when k is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/5 - 2*q**2\/5 + 2*q\/5 + 2\/5.\nAnswer: -2*(q - 1)*(q + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4683590)\/(-27))\/((-12)\/(-9)). Let n = q - 1087802\/9. Let p = n - 9255. Calculate the common denominator of p and -25.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -17*z**3 - z. Let j be (24\/32)\/((-1)\/(-12)). Suppose j*r - 23 + 14 = 0. Calculate u(r).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/36*3\/((-45)\/(-8))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -6 - 16) + 15\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21480.\nAnswer: 2, 3, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 0.861.\nAnswer: 0.861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -i + 2. Suppose 0*f + 2*f + p - 40 = 0, f = i*p + 13. What is the remainder when 92 is divided by f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1594 divide 299043964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -m**7\/147 + 4*m**6\/105 - m**5\/14 + m**4\/21 - 12*m. Determine u so that h(u) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/21)\/((-28)\/16). Let t be 4509\/334 + 87\/(-6). Which is smaller: t or d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - (19 + -29)) + 25\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 458806.\nAnswer: 2, 229403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 3*j**2 - 2*j - 3. Let v(t) = -7 - 3*t**3 - 4*t - 7*t**2 + 3*t - 4*t. Let m = 5 + -3. Give m*v(g) - 5*d(g).\nAnswer: -g**3 + g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (21\/6 + -2)\/(10\/(-1200)). Let v = -181 - m. Sort 1, v, 4 in increasing order.\nAnswer: v, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.9 - 2.9017. What is s rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**3 + 10*n**3 + 2*n**3 - n**3.\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 12:01 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-4\/13)\/a))**(2\/39) assuming a is positive.\nAnswer: a**(20\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 1 - 2 + 2. Let s(j) = -2*j - 5. Let q = 19 - 25. Let w be ((-2)\/q)\/(9\/27). What is w*s(n) + 2*f(n)?\nAnswer: -2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*b + 187*b + 12 = 4*f, -b = 3*f - 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 192398?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 10 = 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4619 + -4653.77. Let k = -35 - y. Let o = 0.22899 + k. Round o to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -10*z + 6. Let j(o) = -o - 1. Let q(w) = 4*j(w) - 2*r(w). Find the first derivative of q(h) wrt h.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1266 and 188931510.\nAnswer: 1266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w - 6*w + 5*w + 12*w. Let r(o) = 7*o. Let u(g) = 19*g. Let z(f) = 11*r(f) - 4*u(f). What is l(z(y))?\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m + 0*m + m**2 + (-1 - 2*m + 1)*(m - m + 4*m)*(-3 + 3 - 5)*(0 + 4 + 0).\nAnswer: 161*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11.1 - -10.6. Put 14, a, 7, -3\/4 in descending order.\nAnswer: 14, 7, a, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + 11238.9?\nAnswer: 11238.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-16)*4\/2. Suppose -2*d - 5*j = 16 + 7, -5*d = 4*j + 15. Suppose -2*v - 7 = -d. Sort v, 5, -5, c in ascending order.\nAnswer: -5, v, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + m + 6. Suppose 2*l = -l + 12. Let v be x(l). Let n be (2 + 0)\/(v\/(-171)). Calculate the highest common factor of 38 and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of n**2\/2 + 3*n - 12. What is u(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, 2\/3, -4446, 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*2*sqrt(704) + sqrt(704) + 6*(sqrt(704) + sqrt(704) + -1 + sqrt(704)))*-3*6 + 4)**2.\nAnswer: -290304*sqrt(11) + 18488320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 17857, 68014, 151609, 268642, 419113?\n\"Answer: 16719*f**2 + 1138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2404*x + 635 + 18597 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2720, -2712, -2706, -2702, -2700?\n\"Answer: -i**2 + 11*i - 2730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s + 1. Let l(q) = -66*q + 22. Let m(k) = 33*d(k) - l(k). What is the remainder when m(4) is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1776796 and 32870726.\nAnswer: 65741452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -43*f**4 + 15 - 46*f**4 + 2*f + f - 2*f + 32*f**4 with respect to f.\nAnswer: -228*f**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*(p\/(p*p**(13\/2)*p))\/p)\/p**(-7\/3)*p**28*p**(-23) assuming p is positive.\nAnswer: p**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0159975548 to 5 dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -2*a - 1, 4*a + 8 = 5*r - 5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-36)\/108)\/(1\/(-6)). Find the first derivative of 243*u**4 - 244*u**4 - 3*u**z + 2 + u**2 - 3 wrt u.\nAnswer: -4*u**3 - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 39*r**2 - 120*r + 58. Is 32 a factor of a(35)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 840 = -2*y. Let t = 408 + y. Calculate the highest common divisor of 16 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0373*3.4\nAnswer: 0.12682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 3*k - 3. Let i = 10 - 8. Let z = i - 5. Give l(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 4*b - 2*b)*(-4*b**2 + 33 - 29 + 3*b**2).\nAnswer: -3*b**3 + 12*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2 + 160*n + 14784.\nAnswer: -4*(n - 84)*(n + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 73 + 249 = 0. Suppose -b = -2*r - 584. What is the tens digit of (1\/(-4))\/(3\/r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 - (3 - 114\/15). Let o = -0.1 + 9.1. Let u = -0.12 - 3.88. Which is the smallest value? (a) u (b) o (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148876 is divided by 54.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 636315?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away 9833133.1?\nAnswer: -9833135.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqnqqjfdqjjqqqqjqq. What is prob of picking 1 q and 2 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122 - 4083*o + 62 - 802*o + 60.\nAnswer: -4885*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -346403 + -4?\nAnswer: -346407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12650 and 217580?\nAnswer: 1087900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -7*k**4\/4 - 3*k**3\/2 + 9*k**2\/2 + 3*k. Let m(h) = -5*h**2 - 2*h + 2. Determine -9*m(r) + 2*s(r).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 12*p + 3. Let i be ((-16)\/6)\/(16\/72). Let o be d(i). Solve 2*z - o*r + 16 = -7*r, -3*z - 2 = -5*r for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**2 - 59*o. Let h(w) = 3*w - 390. Give p(h(t)).\nAnswer: -18*t**2 + 4503*t - 281190","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 118974 and 33654.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/4, 85, -3, 4, 5, -75?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-0.00073.\nAnswer: 0.000146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.0365 (b) 0.4 (c) -9\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 550751564?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1821 and 3.9?\nAnswer: 0.71019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4324478 is divided by 432447.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10332020300201 + 2?\nAnswer: -10332020300133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -114943.\nAnswer: -114942.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (100 - 57*q - 100)*(-q**3 - 2*q**3 - 3*q**3).\nAnswer: 342*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3121081567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 160\/300*((-90)\/324)\/((-2)\/6).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l - 2*l - l. Let d(g) = 5*g**2. Give d(x(b)).\nAnswer: 20*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12180 and 392070?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*h + 27 + 6 + 8 - 16 to m*h + o and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 302, 297, 278, 239, 174, 77, -58, -237?\n\"Answer: -w**3 - w**2 + 5*w + 299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of t**8\/336 - t**7\/105 + t**5\/30 - t**4\/24 - t**2 + 3. Let w(c) be the second derivative of j(c). Determine k so that w(k) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.6 + -6.2. Sort -0.3, d, -4\/7, 2\/9.\nAnswer: -4\/7, -0.3, 2\/9, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1022 (base 3) to base 2\nAnswer: 100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 0, -35, -114, -255, -476?\n\"Answer: -3*j**3 - 4*j**2 - 2*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 5*y - 4911777 - 13588207, 4*y - 2*z = 14799992. What is y rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96*0.5.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -915 + -2.\nAnswer: -917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -98cc + 35c?\nAnswer: -9570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7\/51235468 + 379680447549\/87356472940. Let b be -9 + 5 + (-4 - 1292\/(-155)). Let m = h + b. Calculate the common denominator of m and 29\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -52*a - 24 - a**2 + 2\/3*a**3. Find the first derivative of t(d) wrt d.\nAnswer: 4*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 383859140?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -482125*r**6 + 13*r**2 + 644*r - 12?\nAnswer: -57855000*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19.1 - -483.9. Let s = -503 + z. Which is bigger: s or 2\/39?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/144425600 and -59\/74600?\nAnswer: 144425600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2911443 is divided by 565?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 162 and 23202.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 38828569939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -4644\nAnswer: 1\/1548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 113*s + 69. Let z be j(9). Suppose -z = -25*g + 11164. Is g a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.576 - 0.026. Let f = -0.45 - r. Which is bigger: 22 or f?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 5 + 21)*(-j + 0*j + 0*j).\nAnswer: -15*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 3*t**2 - 15*t + 7. Does 11 divide u(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 2. Suppose -3*p + 22 = 2*j, -3*p = -2*p - 2*j + 6. Suppose x + p*m = -m + 35, 4*m - 20 = 0. Calculate the remainder when x is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 24 + 5?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4102 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/40 of a kilogram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -106*u + 2172. What is w(21)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4152 in 16, 3, -0.1, -15, 0.4?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204*w - 15 = 5*p + 207*w, 0 = -4*p - 5*w - 25. Sort -1, 5, 4, p in ascending order.\nAnswer: -1, p, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a - 15. Let c be i(7). Let u be (-2 - 0) + (-1 - 4). Let b = c + u. What is b rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1939532, -1, 13 in descending order.\nAnswer: 1939532, 13, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5935 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -3*s - 3*a + 129, a = -3*s + 126. Suppose s*n = 36*n + 200. What are the prime factors of 6\/(-10) - (-984)\/n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4164 (base 7) to base 14.\nAnswer: 76b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -108 - -107.99802. Round n to 4 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37192 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 841 is divided by 65?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.31 + -0.01. Let m = -70112 - -350562\/5. Which is the nearest to 1\/7? (a) 5 (b) y (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -6. Suppose h = 2*s - 10 - 6. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10291 and 22590.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -5091000 to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -42) + (44 - 13 - 48).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/2)\/((-11)\/(-88) + -1 + 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 307502?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2280*y - 2239*y - 492 = 0 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 1:58 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 10:55 PM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68 - ((126 - 104) + 1).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1112)\/(-376) + -3)\/1.\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*h + 29*h = 5*j - 150, 3*j = -h + 41. Solve -h = 14*t - 7*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -7 + 4331*s + 16 - 4364*s. Let b(a) = -8*a + 2. Determine -9*b(x) + 2*n(x).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*z + 22*z + 215. Suppose l - 355 = -z. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0361 and -7653101.\nAnswer: -7653101.0361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-42)\/(-7)*10\/6. Let o = 7 - p. Let z = 16 - o. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1600015010.\nAnswer: 2, 5, 11, 17, 23, 37201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1293, -8, 1 in increasing order.\nAnswer: -1293, -8, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {o: 1, a: 1, y: 1, s: 3, i: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -667, -1320, -1961, -2590, -3207, -3812?\nAnswer: -4405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 3*m - 8. Let c(j) be the first derivative of -j**3\/3 + 3*j**2\/2 + 18*j - 6. Calculate the least common multiple of c(5) and k(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 - 4877688*h + 1486990014084.\nAnswer: 4*(h - 609711)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven tenths of a milligram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -54.558\nAnswer: 54.558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 2:06 PM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53 + -51. Suppose -a*l - 75 = -5*l. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 5, 0, -6 in increasing order.\nAnswer: -6, 0, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 17*p - 5. Let z be j(-7). Let l = 65 - z. What is x in 9*x**2 - 24*x**2 + 18*x**2 - 12 - 3*x**3 + 12*x + l*x**3 = 0?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 + (-1 - -77) + -19 + (-20 - -40)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.7519ml to litres.\nAnswer: 0.0087519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 550535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -141*c*m**3 + c*m + 3*m**3 - 29*m + 4 wrt m.\nAnswer: -846*c*m + 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -i**4\/4 - 2*i**3 - 3*i**2\/2 + 6*i - 1. Suppose -2*g = -2*s + 3*g + 55, 26 = s - 2*g. Suppose 0*o - s = 4*o. What is h(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*k + 41*k - 6*k)*((0*k**3 + 0*k**3 + 3*k**3)*(k + k + 0*k) + 7*k**4 - 3*k**4 - 2*k**4).\nAnswer: 296*k**5 - 8*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175332*r - 87707*r - 87643*r.\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.35549619 to 4 dps.\nAnswer: -0.3555","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(133) - ((sqrt(133)*4 + sqrt(133))*6 + sqrt(133))) + sqrt(133))\/(sqrt(4032)\/sqrt(9)))**2.\nAnswer: 15979\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -7*p - 4*u + 6, 3*p + 2*u - 13 = 0. Suppose -p*h - 6*h = -4961. What are the prime factors of h?\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/14*(1699 - 19)\/(-30)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (138 + 22)\/40 + (-40)\/35.\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {k: 11, x: 1}?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.58925 - 3.9881. Let a = i - 4.6. What is a rounded to 4 decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + 22. Let s be (l\/(-3))\/((-20)\/6). What is the biggest value in s, -1\/4, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - (0 + -6)) + 28 + 0.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 11:06 PM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12231975 a multiple of 483?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - z + 12 = 0, -4*p + 2*p + 4*z = 24 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -102 + -406101?\nAnswer: -406203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-908)\/(-6))\/(((-20)\/15)\/(-2)). Let g be ((-424)\/64*4)\/((-2)\/156). Suppose 224*u + g = k*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 89340340 and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -55*k**3 - 90*k - 10. Let l(q) = -q**3 - 2*q + 1. Let h(c) = -4*j(c) + 180*l(c). Differentiate h(w) with respect to w.\nAnswer: 120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 36 - 606. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1554 divided by -6.\nAnswer: -259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 3*m**2 + 72 - 4*m + 4*m.\nAnswer: 3*m**2 + 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1153374 = 31*g - 32832763. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 3*d**2 + (176*d - 968*d - 237*d)*(-1 + 3*d + 1).\nAnswer: -3084*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 1 (c) 16 (d) -681.95\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -o + 1, -3*h = -2*o + 21 + 9. What is the highest common factor of o and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5732.04 times 0.2\nAnswer: 1146.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2 + 1176*i - 22932.\nAnswer: -4*(i - 273)*(i - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 14297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + o + 64 = -3*o, 0 = -a - o + 24. What is the remainder when 72 is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3334101 is divided by 4061?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 - 38*f - 60.\nAnswer: 2*(f - 5)*(f + 2)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/228 and -65\/4?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.4, 0.5, -2831?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 3.6. What is the nearest to -0.1 in u, 2, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-13 + 2 - -8) - -7?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18.3 - -17.9. Put o, 1\/4, 42 in ascending order.\nAnswer: o, 1\/4, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*y**2 + 4*y**2 - 22*y + 6*y**2 + 7*y**2.\nAnswer: 2*y**2 - 22*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 11*t - 171. Suppose t = 2*l + 23. Let f(p) = -p**3 + 13*p**2 + 13*p + 19. Let r be f(14). Which is the closest to l? (a) -7 (b) 3\/7 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44 + -30. Suppose 27 = 5*p - a, -5*p + 35 = -0*a - 5*a. Calculate the remainder when h is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -30936571?\nAnswer: -2\/30936571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (3 + (-222)\/24)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9567 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -4*s + 11. Let k = 46 + -51. Is j(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**(-2\/9))**(-42)*((p**(-1\/2)\/p)\/p)\/((p\/p**(2\/59))\/p) assuming p is positive.\nAnswer: p**(-33913\/354)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4 - 21\/(-6)) + 715712\/(-240832)?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26081554 a multiple of 233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38300916 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2894 divide 1755335442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-660)\/(-1716) - 10560\/(-260).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1710091 divided by -177?\nAnswer: 1710091\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1535*y + 194*y + 28161 = 0 for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 101111011101001100 (base 2) in base 7?\nAnswer: 1436464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2039925956?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*416\/(10 - 42)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 6*x + 2*x = 18, -3*a - x - 11 = 0. Let b = 4 + -4. Put 3, b, a in increasing order.\nAnswer: a, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1846 - 1846 - 14*p)*(160 - 290 + 81 + 990 + 512) as i + b*p and give b.\nAnswer: -20342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -87*p + 162. Let w be k(-8). Calculate the highest common factor of w and 132.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 10:33 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7945 + 7945 - 3*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*g - 157570*g**2 + 49967*g**2 + 14*g - 28*g + 5*g**3.\nAnswer: 5*g**3 - 107603*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 2*d + 13, -6*d + 2*d = -8. Suppose -m*y = -7*y + 96. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 - 23. Let u = 24 + -24.1. What is the closest to u in i, -1\/5, -3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((j\/j**(-2\/3))\/j)\/j)\/j)**(-18\/11))**(-2\/131)\/((j*(j**(1\/4)\/j)\/j)**(-50)\/(j**(1\/4)*j)**(8\/3)) assuming j is positive.\nAnswer: j**(-295693\/8646)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - 8*v + 3. Let u be g(-8). Is (2\/u*1823)\/((-126)\/(-189)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2917, -268, -5575, -13004?\nAnswer: -22555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -938 + 735 + (7 - -82)?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*s = -60, -3*o + 2*s + 3 + 42 = 0. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((-1)\/(-2))\/(4\/(-20)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/744 and -7\/465.\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61465 is divided by 11031.\nAnswer: 6310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3138? (a) 0 (b) -0.2 (c) 5\/4 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1000 + -1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 + 60*t.\nAnswer: 4*t*(t + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*s - 5993 = -87*s + 2961 for s.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38190 and 1425.\nAnswer: 190950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -824 * 6958.4.\nAnswer: -5733721.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 31547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 265 - 498. Let g = 231 + j. Put g, 5, 3\/4 in decreasing order.\nAnswer: 5, 3\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12165 - -351?\nAnswer: 12536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25481 - 177705\/7. Let b = u + -95. What is the common denominator of b and -17\/11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1\/k*k*k**3*k)\/(k*k*k**0\/k*k*k)**39 assuming k is positive.\nAnswer: k**(-112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 6 + 3, -4*v - 14 = g. Let m = 3 + g. Let s = -20 - -16. Is m smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*63*(-208)\/(-45864)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 605472 and 9576729.\nAnswer: 2703","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 130728 and 228?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**2*g)**(-2\/39) assuming g is positive.\nAnswer: g**(-2\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 - 70 + 34 + 2143*u**2 - 2139*u**2.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - g**2 + 0)*(-32 + 5 - 7 + (-3 + 3 + 3)*(-4 + 2 - 1))*(2 - 4 + g**2 + 4) as l*g + n*g**3 + c + m*g**2 + q*g**4 and give q.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 1 = 1. Suppose 5*d + 262 = -b - 28, o = b + 3*d + 294. Let s = b - -481. What are the prime factors of s?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 41, 111, 235, 431, 717?\nAnswer: 1111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (8 - -1))*(-2)\/(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, z: 1}. Give prob of sequence vz.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 10) to base 16.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2540.946 + 2539. Let l = -3.1 + 3.154. Let x = n - l. Which is the nearest to x? (a) -4 (b) 2\/5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (65 - -20) - (10 + -11) - 6.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**2 - 3*l**2 - l**2)*(34*l - 32*l + 15 + 8).\nAnswer: -2*l**3 - 23*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -16 and 5.8430467.\nAnswer: -10.1569533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -d**6\/10 - 573*d**5\/20 - 3024*d**4 - 124928*d**3 + 393216*d**2 + 763*d. Solve j(t) = 0 for t.\nAnswer: -64, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23081 is divided by 296?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 n when three letters picked without replacement from fsronon.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -134313 and -134312 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.04488670433 and 35.\nAnswer: 34.95511329567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 527408 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/21*1)\/1.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 1)*(4 + 12 - 4)*(644*h + 1435*h + 2017*h - 417*h) as y + b*h and give b.\nAnswer: 44148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 6:45 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -5 + 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0931 to 2 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 252045377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 10, m: 2}. What is prob of picking 3 k and 1 m?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94 = 19*j + 20 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-8) - (-12)\/(-16). Let d be v + -4 + (-47)\/(-5). Which is smaller: 4 or d?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1000051487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 17*f - 12*f. Suppose 0 = -6*k + 15 - f. Let l = -1 + 1. Which is the nearest to k? (a) 5 (b) 0.4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + 6 + 25*p + 9 as m*p + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 + -24. Let g = 18 + x. Solve 5 = 5*p + g for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 4*i - 9. Let g be 0\/(-1 - -4) - 1. Let r = g - -6. Is y(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*m = 14*m - 123*m + 26*m + 2353 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.2 - -2. Let d = 61 - 243\/4. Let w be (2\/(-14))\/((-2)\/7). Which is the nearest to w? (a) q (b) -2\/9 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18.00000046 + -18. What is z rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 divided by 1?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 256072 (base 10) in base 14?\nAnswer: 6946c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -74080, -74088, -74098, -74110, -74124?\n\"Answer: -g**2 - 5*g - 74074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30193470 and 4025796?\nAnswer: 60386940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 5. Let t be ((-16)\/12)\/(0 - -2). What is the biggest value in t, 3, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3271 divided by 123545.\nAnswer: 3271\/123545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -607087 (base 11) in base 6?\nAnswer: -32525114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38429*k + 19440*k + 18989*k + 85*k**2.\nAnswer: 85*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 - 2027349*u - 2027350.\nAnswer: (u - 2027350)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 102\/(-136)*32\/4*4?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 18590 divided by 3718\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244 is divided by 50.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111010100 (base 2) to base 14.\nAnswer: -256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 130*u**3 + 8*u**2 + 17*u - 7. Let i be l(7). Suppose -6*v - 8*v = -i. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2. Let p(n) be the second derivative of -127*n**4\/12 - 172*n. Give b(p(m)).\nAnswer: 16129*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*j - 4*g + 2*g, 0 = -2*g. Suppose -6*r = -j*r - 6828. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**3 - 332*o**2 - 330*o - 14. Determine p(-165).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*z - 7350 = 148*z for z.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 6*z - 2*h + 8 = 0, -z + 4*h + 11 = 0. Let v = z - -2. Suppose 0 = -v*f + 2*y - 0*y + 47, 5*y - 20 = 0. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 54*h**2 + 58*h + 41. Is z(26) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = v - 4, -4*v - 5 = -2*s - 21. Suppose 0*g - 12 = v*g. What are the prime factors of (2\/g)\/(4\/(-66))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 14571\/63 + 2\/(-7). What is the third derivative of -2*s**2 + 46*s**6 + 103 - h + 115 - 2*s**4 wrt s?\nAnswer: 5520*s**3 - 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n - 10 - 8. Let h be (0 + 2 - n) + (-2 - 1). Calculate the remainder when 2\/20*786 - h\/10 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from {d: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 163*z + 61. Let u(h) = -7*h**2 - 11*h**2 + 71*h**2 - 52*h**2. Determine i(u(q)).\nAnswer: 163*q**2 + 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 797771.5 to the nearest ten thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -364?\nAnswer: -360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*a**2 - 13363983*a**3 + 53 - 51*a**2 + 13363973*a**3.\nAnswer: -10*a**3 + 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 589.0731 litres in millilitres?\nAnswer: 589073.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 145 - 0?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25\/422548 or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (200\/16)\/5*(-36)\/(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (295*v - v + 320*v)*(811 + 5*v - 403 - 412) to n*v + y + q*v**2 and give n.\nAnswer: -2456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50.93 - 53. Let z = 0.07 + i. Sort z, 0.3, -1\/3 in descending order.\nAnswer: 0.3, -1\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*z + 9, 0 = 3*s - 2*z + 9. Which is smaller: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11141820*k**2 + 11141835*k**2 - 22283654*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 y when three letters picked without replacement from xyeeyyyyewm?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, -1\/5, -1\/2, -1\/17?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + y - 2*v - 85 = 0, -3*y = -4*v + 91. Let g = -28 - y. Solve -2*l - 1 = g for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 - 28 + 10*s)*(2*s - 7*s + 0*s).\nAnswer: -50*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (12 - 11))*(-1)\/10*2\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -164865714.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/197 or -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28416)\/(-80512))\/((-14)\/68)?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 8*n**2 - 10*n + 12. Let r be o(9). What is the lowest common multiple of 22 and 3 - (0 + (-51)\/r)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of j**5\/5 + 51*j**4\/4 - 281*j**3\/3 - 51*j**2\/2 + 280*j - 6476. What is x in i(x) = 0?\nAnswer: -56, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0280447567 rounded to 5 dps?\nAnswer: 0.02804","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 129*x**3*z**2 - 430973*x**3 + 1341*z**4 wrt z?\nAnswer: 258*x**3*z + 5364*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(504) - sqrt(504)*-3 - sqrt(504) - sqrt(14))\/(-5*sqrt(2)*-2).\nAnswer: 4 + 17*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3125 (base 11) to base 15.\nAnswer: -1361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8723245l to millilitres.\nAnswer: 872.3245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12771 is divided by 1277.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 14*t**2 + 383*t + 1011. Calculate x(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llcwjljtttltljjj. Give prob of sequence jlc.\nAnswer: 5\/672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 - -28. Suppose 4*j = -4*s - 18 + 78, -3*j - 20 = -v*s. Solve -2*z - 28 = -2*d + 2*z, 2*d - s = z for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 3*c + 3, 2*h + h = 2*c + 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -13. Let o(r) = -r**3 - 10*r**2 - 9*r + 2. Let y be o(-9). Find the third derivative of -2*k**5 + 0*k**m - 2*k**2 + 3*k**y wrt k.\nAnswer: -120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/93 greater than 82651?