diff --git "a/data/dm_maths/full_data_2/11143_11255.jsonl" "b/data/dm_maths/full_data_2/11143_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/11143_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Solve -291 = -25*a - 391 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*i = -121*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 7*f**2 - 18*f - 7. Let v be c(3). Suppose 35*x - v*x = 660. Calculate the remainder when 58 is divided by x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6423.\nAnswer: 3, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -16\/6799241?\nAnswer: -16\/6799241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -553091534*a**2 - 58*a**3 + 553091532*a**2 + 53*a**3.\nAnswer: -5*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -193*b + 191*b - 170 + 170.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -a - a - 23, 5*d - 3*a - 40 = 0. Is 3 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 33*b - 58. Let k be u(26). Find the common denominator of (-20)\/k*(-212)\/3 and 6\/60*745\/6.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 7\/4 (c) 1\/2 (d) 0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140758 is divided by 211?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 400*v - 429*v + 219298. List the prime factors of v.\nAnswer: 2, 19, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4 - 8*f**3 + 17*f**2 - 10*f.\nAnswer: f*(f - 5)*(f - 2)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3 + 60*k**2 + 132*k.\nAnswer: -3*k*(k - 22)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -10. Let i be (-3 - 537\/l)*4. Suppose -i = -z + 20954. Round z to the nearest one thousand.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 374*r + 316*r + 33920 + 287 + 19613 = 0 for r.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29 and 10817.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -187*f**2 + 2*f. Let j(v) = -15*v. What is j(q(b))?\nAnswer: 2805*b**2 - 30*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 7 = -4. Let o = g - -7. Calculate the highest common divisor of 18 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a day in hours?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 680 + -680. Solve s = 3*d + 657 - 663 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 9:33 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -5.8. Let x(o) = o - 8. Let b be x(7). Which is bigger: b or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -94086*o**3 + 307339 wrt o.\nAnswer: -282258*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59, 223, 583, 1223, 2227, 3679?\nAnswer: 5663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 6 = -2*n - 9, 46418*n + 3*u = 46410*n - 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 10. Let f(w) = w**2 - 7*w - 4. Let i be f(6). Let n = -7 - i. Solve -2*g - 20 = 4*r + 2*g, n*r + 2*g = -x for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202954482 is divided by 92?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 - 13. Suppose 3*y - 7 - 2 = 0. Suppose 0 = y*j - 31 + 1. Calculate the highest common divisor of l and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 330231 (base 4) to base 3\nAnswer: 12022220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of 1\/6*o**3 + 0*o + 1\/120*o**6 - 1\/24*o**4 + 6 - 3*o**2 - 1\/60*o**5. Let s(c) be the second derivative of w(c). Factor s(n).\nAnswer: (n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 6*d - 3*y = 7076, -4*d - 5650 = -3*y. Find the common denominator of 232\/44*(-1)\/2 and ((-3)\/(-4))\/(21\/d).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 18*b = 8*b - 189 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 36 and 26.1?\nAnswer: 9.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 783942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 36*f - 152. What is k(6)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/14 + 93\/(-7). Let d = v - -28. What is the remainder when 43 is divided by 1\/(0 - (-1)\/d)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2618 + -2458. Let a(z) = -3*z**2 + 4*z - 3. Let o be a(2). Is 18*k\/35 + 2\/o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeiq when four letters picked without replacement from {e: 2, k: 2, z: 1, i: 1, q: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -468*f**4 - 6544*f**3 + 191524*f**2 - 356144*f + 6032 = 0. Calculate f.\nAnswer: -29, 2\/117, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36382 - 36382 + 57*f**2)*(1 + 0 + 1).\nAnswer: 114*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**3 - 6*y**3 - 14*y**3 - 4*y**3 - 3*y**3.\nAnswer: -30*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 49 - 37 = t, -4*t = 5*c - 20 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one sixteenth of a meter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 17*k**4 - 3*k**3 + 3*k**2 + 40*k - 3. Let z(n) = -n**4 + n**3 - n**2 + 1. Let j(x) = b(x) + 3*z(x). Find the second derivative of j(q) wrt q.\nAnswer: 168*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 divided by 27?\nAnswer: 152\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 55 - 54.9. Which is the nearest to 3\/2? (a) -1 (b) g (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x - 2. Let h(b) = 12 - 20 + 2*b - b. Let j be h(6). Give i(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.046255551 + -3?\nAnswer: -3.046255551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6 - ((-101 - 38) + 130)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*i + i. Let b be (-14 + 2)\/i*1. Solve -m = r + 1, 5*m + b - 1 = r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 14, -57 in decreasing order.\nAnswer: 14, 1, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 8:08 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 + -39. Suppose 0 = -2*i + 4, v = 5*c + 5*i - 3 - 17. Solve -f - 9 = c*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51 + 118. Suppose -5*a - 36 = -2*u, 0*u + 5*u - a = t. What are the prime factors of u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cxpzcpzxxzppxpx. Give prob of picking 1 x and 2 z.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -16?\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 33?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 652 + -647. Let b = 2 - 6. Let t(g) = 3*g**2 + 7*g + 5. Let u be t(b). Solve -c*q - 5*o = -0*q - u, 5*o = 25 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-106)\/(-3) - 18\/(-27). Let y = 7 - -2. Calculate the greatest common factor of i and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -4*g + 31, v = -3*v + 5*g - 32 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(-2 - -3) + -3. Find the common denominator of -1 - (j - (-274)\/(-12)) and 5\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 351 is divided by 67.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 79, 27, -2 in descending order.\nAnswer: 79, 27, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h + 14. Calculate c(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 5595?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 f when three letters picked without replacement from ttfttftftffttttt?\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 2 + -1 + 3 + (-2451 - -2442)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 6*s**2 + 18*s. List the prime factors of q(-11).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d - 42 = 54352*x - 54357*x + 17, 0 = -2*d - 3*x + 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 300 = 24. Suppose c - 4*q = 2*c - 20, -5*c = -q + 5. Suppose 2*r - 84 = -4*t, 0*t + t + 2 = c. Calculate the greatest common divisor of k and r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1209078 at most 20554306\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7, i: 4}. Give prob of sequence uiu.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7649808 a multiple of 212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 0 - 1*-1. Suppose -5 = -j - 4*j. Let t = f + j. Solve 0 = 3*g - t + 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 1155728?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 101*f**2 + 43*f + 209. What is the units digit of r(-13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*p + 4686 = -19*p. Let n = -551 + p. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -68, -8, 3 in decreasing order.\nAnswer: 3, 0, -8, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -8*f**3 + 25*f**2 - 7*f + 3. Let m(l) = -16*l**3 + 50*l**2 - 13*l + 5. Let b(w) = 2*m(w) - 5*v(w). Is b(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8086 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z - 6*z + 2*z)*(4 + 3 - 4)*(-2*z + 2*z - z) as j*z**2 + c*z + r and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -11*o + 88, 2*o = -235*a + 238*a + 16 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiqq when four letters picked without replacement from miiqiiqqibmbtbmmbiz?\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 537, 5, 11 in decreasing order.\nAnswer: 537, 11, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2 - 5 + 2*v**2 - 3*v + 1 - 2. Determine h(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.06 - -0.06. Let z be 5 + -5 - (-1)\/(-4). What is the third biggest value in 0.3, z, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -739 = 5*k + 741. Is 10 a factor of k\/(-10) - (-4)\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263366639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 29*w**3 + w**2 - 5*w + 2. Calculate f(2).\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 3*p**2 - 6*p - 4. Let w be h(-2). Suppose w + 3 = t. What is the lowest common multiple of 4 and t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f. Let w(d) = -2*d + 1. Let o(b) = -9*t(b) - 4*w(b). Suppose -c - 2*l = 10, 34*c - 39*c - 4*l = 2. Determine o(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -6 + 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57740 is divided by 28860?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -14*t**5 - 6*t**4 + 49*t**3 - 93*t**3 + 52*t**3 = 0.\nAnswer: -1, 0, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 1:54 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, 5, 0.5, 3\/11?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3812 - -0.9812. Which is the second biggest value? (a) -2 (b) 1\/6 (c) -1\/2 (d) u (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 7*r - 447. What is v(65)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4178a3515 + 0?\nAnswer: -4178a3515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -26 + 2\/9*k**2 - 232\/9*k = 0.\nAnswer: -1, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5*z = -16. Suppose -22*x + 396 = -2*x + 24*x. Suppose 0 = -2*s + 4*s - 8. Solve 3*n = 7*n + z, -s*n - x = g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10640 - -10641. Let z be (-1)\/2 + 34\/20. Which is the second biggest value? (a) 3 (b) z (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 h when four letters picked without replacement from {v: 1, h: 4, t: 6}.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**2 + 4*j + 1. Let h be l(2). Let g be (-10)\/(-2) - (-3 + h). Suppose -g*k = -5 - 2. Solve 3*p + k = 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/92225 and -53\/12121.\nAnswer: 2121175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1190 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/2 in -1.1, -5\/4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 74 - 68. Suppose 20 = 3*m - 2*l, -r*m + 4*m - 4 = 3*l. Solve -m*d + 12 = 2*q, 4*d - 12 = q + 2*q for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j + 7. Let x be s(-8). Let w be 0\/(2 - (-1 - x)). What are the prime factors of (0 - (0 + w)) + 6?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 97558367 or 97558366?\nAnswer: 97558366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**2. Let j(g) = 458*g + 348*g - 489*g. What is z(j(u))?\nAnswer: -200978*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -5380000 to the nearest 100000.\nAnswer: -5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + -14283.\nAnswer: -14279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, p: 2, d: 1, l: 4, b: 1}. What is prob of picking 2 l and 1 d?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.126393504607+-133.3\nAnswer: -133.173606495393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 634063 to the power of 1\/2, to the nearest integer?\nAnswer: 796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -37, 2, -3, -1 in ascending order.\nAnswer: -37, -3, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of w**3\/3 + 127*w - 3. Is q(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/(-3)*32\/6. What is the greatest common factor of 4 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) - 2*sqrt(133))\/sqrt(7))**2 + sqrt(19) - sqrt(475)*1.\nAnswer: -4*sqrt(19) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -700480\nAnswer: 700478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s + 4*s - 3*s)*(s**3 - 2*s**3 + 2*s**3) + (-3*s**2 - s**3 + 3*s**2)*(30 - 102 + 4*s - 107) as x*s + l*s**2 + w*s**3 + d*s**4 + g and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16724010 times 0.4?\nAnswer: 6689604","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 91661721 and 522?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/1711154 and 43\/74398?\nAnswer: 1711154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 966252, 966253, 966254?\nAnswer: 966255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r + 25 = -17*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 30372283 to the power of 1\/3, to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*g + 5*g. Find the second derivative of -12*k**g + 9*k**5 - 3*k**5 + 8*k wrt k.\nAnswer: -120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 0 - 5 = -2*y, -5*y + 23 = -2*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 174 - 29*b - 174 as x*b + p and give x.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a micrometer in nanometers?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.939621259 - -163.91?\nAnswer: 167.849621259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2658 + -2346246?\nAnswer: -2346245.7342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.56 take away 7369.02?\nAnswer: -7309.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77042 = 2*i + 3*m, -134*i - 38530 = -135*i + 3*m. List the prime factors of i.\nAnswer: 2, 9631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2411*a**2 - 1196*a**2 - 1213*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 r when two letters picked without replacement from {e: 8, j: 4, w: 1, r: 7}?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3307 - 8147. Which is smaller: -2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 80*((-12)\/(-3) - 3). Let f be 3\/t*(-45)\/(-312). Let n = f + -59207\/24960. Find the common denominator of 61\/6 and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 2. What is the third biggest value in -1\/5, 2, x, 2\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(6\/7)*k)\/(k**(1\/6)\/k*k))**(-47))**(-32) assuming k is positive.\nAnswer: k**(53392\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227323625 is divided by 122217?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjuunojxxjjxjxxnonx. What is prob of picking 1 x and 2 j?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {y: 5, f: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 288*o**2 - 589*o**2 + 287*o**2.\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -79*q + 70*q - 9 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 603385 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -20 (b) 4\/7 (c) -3.43 (d) 0.4 (e) 119 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 99.47 - 99. Let i = 0.14 + -0.17. Let w = n - i. Which is the second smallest value? (a) 2 (b) w (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q**2\/5 - 1086*q\/5 + 538 = 0.\nAnswer: 5\/2, 269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/7794 and 121\/36883806?\nAnswer: 110651418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z - 4340. Let k(c) = 4*c + 4346. What is -2*k(p) - 3*y(p)?\nAnswer: p + 4328","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 70 = 5*z - 0*z, -z = 2*p - 2. Calculate the highest common factor of z and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -163134 times 14.8\nAnswer: -2414383.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5727\/1460 - -69\/146. Let r be 8\/96*13\/(-6). Let z = r - 307\/144. Find the common denominator of z and w.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 3647.\nAnswer: 7294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(0 - -3)*1 - -31059. Suppose 0 = -8*c + 18*c - g. Suppose 309 = 5*q - c. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 25*r - 30. Let t be o(6). Let d be ((30\/(-88))\/(-5))\/(15\/t). Factor -4\/11 - 2\/11*l**2 - d*l.\nAnswer: -2*(l + 1)*(l + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 23751\/(-386100) + 2\/24. Let w(h) = -4*h. Let g be w(0). Which is smaller: g or q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/1)\/((-2)\/(-18)). What are the prime factors of 6\/w - 112\/(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 6 - 4)*(-5 + f**2 + 5 + (f - 2*f + 2*f)*(2 - 7*f - 2) - 3*f**2 - 7*f + 7*f) in the form x*f**2 + v + b*f and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12854 - 12854.12841. What is q rounded to three dps?\nAnswer: -0.128","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175155 is divided by 619.\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 2\/11, 1\/4, -0.09?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 4:42 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2180?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 1850357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 142363310 to the nearest integer?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 1618731\nAnswer: 485619.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 9:37 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 63 - 70. Let t(w) = -w**2 - 8*w - 5. Let d be t(n). Let u(o) = o**2 + 6*o**d - 6*o**2. Let r(a) = 9*a. Determine u(r(q)).\nAnswer: 81*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of 7*y**5\/60 + y**3\/6 - 2*y**2. Suppose 4*p - 4 = -0. Determine r(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2f + 10?\nAnswer: -1f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*sqrt(130)*1 - sqrt(130))*-2)\/(3*sqrt(810)*1 - sqrt(810)))**2.\nAnswer: 325\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 131, 250, 365, 476, 583?\nAnswer: 686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 12*l + 4. Let o be u(13). Let w(r) = r**2 - 9*r + 8. Let d be w(o). Does 10 divide 66\/44 - d\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - t = 5. Let y be 2 + -2 - 1*t. Let j(n) = n + 10. Calculate the smallest common multiple of 10 and j(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - (3 - 4) - 37. Is -3 + 5\/((-10)\/m) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 + 5*i**2 + 3*i**2)*(-4 - 5 - 10)*(-i + 4 - 4).\nAnswer: 133*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 10591750 and 0.5756?\nAnswer: 10591749.4244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jzp when three letters picked without replacement from zdjpjju?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (85\/119)\/((-3525)\/(-210)).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 13*g**2 + 221*g + 3139. Let p(d) = -23*d**2 - 443*d - 6277. Let f(r) = -5*m(r) - 3*p(r). Factor f(s).\nAnswer: 4*(s + 28)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 175, 2\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -239*g - 1663. Let o be r(-7). What is the greatest common divisor of o and 2810?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, i: 4, s: 3, u: 1, q: 2, k: 1}. Give prob of picking 1 g, 2 s, and 1 i.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 13*x**3 + 3577*x**2 + 21*x - 7. Let r(u) = 7*u**3 + 1787*u**2 + 12*u - 4. Determine -7*r(z) + 4*t(z).\nAnswer: 3*z**3 + 1799*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -1.78?\nAnswer: 0.178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l. Let b(h) = 4*h. Let y(g) = 5*g. Let c(s) = 4*b(s) - 3*y(s). Let i(o) = -14*c(o) + 4*q(o). Let z(t) = 3*t**2. Determine i(z(r)).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*k - 4*k + 10, 3*k = 4*x + 17. Solve 0 = -r - 1 + k for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -14\/449 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, 0, 16, 6, 7 in increasing order.\nAnswer: -2\/15, 0, 6, 7, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -708757 (base 16) to base 15\nAnswer: -9aa154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45 + 125. Let v be ((-2)\/8 + (-12)\/n)*-5. Factor 0 - 2\/5*u**3 - 6\/5*u**v - 4\/5*u.\nAnswer: -2*u*(u + 1)*(u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -57 + -584484421.\nAnswer: -584484478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1796 is divided by 232.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -4. What is the lowest common multiple of c and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/208984 and 43\/9688?\nAnswer: 1462888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 29, 36, 43, 50, 57, 64?\n\"Answer: 7*w + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-45)*((-490)\/21)\/(-14). What is the nearest to 16 in -5, -0.3, m, -0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4361\/8 - -547. What is the nearest to -2 in 0.5, 5, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43646850 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (d - d + 2*d)*(0*d + d - 2*d) - 3*d**2 - 6*d + 6*d - 8 + 4 + 5 + 22*d**2 as n*d**2 + w + m*d and give n.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 7:09 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 349.1 - 349. What is the closest to 1 in h, 3, -2\/11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2416 + 16960\/7. Calculate the common denominator of (0 - -6) + -8 + (-15)\/(-2) and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-3)*(-5 - (4 - 2046)). Suppose -s + 3776 = p - b, -5*s + 4*p + 32451 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2866*l + 8596 = 3480*l for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 44*y - 907. Determine o(-15).\nAnswer: -472","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -4*n + 20. Let r be q(5). Suppose 3*o + r*c = 3*c + 27, -c = o - 5. Let k(h) = -h**3 + 11*h**2 - 9*h + 11. List the prime factors of k(o).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of c**3\/3 - 3*c**2 - 3*c + 2. Let d be (-14)\/(-8)*(-1)\/((9 - 11)\/8). Determine u(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*z = -8*z + 140 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 194 + 8\/((-40)\/(-35))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 3705 (b) -3\/7 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 2:19 PM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 35 - 16 - 25*o**2 + 4*o**2 wrt o?\nAnswer: -42*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -282 - -287. Solve 3*g - 31 = -x*q, 3*g + 13 = 7*g + q for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-153)\/(-1071) - (14041\/(-7) - 2) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**3 - o**3 - 4*o**3 + 6*o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/7*13\/(208\/400).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -p + 4. Suppose 5 + 5 = p*r. Solve 4*b = 5*t + 28, 2*b + r*t - 2 = -3*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n**5 + 7266048*n**2 - 37019606*n.\nAnswer: 20*n**3 + 14532096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((57105\/(-188))\/(-45))\/(25\/20).\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3813.643 nanograms in micrograms?\nAnswer: 3.813643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004235068156 rounded to 4 decimal places?\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**2 + 2*g + 7. Let t be f(6). Let d = 22 - t. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*j - 4 = 0. Suppose -5*c = -j*c - 14. Let x be (-18)\/c + 0 + 1. Put x, -5, -0.3 in ascending order.\nAnswer: -5, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 50*t - 161. Let z be c(25). Calculate the highest common factor of z and 121.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 552517379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 477909235?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 741.823 to the nearest ten.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*r - 174 = 106 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-49)\/28)\/(532\/(-3040)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-410 + 3*f**2 - f + 408 - 4*f**2)*(7 + 10*f**3 - 7).\nAnswer: -10*f**5 - 10*f**4 - 20*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 41236 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50176298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-477)\/3180)\/((-6)\/(-45)).\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93, 180, 259, 318, 345?\nAnswer: 328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -24*y - 32. Let f(u) = -47*u - 63. Determine -5*f(v) + 9*q(v).\nAnswer: 19*v + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(17) + -4 + sqrt(102)\/sqrt(6))**2.\nAnswer: -16*sqrt(17) + 86","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(-23)))\/(s\/s**(-2\/25)) assuming s is positive.\nAnswer: s**(-602\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -356282.8 to the nearest one hundred.\nAnswer: -356300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence neis when four letters picked without replacement from gnsegiignin.\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -2\/517, 8?\nAnswer: -2\/517","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 31454 and 3297136?\nAnswer: 3265682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 0 = 3*y. Let j(c) = y - 2 + 5*c**2 + c**3 - 2 - 6*c. Let w be j(-6). Which is smaller: w or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73152 divided by 508.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*p - 207*p + 59*p + 42*p + 49*p.\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*j**2 + 14*j**2 + 16*j**2 - 38*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-5)*(-4995)\/1998?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5051222*w**5 + 5051221*w**5 - 2*w - 39*w**2 + 3*w + 2*w**4 - 690*w**3 wrt w.\nAnswer: -60*w**2 + 48*w - 4140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1700420 - 1.\nAnswer: -1700421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2. Suppose b + 16 = 5*b. Let h(q) = 272*q. Let f(r) = -13*r. Let v(l) = b*h(l) + 85*f(l). Give v(g(m)).\nAnswer: 17*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(22)\/(sqrt(11) + sqrt(77)\/(sqrt(28)\/sqrt(4))))**2 + -5).\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10022221111 (base 3) in base 14?\nAnswer: -19c77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-20 - -44) - -10 - -23.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.554509 months to centuries.\nAnswer: 0.0246287575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 6*g**2 + 12*g - 28. Give s(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/2)\/(3\/6). Let r be i\/(10\/4 - 1). Let m(g) = 2*g**3 - 3*g**2 + 1. What is the units digit of m(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 6 + (6 - 6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(2)*-2*5 + 0 - (1 + (sqrt(20)\/sqrt(2))\/sqrt(5))) + 4)**2.\nAnswer: -1255 + 330*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two ninths of a week in minutes?\nAnswer: 35840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**5 - 856*g**4\/3 + 3820*g**3\/3 - 320*g**2\/3 - 3814*g\/3 + 392 = 0. What is g?\nAnswer: -147, -1, 1\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 33928373 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2621*z**4 + 1201*z**2 + 6754843.\nAnswer: -10484*z**3 + 2402*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5465038361?