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 * 652.905\nAnswer: 39.1743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2336 = -702*l + 2578. What is the remainder when (-2 - 28)*(-20)\/8 is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (428\/(-35) - 43\/215) + (-6)\/(-14).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*t + 3158 = 69316. List the prime factors of t.\nAnswer: 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 b, and 1 j when four letters picked without replacement from mbmmbmmmmmmllllj.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1674)\/405 + 2\/15.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266*l + 36117 = -1573*l - 1786 for l.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(1088) + (6*(sqrt(1088) + 0) - sqrt(1088)) + sqrt(1088))**2 + 1 + 3)*3.\nAnswer: 159936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 + 172482*n - 7437510081.\nAnswer: -(n - 86241)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 93*f**2 - 37*f**2 - 295*f**2 - 189*f**2 + f to u + r*f + w*f**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**(-1\/5)\/x*x))**(1\/4)\/(x**(1\/4)*x*x*x*x**(6\/11)) assuming x is positive.\nAnswer: x**(-206\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 5*f**4\/12 + 65*f**3\/6 - 35*f**2 - 5*f + 79. Let o(j) be the first derivative of v(j). Factor o(i).\nAnswer: 5*(i - 1)*(i + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 + 48. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24609473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 - 76. Let y = -163 - t. Let h = -61 - y. What are the prime factors of h?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 + 53. Let i(v) = v**2 + 9*v + 2. Let x be i(-11). What is the remainder when ((-35)\/3)\/((-4)\/x) is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*f + 2*f**2 - 3 - 16*f + 3 as k*f + v*f**2 + i and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*p**5 + 22*p**4 - 3*p**2 - p - 164289.\nAnswer: -1260*p**2 + 528*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -14303 (base 5) to base 15\nAnswer: -553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2 - x**3 + 3 + 215*x + x**3 - 33405*x**4 + 32777*x**4 wrt x?\nAnswer: -7536*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*y + 47. Let z be 2\/y + (-8)\/96. Which is the nearest to -4? (a) -0.3 (b) z (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n + j - 7 = -2*n + 10*n, 42*n - 5*j = -67 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -291 (base 14) in base 11?\nAnswer: -432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -9, -0.5, -0.3, 6\/475, -2\/7 in descending order.\nAnswer: 2, 6\/475, -2\/7, -0.3, -0.5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/35, -2, 1\/7, 3 in decreasing order.\nAnswer: 3, 1\/7, -6\/35, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 + -31. Suppose 40 + 137 = o*p. Is p a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10302 (base 4) in base 8?\nAnswer: -462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 4*r = 18, 4*w + r - 4 = -r. Suppose -3*q + 43 = -w. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 4*t**2 - 2*t. Let y(f) = -f - 9. Let i be y(-5). Let b be w(i). Suppose j = b + 13. Is j a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 10. Let a = v - -10. Let k be 5\/(2\/(0 + 2)). Solve k*j - a*j - 17 = -t, 2*j - t = 3 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -619\/8 smaller than -77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of 2*o**3\/3 + o**2\/2 + o. Suppose -4*h + h - 15 = 4*m, -4*m = 4*h + 16. Let p be (-3 - -2)*(-2 + (h - -2)). Determine a(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 8, -5*r + 3*i + i = -18. Let d be 0*(-3 + r) + 3. Let p(l) = -103 + d*l - l + 104. Determine p(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 15 = -20. Let q be (0 - (-10)\/f) + -2. Suppose 0 = 2*k + o - 4, k - 3*o = -q*k + 2. What is the remainder when 2 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*l - 15*l + 17331*l**3.\nAnswer: 17331*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -160 divided by 42746\nAnswer: -80\/21373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 6:45 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -20020 (base 3) in base 16?\nAnswer: -a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (23 - 23 + 7*k)*(2 - 9 - 4) + 5*k - k - 5*k + (2 + 0 - 1)*(-6*k + 2*k + 2*k) to a + s*k and give s.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**(-5)*k)*k)\/(k**(1\/3)\/k))**(-24) assuming k is positive.\nAnswer: k**104","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3081, 6544, 10389, 14616?\n\"Answer: 191*h**2 + 2890*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*h = 42488, -3*s + 6*s - 31859 = 4*h. What are the prime factors of s?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 5) to base 14.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12aa (base 16) in base 12?\nAnswer: 2922","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 28 = -3*j - 2*v, -2 = v. Suppose 26 = 2*m + 3*c, 2*m - j*c - 42 = -c. Is (-71)\/(-3) + m\/(-24) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 13*f**2 - 36*f - 29. Let p be t(8). Solve 4*c + 5 = -p*u, -22 = 5*c + 5*u - 17 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/159 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 36 - 164 = 0. Calculate the lowest common multiple of 25 and j.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -228 - -232. Suppose -3*z - 2396 = -3*i + z, -q*i = -2*z - 3178. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39923 (base 11) to base 3\nAnswer: 2220012201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1001 - 100?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7250125?\nAnswer: 5, 31, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 8:07 PM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.198 + 0.02611222552?\nAnswer: 0.22411222552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 0*h + 715 = 2*g, -2*h = -5*g + 1756. List the prime factors of g.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = 5*n - 3*z - 25, n + 25 = 5*z. Let y(b) be the third derivative of n*b**3 + 0*b**4 + 1\/30*b**5 + 0 + 0*b - 3*b**2. Let a(d) = -d. Give y(a(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 36 = -4*l, -482 + 490 = 2*t - l for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2323599 a multiple of 537?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 21*f - 62. Let b be v(3). Let c be -21 + (-2 - (b - 6)). Which is bigger: -6 or c?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390267 is divided by 44.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-35)\/14*(-12)\/(-10). Sort 2, r, 3, -1 in increasing order.\nAnswer: r, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6*(14\/(-6) + (13 - 12)). Let g be 4\/r*2*-3 - -4. Are g and 5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*b)*(29 + 5 + 17)*(-b + 2*b - 2*b)*(55*b**3 - 870*b**3 - 105*b**3).\nAnswer: -93840*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -10, -3*v = 5*p + 4 + 9. Solve 20 = v*n + 8 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*v**2 - v**2 - 3*v**2 + (4 - 2 - 3)*(-2*v**2 + 2*v**2 - v**2) - 1131*v - 30*v**2 + 1131*v in the form z*v + g + f*v**2 and give f.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/9)\/(10\/(-2))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*4*(sqrt(171) + -3) + (-2 + sqrt(684) + -3)*-5)**2.\nAnswer: -11388*sqrt(19) + 120925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vuccvlvuv. Give prob of picking 2 u.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 0 = i + 24, -i - 4 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*u**2 - 4*u**2 + 28*u**2 - 127*u**2.\nAnswer: -165*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbbebbegbbbbb. Give prob of sequence eg.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 602397505?\nAnswer: 5, 139, 866759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0188 - 50987.47.\nAnswer: -50987.4888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -124*t**2 + 223*t + 477. Let p(j) = 198*j**2 - 334*j - 716. Let q(z) = 8*a(z) + 5*p(z). Determine x so that q(x) = 0.\nAnswer: -2, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z**4 + 22620*z**3 - 15491625*z**2 + 2487641500*z - 2472172500 = 0. Calculate z.\nAnswer: -5145, 1, 310","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -183 + 67. Suppose -r = -5*c + 4*u, c - 4*u = -0*u + 9. Let z(g) = g**2 - 3*g - 1. Calculate z(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 5*y**2 - 4620*y + 764640 = 0.\nAnswer: 216, 708","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s - 3*s - 10 + 2 - 5 + 21 + 1.\nAnswer: -3*s + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*a - 8 = 0, 3*g + 2*a + 14 = -0*a. Put -2, g, 4 in decreasing order.\nAnswer: 4, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/218)\/((-8)\/(-2)*1095\/(-2920)).\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 1 + 34*a**3 - 1 - 2.\nAnswer: 34*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5758\/7 - -825. Let x(b) = b**3. Let f(q) = 5*q**3 + 6*q**2 - 3*q + 12. Let l(o) = -f(o) + 4*x(o). What is the common denominator of l(-6) and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37944407, -37944409, -37944413, -37944419, -37944427, -37944437, -37944449?\nAnswer: -37944463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 37132 + 230316 = 7*x. What is the thousands digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 558516 to the nearest integer?\nAnswer: 747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(49)\/sqrt(847).\nAnswer: -5 + sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5356, 5864, 6656, 7738, 9116, 10796, 12784?\n\"Answer: y**3 + 136*y**2 + 93*y + 5126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21386 and 1735670?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 759 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3*r = 23, -2*r - 3 - 3 = -j. Let f(l) = j + 1 - 4 + 32*l**2 + l + 1. Is f(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of 1\/25*m**6 + 32\/15*m**3 + 1\/10*m**5 - 9\/10*m**4 + 0 - 12\/5*m**2 - 1\/105*m**7 + 29*m. Let p(j) = 0. Calculate j.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -707*i**2 + 1. Let b(l) = -2*l**2 - 582. Determine b(u(c)).\nAnswer: -999698*c**4 + 2828*c**2 - 584","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3 = -6. Suppose -2*z = -j - s - 4, -5*j + 40 = 5*z. Suppose j*i + 22 = -y + 2*y, 3*i + 50 = 5*y. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21697 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r - 32. Let c = 6205 - 6198. Determine m(c).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(5 + -1) + 42388572. Let o = -18488572 + g. Round o to the nearest 1000000.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20466 = -1306*a + 169*a for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -135 - -174. Calculate the smallest common multiple of 91 and f.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 7*r + 5 = 46, -5*r - 35 = -4*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 8*t - 222. Let w = 83 + t. Sort -4, w, 1.\nAnswer: -4, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 505555.\nAnswer: 5, 101111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.02 and -17568075.\nAnswer: -17568074.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 160213047?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3184048 is divided by 1258.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -p - 1\/150*p**5 + 0 - 1\/15*p**3 - 1\/30*p**4 - 3\/2*p**2. Let y(t) be the first derivative of a(t). Factor y(m).\nAnswer: -2*(m + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -40 (b) 0.4 (c) 6 (d) -35 (e) -72 (f) 20 (g) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g*g**(-2\/3))\/g)**(1\/15)\/(g\/(((g*g**(1\/4))\/g)\/g))**(-25) assuming g is positive.\nAnswer: g**(7879\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 1 + 0)*(-2 - 1 + 2) + 14 - 4 + 4 + 2 + 0 - 5)*(-3*r**2 + r**2 + 0*r**2) in the form u*r**2 + w + o*r and give u.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 0.3, 9.8, 4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/70)\/(170\/325) + (-2)\/17.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 218*d - 6971. Let m be q(32). Solve -15*i + 10*i - 30 = m*r, -4*i - 2*r - 14 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/660 and -113\/1100.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (((-12)\/(-9))\/((-2)\/(-6)))\/2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -502411543 - -4?\nAnswer: -502411536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006122 to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3976686 and 252?\nAnswer: 7953372","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 6 - 5)*(2*w + 0*w - w)*(w**3 - w**3 - 3*w**3) in the form a*w**3 + n + q*w**2 + o*w**4 + r*w and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 32221904.\nAnswer: -64443808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -12*(-5)\/2*36\/45 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 16) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kkkskkkkkskkk.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + -19. Which is smaller: 5 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -12*y**2. Let u(s) = -779*s**2. Calculate n(u(q)).\nAnswer: -7282092*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 11:01 PM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 7) to base 9\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 6 + 2 - (0 - (3 + -4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46.2, 2\/3, -0.1 in increasing order.\nAnswer: -0.1, 2\/3, 46.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23260974?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*j - 1 - 108*j - 113*j + 312*j.\nAnswer: -15*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 62*k**2 - 10*k - 12. Let o(v) = 31*v**2 - 5*v - 6. Let z(y) = -4*d(y) + 7*o(y). What is the second derivative of z(i) wrt i?\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - ((-8)\/2 + -1216). Suppose -v = 4*v + d - 3071, 2*v - c = 5*d. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**4 - t**4 - t**5 + (-t**3 - t**3 + 4*t**3)*(-2*t**2 + 0*t**2 - 2*t**2) + (-4*t + 0*t + 3*t)*(3327*t - 3327*t + 47*t**4).\nAnswer: -56*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -6*r + 4*h, 26*r - 28*r - 4*h - 14 = 0. Calculate the greatest common factor of 104 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40 + 50. Put m, 2, 5 in decreasing order.\nAnswer: m, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 119*n**2 + 330*n + 3423. What is the thousands digit of w(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h**4 + 0*h**2 + 0*h**2 + (-30*h**2 - 638*h + 638*h)*(3*h + 6 - 6)*(0*h + 4*h - h) to u + i*h + x*h**2 + k*h**4 + g*h**3 and give k.\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 22*n - 35 - 32*n**2 + 12*n**3 + 36 - 3*n**3. Let g(o) = -4*o**3 + 16*o**2 - 11*o - 1. Let r(u) = -5*g(u) - 3*v(u). Factor r(q).\nAnswer: -(q - 1)**2*(7*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 2*x + 24, -m = -477*x + 472*x - 34. Solve 0 = m*t + 7*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9 or -0.555576?\nAnswer: -0.555576","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -148 - -8?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 328270273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 33934 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 229647?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -10 - 11*f + 22 - 12. Let j(l) = -18*l. Calculate o(j(u)).\nAnswer: 198*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - -2. Let n(m) = m - 4. Let u be n(y). Let a be (14 - u)\/((-10)\/(-5)). Sort 3, a, -8 in increasing order.\nAnswer: -8, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mqqwmwqpnqmn. Give prob of picking 1 w and 1 n.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 562 + -136. Which is bigger: -0.1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5199171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (72*a**3 + 1677*a**3 + 32*a - 32*a)*(19*a - 10 + 10) as q*a + r*a**4 + j + y*a**2 + k*a**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3241346572.\nAnswer: 2, 19, 42649297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*z - 87 = 5 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (21 - (-322 - -451)) + 9 + -1\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3 = -c, -3 = -2*f - 9. Solve -9 = 4*p + c for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -916 by -2.\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-9) - (16\/120)\/(6\/415)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -233773\/4 - -58444. Let i = 3 + -1. Which is the nearest to 1\/33? (a) 1 (b) y (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -11 + 8 - -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.943 + -3.143. What is the closest to n in -0.4, 80, -2, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + (-3)\/2 + 0. Let c = -2209\/10 + 1107\/5. Factor c*m + 0 - b*m**2.\nAnswer: -m*(m - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -40*g**2*k**2 - 6806*g**2*k + 158585*k**2 wrt g?\nAnswer: -80*g*k**2 - 13612*g*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199*a = 195*a + 112. Suppose -35*x = -a*x - 42. What is the smallest common multiple of 148 and x?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -4. Let z = -1.4 - 7.6. Let s = z + 10. Which is the third smallest value? (a) -2 (b) g (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 4*r**2 + 8*r + 10. Let x be h(6). Let g(w) = -w - 2 - 132*w**3 - x*w**3 + 261*w**3. Give g(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -85 * -0.106.\nAnswer: 9.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47087606.\nAnswer: 2, 37, 636319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -9, -42, -3, -29, 0 in decreasing order.\nAnswer: 0, -3, -6, -9, -29, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**4 + 5050*w**3 - 714544*w**2 + 24608928*w = 0.\nAnswer: -2661, 0, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, p: 3, d: 3, k: 1, i: 6, u: 3}. Give prob of picking 1 p, 1 i, and 1 u.\nAnswer: 27\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 = 24*f - 28*f - 3*u, 4*f + u - 139 = 0. What is the highest common divisor of 84 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 12\/13 (b) -0.5 (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6*j**2 + 2\/3*j + 0.\nAnswer: j*(j + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7 - (-1)\/((-3)\/6). Suppose 5*d + n - 7 = 4*d, s*d = 5*n + 5. Solve h + 2 = d for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, -0.5, -2\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -114 divided by -27\nAnswer: 38\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**9\/(g*g*g**(15\/8)))**(13\/2) assuming g is positive.\nAnswer: g**(533\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, j: 6}. Give prob of sequence xjx.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/((1\/(-89))\/(-1)) is divided by 3\/33 + (-26)\/((-5720)\/4820).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.16009 and -5.\nAnswer: -4.83991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**3 - l**3 + l**3)*(2 - 1 + 1) + (-23*l + 41*l + 7 - 31*l)*(5*l**2 + 2*l**2 - 6*l**2).\nAnswer: -9*l**3 + 7*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1649, -3298, -4957, -6632, -8329, -10054?\n\"Answer: -y**3 + y**2 - 1645*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7822*w - 7823*w + 1, -3*w - 17 = 5*p. Let i(l) = -2*l**2 + 4*l + 6. Let b(f) = -3*f**2 + 4*f + 7. Let y(o) = -3*b(o) + 4*i(o). Determine y(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*a = 19*a - 936. Let m be (-28)\/(-8) + (a\/12)\/13. Determine p, given that p**2 + 3*p**4 + 11\/2*p**m - 6*p + 1\/2*p**5 - 4 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (308\/(-21))\/((-2)\/24). Let c be 167\/11 + (-32)\/w. Let l be (-10)\/c*(14 + 4). Which is smaller: l or -11?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 537343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w - 4. Let f(j) = j**3 - 6*j**2 + 4*j + 1. Suppose -5*p + 5*b - 7 + 42 = 0, -4*b + 17 = 5*p. Let a be f(p). Give u(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*h + 16*h = -24. Let n be (-99)\/88*h\/477. Is n < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -303 or -11545\/38?\nAnswer: -303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + 3*l - 13. Let c(d) = -d**2 + 3*d - 14. Let k(h) = -2*c(h) + 3*o(h). Let a be k(11). Let m = -50 - a. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2073901\/261 + -7946. Calculate the common denominator of 149\/174 and x.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(1620) + -2*(1*sqrt(1620) + sqrt(1620)))\/(sqrt(18)\/(2*sqrt(2)*-4 + sqrt(2))))**2.\nAnswer: 504*sqrt(5) + 79384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 53, 2, -0.01 in increasing order.\nAnswer: -0.01, 2\/13, 2, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 5728\/146951 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 396 and 1832820.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -6 - -4) + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 15473396.\nAnswer: 7736698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -4*a**2 - a. Let i be k(1). Sort -7, 5, i in increasing order.\nAnswer: -7, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y + y + y - 3*y. Let a(w) = -215*w**2. Determine c(a(d)).\nAnswer: 860*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.09 + 0.1. Let u = w - -0.01. Sort -2\/5, 1, u in descending order.\nAnswer: 1, u, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + z = -10. Suppose -z*h = -6, 3*h - 1 = o + 1. Let p = o - 4. Solve -p*f - 19 = -5*d, 0*f - d - 10 = 4*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**4 - m**4 + 9178*m**5 + 0*m**4 - 9374*m**5 - 212*m**2 wrt m?\nAnswer: -11760*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) - (sqrt(15) - (1*sqrt(375) + sqrt(375))) - (sqrt(15) - (1*(sqrt(135) + sqrt(15) + sqrt(15)) - sqrt(15))))\/(sqrt(500)*2*-4))**2.\nAnswer: 507\/6400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12514535 - 10?\nAnswer: 12514525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 370048756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 2, 995, 0.003 in decreasing order.\nAnswer: 995, 7, 2, 0.003","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -5*v - 8. Let t be x(-3). Suppose 4*d + 0*a = 5*a + 11, -4*d + 2*a + 14 = 0. Suppose d*j = 4 + 8. Solve n = 3, -t*h + 2*n + 6 = -j*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**2 + 4*l**2 + l**3 + (2 + 0 - 1)*(2*l**3 - 4 + 4) - 16*l**3 + 19*l**3 + 10*l**3 - l**3 + 0*l**3 + 0*l**3.\nAnswer: 15*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10902.5 * 1664\nAnswer: 18141760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*b**4 + 2*b**3 + 689*b?\nAnswer: -156*b**2 + 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 4252*f**4\/3 - 106294*f**3\/3 + 293338*f**2 - 803214*f - 1134 = 0.\nAnswer: -3\/2126, 7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 735511349?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -6 - (13 - 4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 992 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 652*305\nAnswer: 198860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*r - 0, 2*p - 11 = 5*r. Is 8 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 64\/8*(-3)\/2. Let p(t) = t**3 + 12*t**2 - 7*t - 22. What is the units digit of p(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*f - 40*f + 4 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 14.98. Let u = z + 0.58. What is the second smallest value in 3, u, 0.5, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 210*c**2. Let u(l) = 2*l. What is u(m(i))?\nAnswer: 420*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-3\/2)\/m*m**11*(m**(-2)\/m)**(-21) assuming m is positive.\nAnswer: m**(145\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 738 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 2:02 AM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*p + 5 + 19*p - 14*p)*(-p + 2*p - 3 + p).\nAnswer: -40*p**2 + 70*p - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 19 = -4*h - 8, 0 = 3*h - 9. Let v be (1\/2)\/((r\/34)\/1). Solve b = 4*g - v, 6*b - 3*g + 34 = b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - (3 + 1)) + -3 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 4*c**2 - c - 1. Let u be j(-3). Let r be 6\/(-651)*1\/u. Let f = 73977\/23870 - r. Find the common denominator of -49\/12 and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -3 (c) 1 (d) -13 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 99?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, p: 1, o: 1, t: 1, j: 3}. Give prob of picking 1 j and 1 t.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2*((2 + sqrt(27) - sqrt(3)) + sqrt(48)\/sqrt(4) + sqrt(18)\/(1*sqrt(150)) + -5))**2.\nAnswer: -504*sqrt(3)\/5 + 6242\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.06293 rounded to 2 dps?\nAnswer: -1.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1104820?\nAnswer: 2, 5, 37, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/30 and 822\/22320*5 + (-18)\/(-48)?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -64*i**2*o + 577*i**2 - 55*i*o - 1152 wrt o.\nAnswer: -64*i**2 - 55*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from svvsvsvsdvs. What is prob of picking 4 s?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 equal to -15116\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000104106247 to seven dps.\nAnswer: -0.0000104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-118)\/70 - 5\/((-35)\/2)\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 476 + 1ea6?\nAnswer: 242c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 6406*v**2 + 1. Let i(t) = -2*t - 273. Calculate i(q(a)).\nAnswer: -12812*a**2 - 275","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -731 and -179055623.\nAnswer: -179056354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 41*j**2 + 43*j + 94. Let t be z(-42). Sort 1, 4, 5, t in increasing order.\nAnswer: 1, 4, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 16*h**2. Let s be f(16). Suppose 4*u + 3*q + 11745 = s, u + 4*q + 1246 = -1700. Is ((-4)\/6)\/(12\/u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2 + 3 + v + 4. Let d be n(4). Suppose 47*r - 386 = -198. Solve -r*m + 7*m = d for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of 4*z + 5\/2*z**2 + 2 + 1\/3*z**3. Let y be x(-4). Solve -4*n + 3*n - 5 = y for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p**2 + 5*p**2 - 2 + 0*p**2.\nAnswer: -p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*s - 19*s - 806*s**2 + 27*s to z*s + c + b*s**2 and give b.\nAnswer: -806","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - ((0 - 0) + -4). Suppose -o*f = -f - 12. Find the third derivative of 2*p**2 - 9*p**3 + f*p**3 + 7*p**2 wrt p.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 1288*g - 6. Let m(i) = 2*i**2 + 28*i. Determine x(m(n)).\nAnswer: 2576*n**2 + 36064*n - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.1 - 0.9. Which is the closest to h? (a) -0.3 (b) 1.2 (c) 4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 9 = f. Let o(k) = 10*k**2 - 2 + k**f + 3*k + 0 - 4. Is o(-8) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, t: 4, y: 1, d: 1, w: 4, m: 1}. What is prob of picking 1 w, 1 y, and 1 i?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 261, 185, 109, 33, -43, -119?\n\"Answer: -76*d + 337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 4*z + 4. Let s be n(-4). Suppose 0 = -s*a + 18 + 74. Is a a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -117 divided by -10\nAnswer: 117\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(-1) - -1*2. Let g be (2\/(-6))\/((-1)\/3). Suppose -v*w - g + 7 = 0. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -231, -388, -527, -648?\nAnswer: -751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 24*z**2 - 40*z + 123. Give l(-22).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*b**2 - 47*b**2 - 20*b**2 as k*b + q + t*b**2 and give t.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*j - 9, -32 = j + 5*p - 11. Let h(o) = -o. Let r be h(-2). Let k be (-1)\/3 - r\/j. Solve k = -4*b + 3*b + 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7462780289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*j = -54, 5*o - 5*j = 85 + 10. Suppose 12 = 2*g - 6. Calculate the remainder when o is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t - 72 = 4*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 4:08 PM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19871186 and 6410060?\nAnswer: 198711860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1344569, -2689115, -4033661?\n\"Answer: -1344546*y - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/3 - 146*a + 436\/3.\nAnswer: 2*(a - 218)*(a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -9*l**2 - 2*l - 6. Give u(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3729*q - 3732*q - 14*q**3 - 80*q**2 + 12*q**3 in the form o*q**3 + c*q + v*q**2 + g and give v.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-3) + 333\/27 + -11. Let v(m) = a + 3*m**2 + 49*m**2 - 10*m**2 + 16*m**2 - 1. Let p(z) = z**2. What is p(v(n))?\nAnswer: 3364*n**4 - 116*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -239*i**6\/6 - 1326*i**2 - 393. What is the second derivative of s(o) wrt o?\nAnswer: -4780*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 22\/8 - 2\/(-8). Let h = -3 + w. Suppose h = 3*x + x - 2*n - 46, 5*n + 25 = x. What is the greatest common divisor of x and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -15 + (7 - (-4 + 0)) + -10\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t + 2. Let c be n(-1). Suppose -5*d - 2*z - 27 = 2*z, 4*z = 5*d + 3. Put d, -4, c in decreasing order.\nAnswer: c, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**4)**(5\/7)*(s**(-9)\/s)**(5\/3) assuming s is positive.\nAnswer: s**(-290\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of 0*k**2 + 1\/12*k**4 + 8*k + 0 + 1\/3*k**3. What is the units digit of l(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of p**3\/3 - 2*p**2 - 4*p - 14. What is w(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 127*c**2 - 4*c - 7. Is h(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 54*x - 35*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 93, 32, -13, -2 in ascending order.\nAnswer: -15, -13, -2, 32, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of 23\/6*a**6 + 0*a**4 + 0*a**5 + 0*a**2 + a**3 + 26 + 0*a. What is the third derivative of k(j) wrt j?\nAnswer: 1380*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*n*z**3 + 14*n*z**2 + 4937*n - 9*z**3 wrt z.\nAnswer: 57*n*z**2 + 28*n*z - 27*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.4, 0.2, -88.\nAnswer: -88, -0.2, 0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6.5797 times 0.32\nAnswer: -2.105504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a minute in milliseconds?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24583, 24595, 24603, 24607, 24607?\nAnswer: 24603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1019\/(70\/88 - 48\/88)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 159334879, 318669761, 478004643?\n\"Answer: 159334882*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 265 + 320 = 0. Let s be (104\/m)\/((-2)\/(-9)). Solve -2*v = s*v - 18 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001432 rounded to 4 dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c + 14*c + 5 = 0. Find the second derivative of 109*b - 115*b + 10*b**c + 7*b**5 wrt b.\nAnswer: 340*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 9*w + 23. Let s be o(-5). Let f = -21 - s. What is the units digit of 8\/12*(27 + (4 - f))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u = 33*u - 209. Suppose 0 = -u*o + 48 - 15. Let t(n) = n**2 + n + 9. Let v be t(0). Solve 0 = -3*x - 2*y + v, 4*x + o*y - 12 = -1 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 48\/7 (b) -5 (c) -43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (72\/(-30))\/((-42)\/(-20)). Let u be (-1868)\/5 - 6\/15. Let w = 376 + u. What is the second smallest value in 0.3, n, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 278 - 297 - (3 + -22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10828 is divided by 676?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 4 + sqrt(3136)\/sqrt(7))**2.\nAnswer: 128*sqrt(7) + 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -300 by -25.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 757295 a multiple of 539?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103153?\nAnswer: 29, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*q**4 + 150*q + 56*q**4 + 68*q**4 + 22*q**4 wrt q?\nAnswer: 2052*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -t**5\/5 + 33*t**4 + t**3\/3 + 98*t**2 - 753. What is the third derivative of w(x) wrt x?\nAnswer: -24*x + 792","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -116*i**4 - i + 19*i**2 + 4*i - 7*i**2 + 34*i**4 + 2*i**6 wrt i?