\nAnswer: 5465038361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 31*a**2 - 318*a - 7636. Does 84 divide j(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48 - -47. Let t = 2.3 + -2. What is the closest to -1\/3 in t, w, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 985712.2 times -0.4\nAnswer: -394284.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2922 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -82106, -164211, -246316?\n\"Answer: -82105*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 699?\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 80\/6 + (16\/(-3) - -4). What is the remainder when (r\/(-8))\/((-6)\/156) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 1.327\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 4:01 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 271 or 30?\nAnswer: 271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 70, 3, 1, 7 in decreasing order.\nAnswer: 70, 7, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290622 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1519 equal to -1432?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 7:28 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6964552799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21100122 + -12?\nAnswer: 21100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -817 and 5.\nAnswer: -4085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 74\/24)*-4. Is -0.2 != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-4)*w**(-2\/7)*w)\/(w*w**(-1\/7)*((w*w**9*w)\/w)\/w))**(-4) assuming w is positive.\nAnswer: w**(116\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 14*z + 4. Is 11 a factor of g(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.072558 plus 991241217?\nAnswer: 991241217.072558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -7913870203 and -0.042.\nAnswer: -7913870203.042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 703384596 to the power of 1\/3, to the nearest integer?\nAnswer: 889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110101001110101111 + -1110100111?\nAnswer: -1110101011101010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 67914 and 5.\nAnswer: 339570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-88)\/(-42) + 10 + 511\/(-49)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -147 by -11.\nAnswer: 147\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3068, -3059, -3050, -3041?\nAnswer: -3032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 2\/3, 0.27, 2\/7 in increasing order.\nAnswer: -1\/3, 0.27, 2\/7, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -49, -61, -73, -85, -97?\n\"Answer: -12*g - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or 123\/2?\nAnswer: 123\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21012 (base 3) to base 9.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 + 12 = z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68, 6, 4, -75 in decreasing order.\nAnswer: 6, 4, -68, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -485b (base 16) to base 11.\nAnswer: -12a0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 244 - 174. Let v = -70 + q. Let d = 122\/5 + -25. What is the nearest to v in 4, d, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 12) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27862 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 291829499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5867 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1159520642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by -5 + 6 - 8 - -27.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a. Let m(v) = 3*v. Let n(g) = -5*m(g) + 3*u(g). Let h(j) = -3*j**2. What is h(n(q))?\nAnswer: -27*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25421 + -2?\nAnswer: 25416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -268\/3897?\nAnswer: -268\/3897","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 5*b**3 - b**2 - 9*b + 14. Give s(3).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 881014149 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 9.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from daaaadvdydddda.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**3 - 3*q**3 + 6*q**3)*(-2*q**2 + 3*q**2 + 0*q**2) + (-6*q**5 + 3*q**5 + q**5)*(12 + 79 + 35) + q**5 + 39*q**2 + 20*q**4 - 39*q**2.\nAnswer: -249*q**5 + 20*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 549 + -343. Let t be 0 + (w - 1)*(-13 + 21). Let d = t - 3520. Round d to the nearest 100.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 6*s + s)*(-10793 + 10793 - 5*s**2 - 8*s**3).\nAnswer: 24*s**4 + 15*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1943996, 1944046, 1944096?\nAnswer: 1944146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -369 = 835*g - 844*g. Solve -37*o + g*o = -12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 165367641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -1. Let y(k) = -4*k + 24. Determine -24*u(l) - y(l).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -357 divided by 357\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 62 = -0*k - 4*k, -5*w = -4*k - 50. Let v(m) be the third derivative of m**4\/24 - 11*m**3\/6 - 8*m**2. Let r be v(w). Which is smaller: r or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 346 = 4*z + 4*s + 321, 4*z = -5*s + 23 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -172, -158, -142, -124, -104, -82, -58?\n\"Answer: b**2 + 11*b - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 7366*s**2 - 2. Let t(i) = -2*i. Determine a(t(n)).\nAnswer: 29464*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.048 rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/(-352) - (-81)\/5904?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16942107 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 297233736 to the power of 1\/2, to the nearest integer?\nAnswer: 17240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s = 8*s - 14180. What is the hundreds digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02318787 to four decimal places.\nAnswer: 0.0232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 92653.01 nanograms in tonnes?\nAnswer: 0.00000000009265301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8563363?\nAnswer: 61, 79, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102702038?\nAnswer: 2, 23, 2232653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -68753*r**4 + 9*r**3 - 2*r**2 + 22*r + 256.\nAnswer: -825036*r**2 + 54*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1677068 is divided by 90.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1483, 1497, 1511, 1519, 1515?\nAnswer: 1493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9405 + -6861. What is the remainder when p is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 f when three letters picked without replacement from {i: 1, f: 1, n: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - -14 - (14 + -29)) + 26.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -262 or -255?\nAnswer: -255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/4 or -0.0243768?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 5*z + 33, -3*z = -109*f + 105*f + 23 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 10 = -2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 5*g + 41. Let a be z(-4). Put a, -5, -1 in descending order.\nAnswer: a, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0.2 (b) 906 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -4.03. Let n = j + -0.03. Which is the third smallest value? (a) n (b) -0.5 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -2 + 5 + (-6 - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -35320 times -0.0541\nAnswer: 1910.812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -216 and 1?\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 54715? (a) 1\/6 (b) -5 (c) 1\/24 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 17*u**2 - 137*u - 6589. What is d(24)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ge when two letters picked without replacement from giguggugeuuienugwni?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/3384 and -119\/288.\nAnswer: 13536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 20350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -424 + 683. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*n - 0*n. Let h be (-20)\/(-3) - 1 - 8\/n. Solve 0 = -0*k + 2*k - 3*r - 2, k - h*r = 15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 825*y - 71422. What is k(-79)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 5*z = 50. What is the smallest common multiple of 18 and z?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2419434354 to the power of 1\/6, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50343.\nAnswer: 3, 97, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.2, -1\/6, -1.2, -0.276, -0.122?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 4095.\nAnswer: 4095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 82\/13, -102.4, -3, -0.25 in increasing order.\nAnswer: -102.4, -3, -0.25, 82\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 18 + 36. Suppose 6 = 50*b - 49*b. Let y(r) = -r**3 + 7*r**2 - 4*r - 6. Let f be y(b). What is the greatest common factor of u and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1980877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14.95703 + -14.897. Let z = l - 0.0596413. Round z to 5 dps.\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 11*z**2 + 23*z - 19. Let w be i(-14). Differentiate 279 + w + 50*g**4 - 442 with respect to g.\nAnswer: 200*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -803.3 - -846. Let t = q + -43. Let c = 6.2 - 6. What is the biggest value in t, c, -18?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + g. Let m(c) = -118*c**3 + 177*c. Determine -177*l(p) + m(p).\nAnswer: 59*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + -3)*(-28)\/7. Let n be 2\/(-4)*f + 4. What is the units digit of (n - (-70)\/(-3))*-3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46037 by -24.\nAnswer: 46037\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/2*4\/18. Solve m*v + 3*v = -15 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2810923925?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-44)\/(-20) + 1)*72325\/22. What is the highest common factor of t and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ahgi when four letters picked without replacement from {t: 2, g: 1, j: 1, h: 1, i: 2, a: 2}.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/12 and -13\/34062?\nAnswer: 68124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 10, 81228 in decreasing order.\nAnswer: 81228, 10, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18\/2 + 3 - 4. Suppose -2316 = -d*a + 532. Let k = a - -231. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/((c*(((c\/(c**8*c)*c)\/c)\/c)\/c)\/c)*c**15*(c*(c\/(c*c**(-3\/2)\/c))\/c)**38 assuming c is positive.\nAnswer: c**121","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4 = -2*b, -2*a = -4*b + 2*a + 8. Suppose -b*t + 0*t = -t. Solve u = -t*u - 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 316*w**3 - 3*w**2 + 2*w. Let k be y(1). Calculate the greatest common factor of k and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 9 = z - v, 5*z - 2*v - 9 = 0. Suppose 0 = g + i - 332, 0 = -z*g + 4*i + 998 - 9. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3\/5*d**4 + 21\/5*d**2 - 6\/5*d**5 + 6\/5*d + 18\/5*d**3 + 0 = 0. Calculate d.\nAnswer: -1, -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3, 28\/13, -3, -9, 4, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -6296.2?\nAnswer: -6296.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2652 = 4*c - 13*y + 10*y, 2*c + 5*y - 1300 = 0. What is the remainder when c is divided by 95?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22237 is divided by 1383?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 6905528.\nAnswer: 1\/1726382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(243) + -3)*3)**2 + -4 - (((sqrt(3) + 0)**2*-4 - sqrt(3)) + -1 - (3*2*sqrt(300) - sqrt(300))**2).\nAnswer: -485*sqrt(3) + 9777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-40)\/(-48) + (-1778)\/(-12). Is k smaller than 445\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.08 - 0.08. Let o = i - -1.8. Let b = o + -2. What is the nearest to b in 2\/15, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1 + sqrt(3) + 2)**2 - sqrt(33)\/sqrt(704).\nAnswer: 15*sqrt(3)\/8 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.15*95.\nAnswer: 14.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.6, -0.08, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-6)*-200*-225. What is r rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2926*l + 544299. Give o(186).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*s = 0, h - 2*s - 5 = 3*s. Let i = -3 - h. Suppose y = 4*z - 0*z - 9, -i*z + y + 5 = 0. What is the smallest common multiple of z and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tbbt when four letters picked without replacement from {t: 4, u: 5, b: 8}.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -414, -0.195, -1\/8, 1\/6, 0.02?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 21208 = -18*f - 20394 for f.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 149 = 4*h - 1145, 2*h - 652 = 4*n. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 90*m - 3784. Let a be s(41). Put 7, a, 2\/7, 0.3 in increasing order.\nAnswer: a, 2\/7, 0.3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2388.000006125 + -2388. Round r to seven dps.\nAnswer: 0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260*z + 116*z + 10 = 2*x - 146*z, -3*x = -z - 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 21*-9*(-2)\/(-54)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 13*y + 35. Let c = 3406 + -3397. What is z(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 4*l = 5*l + 15, -b = 2*l + 8. Suppose 0 = -3*w + 10 + b. Calculate the common denominator of -119\/20 and 31\/4*(-2)\/w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 668, 659, 636, 593, 524, 423, 284, 101?\n\"Answer: -i**3 - i**2 + i + 669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 u when three letters picked without replacement from luwvlalulaawlvuaal?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6272 divided by 25.\nAnswer: 6272\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -t**3\/4 + 9*t**2\/8 - 3*t\/2 - 8. Find k such that w(k) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.43 from -43.\nAnswer: -42.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -124 less than -124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11853796 and 17689.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 8:58 PM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -2, 4, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 91 and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-28853)\/(-77) + (-4)\/(-14). Suppose 6*f - g = f. Does 15 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1719.03500938 and -2?\nAnswer: 1721.03500938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 2:30 AM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(11)*2 - (sqrt(176) - -3*sqrt(176)))**2.\nAnswer: 2156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*o + 102 = 67*o. Does 23 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + (-8 - (3 + -9)) - 4) + 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 150 and 954?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 8*w**2 + w - 10. Let h(a) = a**2 + 4*a + 2. Let x be h(-4). Suppose 10 = -x*l + 26. Give y(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 4144242?\nAnswer: 4144244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 62 + -49. Let k = 85 - s. Is k a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1564 divided by 4?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 29 = -4*g, 5*g = -2*r + 66 - 5. Let t(s) = 0*s + s + 3 + 0. What is the tens digit of t(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-55 + (1 - -35)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 1654 = 5*k - 2*x, -5 = 5*x. Find the common denominator of k\/72 - 3\/18 and 87\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, 1, -0.5, -10, 119.74 in increasing order.\nAnswer: -10, -0.5, -0.06, 1, 119.74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 3*h - 1. Let k be r(5). Let i = -36 + k. Suppose 4*g + 19 + 10 = -i*q, 0 = -3*q + 3*g + 6. Put 3, 12, q in ascending order.\nAnswer: q, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -88, -212, -426, -736, -1148, -1668, -2302?\n\"Answer: -s**3 - 39*s**2 - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhlnlllhhlnlhhlhll. What is prob of picking 3 h and 1 l?\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 7 = -3. Let s = -15 - -11. Which is the biggest value? (a) -2\/11 (b) g (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -14 (b) -10 (c) 156 (d) -0.3 (e) 0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 368280.\nAnswer: 2, 3, 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(4 + (sqrt(304) - -2*sqrt(304))))**2.\nAnswer: 96*sqrt(19) + 2752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 11:38 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 10:10 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/3)*q)**(-5)*q*q**25\/q*q*q*q**(2\/39))**(-7) assuming q is positive.\nAnswer: q**(-1855\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -101680.944 rounded to the nearest one hundred?\nAnswer: -101700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 1678226.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46642880 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h + 4. Give q(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**3 - 3*k**3 + 4*k**3)*(-51 - 62 + 189).\nAnswer: -76*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (57393\/(-6 - 1))\/((-9)\/6)?\nAnswer: 2, 3, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b - 576 = -64*b. Calculate the highest common divisor of b and 183.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1386\/16439 - -1487881223\/345219. Let f = a - 4309. Which is smaller: f or 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4*i + 3152. Determine r(75).\nAnswer: 2852","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-156)\/15)\/((-6)\/15). Suppose -v = -4*m - 2. Let t be (2\/m)\/(3\/(-9)). Sort t, -2, 4 in descending order.\nAnswer: 4, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 58.641 - 59.4. Let g = -0.259 - v. Which is the third smallest value? (a) 0.02 (b) 2\/65 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -2*t**5 + 14*t**4 - 26*t**3 + 2*t**2 + 28*t - 16 = 0?\nAnswer: -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-34)\/48 - (-159)\/3816\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, -2\/11, -2, -0.0305, -1\/2 in ascending order.\nAnswer: -2, -3\/2, -1\/2, -2\/11, -0.0305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + (-8)\/(-6) - -1. Which is the third smallest value? (a) 1 (b) -0.6 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44608290 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*y + 3*y. Let a(q) be the third derivative of q**5\/60 + q**4\/4 + 11*q**3\/3 - 3*q**2 + 2. Let o be a(-4). Solve -4 = y*z - o for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of j**7\/70 - j**6\/50 - 3*j**5\/50 + j**4\/10 + j**3\/10 - 3*j**2\/10 + 39*j. Factor r(b).\nAnswer: 3*(b - 1)**3*(b + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/5)\/2)\/((-39)\/195).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + 10 = -u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 130731 by 5.\nAnswer: 130731\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*v + 9768 = 46*v. Suppose -p + 1603 = -v. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*-5*(sqrt(132) - 4*(2*sqrt(132) + sqrt(132)) - sqrt(132)))\/((sqrt(2904)*-2)\/(sqrt(12)\/sqrt(96))))**2.\nAnswer: 2025\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-351)\/45 - (-2)\/(-10). Let t be 20\/z*2 + 1. Let w(r) = -r**2 - 4*r - 2. Give w(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 195, 665, 1449, 2547, 3959, 5685, 7725?\nAnswer: 10079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 + -866771009.\nAnswer: -866771008.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4 + 234*z**3 - 18252*z**2 + 474552*z.\nAnswer: -z*(z - 78)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/65 and -59\/225.\nAnswer: 2925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 3. Suppose -4*g + 1 = -v + 3, -2*v = -j*g - 4. Sort g, -2, 1.\nAnswer: -2, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 242, 0.4, -2, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 436 + 36. Is i a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rl when two letters picked without replacement from {l: 1, p: 4, r: 1, o: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/((-29935)\/14969 + 17 + -15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 6:38 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 59 - 57 = 4*p, 32 = z - 2*p. Let k = -108 + 238. Calculate the highest common factor of k and z.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -403 (base 5) in base 8?\nAnswer: -147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from geetgttggte?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0181 + -213.9819. Let w = z + 213.9998548. Round w to five decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(98))**2*4 - sqrt(2)).\nAnswer: -sqrt(2) + 389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.72596 rounded to 1 decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b**2 - 12*b - 6. Let o(q) = -q**3 + 4*q**2 - 13*q - 6. Let h(k) = -3*o(k) + 4*x(k). Factor h(j).\nAnswer: 3*(j - 2)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 11*h - 23. Let t be n(-3). What is the closest to 1\/4 in 0.01, 40, t?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 12:58 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + x - 6 = 5*c, -2*x + 2 = -3*c. Solve -c*k - 6*k = -40 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -168180, -335955, -503714, -671451, -839160, -1006835?\nAnswer: -1174470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 5:56 AM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 9*k - 16. What is the tens digit of t(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 1:13 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -162, -632, -1102?\n\"Answer: -470*x + 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -19*q - 179. Let v(m) = 4*m - 7. Calculate v(b(p)).\nAnswer: -76*p - 723","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c**2 + 8*c - 5. Let r be f(-7). Suppose -2*v - 26 = -r. What is the highest common factor of 20 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (-41 + 2 + 2). Suppose 3*g - 52 = -5*m, -2*g + 5*m + d = -7. Let u = 30 - g. Does 9 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60 - 59.9. Which is the nearest to t? (a) -1\/10 (b) -2 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -v**3 + 10*v**2 + 0*v**4 - 1\/10*v**5 + 0*v + 0. Differentiate d(i) with respect to i.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 688, 2733, 6142, 10915, 17052, 24553?\n\"Answer: 682*w**2 - w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1359 + -1356. Solve 0 = -5*a - o + 28 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + y = -3*y + 270, -g = -4*y - 159. What is the greatest common divisor of g and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 10*h - 1015. Let r be s(101). Put -8, -3, r, -4 in decreasing order.\nAnswer: -3, -4, r, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1799524 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 6. Let s(l) = -4*l + 4. Let r(u) = 3*u - 3. Let d(t) = -5*r(t) - 4*s(t). Let b be d(q). Solve 0 - 8 = -b*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7472\/11208*1\/((-22)\/(-18))\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - (-20 + 10 + 0 - -23) - 20?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + (-2)\/((-756)\/374). Let f be 1\/63*3868\/132. Let c = f + i. Calculate the common denominator of 21\/8 and c.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzaacgzvzozogagooa. What is prob of sequence aavz?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 8\/5. Suppose -22*n + 34 = 12. Is t at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u - 29. Let x be w(-5). What is the tens digit of ((-63)\/x*36)\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -98 (base 12) to base 7.\nAnswer: -224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 19*f**3 + 3*f**2 + 19*f - 46. Give y(4).\nAnswer: 1294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a kilometer in meters?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 2) + (31 - 17) + -6 - 31\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -107 - -128. Let b be 0 - -14 - (-1 - -1). What is the greatest common factor of y and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 5*f - 322. List the prime factors of f.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1995 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/42, 5, -0.1, -4, 1\/2, -13, -0.04692?\nAnswer: -0.04692","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(16\/20)*3\/(-10)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23371 + -2174?\nAnswer: 21175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qoo when three letters picked without replacement from sqoosrhh.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -33, -70, -107, -144, -181, -218?\n\"Answer: -37*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 29 = 5*l. What is the least common multiple of 6 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 32*x + 1814. Calculate the least common multiple of v(-52) and 1075.\nAnswer: 6450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 64*v + 18. Let o be t(-4). Let i = -238 - o. Find y such that -4\/5*y + i - 2\/5*y**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2 - 4*w + 4. Let j be a(0). Solve 17 = -5*h - j*y, -h - 3 + 14 = -4*y for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*u - 4. Let f be u\/(-6) - 508\/(-12). Let y = -8 + f. Calculate the greatest common factor of y and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 561?\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 6*l - 3*l + 109, -5*u = 4*l + 142. Let k = l + 64. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/9, 0.3, -1, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 240435890, 480871780, 721307668, 961743554?\nAnswer: 1202179438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*h**3 - 24*h**3 + 16*h**3.\nAnswer: 9*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cm when two letters picked without replacement from asmmcto?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by 21998768.\nAnswer: -1\/1999888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319 is divided by 29?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 2 + 9 + 5 + -9 + 8 + -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 32*c**2 - 182*c - 89. Let g be i(16). Calculate the highest common divisor of g and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v + 5. Let q be m(-3). Solve 5*z - p = 8, 2*z + 5*p + q = z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 l, and 1 a when three letters picked without replacement from lgguagi?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.744526 * -51.\nAnswer: 37.970826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 565225 to the nearest integer?\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 88\/(-6) + 2240\/140. Which is the nearest to 0.1? (a) g (b) -1 (c) -2\/5 (d) 751\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 2:57 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 457358 and 88?\nAnswer: 1829432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 341 and 31?