\nAnswer: 240*i**3 - 1968*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11988489 is divided by 284?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3094 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -72 + 61. Let g = c + 74. Calculate the lowest common multiple of 6 and g.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*-3157\nAnswer: 1894.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {f: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 7. Let o be f(-3). What is the tens digit of (-2096)\/(-36) + o\/(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 + -2571?\nAnswer: -2570.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -226*t**4*x + 3*t**4 - t**3*x + 86*t**3 + 12214*t**2*x - 3*t**2 + 7*t*x - 2*t - x wrt t.\nAnswer: -5424*t*x + 72*t - 6*x + 516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 9:08 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of 0*x - 3*x**2 - 1\/30*x**5 + 0*x**3 + 1\/12*x**4 + 0. Let u(b) = 0. Calculate b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1910 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 805 = -11*r. Let s = -145 + r. Let p(b) = -40*b. Let y be p(-1). Calculate the highest common factor of s and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -81*u**4 - 66*u**4 + 169*u**4 + (2 - 2 + 2*u)*(-1 + 1 + 3*u**2)*(0 + 0 - u).\nAnswer: 16*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a decade in years?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -4*z**7\/105 + 5*z**6\/6 - 28*z**5\/5 + 50*z**4\/3 - 64*z**3\/3 - 117*z**2. Determine b so that d(b) = 0.\nAnswer: 1\/2, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/1447 in -3, 28, 33, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 3*l = -15, 961 + 964 = 3*l + 1940 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2899629 or 16\/13?\nAnswer: 16\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.5 - 0.5. Let g = -11.5 + 11.4. Which is smaller: b or g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -124634067 - -805.172.\nAnswer: -124633261.828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -q**4\/4 - q**2\/2 + q - 3. Let p(m) = -3*m**3 + m + 2. Let d(k) = 2*j(k) - p(k). What is the second derivative of d(w) wrt w?\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**2 - 429*c + 640*c - 396*c - 34 as l*c + i + z*c**2 and give i.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2035*n - 2235*n - 448 + 448.\nAnswer: -4270*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2039 (base 12) to base 6.\nAnswer: -24113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i**5 + 516*i**4 - 16184*i**3 - 42184*i**2 + 802620*i + 828100 = 0. What is i?\nAnswer: -7, -1, 7, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003015902 rounded to 7 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-10))\/(8\/40). Let z(b) = 4*b**2 - i*b**2 + 2*b**2 - 3*b**2. Let u(q) be the third derivative of -q**4\/12 + q**2. What is u(z(o))?\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 1277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 413.\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 398790\/(-141120) + 20\/7.\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -2. Suppose -8 = -h - l*h. Suppose 0*a - h*a + 30 = 0. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/3 (b) 4 (c) 2 (d) 24 (e) -26853 (f) -0.1 (g) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/14544 and -95\/11892?\nAnswer: 14413104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -1\/2, -4.92, -0.06?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -10*k**2 - 7*k + 7. Let o(v) = 3*v**2 + 2*v - 2. Let a = -13 + 15. What is a*s(d) + 7*o(d)?\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67151, 67546, 67941, 68336, 68731, 69126?\nAnswer: 69521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p, 3*p = -31*z + 35*z - 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (-16 + (-26 - -48)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -11. Let b = -8 + q. Let x = -5 + 4. What is the second smallest value in 3\/7, b, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 260.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 5*m**2 - 3*m - 13. Let w be z(6). Suppose 19 = w*g - 1, 3*c = -4*g + 22. Factor h**2 - 2*h**2 - 2*h**2 + h + 4*h**c.\nAnswer: h*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -5*x**3 + 9*x**2 + 4*x. Let p(j) = 7*j**3 - 9*j**2 - 5*j + 1. Determine 2*p(h) + 3*v(h).\nAnswer: -h**3 + 9*h**2 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -8*c - 71. Let z be f(-9). What is the first derivative of -4*w**4 + 8 + w**4 + z + 97 wrt w?\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-36\nAnswer: 3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 377061402?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 3:58 AM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 27 - (40 - -9 - 1)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 75 + -74.8. Let p = -0.0325 - -0.0325. Which is the second biggest value? (a) v (b) p (c) 1\/3 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/4)\/((-157)\/(-1256)). Sort q, 1, -32 in decreasing order.\nAnswer: q, 1, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 177 + 263 + 10*h**3 - 121 + 28*h**2 wrt h.\nAnswer: 30*h**2 + 56*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/5 of a tonne in kilograms?\nAnswer: 3800","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -631.2636 - -631. Let w = 0.22 + d. Let y = w + 0.05. Round y to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17995.38793 to the nearest 10.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - (-7)\/35) + (-2250774)\/199180. Let d = 2\/9959 + v. What is the common denominator of d and 40\/3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99910333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -5a563?\nAnswer: -5a562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 843468?\nAnswer: 2, 3, 70289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -202201, 4.\nAnswer: -202201, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -3. Let u = 9.82 + -5.82. Sort u, f, 3 in decreasing order.\nAnswer: u, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2 - 28 = -r, 0 = -4*r - 5*h + 120. Suppose 108*g = 113*g - r. Solve -9*c - g = -15*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**0)\/j)\/j**(-7\/5)*(j*j**(7\/2))\/((((j*j\/(j*j*j*j**(-2\/15)\/j)*j)\/j)\/j*j)\/j))**32 assuming j is positive.\nAnswer: j**(3248\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -4090 smaller than 10745?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - (-4 + 6) - 4) + (-7616)\/960?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, 3975, -45\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1\/2 (b) 22 (c) 0 (d) 2.75\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + -1. Let p be (-1 - -4)*8\/(-6). Let k be ((-2)\/p)\/((-2)\/(-4)). Which is the closest to k? (a) 3 (b) j (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 0*s = q + 279, -3*q = 669*s - 666*s - 171 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4745582 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0016 - -1.7184. Let o = -1.720001049 + t. What is o rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3179? (a) -4 (b) -2\/5 (c) 1 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -9*z**2. Let x(g) be the third derivative of g**5\/15 + g**2 - 4. Calculate x(y(k)).\nAnswer: 324*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68 + (8 - (-81 + 50)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-24)\/5)\/2)\/((-6)\/105). Suppose -2*m - 87 = -5*m + 3*i, 2*m = -2*i + k. What is the highest common factor of m and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.659896ng in micrograms?\nAnswer: 0.001659896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 500865 + -500853.99985. Let q = j - 11. Round q to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -2, 0.04, -2\/3 in descending order.\nAnswer: 0.04, -0.5, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 + 0*w**2 + 3*w**2)*(5 - 1 + 4) + 18*w**2 - 9*w**2 - 11*w**2.\nAnswer: 46*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uyggyiguyiuii. Give prob of sequence iy.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81002?\nAnswer: 2, 101, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/68 and ((-48032)\/1520)\/((-528)\/2)?\nAnswer: 11220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -1c5?\nAnswer: 1ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -51*u**3 + 25*u**3 + 25*u**3 + (-u + 0*u - u)*(0 - 5 + 2)*(0*u**2 + u**2 + u**2).\nAnswer: 11*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(91) + sqrt(91) + sqrt(91) + sqrt(91)*-2 + sqrt(91))*6 - sqrt(91)) + sqrt(91))\/(sqrt(7) - -2*sqrt(252)).\nAnswer: 12*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) + (3*1*sqrt(209) - sqrt(209)))\/(-6*sqrt(66)\/sqrt(6)))**2.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 786931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1987*n + 7940*n - 1988*n - 1986*n - 1989*n.\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/96)\/(4*2\/60)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 1219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 11:52 PM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 967569552 a multiple of 3026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/8*248\/155.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-301347)\/(-13))\/3 + 12\/78. Let x = d - 4488. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -6*b - 3. Let i be m(-5). Let x = 44 - i. What is the tens digit of (0 - (-4 + 3))*x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4 + 731186*u**3 - 2924765*u**2 - 3655950*u.\nAnswer: u*(u - 5)*(u + 1)*(u + 731190)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**2 + 7*x - 47. Let o be p(-7). Solve 8*d = 3*w + 6*d - 14, 5*w = -2*d + o for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 5*i + 82989*i**2 - 12*i + 7*i.\nAnswer: 82989*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 642879195?\nAnswer: 3, 5, 7, 6122659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 15*b**3 - 4*b**2 + 4*b - 18. Let q(w) = -29*w**3 + 9*w**2 - 9*w + 37. Determine -9*n(k) - 4*q(k).\nAnswer: -19*k**3 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -85*a**3\/3 - 5*a**2\/2 - 515*a + 143. Find the first derivative of r(h) wrt h.\nAnswer: -170*h - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178*r = -44*r - 2546. Solve -16 = -d - r for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -229170033950 minus 0.23?\nAnswer: -229170033950.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/72)\/(10*4\/5*-1).\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1036)\/111)\/(-7))\/((-68)\/6)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 5116?\nAnswer: 5116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -228314017, -456628036, -684942055, -913256074, -1141570093?\n\"Answer: -228314019*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89, -98, -121, -164, -233, -334, -473, -656?\nAnswer: -889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 144 + -146. Let s be 1\/((-2)\/(-18)*j) - -6. Is s smaller than -0.39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, g: 5, w: 2, t: 5}. Give prob of picking 1 t and 1 w.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 3*k = -18, 4*g + 31 = 2*k + 73. What is the highest common divisor of 3162 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jf when two letters picked without replacement from wmowffjwmm.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20187748, -40375502, -60563262, -80751028?\nAnswer: -100938800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39 + 29 + 26)*(5*f - f + f)*(-2 + 3 - 5).\nAnswer: -320*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8339965 to two dps.\nAnswer: -0.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*j + 92 = 0. Suppose 3*o - 38 = j. Calculate the greatest common divisor of o and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-1)*-3)\/(-1). Suppose -207*w + 137 = -684 - 7. What is the greatest common factor of w and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14d + -6e3?\nAnswer: -830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 66*x + 519. Let i be s(-73). Solve 0 = -i*b - 48*b + 280 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -425 + 243b?\nAnswer: 2016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59 - -37. Suppose -8*w + 0*w + l = 0. Is 8 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/2235 or 1?\nAnswer: 2\/2235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a gram in milligrams?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 5:25 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 4*r**2. Let k(s) = -9 + s - 8*s**2 - 4*s + 2 + 10*s. Let o(d) = -2 + d + 5*d + 6 - 10 - 7*d**2. Let t(y) = -6*k(y) + 7*o(y). Calculate t(h(w)).\nAnswer: -16*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 109, 8, 0, 5 in ascending order.\nAnswer: -22, 0, 5, 8, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, -283, -658, -1183, -1858, -2683?\nAnswer: -3658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - 10) + 15 + (-11 - 8).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 52\/5 of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*r - 3*r**2 - 5*r)*(-4*r**2 - 2*r**2 + 5*r**2)*(-6 - 4 + 8) to m*r**2 + i*r + b + l*r**4 + u*r**3 and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-180)\/35*(0 - 63\/27)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by 84619154.\nAnswer: -15\/84619154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 6 + k + 4*k)*(27*k**2 + 78 - 78 - k**3).\nAnswer: -2*k**4 + 48*k**3 + 162*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 4287*g - 85612. Give s(20).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2884\/(-618)*10\/420.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27754, -55655, -83556, -111457, -139358?\nAnswer: -167259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5*z**3 + 4\/5*z - 2\/5*z**2 + 0 + 2\/5*z**4.\nAnswer: 2*z*(z - 2)*(z - 1)*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -65\/3 (b) -2 (c) 3\/17 (d) -1\/20 (e) 2\/11 (f) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18.2 + -17.2. Which is the biggest value? (a) d (b) 0.01 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oxpcomxk. Give prob of picking 2 x.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k - 7. Let g = 43 - 38. Calculate m(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10341, 11386, 12431?\nAnswer: 13476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 999.01328 - 999. Round f to 3 dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + (2 + -3 - -3). Let t be (7 - (-5 + 3))*d. Suppose -t = 5*f - 29. What is the remainder when 11 is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 549 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 4. Let t be 1*3 - (-8 + q). Solve 24 = 5*p + 3*m, -5*m + t = -3*p - 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/13, 3, -1, 0.04, 57.\nAnswer: -1, 0.04, 3\/13, 3, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 12:03 PM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + 3 + 336\/(-10) + 474 + -479?\nAnswer: -93\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26144 is divided by 363?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2883?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1093215*l - 273291*l - 273308*l - 273306*l - 273307*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 + -24.5. Let o = 4 + j. Let z = -0.5 + o. What is the biggest value in -1\/9, z, -0.4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -r. Let s = -1268459\/28 - -45302. Which is bigger: r or s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 11 - 1. Suppose 2*k = -4*m - 8, -p*k + 3*m = -k - 6. Suppose 3*x - 9 = -k. Solve -2*r + 25 = x*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -g**5\/20 + g**3\/6 + 8*g**2 - 38*g. Let d be r(0). Solve 0*o = 4*o - d for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -224, -184, -138, -86, -28?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 166*v + 23*v + 149*v in the form j + r*v and give r.\nAnswer: 338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*c + 28 = 33*c. Let m(p) = 4*p - 10. Is 6 a factor of m(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2296 and 33784.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 6)*(-2*u**4 - 12*u**4 + 9*u**4)*(-3 + 5 + 0) - 58*u**2 + u**4 + 58*u**2.\nAnswer: 21*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 481 - 306 = -43*y + 8*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49 - -2. Suppose 105 = 2*l - x, 4*l + 0*l = -2*x + 222. What is the remainder when l is divided by (-2)\/(-7) + p\/(-7) + 7?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-249 + 243 - 5*f - 4*f + (-1 - 1 - 1)*(-2*f + 2*f + 3*f))*(-1 - 6 + 5).\nAnswer: 36*f + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12613 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16.9 - -34.6. Let t = v - 17.8. Is t less than or equal to 2.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooe when three letters picked without replacement from jojoojejjo?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1674\/310)\/((-42)\/10)?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of j**3\/3 + 3*j. Let v(d) = 6*d + 1. Let b(r) = r**3 + 2*r**2 - 8*r + 7. Let u be b(2). Calculate u*n(p) - 2*v(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 42\/12*992\/217\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5607652 divided by -44.\nAnswer: -1401913\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and -10226.97834?\nAnswer: 10231.97834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -22022000202211 (base 3) to base 12\nAnswer: -15879aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23.365*-5668.\nAnswer: 132432.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 6*v + 5. Let r be f(-6). Let q(m) = m**2 + 5*m. Let b be q(-6). Suppose b + 19 = -r*w - a, -5*w + 3*a = 45. Is -5 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 328861, 329195, 329531, 329869?\n\"Answer: h**2 + 331*h + 328529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17464 (base 8) to base 10.\nAnswer: 7988","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -7*p**6\/3 - 4*p**5\/5 + 21*p**4\/2 + 40*p**3\/3 + 4*p**2 - 37. Determine o so that r(o) = 0.\nAnswer: -1, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -664*k**2 + 18590*k + 35. Determine o(28).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-87 - -80) + (11 - 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 2*m + 6*m = 50, -1 = p + m. Let i(j) = -j**3 - 7*j**2 - 6*j + 2. Determine i(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x - 7 + 12 + 43 - 2*x + 66. Let l be m(-23). Calculate the greatest common divisor of 8 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 584 = -3*w, 3*q - 530 = -5*w + 1250. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and 932875.\nAnswer: -6530125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 988 = 3*q - 347. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*h - 35*h - 609. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 16*w - 236. Let t be h(15). Suppose -t*u + 20 = 0, u + 2535 = 5*m - 2*u. Is m a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*c - 34. Suppose 5*v + 5*s + 0*s = -c, -5*s = v + 15. Suppose q + 8 = -q. Put v, 1, q in descending order.\nAnswer: 1, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = -2 + 9. Solve -7 + s = 2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -60*d**2*j*y - 925*d**2*j + 2*d*j*y**3 with respect to y.\nAnswer: -60*d**2*j + 6*d*j*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2381361?\nAnswer: 3, 793787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that g**5\/6 + 5*g**4 - 117*g**3\/2 = 0.\nAnswer: -39, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 146\/73*(-4)\/2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(3*((sqrt(130) + -1*sqrt(130) - sqrt(130)) + sqrt(130) + sqrt(130) + sqrt(130)) - sqrt(130)))\/(2*sqrt(90) - sqrt(100)\/(sqrt(10)*-1)).\nAnswer: -10*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*g**2 - 6*g**3 + 13*g**3 - 2*g**2.\nAnswer: 7*g**3 + 7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/4, -2\/7, 5 in ascending order.\nAnswer: -7\/4, -2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4434216 (base 9) to base 10\nAnswer: -2384736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1594*s = -1441*s - 306. Let c = -1.8 + 2. What is the smallest value in s, -1\/3, c, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16\/45 - -5\/9. Is 1 less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oxo when three letters picked without replacement from nxkmmmmmoxmmkmkkomo?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -71372 + 3819?\nAnswer: -67553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 8*n - 7. Let j be h(-6). Let i(o) = o**3 - 3*o**2 - 2*o + 3. Let k(z) = -2*z**3 + 5*z**2 + 4*z - 5. Give j*i(s) + 3*k(s).\nAnswer: -s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1586, -6277, -14074, -24983, -39010, -56161, -76442?\nAnswer: -99859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q*q**(-15\/7)\/q)*q**(1\/2)*q**(-1\/34)\/q*((q*q*q**32)\/q)\/q assuming q is positive.\nAnswer: q**(4119\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3\/8 (b) -1 (c) 470\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*s = 24*s + 513 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide -1 + 7 - (-5863 - -9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4289.88 rounded to the nearest 100?\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 25*p - 15. What is the remainder when 63 is divided by i(-26)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 692694373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 598613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22010217 divided by -24483.\nAnswer: -899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(5\/4))**(-22)*(n*n*n**(-2\/17))**(-16\/7) assuming n is positive.\nAnswer: n**(-7569\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 358*i - 2*i**3 - 683*i**2 - 113*i - 118*i - 121*i as h + l*i**2 + v*i + q*i**3 and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 798*y = 794*y + 124. Suppose y*u = u + 60. Solve u*l - l = -3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 38, -176, -536, -1036, -1670?\n\"Answer: u**3 - 79*u**2 + 16*u + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 24*g - 19. Let j be (-1 + 5)*g - 0. What is the closest to 0 in j, -1, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2031280 to the nearest 10000.\nAnswer: 2030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 10176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/((-126)\/(-135)*(-9)\/21).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 245216723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 + 41*l + 6 + 3 + 22*l as g + q*l and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 58293 and 22860?\nAnswer: 1165860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 268\/27?\nAnswer: 268\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -34*u - 17 + 52*u - 3*u**2 + 5*u**2. Let b be a(-10). What is the third smallest value in 0.04, 2\/15, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-1) - (175\/(-50))\/1\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**3 - g**3 - 3*g**3)*(3*g - 5*g - g) + 2*g**4 + 2*g**2 - 2*g**2 + 2*g**4 + g**4 - g**4.\nAnswer: 7*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -210*r + 204*r. What is the nearest to -1 in r, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*o - 100 = 154*o, -4*l + 5*o = 141 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 303*a**2 - 5626*a + 5626*a + 365*a**2.\nAnswer: 668*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -361 + 364. Suppose -25688 - 181 = -x*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 0)*(-9 + 108\/9). Factor -1127*j**3 - 1170*j**s + 3*j**4 + 42*j**2 + 2270*j**3.\nAnswer: 3*j**2*(j - 7)*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 69 + -65 + (-3 - (-3 + 1) - 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32.77123 + 9.771182. Let i = -44 + 67. Let p = q + i. What is p rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 2041628\nAnswer: 2041628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -320147 to the nearest one thousand.\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 6*f - 50. Let k be ((-7)\/((-7)\/(-30)))\/(-2). Let t = k + -12. Solve -3*v = -t*c - f*v + 14, -2*c - 5*v = 19 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2619888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*d**2*o - 4*d**2*z**2 - 3*d**2*z + 18*d*o*z**2 - 2*d*z**2 - 16*d*z - 2*o*z + z**2 wrt z.\nAnswer: -8*d**2 + 36*d*o - 4*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -5*u - 5. Give v(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (161 - 264 + 1098)*(-4 + 4 - 2*u) + 10*u - 8*u + 0*u as c*u + b and give c.\nAnswer: -1988","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177943.\nAnswer: 177943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4*r - 20. Let o(d) = -274*d**2 + 552*d**2 - 279*d**2. Determine x(o(z)).\nAnswer: 4*z**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + x - 8917, -1834 = -s + 5*x + 7107. List the prime factors of s.\nAnswer: 11, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10446*21088\nAnswer: -220285248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(128)*6 + 5 - -1*sqrt(6)\/(sqrt(3) + sqrt(6)\/(-4*sqrt(2))).\nAnswer: 5 + 436*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 0) + 52 + 0 + -6 + (145 - 130)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 583\/13 (b) 4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 372967 to the power of 1\/2, to the nearest integer?\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 10 = 5*k + 5*b, 0 = -5*k + 5*b - 40. Let g = 580 + -4080\/7. Which is greater: g or k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5318497 - -7826697. Round k to the nearest 10000.\nAnswer: 2510000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 5*r + 1. Let y be a(-2). Let z = 8 + y. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - -0.2. Let g = -0.1 + w. Let u(h) = -2*h**3 + 37*h**2 + 7*h + 224. Let z be u(19). What is the closest to 1 in 3\/5, z, g?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 44 = 2*f, 194*y + f - 4*f = 189*y - 40 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2479 a factor of 76967551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**14)**(-23)\/((v\/(v\/(v*v**2)))\/v*v**(-5)*v) assuming v is positive.\nAnswer: v**301","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 79327041 - 79327041 - 27880*f**2 to the form o*f + z + w*f**2 and give w.\nAnswer: -27880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 4*c**2 + c. Let t be 1 - (-6 + 3 + 1). Suppose -13 = t*d - 4. Let j be o(d). Solve -4*g - j = -2*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -1051250*z**2\/7 - 388246200*z\/7 - 35846637768\/7 = 0.\nAnswer: -133878\/725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -125 - -180. Let t = -54 + z. Let m = -138.38 + 139. Which is smaller: m or t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -24*f + 192. Let n be x(8). Solve -b = z - 3, n = 4*b - 7*b - 3 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**4\/23 + 32464*m**3\/23 - 1412*m**2 - 162336*m\/23 - 97398\/23 = 0 for m.\nAnswer: -16233, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 29082*x + 11 - 8 + x**2 - 229365*x.\nAnswer: x**2 - 200283*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((-5*(sqrt(550) + sqrt(550)*-2))\/sqrt(11))\/(sqrt(200)\/(sqrt(5)*-4)))**2*4.\nAnswer: 8000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2 - 652*r**3 - 506*r**3 + 1418*r**3 with respect to r.\nAnswer: 780*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6*(1 - 4)\/6. Solve 4 + 6 = -v*l + 4*u, 26 = 5*l + 4*u for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a, 1 h, and 1 o when four letters picked without replacement from ohphaahahoa?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(0*a - 4*a + 3*a)*(-3 - 1 + 3)*(0 + 1 - 2).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-2*5*3*(-4*(sqrt(325) + 1)**2 - sqrt(325))*-4.\nAnswer: -156480 - 5400*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 36008300 to the nearest 10000.\nAnswer: 36010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s + 10. Let f be i(0). Solve f*p - 5*p + 25 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.5, 1.2, 2\/5, 4, -0.3, 2\/15 in descending order.\nAnswer: 4, 3.5, 1.2, 2\/5, 2\/15, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**4 - 4*a**4 + 2*a**4)*(3*a + 1 - 5*a + 4*a).\nAnswer: -2*a**5 - a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1454 is divided by 81.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 5:27 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26469, 52970, 79465, 105942, 132389, 158794, 185145?\nAnswer: 211430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 141, 281, 421, 561, 701, 841?\nAnswer: 981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 + -37. Let k = -2.8 - v. Let l = -0.2 - 0.3. Which is the second smallest value? (a) k (b) l (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 13 - 1 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - 2*r - 7. Let q(w) = -2*w**2 - 3*w - 10. Suppose -79 = 14*o + 19. What is o*b(t) + 5*q(t)?\nAnswer: -3*t**2 - t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 651 - 4555\/7. Let d = 0.07 - -0.13. What is the closest to o in d, -0.5, -2\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 63495.13 weeks?\nAnswer: 38401854624000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of 5*p**7\/7 - 15*p**4\/4 - 8*p + 1. Find the third derivative of f(c) wrt c.\nAnswer: 1800*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = -18*q - 158. Which is the second biggest value? (a) q (b) -1\/3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -6955*t - 455. Let d(x) be the third derivative of -61*x**4\/24 - 2*x**3\/3 - 889*x**2 - 2*x. Calculate 4*c(w) - 455*d(w).\nAnswer: -65*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.06 + -2.44. Let m = r + 2. Which is the second smallest value? (a) -4 (b) m (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of 95*l**4\/12 + 209*l**3\/6 + 82*l**2 - 1. Find the first derivative of o(g) wrt g.\nAnswer: 190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6309 and 1734.\nAnswer: 3646602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89146.\nAnswer: 2, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 245 and 343?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-five halves of a gram?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 3*c - 2364, 4*c = 5*i + c - 3932. Let q = i - 543. List the prime factors of q.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 5)*(2*b**3 + 4*b**3 - 7*b**3)*(-2*b**2 - b**2 + b**2).\nAnswer: 10*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 118231963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of c + 1079\/48*c**4 + 19 - 7\/24*c**6 + 19\/3*c**3 - 361\/2*c**2 + 247\/80*c**5 + 1\/168*c**7. Suppose y(k) = 0. What is k?\nAnswer: -2, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4163*y**4 - 35*y + 12 wrt y.\nAnswer: -49956*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, 307\/5, 0, 1.7?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4708 + 4708. Solve p = 47*j - 309 + 732 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -132*p**2 + 19611*p - 11109. Calculate s(148).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -3\/4, -4, -0.04, 5\/3, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((-16)\/(-36))*4. Let x = -7 + n. Calculate the highest common divisor of x and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 15*c = 10*c, 0 = -y - 2*c - 9 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27029473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213*o - 1198 = 731 + 201 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 89*m**2 - 8*m - 4. Is 16 a factor of j(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2404 = 134*d - 2688 for d.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/9))**(-28))**50 assuming b is positive.\nAnswer: b**(-2800\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/6)\/5*-6*64\/(-16)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29541230 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4 (b) 312 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 686 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: Sum 0 and 588.219827.\nAnswer: 588.219827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12743886 and 2484.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227244 is divided by 4734.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7327, 7332, 7337, 7342, 7347, 7352?\nAnswer: 7357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 104257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84 and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 times 0.3?