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -87 + 27 + 26 + 348*n + 141*n + 32 in the form w*n + x and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g**3 + g**2. Let f(p) = p**3 - p. Give -3*f(c) + h(c).\nAnswer: -6*c**3 + c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 13\/4 of a meter?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/106423 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence egge when four letters picked without replacement from egeg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -11920, 3 in descending order.\nAnswer: 9, 3, -11920","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**2 + 3*i - 1. Let h be w(-4). Solve 21 = 3*j - 3*x, x + h = -3*j - 4*x for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -165*c + 161*c - 644. Which is greater: c or -158?\nAnswer: -158","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 115521 = -5*m, -11*m - 3*a = -9*m - 46198. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45.66785 millilitres to litres.\nAnswer: 0.04566785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1193.881 weeks?\nAnswer: 8357.167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of 12*o**3 - 19*o - 104. Find the first derivative of g(n) wrt n.\nAnswer: 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*n + 117*n + 29610 = -425*n for n.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2430) - (sqrt(2430) + (sqrt(2430)*4 - sqrt(2430))))\/sqrt(6).\nAnswer: -27*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of d**3\/3 + d**2\/2 + d - 3. Let b be c(0). What is the highest common divisor of b and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a - 2*a + 112*a**4 - 2 - 127*a**4 + 2*a**2 + 3*a as o*a**4 + y*a**2 + l*a + s + b*a**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62090912 divided by 16.\nAnswer: -3880682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 53724 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eq when two letters picked without replacement from {e: 1, i: 2, s: 5, q: 11}?\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15 and -4.29?\nAnswer: -64.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3158 + 89?\nAnswer: 3247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g - 23*g - 33*g + 17*g.\nAnswer: -42*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 570390.11 to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5719320092 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1736 and 221123?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -725*x**3 - 825*x**2 + 4 + 825*x**2 + 4 - 13.\nAnswer: -725*x**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 8*u - 11. Let c be v(4). Suppose a - 4*f - 12 = 0, 2*a - 1 = 2*f + 5. Put c, -4, a in decreasing order.\nAnswer: c, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m - 2*m + 4152 = 9*m. Is 174 != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 19218 = -2*s, 5*s - 48051 = -72*v + 69*v. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 82780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4345\/2 + 2007. Let w = p - -445\/3. What is the common denominator of w and (-2)\/18*91\/(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -49 and -64.3.\nAnswer: -113.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28476708.\nAnswer: 2, 3, 13, 277, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000053981034 rounded to 7 dps?\nAnswer: 0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.7 - -0.019?\nAnswer: -14.681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (2\/1)\/(80\/(-48)*3)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -761*c + 97. Is r(-3) a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v + 139 = 524 + 375. What is the remainder when 192 is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 1218*o - 2444*o + 1220*o. Let v(c) = 13*c. Give v(q(g)).\nAnswer: -78*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a - v + 34, 0 = -107*a + 117*a + v + 92 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -1.1625?\nAnswer: -0.2325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -0.2 (c) -1000625\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 78\/(-104) + (-2)\/8\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(-1 + sqrt(320))*-1)**2 - sqrt(320)*4*6*6)*1.\nAnswer: -1216*sqrt(5) + 1284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -10*(125\/10 - 1). Let o = 199 + s. List the prime factors of o.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnncccncnnnncnn. Give prob of sequence nncn.\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.059 and 0.46.\nAnswer: -0.02714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3816.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -5\/2, -0.5 in descending order.\nAnswer: -0.5, -5\/2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 99267 a multiple of 489?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 230153937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 828\nAnswer: 82.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2160, 2173, 2026, 1719, 1252, 625?\nAnswer: -162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-78)\/(-24) + 8*1\/(-2).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 + 1)*(-21*w - 16*w - w) in the form g + v*w and give v.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.9 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -7*b**5\/20 - 3*b**3 + 7*b. What is the second derivative of k(n) wrt n?\nAnswer: -42*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -52521 less than -52354?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -330*a = -316*a + 28 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 161094*n**2 + 319*n - 139319013.\nAnswer: 322188*n + 319","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 + 20770.\nAnswer: 20770.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 3*y + 16, -4*y - 16*f = -20*f + 48 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 805, 806, 807, 808?\nAnswer: 809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1859098511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22.2 + 3.8. Let n = -25.9999951 + b. What is n rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5292 and 53095.\nAnswer: 40139820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 241 - 202. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 3 + -3 + -2 + 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.205 * -531\nAnswer: 108.855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 2*g + 272, 3*g + g - 366 = -5*v. Suppose 0 = 2*q + 4*n - v, 4*q = -2*n + 6*n + 140. Is 10 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 2*v - 56, -4*f + 176 = -118*v + 122*v. What is the least common multiple of 1659 and f?\nAnswer: 19908","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1393, 2676, 3831, 4792, 5493, 5868, 5851, 5376?\nAnswer: 4377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3518.\nAnswer: 2, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 2:15 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.423 + -0.2686. Let i = y + -0.0723. Round i to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 553472 and 7077376.\nAnswer: 332636672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 5*h**2. Let x(z) = -z**2 - 259*z. What is x(u(i))?\nAnswer: -25*i**4 - 1295*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 11011101?\nAnswer: -11011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**3 - 2*q**2 + 3*q - 1. Let b(p) be the first derivative of -4*p**2 + 4 + 3*p + 2*p**3 + 3\/2*p**4. Determine 3*b(x) + 8*u(x).\nAnswer: 2*x**3 + 2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 3*y**2 + 3*y + 4. Let k(q) = q**2 + 5*q + 3. Let t be (-2)\/((-4)\/12 + 1). Let f be k(t). What is a(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -33*u**5 + 486*u**5 + 263*u**5 + (-3*u + u + 0*u)*(-1 + 2*u**2 + 1)*(-4*u**2 + 0*u**2 + 6*u**2).\nAnswer: 708*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 8*z - 5. Let d = -0.69 - 2.41. Let i = 2245.4 + -2245. What is the closest to z in d, i, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 34808?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from apcccrvvrvq. What is prob of picking 1 q and 1 c?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -r + 7*y + 236, -4*y + 1222 = 5*r. Suppose 232*l = r*l. Factor l + 2\/17*k - 2\/17*k**2.\nAnswer: -2*k*(k - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttt. Give prob of sequence ttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 13) to base 16\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 1:17 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 5:15 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + o + 3)*(64*o + 5 + 47*o - 97*o) to the form u*o**2 + q + b*o and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1b2 - 292?\nAnswer: -e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170 = 3*g - 452. Let r = g - 46. Is 16 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6859*q + 6852*q = -63 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of 467*w**8\/112 - 169*w**4\/3 - 1189*w**2. Find the second derivative of i(l) wrt l.\nAnswer: 28020*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-27)\/(-12))*3.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1357)\/(-230))\/59 + 2\/(-40)*-258. Put 3, -2, -3, w in increasing order.\nAnswer: -3, -2, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*q = 3*q + 90, -r = -3*q - 34. Let v be 54\/12*(3 + 1). Let t = r - v. Solve -3 = -n - t, -3*m - 5*n = 20 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 4*p + 11, 0 = 4*p - 9*p + 3*y - 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 17\/2 of a tonne?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 5131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -119 - -288e?\nAnswer: 2775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.217 - -0.24. Let m = 4.977 + i. Which is the second smallest value? (a) 0.4 (b) m (c) 0.3 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 782\/13 - 9083\/143. Let g = 391\/116 - 53771\/8932. Let b = g - w. Which is bigger: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t - 3*o + 18, 60*o + 28*o - 88 = -5*t + 33*o - 338 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 9) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 3*l - 3. Solve -g = l*g + 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2133, 4270, 6407?\nAnswer: 8544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 20629710?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20922, -41788, -62654, -83520, -104386?\nAnswer: -125252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245969706 is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + (-15 + 4 - (-2 + 6 + -13 + 2)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2979 and 1334261.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21007073?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 540677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9083 > 9121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1551 (base 6) in base 15?\nAnswer: -1d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*2\/(-6)*-4. Let v be (q\/2)\/((-4)\/(-2)). Let s be v\/(-1)*3\/18. What is the nearest to 0.1 in -3, 0.4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 110100000?\nAnswer: -110100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 5*w - 19811, 5*w = -0*w - 2*f + 19819. Suppose w = -5*r - 7407. Let o = r + 24987\/11. Find the common denominator of o and -89\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23.045 - -0.045. Let w = -23 - o. Which is the closest to w? (a) -5 (b) -6 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 785957 is divided by 1483.\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4175.3 from -261429.\nAnswer: -257253.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 4*d = -8, -3*i + 19*d + 6 = 17*d for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - 5. Let p = 14 + c. What is the third derivative of 45*r**6 - 42*r**6 - 2*r**5 + 2*r**5 + p*r**2 wrt r?\nAnswer: 360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 253*c**2 - 37*c**2 - 218*c**2. Let a(b) = -2*b - b + 26 + b. Calculate f(a(v)).\nAnswer: -8*v**2 + 208*v - 1352","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/23? (a) 2 (b) -2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (-4 - -6 - (1 - -28))*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of 0*d**7 + 0*d**3 + 0*d**5 + d + 0*d**2 + 1\/28*d**8 + 0*d**6 + 0 + 1\/4*d**4. What is the third derivative of n(g) wrt g?\nAnswer: 240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 55 = 4*l + 15, -l - 1 = 3*g. Let h = l - 15. Which is the third smallest value? (a) h (b) 3\/8 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 39*r + 260. Let l be s(11). Let j be -21 - -22 - (l\/22 + 3). Determine g so that 12\/11*g**3 - 16\/11*g**2 + 0*g**4 - j*g**5 + 6\/11*g + 0 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0*m**4*(m**3*m)\/((m*m**(-4\/5)*m*m)\/m))\/((m**(2\/3)\/m*m*m\/(m**(-5\/4)*m))\/(m**0)**(2\/15)) assuming m is positive.\nAnswer: m**(293\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -441 = -167*n + 168*n. Let t = -232 - n. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/73 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 47.75\nAnswer: 23.875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -22037 != -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5814, -5813, -5814, -5817, -5822, -5829, -5838?\n\"Answer: -v**2 + 4*v - 5817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 688 + -625. Calculate the lowest common multiple of q and 87.\nAnswer: 1827","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-36)\/27*(-42)\/(-4). Let r = 16 + i. Suppose -5*g - r + 12 = 0. Solve -g*d + 0*h + 2*h = 4, -3*d + 29 = 4*h for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10598292 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: Is 61 a factor of 3260000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10684184.1211 + 10683507. Let p = 0.1211 + k. Let n = p + 677.000423. What is n rounded to 5 dps?\nAnswer: 0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-24) + (-136)\/(-12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 253.3 + -253. Which is the fourth biggest value? (a) -11 (b) -3\/2 (c) m (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 3.1. Let u be -1*(4\/2)\/(-12). Let p = 0.072 - -1.928. What is the smallest value in n, u, p?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, q: 2, f: 2, n: 2, w: 4}. What is prob of picking 1 w and 1 q?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3 = 35. Suppose 2*p - 4*v - n = -2, 2*p - v - 30 = 0. Does 5 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50)\/5*3\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/784 and 5\/32?\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-25)\/((-375)\/(-30))*-11. Solve -4*s + j*s + 108 = 0 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 22*v**2 - 109*v + 154. What is r(26)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 5 = -z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 255 - 174. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000012143 to 7 decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -9. Let m = -41 + k. Sort m, -5, 5 in descending order.\nAnswer: 5, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iill when four letters picked without replacement from lilllliiil?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -1. Let n = -9793 + 9793.1. Let l be ((-20)\/15)\/(1\/(-3)) + -4. Which is the nearest to l? (a) d (b) n (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 89.36932 micrometers?\nAnswer: 0.00008936932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 10:13 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/77)\/((-12)\/24).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -911658 divided by 23991?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -2*h**3\/3 - 23*h**2\/2 + 29*h + 1. Let g(i) = -2*i**2 - 2*i. Let c be g(2). Does 6 divide l(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - 25. Let z = -13 - c. Calculate the greatest common factor of 4 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 7:27 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1500 and 26500?\nAnswer: 79500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggr when three letters picked without replacement from {r: 3, g: 12}.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 8*q**2 + 9*q. Let d be (-15)\/(-6)*(24\/10 - 0). Let f be p(d). Is (-2)\/6 - 1500\/f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/9, 3, -69, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1393 - 1375. What is the greatest common factor of 306 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z + 4. Let b(x) = -6*x + 9. Let q(c) = -3*b(c) + 5*d(c). List the prime factors of q(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from byybbbgbhbmyyghya. What is prob of picking 1 b and 1 g?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - r**2 - 2)*(0*r + 0*r + r) + 0 + 3*r**3 + 0 - 21 + 67*r**3 - 127609*r**2 + r + 127609*r**2.\nAnswer: 69*r**3 + r - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-25)\/(-15))\/(5\/6). Suppose -4*c = -5*g - 28, 2*g = -o*g. Let i(t) = -4*t + 0*t + c*t. Let a(h) = -7*h. Give i(a(m)).\nAnswer: -21*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26571?\nAnswer: 3, 17, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 128061?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -17.2782 times -0.0724\nAnswer: 1.25094168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 640 and 344?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 587 or 586?\nAnswer: 587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 14*v**2 + 3*v + 1. Let f(k) = 41*k**2 + 8*k + 3. Calculate -8*c(z) + 3*f(z).\nAnswer: 11*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -760*y**2 - 77*y + 65. Give b(1).\nAnswer: -772","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3401366026652.3000088 - -3401368179917. Let c = m - 2153264. Let v = -0.7 + c. What is v rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56 - 97. Let n be h\/(-12) - (-5 + (-69)\/(-12)). Let 4*a**3 - n*a**4 + 0 + 2\/3*a - 8\/3*a**2 + 2\/3*a**5 = 0. What is a?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(288) + sqrt(288) + -2 + 2)**2 - (4*(sqrt(288) + 2 - sqrt(288)) + 5)**2)*-5 + -5)*-1.\nAnswer: 4935","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 604*m + 6648. Determine c(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 95460 - 95460. Let c = 95\/3 - 31. Put f, 97, c in ascending order.\nAnswer: f, c, 97","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0*1\/4)\/(1 - 0). Suppose g + 2 = 3*g, 3*h - 5*g - 4 = z. Suppose 0 = -t + h - 1. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2)*(3 + 0 - 2)*(-2*f + 3 + 0 + f + (-3 + 1 + 1)*(f - 4*f - 3*f)) in the form v + n*f and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 5 + 4 - 6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2733017 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(1\/8)*n**(3\/2)*n**(2\/9)*n*(n**(2\/7)*n)\/n*n)**17 assuming n is positive.\nAnswer: n**(41837\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 345*f - 174*f - 720 - 8343 = 0 for f.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-30)*-9)\/((-4)\/10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u + 3*m + 32 = 6*u, 4*u + 4*m = -40 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 10 = 2*o, -135*m = 3*o - 130*m - 21 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/(-6))\/((-2)\/3). Let w = -236 + 240. Suppose 0 = w*a - b - 3, a - 8*b = -5*b - 13. Solve a*c + 4 = l for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 467*k + 385*k - 964*k + 6160 = 0 for k.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - l - 1. Let u(f) = -9*f**2 - f - 1. Let s(q) = 11*q**2 - 3*q - 4. Let d(o) = s(o) + u(o). Give d(i) - 4*v(i).\nAnswer: -2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2698, -10764, -24208, -43030, -67230?\nAnswer: -96808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-2))\/((-22)\/(-880))*1?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 11*h + 15. Let m be q(-10). Suppose 4*k - k = 2*o - 3, m*k = -2*o + 11. Put 1, o, -1 in increasing order.\nAnswer: -1, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 5, 6.\nAnswer: -3, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 4)*(-v + 2*v + 0*v) + (-4 + 4 - 1)*(-334 + 148 + 129 + 3*v).\nAnswer: -4*v + 57","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o - 12. Suppose -2*w + 18 + 6 = 0. Let f be c(w). Suppose y - 2*j = f, y + y + 6 = -2*j. Which is smaller: -4 or y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 3*w - 3 + 26, -3*q - 4*w - 26 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 6. Let q(m) = 2*m**2 - 18. Let b be q(3). Solve 2*z + 3*z - 2*p = -33, b = -5*z - v*p - 9 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 21*g**2 + 12. Let l be s(21). Find the second derivative of 18 + 106*m - 18 + l*m**5 + 18*m**2 - 11*m**5 wrt m.\nAnswer: 20*m**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -460 + 455. Let n = -2.08 - -0.08. What is the second smallest value in u, -0.2, n, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(27\/(-6)*2 - -2)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = -64 + 96. Put w, -1, 14, 0 in ascending order.\nAnswer: -1, 0, w, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*6.7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29004.\nAnswer: 2, 3, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.197 and 16.6928.\nAnswer: 16.4958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 10 = 4*d, 0 = -3*s - 2*d + 13. Suppose -3*f = -3*h + 60, 2*h - f = -s*h + 100. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 divided by -16?\nAnswer: -139\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*n = -2, 0 = -4*o - 5*n + 4*n + 9. Let p be (-2)\/(-28)*-4*o. Which is bigger: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l**3*u + 16*l**3 + 8*l**2 + 10*l*u + 3*l + 4*u wrt l?\nAnswer: -12*l*u + 96*l + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40608?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23774, 24924, 26074, 27224?\nAnswer: 28374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 18*s**2 - 106*s + 15. Let d be p(6). What is the highest common divisor of 243 and d?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/2*12*7\/(-378).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2 + 6*h - 4*h + 4*h. Suppose 2*p - 26 = -5*d, -d + 12*p = 9*p + 5. Let k be f(d). Calculate the greatest common divisor of 104 and k.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/4)*((k*k**6)\/k)\/k)\/(k*k**(-2\/7)*k**(-1\/4)) assuming k is positive.\nAnswer: k**(30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k + 0*k**2 - 7 - 5*k**2 + 4*k**2 + 971*k**3 - 969*k**3 to the form c*k + m*k**2 + r + y*k**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 660029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 3:27 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -2 + (10 - (6 + 1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*p = 37*p + 12. Let l(n) = 7*n + 7. Let a(s) = -13*s - 13. Calculate p*a(c) - 11*l(c).\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 7*w + 1. Let m(r) = 10*r + 2. Let k(q) = -2*m(q) + 3*x(q). Let o(n) = -12*n**2 + 4*n - 4. Give -4*k(y) + o(y).\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 137 + -12. Suppose 5*o - g = -0*o. Does 16 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 6, -20*v + 3*k - 23754 = -25*v. Is v a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/7)\/((-198)\/(-77))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/5 + (-813)\/45. Let y = u + 377\/21. What is the closest to 2\/5 in -0.1, 2\/9, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 789.\nAnswer: 1\/789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 732716?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**3 - 12040692*g**2 - 12081425660460*g + 193305892996800 = 0. Calculate g.\nAnswer: -2006790, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 107441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-174)\/(-60) + -3)\/((-1)\/8).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 111.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -102, -195, -274, -333, -366, -367, -330?\n\"Answer: f**3 + f**2 - 103*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 945475560 divided by 90?\nAnswer: 10505284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 6*w - 7. Let z(m) be the third derivative of -m**5\/60 + m**3\/2 - m**2. Let p be z(-3). Determine t(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*o - 39*o - 108. Let b be 3\/(2\/o*-3). Calculate the greatest common divisor of b and 69.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1652315, 1652331, 1652347, 1652363, 1652379, 1652395?\nAnswer: 1652411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -130\/7297?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -664*z**3\/3 + 27. Let u(d) = -2*d. What is f(u(j))?\nAnswer: -2656*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/4 of a millennium?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4*f + 14. Let z(v) = -v + 2. Let b(m) = -g(m) + 5*z(m). Suppose s - 21 = -2*s. Let q(l) = -l**2 + 7*l - 4. Let p be q(s). Calculate b(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 p, and 1 v when three letters picked without replacement from kvpvkkppp?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of n**9\/252 - 587*n**7\/210 - 147*n**5\/10 - n**2 + 243. What is the third derivative of t(h) wrt h?\nAnswer: 240*h**3 - 14088*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5*c - 21 = 0, -2*h - 2*c + 33 = 3*c. Suppose 12*n - 9 = h*n. Solve n*q = -q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1686810 is divided by 29593?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 15. Let g be ((-10)\/q)\/((-4)\/6). Let j = g + 1. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 422303054 to the power of 1\/4, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6543 + -6488. Suppose 2*h + 5 = 7. Let c = h - -14. What is the remainder when l is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in 51, -50, 0, 2, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -4*d - 16. Let g(k) = -2*k**2 - 42*k + 30. Let l be g(-22). Which is the smallest value? (a) 0.1 (b) l (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l*(l\/((l\/l**4*l)\/l))\/l)*l**6*(l*l**(-2\/3)\/l)**(-36)*((l**5*l)\/l**(-1\/6))\/((l**(-1\/3)\/l)\/l*l*(l*l**5)\/l) assuming l is positive.\nAnswer: l**(59\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -5, 0.2, -0.12, -5\/8 in descending order.\nAnswer: 0.2, -0.12, -0.4, -5\/8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 2*h**2 - 2*h. Let s be q(-2). Suppose 0 = 5*b + 5, -4*b - s = -8*o + 9*o. What is n in 0 + 3\/4*n**2 + o*n = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6782.059mg in tonnes?\nAnswer: 0.000006782059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1048362?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2 - 140*x + 465.\nAnswer: -5*(x - 3)*(x + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201 = -22*u - 45*u. Suppose 0 = -5*a - u*m + 4633, -1240 - 634 = -2*a + 4*m. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -h + 4*h - 55, 3*y = -4*h + 56. Let g = -15 + h. Solve 0*o - 6 = -g*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19398 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(6\/5)*c)\/c)\/c*c*c)**9 assuming c is positive.\nAnswer: c**(99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 249973 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1233 + -184. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 8 = 0, 4*v + 2 = 5*v - w. Suppose -3*k + 4*j = -6*k + 111, k - 5*j - 18 = 0. Let m = k - 63\/2. Is v >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -5. What is the common denominator of (423\/(-36) - -12)\/(2\/260) and (o\/22)\/((-8)\/92)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*2\/2*195\/(-10). Suppose 0 = 4*l + 3*k - i, 2*l + l - 3*k = 24. Factor -1754*g**3 + 0 - 6 + l*g + 1751*g**3.\nAnswer: -3*(g - 1)**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 5:26 PM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**3 + 105*k**2 + 213*k + 107 = 0. Calculate k.\nAnswer: -1, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 159, -12\/11251, -0.5.\nAnswer: -0.5, -12\/11251, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 309610 and 11410?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/4769243 and 5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/(-8))\/(12\/368). Suppose 5*g = 4 + b. Suppose -75 = -5*q - g. Does 10 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1141.85297 * -0.4.\nAnswer: 456.741188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -114756 + -510?\nAnswer: -115266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ninnw. What is prob of picking 1 n, 1 w, and 1 i?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5\/36287 - -8326698\/123194365. Let j = y + -1\/97. Let x = j - 1558\/315. What is the common denominator of -23\/8 and x?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 18*o**2 + 51*o + 1167. What is s(24)?\nAnswer: -1065","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.07 and -6355?\nAnswer: 444.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -53*a**3\/3 - 607*a**2\/2 + 138*a. Find the first derivative of o(f) wrt f.\nAnswer: -106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 23*q + 13. Let u(b) = -11*b - 7. Let g(n) = 9*u(n) + 4*y(n). What are the prime factors of g(-8)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 24, 24, 36, 66, 120, 204, 324?\nAnswer: 486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*o**5\/2 - 143*o**4\/2 - 291*o**3 - 362*o**2 - 44*o + 96 = 0. Calculate o.\nAnswer: -24, -2, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -69 - t - 39 + 7 as s*t + j and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**2 + t + 1. Let m(v) = -19*v**2 + 7*v + 1. Determine 5*k(q) - m(q).\nAnswer: 9*q**2 - 2*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/8 + (-101)\/468. Let z = 122\/1287 - y. Let x = -37\/66 + z. Which is the third biggest value? (a) 1\/6 (b) x (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, e: 4, o: 4, u: 1, a: 2}. What is prob of sequence wauo?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5*j + 6 = 4*l, -10 = -5*l - 3*j. Suppose l*i - 18 = 12. Suppose 0*f + 3*f - 225 = 0. What is the highest common factor of i and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000691236491 to 7 dps.\nAnswer: -0.0006912","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - j = -2469, 3*b + 3*j - 1858 = j. Does 28 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 905267081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 16200.5um in meters?\nAnswer: 0.0162005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5*y**3 + 30*y**2 + 171*y + 18. Calculate the remainder when w(-5) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + 0. Let u = -155\/429 + 4\/143. What is the closest to -0.1 in u, q, -0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -191137*c**3 + 110708 wrt c.\nAnswer: -573411*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-16)*v*v*v*v)**16\/(v**(-5\/14)*v\/(v\/(v*v**(-11)*v))))**(-19) assuming v is positive.\nAnswer: v**(44327\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 5:48 AM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*i + h - 18, 0 = -3*h + 15. Suppose -184 = -3*z + 5*j, 3*z - 200 + 22 = i*j. What is the highest common factor of 348 and z?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 257 = -89. Suppose -3*l - 4*d = -34, -4*l + 5*d - z + 153 = 0. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, -0.3, 21, 0.073?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -226 divided by 2?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 102*d - 14 = -107*d, -2*l + 3*d - 7 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 3*y**2 + y + 1. Let j be p(3). Let t(f) = f**3 - f**2 - 2*f + 2. Let a be t(2). Sort 3, j, a.\nAnswer: a, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 205?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.471 + 0.274. Let b = 4.3471 + 18.6559. Let l = b - z. Round l to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of u**3\/3 - 5*u**2\/2 - 1. Let p(c) = 7 - 7 + 2*c. Let f(m) = 2*l(m) + 5*p(m). Let r(q) = q**2. Determine r(f(k)).\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 times -14460\nAnswer: 1735.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3040, -6305, -9572, -12841, -16112, -19385, -22660?\n\"Answer: -v**2 - 3262*v + 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 108827?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.89 + -0.11. Let d = 1.8 + 1.9. Let t = o + d. Which is the biggest value? (a) 6\/11 (b) -1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 (base 7) to base 4\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -322 - -340. Let v be (-6)\/((4\/(-6))\/((-2)\/(-2))). What is the highest common factor of v and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m + m + 9367*m**2 - 9380*m**2.\nAnswer: -13*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-7) - (-58)\/(-14). Let u be 273\/9 - w\/(-12). Suppose 3*k - 75 = -3*v, 2*v - k = k + u. Is 6 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2 = h, 8*o - 8 = -5*h - 4. Solve -2*v + o*b - 2 = -v, 0 = -v - b - 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.9 - 0.1. Let j = -12 - n. Which is the biggest value? (a) -1\/3 (b) j (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5226867128?\nAnswer: 2, 7, 313, 298201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of f**6\/120 - 13*f**5\/60 + 4*f**3\/3 - 5*f**2. Let h be r(13). Let t = -13 + 13. Solve -4*z - h = -t for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 27 (b) 1504 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of 245*t**6\/2 + 1204*t**5 - 2091*t**4\/8 + 45*t**3\/2 - 90*t**2 - 8. Solve s(u) = 0.\nAnswer: -5, 3\/70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 12:56 AM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*l + 90 - 90 - 261*l.\nAnswer: -173*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*p + 11823 = 3*f - 37*p, -5*p = 2*f - 7876. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110 - 12113?\nAnswer: -12223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2))**8*(q**(-1)*q)**48 assuming q is positive.\nAnswer: q**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 9*r**2 + 7*r - 6. Let q be n(-8). Solve 6 = -4*a + q for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of 2*j**5\/15 - 3*j**4 + 32*j**3\/3 - 46*j**2\/3 + 10*j - 66. Factor g(q).\nAnswer: 2*(q - 15)*(q - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 29*d - 621. Let m be x(22). Let b = 32 - 15. Calculate the highest common divisor of b and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 11 = d, -13*d = -4*m - 16*d + 65. Suppose 5*l = 64 - m. What is the smallest common multiple of l and 25?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 268*k + 28 - 128*k - 28 + 159*k in the form m*k + x and give m.\nAnswer: 299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1118845198 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 1. Suppose -4*c = -2*c - 32. Calculate the least common multiple of u and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**6 - 2*a**2 - 50*a**5 + 15*a**5 - 4*a**3 + 6*a**3 + 19*a - 2*a**3 wrt a?\nAnswer: -240*a**3 - 2100*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {d: 5, i: 9}?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 16 + 2*h + 38*h**2 - 50*h**2)*(3 + 1 - 6).\nAnswer: 24*h**2 - 4*h + 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in 8, -2.5, -0.8, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from oloohhohdiotii?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43264.54 millennia to centuries.\nAnswer: 432645.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/d**(3\/4)))\/((d*d**(1\/11))\/d))**(-2\/97) assuming d is positive.\nAnswer: d**(-29\/2134)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*h*l**2*n**3 - 11*h*l**2*n**2*x + 23*h*l*n**2*x - h*l*n**2 + 32*h*n**3*x wrt n.\nAnswer: -48*h*l**2 + 192*h*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 (base 15) in base 10?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 3:14 PM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 478.99559 + -479. Round h to 4 dps.\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 139\/2 in 0.5, -0.5, -5\/4, -2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5082855 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2288.405 take away -2.816?\nAnswer: -2285.589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) 1.5 (c) 0.3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.27 + 0.07. Let u = 12 - 9.8. Let p = 2.6 - u. What is the third smallest value in -1, p, m?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 195 by -5.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 192*q**2 + 3*q - 2. Let j(o) = -191*o**2 - 4*o + 2. What is 3*f(z) + 2*j(z)?\nAnswer: 194*z**2 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 72 = 3*x, -2*x = t + 3*x - 32. What is the least common multiple of t and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 y, 1 f, and 1 q when four letters picked without replacement from {q: 1, f: 3, e: 5, y: 3, g: 1}?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2400, -9590, -21572, -38346, -59912, -86270?\nAnswer: -117420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 556*j**2 + 8014*j - 453. Give b(14).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 1194562?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 5) to base 11\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + sqrt(475))**2 - (sqrt(228) + sqrt(228)*2*1)\/sqrt(12).\nAnswer: -2856 + 57*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of 3*s**6\/40 - 3*s**4\/8 - 7*s**2. What is the second derivative of j(t) wrt t?\nAnswer: 54*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 88843067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-5*(sqrt(15)\/sqrt(3) + -2).\nAnswer: -50 + 25*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 15) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3 + 50*p + 55*p + 3*p**2 - 109*p. Give o(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34285585 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -738*p**3 + 11*p**2 + 4*p - 12. Let y(o) = -5*o + 6. Let t be 0\/3*(-2)\/(-4). Let q be y(t). Let d be g(q). Round d to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) + sqrt(490)*2)\/(-1*(sqrt(2) - sqrt(2)*3) - sqrt(2)) - (-6*sqrt(5)*1 + 2 + 3 + sqrt(30)\/(sqrt(54) - sqrt(6)))**2.\nAnswer: -705\/4 + 70*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/1188 and 37\/110.\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of f**5\/20 + 7*f**4\/12 - 4*f**3\/3 - f**2\/2 - 5*f. Let i be k(-8). Sort -4, i, 3 in descending order.\nAnswer: 3, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90422476121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -r + 3*r - 4, 12 = 2*c + 2*r. Put c, 0.7, -4 in ascending order.\nAnswer: -4, 0.7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3956324 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: Find the second derivative of -2*m*r**5*u - 9936*m*r**2*u + 2394*m + r*u + 2*u wrt r.\nAnswer: -40*m*r**3*u - 19872*m*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q + 49. Let c be d(-25). What is the closest to -9 in c, 5, 0.011?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aala when four letters picked without replacement from aaaalakaaaaakzalala?\nAnswer: 143\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166560 = -29*m + 609930 + 503741. Is m a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 37131188?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 42*k**2. Let q(n) = 2*n**2 + 1622*n - 2. Calculate q(v(i)).\nAnswer: 3528*i**4 + 68124*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 85 + 35. Calculate the remainder when l is divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 386 + -356. Let i(s) = -v*s - 21*s - 31*s + 83*s. Let a(k) = k**2 + 2*k - 1. Let d be a(-2). Determine i(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 50150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27955622 to the nearest integer?\nAnswer: 5287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ct when two letters picked without replacement from yttyutatttcuy?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 - 29. Suppose 3*u + p*u + u = 0. Which is smaller: u or -1\/116?\nAnswer: -1\/116","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1, 0.5, 0.035, 2\/19?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/17, -2\/9, 4\/7, -2\/13, 1.42, -0.37?\nAnswer: 1.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -1515\nAnswer: -606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 49*z**3 + 101*z**2 - z - 11. Let v(p) = 21 - 10 + 10 - 201*p**2 + 3*p - 98*p**3. Let u(y) = -5*r(y) - 3*v(y). Find l, given that u(l) = 0.\nAnswer: -2, -2\/7, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + 1 - -4)\/1. Suppose 0 = 5*d - z*d - m - 356, 118 = d - m. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p + 0*p - p)*(2*p + 7*p - 5*p)*(-2*p + 2*p + 2*p)*(7*p + 11*p - 11*p).\nAnswer: 112*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z - 4. Let y(s) = -3*s - 12. Let v(c) = 8*f(c) - 3*y(c). Let i be v(-5). What is the common denominator of -79\/18 and 15*i*(-1)\/(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*3*((-14)\/4)\/(-7). Suppose 4*x + o*l + 18 = 0, -4*l + 2 = -3*x + 4*x. Is x != -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 10 = 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/(-1) - (-373736)\/13640.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7504, -15037, -22596, -30187, -37816, -45489?\nAnswer: -53212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1812845471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -2.5. Let y(m) = -2*m**2 - 14*m + 2. Let z be y(-7). Suppose -g = g - 8, -z*w - 10 = -5*g. What is the second smallest value in -2\/7, q, w?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifty-nine fifths of a hour?\nAnswer: 42480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -160*b**2 - 34083*b - 627. Calculate q(-213).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7071 - -27949\/4. Let v = -84 - i. Put 2, v, -0.4 in descending order.\nAnswer: 2, v, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 6 = 8 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((18\/(-8))\/3)\/(44910\/9980)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 16) in base 15?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.68 and 0.3?\nAnswer: 0.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**4\/3 + 4*w**3 - 16*w**2\/3 = 0. What is w?\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sgnx when four letters picked without replacement from gndxmmnsnnmx.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -57, -30 in ascending order.\nAnswer: -57, -30, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 190457755 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*x = 63*x + 78 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -30*x**3 - 725*x**2 + 670*x + 1136. Determine v(-25).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53171379 is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 3.9. Let g = 5 + -9. Which is the closest to -3? (a) s (b) g (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8873.72 take away -0.4779283?\nAnswer: 8874.1979283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (819\/(-12))\/((-1)\/4). Let u = w + -138. Suppose 472 = s + u. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -1 + 0*n + 0*n**2 - 7\/3*n**3 + 8\/3*n**6 + 0*n**4 + 0*n**5. Find the third derivative of m(w) wrt w.\nAnswer: 960*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -22*n**3 - 5*n**2 + n + 2. Let a be z(-1). Is 29 a factor of (3\/9)\/((-2)\/a) + 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 14*m - 41. Let f be u(10). Sort 1, -5, f, 5 in ascending order.\nAnswer: -5, f, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190 = h - 3. Let f = 25 - h. Let d = f - 93. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16311\/32260 - 4\/72585. What is the common denominator of 65\/3 and d?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 500724000?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -5. Let -5*o**2 - 2*o**4 + o**4 + 5*o**r + o**3 = 0. What is o?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11)\/(-8) - (-2 - -3). Suppose -7 + 15 = 2*o. Let d = 21 - 230\/11. Sort o, d, z in increasing order.\nAnswer: d, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 2*t. Suppose -3*g - 15 = 0, t*d + d + 2*g = -10. Find the second derivative of 4*f**4 - 3*f**4 + 2*f + d*f - 3*f wrt f.\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 730848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*c - 174*c + 1565 = 68*c. Determine i, given that 0*i + 0 + 10\/11*i**c - 4\/11*i**4 - 10\/11*i**3 + 4\/11*i**2 = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -66b9?\nAnswer: -66b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-511*c + 1273*c + 1366*c + 451*c)*(2*c + 5 - 2 - 1).\nAnswer: 5158*c**2 + 5158*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1563222 and 219?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**2\/2 - 166*a - 13778 = 0.\nAnswer: -166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7364544 and 446336.\nAnswer: 14729088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -434*((-24)\/(-10) - 2). Let i = p - -173. What is the closest to -2 in -5, 5\/3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 l when three letters picked without replacement from {l: 4, m: 5, h: 2, j: 2}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 12\/5*w + 2\/5*w**3 - 14\/5*w**2 = 0 for w.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -0.5, -1\/4, 2\/25, 1876 in decreasing order.\nAnswer: 1876, 2\/25, -1\/6, -1\/4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -320*j + 1154*j + 3336 = 0. Let r(a) be the third derivative of a**5\/60 + a**4\/24 - a**3\/6 - 2*a**2. Let i(m) = -3*m**2 - 10*m + 3. Give j*r(o) - i(o).\nAnswer: -o**2 + 6*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*q + 6*q - q**5 - 3 - 25*q**2 - 7*q**4 - 19*q**3 - 1.\nAnswer: -(q + 1)**3*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96900 and 3570?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40*a**3*l**2*v + 2248*a**3 - 1042*a**2*l**2*v + 3*a**2*l - 2*l**2 wrt a.\nAnswer: -240*l**2*v + 13488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i. Let p(c) = 1036*c**2 - 21*c + 11. Let y(h) = 7255*h**2 - 142*h + 75. Let k(s) = -27*p(s) + 4*y(s). Give q(k(l)).\nAnswer: 3144*l**2 - 3*l + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 265 is divided by 205?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x - 4. Let f be j(4). Suppose -16 = -3*r - r - 5*d, 3*d - 16 = -f*r. What is the remainder when 19 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*((r\/r**8)\/r*r)\/r*r*(r\/r**2)\/r assuming r is positive.\nAnswer: r**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 560\/30*(-24)\/28\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -4*r**2 - 2185*r + 13. Let u(d) = d**2 + 543*d - 3. Determine -4*b(i) - 18*u(i).\nAnswer: -2*i**2 - 1034*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + (-165)\/63 + 10\/35. Which is the fourth biggest value? (a) w (b) -0.02 (c) 0.3 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -150 + 148 - (-1 - -4 - 14).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 12 + d + 8*d**2 - 5 - 16*d. Let c(v) = -15*v**2 + 30*v - 15. Let f(z) = 3*c(z) + 5*j(z). Factor f(k).\nAnswer: -5*(k - 2)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 9:24 AM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1579 + 8.1579. Which is the closest to 0? (a) -1\/5 (b) 6 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/28*-6*561\/5236*16\/18.\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 0 - z + 2 - z + 9*z. Let y be g(0). Solve x + 3 = -y*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*a + 325, -5*a + a + 416 = 3*l. Suppose -131 = -c - a. Calculate the smallest common multiple of 15 and c.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.3 in 63, -3\/5, 1\/3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -8, -9, 0, 448 in increasing order.\nAnswer: -9, -8, 0, 2, 448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 28 + 9047*w**2 - 9265*w**2 + 186 wrt w.\nAnswer: -436*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 k, and 1 v when four letters picked without replacement from mmkngvmkggk?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/91 - (-570)\/(-126).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -445*y - 436*y + 879*y. Let a(j) = -16*j + 2. Determine a(q(h)).\nAnswer: 32*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -91 + 104. Let i = w + -8. What is the lowest common multiple of i and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3528\/36*288\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -115*q - 3*q**4 - 3*q**3 + 2*q**4 - 1 + 114*q in the form o*q**4 + t + k*q + w*q**3 + d*q**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -25. Let i = a - -18. Let m be (2\/(-3))\/(i\/(-30)). Solve 0 = m*f - j - 9, -9 = -f + 2*j for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8585666.\nAnswer: 2, 353, 12161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -789 + 320. Let z = w + 990. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11562 + 37485520.\nAnswer: 37473958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 479, 2002, 4845, 9278, 15571, 23994, 34817, 48310?\nAnswer: 64743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10 + 62921877?\nAnswer: 62921867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from tttmtttmtmm?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 161\/115 + 32\/(-30)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -5*v**7\/6 - 125*v**4\/12 - 20*v. Find the third derivative of y(t) wrt t.\nAnswer: -2100*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0017654708 to five dps.\nAnswer: -0.00177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cdmly. Give prob of picking 1 y and 1 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 11:34 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 472218?\nAnswer: 2, 3, 211, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b2 - 26cb?\nAnswer: -27b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-9) + 416\/120*5. What is the greatest common factor of 391 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -531*b**3 + 3*b**2 + 3. Let h(q) = 31328*q**3 - 176*q**2 - 176. Give 6*h(w) + 352*t(w).\nAnswer: 1056*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3 + 7 - 3052\/(-1)?\nAnswer: 2, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 95 + -92. Suppose 0 = -2*c + c + 4. Suppose 15 = -o*b, 2*b - 77 - 33 = -c*i. Is 25 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*y = -159*y - 2651 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-7)\/g**(-7)*(g\/g**(2\/25))\/g**(1\/3)*g**6*g\/(g*g**(-5\/3)*g*g)*g*g**(2\/11)*g\/(g\/g**6) assuming g is positive.\nAnswer: g**(11084\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 5*l - 33. Suppose 0 = 3*h - 275 - 16. Let i = h + -78. Calculate the remainder when i is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 7*k - 5. Let s be b(5). Suppose 3*y + 64 = o, o + 4 - 52 = -s*y. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1196471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -ab - 11?\nAnswer: -bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-126)*((-8)\/(-12))\/(-2)*-12?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1692 is divided by 844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2666839633.\nAnswer: 2666839633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 + (-12207)\/6422*19?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -2 - (120 - 109)) + -7?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -266) + (-4 - -5). Suppose t = -2*x - 18. What is the remainder when 2*2\/((-8)\/x) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = -3*w + 5*m - 18, w + m = -3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 130 and 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a century in decades?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33.8 - -11773057.\nAnswer: 11773090.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y - 3*y + 0*y)*(-1 - 3 + 2)*(-37*y - 37*y - 38*y) - 1 - 4 - 14*y**2 + 4.\nAnswer: 434*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 4*g + 24 = 0, -3*a = -g + 2 - 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -5*k + 10. Let w = 515 + -504. Calculate the greatest common divisor of k and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 12. Suppose -4*z = -7*z + 4*s - 7, -33 = 5*z + u*s. Let p(m) = -m. Let j be p(2). Which is smaller: z or j?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10812 and 78715812?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 + 13. Let h(s) = s**3 + 3*s**2 - 5*s - 2. Let q be h(r). Let p be (-3750 - 0)*7*q. What is p rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 17*f + 2. Let m be l(2). Let b be (8\/(-3))\/(13 - 238\/18). Calculate the greatest common divisor of m and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -50.61 + 50. Round p to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -45\/4*t**4 - 10125\/2*t**2 + 675\/2*t**3 + 3\/20*t**5 + 0 - 126*t. Factor u(a).\nAnswer: 3*(a - 15)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2*w = 3*q, 5*w + 10 = 5*q. Let m be w\/(-3) + 259997 - -1. Suppose -6*g = -g + m. Round g to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (21 - 5)*2\/4. Suppose x = j - 2*j + 11, 0 = -2*x - n. Suppose -14*u + j*u - 5800000 = 0. What is u rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1068 + -4?\nAnswer: -1073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**4 + 2*m**3 - 24*m**2 = 0. What is m?\nAnswer: -4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - j**2 + j - 1. Let g(v) = -12*v**3 + 3*v**2 + 9*v - 87. Let z(i) = -g(i) + 9*n(i). Differentiate z(s) wrt s.\nAnswer: 9*s**2 - 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121 is divided by 4\/(-24) + (-33524)\/(-408)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -21. Suppose s + 3*s + 2*i - 26 = 0, d*i + 42 = 3*s. What is the highest common factor of 9 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 578\/9 - 64. Which is the closest to g? (a) 3\/5 (b) -3 (c) -2\/55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 4, 5, 4\/5, -5 in descending order.\nAnswer: 5, 4, 4\/5, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 210 - 144. Suppose 10 + t = 4*i. What are the prime factors of i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -459 + 467. Let l(t) = t**2 - 7*t - 22. Let z be l(10). What is the greatest common divisor of z and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -54 + 14 + (23 - 7).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222120110121001 + -201?\nAnswer: -222120110121202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4*f + 4 - 18 = 0, 0 = -5*f + 5. Are w and 0.11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33193*j**4*w - 1531*j**2*w - 40*j*w + 33307*j + 3*w - 2 wrt j.\nAnswer: 398316*j**2*w - 3062*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 3*y, 19*s - 21*s + y = -3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 16 = 4. Suppose d*s = 30 + 10. Suppose -3*r - 19 + 106 = 0. What is the remainder when r is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 88445746 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 1:42 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 510 and 2092?\nAnswer: 533460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 2*j = 9*r - 1, -3*j - 31 = -40 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 75711612 divided by 6\nAnswer: 12618602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (84\/18)\/(8\/12). Suppose 0*d = -d - 4*f - c, 3*d = 5*f + 13. Solve d = -n - u + 2, -5*n + 5*u - 45 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 1, -1.