\nAnswer: -7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -335*a**2*y**3 - 10*a**2*y + 31*a*y**2 + 9*a - y**3 - 5*y**2 wrt a?\nAnswer: -670*y**3 - 20*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 16*l + 24 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34938, -34909, -34872, -34821, -34750, -34653?\nAnswer: -34524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((56\/(-48))\/7)\/(-1*1).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of a**4\/4 - a**3\/3 + 7. What is the third derivative of f(u) wrt u?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36495? (a) 1 (b) 0.5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q + 538 = -9*q + 26*q. What is the remainder when q is divided by 261?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -864*k**7\/7 + 6*k**3 + k**2 - 384. Find the third derivative of s(z) wrt z.\nAnswer: -103680*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 17 - 215 = 0. Let w = 639 + -146. Calculate the highest common divisor of w and u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -143*i**2. Let f(h) = 11*h - 2*h - 6*h - 8*h - 6*h. Determine f(v(b)).\nAnswer: 1573*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/28)\/((-5)\/((-10)\/(-4)))\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/42)\/(-10*15\/(-900)*(-1863)\/21)?\nAnswer: -4\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -26 + (-15 - -50) + 5 + -6 + 8 + -2\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 132 - 412. Let l be (-3991)\/n + (-2)\/(-14). Let v = -929\/12 - l. What is the common denominator of v and 59\/20?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 48*l**2 - 52*l + 51. Let j be k(47). Let s = j - -185. Which is the closest to 0.2? (a) s (b) -5\/2 (c) 72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1006597, -1006935, -1007273, -1007611, -1007949, -1008287?\n\"Answer: -338*a - 1006259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 7, z: 3, u: 7, n: 2}. Give prob of picking 2 n and 1 z.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*b - 9 = -86*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence re when two letters picked without replacement from {s: 3, i: 3, n: 1, r: 1, v: 9, e: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of 2*u**3 + u**2 - 26*u. Find the first derivative of k(i) wrt i.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 - 63. Let y(x) = 3 - 7 - 88*x**2 + 76*x**2 + 4. Determine y(s(t)).\nAnswer: -12*t**4 - 1512*t**2 - 47628","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 1:32 AM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 17 - 4 = 0. Which is smaller: g or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 18*w - 33. Let b(q) = -2*q**3 + 73*q**2 - 34*q - 85. Let p be b(36). What is the remainder when o(p) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - 1) + -160 + 176?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13129650 and 1141?\nAnswer: 91907550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -9 (c) 1\/5 (d) 5\/34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15216, -121968, -411752, -976092, -1906512, -3294536, -5231688, -7809492?\nAnswer: -11119472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 + (42 - 36) + 2 + -5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171285 minus -749896?\nAnswer: 921181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 350*a**5\/11 + 104273920*a**4\/11 - 53626704*a**3\/11 - 7150208*a**2\/11 + 4766816*a\/11 = 0.\nAnswer: -297926, -2\/7, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 519961 is divided by 64993.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 5:41 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.344 rounded to 2 decimal places?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6*(6\/(-4) - -1). Suppose 5*g - n = 2*n - 102, -w*g = 2*n + 65. Let m = 35 + g. Calculate the highest common factor of m and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5668, 5676, 5682, 5686, 5688?\n\"Answer: -y**2 + 11*y + 5658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/17 bigger than -4504?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*j + 13*j + 31*j = -58 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**5\/7 - 32*g**4\/7 - 58*g**3\/7 - 4*g**2 = 0 for g.\nAnswer: -14, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/15*(-9)\/(-24).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -52 - -56 - (-1 - (2 - 0)). Suppose -d*a + 131 - 19 = 0. Suppose -18*n + 252 = -16*n. Calculate the remainder when n is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, k: 13, r: 2}. Give prob of sequence rr.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -12*c + 7. What is the units digit of v(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48470962 + -48470959.29999995. Let u = -2.7 + t. What is u rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 182 = 2*b + 1044, 1537 = 5*f - b. What is the remainder when f\/12 - 1\/(-3) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 6, -8, -28, -54, -86, -124?\nAnswer: -168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3*u - 4, y + 1 = 5. Suppose 0 = -n - 5*q + 15, 4*n - 12 = -4*q - u*q. Suppose n = -6*x + 2*x + 40. What is the remainder when 18 is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -5029*l**3 - 6*l**2 + 3*l + 9. Let a(w) = 95550*w**3 + 112*w**2 - 56*w - 168. What is 3*a(m) + 56*x(m)?\nAnswer: 5026*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1882861677.\nAnswer: 3, 19, 2243, 4909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4467 - 31320\/7. Let q be 244\/(-44)*((-112)\/6)\/(-1). Let a = 307\/3 + q. Find the common denominator of a and i.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1548\/48 - 9 - (2 - (-7)\/(-4)). Solve 156 = b*n + 16*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132 + 0.03.\nAnswer: 132.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3915*s - 4266*s - 1285*s + 2311*s - 3690*s to the form z + o*s and give o.\nAnswer: -10845","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 2:31 PM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*p**2 + 25*p**2 + 19*p**2 - 68*p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 230893 to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*u + 949 = -17*u. Let n = u + -557. What is the highest common factor of 56 and n?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -u - 3*u - 5*q, 0 = -3*u - 4*q + 5. Suppose -4*v - 2*y + 1 = 5, 5*y = -2*v + 14. Is (-27)\/v*2\/u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 4, -116, -1, -5 in descending order.\nAnswer: 4, -1, -5, -10, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -30 - 7*a**3 + 722*a - 1470*a + 2*a**2 + 747*a in the form g*a**2 + k*a**3 + y + p*a and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 - d**2 + 0*d - 133*d**3 + 887 + 134*d**3 + d. Is h(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eesgegeemg. Give prob of picking 3 g.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j - 34. Let m be b(40). What is the second smallest value in 3, m, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*d - 5*b - 11, 2*b + 2 = 0. Suppose 4*u - 3*m - 67 = -u, -d*m = -3*u + 40. Is u a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11107635?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -890 = 3*u + 2*i - 0*i, 5*u - i + 1505 = 0. What is the tens digit of (-40)\/u - (-3)\/((-45)\/(-6448))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(1 + 2) + 0. Let h(t) = 53*t - 8 + 47*t - 95*t. Let g be h(a). Put -4, 3, g in increasing order.\nAnswer: -4, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 12*b**2 - 5. Let t(d) = -37*d**2 + 14. Let c = -578 - -582. What is c*t(i) + 11*n(i)?\nAnswer: -16*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 take away 0.9702048?\nAnswer: -9.9702048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 2:23 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**3\/7 + 902*k**2\/7 + 54100*k\/7 + 7600 = 0. Calculate k.\nAnswer: -380, -70, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -7*i**4\/12 - i**3\/2 - 3*i**2. Is v(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -1834.\nAnswer: -1834.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/5 of a gram in milligrams?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -5*h + 28 - 13, 3*h = 6. Let i be (k\/(-2))\/(0 + 1\/12). Let m = -3 - -6. What is the smallest value in i, m, -2\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 6*y - 4*y - 59, -3*t = -15. Suppose -2*j - y = -65. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 + -32. Let t be (5 - (-4)\/v)\/3. Let o be (-4 - -3)\/(t - 0). Is o equal to -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 17 + 69. Let s be -29 - (1 + (-3 - -2)). Let u = j - s. Is 15 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -30117 times 4?\nAnswer: -120468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*x + 8 - 176 = 0. Let p(q) = -2*q - 3. Let o(t) = t + 1. Calculate x*o(c) + 2*p(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-670)\/3015*((-216)\/(-164))\/3\nAnswer: -4\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 9 - 107*o - 2 to v + d*o and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2174000 rounded to the nearest one hundred thousand?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 22. Let r(m) = -m**g - 15*m**2 + 15*m**2. Let y(i) = -14*i**4 + 6*i**2 - 4*i. Let v(u) = -12*r(u) + y(u). Factor v(s).\nAnswer: -2*s*(s - 1)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 16 + 1 = b, -2*s = -2*b + 22. Solve -5*d - 4*o - 40 = 0, -b*d - 30 = 11*o - 9*o for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 554 - 592.4. Let c = z - -42.4. What is the nearest to 2 in c, -5\/4, -3, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 9549?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/((6804\/(-112))\/81).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.147866647 + 0.147926. What is z rounded to 6 decimal places?\nAnswer: 0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 562580703.\nAnswer: 3, 62508967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11177.\nAnswer: 11177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -15 times 0.127\nAnswer: -1.905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 5*m**2 + 6. Suppose -h - 42 = -4*h. Let c = -9 + h. Let f be p(c). Solve 3*w + 9 = 0, -5*n - 4*w + 16 = -f*w for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 1\/4 (c) 31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-75)\/250)\/((-6)\/5)*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1683*s**5 - 11*s**3 + 58038*s wrt s?\nAnswer: 33660*s**3 - 66*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 != -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*r + 349*r = 3721 + 1739 for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16 + (0 + 6 - 13) + -4. Let s = 4 + -7. Sort -1, s, g, -21 in decreasing order.\nAnswer: g, -1, s, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 903118070?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2\/7 + 16167*o\/7 + 65004.\nAnswer: -3*(o - 5417)*(o + 28)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -84 - -225. What is the lowest common multiple of 27 and b?\nAnswer: 1269","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -a93f5?\nAnswer: a93f0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -312*o**4 - 1632 + 277*o + 225*o - 502*o - 8*o**2 with respect to o.\nAnswer: -1248*o**3 - 16*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 383116870?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 2 + 2)*(1 + 0 + 1)*(-7*i - 4*i - 3*i) as q*i + m and give q.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 357356657 to the power of 1\/2, to the nearest integer?\nAnswer: 18904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l + 203 = 194 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 - 34 + 3 + 500*x)*(1 - 1 + x + (-2 - 5 + 5)*(-3*x + 4*x - 2*x)).\nAnswer: 1500*x**2 + 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 7*q**2 + 4*q - 36. Let h be k(7). Sort 4, -1, h, 1 in descending order.\nAnswer: 4, 1, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16303*m**3*p + 14534*m**2*p wrt m.\nAnswer: 97818*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -105*m**3 - 384*m - 118*m**3 + 378*m**3 + 2*m**2 wrt m.\nAnswer: 930*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (5 - 0) + -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2377 + 3640. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4074.447612 rounded to 1 dp?\nAnswer: -4074.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssj when three letters picked without replacement from hhsssjhshjhhsh.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 65 + -38. Let h = u + -32. Let b = -0.8 + 0.9. Put -4, b, h in descending order.\nAnswer: b, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r + 3. Let b be q(-4). Let n = -343 + 337. Let s be 5\/n - (-13 + 11)\/(-12). Put -9, s, b, 1 in descending order.\nAnswer: 1, s, b, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of t**3\/3 + 3*t**2\/2 + 158*t + 4. Let l(a) = -a - 4. Calculate 3*l(u) + 2*z(u).\nAnswer: u - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - 16. Let h be ((-1832)\/30)\/((-2)\/s). Let n = -667\/6 + h. Find the common denominator of n and -73\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30299, -60601, -90903?\nAnswer: -121205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/13 in 0, 2\/7, -0.1, 41?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/64 of a milligram?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25.6*13781.\nAnswer: -352793.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21054.466*-0.08.\nAnswer: 1684.35728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 3*h**2 + 4*h + 5. Let b be s(-4). Solve u - 2*x = 3*x - 13, 5*x - 25 = b*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6 - 1)*(-55 + 53). Which is smaller: -41 or f?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -44, -199, -466, -851, -1360, -1999, -2774?\n\"Answer: -n**3 - 50*n**2 + 2*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 23 = 5*p, -p + 2*q = 3*q - 7. Suppose -p*s = s + 12. Is s - -1 - -2 - -22 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000001 - -100?\nAnswer: -111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -15, -56, -125, -222, -347, -500, -681?\n\"Answer: -14*s**2 + s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 485 + -279. List the prime factors of w.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) -6\/91 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 2)*(0 + v + 0) - 3 + 50369*v + 69832*v + 3 + 67437*v to z + i*v and give i.\nAnswer: 187637","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -134?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/12*-4 - (-88)\/24. Factor 2\/3*b - 2\/3*b**3 - 1\/6*b**4 + 1\/2 - 1\/3*b**q.\nAnswer: -(b - 1)*(b + 1)**2*(b + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 495 = -13*q + 8*q, -4*v - 3*q = -497. Suppose -2*d + x = -66, 5*d - v - 40 = -2*x. What is the remainder when 362 is divided by d?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57 times 105048\nAnswer: -5987736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 63\/11, -63, -8, -0.4?\nAnswer: 63\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112565550.\nAnswer: 2, 3, 5, 750437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 3:08 AM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 90636617735 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 1 + -6 + 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-57)\/(-9) + (-2)\/(-3). Suppose 3*d - f*d = -156. Let h = d + -19. Solve -5*l = -6*v + 3*v + h, -3*v - 3*l - 12 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 168, 568, 1348, 2634, 4552, 7228?\nAnswer: 10788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 10 = 2*u, 4*u + 16 = -i + 4*i. Let y be 613\/35 - u\/(-1). Let l = 84\/5 - y. Is l greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*n*u + 6412*n - 188*u**4 - u**2 wrt u?\nAnswer: -8*n - 752*u**3 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 4*b**2 - 4*b + 3. Let r be u(3). Let g = 887 + -893. What is the fourth smallest value in -2\/11, g, 0.4, r?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 14*l**2 - 12*l + 19. What is the remainder when n(-13) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1620 = 26*l - 20*l. What is the greatest common divisor of l and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 540162?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r - 310 = -18*r. Suppose 0 = -5*u + 3*u + r. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64, 66, 68, 70, 72?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-11)\/9 + (-4)\/(-18). What is the smallest value in -0.2, 22, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-1))\/(-2) + -4. Let y = 1 - l. Let n = y - 1. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 410 - 1292 = -6*c. Is 25 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 182 - 113. Let l = u + -63. Solve -l = -0*y + y + 5*q, -4*q = -2*y + 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-3 + 3)) + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -594 - 558 = 12*r. Suppose 2*m - 233 + 36 = -y, y = 4*m + 173. Let c = y + r. Is c a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y - 42. What is i(13)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -11541*n - 910. Is 23 a factor of v(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6418364um to millimeters.\nAnswer: 0.0006418364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/20 and -29\/9830.\nAnswer: 19660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -597234 = -3*c + 5*u, -182*u = -3*c - 180*u + 597225. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -y**4\/4 + 2*y**3\/3 + y**2\/2 + 4*y - 1. Suppose 0 = -69*l - 51*l + 360. Give h(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*z**2 + 31*z**4 + 3*z**2 + 10 - 37*z**4 with respect to z.\nAnswer: -24*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 34\/9 + 6\/27. Suppose f + 10 = 5*u, -f = 2*u - 5*f - o. Let -1\/5*z**u - 1\/5*z + 2\/5 = 0. What is z?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-42)\/(-5) + 6\/10. Suppose -v = -3*b + 4, v - 7*b = -3*b - l. Solve -9 = 5*c + v for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-7)*(-48)\/(-72). Suppose -3*l + 3*d - 3 = 0, 0 = 5*l + 3*d - d + 26. Which is the closest to o? (a) l (b) -3 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-741)\/15)\/((-76266)\/120420)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g = 8*g + 5*b - 10, -g = b + 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 7 - 8. Suppose -5*b - m = 27, 4*m = -3*b + 7*b + 12. Let z = r - b. Sort -3, z, 5 in descending order.\nAnswer: 5, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1136 and 118.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -1345?\nAnswer: 4\/1345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-60))\/(-2*3\/(6\/7))\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 6 + 30*x + 11 as v + c*x and give c.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 142171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and 10720.\nAnswer: 10719.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 1313943 = -85*c + 81*c, -4*r - 3*c = -1751945. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -11729, -360 in increasing order.\nAnswer: -11729, -360, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59, 0, -5, -2 in ascending order.\nAnswer: -59, -5, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + 4. Suppose -t = -2*t + 3*x - v, -4*t + 2*x + 2 = 0. Determine p, given that -p**2 - 3*p**2 + 2*p**t = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/1386 and 10\/7802619.\nAnswer: 327709998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 1 + 1)*(-2*h - 2*h - 2*h)*(-79 - 19 - 45 + (5 + 0 - 3)*(2 + 1 - 2)).\nAnswer: 1692*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 15 (c) -2\/17 (d) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14463?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhh. What is prob of picking 3 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2746141 or -2746151?\nAnswer: -2746151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.4 (b) 4 (c) 2 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ill when three letters picked without replacement from {o: 9, i: 1, l: 10}?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*(-14)\/(-273))\/(-2)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -160*f + 4. Let i(u) = 313*u - 7. Determine -11*b(j) - 6*i(j).\nAnswer: -118*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-10))\/(37\/((-740)\/6))*351\/(-24)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 126868747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 5*b - 4. Let w be m(3). Let j = -8 + w. What is the units digit of (-6)\/j*(-9 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -504*r**2 + r - 657. What is d(0)?\nAnswer: -657","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11048*i**2 + 3813*i**2 - 5123*i**2.\nAnswer: -12358*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -3, -0.11, -428417 in descending order.\nAnswer: 0.5, -0.11, -3, -428417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + j + 0*j = 64, 2*y = 4*j + 14. Find the third derivative of -v**2 - 1402*v + 194*v**3 + y + 1402*v - 16*v**3 wrt v.\nAnswer: 1068","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 940\/11 + -8707\/110. Let k be (15\/6 + -1)*2. Suppose 2*d - k*d = -31. Find the common denominator of m and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8388 = 1020*o - 1029*o. What are the prime factors of o?\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v - 3. Let x be m(-1). What is the lowest common multiple of 14 and 49\/5 - x\/30?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25132730 - 25132736.0900538. Let x = -6.09 - n. What is x rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of 5*w**3\/3 + w**2\/2 + w - 2. Let r be q(2). Suppose -l = 3*n - 10, -6*n - r = -4*l - n. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1332047, -1332038, -1332025, -1332008, -1331987, -1331962, -1331933?\n\"Answer: 2*h**2 + 3*h - 1332052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 11292 = 2*q, -2*q - 3*z + 5640 = -q. Let s = q - 3164. Suppose -s = -4*n - n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -538*l + 451*l = -696 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/7 and (-2)\/((-12)\/279) + -3?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31382 - 2289 + 663 = 172*h. Solve -h + 1 = 43*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nm when two letters picked without replacement from {n: 3, z: 1, m: 5}?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3395204 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 4*r - 2 = -8*r, 0 = -2*x - r - 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468)*-2*2)\/((sqrt(4) - sqrt(12)\/sqrt(3)*-5) + sqrt(448)\/sqrt(7)).\nAnswer: -6*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -97*h**2 + 2238*h - 29. Determine c(23).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/2? (a) 2\/3 (b) -3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3304 - -3308. Sort -1\/2, -0.2, 10, d.\nAnswer: -1\/2, -0.2, d, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 4. What is the closest to -2\/5 in s, -0.4, 0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mipyfmbimffffmbiiffb. What is prob of sequence bfi?\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 16049336 - -1757572.9\nAnswer: 17806908.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**2 - 3*z**2 - 5*z**2.\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 5 - 8*x - 4 - 8 - 3. List the prime factors of m(-13).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3300111210 (base 4) to base 2.\nAnswer: -11110000010101100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 12 (b) 2 (c) 3\/4 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 1 - 5*s + 0 - 1 + 25*s**3.\nAnswer: 25*s**3 - 5*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 110707722?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-438*b + 7 + 223*b + 217*b)*(7*b - 3*b + 0*b) to the form g*b + k*b**2 + s and give g.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 115557712?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4482886 is divided by 5487.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 6:07 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(-1 - (-6)\/5). Let a = -0.85 - -4.85. What is the nearest to -2 in -0.4, a, b?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -5. Let k = -742.24 + -18.26. Let x = k - -761. What is the fourth smallest value in x, 1, 4, f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20233 (base 5) to base 14\nAnswer: -6a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 + 3 - 525*b - 715*b + 1240*b.\nAnswer: 2*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13880 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*b**2 + 48012572*b + 68*b**2 + b**3 - 48012572*b.\nAnswer: b**3 + 77*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -257996 to the nearest one thousand.\nAnswer: -258000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -3. Let v = 6 - f. What is the third derivative of -3*s**3 - s**2 - 4*s**2 + v*s**2 wrt s?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 185*f**3*s - 3*f**3 wrt s?\nAnswer: 185*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 a when four letters picked without replacement from xsxsaaasxsssxxsxxs?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-11))\/((-328)\/1804).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millimeter in micrometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**3 + 8*t**2 - 8*t**2)*((-2 + 3 + 0)*(-2 - t + 2) + t - 3*t + 0*t + 2*t - t - 2*t).\nAnswer: -12*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*h**3 + 1561622*h - 1561622*h.\nAnswer: 15*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 + 267881838*a - 5980056594188187.\nAnswer: -3*(a - 44646973)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - -9 - -2) + 2 + -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 382*i**2 + 212*i - 64401. Calculate s(-381).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 178*c**2 - 2*c - 5. What is j(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.5 (b) 1 (c) 2\/45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((600\/70)\/(-5))\/(-2*(-1)\/(-14))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 7:32 AM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-206 - 10*r + 206)*(2*r + 1 - 1).\nAnswer: -20*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 219*k + 661. Let w be i(-3). What is the highest common factor of w and 7884?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a*a*a**4*a*a*a**(-13\/6) assuming a is positive.\nAnswer: a**(41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26144, -52275, -78408, -104543, -130680, -156819?\nAnswer: -182960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - -53.23.\nAnswer: 53.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1713, 2897, 4863, 7611, 11141, 15453?\n\"Answer: 391*o**2 + 11*o + 1311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3090.58843 rounded to one dp?\nAnswer: 3090.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -8 - ((-8)\/1 + 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-13 + 7 + 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4030026547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-42)\/11 - 2\/11. Let o be 6\/((-2)\/4*w). Solve -o*x + 5 = 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 205 - 111. Calculate the remainder when x is divided by (-24)\/5*(-270)\/81.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**3 + 6*v**3 + 0*v**3)*(4*v - 1 + 5 - 2).\nAnswer: 12*v**4 + 6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 482859*r - 31. Let c be a(14). Suppose -x - c = -5*d, -3*d + 28506089 = -5*x - 5293908. Round x to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l + 19. What is p(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m + 5*o - 10, 5*m + 6 = -o + 20 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4\/9 + 4*t**3\/9.\nAnswer: 2*t**3*(t + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 7*w**2 - 4 + 4. Let q = 9 - 13. Let f be 6\/q*8\/(-12). Calculate c(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/207?\nAnswer: -2\/207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 9) to base 4\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5527799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 10, d: 2}. Give prob of sequence aada.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 55403570 to the power of 1\/4, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -7*c + 5. Let g(j) be the first derivative of -j**2\/2 - j + 1. Let f(i) = -b(i) - 4*g(i). Calculate the remainder when 61 is divided by f(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -29*r - 25. Let k(g) = 12*g + 13. Give 5*k(t) + 2*y(t).\nAnswer: 2*t + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 9 = 5*q, -37*q = -40*q - 3*w + 9 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jkj when three letters picked without replacement from kjj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 45\/90 + 13*2\/(-4). Let c be (-6 - m)\/(8\/4). Solve -2*v + 1 = -u + 4*u, c = v + 2*u for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 106 + -97. Let o = -2 - n. Let q = 513\/8 + -64. What is the third smallest value in q, -2\/15, o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2001100 + 10?\nAnswer: -2001020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17493668 divided by 1.\nAnswer: -17493668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of a**5\/15 - 335*a**2 + 3. Let d(j) = -58*j**2 + 2. Give d(m(l)).\nAnswer: -928*l**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 110000768?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223678 (base 10) to base 8.\nAnswer: -664676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 115*g**3 + g**2 + 2*g + 2. Let t be u(-1). Let q = -105 - t. Which is the third biggest value? (a) 0 (b) q (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05451576 to 3 dps.\nAnswer: 0.055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39942, -39907, -39878, -39855, -39838, -39827, -39822?\nAnswer: -39823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14517467, -29034933, -43552401, -58069871?\nAnswer: -72587343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (60 - (-6 - -3)) + (0 + -6 - -6). What is the highest common factor of 2016 and n?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 158*y - 4936. What is f(35)?\nAnswer: 594","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12 - -1818?\nAnswer: 1806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81737.\nAnswer: 81737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/3)\/((-3)\/9). Let k be ((-4)\/i)\/(-3 + 1). Suppose -4*b + 18 = k*b. Solve -m + 2 = b for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 195\/12 + 1\/(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162496 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -276019, -552008, -827981, -1103938?\n\"Answer: 8*p**2 - 276013*p - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18019, -18024, -18029, -18034, -18039?\nAnswer: -18044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7824 is divided by 28.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, 2, 4, 10, -25, -5 in increasing order.\nAnswer: -48, -25, -5, 2, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -21*m**3 - m**2 - 8*m + 6. Let x(j) = -21*j**3 - j**2 - 7*j + 5. What is 5*t(d) - 6*x(d)?\nAnswer: 21*d**3 + d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -47, -145, -335, -647, -1111?\nAnswer: -1757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-64))\/(-13*(-64)\/163072).\nAnswer: -49\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5.53 - -0.105437\nAnswer: 5.635437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*k**4 + 416*k**3 + 1982*k**2 + 1960*k + 408 = 0. What is k?\nAnswer: -3, -1, -2\/7, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**2 + 154*l - 795 = 0. Calculate l.\nAnswer: -159, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 744 and 533944?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/35 and 22\/35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -3, -2, -88, 1 in decreasing order.\nAnswer: 1, -2, -3, -13, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3938*g**3 - 8*g**2.\nAnswer: -2*g**2*(1969*g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -87*l**6 - 313*l**2.\nAnswer: -10440*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g + 2*d + 66 + 16, 30*g - 32*g - 2*d - 88 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 223\/17 + -12.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7466*l**2 - 48572.\nAnswer: -14932*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*h = 0. Let v be (h\/(-2))\/(1 + 0). Suppose v = x + 2*x - 6. Calculate the least common multiple of 2 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1807321 to the power of 1\/3, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 918*g**2 - 914*g**2.