\nAnswer: -12, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 4*d - 28 = 0, 2*z + d + 18 = 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 6*d**2 - 2*d - 8. Let z be a(-6). Suppose -i - 5*q = -60 - 23, -q - 441 = -5*i. Let t = i - 85. Solve l + t = 0, -27 = k - z*k + 5*l for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2117 + 2117.4. What is the second smallest value in k, -4\/3, -1, -28?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = -w, 4*a - 52 = 4*w. What is the highest common factor of a and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -0.1 (c) -250054\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -105 - -96 - 36\/(-2)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49872 - 49873. Let t = -202 - -2224\/11. Sort 2, l, t in decreasing order.\nAnswer: 2, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + (-11 + 22 - 15) + -47.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1379070094.0000033 - 1379070249. Let y = -155 - o. Round y to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 187\/36 - 40\/9. Let b(i) be the first derivative of -5*i**3 - 9*i + d*i**4 + 21\/2*i**2 - 4. Determine q, given that b(q) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {e: 1, l: 19}.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2, -5*g - 3*f + 17 = f. Suppose 2*u + 6 - 2 = -2*l, 4*l + 8 = 2*u. Let t = l + g. Is t less than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -4, 0, -16 in descending order.\nAnswer: 3, 0, -4, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 2*p**2 - 37*p - 5. Let b be h(-5). Sort -0.2, 0, b, -7\/11 in decreasing order.\nAnswer: b, 0, -0.2, -7\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-175945)\/(-6855)*(2\/(-7) + 2)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1324 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.8 + -1.2. Let s = 6 + b. Is -4\/7 at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -149 + 102. What is a rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.9 - 259382?\nAnswer: -259372.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.4 (b) -5 (c) -2 (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 9*a**3 + 80*a**2 - 9*a - 11. Determine w(-9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/24 and -43\/69.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -156 smaller than -102309\/661?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 3 + -1 + sqrt(1100)*-2 + sqrt(1100))**2.\nAnswer: -120*sqrt(11) + 1136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k + 1. Let u be v(-1). Let c(a) = -a. Let r be c(u). Let j = 0.1 - 1.1. Put r, j, 4 in decreasing order.\nAnswer: 4, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = 16*g + 46. Let o(f) = 116*f**2 - 12*f + 1. Is o(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2862733 (base 9) in base 7?\nAnswer: -16254531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 154654845?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 3. Let j(k) = 234*k + 5. Let i be j(0). Which is the closest to -4.1? (a) i (b) -2\/9 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zfz when three letters picked without replacement from zzzfzzzfzzfzzzzzzz?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-seven fifths of a litre?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 853956 is divided by 63?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -2*z + 750. Suppose -z = -a + 143. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 17*t**2 + 18*t + 3. Let o be h(18). Calculate the highest common factor of o and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 2*g**2 - 2*g. Suppose 679 = 7*v - 35. Suppose -29*k = -14 - v. Let h(m) = -m**3 - 5*m + 3*m**3 + 0*m**3 - 5*m**2. Calculate k*h(x) - 10*t(x).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 338, 5, 0 in increasing order.\nAnswer: 0, 1, 5, 338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60678 by 31.\nAnswer: -60678\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -256*(0 + 9\/(-6)). Suppose -b + 7*b - z = 0. Let q be (-25)\/(-30)*3*(-1 - -65). What is the highest common divisor of q and b?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**3 + 4*o + o**2 + 4*o**2 + o - 2*o**2 to t*o + r*o**2 + x*o**3 + i and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 33201636 a multiple of 377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3815845?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 103*s**2 - 1115*s + 163. Determine x(-10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 732705820 divided by -40915.\nAnswer: -17908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37754 - 6917 + 724925 = -10213*t for t.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hbbsbbbbsbihbshhhhb. What is prob of sequence hi?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29336?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-9))\/(-5)*(2 + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -15*y - 35. Let r = -253 + 248. Let z be f(r). Let p = 25 - 17. Calculate the highest common divisor of z and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*z - 22*z - 14*z - 17*z)*(151*z + 6*z**3 - 2*z**3 - 149*z) to h + y*z**2 + t*z**4 + v*z + n*z**3 and give y.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3227*t - 33217 = -294*t + 45974 for t.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Let c(i) = -i**3 - 9*i**2 - 11*i + 14. Give c(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50 - 71. Let s = h + 17. Which is the nearest to -0.5? (a) 1\/2 (b) s (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 41*x**2 - 2248*x - 2247. Give p(-1).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 1\/5 (b) -251\/7 (c) 1\/3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + 20*p + 19. Determine r(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 87\/9 - (1 + -3 + (-5)\/(-3)) and 440.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -2*t**2\/11 + 238*t\/11 + 1500\/11 = 0.\nAnswer: -6, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-8)\/6*(-207)\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -94746*q**3 + 9*q**2 - 9119*q.\nAnswer: -568476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10*10\/(-540))\/(350\/(-420)))\/(4\/246)?\nAnswer: -41\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 + 3*o**2 - 5*o**2)*(0 - 5 - 4).\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -31*u**3 + 115*u**3 + 95*u**3 + (-7*u - 4 + 4)*(1 - 1 - 2*u - u**2).\nAnswer: 186*u**3 + 14*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-104)\/65 - 24\/(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*h**2 - 145*h**2 - 112*h**2 - 86*h**2.\nAnswer: -456*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 84*x**4 - 7*x - 144*x**2 + 88*x**3 + 44*x = 0. Calculate x.\nAnswer: -2, 0, 2\/7, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*d**3 + 89 - 89.\nAnswer: 10*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 218020?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of x**5\/20 - 5*x**4\/6 + 3*x**3\/2 + 5*x**2\/2 - 41*x. List the prime factors of f(10).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3586 and -0.19083.\nAnswer: -0.54943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000116832 rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g. Let d(n) = -34*n**2 + 1 + n**2 - 53*n**2 + 12*n**2 - 25*n**2. Determine d(i(s)).\nAnswer: -891*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(288) - (sqrt(288) + (-2*sqrt(288))**2) - sqrt(288)) + -1 - ((sqrt(288) + 0)**2 + sqrt(288) + sqrt(288))*5)*4 + -4)*4*-6*-4.\nAnswer: -996096 - 50688*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*m**3 - 311*m + 311*m)*((-5 + 3 + 4)*(m + 0*m - 2*m) + 3 - 3 - 2*m + 3 + 2*m - 3).\nAnswer: -50*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 151*p**2 + 4706*p - 61. What is b(-107)?\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3\/2, -0.43, -0.3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -240319389 or -240319390?\nAnswer: -240319390","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a century in months?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1103213 - -2?\nAnswer: 1103221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3 - 4 + 3 + 15*h**2 + h. Let b be ((-36)\/(-54))\/((-6)\/(-18)). Is u(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of v**5\/10 + 3*v**4\/2 + 8*v**3\/3 + 298*v. Factor w(r).\nAnswer: 2*r*(r + 1)*(r + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3147755106.9999446 - 3147755426. Let u = 319 + v. What is u rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = 5*p - 11. Let g = -8 - p. Calculate the highest common factor of g and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 6*l - 3. Let j(k) = -k - 1. Let g(v) = 4*j(v) + s(v). Let p be g(6). Let t(w) = -2*w + 7. Give t(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 5*w - 10*w, -w - 137 - 163 - 48 = 340*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2002 - 868 - 941)*(2*r**4 + 4*r**4 - 2*r**4) as c + s*r**2 + f*r**4 + l*r + a*r**3 and give f.\nAnswer: 772","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/(-32) + 50705\/20 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-99)\/(-55))\/((-6)\/(-30))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5 = 1. Suppose -a = -x*a + 2. Solve 0 = -i - 3 + a for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 0*m + 0*m + 5*m**2 - 2*m. Let v be q(3). Suppose -y - 9 = -c + y, 3*c - 2*y = v. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2864127 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - p**2 - p. Let b be d(2). Let u be (b + 4)*2\/6. Let c = 645 + -640. Sort c, 0, u.\nAnswer: 0, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 10*l - 3. Let q be t(6). Suppose -443 - q = -5*f. Suppose 0*c + f = 4*c. Solve -3*k - 2*j = -c, 0 = 5*k + 5*j - 25 - 25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*i + 3960 = 2*i. Suppose -3*j - 9 = 0, 5*j - i = 8*t - 11*t. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 385550227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -282148 - 278463 = -51*l + 95147. What is the thousands digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -165, -313, -451, -573, -673, -745?\n\"Answer: q**3 - q**2 - 152*q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 3. Let l = t + 0. Suppose 9 = 6*y + 9. Solve -2*q + l + 1 = y for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*b - 27 + 12*b + 8*b - 27*b - b to the form v*b + d and give d.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 12*f**2 - 3*f - 11. What is i(-12)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 5 - 3 - f)*(-2328 + 4037 + 4247) as u + l*f and give l.\nAnswer: -5956","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 80\/12*351\/36. What is the least common multiple of 10\/w + (-2 - (-180)\/13) and 11?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 - -119\/3. Suppose w + 2*w - 6 = 0. Which is bigger: w or n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 2*j**2 + 6*j + 3. Give n(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + v + 16. Suppose u - v = -3. Factor -2*y**2 + y**2 + 3*y**3 + 3*y**2 - y**u.\nAnswer: -y**2*(y - 2)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of 3829*t**5\/20 - 2609*t**3\/3 + t**2 + 695*t - 4. Find the second derivative of y(s) wrt s.\nAnswer: 22974*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a century?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = -2*o + 3*z + 81, -o - 3*z = -42. Let m(j) = -15*j - 5. Let x be m(-6). Suppose -x = 4*h - 9*h. What is the remainder when o is divided by h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30*k**2*q**3 + 142*k**2*r*z - 39*k**2*r + 21*k*q**3*r*z - 2*k*q**3*z + 30*q**3*r*z - 3*q**2*r + q*r*z wrt k.\nAnswer: -60*q**3 + 284*r*z - 78*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of 0*c**2 + 0*c**3 + 3*c - 2\/3*c**4 + 0. Let j(v) be the first derivative of 2*v**3\/3 + 2. Give y(j(m)).\nAnswer: -32*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 7 + 2)*(-16 + 295 + 321)*(4*p**3 - 7*p**3 - 2*p + p).\nAnswer: 10800*p**3 + 3600*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*c = 98*c + 26. Factor 0 + 3\/2*k - 3\/2*k**4 + 9\/2*k**3 - 9\/2*k**c.\nAnswer: -3*k*(k - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 29) + (251 - 226).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-136)\/(3 + -1 + -4). Let l be (3 + k\/(-20))*-5. What is the second biggest value in -0.2, 4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 536126 and -0.2.\nAnswer: 536125.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3ab9 + -432?\nAnswer: -410b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 941 is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, -5, 7, -2\/21, 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16677 and 3597.\nAnswer: 183447","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 6.5. Let r = 11 - 3. Let w be (3\/12)\/(3\/r). Sort l, w, 2 in ascending order.\nAnswer: l, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-100 - 18772\/(-208))\/((-6)\/8 + 1).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(-40)*4 - (-18)\/4. Let l(z) = -z**3 - 7*z**2 + 12*z - 4. Let p(k) = 2*k**3 + 13*k**2 - 24*k + 8. Let i(m) = w*p(m) + 9*l(m). What is i(-12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**3*r**2 + 2192*b**3 - 2*b**2*g*r - 17753785*b*g*r**2 - 539*b*g - b*r wrt r.\nAnswer: 4*b**3 - 35507570*b*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0*x = -4*x - 19, 18 = 3*n - 3*x. Let q(b) = 4*b**2 + 4. Let u = 337 + -337. Let a be q(u). What is the fourth smallest value in -1.1, -0.5, a, n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**4\/6 - 50*q**3\/3 - 839*q**2\/6 - 916*q\/3 - 182 = 0.\nAnswer: -91, -6, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 6*l**2 + 2*l + 1. Let h be y(-1). Solve -h = 6*x - x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-40)\/(-25) + 4\/10. Suppose g - 5 = -4*o + 22, -104 = -v*g + 2*o. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (18\/(-72))\/((-1)\/(-30))*(-4)\/3. Solve j = 2*q - u, -5 = 4*j + 4*q - 13 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -467 (b) 0.4 (c) -1\/7 (d) 54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m + 15 + 7 + m**3 - 6 + 2*m. Calculate the remainder when 29 is divided by f(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -74080 by 37040.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 8617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**1\/h))\/h)**(-1\/86)\/(h**(-3\/7)\/(h\/((h**(2\/9)*h)\/h)*h))*h**(1\/2)*h\/h**6*h**(1\/4)\/(h\/h**(-2\/3)) assuming h is positive.\nAnswer: h**(-40079\/10836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -14 - 5*i + 31 + 10. Let h be j(-12). Calculate the highest common divisor of h and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4*g**2 - 2*g - 3. Let p(z) = 5*z**2 + z + 4. What is -3*p(h) - 4*v(h)?\nAnswer: h**2 + 5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) 2\/105 (c) -1719\/7 (d) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from idimwiip. Give prob of picking 1 w, 1 d, and 1 p.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 523, 897, 1521, 2401, 3543?\n\"Answer: y**3 + 119*y**2 + 10*y + 393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 4*j - 64, 3*i + j = 145 - 169. Let l(h) = h**2 + 11*h + 22. Determine l(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(85) + sqrt(85)*-2) - -3*(sqrt(85) - (sqrt(85) + sqrt(85)*-2) - sqrt(85)))\/(sqrt(605) + -5*(3*sqrt(605) + sqrt(605)))*6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**4\/12 - u**3\/2 + 25*u**2. Let m(c) = c + 1. Let p be m(-4). Determine q(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2002 + 37. Suppose -261 = -4*r + h. Suppose 0*s = -5*s + r. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 899*m = 790*m + 3706. Solve -m + 18 = 4*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*q**2 - 28*q**2 - 4*q**2 - 642*q + 40*q**2 + 571*q**3 wrt q?\nAnswer: 3426*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/156 - 77\/588)\/((-27)\/4)?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14043.24 rounded to the nearest one hundred?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(171) + (sqrt(171)*-2 - sqrt(171) - sqrt(171) - sqrt(171)))\/sqrt(9))**2.\nAnswer: -16*sqrt(19) + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.62, -0.7, -0.02 in decreasing order.\nAnswer: 0.62, -0.02, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(832) + -1 + -3 + sqrt(325)*1 + -4.\nAnswer: -11*sqrt(13) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129287?\nAnswer: 129287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*w + 17 + 15 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60035 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -4*b + 0*b**2 + 0 + 0*b**5 + 0*b**4 + 13\/6*b**3 - 1\/7*b**7 + 0*b**6. Find the second derivative of d(i) wrt i.\nAnswer: -120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76183969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 2\/7 (b) 1\/2376 (c) -0.4 (d) 2.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*r**2 + 34\/3 + 28\/9*r.\nAnswer: -2*(r - 17)*(r + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 75463.639 to the nearest 10.\nAnswer: 75460","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28*d**3*v**3 + 13*d**3*v**2 + d**3*v + 515*d**2 - 18*d*v**3 - 229*d*v - 167*v**3 wrt v?\nAnswer: -168*d**3 - 108*d - 1002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uul when three letters picked without replacement from {u: 4, v: 1, l: 2, w: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 20 and -1.9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 27*-732812\nAnswer: -19785924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -133 - -138. Let z = -32.5 + 32.9. Which is the closest to -2\/7? (a) z (b) 2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 114 and 129?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*d*f + 3641*d + 2947*f - 11 wrt d?\nAnswer: 6*f + 3641","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/7 + 986*q\/7 - 1584.\nAnswer: 2*(q - 11)*(q + 504)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23950 and 4172400.\nAnswer: 1998579600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5381136 and 387.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1650885 or -1650880?\nAnswer: -1650885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -a**7\/42 + a**6\/30 + a**5\/10 - a**4\/6 - a**3\/6 + a**2\/2 + 19*a. Factor j(w).\nAnswer: -(w - 1)**3*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, m: 3}. Give prob of sequence mrrr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -1455*y + 463. What is the ten thousands digit of u(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 + -24)*(-102)\/(-4). Let d = -143 - r. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 32 = 15*r. Let w be (-15)\/(12\/20*10\/r). Solve 3*j = -2*j + w for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*o + 4 = 0, 13 = -0*f + 5*f - 3*o. Let v(p) = -f*p + 18 - 18. Let x(t) = 4*t**2. Determine x(v(s)).\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173*j + 108*j + 111*j.\nAnswer: 46*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -a82a3 (base 14) to base 16\nAnswer: -63477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 953480?\nAnswer: 2, 5, 11, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14389.182 months to centuries.\nAnswer: 11.990985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, 2\/11, -11, -0.32, 1\/3 in decreasing order.\nAnswer: 1\/3, 2\/11, -0.32, -5\/4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -39b3 (base 13) to base 12\nAnswer: -4942","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 0. Suppose -2*g - 3*y + 448 = 0, z*g - 432 = 3*y + 2*y. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 j, 1 w, and 1 u when four letters picked without replacement from {k: 6, w: 3, j: 2, u: 4, g: 3}.\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 98726.\nAnswer: 987260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/15, 2, 3\/2, -36\/11, 4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.5 in 4, -3\/5, -10, 3, -4, -16.7?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 447 is divided by 115.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (411*d + 73*d - d + (3 + 2 - 7)*(6*d - 4*d - d))*(-6*d**2 - 45*d + 45*d - 1) as i*d + h + g*d**2 + s*d**3 and give s.\nAnswer: -2886","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 63 + -68. What is the nearest to -1 in y, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + j**2 - 12 - 26*j**2 as i + a*j + g*j**2 and give g.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/6)\/((-31)\/62)*(-6)\/(-1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -4. Let u = -7.3 - -2.3. Sort u, k, 5\/4 in decreasing order.\nAnswer: k, 5\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 135858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -77 - -81. Differentiate -30*s**4 + s**3 - s**3 + 40*s**j + 11 wrt s.\nAnswer: 40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10556.\nAnswer: 2, 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 14135*3.39\nAnswer: 47917.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5347*d**3 + 2664*d**3 + 2703*d**3.\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 6*d**2 + 3*d + 396. What is k(0)?\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 367*c + 16 = 369*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*y = -50, -16 = 3*f - f - 4*y. Let m be (-46)\/f - 4\/14. Solve -g = m - 5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + f + 1 + (3 - 5 + 0)*(64 + 5*f - 64).\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3104 - 21442?\nAnswer: -30101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 9*f**2 + 29*f + 48. Let s be n(12). What is the units digit of (-300)\/(-8)*(-108)\/(s\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5)\/(w\/(w\/(w*w\/(w\/(w**(-2\/7)*w))*w)*w)))**(-28)*(w**0)**(-28)\/(w\/(w\/w**(3\/5))*w*(w\/w**(3\/4))\/w) assuming w is positive.\nAnswer: w**(3743\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/7875 and -71\/1725.\nAnswer: 181125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 9*c + 0 + 2 + 1 - 7*c + 0*c. Let d(g) = g + 1. Let h = -6 + 11. Suppose 4*k = h*r + 21, -3*k + 5*r - r + 16 = 0. What is k*d(a) - m(a)?\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7d996 (base 16) to base 15.\nAnswer: -a266e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(91)*1 - sqrt(91))\/(sqrt(343)*1 + sqrt(7)))**2.\nAnswer: 325\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-26))\/((-3116)\/1066)?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2090 divided by 418\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.4, 5\/2, -4.\nAnswer: -4, -2, -0.4, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 264 (base 12) to base 16.\nAnswer: 16c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1219 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-3)*-1*(-12)\/48?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/92 and -33\/12029.\nAnswer: 48116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 26\/3, -267, 14?\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -145*g - 193 - 71*g - 2*g**3 - 445 - 36*g**2 + 206 = 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 9}. Give prob of sequence pp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 3*x + 4. Let b = -12 - -8. Let z be u(b). Let q = z + -6. Solve 0 = -q*l - 10 - 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 10*p**2 + 10*p + 12. Let v be g(11). Let m = -6 - -11. What is the third biggest value in -2, m, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -187 + -82?\nAnswer: -280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l + 3. Determine c(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 35*u - 244. What is the lowest common multiple of 10326 and t(-10)?\nAnswer: 10326","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -6*g + 4*g - 32, 5*y = -4*g + 27 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -509470 equal to -509470?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of 2*h**3\/15 - 2*h**2 + 10*h - 15. Factor q(v).\nAnswer: 2*(v - 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 0.3 (b) 1 (c) 0.1 (d) 1.34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x. Let r(h) = 12*h. Determine r(y(a)).\nAnswer: 36*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1645000*l - 244735 wrt l?\nAnswer: 1645000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5954?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -s + 6. Suppose 26*q + 82 = -360. Let j = s - q. What is the lowest common multiple of 1 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 33?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/7 - (-13)\/21. Let z = 1.5 - 1.8. Let r = -1.7 + z. Which is the nearest to r? (a) d (b) 1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 3*k**2 + 85*k + 378. Let x be w(-5). Let s(i) = i**2 - 7*i - 8. Let z be s(8). Solve 2*t - 2*p = -2, z = -x*t - 4*p - 1 + 33 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(450)*-1)\/sqrt(10) + 3)*3*-4 + 5)**2.\nAnswer: -2304*sqrt(5) + 7504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 + 10 = 6*x. Is (-1 - x) + 7\/((-21)\/(-25488)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -12 - 14. Suppose -6*t = -16*t + 100. Let z = o - t. What is the highest common divisor of 32 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + y = -21 + 52, -4*y - 4 = 0. What is the third biggest value in 0.4, 0, n, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41098.31 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3*y - 4. Let x(l) = l + 1. Determine 2*s(c) + 7*x(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, -0.91852, 2\/13, 631?\nAnswer: 631","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 3:16 AM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5131 - 4?\nAnswer: 5125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3b93 - -a9?\nAnswer: -3ac8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1871 (base 12) in base 9?\nAnswer: -4054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -9. Let w(d) = 7*d**o + 4*d + d + 0*d + d**3 - 4. Calculate w(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 0.8. Let j be (6\/(6 - 3))\/(-4). Which is the closest to 2\/5? (a) j (b) -1\/3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) 0 (c) 1 (d) -0.1 (e) -23\/2 (f) -1 (g) 0.6\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 + 0)*(3*m**3 - 60*m**3 - 32*m**3) as c + g*m**3 + h*m**2 + n*m and give g.\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express d**4 - 7 - 2*d**3 + d**3 + 0*d**4 as r*d**3 + k*d**4 + a + h*d**2 + q*d and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -137*u**4\/24 + 6*u**3 + 168*u**2. Differentiate s(a) wrt a.\nAnswer: -137","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + (123\/82)\/((-3)\/(-8)). Solve -a - 2*a = 3*x + 21, 5*x - 3*a = -d for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 6*a**3 + 4*a**2. Let j(t) = -5*t**3 - 3*t**2. Suppose -16 = 3*p - 5*d - 0*d, 2*d - 4 = 2*p. Let m = -3 - -7. Give m*j(v) + p*f(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 3*r + 161, 2*k + r - 160 = 3*r. Let t = 81 - k. Let 0*j**t + 3\/7*j**3 + 6\/7 - 9\/7*j = 0. Calculate j.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10320 (base 4) to base 8\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1327 + 625 = 163*v - 1308 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 4) to base 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.9581781 months?\nAnswer: 0.079848175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -2.04. Let x = u - -0.36. Let d = -0.3276 - -0.0276. What is the second biggest value in d, x, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + (-4)\/3)\/(4\/(-18)). Suppose -8 - 25 = -3*x. Let v(m) = -4 - 12*m + 22*m - x*m. Let d(l) = -1. Give y*d(f) + v(f).