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 d when three letters picked without replacement from {s: 3, f: 4, d: 1}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/83 - -113\/2490. Let j(o) be the second derivative of q*o**3 - 2*o + 1\/60*o**4 + 0 + 0*o**2. Factor j(w).\nAnswer: w*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 58 (b) -5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5)*h**28*(h\/h**(-2\/19))\/h*h*h**24\/h)**5 assuming h is positive.\nAnswer: h**(4475\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -2 + sqrt(128))*-3 + -1 + (sqrt(128) - (2 + sqrt(128) + 0)))**2*-2.\nAnswer: -2376 - 576*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s**2 + 2*s - 2. Suppose m = 3*m - 18. Suppose -2*c - m = 3. Is w(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/63 + 191\/(-9). Let g = -17 - z. Suppose 3*j - 5 = 5*p, 5*p + 4*j = 26 + g. Solve 24 = -4*t - i, 0*t + p*i + 18 = -2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.09856402133 to six dps.\nAnswer: 0.098564","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22 or 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 6*f - 8*f - 1, -5*f = 5*a - 20. Solve -f = -5*b - 26 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 135\/21 - (120\/35 - 4). Suppose 500 = -r - 4*r. Let i = r + 156. What is the highest common divisor of s and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1574552*0.0568\nAnswer: -89434.5536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*a + 3420 = 50*a + 9*a - 4*a for a.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - s - 3, -2*v - s + 3 = -2*s. Suppose -8*f + 3*f = v. Suppose -1772 = -2*a + 2*z, f = 4*a - z - 375 - 3181. Round a to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -3*j**5 - 16155*j**4 - 241809*j**3 - 853893*j**2 - 338040*j + 1449900 = 0.\nAnswer: -5370, -10, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c = -60, 2*c + 4*c + 15 = -5*q + 3*c - 23 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -1acb8947?\nAnswer: 1acb8946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 + -30. What is the remainder when c is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) + -2*sqrt(187)*-3 - ((sqrt(187) - 1*sqrt(187))*-3 + sqrt(187)))*-4)\/(sqrt(704)*5 + sqrt(110)\/(sqrt(10)*4)).\nAnswer: -96*sqrt(17)\/161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -909502, -909460, -909418?\n\"Answer: 42*l - 909544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11276 is divided by 120.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -208*k**3 + 78*k**2 - 78*k. Let o(p) = p**3 + p**2 - p. Calculate 78*o(j) - x(j).\nAnswer: 286*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15342 is divided by 667?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 526259.\nAnswer: 47, 11197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 57*a**2 - 13 + 3 + 2 + 7 - 42*a**2 in the form c*a**2 + x + b*a and give c.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -2*k**4 - 7*k**2\/2 + 4. What is the second derivative of x(w) wrt w?\nAnswer: -48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13.36 - 12.86. Sort h, 0.009, 1\/4, 0.4 in descending order.\nAnswer: h, 0.4, 1\/4, 0.009","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 43 - (32752 - 32807)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 9:24 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 30 = 5*p. Let a be (2 + (-2 - -1))*p. Let -4*t + 2*t - 3*t**2 + a*t + t**2 - 2 = 0. Calculate t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -2*s + 50. Let w be 1\/(-5) - 42\/s. Solve 4*m - 2 = -2*n, 0*n + 5*n + w*m + 1 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/2 (b) -1 (c) -0.1835 (d) 0.06 (e) -73 (f) -81 (g) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -11464 - -3\nAnswer: -11461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus 8211471302?\nAnswer: -8211471301.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42259 is divided by 39708?\nAnswer: 2551","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 8. Suppose 3*m = -t + 138, -m + 5 = -y*t - 34. Let g(s) = s + 9. Let v be g(0). Calculate the greatest common divisor of v and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 37775 and 435168.\nAnswer: 10879200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 41935 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**2 + 3*x - 4. Suppose -c = -2 + 4. Let f = 5 + c. Let i(z) = -z**2 + 2*z - 3. Let u(b) = f*i(b) - 2*q(b). Factor u(l).\nAnswer: (l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9150745 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 66.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21\/1383497 or 0?\nAnswer: 21\/1383497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*d - 188 = 0. Let j = -165 + d. Let q = 103 + j. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*s**4 + 21*s**3*u**2 - 1581*s**2 - 5931*s*u**2 + s - 365*u**2 wrt s.\nAnswer: 24*s**2 + 126*s*u**2 - 3162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c + 0*c - 5*c)*((2 + 2 - 1)*(-179 + 217 + 116) + 3 - 1 + 0 + (-5 + 4 + 4)*(4 - 2 + 0)).\nAnswer: -470*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (20 + -5 - -3) + -5 + -2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 178 = 5*j, -8*j + 12050 = 21*x + 12267 for j.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6877?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-7 - -1 - (-3 - 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - 20752583\nAnswer: -20752582.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iwoy when four letters picked without replacement from {y: 2, o: 1, p: 6, w: 1, i: 7}.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 14 (b) -0.4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 1 + o**2 + 107*o - 2 + 170*o in the form k*o**2 + j + y*o and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10153 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 288885183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 2:47 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.5 less than 2.8?\nAnswer: 16.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 2. Suppose 0*i + 2*i - 4*m = 12, 0 = 3*m. Let l be 6\/8 - 230\/40. Let r(z) = -z**2 - z + z + 2. Calculate i*r(d) + l*f(d).\nAnswer: -d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/7 - (-2)\/(-1). Let b = -0.115 + 4.815. Let g = b - 5. Is v greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33831490 a multiple of 2915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -346? (a) 0 (b) 4 (c) -11\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, o: 5, h: 2, d: 3, c: 7}. What is prob of picking 2 j?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/18*(-9)\/(((-252)\/(-8))\/(-21))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 124141 - 11?\nAnswer: 124130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -200.69016 + 200.2. Round o to three decimal places.\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y + 3. Let h(g) = 6*g + 3. Let s(v) = 5*v + 2. Let n(d) = -4*h(d) + 5*s(d). Give -3*m(z) - 5*n(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-28)\/30)\/((-672)\/36 + 19).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 95163.1 and -1.\nAnswer: -95163.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 13 - 3*y**3 + 0*y**3 + 2*y**3 + 1. Let r be q(0). Calculate the greatest common divisor of 21 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256*i + 529*i - 6280 = 0 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -400441122 - 421?\nAnswer: -400442043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -5*u**2. Let j(a) be the first derivative of -a**2\/2 + 7*a + 4. Let d be j(5). Let w(m) = -2 + 0 - 2*m + d. Give h(w(f)).\nAnswer: -20*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12.71 and -2823.\nAnswer: 35880.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80 + 86)*(-6)\/(-63)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**26*j*j))\/j*j*j\/(j**(-1\/41)*j)*j*(j\/(j\/(j**(-1\/7)\/j)))\/(j*j\/(j*j**(2\/21))) assuming j is positive.\nAnswer: j**(-24128\/861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-30)*((-440)\/32 + 15)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 311450 = 311459?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 5*x + 8. Let f be m(6). Let l = -40 + 42. Let g(r) = f - l + 0*r + 1 - 3*r. Determine g(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-2)*0 - -1. Suppose -l = f, 0 = -2*t + 4*f + 4 + 8. Solve t*m = -12, -3*x = -0*x + 5*m for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18901280.34 rounded to the nearest ten thousand?\nAnswer: 18900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21*(137240\/(-5922) + 23).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+649\nAnswer: 649.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o - 8914 + 8834 = 0 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*m = 42*m + 51*m + 130 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.345 to the nearest integer.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2851976 divided by -8?\nAnswer: -356497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2205, 2259, 2327, 2415, 2529, 2675?\nAnswer: 2859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(2 + 5 - 3)*(0*z + 0*z - z)*(2 - 2 - 4*z**2).\nAnswer: -16*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -340.611073 rounded to 1 decimal place?\nAnswer: -340.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1*sqrt(847) + (sqrt(847) - (sqrt(847) - (-2 + sqrt(847) + sqrt(847) + 1))) + -1)**2 + -6*((-1 + sqrt(847) + -1 + sqrt(847) - sqrt(847)) + 0) + 2.\nAnswer: -330*sqrt(7) + 7653","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*y - 64*y = -30. Let q(s) = 2*s**3 - 4*s**2 + 6*s - 10. Let l be q(y). Let 2\/9*n**l - 2\/3*n - 8\/9 = 0. Calculate n.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 919.\nAnswer: -2\/919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 68 and -55.5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1))**36)**(-3\/17)*((h**(-1\/3))**(31\/4))**(1\/24) assuming h is positive.\nAnswer: h**(30577\/4896)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -10121122?\nAnswer: 10121112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 23\/5 - 2\/(-5). What is the second derivative of -3*a + 5*a**5 + a + 4*a**o - 4*a**5 wrt a?\nAnswer: 100*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(-2)*8\/10. Suppose t*a - 8 = 5*g, 2*a + 2*a + 8 = -2*g. Let p = -115 + 120. Sort -2, p, a in descending order.\nAnswer: p, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 885 + -875. Solve -2*t + 2*j + l = 0, j + 0*j + 13 = 3*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ey when two letters picked without replacement from {q: 1, y: 1, e: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (336\/1568)\/((-2)\/21)*(-24)\/234?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, t: 1, h: 4}. Give prob of picking 1 t, 1 h, and 2 q.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10798 is divided by 349?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/110 and 37\/210.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.53 - 3.53. Let x = -0.227 - 0.053. Sort x, -4, d in ascending order.\nAnswer: -4, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j + 3*j + 9*j.\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 96170\/13 - 35648572\/4823. Let n = 1560000\/53 + -29435. Let w = n + x. What is the common denominator of 1\/6 and w?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 293163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.738729ml in litres?\nAnswer: 0.005738729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -32 in -2\/3, 4\/3, -4, -0.8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -67*p**7\/42 + 73*p**4\/2 - 52*p + 1. Find the third derivative of i(u) wrt u.\nAnswer: -4020*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b + 1. Suppose -11 - 7 = -3*a. Suppose a = 3*s - 12. Let f be 6\/(-9)*6\/(-4). Let i(o) = -7*o - 7. Calculate f*i(g) + s*y(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**3 - 3*h**2 + h + 3. Let j be v(-2). Suppose j = -5*u, 5*p - 2*u - 2*u = 159. Let y be (2 - -28)*(-7 + -3 + 11). Is y < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 + -43 - 9) + 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/21 and -53\/1184169.\nAnswer: 1184169","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4*a + 87. Let w be y(-21). Suppose 4*j - 3*p - 37238 = 0, w*j + 5*p = 11670 + 16273. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h*o*r + 955*h*r - 6*o*r + o + 4*r wrt h.\nAnswer: o*r + 955*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 164020 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of j**3\/6 - 12*j**2 - 50*j - 1254. Factor d(g).\nAnswer: (g - 50)*(g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*q**4 - 9434*q**3 + 801*q**2 + 6?\nAnswer: -72*q - 56604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.0536, -3, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {f: 4, z: 3, x: 5, l: 4}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 10:51 AM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2105 - 934. Let x = j - 517. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.466 + -5.4664787. What is m rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*v**3 - 40*v**3 - 14*v**3.\nAnswer: -77*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 18*l**3 + 7*l**2 - 261. Let n(g) = 7*g**3 + 3*g**2 - 131. Determine -7*n(m) + 3*s(m).\nAnswer: 5*m**3 + 134","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.844011 hours to days.\nAnswer: 0.410167125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(931) + 3) - sqrt(931))*6)**2 - (6*sqrt(114)*-1)\/((1*sqrt(60))\/sqrt(10)).\nAnswer: 45366*sqrt(19) + 849564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26*q*t*w**2 - 2*q*t*w + 8704*q*t - 2*q*w**2 + 4*q*w + 6958*t*w**2 + 5*w**2 wrt w.\nAnswer: -52*q*t - 4*q + 13916*t + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9440 = 40*w - 44*w + 44*w. What is the greatest common divisor of 3658 and w?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 353 - 227 + 444 = -57*h for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -5*x**2\/2 + 24. Let w(f) = -7*f**2. What is w(u(g))?\nAnswer: -175*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71 = 109*v - 106*v - 4*f, 0 = 3*f - 42 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from mmdkdmdkm.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 917 and 655.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r**2 - 4*r + 1. Suppose -3*c = -4*c - d + 2, 0 = d + 1. Suppose 0*j = -c*j + 18. Calculate the lowest common multiple of j and z(3).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 2*d - 3. Let x be b(2). Let v be (-5)\/(-2) + x\/(-6). Suppose -v*p + 0 + 6 = 0. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7650?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7*4 + 15\/90*42. Solve 14 = -42*t + m*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4265 times -0.164649\nAnswer: -702.227985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 106 + -10. Suppose -v + 3*v = -m. Let p be v\/(-22) - 10\/55. Solve -3*d = p*r + 1 + 3, -4*d + 3*r = -6 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (1 - 2) - -2) + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u + 9. Let o(p) = -3*p + 10. Let i(f) = 5*h(f) - 4*o(f). Differentiate i(g) wrt g.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - 0)\/((-2)\/(-5)). Let h be (p + 5)*1\/2. Solve 2*z + 8 = -h*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 19\/(-7) + (12 - 10)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*q**5\/3 + 256*q**4\/3 - 944*q**3\/3 + 1196*q**2\/3 - 634*q\/3 + 116\/3 = 0. What is q?\nAnswer: -29, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c + 3. Let z(f) = -4*f + 16. Let q(b) = -16*p(b) + 3*z(b). Let l(d) = -4*d. What is -5*l(x) - 6*q(x)?\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 426, 1710, 3902, 6996, 10986, 15866, 21630?\nAnswer: 28272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*v + 6*v - 34 = 0, 2*k + 4*v = 34. Let t = 38 - 22. Let g = k - t. Is g not equal to 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3902.89162 - 3903. Let d = 1.59 + -1.7. Let r = d - p. Round r to four dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 11:32 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eaef when four letters picked without replacement from afffofoee.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6562.99993077 - 6563. What is u rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1194 - 592. Is 43 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2417 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10879 divided by 643\nAnswer: 10879\/643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*z - 3 = 27*z + 5*t, 5*z - 4*t - 16 = 0. Let a(b) = -7*b**3 + 9*b**2 - 9*b. Let r(c) = -3*c**3 + 4*c**2 - 4*c. Calculate z*a(s) - 9*r(s).\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -4e144f?\nAnswer: 4e144d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(5*sqrt(432)).\nAnswer: sqrt(17)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 117128.8mm in meters?\nAnswer: 117.1288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 727 and 135528794?\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8605189, -17210360, -25815531?\n\"Answer: -8605171*c - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 9 - 4)*(5*u**2 - 2*u + 2*u) + u**2 + 3 + 0*u**2 - 2 to y + d*u + r*u**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a - 9*a**3 - 2 - a**2 + 2 + 3*a. Let g be c(-1). Let w(i) = 2*i + 6. Let j be w(g). What is the greatest common divisor of 60 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 5 - (-24 + 6).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((-5)\/2) + (-2 - (-825)\/125). Which is the third biggest value? (a) 22 (b) w (c) -1 (d) 0.5 (e) 4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8461242?\nAnswer: 2, 3, 277, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7985856?\nAnswer: 2, 3, 41593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*((-4)\/28 + (0 - 0))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in sixteen fifteenths of a hour?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m*m\/(m\/(m\/((m*m**(1\/25))\/m)*m)))\/m))\/((m**(13\/3)*m)\/m))\/(m**42*m**(8\/7)) assuming m is positive.\nAnswer: m**(-25429\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9414292 and -14.\nAnswer: 131800088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -166, -3, -1, -9.2, 4\/7, 5 in increasing order.\nAnswer: -166, -9.2, -3, -1, 4\/7, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 5*d - 276, -5*d + 426 = 5*b + 81. Calculate the highest common divisor of b and 345.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 9*n + 6. Let i be u(8). Let d be 1\/i*(-646)\/4. Let m = 80 - d. Which is the smallest value? (a) -5 (b) m (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2038 is divided by 99?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**29*a))\/a**(-18))\/((a\/((a**9*a)\/a))\/((a\/((a\/(a\/(a**(-31)*a)*a))\/a))\/a)) assuming a is positive.\nAnswer: a**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 43382584123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 119 plus 1.2?\nAnswer: 120.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.07 - 0.02. Let x = -0.2 - -0.5. What is the second biggest value in o, -0.5, x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 24, 18, -2, -42, -108?\nAnswer: -206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37 + 70. Let i be 3\/(1 - x\/6). Let d(z) = z - 11. Let l be d(8). What is the smallest value in 5, l, i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*z - 11*z + 0 + 2 + (1 - 4 - 1)*(0*z - z + 2*z))*(1 + 1 - 1)*(4 - 6 + 1) in the form w + u*z and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 6*a. Let o(c) = -8*c**2. Give m(o(f)).\nAnswer: -48*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 325415061 to the nearest integer?\nAnswer: 18039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + (((sqrt(136)*-2*-5 - sqrt(136) - sqrt(136)) + sqrt(136) + sqrt(136) - (sqrt(136)*1*6 + sqrt(136)))\/(4*sqrt(392)*3))**2).\nAnswer: 2369\/392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -8 - -7 - (-6)\/2. Let x be (-1)\/(-1) + (0 - u). What is the units digit of ((-2)\/2 - -3) + x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1520492 - 1520568.4607. Let w = q - -76.5. Is w greater than or equal to -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 100, 270, 602, 1150?\nAnswer: 1968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, z: 3, t: 3, n: 1, m: 2, c: 2}. What is prob of sequence ptmc?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**2 - 117*j + 68. Calculate i(-59).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 - (-16 + (12 - (10 + 0)))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 151639283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4743937?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**4 - 5*z**4 + 10*z + 123*z**3 + 2*z**2 - 133*z**3 = 0. What is z?\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 814 and 296?\nAnswer: 3256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**2 - 173*w - 515. Calculate f(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1186\/11 + (-10)\/(-55). Let y = 19 + u. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1308*b = 1305*b + 3*i - 18, i - 66 = 13*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 143*(0 - 397\/(-6)). Let h = 9487 - f. Find the common denominator of h and 51\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63853529?\nAnswer: 63853529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 6*p**3 - 7*p**2 + p - 1. Suppose -4*o - 12 = 8*z - 12*z, 3*o + 4*z = 26. Let i be v(o). Calculate the highest common factor of 84 and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wc when two letters picked without replacement from xwbxxwxxc?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -21619*j**3 + 19790.\nAnswer: -64857*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 121921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u**3 + 3*u**3 + 4*u**3)*(u + u - 3*u).\nAnswer: -u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21750\/(-58))\/(-75)*21\/5?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 1010010001001110010111000001?\nAnswer: -1010010001001110010110111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n - x - 14, 10 = 2*n - 45*x + 44*x for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - 6*(sqrt(72)*1 + sqrt(72)))*5 + -2)**2 - ((sqrt(72) + -1)*-1 - (sqrt(72) + -2*sqrt(72) + 3))**2*6.\nAnswer: 1320*sqrt(2) + 217780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(616)\/(sqrt(33)\/sqrt(3) + sqrt(11)) - sqrt(56)) + sqrt(5600)*1 + sqrt(5600))\/(sqrt(96)\/(sqrt(96)\/(sqrt(16)\/sqrt(2)) + sqrt(12))).\nAnswer: 39*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 12168984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 7*y**2 - 5*y + 6. Let n be s(-6). Let r = 529 - 598. Let f = n + r. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8994 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 405247.6 hours to nanoseconds.\nAnswer: 1458891360000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -5*t - 6*t - 4*t + 7*t - 9. Let o be d(-5). Suppose 2*p - 20 = 6*p, -3*p + o = g. Is 15 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -560.7 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.77 * 1\nAnswer: 0.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -94, -202, -336, -496, -682, -894, -1132?\n\"Answer: -13*d**2 - 69*d - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2913915 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f + 12 = 3*q, 2*q + 2228 - 2236 = -0*q + f for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4*t - 10. Let a be i(-4). Suppose -4*q - 44 = -4*l, q + a = 2*l - 8. Let w be (2\/(q\/3))\/((-5)\/(-100)). Which is greater: -14 or w?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-228)\/8*(-2)\/3. Let f = -17 + p. What is the smallest common multiple of 42 and f?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of 7*q**4\/12 - 47*q. Let z(y) = y. Determine z(l(x)).\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.018217347 to 4 decimal places.\nAnswer: -0.0182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 417 - 418.362. Let d = s - -0.82. Round d to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160379 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: Subtract 2891417 from 19.\nAnswer: -2891398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a decade in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 57.87762 to the nearest integer.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.450306816247 minus 5?\nAnswer: -3.549693183753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1111101101000 (base 2) to base 4\nAnswer: 1331220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11, -27, -47, -71?\n\"Answer: -2*k**2 - 10*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 19*g = 160. Let v be 8\/(-12)*6\/g. What is the closest to -0.1 in -0.1, v, 1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kuqqekqdkkdqqu. Give prob of sequence dqe.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/9 + 12832*z**2\/9 - 102752*z\/9 + 205568\/9.\nAnswer: 2*(z - 4)**2*(z + 6424)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 33 - 63 + 30 + 218*f as y + c*f and give c.\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + n**2 + 1. Let i be p(0). Let v be i*6\/(1 - 3). Suppose -c - c = 4, -5*w = 2*c + 24. Put v, 4, w in decreasing order.\nAnswer: 4, v, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-3 + 4) - (4 + 10).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 131, 132, 133, 134, 135, 136?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*w**3 + 1087*w**3 - 13*w**3)*(17*w - 11*w - 9*w) as z*w**4 + s + g*w**2 + y*w**3 + v*w and give z.\nAnswer: -3183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/sqrt(3))\/sqrt(11)*-3.\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 105448227 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 - 5)*(-28 + 19*l + 28 + 3*l + 3*l - 7*l + (-l + l + l)*(1 + 6 - 5)) to a + d*l and give d.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 5:52 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qxqxqxqqqnnnq. What is prob of sequence qxxn?\nAnswer: 21\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 60, 126, 198, 276, 360?\n\"Answer: 3*y**2 + 57*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2797803, 2798201, 2798599, 2798997, 2799395, 2799793?\nAnswer: 2800191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.91 - 0.09. Let x = 0 + g. Let r = 14734 - 14734.1. Sort r, 0.2, -3, x in ascending order.\nAnswer: x, -3, r, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*m**4 - 1042*m**3 - 406455*m + 427789082 wrt m.\nAnswer: -8*m**3 - 3126*m**2 - 406455","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -298 - 112. Let f = w + 607. Calculate the remainder when f is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d**2 + 4*d**2 - d**2 - 11*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190*k**3 + 99*k**3 + 82*k**3 - 82*k**3.\nAnswer: 289*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -g**6\/120 - 3*g**5\/20 - g**4\/4 + g**3 - 119*g**2. Calculate z(-7).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2087048065.\nAnswer: 5, 19, 21968927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14 + 1044?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 10*a + 26. Suppose -3*s - 24 + 4 = -4*i, 0 = -2*s - i + 5. Let b = 12 - s. Let l be c(b). Solve w + l = -w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2 + (0 - 1 + 0)*(-1 - 2 - 2))*(0*v - 2*v + 7*v).\nAnswer: 35*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 3130?\nAnswer: -3200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k - 177 + 161 = 0. Let j = -5 - -4.6. Which is the smallest value? (a) j (b) 1\/3 (c) -0.3 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)*-1*-5)\/(sqrt(10) + (sqrt(360) - (sqrt(360) - -1*sqrt(360)))) - (sqrt(49) - sqrt(98)\/sqrt(2)*-1)\/(-6*-1*sqrt(7))) + -1.\nAnswer: -4*sqrt(7)\/3 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 6:47 PM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 395524 is divided by 4883?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 19 - (-8 + (-11 - -13))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 + 25. Let q(b) = b**2 + 13*b - 16. Is q(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w - 21*w + 5 - 5 + 15*w.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -525 + 524152?\nAnswer: 523223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - ((-17 - 20) + -2).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand i - 13*i - 9*i + (-4 + 2 + 5)*(4*i - 5*i + 3*i) + (-1 + 1 + i)*(6 - 3 - 1) - 5 + 5 + i.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lttzzleltl. What is prob of sequence te?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 130 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -3*r + 9, -5*y + y + 9 = 3*r. Suppose 2*z + 1 - 9 = y. Solve -4*g - 3*b + 13 = -6*b, z*b = -2*g + 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 - 200*n**2 + 205*n.\nAnswer: -5*n*(n - 1)*(n + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -31*a + 29*a - 13112, 0 = -2*m - 4*a + 6536. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49 - -49.13. Let y be (-292)\/(-176) - (-160)\/(-176). Which is the third smallest value? (a) -2\/13 (b) n (c) -5 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**4 - 2 - 1 + 2 + (7 + 2 + 0)*(0*a + 0*a - 7*a**4).\nAnswer: -65*a**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, u: 1, w: 1, d: 1, b: 1, f: 1}. Give prob of picking 1 f, 1 u, and 1 d.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 54*t**2 - 7*t - 4. Let i be -5*(3 + (4 - 9)). Let f be (-26)\/6 + i\/(-15). Is v(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - c + 176 - 160 = 0, 5*i + 2*c - 12 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-20)\/(-7) - 4) + 2)\/(69\/644)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-4 + 20 + -28).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 400385044.\nAnswer: 2, 1381, 72481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away 0.06902?\nAnswer: 1.93098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 108 and 3360?\nAnswer: 30240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 17*l**2 + 13*l - 40. Let p(x) = 3*x**3 - 33*x**2 + 25*x - 79. Let i be 4\/(-2)*(-5)\/(-10) + 6. Let g(y) = i*q(y) - 2*p(y). Is g(-20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/9*(-18)\/30.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -336, -344, -382, -468, -620, -856?\nAnswer: -1194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, o: 3, t: 2, n: 5}. What is prob of picking 1 n, 1 i, and 2 o?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 + (-2 - (3 + -8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u = -19*u + 7*u + 264 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 13*r**2 + 11*r - 6. Let x be z(-12). Let t be x\/30 + 2\/40. Let s be (18\/(-15))\/(20\/(-25)). Which is the smallest value? (a) -4 (b) t (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 5*v + 6. Let i be q(7). Let r(f) be the third derivative of f**5\/60 + f**4\/3 + f**3 + 11*f**2. Determine r(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01236 times -0.2\nAnswer: 0.002472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-4*(sqrt(147)*1 + -3))**2.\nAnswer: -672*sqrt(3) + 2494","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -m - 3, 2*m + 17 - 3 = 2*n. Let r(h) = 2*h**2 + 16*h + 14. Calculate the lowest common multiple of 6 and r(m).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8606 + -8621. Let z(a) = -a**3 - 15*a**2 - 2*a - 20. What is z(w)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**4 + 2*z**3 - 2*z**3)*(3 - 2 + 1) + z**4 + 0*z**4 - 4*z**4 + 319*z - 319*z + 13*z**4.\nAnswer: 16*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 40*a - 79. Let s be o(2). Let u(v) = 3*v + 16. Let f(z) = 2*z + 8. Calculate s*f(p) - 3*u(p).\nAnswer: p - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 68 = 0, -5*y - 6472 = -4*j - 6391 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -2*c - u - 21, 3*c + 5*u - 17 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1088)*4 - (sqrt(85)\/sqrt(245))**2.\nAnswer: -17\/49 + 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -286, -406, -512, -598, -658?\nAnswer: -686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + 1 + -3 + 1. Solve w - w**2 - w**4 - w + 2*w + 4*w**a = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4133 is divided by 112.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 377987 divided by -4?\nAnswer: -377987\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82028222.\nAnswer: 2, 409, 100279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -44 - -81. Let w = u + 116. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2152 = o. Suppose -b + 639 = -5*u, -5*u - 1450 = -4*b + o. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0*f = 0. Let z = 7 + -5. What is the derivative of z + i + f*i + i wrt i?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1240\/2640 - (-12)\/33.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35886 + -17686. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 11.46955 centuries?\nAnswer: 1.146955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/7 in -0.5, -20, 6, 2\/19?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*j - 532 + 196 = 0 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xr when two letters picked without replacement from {x: 1, r: 1, i: 7, o: 1, f: 3}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51990, 52972, 54608, 56898, 59842, 63440?\nAnswer: 67692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 108 and 12?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 5:08 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 (base 10) in base 4?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**2 - 11967*v + 989010 = 0 for v.\nAnswer: -4070, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 3*x + x - 2*x + 4. Let v be f(4). Suppose -4*k = -b + 10, -4*k - 4 = 5*b - 6. Sort v, 2, k in decreasing order.\nAnswer: v, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 2*p. Suppose z + 6 = -2*s, -5*z + 7*s - 3*s + 26 = p. Factor 2*g**3 + 8*g - 4 + g + 0*g - 8*g**z + g.\nAnswer: 2*(g - 2)*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g\/(g**(-7)\/g*g))*g**(5\/2)*g*g**(-5\/2)\/(g\/g**(-5))*g**(-1\/9)*g*g**(-1)*g*g*((g\/(g**(-3\/8)\/g))\/g)\/(g\/g**(-4)) assuming g is positive.\nAnswer: g**(-989\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5, -20, -61, -140, -269, -460, -725, -1076?\n\"Answer: -2*t**3 - t**2 + 2*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -558 + 9489\/17. Do y and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -23*k**2. Let o(u) be the first derivative of -13*u**3\/3 + 68. Calculate p(o(s)).\nAnswer: -3887*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 5*o - 2. Let m(l) = -l**2 + 21*l + 39. Let x be m(22). Suppose 0 = 4*i - w - x, i - 4*i = -2*w - 9. Determine y(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/4 (b) 4 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**3 - 945*b**2 + 2*b**3 + 932*b**2 + 3 to p*b**2 + d + u*b**3 + c*b and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0373 + 119593.\nAnswer: 119592.9627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 11.05. Let f = o + -0.55. Which is the nearest to 1? (a) 0.3 (b) f (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 0.06, -2 in ascending order.\nAnswer: -2, -2\/7, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*h - 5 = 3*m, -h = 1. Let b(a) = 5*a - 109*a**2 - 112*a**2 + a**3 + 226*a**2 + 2. Give b(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, r: 2, c: 1, p: 3, k: 1, l: 1}. What is prob of sequence kp?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: -163 + 86 + 72 + -14\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7558 - 268?\nAnswer: -7815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -p**5\/40 + p**4\/16 - p**2\/8 + p\/8 + 10. Determine r so that h(r) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -47144*w**2 - 242669.\nAnswer: -94288*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/180*-5 - (-74)\/(-12). Let f = m - -5. Is f > -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-16)\/(-14))\/((-4)\/(-196)). Suppose 73*o = 71*o + z. Solve -4*y = 32 - o for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.3 - -2. Let w = -0.3 - j. Let t = -84 - -82. Which is the closest to w? (a) t (b) 5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 11:42 PM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {i: 1, k: 1, q: 1, p: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5641, -5643, -5645, -5647, -5649?\n\"Answer: -2*o - 5639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 28*q**2 + 36*q + 32. Let c be r(27). Suppose 0 = -5*p + 155 + c. Is 8 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005174 to 6 decimal places.\nAnswer: -0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94936 is divided by 470.\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -205721 + 298760. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1152100 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11208.587 rounded to the nearest ten?\nAnswer: -11210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 36695497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 475 + -531. Let z = f - -55.3. Let x = -0.05 + -0.35. Sort z, x, 1 in decreasing order.\nAnswer: 1, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4290 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9834 + -8880. Is r a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89240, -178478, -267716, -356954?\nAnswer: -446192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-693)\/(-42) - 10\/4. Calculate the highest common factor of a and 224.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*z + 860. Suppose 3*b - 1669 = -5*w + b, 329 = w + 2*b. Let a = w + z. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 731*u + 52 + 16 = -17*v + 722*u, 4*v + 16 = -u for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -291427478*r**4 - 430816302.\nAnswer: -1165709912*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 568400 and 301840.\nAnswer: 43766800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 186653280 a multiple of 530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p**3 - 3720530*p**5 - 2*p**2 + 3719456*p**5 - 106 + 0*p**2 + 10*p**2 wrt p?\nAnswer: -64440*p**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 - 1 + 1)*(0*f - 4*f + 2*f) + 349902*f + 13*f**3 - 349902*f + 9.\nAnswer: 11*f**3 + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 10\/39, -1.1, 2\/9, 0 in increasing order.\nAnswer: -1.1, 0, 2\/9, 10\/39, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -57307 and -5214.55431.\nAnswer: -62521.55431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + g = -48. Solve -2*s - g = 4*f, 4*s - 28 = -f + 4*f for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1421*h**2 + 1367*h**2 + 30*h**2 as v*h + i*h**2 + z and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1969300, 1969302, 1969306, 1969312, 1969320, 1969330, 1969342?\nAnswer: 1969356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -104 and -167.\nAnswer: 17368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -58 + 58. Solve -3*h = 0, d = 2*u + 3*h + 16 - 6 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence izn when three letters picked without replacement from irgiznaa.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-1)*h*h\/((h**(5\/3)\/h)\/h))\/((h\/(h*h*(h\/h**(-1))\/h*h))\/(h\/(h**(3\/7)\/h*h))) assuming h is positive.\nAnswer: h**(166\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 819.1993 years to months.\nAnswer: 9830.3916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41280?\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-6)*u*u\/(u*u**2)*(((u**(1\/6)\/u)\/u)\/u)\/u**5*((u*u**(-4))\/u*u)\/(u**(-2\/11)\/u)*u**(-3\/5)\/((u*u**(-5)*u)\/u) assuming u is positive.\nAnswer: u**(-4373\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 11*p**2 + 2*p - 7. Let k be (-1)\/1 - (0 + -12). Let z be f(k). Let t be z\/(-40)*28\/6. Which is bigger: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yvvyvvyvvvyvvyvvvyy. What is prob of picking 4 v?\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3868403 + c?\nAnswer: -38683c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*g - 38*g - 53*g + 138*g - 46*g.\nAnswer: -26*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3901*t + 2018 wrt t?\nAnswer: 3901","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9198 and 564071?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 5*r**2 + 2*r - 7. Suppose d = 3*x + 15, 3*d - 3 = -x - 4*x. Give a(d).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -67 + 105. Calculate the remainder when r is divided by (7 - 2)*(-8)\/(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 2*v + 20. Suppose 0 = -h + 2*t + 2, 2*h = t + 1 + 12. Let r = 34 + -27. Solve -v*w + h = -r for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 8*p + 10. Let a be z(-9). Let m be ((-15)\/10)\/(2\/(-4)). Differentiate 4*s + 2*s - a - m*s - s with respect to s.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18743.\nAnswer: 18743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 a when two letters picked without replacement from jjajajaajjjjaaaaajjj.\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -1 + 17. Let o(t) be the first derivative of 5*t**2\/2 + 5*t - 14. Determine o(y).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1220151*b**3 - b - 17174999?\nAnswer: 3660453*b**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 3 = 0, -3*p - 39 = 515*b - 510*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 8*c + 12. Let q(n) = -2*n - 3. Suppose 0*z = -z - 9. What is z*q(p) - 2*x(p)?\nAnswer: 2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 943 is divided by 313?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2884771 is divided by 1203?\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7597240.\nAnswer: 2, 5, 7, 43, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s + 3 - 2 - 3*s + 6. Let h = 259 + -258. Let x(y) = y - 1. Calculate h*t(r) + 5*x(r).\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4900)\/1911 + 6\/26?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37733 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z + 2*c - 4, 43*z = 40*z + 4*c - 3 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14215 divided by -350?\nAnswer: 2843\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -272, -545, -806, -1049, -1268, -1457?\n\"Answer: q**3 - 280*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 110760?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -92398, -92390, -92376, -92356, -92330, -92298, -92260?\n\"Answer: 3*n**2 - n - 92400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + 0 - 5\/(30\/(-12)). Suppose h*i - 451 = 1385. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1166721152 to the power of 1\/2, to the nearest integer?\nAnswer: 34157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 1253*u - 1254*u - 4 - 5. Calculate m(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j**2. Let c(d) = 418*d + 190. Let l(t) = -13*t - 6. Let k(x) = -3*c(x) - 95*l(x). Determine g(k(z)).\nAnswer: -1083*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48206457 and 105183.\nAnswer: 3627","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -73, 4 in increasing order.\nAnswer: -73, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l = -9487 - 13373. List the prime factors of l.\nAnswer: 2, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f*g**3 - 12*f*g + 2*f*h - 93*g**3*h with respect to f.\nAnswer: -2*g**3 - 12*g + 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**2 - 62*a + 24. Calculate c(-9).\nAnswer: 825","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 81 = -i, -2*i - 2 = -4. Suppose 19188 = 16444*f - 16418*f. What is the highest common factor of a and f?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 1:11 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18\/5? (a) 1\/8 (b) 2\/17 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*a - 4*a + 7. What is the units digit of (a + -1)*(-29)\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20110 - 0?\nAnswer: -20110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 8204\/280 - 29 - (-16)\/5\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x + 34. Let d be f(8). Suppose 0 = 5*n + d + 10. Let y be -2 - (-8)\/2 - n. Solve 0*o - 3*o + y = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 2:12 AM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-3))\/(451*(-96)\/(-3936)).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3495 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - -1)*(5 + -1). Suppose -p - m + 66 = 0, -5*p - m = -u*m - 346. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-13)*(-370)\/555)\/((40\/12)\/(-5)).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/5*-3*(-25)\/(-10). Solve w*b + 18 - 33 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -2*h - 2*p, -86*p = h - 83*p + 10 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 4. Suppose 3*y + 0*o - 31 = -o, 4*y + a*o - 33 = 0. Let p = y + 7. Is p a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*(1 + (-15)\/(-2)). What is the highest common divisor of 187 and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-4)*40\/60.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 65 + -45. Let f(t) = -t**3 - 39*t**2 - 41*t + 66. Let j be f(-38). Calculate the greatest common factor of n and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f - 14*f + 636*f**2 + 0*f + 424*f**2.\nAnswer: 1060*f**2 - 16*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 45144*b. Let j(a) = 3*a. Calculate q(j(l)).\nAnswer: 135432*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j = -10 - 7. Which is the nearest to j? (a) 0.1 (b) 2 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 15) + (2 - (0 + 0))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {x: 1, q: 1, b: 3, d: 2, j: 4, m: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -242*z - 5. Let l(q) = -27*q**2. Calculate l(a(c)).\nAnswer: -1581228*c**2 - 65340*c - 675","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 9*v + 22. Let u be f(-11). Suppose m - 5*i = 123 + 54, u = 5*m + 2*i - 966. What is the greatest common divisor of m and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46461?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 11*g**2 + g + 25. Let n(v) = -5*v**2 - v - 12. Let p(j) = 6*i(j) + 13*n(j). Let r be p(9). What is the highest common factor of r and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(9\/4)*3. Let v(w) = w**2 + 6*w + 2. Let j = 38 - 40. Let d(x) = -2*x**2 - 7*x - 1. Let c(l) = j*d(l) - 3*v(l). What is c(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -4 + (5*(-1 + (2*sqrt(147) + -2)*-2 + 5))**2 + 5.\nAnswer: -11200*sqrt(3) + 60405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, 2.9, 299, 3\/152 in increasing order.\nAnswer: 3\/152, 2\/17, 2.9, 299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9346241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1000 (base 13) to base 14\nAnswer: -b2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*x + 450844 + 684332 = 111*x. What is the hundreds digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -770a1e - -1?\nAnswer: -770a1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*v - 60*v = -45. Let c(a) = 2*a**2 + 14*a + 13. What is the remainder when 683 is divided by c(v)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 5*w + 31 = 0, 2*w = -r + 7*w + 19. Suppose 0 = -2*m + c + 4, -1 = -3*m - 0*m + 4*c. Let x be 1\/((-3)\/6) + m. Sort 2, r, x.\nAnswer: x, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o - 5*r = -6*o - 20, 12 = 4*o + 2*r for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-729)\/162*(-3)\/(-27)*2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g. Let t(b) = -9*b**2 + 4. Let u(o) = -10*o**2 + 5. Let k(y) = 5*t(y) - 4*u(y). Calculate c(k(m)).\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 5*i**2\/2 + 2*i + 359. Let u(r) = 14*r + 5. Let x = 6 + -14. Determine x*k(s) + 3*u(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-2) + (5 - 7) + 0. Let p be 3*3\/9*h + 26. Let l = 29 - p. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40825488 is divided by 1805.\nAnswer: 1803","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/9*d**2 - 8\/9 + 2\/3*d = 0 for d.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 406801 is divided by 1681.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 851928 divided by -924?\nAnswer: -922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/((-21)\/(-2))*4\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -4. Suppose g + g - 58 = f. What is the remainder when g is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 218 (base 9) to base 7\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 4, n: 8, c: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/4))**(3\/20)\/(f**(-1\/4)\/(f\/f**(-1))))**(-2\/17) assuming f is positive.\nAnswer: f**(-177\/680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 2893030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46 + 45. List the prime factors of (11*j + 1)*20\/(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -2.5. Let y = 0.58 - 0.31. Let a = 0.37 - y. What is the nearest to a in 1, x, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_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: Simplify sqrt(24)\/sqrt(392) + (sqrt(6) + sqrt(6)*4)\/sqrt(2) + sqrt(3) - (3 + (sqrt(18) - sqrt(216)\/(sqrt(72)\/sqrt(6)) - sqrt(18))\/sqrt(6))**2.\nAnswer: -12 + 85*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 370440491?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 13 = 4*s, -5*x = 5*s + 6 - 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5*h**2 - 15*h + 5. Let m(b) = 5*b**2 - 18*b + 6. Let r(k) = -6*g(k) + 5*m(k). Let i(x) = -x**2 - 4*x + 13. Let u be i(-6). Determine r(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355800 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(9\/32*(-26 + -160*(-3)\/18)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1937.3342 to the nearest 10.\nAnswer: 1940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 + (12 - (-61 - -25))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11454.\nAnswer: 2, 3, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*1 + (9 - (-5 + 531017)). Round p to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/176 and 19\/400.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 3*d + 2. Let t(i) = 13*i**2 + 12*i - 2. Let o(r) = -3*r**2 - 3*r + 1. Let w(h) = -5*o(h) - t(h). What is -3*u(k) - 2*w(k)?\nAnswer: -k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -584, -720, -844, -950, -1032, -1084, -1100, -1074?\n\"Answer: v**3 - 143*v - 442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3284663.\nAnswer: 19, 172877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 9533 + 821 = 0. Let c = 10777 + b. What is c rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 890937.6 hours?\nAnswer: 3207375360000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 58285\nAnswer: -4\/58285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) 849 (b) 15 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 4*u - 0*f + 44, -4*u - 24 = -3*f. Let p be (30\/(-75))\/(6\/15). What is the second biggest value in u, 0, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -2*a**2 + 19*a - 29. Let x be u(2). Solve -2*n + 3*f - 7 = 0, 0 = -4*n + 4*f - 1 - x for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 1:43 AM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58 + -34. Suppose 30 = -5*b + 100. Suppose 0 = -b*t + 13*t + 3. Calculate the greatest common divisor of m and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -407, -672, -831, -890, -855, -732, -527, -246?\n\"Answer: -z**3 + 59*z**2 - 435*z - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/10)\/1*915\/18. Let u = h + -15. What is the closest to 0 in u, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39440 and 807296.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 10:08 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1241 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + o - 1. Let h be i(-3). Let x = -3 + h. Suppose -x*m - 4 = -3*m. Solve 0 = -3*a - m*y - 29, -4*a - 7*y = -2*y + 37 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2979, -489, -3957, -7425?\nAnswer: -10893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 682679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -123, -125, -127, -129?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 22632?\nAnswer: -22636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -3.2. Let i = 0.7 + -2.7. Sort -5, k, i in descending order.\nAnswer: k, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 3*t)*(-109*t**2 + 544 - 276 - 268).\nAnswer: 327*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/5)\/(2\/10). Find the first derivative of 3*i**2 - i**j + i**2 + 2 + 1 wrt i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of 2*m**4\/3 + m**3\/2 + 8*m**2. What are the prime factors of o(4)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-62)\/(-28))\/(9 + 282\/(-30)). Let y = 37\/7 + g. Let n = -41 - 16. Which is smaller: y or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 6. Let w = k - 8.09. Let v = w - 0.91. What is the second biggest value in v, 3, -3\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 79371?\nAnswer: 555597","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3400 - 505 = -5*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g + 3. Let j be d(-6). Solve -5*o + j + 1 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**5*b**(-1)*b*b**(1\/2)*(b\/(b\/b**(-1\/2)))\/b)**(-43))**35 assuming b is positive.\nAnswer: b**(-6020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1892 by -22.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1 - 3 - 1 - 6*p**3 - 3 wrt p?\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32 and 5 + 17\/((-1802)\/464).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {a: 5, t: 8}.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29166667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*h**2 + 217*h**2 + 52*h**2 + 7*h - h - 4661 + 13*h**2 wrt h.\nAnswer: 540*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 96 - 83. Suppose -7*w = -c*w + 636. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10010220 - 202112020?\nAnswer: -122101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**2*j)\/j**(1\/16))\/((j*j*j**(-6)*j)\/j**(1\/9)))**(-19\/6) assuming j is positive.\nAnswer: j**(-16549\/864)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -0.7 in descending order.\nAnswer: 1, -0.7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 28 = 5*q. Let h = 1 - 0.4. Let f = 0.8 - h. Sort q, f, -5\/3 in decreasing order.\nAnswer: f, -5\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 20166566 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.271553276 rounded to one decimal place?\nAnswer: -24.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.291 take away -44.2?\nAnswer: 42.909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40866568 and 488.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 498 is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**3 - j**4 + 2*j**3 + (3*j - 4*j - j)*(29*j**3 + 45*j**3 + 7*j**3) in the form z + c*j**3 + m*j**2 + d*j + q*j**4 and give q.\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/18656 and 31\/183062?\nAnswer: 2928992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j + 4*j - 3*j)*(j + 3*j - 2*j) - 2*j**2 + j**2 + 0*j**2 + (-j + 0 + 0)*(-2*j + j + 4*j) + 74 - 74 - 3*j**2 to the form q*j + l + b*j**2 and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 1 + (8 - 17). Sort h, 4, 5, 2 in descending order.\nAnswer: 5, 4, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v - 6*u + 7268 = -2*u, 0 = -3*v - u + 1677. Calculate the smallest common multiple of v and 2.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -2794504.8199?\nAnswer: -2794506.8199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/5676 and 19\/919512.\nAnswer: 919512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 37, 61, 85, 109, 133?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3.6 (b) 6 (c) 0.154 (d) -0.6 (e) 9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -27 - 3516?\nAnswer: -3545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 0.027, 3, 5 in decreasing order.\nAnswer: 5, 3, 0.027, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 204.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -9. Suppose -q + h*q - 3*o - 3783 = 0, -4*q = -2*o - 5036. Suppose 3543 + q = z. What is z rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 131*s**2 - 1022*s - 7733. Give p(-138).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z + 9. Let b be t(8). Let k(r) = 6*r**3 - 2*r**2 + 2*r - 1. Calculate k(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 + 5 + 0)*0*-1. Suppose -2446 = -4*z - 2*j, q*z + 4*j = -3*z + 1832. What is the greatest common factor of z and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 276 and 243.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3231788 divided by -807947.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154124\/212*(1 - -52)?\nAnswer: 53, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 2)*(-2 - 2 + 3)*(-4 - 2 - 4)*(-2*n - 3 + 3) in the form d*n + i and give d.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-1320)\/(-94)) + 8\/(-96)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 10101?\nAnswer: 10010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 60040378?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20\/11 in 13, 341, 10, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/393459 and -62\/9.\nAnswer: 1180377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 times 277.6839?\nAnswer: -3054.5229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6191 at least as big as 105270\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/5472 and 19\/96.\nAnswer: 5472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 21*a**2 - 672*a - 6091. What is w(-9)?\nAnswer: 1658","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4\/3 - 160*f**3 + 3796*f**2\/3 - 3152*f + 7552\/3.\nAnswer: (f - 472)*(f - 4)*(f - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 239.7753 decades in centuries?\nAnswer: 23.97753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.6 * 14.7\nAnswer: 23.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 - -15. Suppose 6*z = -2*b + 2*z, -5*z = 5*b - 5. Let n be 0 - b - 1 - a. Solve -y + 4 = n for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-1) + 1)\/((-9)\/24). Let c be 99\/18 - n\/(-2). Let x = 28\/5 - 32\/5. Sort x, c, -0.1 in decreasing order.\nAnswer: c, -0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3374 + 3382. Solve 3*b = -4*l, 0 = y*l - 3*l - 5*b + 35 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 8*w**2 - 9*w + 4. Let l be q(-9). Suppose l*y - 29 = 23. Let x = y - 9. Solve 2*v + 0*v + 26 = 5*s, x*s = -v + 13 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {j: 8, z: 2}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - 28*l + 63. Let f be j(31). Calculate the greatest common factor of f and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 5*d + 27. Let y(u) = u - 1. Let k(m) = a(m) - 2*y(m). Let l(j) = -2*j**2. What is k(l(o))?\nAnswer: -6*o**2 + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z + 2*z**3 + 42 + 594*z**2 - 296*z**2 - 297*z**2 as i*z**3 + s + u*z + g*z**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/204 and 59\/12408552?\nAnswer: 210945384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + sqrt(243))**2 + 3 - 2*6*sqrt(243)*-2.\nAnswer: -485 + 252*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3020803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4608*k - 4619*k = -y + 126, 2*k + 42 = 4*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -899017705.1 and -0.1929.\nAnswer: -899017705.2929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from kokkokohkok.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 95366764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and -15303.27701.\nAnswer: -15302.27701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + -39\/2. What is the nearest to 1 in 2\/3, z, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/59299 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 147 - 72. Suppose 158*q = 151*q + 105. Calculate the highest common factor of q and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/((s*s\/s**4)\/s))\/s*s)\/s*s*s\/((s\/((s*s**(-2\/15)*s)\/s))\/s))\/(s\/(s**(-2)\/s)*s\/(s**(-1\/10)\/s)*s))**(4\/11) assuming s is positive.\nAnswer: s**(-74\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/47? (a) -332 (b) 0.5 (c) 0 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*a + 11, c + 2*a - 9 = 2. Let y = 15 - c. Suppose -y*o + 21 = -3*o. What is the remainder when o is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -158578463 + 158578445.00000036. Let z = 64 - 46. Let v = z + p. Round v to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4*o = -2*o - 62, -5*c - 2*o + 146 = 0. Let w be 2\/8 + c\/16. Solve -2*v + 17 = -5*k, w*k + 3 + 5 = 2*v for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 98.27 - 72.762. Let j = -0.292 - v. Let o = j + 26. Which is the nearest to 1? (a) -2 (b) -0.5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -8. Let m = -62 - -58. Put -2, a, m in ascending order.\nAnswer: m, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/4 + 2829*h\/2 + 5659\/4.\nAnswer: -(h - 5659)*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = r, -2*c - 766 = 4*r - 17878. What is the thousands digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19 or 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2 - 8*y + y**2 - 2*y**2 + 2*y**2. Let u(x) = -21*x**3 - 2*x**2 - 2*x - 1. Calculate the remainder when u(-1) is divided by t(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 - -0.7. Let b = 49.4 + -49. What is the smallest value in q, b, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -16 * -0.025\nAnswer: 0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (270\/(-324))\/(15\/(-12)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2405 take away 143234313988?\nAnswer: -143234311583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -4*l + 10. Solve l*h + 9 = -c, -4*h + 16 = -5*c - 0*h for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nvazrzzaivvvznnvaa. What is prob of picking 1 i and 1 z?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -427 - 10.\nAnswer: -437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 15*z**2 - 4*z + 4. Is y(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvyy when four letters picked without replacement from vyyvyvyvvv.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 + 3*r**2 - r**3)*(-20 + 0 - 2 - r)*(3 - 3 - 2).\nAnswer: -2*r**4 - 44*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z\/(z\/(z*z*z*z**7*z*z*z))*z)\/(z*(z\/(z**(-3\/4)*z))\/z))**(-38) assuming z is positive.\nAnswer: z**(-1159\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, z: 6, h: 3, k: 1}. What is prob of picking 3 h and 1 z?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/2*(8 + 350\/(-21)). Calculate the highest common divisor of 1 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -20322, -20325, -20330, -20337, -20346?\n\"Answer: -h**2 - 20321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**3*f**2 + 93*c**3*f + 12*c**2*f - c*f**2 + 2 wrt c?\nAnswer: 12*f**2 + 558*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23770188737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + f + 25 = -3*l, 3*l = 3*f + 3. Let b be (-7)\/14 + (-226)\/f. Does 14 divide b\/4 - -1*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000223500579 rounded to 6 dps?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 121785681 a multiple of 219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -28*c**2 - 1021*c + 1023. What is d(1)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -3*d**2 + 7284*d = 0.\nAnswer: 0, 2428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**2 + 5*o - 5. Give u(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r\/r**(-1\/56)))\/r**(9\/10) assuming r is positive.\nAnswer: r**(23\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 4*n**2 + n - 1. Let k be r(4). Suppose -5*m = -4*s + 29, 0 = -k*s + 6 - 3. Let j(o) = -3*o - 12. Let c be j(m). Which is smaller: c or 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - m = -z + 2073 - 2072, -48*z + 2*m + 44 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 2. Let w(l) = -3*l**2 - 7. Let y(f) = 14*n(f) + 4*w(f). Let z(j) = 2*j**2 + 51*j. Determine y(z(k)).\nAnswer: 8*k**4 + 408*k**3 + 5202*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 3*h + 5*c + 16 = 0, 217*h - 44 = 216*h + 7*c for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4}. What is prob of sequence zzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**(-19)\/p)\/p)\/p)\/p)**(4\/17)\/((p*((p\/(p*p**(-29)*p)*p)\/p*p)\/p)\/((p\/(p**21*p)*p)\/p)) assuming p is positive.\nAnswer: p**(-942\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + 7*w + 4. Let n be v(-7). Let k be (-16)\/((-4)\/n) + -4. Solve 0*l + k = 3*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 361b (base 15) to base 14\nAnswer: 4297","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -39, 2, 129.3, -1\/6?\nAnswer: 129.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2188\/4376)\/((-1)\/52).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 523429682 to the nearest integer?\nAnswer: 22879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -58616*t**3 + 3*t + 933496 wrt t.