\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5*j - 559 = 0, 3*j - 391 - 688 = -4*s. What are the prime factors of s?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2028780?\nAnswer: 2, 3, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 158341?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 328297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-8)\/x**(-5))\/(x**(-1))**(4\/13))**(2\/19) assuming x is positive.\nAnswer: x**(-70\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of 4\/7*d**3 + 2 + 2*d**2 + 1\/420*d**6 + 1\/15*d**5 + 0*d + 25\/84*d**4. Factor p(g).\nAnswer: 2*(g + 1)**2*(g + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-14)\/3)\/(4\/(-6)). Let g(w) = 9*w + 6. Let f(k) = 23*k + 10. Let u(v) = -2*f(v) + 5*g(v). What is u(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -4.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 0*s - s = -14, -3*j = 3*s - 18. Suppose c - 3 - j = 0. Solve -3*t - b = -2*t + c, -b = -4*t - 5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**3)\/(f\/(f*f\/(f*f*f**6*f*f)*f)*f*f))\/(((f\/(f\/f**(2\/5)))\/f)\/f)**2 assuming f is positive.\nAnswer: f**(-14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22506.9 - 22507. Let x = 0 + 1. Let g be 1\/(-3)*(2 - 0). What is the fourth smallest value in -2, x, n, g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -1\/3, -2, 5, 0.767, -4.\nAnswer: -4, -2, -3\/2, -1\/3, 0.767, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 175207 (base 8) to base 16\nAnswer: fa87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n\/n**(-6))\/n)**36)**(-3\/16) assuming n is positive.\nAnswer: n**(-189\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 0.206?\nAnswer: -1.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (160\/(-64))\/(2\/(-21044)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 + 318*n - 11. Let j(f) = 26*f. Determine z(j(m)).\nAnswer: 1352*m**2 + 8268*m - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 o, 1 t, and 1 p when four letters picked without replacement from qttqktoqteeoppek?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddqdddddddddd. Give prob of picking 3 d and 1 q.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 97609713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, d: 2, h: 3, p: 1, t: 5, i: 1}. Give prob of picking 2 t and 1 z.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 8 + 7 = 0. Suppose 0 = o*p - 7 + 22. Which is the nearest to -1? (a) -2 (b) p (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4116715?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -225, -329, -519, -813, -1229, -1785, -2499, -3389?\n\"Answer: -3*n**3 - 25*n**2 - 8*n - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**3 - 2*q + q**2 - q**4 + q**2 - q**2 - 2*q**2 to g*q**3 + h + t*q**2 + c*q**4 + l*q and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 638, 2539, 5650, 9917, 15286, 21703, 29114?\n\"Answer: -9*c**3 + 659*c**2 - 13*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 89147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from spwpp. What is prob of sequence pw?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/3)*p**(2\/23))\/(p*p*p*p\/((p*(p\/p**(1\/4)*p)\/p)\/p))**(4\/9) assuming p is positive.\nAnswer: p**(-350\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*i + 20*i - 1180 = 0 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -17, -2, 12, -5 in increasing order.\nAnswer: -17, -5, -2, 2, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 144416518 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 46*s**2*u + 1372*s**2 + s*u + s - 3300092*u wrt s?\nAnswer: 92*s*u + 2744*s + u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -7*z**2 + 3*z - 8. Let l be s(-5). Let m be (-3528)\/l + (-2)\/(-11). Let c = m + 3. Calculate the greatest common factor of 21 and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 64481 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 84, 0.3, 0.03787, -0.35 in increasing order.\nAnswer: -0.35, 0.03787, 0.3, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 9:33 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/4)\/(-2)*-20. Find the common denominator of (5\/(p\/(-26)))\/1 and (6\/4)\/((-63)\/(-100)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 6*a = 2*a - 16, -k = 3*a. Solve 0 = 4*u - k*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 5*w**2 + 85*w + 501. Calculate n(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = 5*i + 34, 3*l + i - 4 = -0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(65)*3)\/(sqrt(720) + (sqrt(720) - (sqrt(720)*2 - sqrt(720))))*-4.\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 20*s - 111. Let g be o(6). Suppose 0 = g*j - 6*j - 156. What is the least common multiple of j and 10?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3256, -6501, -9758, -13033, -16332, -19661, -23026?\nAnswer: -26433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n**5\/13 + 216*n**4\/13 - 1940*n**3\/13 - 28800*n**2\/13 - 2898*n - 11016\/13 = 0. What is n?\nAnswer: -17, -9, -1, -3\/7, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**5 + n**5 - 6*n**5 + (-4*n + 4*n - n)*(4*n**4 - 2*n**4 - 3*n**4) + (n**3 - 11*n**3 - 4*n**3)*(-12*n**2 - 36 + 36).\nAnswer: 167*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -5*n**2. Let a(q) = 104*q**2 - 9776*q + 5973136. Let l(b) = a(b) + 20*k(b). What is t in l(t) = 0?\nAnswer: 1222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9499447\/19 - 500454. Let k = -483 - n. Is 0 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 + -27. Let z be g - 10\/(-7)*-2. Let i = -5.9 - -6. Which is the smallest value? (a) -9 (b) z (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -48649?\nAnswer: 48649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 3*p + 12. Let s = p - -4. Let y(g) = s + 0 + 3*g. Let o(m) = -2*m**2. Calculate o(y(b)).\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 6:15 AM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.63777 rounded to 2 decimal places?\nAnswer: -0.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -a**3\/7 + 17. Suppose f(l) = 0. Calculate l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -w**3\/12 + 11*w**2\/4 - 10772. Factor j(l).\nAnswer: -l*(l - 22)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 232798\/102 - (-7)\/(-3). Calculate the highest common factor of g and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3548 - 2452. Let q = x - 606. What are the prime factors of q?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/2*2\/(-3). Let k be 2\/3 + (-26)\/30. Suppose -2*q - 10 = 3*r - 7*r, -2*r + 3*q - 5 = 0. What is the third smallest value in r, k, i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pwpppwwwpppwwpwpwpw. What is prob of picking 2 p?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fww when three letters picked without replacement from swswscsfgsgwssw.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31526, -30871, -30230, -29609, -29014?\nAnswer: -28451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 4*g + 6. Let s(v) = v. Let r(m) = -3*m - 7. Let u(i) = r(i) - 2*s(i). Let h(o) = -6*f(o) - 5*u(o). Give h(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2898\/1512 + (-25)\/20. What is the nearest to k in 0.5, 2\/17, 1\/25, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a milligram in micrograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (2*sqrt(1700) + 1 - 4*(4 + sqrt(17)*-2)))**2.\nAnswer: -560*sqrt(17) + 13428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -1\/4*g**4 + 1\/6*g**3 - 14*g**2 + 1\/12*g**5 - 1\/120*g**6 + 0*g + 0. Give z(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 9*h**2 + h - 22. What is b(-9)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -1874*g - 54269. Determine i(-29).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -4*o + 4, 3*o = 4*y - 0*y - 8. Let h(j) be the first derivative of -1\/6*j**3 + 1\/24*j**4 - 1\/6*j + 1 + 1\/4*j**y. Factor h(l).\nAnswer: (l - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 5:34 PM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-101)\/(-14) + (-48)\/(-168). Let w(a) be the first derivative of -3\/5*a**5 + 6*a + 3\/4*a**4 + 3*a**3 - 5 - v*a**2. Solve w(h) = 0 for h.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173394831 is divided by 120?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -93*k**2 + 10*k. Give l(2).\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - -38*1 - -4. Let d = m - 26. Calculate the remainder when 70 is divided by d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3339\/6*(4 - 50\/15) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxmmmxmxfmm. What is prob of sequence mxx?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*q + 66*q = 136*q. Solve -6*g = -q*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*u - 54*u + 101*u as x*u + z and give x.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -5 - 10*f**2 + 22*f**3 + 11*f - 21*f**3 + 2*f**2. What is the tens digit of r(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -491*c = -5*d - 492*c + 17, -2*c + 24 = 5*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1835 is divided by 609.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0 - 3 = 0, -11978 = -4*s - 2*a. What is the hundreds digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101 - 100011110000?\nAnswer: -100011010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1128, 13, 89, -1?\nAnswer: 1128","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -25772, -51245, -76724, -102209?\n\"Answer: -3*k**2 - 25464*k - 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-7) + ((-18)\/30)\/(63\/(-345)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5647.412 millennia?\nAnswer: 5647412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.7, -3, -120\/7?\nAnswer: -120\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = f - 1, -3*f + 3*p + 3 = -9. Suppose -f*m = 11433478 + 130522. Round m to the nearest one hundred thousand.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4827 or 2\/9?\nAnswer: -4827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 18*j - 29. Calculate c(18).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/6 and 11\/75?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 5 - 11, -b + 2404 = 5*x. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q**3 - 30*q**2 - 43*q + 21. Does 4 divide z(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -2*h**3 + 7*h**2\/2 - h + 92. Suppose p(t) = 0. Calculate t.\nAnswer: 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101101 (base 2) to base 8\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 49 - 49 - 3*y + (-2*y - 2*y + 2*y)*(-4 + 0 + 5) + y + 2*y - 2*y - 2*y - y + 5*y + (-y + y + y)*(2 + 0 - 3) + 4*y - 2*y + 0*y + y - 5*y + 2*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71717, 71689, 71651, 71597, 71521, 71417?\nAnswer: 71279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 48975092 bigger than 48975092?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -132, -336, -632, -1020?\nAnswer: -1500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2161\/306 - 125\/18. Factor t*k**2 - 10\/17*k**3 - 2\/17*k**4 + 8\/17 + 16\/17*k + 2\/17*k**5.\nAnswer: 2*(k - 2)**2*(k + 1)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 8*r**3 - 11*r**2 + 11*r - 8. Let h(a) be the third derivative of a**6\/40 - a**5\/15 + a**4\/6 - a**3\/2 - 11*a**2. Determine -11*h(s) + 4*w(s).\nAnswer: -s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*a - 2*a. Which is smaller: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 - (7 - 3))*-58. Is -58 at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 0*r = -6. Let z(j) = j**3 - j - 1. Let f(q) = -5*q**3 + 4*q + 6. Let d(c) = 7*c - 3. Let w be d(2). Let p(o) = w*z(o) + 2*f(o). What is p(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/5))**(5\/4) assuming m is positive.\nAnswer: m**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)*2*2)**2.\nAnswer: 1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 14104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6\/30*(884 - -6 - 0) is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-20 - 2 - (-2 + (0 - 0))).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 34 in -0.4, 0.5, 0.036, 3\/40?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -12413 from 2998026.46.\nAnswer: 3010439.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 7*t**2 - 2*t + 2. Let w be (-2 + (3 - 1))\/(-2). Let p = w + 6. Let c be f(p). Calculate the greatest common divisor of 13 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2276010 divided by -99.\nAnswer: 22990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 128001225 to the power of 1\/5, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 - -17. Suppose 4 = 4*f, -3*u + 1638*f + 485 = 1640*f. What is the remainder when u is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqzqqzqzqq. What is prob of sequence zz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5411576?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-1) - 1*-17. Suppose 3*g + 2*i - 2 = 0, 4*g + 3*i = 26 - 24. Solve 0 = l - 2*n - 2, 7*l + u = g*l + n for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8939*-2.6\nAnswer: 23241.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + -18. Let t(u) = l*u + 9*u - 4*u. Is 18 a factor of t(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1220.85 plus -23?\nAnswer: -1243.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*k - 21*k + 1092 = 14*k. What is the highest common factor of k and 4758?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 7*l**2 - 3*l + 4. Let f be t(-6). Let w = f - 194. What is the tens digit of 446\/16 - (-10)\/w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272 = 4*m - 0*m. Suppose -m = -l - l. What are the prime factors of l?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -4*g, -2*g - 10 = -4*q - g. Sort 22, 0, 1, q.\nAnswer: 0, 1, q, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/7)\/(x**0*x))\/((x*x**4)\/(x\/(x\/(x\/(x**2\/x)))))*(x*x**7*x*x**(-2\/5))\/(x**1)**(-14\/15) assuming x is positive.\nAnswer: x**(401\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v = -11*v - 180. Let h = v - 31. Let r be h - ((4 - 7) + 6). Solve r*c - 6 = -c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 31*n**2 - 72*n**2 + 2.\nAnswer: -103*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2223 + -3?\nAnswer: -2231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -67 - -120. List the prime factors of c.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**2 - 2932*n - 2149156 = 0.\nAnswer: -1466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-four fifths of a decade?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -65980\/7 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*n - 5 = 5*o, -2*o - 2 = -5*n. Which is the nearest to o? (a) 2 (b) 0.3 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 3*b = 10, -2*d - 699 + 751 = -10*b for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - u - 3*u + 52, 0 = -i + 5*u + 31. Let b = 26 - i. Let h be 1\/(b\/4*2). What is the nearest to 1\/2 in 1\/7, 4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 17 = -4*i, i - 8 = 2*i + 2*l. Find the first derivative of 185 + 23*c**2 + 11*c**4 + 15*c**2 - 46*c**i wrt c.\nAnswer: 44*c**3 - 16*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**5\/7 + 50*o**4\/7 + 378*o**3 + 3634*o**2 + 44876*o\/7 - 73008\/7 = 0. What is o?\nAnswer: -13, -4, 1, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16476 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 10:24 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1615400 rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-4))**(-3)*((z*z\/((z\/z**(-14))\/z))\/z)\/z*z*z\/z**(5\/4))**(-28) assuming z is positive.\nAnswer: z**119","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -192 - -278. Suppose -2*l + g + 154 = 0. What is the common denominator of 2\/5 - 63\/l and 71\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in six fifths of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 292*a + 890*a + 17730 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 5*c**2 - 5*c - 5. Let d(t) = -11*t**2 + 9*t + 13. Let b(l) = -3*d(l) - 7*r(l). Let h be b(2). Solve -13 - 3 = h*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -d + 22, 0*d - 2*a - 7 = -d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22.77 - 0.77. Let s = 26 - u. Let j = 6 - 5.9. Which is the nearest to 0? (a) j (b) -0.3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -4, 36, 0.0565 in decreasing order.\nAnswer: 36, 3, 0.0565, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (13 + -2 - (8 + 2) - (1 - 13)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, e: 4, t: 1, o: 7}. Give prob of sequence tyy.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4578 (b) 0 (c) 60\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 4 = -2*x, -42*s + 38*s - 20 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 6 - 4 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 39\/40090?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -242 - -482. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 12:56 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 9*u - 13. Let i be s(10). Sort 5, -0.3, 1, i.\nAnswer: i, -0.3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -5\/12778322 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2659141, -5318284, -7977427, -10636570, -13295713, -15954856?\n\"Answer: -2659143*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 4*j**3 - 7*j**2 - 4*j - 8. Let c be i(6). Find the common denominator of -121\/12 and 6\/10*c\/8.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-4*(sqrt(80) + 1*sqrt(80) + sqrt(80)))\/(((1*sqrt(300))\/sqrt(6))\/(sqrt(25)\/(sqrt(5) + (sqrt(80) - sqrt(5))))) + -2.\nAnswer: -2 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -4 + 80 + -35.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 95 + -93. Let y be -1*(3 - u)*(-4 - -1). What is the first derivative of -12 - 14 + y + 2*t - 33*t wrt t?\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4880682 and 481194?\nAnswer: 34164774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -1 + 1 - 8 + 12. Let q(n) = -n**3 - n + 21. Give 11*b(f) - 2*q(f).\nAnswer: 2*f**3 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -76, -313, -554, -799?\n\"Answer: -2*o**2 - 231*o + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*o - 429*o - 149*o = 1104. Let x be (-6)\/(-15)*2\/(-4). Which is the third biggest value? (a) o (b) x (c) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2117 smaller than -2548?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -138 - -198. Let b be a\/1*18\/(-27). What is the units digit of ((-10)\/(-1))\/((-5)\/b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 3*x + 3*d, 5*x + 4*d + 23 - 7 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 4:42 PM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - (-207 - -329)) + 49 + -1.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 24209 (b) 4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 j when two letters picked without replacement from jxxxxjeexjjxe?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*g + 4. Suppose -3*s = g*t - 36, -t + s + 9 = -3*s. Suppose -3*q - t = 0, -3*r = -3*q - 0*q - 99. List the prime factors of r.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.12255795 - -1.1223. Round n to 6 decimal places.\nAnswer: -0.000258","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 454*a - 10. Let u(j) = -452*j + 15. Give -3*f(c) - 2*u(c).\nAnswer: -458*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)*-2*1 + (sqrt(190) - (sqrt(190) - ((sqrt(190) - -2*sqrt(190)) + sqrt(190)) - sqrt(190)) - sqrt(190))*-3)\/((sqrt(200)*-6)\/(sqrt(500)*1)).\nAnswer: 35*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2112 and 7920704?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.33 (b) -2 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20844, 42248, 64188, 86664?\nAnswer: 109676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + l - 2*l)*(-5 + 4 - 5) - 4 + 4 + 2*l + (0 - 1 - 1)*(-2*l + 0 + 0) - 5*l - 22*l - 4*l.\nAnswer: -19*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -3079?\nAnswer: 3078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 2:51 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -2, 0, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 g when three letters picked without replacement from {g: 4, o: 9, r: 1}?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 2 (b) -0.09 (c) -1\/5 (d) -0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**4\/13 + 6*a**3\/13 - 22*a**2\/13 - 6*a\/13 + 20\/13 = 0. Calculate a.\nAnswer: -5, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 12355894 to the nearest one thousand.\nAnswer: 12356000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33697.\nAnswer: 31, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -21*w**3 + 16*w**2 + 78*w - 27. Let p(s) = 8*s**3 - 5*s**2 - 28*s + 9. Let u(c) = -3*k(c) - 8*p(c). Determine u(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -58*(-56)\/5684 - 108\/(-7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.01, 0.02, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of u**5\/12 - 17*u**4\/24 + 4*u**3\/3 + 23*u**2. Let m(i) = -2*i**2 + 6*i - 3. Determine 11*m(b) + 4*v(b).\nAnswer: -2*b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1410 divided by -235\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 120.9999949 - 121. What is p rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 94 + -93.9. Which is bigger: 72 or c?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2509027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 1484.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 322a8146?\nAnswer: 322a8142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11931, -24032, -36133, -48234?\nAnswer: -60335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.3, -4, -1, 0.013?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 23316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from met. What is prob of sequence tee?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - f - 61 = 0, -18*a + 160 = -13*a - 4*f. Solve 6 = -a*t - 78 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -99176.7625 to the nearest ten.\nAnswer: -99180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -5*o**3 - 18*o**2 - 17*o - 44. Let j(z) = -14*z**3 - 55*z**2 - 51*z - 133. Let c(a) = 6*j(a) - 17*x(a). What is the units digit of c(25)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15\/20*-20*-447?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -5*r**2 + 240315*r + 240320 = 0.\nAnswer: -1, 48064","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5\/1*(-9)\/(-3) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g + 3*g + g. Let u(j) = j. Determine -s(v) + 6*u(v).\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*k + 79 - 40 - 39 as v*k + d and give v.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 2 = s, -s - 23 = -3*h - 25 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 11 = -c. Let b = c - -20. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**2 - 10*o**3 + 8*o**3 - 4*o**2 - o**2.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 5*x**3 + 238640*x**2 - 1909405*x + 1670760 = 0?\nAnswer: -47736, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -3*l + 2781*f - 2779*f, -186*l + 367 = -f for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 5 - -15) + 23 - -13?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -605, -22, 1\/6, 2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, 0.4, -12\/5.\nAnswer: -12\/5, 0.4, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2340241.\nAnswer: 2340241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-12)*2\/21*-15?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6229 - 6200. Calculate the least common multiple of w and 146.\nAnswer: 4234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 6:33 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -218897*159.\nAnswer: -34804623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(14\/(-49)))\/((-2)\/(-100)). What is the greatest common divisor of u and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22424 is divided by 178?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2766 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -63ad (base 14) in base 5?\nAnswer: -1022310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -1257*j - 1252. Let m be i(-1). What is the third smallest value in m, 6\/13, -0.02, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 51 and 246364.\nAnswer: 739092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -8. Let t = x + 1. Which is greater: t or 0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -90, -620, -2068, -4896, -9566, -16540?\n\"Answer: -77*d**3 + 3*d**2 - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 + 1 - 1)*(4 - 1 - 4)*(-1 - 4 + 3) + 2 - 4 + 3)*(21*n**3 - 6*n**3 + 9*n**3) to the form s*n**3 + u*n + o + t*n**2 and give s.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 3*z**4 - 66*z**3 - 708*z**2 + 2466*z + 11745 = 0?\nAnswer: -9, -3, 5, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/135 and -53\/93.\nAnswer: 4185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -711.8 + 693. Let y = 8.86 + 0.14. Let g = u + y. Round g to 0 decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q + 10. Let t be v(7). Let x(n) be the second derivative of -2*n - 1\/6*n**t + 0 + 0*n**2. Let l(z) = 3*z**2. What is l(x(r))?\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0*s + 4*h = 3, -s - h = -7. Let o(y) = 4*y - 3. Let r(p) be the third derivative of p**4\/4 - 5*p**3\/6 - 5*p**2. Give s*r(i) - 8*o(i).\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -6. Suppose -m = -g*m - 899. Let n = m + -7183\/8. Calculate the common denominator of 43\/6 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 f when two letters picked without replacement from hllhhhhhhhfjfsfhlj.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 4*f**2 - 12*f + 1. Let h = 27 + -21. Let d be o(h). Let u(z) = 8*z + d - 16*z + 9*z + 7*z. What is u(3)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -82*v + 81*v + 650. List the prime factors of v.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence crkr when four letters picked without replacement from {k: 5, c: 8, r: 2}?\nAnswer: 2\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 277, 287, 309, 349, 413, 507, 637?\n\"Answer: y**3 + 3*y + 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2147814?\nAnswer: 2, 3, 17, 7019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -27 and -2.46498.\nAnswer: -29.46498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 + 5)*(12*s - 14 + 14)*(-13*s + 14*s - 7*s).\nAnswer: -576*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1182538221?\nAnswer: 3, 394179407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**2 + 9*r - 6. Let z(u) = -3*u**2 - 13*u + 9. Let t(g) = -7*d(g) - 5*z(g). Let n be t(1). Solve n*f + 12 = 4*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/139958 and 117\/5533724?\nAnswer: 71938412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 4\/(-14) + 47\/(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x*x*x**8\/x)*x**(-5)\/x)**(-46))**41)**39 assuming x is positive.\nAnswer: x**1029756","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -78, -124, -174?\nAnswer: -228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 76, -1, 3\/2 in increasing order.\nAnswer: -24, -1, 3\/2, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gt when two letters picked without replacement from {s: 1, o: 1, m: 2, t: 7, g: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3416200 by -152.\nAnswer: 22475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-24))\/1*(-172)\/129.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 956107 is divided by 820?\nAnswer: 807","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6041, -12081, -18121, -24161, -30201, -36241?