\nAnswer: -175848*t**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 42*c**2 - 78*c + 72. What is l(-40)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 214086629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 19.16 and -23?\nAnswer: 42.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-5 + (sqrt(99) - 5*(-2*sqrt(99) - sqrt(99))))*-4)**2.\nAnswer: -69120*sqrt(11) + 3653136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 12*u**2 - 2*u - 10. Let n be h(-12). Calculate the greatest common factor of n and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v + 3*v + 23 = 7. Let h(d) be the second derivative of -d**3\/2 + 3*d**2\/2 + 2*d. Let f(w) = -w - 3896 + 3896. Calculate v*h(y) + f(y).\nAnswer: 2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9146576 to the power of 1\/2, to the nearest integer?\nAnswer: 3024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10516040 and 120.\nAnswer: 31548120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -3187, -36 in ascending order.\nAnswer: -3187, -36, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (39*(-16)\/(-72))\/(403\/186). Let c be (-20)\/(-6) - (-1)\/(-3). Sort c, 5, o, -4 in descending order.\nAnswer: 5, o, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 40*n - 24. Give u(0).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 2*q**2 + q. Let u be k(2). Solve u*d = 3*s - 2*d - 14, -10 = -4*s + d for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 65347, 130634, 195903, 261148, 326363, 391542, 456679?\n\"Answer: -k**3 - 3*k**2 + 65303*k + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-1 - (-7 - 10))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -17 + (1 - -2) + 6 + 397 + -293?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 6*t + 23. Let d be a(7). Let z(q) = d - 24 - 41 + 2*q. Let s(h) = 8*h. What is s(z(i))?\nAnswer: 16*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4, -1\/4, 1\/6, -0.2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 94*b**2*s**2 + 609815*b**2*x + 88714*b*s*x - 104*x with respect to s.\nAnswer: 188*b**2*s + 88714*b*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -7*h**2 - 67*h + 28. Determine t(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 6:44 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 583*(32\/17 + (-6)\/(-51)). Let u = a + -297. Let f = u - 472. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-1))\/(v\/v**2*v))**(1\/58)*(((v\/(v*v*v*v\/((v**(-4\/9)*v)\/v)*v))\/v)\/(v\/((v*v\/v**5*v)\/v)))\/(v**4*v**(5\/4)*v) assuming v is positive.\nAnswer: v**(-16349\/1044)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of 0 + 2*x + 0*x**2 - 3\/50*x**5 + 0*x**3 - 1\/30*x**4 - 2\/75*x**6. Factor k(w).\nAnswer: -2*w**2*(w + 1)*(2*w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8418 - -8474. Solve -122*q + 114*q = s for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**3 - 26*o**2 - 179*o - 154 = 0. Calculate o.\nAnswer: -14, -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.6, -6\/7, 1?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2*sqrt(1053) - sqrt(1053)) + -4.\nAnswer: -27*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 39 = -91. Let m be (-4)\/(2 + h\/(-33)). Let u = -53 - m. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46.8 * 50.697\nAnswer: -2372.6196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -6. Let u be (-210002)\/(-7) - 2\/n. Suppose 0 = -4*w + w - u. Round w to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31*2457173.\nAnswer: 76172363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-352)\/1232)\/(-2*(-5)\/2555).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 9 = -j, 2*k + 6346 = 2*j + 6354 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3121.99179 to one decimal place.\nAnswer: 3122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that x**5\/4 + 35*x**4\/4 - 637*x**3\/4 - 16991*x**2\/4 + 53520*x + 57600 = 0.\nAnswer: -32, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ou when two letters picked without replacement from weuyuyeyyueeyyeyoyeu.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + l + 4 = -0*l, -20 = 4*n + 5*l. Suppose 0 = -n*z - 5*z + 20. Solve j - 5*r - z = 2, r = j + 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*l)*(5 + 12 - 4)*(38 - 13 - 5)*(2*l**3 + 6*l**3 - 4*l**3).\nAnswer: -2080*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*f. Let s be (-45)\/(-5) - (-6)\/(-2). Suppose f = -3*h + s*h. Solve -2 = 2*i - h*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-44)\/66*5\/(10\/(-12))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.06 - -0.06. Let u = -83.8 + 83.4. Let w be 2\/16*(-16)\/(-8). Which is the third smallest value? (a) u (b) w (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -219*b**5 - b**4 - 2*b**2 + 24*b - 10?\nAnswer: -4380*b**3 - 12*b**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + j**3 + 0 + (-j + 2*j - 3*j)*(-j**2 + 0*j**2 + 0*j**2))*(8*j + 6*j - 9*j).\nAnswer: 15*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 85 and 221?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jq when two letters picked without replacement from {j: 5, q: 9, y: 3, n: 1}.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - 3 - (-292 + 1). Let a = -306 - v. List the prime factors of 4\/(-22) + a\/(-11).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c + c - c + (-1 + 1 - 1)*(-c + 0*c + 2*c))*(3*c**2 - 7*c**2 - 3*c**2) as o*c**2 + x + j*c**3 + r*c and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/286 and 476\/8*(-78)\/546.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-4))\/((-5)\/(-170)). Solve -4*s = -20, 3*y - 4*s = 2*y - u for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*l**3*p - 8*l**3 - 56*l**2*p**2 + 35*l**2 + 2*l*p**2 + 2*l*p - 197242*p - 1 wrt l.\nAnswer: 18*l*p - 48*l - 112*p**2 + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -624264509 and 3257?\nAnswer: 624267766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in 4, -3, 2\/5, -4, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 8*f**2 - 22*f + 24. Let t = 1404 + -1394. Give a(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -5*b**2\/2 + 2. Let l(p) = 43*p + 8. Let s(f) = -41*f - 6. Let j(g) = 3*l(g) + 4*s(g). What is m(j(k))?\nAnswer: 175*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 5.4699 (c) -2\/7 (d) -1 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12356294 greater than or equal to 12356300?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 155106*p**3 - 4 - 1 + 6 + 310215*p**3 - 155113*p**3.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10569*v**2 + 1125*v + 11 wrt v.\nAnswer: 21138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-5*((sqrt(132) - (-1*sqrt(132) + sqrt(132)) - sqrt(132)) + sqrt(132)) - sqrt(132) - sqrt(132)))\/(5*-1*sqrt(972))*-4.\nAnswer: 28*sqrt(11)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -8. Let y(h) = 2*h**2 + 12*h + 2. Calculate the least common multiple of u and y(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 4 - 5)*(p - 2 + 2) + 2*p + 0*p + 0*p - 1 + p + 1 - p + 1 - 30*p - 18*p)*((2*p - p + p)*(2*p**3 - 2*p + 2*p) + 4*p**4 + p**4 - 7*p**4).\nAnswer: -88*p**5 + 2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -20 + 26. Suppose 18 + p = 5*u. Suppose -4*s = u*l - 7*l - 205, 2*s + 3*l - 125 = 0. List the prime factors of s.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - d**2 + d. Let g(c) = -c**2. Let r be 8 - 3 - 0\/2. Let i be (3 - r\/2)*-2. Calculate i*k(o) + 2*g(o).\nAnswer: o**3 - o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.52955km in centimeters?\nAnswer: 452955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -418032.6 to the nearest one thousand.\nAnswer: -418000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4046784, -4046803, -4046822, -4046841, -4046860, -4046879?\nAnswer: -4046898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 0)*(-3*q**3 + 5*q**2 - 5*q**2).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h - 39. Let f be s(-22). Suppose f*u = 12*u + 28. Put 3, 2, -1, u in descending order.\nAnswer: 3, 2, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 345*m**4*q + m**3 - 3*q - 110 wrt m?\nAnswer: 1380*m**3*q + 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/3955 and 43\/7119.\nAnswer: 35595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(13) - -3*sqrt(13)*3) + -5)**2 - (4*sqrt(1053) - (sqrt(325) - sqrt(13))*5)) + -4.\nAnswer: -176*sqrt(13) + 1360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4*v - 3. Let t be o(-2). Suppose -3*g + 51 = 3*f, 2*f - 27 = t*g + 7. List the prime factors of f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/14*(-4)\/(-8)*66\/11.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3506, -179, 4, -3, -4 in decreasing order.\nAnswer: 4, 3, -3, -4, -179, -3506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 100 and 14650?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*w - 45 = 83*w + 5*c, -18 = -2*w + 4*c for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*i - 979 = 79*i - 5280 for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 4*b**2 + 2*b. Give t(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 + 159 + 627 + 74)*(-6*j + j + 4*j).\nAnswer: -886*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -341104\nAnswer: -136441.6","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 3. What is the third smallest value in 4, l, 0.5, -13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001846026 rounded to six dps?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5283 + 5 = -377*m for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) - (2 + sqrt(162))) + -5 + -3*1*sqrt(2)*2.\nAnswer: -6*sqrt(2) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1332245 - 1332305.0069. Let y = l - -60. What is y rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 51*d**2 - 1009*d + 323. Calculate b(15).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 104*z**2 + 20. Let q(x) = -35*x**2 - 7. Let s(i) = -14*q(i) - 5*u(i). Let l(b) = -3150*b**2 - 3167*b**2 + 6319*b**2. What is s(l(j))?\nAnswer: -120*j**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -2*p + 166. What are the prime factors of p?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22842, -22843, -22844, -22845, -22846?\nAnswer: -22847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (7\/98)\/((-1)\/118) and (-4)\/1 - 798\/(-96).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 52, -1598, -8\/175 in increasing order.\nAnswer: -1598, -8\/175, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002071323 to 7 decimal places.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l*l*l\/l**(-1\/2))\/l)\/l**(-3))**(-38)\/((l*l*l\/((l*(l\/(l\/(l*l*l*l\/((l*l\/l**(-5\/4))\/l))))\/l*l)\/l))\/l*l*l**(4\/7))**(-43) assuming l is positive.\nAnswer: l**(-4723\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -146 + 147. Let l be 1*(92\/4 - c). Calculate the highest common factor of 33 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (286 + 176 + 70)*(0*f**2 + 2*f**2 + 5*f**2).\nAnswer: 3724*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*h + 21*h + 6116 - 8*h.\nAnswer: -24*h + 6116","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 2, z: 7, c: 6}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 478345 by 6055.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 285 and -2.83824646.\nAnswer: 282.16175354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 + -1 + 18 + (-8 - 6) + 38 + -32?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wu when two letters picked without replacement from ulwmlulml.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*g + 43*g + 27 = 0. Let w(s) = 2*s**2 - 14*s - 26. Let h be w(g). Solve -5*d = -0*d - h for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 4*j - 3*k - 123, j = 4*k + 44. Suppose 4*c + 4*z = 2*c + j, -4*c + 106 = -5*z. Calculate the highest common factor of c and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 321, -4, 23 in descending order.\nAnswer: 321, 23, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 - -21. Let s(q) = q**2 + 12*q + 6. Let p be s(w). Let z = 56 - p. What are the prime factors of z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1836?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 0)*10\/4. Suppose 4 + 6 = 5*w. Suppose w*m = m - c. Which is smaller: m or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (812\/49 + 4)*14\/3. Suppose 4*u = -2*p + c, -3*u - p - 2*p = -72. What is the lowest common multiple of u and 92?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 2:52 AM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 - -0.7416580347.\nAnswer: -11.2583419653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 48, 1, -9, -10, 138, -1 in decreasing order.\nAnswer: 138, 48, 1, 0, -1, -9, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 1111011?\nAnswer: 1111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 31*q**2 - 30*q + 49. What is x(-32)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 210, 363, 516, 669, 822?\nAnswer: 975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -202 + 212. What is the greatest common divisor of z and 95?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) 2\/13 (c) 2\/11 (d) 1\/66\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 - 10 + 0)*(2 - 4 + 1)*(109 + 94 + 342*v - 203) in the form l*v + q and give l.\nAnswer: 7182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -9152 + -2.6?\nAnswer: -9154.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 366*s - 449 = 232*s - 3397 for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*c**6 - 9*c**4 - 7*c**2 - 124?\nAnswer: -600*c**3 - 216*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 590?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79, -155, -231, -307, -383, -459?\nAnswer: -535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -59 - -56.3. What is the nearest to 2\/3 in 2, 0.3, p?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 26*y - 36. What is the units digit of v(29)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (102\/(-4) - 0)*18\/27. Let b be -1 - -1 - (17 + s). Suppose -4*p = -q + 4 - b, 4*q = -5*p + 58. Calculate the remainder when 94 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 7*t + 21. Let l be j(9). Suppose 2*u - 1 = 4*q + l, q + 15 = 4*u. Solve -2*y - 1 = 3*p - 6, -4*y = 3*p - q for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61391340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 12 = r, -4*r + 2*l + 32 = -3*r. Calculate the greatest common factor of r and 600.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -271 (base 15) in base 14?\nAnswer: -2ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6854.647 litres to millilitres.\nAnswer: 6854647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (63 - (2 + 0 + 3)) - (169 - 177)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*p + 300 = 0, 5*p + 105 = 2754*c - 2753*c. Calculate the remainder when c is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23.5*1.88.\nAnswer: -44.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 85.39 and 69.\nAnswer: 5891.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -553724 (base 10) in base 6?\nAnswer: -15511312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -48\/5 and (-2487)\/630 - (-4)\/(-14).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16020 is divided by 3203?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6844.8138 minus 1?\nAnswer: -6845.8138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 157160 and 3.41.\nAnswer: 535915.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1465\/4 - 366. What is m in -1\/4*m**4 + c*m**3 - 1\/2 + 3\/4*m**2 - 1\/4*m = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6\/11 (b) -1 (c) -0.2 (d) 1\/5 (e) 9\/553\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 0*y**2 - y + 4*y**2)*(-2*y**3 + 3*y**2 + 9*y**3 - 6*y**3 + (2 - 3 + 0)*(-5 + 5 + 2*y**3) - 9*y**2 + 12*y**3 + 9*y**2).\nAnswer: 44*y**5 - 21*y**4 - 9*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rroo. Give prob of sequence oror.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -407257, -407236, -407215, -407194, -407173, -407152?\nAnswer: -407131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -176\/19255 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + g + 0)*(5*g + g - 4*g)*(-9*g + 17*g - 12*g) - g**3 + 2*g**3 + 2*g**3 in the form y*g**3 + x + q*g + o*g**2 and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.02 + 0.38. Suppose -11 + 10 = -v. Suppose 3*x + 7 - v = 0. Which is the smallest value? (a) -0.4 (b) h (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7572 and 12.\nAnswer: 7572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1056?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**2 - 11*x + 13. Is a(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -91*k + 11. Is l(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**5 - 2*j**3 + 2*j**3 + (0*j**3 - 2*j**3 + 4*j**3)*(4*j**2 + 0*j**2 - 8*j**2).\nAnswer: -7*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 234589?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 960146067 to the power of 1\/4, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 8 (b) 7 (c) -5 (d) -1 (e) 7\/13 (f) 0.35\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(55)\/(sqrt(30)\/sqrt(54)).\nAnswer: -1 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 927616\/9 - 102766. Let f = d + -302. Factor 2\/9*t + 0 - f*t**2 + 0*t**3 + 4\/9*t**4 - 2\/9*t**5.\nAnswer: -2*t*(t - 1)**3*(t + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -90*t + 1\/9*t**2 + 809\/9.\nAnswer: (t - 809)*(t - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p + 1. Let g = 4 - 3. Determine r(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.035 + 13.535. Let v = j - 13. Sort v, 0, 2\/7, 1 in ascending order.\nAnswer: 0, 2\/7, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -7) + 0 + -49 + 102 + -70.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 211825607?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -73 divided by 3801\nAnswer: -73\/3801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b - 31. Let a be w(-11). Solve -6*j = -a*j - 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8372, -16700, -25004, -33284?\n\"Answer: 12*d**2 - 8364*d - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*u + 4*j = 14*u + 213, -4*u + 2*j + 186 = 0. What is the remainder when 179 is divided by 1 + u + 21 + -22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 759263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 156 and 2262?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4458019?\nAnswer: 37, 71, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -26 + (4 + (0 - 9) + -2 - 1)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, 2162, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -658198 - -1545298. What is p rounded to the nearest 10000?\nAnswer: 890000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 41*v**2 - 19834*v + 19836. Calculate j(1).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -6*n + 5. Let m(h) = h**3 + 3*h**2 - 4*h. Let a be m(-4). Let y be l(a). Solve 0*p + p - y = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.54 - 25.16. Let r = -2.7 - c. Let d = -23.5 + r. What is the biggest value in -2\/3, -2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 315 and 405.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -575 + 90*c - 82*c + 26*c + 2*c**4 wrt c.\nAnswer: 8*c**3 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 75927*b**3*n**2 + 10*b**3*n + 304*n**2 - 2009*n wrt b?\nAnswer: 227781*b**2*n**2 + 30*b**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 8*l**2 + 9*l + 4. Let v be (-3)\/(4\/8 - 0). Calculate the remainder when n(v) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1541?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*v = -12, v + 7 - 21 = 2*x. Let o(m) = 442*m**3 - 13*m**2 + 8*m - 12. Let k be o(x). Round k to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43945306*0.7\nAnswer: -30761714.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 6*h**2 + 6*h - 5. Let a be m(5). Let o(w) = -w - 2. Let l be o(-2). Let g(r) = l*r - 3 - r + 3 - 12. What is g(a)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9902588 days to seconds.\nAnswer: 85558.36032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -4. Suppose 0*i - i - q + 398 = s, -4*i - q + 1586 = 0. Is 44 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 9586?\nAnswer: 38344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-17)\/(-12 - -29))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*d = 2*k - 20*d - 21, k + 5*d = 23 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 1\/53244?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24 or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**2 - 3*s**2 + 6*s**2)*(-2*s - 2*s + 3*s) + s**3 + 0*s**3 - 3*s**3 - 2*s**2 + 12528 + 12521 - s**3 + 67*s - 25051 + s**3 + 0*s**2 + 0*s**2.\nAnswer: -s**3 - 2*s**2 + 67*s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 12. Let d = s - 1. What is the second derivative of 3*b**4 - 5*b + 2*b - d*b**4 wrt b?\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) -1 (b) 17 (c) -3\/179\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 w when four letters picked without replacement from {w: 7, c: 2, m: 2}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 121.\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -327*l**2 - 326*l - 649. Give c(-2).\nAnswer: -1305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5*c = -20, 2*j + 3*c + 7 + 5 = 0. Let t = -12 - -17. Sort 4, t, j.\nAnswer: j, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 29, 52, 83, 128, 193?\n\"Answer: f**3 - 2*f**2 + 22*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000069399 to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 850759211382 and 97.\nAnswer: 850759211479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0, -6\/16171, 4, 3\/4, -4, -3\/41?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14777 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**2 - r + 6. Calculate w(5).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-5)*-1*1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-20)\/50 - 14\/(-10). List the prime factors of 34*v\/(-4)*-10.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 + (-3 - -2)*1. Let p be (-89)\/(-7) - 4\/(-14). Let b = p - o. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.06 - 0.06. Let o = -113.7 - -35.8. Let m = o - -78. Sort m, 0.3, k in descending order.\nAnswer: k, 0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 970 - 970 - 31*z in the form n*z + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 9) to base 7.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15028983, -15028990, -15028997, -15029004?\nAnswer: -15029011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (9 + -6)*223\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/4 + 6\/56*(206 + -106)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -465 + 496 - 9*g - 4*g.\nAnswer: -13*g + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 602.0919cm in nanometers?\nAnswer: 6020919000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 3*k + 0*k)*(-14*k**2 + 43 - 43) + 2*k**3 - 3*k**2 + 3*k**2.\nAnswer: -82*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000152936859 rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28\/3 or 4\/15?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2622*a - 2627*a - 2578*a + 10445*a - 2626*a.\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.16 * -1429055.\nAnswer: -228648.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10968843 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - 10. Suppose -3*d - t*d = -32. Let f be (154\/(-6))\/(-7) + d\/(-6). Solve -2*h - f*h - 45 = -5*s, -3*h = 12 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h**2 - 17. Let b(d) = 14*d**2 - 84. Let x(s) = 2*b(s) - 11*r(s). Let v be 348\/(-406)*84\/(-8). Let w(l) = -l**2 + 5. Give v*w(k) - 2*x(k).\nAnswer: k**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lllk when four letters picked without replacement from lkllk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4875 and 360516.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from {b: 13, m: 5}.\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 670*u - u**2 + 87 + 6*u**2 - 666*u. Let m(x) = 7*x**2 + 3*x + 87. Let c(q) = 3*m(q) - 4*p(q). What is the derivative of c(i) wrt i?\nAnswer: 2*i - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 71*m - 3154. Give j(-31).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92 - 2185.053.\nAnswer: -2277.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/(-30) + (-3)\/2. Which is the nearest to y? (a) 2 (b) -1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven halves of a centimeter?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 46725\/225 + 8\/6. What is the highest common factor of 121 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6868 + 2*p - 6868.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 29129666 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*n - 10 = 0. Let l = -11 - -15. Calculate the remainder when n is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27069 divided by 27069\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 - 15 - 19)*(87 - 52 - 51)*(4 - 2*h - 4 + (-1 - 4 + 3)*(4*h - 3*h - 3*h)) - 3*h + 5*h - 4*h.\nAnswer: 222*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/156871357 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-2))\/(5\/40). Suppose -5*g - 3*t = 30, 4*g - 2*t + 21 = -25. Suppose n + 0 = -2, -2*n = -3*l + 1. Put g, v, l in descending order.\nAnswer: v, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**2 - 1 + 1 - 3*v**2 + v**2 + 4*v**2 + (3*v - 2*v - 2*v)*(0*v - 4*v + 2*v) + 3*v**2 - 2*v**2 + v**2 - 3*v + 2*v**2 + 3*v + 0*v**2 - 2*v**2 + v**2.\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -414 at least -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-5) - -4*1788\/(-80). Let m = t + 91. Let 7*g - 6*g + m*g**2 - 2 - 22 - 9*g = 0. What is g?\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t**3 + 4*t**2 - 4*t - 4 = 0. Calculate t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**3 + 72*y**2 + 367*y + 40. Give g(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4 + 7098*i**3 + 4949550*i**2 - 2509142346*i.\nAnswer: 2*i*(i - 333)*(i + 1941)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20814715?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p**(2\/19)*p*p)))\/p)\/p**(-10)*(p**(-2\/5))**(-45) assuming p is positive.\nAnswer: p**(553\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -507 + 242 + 267 + 7*q**2.\nAnswer: 7*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/77*(-2046)\/868?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f + 5. Let a be y(0). Suppose 0*x = -a*x + 135. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 11, -1, 1, -6.\nAnswer: -6, -1, 1, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -486 + 484 - 9*f**2 + 5*f**3 - 5*f**3 + 3*f**3 to the form b*f**2 + k*f**3 + g + q*f and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50578360?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 788.9257nm?\nAnswer: 0.00007889257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1369589769 a multiple of 769?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3012755 is divided by 59.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - c - 2)*((0 - 3 + 2)*(-5 + 4 + 2) - 2 + 4 - 3).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 88483869 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*6)\/((-14532)\/(-5536)*2\/(-21)).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -31*f - 6. Let x = 7 + -14. Is z(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 - 0. Let v = -211 + 740. Suppose v = 5*r + c. Does 28 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 5. Let c be 675\/20 + 1\/t. Calculate the highest common factor of 17 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m - 2. Let n(o) = 5*o - 5. Suppose 4*t + 5*u = 2*t + 48, -5*u = t - 19. Let j = t - 25. What is j*n(c) - 9*s(c)?\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -4*g - 3. Suppose 1 = -3*z - 20. Do g and z have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8924967.15 less than -2.5?\nAnswer: 8924964.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 9:06 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-30)\/(-8))\/(-5))\/5*4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -9*t + 1. Let c be l(-6). What is the highest common factor of 5 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 219731.5 - 219732. Let y = -0.192 + 0.17. Sort -2, -2\/9, m, y.\nAnswer: -2, m, -2\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a hour in seconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 2:18 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8786779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2821 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 881269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2015\/2206 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0288789 less than 0.5?\nAnswer: 0.5288789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -2617*p**7\/105 - 214*p**4\/3 - 15*p**2 - p - 4. What is the second derivative of k(g) wrt g?\nAnswer: -62808*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 220117*c + 44906?\nAnswer: 220117","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 67200 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -545 * -0.15\nAnswer: 81.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/43 - -47\/172. Which is the smallest value? (a) -1\/2 (b) 3\/2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 587341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3510 and 30810.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 7*m + 8. Let c = -7 + 14. Let k = -2 + c. Sort k, -1, m in increasing order.\nAnswer: m, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - g**2 - g + 2. Let k be a(0). Suppose -5*i = 2*f - i - 16, -i - 2 = 0. Let l = f - 6. Solve -j + y + l = 0, -k*j = -0*j + y for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 12. Suppose 0 = 3*v - 4*a - 10, 3*v - 3*a = -a + x. Let u(y) = 5*y**3 - 6 + y + 4*y + y. Let b(z) = 4*z**3 + 5*z - 5. Give v*b(q) - 5*u(q).\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 28*k - 148*k**2 + 90*k**2 + 56*k**2 = 0.\nAnswer: 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 597498 and 21.\nAnswer: 4182486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1859474.\nAnswer: 2, 929737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.955 smaller than 21935?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 13.91. Which is the closest to -3? (a) s (b) 1 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2 - 252*c + 248.\nAnswer: 4*(c - 62)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0394 - 0.2394. What is the nearest to 1 in q, -1\/2, 4\/13, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 637.8 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 183 + -178 - ((3 - 2) + -20 + 4).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -453*m + 18 = -2*f - 456*m, -7*m = 5*f + 43 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 273575, 272772, 270589, 266336, 259323, 248860?\nAnswer: 234257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -431241?\nAnswer: -431232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1\/(k\/k**(-2\/13))*(k*k*k*k**(-1\/3))**(-4))**(-2\/195) assuming k is positive.\nAnswer: k**(844\/7605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + -2 + 1 - 6. Let g be 2\/y*(-18 - -4). Let q = 10 + g. Is q a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7980474589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 11171, -1\/65, 18?\nAnswer: -1\/65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ya when two letters picked without replacement from kkahyhkyk?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-217)\/(-77))\/(((-8)\/(-66))\/(24\/36))*-2\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 6 = -2*p, 42*p - 5 = 40*p - 5*r for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**2 - 20*n - 28. Let q be v(-8). Calculate the highest common divisor of 194 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.7 + -1.7. Which is the biggest value? (a) 0.1 (b) -0.02 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*g - 0*g - 5128. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t - f + 9, -63 + 51 = -2*t + 2*f for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 11:03 AM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p + 2*p + 0*p + (-62 - 43*p + 42 + 26)*(6 + 0 - 1).\nAnswer: -217*p + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 12:53 AM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(8)\/sqrt(4) - (5 + 1 + sqrt(2) + sqrt(2))**2.\nAnswer: -44 - 23*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = -24*o + 5925. Calculate the lowest common multiple of 3 and o.\nAnswer: 1185","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -45456, -84849, -124242, -163635, -203028, -242421?