\nAnswer: -42281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4*(405\/1404)\/(-15))\/3\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - (5 + 3)) + -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus -36601?\nAnswer: 36601.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13158, -12883, -12574, -12231, -11854, -11443, -10998?\nAnswer: -10519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 504.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21 or -65?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 94*s**2 - 198*s - 574. Let n be r(-96). Let y(u) = -17*u**2 + 6*u - 4. Calculate y(n).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*g = 401*g + 98*g + 163*g + 20300 for g.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.03 or -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 96 + k + 0*k - 96. Let x(u) be the first derivative of -6*u**2 - 1. Calculate -x(b) - 9*y(b).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8178*g + 8164*g + 70 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 14, 59, 134, 239, 374, 539, 734?\n\"Answer: 15*c**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {q: 11, l: 1, b: 3, a: 5}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 155 and 217?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 39 + (-67 - -62).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (5246\/23220 - (-8)\/108)*2\/(-3) and (9\/2)\/((-12)\/9).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 791731 and 379?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 393?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 469 in -8, 3, 16.7, 15?\nAnswer: 16.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7954 is divided by 419?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2*sqrt(396))\/(-1*sqrt(144) - sqrt(144)))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 474 and 40448?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*t + 35 - 4 = 0, 4*t - 50 = -2*d. Let b be 3*-3 + 0 + 0. Let l = b + d. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167532 is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (376\/752)\/(21\/(-10) + -1 - -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (32\/(-96))\/(2\/(-9258))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1020718824 to the nearest integer?\nAnswer: 1007","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*-1*((-2)\/(-11) - (-12 + (-5874)\/(-363)))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 235071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2055998596406 and 5.\nAnswer: 4.7944001403594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -q**4\/6 - 13*q**3\/6 + 2*q**2 + 5*q. Let t(h) be the first derivative of o(h). Is t(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qrqtqacqqgtqggc. Give prob of picking 1 a and 2 q.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 3. Let t = d - -3. Let r = -4 + 1. Which is the closest to 1? (a) -2\/5 (b) t (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-15)\/6)\/((-1)\/2). Suppose 3*l + 4 = 4*y + 5, n*l = -5*y + 60. What is the highest common factor of l and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 824 + -816. What is the nearest to -2.5 in -0.2, -1, 0, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 3*b - 4*b - 1004 + 267 = -141*r + 6*b, -b + 5*b = -32 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (45\/2)\/((-78)\/104). Is h greater than -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*y = 4*y - 72 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = j - 333. Let i be j\/4 - (-7)\/28. Calculate the greatest common factor of 7 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 103 + -135. Let h be 4\/(s\/364)*-2. Suppose -3*p + 45 = -5*f, 5*p - 4*f - h = -f. Calculate the greatest common divisor of p and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4324 - -1202321?\nAnswer: 1142442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.114572975 to one decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-208)\/(-6) - 6\/(-18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1*(-80394)\/21)\/(41 - (-6900)\/(-168)). Round m to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-19)\/342)\/((-79)\/(-12) + -7)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 118461059?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(24)\/sqrt(300) + (sqrt(72)*-1 - sqrt(2)))**2 + 5 + (2*sqrt(72) + 4 + sqrt(72))**2 + -3.\nAnswer: 144*sqrt(2) + 25898\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 50*g - 1 + 1 in the form o + y*g and give y.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r + 3. Let n be m(4). Does 4 divide (8 + -5 + n)\/(2\/19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h + 44 = -21. Let s(o) = o**3 + 7*o**2 - o - 7. Let d be s(-7). Let m = d + h. Let r(i) = i**3 - 4*i**2 - 5*i - 5. What is r(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1890, 1821, 1756, 1695, 1638, 1585, 1536?\nAnswer: 1491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4 = 0, 4*q + 1 = -2*m - 3. Suppose m*r + 288 = 3*r. Suppose -r - 31 = -w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o - 26. Determine l(-9).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 26002 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(2*2*sqrt(2))*6)**2.\nAnswer: 99\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1*-211\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8903*z - 79082 = -1117*z - 155*z + 27752 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 299, 537, 777, 1019?\nAnswer: 1263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 149038940 to the power of 1\/2, to the nearest integer?\nAnswer: 12208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.161 * 26.892\nAnswer: 4.329612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54700752 by -3694.\nAnswer: -14808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 9 = 8*r - 5*r, -3*w + 1 = -r. Solve 0 = -3*h - h - r for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -70 or -488\/7?\nAnswer: -488\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)\/sqrt(2) + sqrt(24))*-5)\/sqrt(8) - ((sqrt(27) - (sqrt(27) + 1*sqrt(27)))\/sqrt(9) - sqrt(9)\/sqrt(3)*-4)**2.\nAnswer: -27 - 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 147 - -288?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13 + 1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 304751501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -12\/29, -1, 103 in decreasing order.\nAnswer: 103, 3\/7, -12\/29, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17210989637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 37503779 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -243410*i**3 + i - 584750 wrt i.\nAnswer: -1460460*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5831, -11659, -17485, -23309, -29131, -34951?\n\"Answer: m**2 - 5831*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppvppvvvvvvvvvvhv. Give prob of picking 1 v and 1 p.\nAnswer: 20\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 101393 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 5*m**2 - 6*m + 6. Let b be z(6). Suppose -5*a + 2*n - 10 = 0, b*a - 5 = 2*a - n. Solve -3*h - h = a for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -5, 1, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -48 or 0.63?\nAnswer: 0.63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 7) in base 6?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 20 = -17*i. Which is the closest to i? (a) 0.4 (b) -3\/8 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -125, -276, -445, -638, -861?\nAnswer: -1120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 5*n**2 - 8*n - 2. Let o(u) = -9*u**2 + 16*u + 3. Let q(v) = -7*a(v) - 4*o(v). Let j(d) = -d**2 + 8*d - 2. Let p(f) = 4*j(f) + 5*q(f). What is p(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4612*u - 20572*u + 1053360 for u.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -108874 divided by -2\nAnswer: 54437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3218 - 3206. What is the second smallest value in g, 5\/3, -0.1?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1458 and 403866?\nAnswer: 1458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**3 + 4*d + 4*d**2 - 4*d + 2*d to the form f*d + p*d**2 + s*d**3 + q and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -396*k + 285. Let c(f) = 79*f - 57. Let a(d) = 21*c(d) + 4*q(d). Does 14 divide a(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of 3*n**5\/10 - n**4\/24 + n**3\/3 + 2*n**2. Let v be c(2). Suppose -2*y - y + v = 0. Is y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 46*q**2 + q**3 + q**3 - 46*q**2 + 6 in the form u*q**3 + y*q**2 + x*q + w and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27 - (13 + -55)) + -35 + (-7 - -26)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (31\/93)\/((0 + 1)\/3). Put g, -14, -4 in decreasing order.\nAnswer: g, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2289\/654)\/((-4)\/320*-28).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 571182 and 3726?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-1)*w)\/(w*w*w\/w**(-1\/3)*w*w))\/(w**(-1\/8)\/(w\/(w**(3\/8)\/w))))\/((w*w**1)**(-6))**(-22\/7) assuming w is positive.\nAnswer: w**(-3469\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (8 - (-12)\/(-6)) + 83\/(-7) and -9\/196.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.03 + -1.97. Which is the nearest to -1? (a) h (b) -6 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -19474 and -19474 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 3. Solve l*n + n = -4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 185 - 1105\/6. Which is the nearest to -2\/3? (a) -0.5 (b) 0.5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -291 divided by 3.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(5\/4)\/(n**(-12)\/n))\/(n**(-2))**(-35) assuming n is positive.\nAnswer: n**(-223\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-128) - (-42)\/(-80).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1172)\/(-2)*5\/((-80)\/(-8)) is divided by 26?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122021122200221 (base 3) to base 10.\nAnswer: 9185182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -829421 - -1435521. What is d rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hr when two letters picked without replacement from hhrhhrhhhhhrhr?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6523 - 62533?\nAnswer: -53010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -34*h**2 + 34*h + 408. Let y(o) = 10*o**2 - 11*o - 136. Calculate 3*r(g) + 10*y(g).\nAnswer: -2*g**2 - 8*g - 136","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*1\/((-28)\/21).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -2, 1, 3, 13, -11314 in descending order.\nAnswer: 13, 3, 1, -2, -14, -11314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -15*h**2 - 60*h + 11. Let i(z) = -7*z**2 - 27*z + 5. Let s(r) = 9*i(r) - 4*k(r). Let y(t) = -3*t**2 - 4*t + 2. Give -6*s(o) + 5*y(o).\nAnswer: 3*o**2 - 2*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2671911214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.24, -2, 0.4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-7) - 5394\/(-21). Suppose 323 + w = 4*h. Let x = -119 + h. What is the highest common factor of x and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.221409l to millilitres.\nAnswer: 4221.409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*k + 38*k + 5*g + 6782, -11365 = -5*k - 4*g. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 3321 = -5*i. What is the common denominator of -36\/5 and i\/(-240) - 1\/5?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/4*16\/(-6). What is the highest common divisor of c and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6880190*a**2 + 11265*a - 201.\nAnswer: -13760380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y - 5. Let w(s) = -s**2 + s + 1. Let h(t) = -6*t**2 + 14*t + 31. Let p(k) = -h(k) + 5*w(k). Let g be p(11). Give r(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931) + (sqrt(931) - (sqrt(931) + sqrt(931) + -3 + sqrt(931))) + sqrt(931) - sqrt(931)) + sqrt(931) + sqrt(931) + 1)**2.\nAnswer: 56*sqrt(19) + 947","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*i - 15 = 78*i. Suppose -4*g + 12 = 4*d, 7*g - 12 = d + i*g. Let y be 26\/7 + 8\/28. Solve -h = -y*f - d + 5, h + 5 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-3) + (-2)\/(-6). Suppose -2 = -5*u + 13. Let r be u\/(9\/3) - 2. Is f greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194 is divided by 27.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.5 (b) -5 (c) 17 (d) -7\/4 (e) 0.3 (f) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 14) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - 9*d + 1. Calculate the remainder when 43 is divided by o(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -827, -1706, -2585, -3464, -4343?\nAnswer: -5222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1111, -1\/3, 9, -0.4, 3, -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1)\/(v\/((((v*v\/(v**10\/v)*v*v)\/v)\/v)\/v))*((v\/v**(1\/2))\/v)**(5\/17) assuming v is positive.\nAnswer: v**(-345\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 4*w**2 - 2*w - 2. Let u be d(2). Suppose -12 = -3*g, n - 1 - u = -g. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 + 337*d**2 + 1360*d + 1364.\nAnswer: -(d - 341)*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*d - 28303 = -29759 for d.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -b**6\/900 + 2*b**5\/225 + b**4\/36 + 8*b**2 + 12. Factor w(p).\nAnswer: -2*p*(p - 5)*(p + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116229 - 56229 = -600*o for o.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 (base 16) in base 12?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -433 (base 5) to base 16.\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -93 - -281\/3. Let h(l) be the first derivative of 0*l**5 - 2 + 0*l**2 + 1\/3*l**6 - v*l**3 + 0*l**4 + 0*l. What is the third derivative of h(t) wrt t?\nAnswer: 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and 12 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -234 + 267. Differentiate -q + 93 - 91*n**3 - 42 wrt n.\nAnswer: -273*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45984 and 384?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -2*r + 5 - 2, 0 = -5*r - 3*m + 9. Suppose r*n - 313 = -2*n + 3*q, -3*q = -3*n + 474. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((3 + -3)\/3)\/2. Suppose r = t + 5*t. Solve t = 3*u - 4*w - 18, 0*u + 5*w = -u - 13 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 81 and 18822?\nAnswer: 508194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 93487541 to the power of 1\/2, to the nearest integer?\nAnswer: 9669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -4*q**7\/105 - q**4\/24 + 9*q**2. What is the second derivative of v(m) wrt m?\nAnswer: -96*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76493?\nAnswer: 76493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q = -41*q + 12325. Is q a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of 12*t**3 - 39 + 8*t + 4\/5*t**5 - 5*t**4 - 14*t**2. Let j(a) = 0. What is a?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2. Let o(j) = j**2 - j - 1. Let k(i) = 19*i**2 - 6*i - 6. Let p(u) = -k(u) + 6*o(u). What is p(c(w))?\nAnswer: -52*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -22*y**2 - 13*y + 25. Let f(j) = -8*j**2 - 4*j + 9. Let u(c) = -7*f(c) + 2*x(c). List the prime factors of u(6).\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -123*z**3 + 1 + 4 + 136*z**3 + 1 wrt z.\nAnswer: 39*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 226?\nAnswer: -5\/226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11563178.\nAnswer: 2, 11, 525599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/22 and -85\/16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-8)\/6 + 84\/(-90) and 49\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 9 = 2*f. Let m(y) = -y + 8. Let o be m(4). What is the third derivative of 3*b - b**o - f*b - 2*b**2 wrt b?\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120\/16*(-40)\/(-16)*24\/30\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18*(-25)\/(-1125) - 1. What is the biggest value in -0.2, -414, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-192)\/512 + (-23691)\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2 + 14*s**2 + 75*s - 1 + 0 - 76*s in the form k*s**2 + t*s + m and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 l, and 1 d when three letters picked without replacement from dyldjj.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-2 + (5 - 6))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 7, 5, 43, 0, 1 in descending order.\nAnswer: 43, 7, 5, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**4\/8 - 149*k**3\/8 - 607*k**2\/8 - 763*k\/8 - 153\/4 = 0.\nAnswer: -2, -1, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -281*h**8\/112 + 529*h**4\/12 - h**2 + 206. What is the second derivative of x(v) wrt v?\nAnswer: -16860*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 76*x**2 + 4*x - 2. Let p be w(1). Calculate the remainder when 66 is divided by 646\/26 - (-12)\/p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + (-7)\/(-3))*3\/(-28)*-147?\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -403252 (base 6) in base 2?\nAnswer: -111110001110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 11\/6, 3.3, 1\/2, 13 in decreasing order.\nAnswer: 13, 3.3, 11\/6, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7677328628 to the power of 1\/2, to the nearest integer?\nAnswer: 87620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 - 3.8. Suppose -13*h + 12*h - 2 = 0. Let a = 1828\/5 + -366. What is the second smallest value in h, a, b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -12 - ((4 - 8) + -7) - -48.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14196 divided by -338.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2433248 and -0.5.\nAnswer: 0.1216624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5992)\/462 - (1488\/(-264) - -6).\nAnswer: -40\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 5*p - 809, -3*o + 0 + 6 = 0. What is the greatest common factor of 23 and p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 393 times -19507\nAnswer: -7666251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u + 3*u**2 + 5 - 2 + 0 + 1. Let z(d) = -10*d**2 + 7*d - 8. Let o(a) = -1. Let y(q) = -5*o(q) - z(q). Give -7*g(v) + 2*y(v).\nAnswer: -v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 259, 392, 393, 262?\n\"Answer: -66*k**2 + 331*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2. Let x(a) be the third derivative of -2*a - 1\/30*a**5 - 5*a**3 + 0*a**4 - a**2 + 0. What is x(y(b))?\nAnswer: -2*b**4 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, i: 2, j: 6, u: 8}. Give prob of picking 2 u.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 g when two letters picked without replacement from {d: 6, t: 9, g: 2}?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35172 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-8)*18\/(-9))\/((-131)\/4192).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -10521.3807 to the nearest 10.\nAnswer: -10520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16940 is divided by 5323.\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111 - 1010011100101?\nAnswer: -1010010111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 801.0759 days?\nAnswer: 1153549.296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 12) in base 9?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2. Let d(r) = 0*r**2 + 18*r**2 + 6*r**2. Determine w(d(y)).\nAnswer: 576*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -3. Let z = 3 + i. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 12 - 3 = 0. Let l = -6 - v. Solve 4*i = 2*n + 18, 6*i + l = 2*i - 5*n for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 5\/3 (b) 13 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8958 = -165*z + 24*z + 4869 for z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -62 - -74. Suppose 0 = l*o - 15*o - 3. Let m be ((-4)\/(-10))\/(46\/(-10)). Which is greater: m or o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 72300 and 0.2.\nAnswer: 14460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 74\/5 + (-10)\/(-50). Let i(u) = u**3 - 14*u**2 - 16*u + 40. Let d be i(w). What is the smallest value in d, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -184, -1\/4, 114, -3, 1\/2?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-3) + 14\/(-78). Let t = -57.4 + 57. Which is the closest to 0.1? (a) 5 (b) z (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(7) + -1 + 3 - (-1 + sqrt(7))*-2).\nAnswer: -2 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15841987, 15841957, 15841915, 15841867, 15841819, 15841777, 15841747?\nAnswer: 15841735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 1975*y**2 + 73*y - 2. Let q(p) = -2*p**2. What is j(q(b))?\nAnswer: 7900*b**4 - 146*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12701594?\nAnswer: 2, 29, 218993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2107360\/47 equal to -44836?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4767515 rounded to 3 dps?\nAnswer: -0.477","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 15, 34, 57, 84?\n\"Answer: 2*a**2 + 13*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/18 + 76\/(-24) + 2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -201 - -206. What is the remainder when 58 is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + g = -41199, -3*d - 2*g - 30895 = 3*g. Round d to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 569558935 = -527*z + 792*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -6\/11, -2\/21, 358, 50, 4?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 17*q + 3 - 11 - 19*q. Let c be w(-6). What is the second derivative of -p**c - 3*p**4 + p**4 - p + 0*p wrt p?\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40536 and 360.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**2 + 23*x + 1. Let j(v) = v**2 - 12*v - 1. Let a(t) = -11*j(t) - 6*p(t). Let w be a(3). Put w, 6, 4 in descending order.\nAnswer: 6, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*v = -36*v + 4. Solve v - 6 = -5*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 99, 0.17, 2\/17 in decreasing order.\nAnswer: 99, 0.17, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -1\/3 (c) -2\/5 (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -593405\/36 - -16487. Let w = n - 15\/4. Are w and -6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = 2*f - 3*p, -4*f + 4*p + 234 = 5*p. What is the remainder when f is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9556 and 2696.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1066 + 422. Let f = b + 646. Solve 5*c - 3 = -2*d, -2*c + d + f = -1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 590381330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 10130?\nAnswer: -10131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-10) - 2424\/(-28785).\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 11*o - 3. Let g be p(10). Sort -1, -5, g.\nAnswer: -5, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 187674 - 3?\nAnswer: 187671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hxccuchohcvo. What is prob of sequence cc?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - ((-2 - -1) + 4). Sort i, -6, 3 in ascending order.\nAnswer: -6, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2644?\nAnswer: 2, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y**2 + y - 2. Let h be i(-2). What is the highest common factor of 20 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1092 divided by -273\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*l**2 + 4*l**2 + 968*l - 970*l.\nAnswer: -4*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 4*k**2 - 3*k + 1. Let a(o) = -o + 4. Let q be a(0). Let v be c(q). Which is smaller: v or -7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24056*t**3 - 9445*t**3 - 91233*t**3.\nAnswer: -76622*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 48*o + 730. Let s be c(-15). What is the greatest common factor of s and 8110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + 5*f + 3. Let q be p(-5). Let j = 172 + -180. Sort 1, j, q.\nAnswer: j, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -218 + 77 + 80 - 3*h**2 + 3*h**3 + 3*h**2 + 58.\nAnswer: 3*h**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -13\/6*m**3 - 1\/14*m**7 + 5 + 0*m**4 + 0*m**6 - 2*m**2 + 0*m - 1\/30*m**5. Find the third derivative of d(i) wrt i.\nAnswer: -360*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 100*r**2. Let b(j) = -3*j**2 - 2*j - 6. Let d(c) = -30*c**2 - 21*c - 63. Let o(n) = -21*b(n) + 2*d(n). What is h(o(w))?\nAnswer: 900*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h + 7*h - 4*h - 4. What is d(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 5:27 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/9*p**2 - 4\/9 + 10\/9*p - 10\/9*p**3.\nAnswer: -2*(p - 1)*(p + 1)*(5*p - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15583 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 7, 5, -1161, 2\/15, 4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4*(1\/(-2)*1)\/1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*m**2 - 46*m**2 + 100*m**2 as c*m + o + l*m**2 and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w**2 - 3*w + 38. Calculate h(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/196186 and -15\/1684.\nAnswer: 392372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**3 + 3*k**3 - 3*k**3)*(0*k**2 + 3*k**2 - k**2) + 11*k**4 + 12*k**5 - 11*k**4 + 4*k**5 + 0*k**5 - 3*k**5.\nAnswer: 9*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4800\/(-6400)*(-26)\/9*-2.\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**2 + 7038264*o + 49267946 = 0. What is o?\nAnswer: -7, 3519139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19435*m**2 + 6506*m**2 + 6467*m**2 + 6522*m**2.\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of s**5\/20 - s**4\/12 + s**3\/3 + 1. Let p(x) be the third derivative of z(x). What is the first derivative of p(h) wrt h?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5729.165mg?\nAnswer: 5729165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 22 = 3*m - 11, 0 = 3*m + o - 45. Let v = 719 - m. Is v a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - 2*t - 8, 6*b - 5*b + 5*t = 14 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60061986 to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-53 - 2 + 14)*(-29 + 14 + 19)*(y + 3*y - 3*y) to the form d + t*y and give t.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/35 - (6069\/105 + 7).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15468, 62226, 140276, 249618, 390252, 562178?\nAnswer: 765396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fifty-five quarters of a kilometer?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+-1564986\nAnswer: -1564986.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 3, 4, -117, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r - 11*r = -8. Which is greater: r or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*v + 3*s - 3, 4*s = 5*v - 11. Factor i**3 - 4*i**4 - 14*i - 21*i**v - 32*i**2 - 2*i.\nAnswer: -4*i*(i + 1)*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 305721644.\nAnswer: 2, 76430411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.027 in 1\/8, 0.4, -20920, -4, -6, 5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 394.39 - 3557?\nAnswer: -3162.