\n\"Answer: -39393*a - 6063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 33*k - 6. Let j be q(4). What is the greatest common factor of 7 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -2\/5, 27058?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 8?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.7 - -6. Let h(d) = -d**2 - 20*d - 24. Let j be h(-19). Which is the second biggest value? (a) j (b) 2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.09, 45, -84409, 0.5, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2 - 7*s + 2. What is h(7)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 0. Let q(m) = 2 - t + m**2 + 3. Let w(a) = -5*a. What is q(w(g))?\nAnswer: 25*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6488 and 816416?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 105*f + 1361. Is t(0) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -312 - l - 18*l + 159 + 151. Let v(m) = 13*m. Determine v(q(b)).\nAnswer: -247*b - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 5*u + 2*z + 2*z, 5*u + 3*z - 41 = 0. What is the highest common factor of 60 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 16 = -3*h, h + 3*h = 4*o + 24. Solve h*g + 2 - 4 = 2*v, -3*v - 3 = 2*g for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*(a*a**(6\/5)\/a)\/a)\/a*a**(-16))\/(a**(1\/5)*a\/a**(-2\/17)) assuming a is positive.\nAnswer: a**(-274\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2. Let z(d) be the first derivative of 35 + 0*d**2 + 0*d**3 + 3\/2*d**4 + 15*d. Let h(w) be the first derivative of z(w). Determine h(m(b)).\nAnswer: 18*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rk when two letters picked without replacement from {k: 3, r: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 0*o + 1 - 1 - 6 + o. Calculate p(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three eighths of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 81730.751 and -90?\nAnswer: 81820.751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1661.443 to the nearest 10.\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -9, -24, -45?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -582728208 * -4\nAnswer: 2330912832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -7*m**2 + 974*m + 126940. Give j(-82).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -5*d + 3 - 13, 0 = -5*d - 3*s + 6. Let u = -0.2 + 0.4. Let z = -0.1 - -0.1. Which is the closest to z? (a) d (b) -2\/5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2840 - 2809. Solve -4*m = 2*j - 24, j - 5*m = 8 - t for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 10:39 PM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -255, -4, -0.3, -1 in increasing order.\nAnswer: -255, -4, -3, -1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 24742044433 and 0.4.\nAnswer: 24742044433.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 263497 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/(-21))\/(1\/(56\/16)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (584 + 15 - 346 + 604 + 1320)*(6 - 6 - 2)*(-3*t**4 + t**2 - t**2).\nAnswer: 13062*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 7*o + 3. Calculate the remainder when 53 is divided by m(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -13*j + 23*j - 14, -3*j - 3 = 3*m for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of r**3\/6 + 3*r**2 + 4*r. What is the first derivative of k(d) wrt d?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 19828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 246 + 34. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 1:05 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*b + 157*b + 134*b + 57*b.\nAnswer: 305*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express z**4 - 3*z**2 - 283*z**3 + 146*z**3 + 135*z**3 - 104 in the form y*z**4 + c*z**2 + i*z + b + m*z**3 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 118984 and 15429?\nAnswer: 13207224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1104 divided by 84402?\nAnswer: 184\/14067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 2 + (-37 - -60) + -7?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**5 - 4*h**5 + 0*h**5 + (-3*h**3 - 3*h**3 + 4*h**3)*(-h**2 + h**2 + h**2) + 2245*h + 1 - 2245*h - 11*h**5.\nAnswer: -15*h**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(-s**2 + 8*s**2 - 3*s**2) - s + 90 + 114*s**2 - 88 - 53*s**2.\nAnswer: 65*s**2 - s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -26689570 + -1?\nAnswer: -26689571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/6, 8, 2\/93, -1, 36 in increasing order.\nAnswer: -1, -5\/6, 2\/93, 8, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3 = -7, 3*f + 8 = 4*l. Solve -2*t = -f*t + 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 2*l - l)*(-11 + 8 + 12).\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 10*q**4 - 116*q**3 + 168*q**2 - 14*q - 34. Let z(u) = -3*u**2 - u - 3. Let j(c) = 2*k(c) + 4*z(c). Solve j(h) = 0.\nAnswer: -2\/5, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 462*k - 459*k - 11, -k + 5 = -r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 4*l + 20 = 0, 2*l = -m + 8 - 3. Find the third derivative of -a**2 - 47 + 30 - 90*a**m + 3*a**5 wrt a.\nAnswer: -5220*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kgkgnxbxbbgbng. What is prob of sequence kgx?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/20960 and -43\/2379840.\nAnswer: 311759040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 6 in descending order.\nAnswer: 6, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -i**3\/6 - 33*i**2\/2 + 1527*i. Determine j(-10).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34 - 25) + -18 + (-1 - -2 - 5).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/(1404\/48)*(-3)\/(-22)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c - 5. Suppose -3*q + 2*q - 9 = 0. Let p be i(q). Suppose 2*k = p*v - 80, 3*v + 0*v = -5*k + 73. Solve -3*f = -3*a + v, a - 5 = -0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 4*b + 76, 4*j + 4*b = -j - 93. Let o(c) = 11*c**2 + 77*c - 13. Let k be o(-7). Let f = k - j. Solve -f*d - 4 = 8 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h + 1. Let b(v) = -4*v + 2. Let d(r) = -r**2 + 4*r + 7. Let u be d(4). Suppose -2*y - u = 3. Give y*m(t) + b(t).\nAnswer: t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 9*d**2 - 4*d - 136. Let p(a) = -8*a**2 - 1. Let j(q) = c(q) + p(q). Determine j(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2000, 1941, 1882, 1823, 1764?\nAnswer: 1705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -60234 or -60242?\nAnswer: -60234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(125)*1)\/sqrt(5))\/(sqrt(25)\/(sqrt(15)\/sqrt(3))) - (-5*-4*sqrt(20)\/sqrt(4) + 1))*-1*5)**2.\nAnswer: 950*sqrt(5) + 45150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7943650?\nAnswer: 2, 5, 11, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) + 3*(2*sqrt(55) + sqrt(55)) + sqrt(55) + sqrt(495)*1)\/(-1*sqrt(275)*-2).\nAnswer: 7*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 224*c - 11*c - c + 848 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6970954 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 44045642 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - 10) + -30 + 12.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*w + 2*w. Let f = 647 + -652. Sort w, -3, -4, f in decreasing order.\nAnswer: w, -3, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107975 divided by -21595.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 11*w**2 - 22*w - 341. Determine o(-5).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 - (140 + (-29 - 24)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1*-6)\/(3\/(-2)). Suppose -25 = n - 5*g, 2*n - 3*n - l*g - 61 = 0. Let r = n - -63. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (16\/31)\/8 + (-21078)\/(-31) is divided by 177.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -o*q**3 + 208*o*q - 8*q**5 + 7*q**3 - 2*q wrt q?\nAnswer: -6*o*q - 160*q**3 + 42*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 + 0. Let f = -10 + 7. Let m be 3 + 168\/(-91) + -2 + 1. What is the third smallest value in f, m, a?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -5*w**3 - 2*w**2 + 2*w + 6. Let u be 1*(-159)\/(-33) - (-4)\/22. Let q(n) = 4*n**3 + 2*n**2 - n - 5. What is u*v(c) + 6*q(c)?\nAnswer: -c**3 + 2*c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 + 49*o**2 - 333200*o - 79747500.\nAnswer: (o - 651)*(o + 350)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j + 1. Let g(u) = 3*u - 1 + 7 - 1. Suppose -2*a - s - 20 = 0, 2*a + s - 2*s = -16. Let l = a + 8. What is l*g(v) + 5*n(v)?\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 328672, 657381, 986164, 1315057, 1644096, 1973317, 2302756?\n\"Answer: 6*s**3 + s**2 + 328664*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iizz when four letters picked without replacement from iiizzqzz.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = m + 3*g, -4*m - 11*g + 14*g = -25. Solve 0 = -m*h + 5*a - 4, h - 2*a + 1 = -0*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 5*a**2 + 507*a + 1478. What is r(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -80 in -0.036, 1\/4, 2\/21, -16\/3, 2\/13?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 679*r**2 + 715*r**2 - 2687*r**2 + 687*r**2 + 734*r**2.\nAnswer: 128*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -63 + 66. Is ((-6)\/(-30)*15)\/(m\/974) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(((-212)\/636)\/((-22)\/24))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 324 + 8077 = -2*h, 2*h = -4*c + 10342. Is c a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 88 - 4. What is the remainder when (132\/(-209))\/(58\/(-4959)) is divided by n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/25 of a meter?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30617 is divided by 15295.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 99599*s - 28. Is h(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -7*n - 258. Calculate k(-52).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b + 0 + b + b - 1. Let a = 0 - -2. What is the units digit of s(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20457 and 1458?\nAnswer: 3314034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27264685 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06 - 61277151.\nAnswer: -61277151.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -u - 441. Suppose -101 = -2*c - v, u = 3*c - 7*v + 4*v. What is the remainder when c is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a - 3*w + 279, -5*a - 443 = 6*w + 296 - 1297 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mfr. Give prob of sequence mrr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -0.1, 37, 44, 581, -1\/2?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 5*l = 75, l - 188 + 231 = -27*k + 238 + 70 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2053, 8, -4, 0, -6, 5 in decreasing order.\nAnswer: 2053, 8, 5, 0, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 17.\nAnswer: -5, -3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - i. Suppose 2*w + i*w = 24. Let a = w + 4. Calculate the highest common divisor of 8 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/3 - 2\/(-3). Let f be (-12)\/4 + -1 + 2. Let q be (2 - 0) + f - -1. Which is greater: q or w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t**2 + 1. Let v(j) = 120*j**2 + 18. Let k(u) = 36*g(u) - 2*v(u). Let p(x) = -2*x**2. Give p(k(q)).\nAnswer: -34848*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3253*s**4 + 2237*s.\nAnswer: -39036*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4768609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.6366 and -8685673?\nAnswer: 8685675.6366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**2)\/r*r*r\/r**12 assuming r is positive.\nAnswer: r**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -174*g**5 - 3*g**4 + 2*g**2 + 139*g + 1 wrt g.\nAnswer: -3480*g**3 - 36*g**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(1539) + 0 + 0 + sqrt(1539) - sqrt(1539)) + -5 + 1*sqrt(1539)*-2 + sqrt(1539) + 0 + -5))**2.\nAnswer: 2500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -5*s - 78, -3*w - 194 = -2*s + 8*s + 4*s - 5*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41919100?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2421130 (base 8) to base 13.\nAnswer: 1a33b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 111043?\nAnswer: -111052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111111110011111 - -11?\nAnswer: 1111111110100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 5810376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 - 2*b**2 + 4*b**2)*(-b + b**2 + b) + b**4 - 4*b**4 + 2*b**4.\nAnswer: 2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 119273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20\/(-50)*20\/(-2). What is the second derivative of -2454*s**i + 2454*s**4 - 14*s**5 - 10*s wrt s?\nAnswer: -280*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = h - 3*h - j, h + 2146 = 278*j + 6591 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2*o**2 - 3402548*o - 20415216 = 0.\nAnswer: -1701268, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -23*q**8\/168 - 217*q**4\/24 + 128*q**2. What is the second derivative of j(r) wrt r?\nAnswer: -920*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 427988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101 - 111001?\nAnswer: -101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, h: 1, t: 2, e: 3, q: 1}. What is prob of picking 1 e and 1 t?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 183342 - 6?\nAnswer: 183335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*n = -16, 0*w - 3*n = 4*w - 12. Suppose 4*h + w*h = -4. Is h greater than -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + y + 107, -5*w + 9*y + 95 = 4*y. Suppose 7*d = 4*d + 3, -5*d + 105 = 5*i. What is the least common multiple of i and w?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.13093 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 1302*z**3 + 4695*z**2 - 2022*z + 120 = 0.\nAnswer: -4, 1\/14, 10\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + a = 950 + 270, z = 3*a + 390. Suppose -8*l = -3*l - z. Calculate the remainder when l is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 738.549561512 + 9?\nAnswer: 747.549561512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2ab9 + 33da?\nAnswer: 60b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 4*l + 217. Let f be u(-16). Find the third derivative of 2*h - 9*h**2 + 0*h**2 - f*h**3 - 25*h + 7*h**2 + 157*h**3 wrt h.\nAnswer: 792","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/47940 and 17\/978.\nAnswer: 7814220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1)\/(-5) + 438\/160 and -41\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5462187 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -2. Let d be 0\/(-3 + u\/1). Solve d = -g + 6*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -8 - ((-132)\/11 + 26)) + 2 + -12.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s - 2. Calculate the remainder when 29 is divided by l(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-2\/7)*f)\/(f*f*f*f*f*(f\/f**(1\/3))\/f*f*f)*(f**(-1))**(1\/34) assuming f is positive.\nAnswer: f**(-3557\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (60 + 75 + -132) - (-142 + 2 + -2)?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75*1227459.\nAnswer: 92059425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 3, -3 in increasing order.\nAnswer: -3, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -9\/5 (b) 3 (c) -3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008349 to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/686186 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -322 by 322.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29582671 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4*k - 7 = -6, 0 = -k + 1. Sort 3, l, -5, 2 in increasing order.\nAnswer: -5, l, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3540016?\nAnswer: 2, 221251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 2*o - 6, -5*w - 4119911*o + 4119913*o - 26 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-54)\/(-24) - (-6)\/8. Suppose 3*h - 18 = 3*c, 4*h - 5*h = -2. Let a(r) = -2*r - 10. Let t be a(-7). Sort t, 1, c, s.\nAnswer: c, 1, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 5*t**2 - 6*t + 38. Let m be q(4). Let w(v) = 13*v**3 + 10*v**2 + 7*v + 16. Let h(b) = 4*b**3 + 3*b**2 + 2*b + 5. What is m*w(p) + 7*h(p)?\nAnswer: 2*p**3 + p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*a**2 - 43*a**2 + 81*a**2 + 9*a**2.\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/8 and 89\/136.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61582061.\nAnswer: 61582061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - ((2 + 3 - 1) + 51 + -46)) + 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Factor -9\/4*t + 3\/2 + 3\/4*t**2.\nAnswer: 3*(t - 2)*(t - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 86 - 81. Suppose -11*h = -v*h - 90. Solve -3*t = -0*t - h for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3 + (sqrt(1088)*2 + 3 - (-1 + sqrt(1088)*2 + sqrt(1088)))**2*1).\nAnswer: -256*sqrt(17) + 4404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -14, -3\/4, 2, -1\/6, -0.051?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 divided by -10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + 4*h - 3. Let u be d(3). Solve r + v - 3 = -0, u = 2*v - 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4574, -4576, -4580, -4586, -4594, -4604?\nAnswer: -4616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a**3\/13 - 4*a**2\/13 - 56*a\/13 + 16\/13 = 0. What is a?\nAnswer: -2, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 86*c**4 - 277*c**3 - 19525 wrt c?\nAnswer: 344*c**3 - 831*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 21\/2 of a milligram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in -1\/3, -6, -3, 3, -176?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200110 - -2022?\nAnswer: -121011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -19.7952 * 2\nAnswer: -39.5904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52*y + 3 + 2*y**2 + 19*y**3 + 2*y**4 - 58*y - 10*y**3 - 7*y**3 to u + i*y**3 + n*y + f*y**2 + m*y**4 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -17)*-1 - -12 - (-4 + 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 856, 2358, 4488, 7246, 10632, 14646?\n\"Answer: 314*w**2 + 560*w - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1014 + 1696. Is a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z**2 + 2*z - z - 4*z - 6 + 4*z**2. Let i(b) = -3 - 4*b + 8 + 2*b**2 - b**2. Let y be i(4). What is r(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than or equal to 35.24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 3292\nAnswer: 1\/3292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 424\/69, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -128*j**2 + 129*j**2 + 1176 - 1176. Let m(p) = -3780*p. Calculate m(g(b)).\nAnswer: -3780*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 28*f**2 + 29*f - 5. Let b be d(27). Let o = b - -11. Calculate the highest common factor of 36 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 2 - 4. Solve -v - 2*w + 5 = 2*v, 5*w = i*v + 22 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of 8*u + 2 + 0*u**2 - 8\/3*u**3. Let q(i) = -15*i**2 + 15. What is 6*q(f) - 11*s(f)?\nAnswer: -2*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 4392*b**4 + 2*b**3 - b - 4391*b**4 - 6 as s*b + d*b**3 + x + h*b**4 + y*b**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from ppkkkpkkkkk?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.41*-6920458.\nAnswer: 2837387.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 h when two letters picked without replacement from {o: 1, h: 7, e: 5, d: 1, q: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5460.13 times 0.23\nAnswer: -1255.8299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4581286 is divided by 218156?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-1)*i*i)**11\/(i**(-4\/5)*i*i**(-1\/5)) assuming i is positive.\nAnswer: i**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of y**6\/120 + y**5\/30 - y**4\/24 + 2*y**2. Let k be m(-2). Solve -v = -3*d - 0 + k, 4*v - 4*d = 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(-104) + (22\/(-33) - 86\/(-336)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44306109.40000432 + -44306115. Let k = -5.6 - c. What is k rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -45. Let l be (-16)\/(-9) + 2\/9. Does 11 divide l*(-2)\/(12\/s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z = 8*z - 96. Find the common denominator of ((-4)\/6)\/(z\/(-744)) and -91\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280 = 2393*w - 2428*w for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*k - 17*k - 539. Calculate the remainder when k is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2205*u**2 - 25457250*u + 73477503125.\nAnswer: 5*(21*u - 121225)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 388*o**2 - 445*o - 877. Let w(l) = -l**3 - 404*l**2 + 443*l + 876. Let r(i) = 2*f(i) + 3*w(i). What is g in r(g) = 0?\nAnswer: -437, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 15 = -3*l, 3*v + 0 = 3*l + 12. Suppose -v = -2*f + f. Factor 4*q + 0*q**2 + f*q**2 - 2 - 5*q**2.\nAnswer: -2*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56145, 112278, 168411, 224544?\nAnswer: 280677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-34776)\/(-299))\/84*2\/(-3).\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258137690 is divided by 1053.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-157)\/2)\/(-2 + 6\/4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1894347705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 0)*3*-13. Let o = v + -20. Let y = -12 + o. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31950 and 10650.\nAnswer: 31950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -6*r**5\/5 - r**4\/2 - 64*r**2 - 214. What is the second derivative of j(i) wrt i?\nAnswer: -72*i**2 - 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4118 and 11786?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9.200004 + -9.2. Round c to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -186*x**2 - 383*x - 31. What is d(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + f = -1, -2*u - 64 = -5*f - 77 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(125) + -1 + 6*-1*sqrt(125))*-4 + (sqrt(20) - sqrt(240)\/sqrt(192))*3 + 5)**2.\nAnswer: 2601*sqrt(5) + 417929\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2)*c*(c\/c**0)\/c)\/((c*c**9)\/c**8) assuming c is positive.\nAnswer: c**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 6:43 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((s + s - s)*(s - 2 + 2) - 3*s**2 - 2*s - 2 + 2)*(-5*s + 14*s - 11*s - 3 + 3 - s + (4 + 2 - 4)*(1 - 2*s - 1)).\nAnswer: 14*s**3 + 14*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 23 = w + 247, 5*w = 10. What is the remainder when k is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((-2*sqrt(70) + sqrt(70))*-6 + -2*sqrt(70)*3))\/(-5*sqrt(160)*3*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41 or 122?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 22 = -5*m, -7*j + 5*m + 74 = -3*j. Calculate the greatest common divisor of j and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 83569 + -9192503\/110. Find the common denominator of 43\/110 and v.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 16, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4690 and 655.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 297432 and 6642?\nAnswer: 12194712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10653543 is divided by 819503.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -3*d**5\/20 - 9*d**2. Let i(z) = -2*z**2 - 12*z. Let b(c) = -13*c**2 - 68*c. Let q(x) = -6*b(x) + 34*i(x). Determine q(r(j)).\nAnswer: 810*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164995815?\nAnswer: 3, 5, 10999721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3583.598 grams?\nAnswer: 3583598000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3*(-4)\/8)\/((-6)\/16). Let p(i) be the first derivative of 1\/4*i + 1\/5*i**5 + 3 - 3\/8*i**2 + 3\/16*i**a - 5\/12*i**3. Suppose p(u) = 0. Calculate u.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(446 - 446 + 112*v**2)*(0*v**2 - 2*v**2 + 4*v**2).\nAnswer: 224*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*((-52)\/(-4))\/(-1). Let x = -1 + q. Calculate the greatest common divisor of 48 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -13665, -16085, -18505, -20925?\n\"Answer: -2420*n - 11245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -5\/6*a**3 - 7\/24*a**4 + 0*a - 1\/60*a**5 + 0 + a**2. Let x be k(-6). Is 0 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 4)*(0 - 1 - 1)*(133 - 64 - 47)*(-2*p - p + 2*p).\nAnswer: -88*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 10*k - 3. What is the remainder when c(6) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 12510 (b) 0.0196 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z + 7. Let u be a(-5). Suppose -3*b - 34 = -u*j, 2*j = -3*b + 33 + 1. Calculate the remainder when j is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x - 4. Suppose 2*v - 18 = -v. Let j be y(v). Suppose -4*m + 3*m = -j. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, -23, -62?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3002*z = -502*z - 322252 + 94492 for z.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1975646?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 8*w**2 + 5*w + 4. Let k(g) = 9*g**2 + 6*g + 5. Let r = 14462 + -14468. What is r*i(f) + 5*k(f)?\nAnswer: -3*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/10 - (-3423)\/8445. Let h = s - -11227\/6193. Find the common denominator of h and 50\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 741 - 1481\/2. Let o = 5 + 3. What is the nearest to 0 in o, 3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 240 + 2502*d**2 + 130*d - 132*d - 232*d**2 wrt d?\nAnswer: 4540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 15, -55 = -5*u - 2*f + 6*f. Let d be 114\/(3\/(-1)) - -3. Calculate the remainder when u is divided by (-78)\/(-10) + (-7)\/d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000219 to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0616 and 5.\nAnswer: -0.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 14, 38, 72, 122, 194, 294, 428?\n\"Answer: d**3 - d**2 + 20*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 0, -9*a - 20 = -5*v - 5*a. Let t be (-10)\/5 - (-2)\/2. What is the nearest to v in 0.3, -0.4, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 72124 - 51137. What are the prime factors of u?\nAnswer: 31, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 67 + -72. Is 138\/10*15\/(h - -8) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 810 and 810 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -21*o + 16*o + 3, 6 = 3*j. Is 1\/562 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 12*z**2 - 7*z + 3*z + 434*z**4 - 435*z**4 + 71*z**2 - 3 as h*z**3 + i*z**4 + p + c*z + o*z**2 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (0 - (6 + 3 - 8) - 17)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 10, f: 2, w: 5, c: 1, s: 1, z: 1}. What is prob of picking 1 c and 1 f?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, e: 3, f: 4, k: 2, v: 2, l: 2}. Give prob of picking 1 v and 1 f.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 19 = 5*v - 123, 0 = -v + 2*t + 16. What is the highest common divisor of 40 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*f - 127 = 193. Suppose 5*p - 28 = -3. Let v be -3*(-1)\/3*0. Sort v, f, p in decreasing order.\nAnswer: p, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175254.\nAnswer: 2, 3, 29209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.9 + 0.6. Let z = -1 - -1.7. Let c = q - z. Is 2 > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002307153 to 6 dps.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1256 - -1257. Let m(i) = -3*i**2 + 1 - 5*i**2 + 22*i**2 - i. Give m(b).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a + 92c878?\nAnswer: 92c894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1716 and 17316.\nAnswer: 190476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1464554 - -2?\nAnswer: -1464552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -5) + (11 - (-5 + 12))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 w, 1 o, and 1 k when four letters picked without replacement from {w: 3, k: 2, o: 4, p: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -85*s + 183*s - 63*s + 105 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -456 = 5*f + 309. Let d be f\/(-27) - 2\/3. Suppose -5*w + 2*w + 57 = 4*s, 1 = -w. Solve -s = -5*x - d*g, -2*x - 6 = -5*g + 16 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1008))*-1.\nAnswer: -12*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 300 divide 131623500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a decade in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - 4*l + 12. Suppose 3*o + 2*s = -s - 3, -o - 3 = l*s. Let q(d) = -3*d - 3. Let j(h) = -7*h - 7. Let u(v) = -2*j(v) + 5*q(v). Give u(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f - 4. Suppose 4*g - 2*l + 90 = 0, 2*l - 19 = g + 5*l. Let x = -27 - g. Give r(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44.04 + -44. Let m = b + -5.94. Round m to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3735.6752 to the nearest one hundred.\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56420 - 34723. Suppose 2*q - 108509 = -5*o - 0*q, -2*q + s = o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.95 - -1.86. What is g rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*r + 781 = -1883. Suppose -67*s + 2*u - 5115 = -r*s, 4*u - 2030 = -2*s. What is the hundreds digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9 - ((-2)\/(-17) + (-300)\/(-51)). Solve 0 = 51*l + a*l + 270 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.6 - -1.1. Let w = -3 - -2.6. Which is the fourth smallest value? (a) w (b) -4 (c) 1 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3393 + 2162. Let l = p - -2929. List the prime factors of l.\nAnswer: 2, 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**2 - 1 + 1 + 126 - 126 + 15*b**2 + (-3*b + 3*b - b)*(-3*b + 4*b - 2*b) + 1 - 2*b**2 - 1 + (0*b - 3*b + 2*b)*(4 + 2*b - 4) - b**2 - 2*b**2 + b**2.\nAnswer: 14*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 32.7906l?\nAnswer: 32790.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3139804 and 21700.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -7. Let p(d) = -4*d + h*d + d. Let i(m) = -1 - 4 - 2*m + 5. Determine i(p(b)).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16307 + 16311 - 16*a**2 + 375*a + 15*a**2.\nAnswer: -a**2 + 375*a + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/(-4*sqrt(1584)).\nAnswer: -sqrt(19)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -1 (c) 281 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f*f*f**(2\/3)*f*f)*f)**(-25))**(-4\/3) assuming f is positive.\nAnswer: f**(-500\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (4 - -1 - 28).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -805*r - 8051. Determine a(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -10*r - 6. Let j(n) = -11*n - 5. Let h(w) = 5*j(w) - 6*u(w). Let b be h(-1). Solve -3*d = -5*d - b for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**3 + 28*u**2 + 2*u - 25. Determine d(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 468 and 156?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 12*z**2 - 13*z - 1. Let c be m(-13). Let n be c\/5*(-40)\/8. What is the closest to 1 in -1\/2, 0, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 56*h + 0 - 59\/3*h**3 - 166\/3*h**2 + 5\/3*h**4 = 0.\nAnswer: -3, 0, 4\/5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*((w*w**(-2\/9)\/w)\/w)\/w)**(-2\/31)\/(w\/w**(-2\/15)*w\/(w**(-4\/5)\/w)))\/((w**(-3)\/w**(1\/5))\/(w**(-2\/7)\/w)**(-25)) assuming w is positive.\nAnswer: w**(307484\/9765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -405.5 + 405. What is the fourth biggest value in -3, 0.4, o, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -461*n**6\/2 - 2*n**3\/3 + 69*n**2\/2 + 3*n - 437. What is the third derivative of g(f) wrt f?\nAnswer: -82980*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -42646734955 and 0.0664.\nAnswer: -42646734954.9336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3973d (base 14) to base 5\nAnswer: 14010441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49773496.\nAnswer: 2, 67, 92861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*l - 127332 = -82*l. Suppose -46*j + l = -19*j. Round j to the nearest ten.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}