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.01339628 times 1\nAnswer: -0.01339628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9164, -0.4, 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 3:10 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/40 - (-3)\/(-24). Let s = 34 - 30. Solve s*l - 30 + 10 = 0, -i - 4*l + 22 = v for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p + 9. Let x be r(5). Let z(j) = 2*j**2 - 26*j + 3. Let q be z(x). Is 31 less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 9*f**2 - 1. Suppose -4*p + 5 = -q, 0 = q - 3*q + 6. Let g be w(p). Suppose -2*n + 3*n + 4*v - g = 0, -3*v = -9. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -711 by 25.\nAnswer: -711\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4512*l**5 - 541*l**4 - 6*l**3 + 544383886*l**2.\nAnswer: -270720*l**2 - 12984*l - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2006 or -2103?\nAnswer: -2103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 204?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30688 and 406.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 57070808?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4098 + -842. What is n rounded to the nearest one hundred?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 12*o - 11. Let p be r(-13). Suppose -4 = -3*a + 4*l, -a = p*l - 13 - 5. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*d**3 + 15*d**3 + 13*d**3 + 2*d as j*d**3 + u + h*d**2 + c*d and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3808265 is divided by 884?\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/3 - 4\/(-6). Let n = 199 + -194. Suppose 0 = 4*g - o - 85, 2*g + 4*o - n - 15 = 0. Solve m*l + g = -5*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -74360 divided by 676\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19.4 - -24. Let c = p + -4.39. Let s = c + -0.048. Round s to 2 dps.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*p - 3*b = 105, 4 = -5*p + 2*b - 11 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -774 = -4*y - 5*y. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9456, 9622, 9788, 9954, 10120, 10286?\n\"Answer: 166*p + 9290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2*sqrt(1539)*-3)**2*4.\nAnswer: 864*sqrt(19) + 221632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 1345 = 5*m, -1121 + 1674 = 2*o + 3*m. What is the remainder when o is divided by 99?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1\/3 (b) -0.27 (c) 3 (d) 1\/26211 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*u - 2*u**2 - 34*u + 3*u**2)*(-2*u - 2*u + 5*u + 4).\nAnswer: u**3 - 2*u**2 - 24*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 2:47 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/2826 and -25\/14902.\nAnswer: 21056526","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 67 + -45. Let p = -20.9 + k. Let x = p - 0.6. Sort x, 2, 5 in decreasing order.\nAnswer: 5, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9478)\/4*88\/(-154). What is l rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 3:32 AM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12153 and 0.1258.\nAnswer: 1528.8474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -733 + 732.9847. Let u = -1.9847 + x. What is the nearest to -5 in -1\/8, 0.5, -5, u?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -5a178?\nAnswer: -5a173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 20*q - 3. Let h be b(2). Let m = -15 + h. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46\/5 of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 18 times -327300\nAnswer: -5891400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/2*4\/(36\/(-1))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = k, -35*i = -36*i + 4*k - 12. Let y(u) be the second derivative of 5\/12*u**i + 0 - 5\/2*u**3 + 5*u**2 - 14*u. Factor y(x).\nAnswer: 5*(x - 2)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8578202 divided by 4289101?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u + 5. Let h be t(5). Let y(c) = 2*c - 4. Let x be y(3). Suppose -x*i = -a, 2*i + 4*a = 4*i - 6. Which is smaller: h or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-44)\/8140*70\/12. Which is greater: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2121101 (base 4) to base 15\nAnswer: -2d8e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-24))\/(26\/(-12))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 4 - 4)*(-b**3 - 1 + 1) + 11*b**2 + 3*b**4 - 11*b**2 + 1.\nAnswer: 5*b**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 19 = o, 64 + 6 = 4*o + 5*t. Suppose 5*p - 6*i + 3*i = o, 4*p = -i - 5. Solve -2*g + 5*d - 8 = p, 4*g + 3 = g + 3*d for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 808 - 812. What is the third smallest value in y, 1, -1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -0.5 (c) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a millennium in years?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 55*q - 10474 = -13738 for q.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2348 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 11*b + 28586, 4*z = -34*b + 29*b + 38095. What is the highest common divisor of z and 127?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*q - 1154 = -45*q + 27*q. What is the least common multiple of 4 and q?\nAnswer: 2308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34763*z**2 + 34491*z**2 - 68772*z**2.\nAnswer: 482*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2 + 3 - a - 4 + 55*a**2. What is the units digit of u(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -5*c**2 + 12*c + 19. Let i(k) = 2*k**2 - 6*k - 9. Let s = 39 + -32. Let y(v) = s*i(v) + 3*z(v). Calculate y(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 21238 and -1\/38 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -1045808.71 to the nearest one hundred.\nAnswer: -1045800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**2. Let a(k) = 310689 + 3*k - 310689 - 3*k + 8*k**2. Calculate p(a(n)).\nAnswer: 128*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37776, 76858, 115940, 155022?\nAnswer: 194104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzttzztttzz. Give prob of picking 3 t and 1 z.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - l - s + 7 = 0, 0 = l + 4*s - 19. Find the third derivative of 8*j**3 + 4*j**2 - 7*j**3 + 0*j**l wrt j.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45*s**2 - 691385*s - 6295550.\nAnswer: -5*(s + 15355)*(9*s + 82)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/11, -100, -2?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-14)*(-202)\/505)\/(4\/(-70))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 5:27 AM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -4. What are the prime factors of (-4 - 3)*20\/f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 140 - 459. Let h = 320.59 + j. Round h to one decimal place.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y**5 - 1155*y**4 - 13175*y**3 - 32545*y**2 - 30210*y - 9680 = 0.\nAnswer: -8, -1, 242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269103.\nAnswer: 3, 271, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 8 - (-1 + 2) - -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 43*n + 107 = -634, -4*n = -2*l + 78 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 110*y - 996. Give x(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 190*h - 741. Calculate l(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 + 77. Suppose -101*x + q*x + 6635 = 0. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**4\/7 + 8*c**3 + 334*c**2\/7 + 40*c = 0. What is c?\nAnswer: -20, -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 750 a factor of 702750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23870?\nAnswer: 2, 5, 7, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 99 = -24*h + 19*h, 1 = -h. Suppose -45*w + 19*w = -j. Suppose q + 8 = 2*a - 3*q, -4*q = a + 2. Solve 0 = -l + 2 - 1, w*l = a*r + 10 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 235248 and 5868018?\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 12, g - 5*u - 1 = -12. Let l(i) = -2*i - 13. Let a(q) = -4*q - 27. Let d(h) = g*l(h) - 4*a(h). Is 3 a factor of d(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 19aa17a + 1?\nAnswer: 19aa17b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -669 + 674. Solve w*d + 13 - 8 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of -59*l**4\/8 + 13*l**3 - l**2 + 15*l. Differentiate s(p) with respect to p.\nAnswer: -177","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -255712054 - -255712052.87999869. Let y = 1.12 + j. What is y rounded to 7 dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19353 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21283 is divided by 387.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, k: 3, m: 1}. Give prob of sequence rkk.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*g**2*t**2 - 210*g**2*t + 2*g*t**2 + 66*g*t wrt g.\nAnswer: -6*t**2 - 420*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/6 - ((-115)\/10 - -2). Suppose 20*t = l*t + 154. Let z be 1 + (-2)\/(-2) + 1. Solve 4*i = -o + 2*o + t, 1 = z*i + 4*o for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -84, -5, -2505, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 10:48 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -p**3*x*y - 11120*p**3*x - 262*p**3 + 5629649*p*x*y wrt y?\nAnswer: -p**3*x + 5629649*p*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*(7\/28)\/(1\/(-2)). Suppose 4*y + 17 - 33 = j. Differentiate 0 + 2*z**4 - 3*z**y + 11 with respect to z.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 15840, 63502, 142958, 254214, 397276, 572150, 778842?\n\"Answer: x**3 + 15891*x**2 - 18*x - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24183001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 1787 - 1787 - 27*p**2 as m*p + r + a*p**2 and give a.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 5. Suppose h*u + 100 = 2*u. Let j be 184\/10 + (-12)\/u. What is the highest common divisor of 76 and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*n**2 + 240618623*n + 146681951?\nAnswer: 4*n + 240618623","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.3 - 4.6. Which is the closest to -1\/4? (a) -1\/3 (b) 2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 4*v**2 - 76168*v + 21826164 = 0.\nAnswer: 291, 18751","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2335 a factor of 24300345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -50, -57, -56, -41, -6, 55, 148?\n\"Answer: m**3 - 2*m**2 - 8*m - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a century in years?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3\/5 + 664*l**2 - 164876*l\/5.\nAnswer: 4*l*(l - 47)*(l + 877)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n - 16. Let i be b(6). Solve -i*a + 10 = -7*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 639a + -52?\nAnswer: 6348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1896 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 + 1092. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**12\/(x\/(x\/(x**(-12)*x)))*(x*x\/x**8)\/x*x*x**(9\/4)*x*x assuming x is positive.\nAnswer: x**(85\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.6 + 1.4. Which is the closest to 2\/7? (a) t (b) -2\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 559792243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qmppqoqpqqmqqmqqqpq.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -300033144 + 3?\nAnswer: -300033141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ehhu when four letters picked without replacement from {u: 1, j: 2, d: 3, r: 3, e: 2, h: 7}?\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.061, 3.1, 2?\nAnswer: 0.061","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14703350 and 650.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 20 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.014549 + 116.116549. Let i = -0.151 - 115.849. Let q = i + u. What is q rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-5) - 3\/15. Let m = -3912\/5 - -782. What is the closest to b in -3, -0.1, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -9, -4, 0, 15 in decreasing order.\nAnswer: 15, 0, -4, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 1. Let y(b) = -1. Let i(h) = -2*h + 18. Let z(x) = i(x) + 12*y(x). Determine 5*a(v) - z(v).\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is cc704 - -b7?\nAnswer: cc7bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39 - 4) + -11 + 88?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 835013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 883, 3, -5 in descending order.\nAnswer: 883, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 307 + -612. What is o rounded to the nearest 10?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -6\/7, -8, -4?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*m + 10*m**2 + 49*m + 67*m + 14 - 157*m - 1 to s + o*m + v*m**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13323\/8 - -1665. Which is the nearest to -0.1? (a) -4 (b) v (c) 0.1 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -202687234, -405374472, -608061710, -810748948?\n\"Answer: -202687238*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of 3*w**2\/2 - 7*w + 15079. Let z = 8 + -8. Give k(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(133)*2)\/sqrt(7))**2.\nAnswer: 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - j - 28, 2*h - 7*h + 4*j + 56 = 0. Let u be ((-14)\/(-9) - 1)*(-504)\/(-420). Which is the second biggest value? (a) -5 (b) u (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11371 to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*b**3 + 133*b - 133*b - 14*b**3.\nAnswer: 68*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c**2 + 8*c + 24. Let g(n) = n**2 - 3*n - 8. Let d(z) = -8*g(z) - 3*r(z). What is the derivative of d(u) wrt u?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 20 = v - 2*s, -4*v + 2*s + 10 = 0. Suppose 10 = -2*c, -9*c + 8*c - 5 = v*x. Solve 4*g + 2*g + 30 = x for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443.597698 rounded to 2 decimal places?\nAnswer: 443.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 x when four letters picked without replacement from xxxxxxccxxxxcx?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24288168 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -3, 2*m = -5*l - 5 - 10. Calculate the remainder when 53 is divided by (-1)\/(3\/(-2) - -2) - m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20021 or 20024?\nAnswer: 20021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (21\/(-28))\/(6\/(-32)). Let k(w) = 11 + 18 - 25 - w**2 - v*w. What is k(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45582583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -17\/25*d**5 + 14\/15*d**7 - 73\/15*d**4 + 0 + 154\/75*d**6 - 64\/15*d**3 + 15*d - 8\/5*d**2. Suppose h(i) = 0. What is i?\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + u**2 - u)*(10*u - u + 2*u) - u**3 + u**3 - 2*u**3.\nAnswer: 9*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -131 + -1562542?\nAnswer: -1563003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 + 3*g**2 + 2*g**2)*(3642289*g - 7283888*g + 3642369*g + 1).\nAnswer: 1540*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 - 37 + 66*s**2 + 1681*s**2 + 73.\nAnswer: 1747*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aavllhlhahaahva. Give prob of sequence lh.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96409?\nAnswer: 229, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1472320 to the nearest ten thousand.\nAnswer: 1470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2541\/385*(-36 + 33).\nAnswer: -99\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -11339, -22611, -33883, -45155, -56427?\n\"Answer: -11272*s - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 0 + sqrt(304) + 2 - (sqrt(95)\/(3*sqrt(5)) + (sqrt(19) - sqrt(114)\/(sqrt(30)\/sqrt(5))))) + 3 + 1)**2.\nAnswer: 220*sqrt(19)\/3 + 3199\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 10*l**2 - 10*l + 10. Let d be s(7). Suppose -5*u + 4*y + d = 0, 3 = -4*u + 5*y + 78. Solve 0*c + u = -c + 3*o, -3*o = 2*c - 15 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (886*y**3 - 85*y**4 - 886*y**3)*((-2 + 7 - 1)*(-3 + 4 + 1) - 2 + 3 + 1 + (0 + 1 - 2)*(-1 - 6 + 4)).\nAnswer: -1105*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 0.3106.\nAnswer: 0.12424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -4*b**2 + 2*b**3 + 8 - 3*b**3 + 11*b**2. Let k be p(7). Suppose k*d = 3*d. Solve -3*z - 3 = -5*g, d = -3*z - g - 11 + 26 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/(-99))\/(-1*(-4)\/(-2)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 18 = -5*s + 22, -5*c = -4*s + 35. Suppose 0 = -2*l - 0*k - s*k - 19, -2*l + 3*k = -21. Suppose 2 = 4*h - l*h. Solve -h*r - 2 = -r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144610 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 d = -4\/2917 + -19939\/350040. Calculate the common denominator of -17\/912 and d.\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 3*m**2 + 2*m - 4. Let v be n(-4). Suppose -5*p - v*q = 290, -2*p - 104 = 3*q + 19. Does 17 divide (-3)\/2*2 - p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -2*b + 154, 4*b - 80 = -m - m. What is the remainder when m is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - 5*n + 3. Let r be u(-5). What is the derivative of -2 + h**r + 0 - 6 wrt h?\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 - 60272*z**2 + 120532*z - 60264.\nAnswer: 4*(z - 15066)*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3952987867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23350892 by -1396.\nAnswer: -16727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007541269 rounded to five decimal places?\nAnswer: -0.00075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - 0) + 11 - -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2. Let b = -84 + 76. Let m(l) = 12*l**2 - 5*l - 34. Let i be m(b). Let w(s) = 27*s - i + 774. What is y(w(z))?\nAnswer: 1458*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 - 38. Suppose 0 = -2*k + k + 3, z*i - 5*k = -3. Does 6 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1624450948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3900 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**4 + 0*n**4 - 3*n**4)*(-n - n + 0*n) - 3*n**3 + 3*n**3 + n**5 - 5*n**3 + 0*n**3 + n**3 - 2*n**5 + 83*n**4 - 29*n**5 - 83*n**4.\nAnswer: -26*n**5 - 4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2069?\nAnswer: 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 203029313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7965 is divided by 108?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cclvwpclvllllwllplcc. What is prob of picking 1 p and 1 c?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2339 is divided by (6 + -15 - -8)*-65.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of n**6\/40 - n**5\/30 - 5*n**4\/8 - 7*n**3\/3 - 9*n. Let i(z) be the second derivative of r(z). Is i(14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14247.3 + -1234628.1.\nAnswer: -1220380.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -286.1 times 0.6279?\nAnswer: -179.64219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3207349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -842 (base 16) to base 14\nAnswer: -ab0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 2 = h. Let p = -5 - h. What is the closest to 1\/5 in p, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -560, -2139, -4738, -8357?\n\"Answer: -510*d**2 - 49*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.07 - 2.93. Suppose 18*g - 15*g = 33. Suppose -4 - g = 3*x. Which is the closest to 0? (a) i (b) x (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 9:09 PM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 4*o + 6*o + 0)*(6*o - 2*o - 2*o)*(7*o + 1 + 7 - 5) as x*o + f*o**3 + l*o**2 + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bmhzmh. Give prob of picking 1 z and 2 h.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (4 - 10) + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 17*k**3 + 6*k**2 + 3*k - 6. Let u = -6 - -11. Suppose 18 + 5 = 3*m + u*f, 3*f - 3 = 0. Let o be r(m). What is o rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/((-405)\/(-9)))\/((-5)\/(-18)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 v when four letters picked without replacement from {f: 3, v: 15}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pthh when four letters picked without replacement from {h: 2, v: 2, p: 2, t: 1, u: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 92 + -65. Let m = f - 26.9. Let r = -13 + 12. Which is the smallest value? (a) -11 (b) m (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(4*1 + 406\/(-116))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -729*z - 112251. What is k(-154)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (23 - -17 - -88).\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of h**5\/40 + h**4\/12 - 13*h**3\/4 + 18*h**2 + 205*h. Let q(o) = 0. What is o?\nAnswer: -8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**2 + 341726*n + 512598 = 0. Calculate n.\nAnswer: -3\/2, 85433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 1124?\nAnswer: 1124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5772 divided by -481?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.5, 10, -0.6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (k**2 + k**2 + 0*k**2)*(1037 + 176*k**2 - 1037) as q*k**3 + m*k**4 + j*k**2 + p + c*k and give m.\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(806\/5580)*45\/567.\nAnswer: 50\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154342 is divided by 3400.\nAnswer: 1342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 4*a - 2, 11*d - 2 = 13*d - 3*a. Is -1\/364 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56 + 11 + 11 + 14 + 19 - 3*o - 276*o**2 to u*o + r*o**2 + l and give r.\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 661894063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2967 - 2178 - 3*h + 2*h)*(2*h**2 + 3*h**2 - 4*h**2).\nAnswer: -h**3 + 789*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9352072 is divided by 275060.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jbhjhxjjxha. Give prob of sequence xb.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -95, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 11*o**2 - 2*o. Let m be f(3). What is the tens digit of (-2 + 28\/12)*m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 3*x**2 - x + 1. Let b be m(-2). Let p = -1\/59 - -297\/118. Let z = b + p. What is the second smallest value in -0.2, z, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -2 (b) 44 (c) -4 (d) -2\/7 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2 - s**2 + 2 + 5*s + 5. Let v be 1\/(11\/(-5) + 2). Let g(p) = 2*p + 2. Let m(l) = v*g(l) + 2*u(l). Let o(q) = q. Determine m(o(h)).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, d: 3, g: 4}. What is prob of picking 3 g?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 687591784 to the power of 1\/5, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 1 = 5. Solve -3*z = 5 + s for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 7*w + 256. Let f = w - -70. Suppose -g + 5*b + 1 = 0, 4*g = -2*b + f + 10. What is the remainder when 21 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 109 - 29. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**2. Let o(y) = 274988*y**2 - 549982*y**2 + 274992*y**2 + 120 - 20. Give j(o(a)).\nAnswer: -8*a**4 + 800*a**2 - 20000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 7*b. Let p be k(-6). Let f(l) be the second derivative of -l**3\/3 + l**2 + 28224*l. Give f(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1066 and 55186?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-446)\/(-20) + 4\/((-640)\/48)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0204 to 3 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**2 - 9*p - 5. Let o be h(-8). Let j = 92 + o. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.14457603 rounded to 4 decimal places?\nAnswer: 4.1446","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**5\/7 - 423*f**4\/7 + 1287*f**3\/7 - 1293*f**2\/7 + 432*f\/7 = 0. What is f?\nAnswer: -144, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96980482 is divided by 367.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1)*w)**(-9\/8)*((w*w*w**(-2\/5))\/w)**(-6\/5) assuming w is positive.\nAnswer: w**(-18\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.2 - -0.2. Let o = k + 1. Let h = 63 + -61. Which is the nearest to h? (a) -5 (b) -2\/7 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5666 (base 12) to base 16\nAnswer: 256e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/(-27)*(68\/8 + -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 113, -0.1, -0.9, 0, 0.4 in ascending order.\nAnswer: -0.9, -0.1, 0, 0.4, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -39, -70, -105, -144, -187, -234?\nAnswer: -285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19327, 38653, 57979, 77305, 96631, 115957?\nAnswer: 135283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3314387?\nAnswer: 3314387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11363 or -11072?\nAnswer: -11072","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*x + 35*x**2 + 135*x**2 + 468*x**4 + 18*x**2 - 8*x**4 - x wrt x.\nAnswer: 11040*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*a**2 + a**2 + 2*a**2)*(2 + 1 - 4) + 14 + 0*a**2 - 4*a**2 - 3 - 1 - 2*a**2 + 1 as v + d*a + x*a**2 and give v.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.05 + -0.05. Let z be (-56)\/(-12) + (-1)\/(-3). Suppose -3*h + 10 = -z*h. Which is the smallest value? (a) -0.2 (b) h (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - 26.01?\nAnswer: -26.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 20*j**2 - 26*j - 154. Let v(a) = -4*a**2 + 5*a + 31. Determine -16*v(z) - 3*w(z).\nAnswer: 4*z**2 - 2*z - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13119 is divided by 2491?\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-2)*f)**15*f**4*f\/(f\/((f*f\/(f\/(f\/f**3)))\/f)))**(-35))**35 assuming f is positive.\nAnswer: f**(-2450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -5. Let p = 1 - l. Suppose -4*v + 15 + 5 = 0. Solve 3*j - 11 = -t, -4*j - v = -p*t + j for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10\/(-3080)*-55)\/(30\/189). Let -3\/2 + 3\/8*w**3 + 0*w + n*w**2 = 0. Calculate w.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5548, 21881, 49102, 87211, 136208?\nAnswer: 196093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -872 (b) 0 (c) -1 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 42*c - 140. Let b(h) = -h + 4. Let j(w) = 105*b(w) + 3*v(w). Let d(y) be the first derivative of -y**3 + 2. Calculate d(j(z)).\nAnswer: -1323*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*r - 166 = 0, 2*r + 31 = a - r. Let k(d) = 0 - a*d + 0. Let z(n) = 6743*n. Let y(s) = 23601*s. Let v(q) = 2*y(q) - 7*z(q). Calculate v(k(x)).\nAnswer: -34*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 5153*z + 102940. Give q(-20).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1176\/88 - 256\/704?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001333300 (base 4) to base 13.\nAnswer: -9606b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 0 - 1\/(-5). Let a = 1.138 - 0.038. Put a, z, -3 in descending order.\nAnswer: a, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q**3 - 2. Let w be u(1). Let s be (-1*(-9)\/(-33))\/(6\/(-4)). What is the fourth biggest value in s, 5, 0.3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-16\/5))**42*(w\/w**(5\/6))**24 assuming w is positive.\nAnswer: w**(-652\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 916*o - 721. Give b(1).\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 7:24 PM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 10011211020002202?\nAnswer: 10011211020002122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -46, 3, -6610, -11, -3 in ascending order.\nAnswer: -6610, -46, -11, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 8*i**2 - i + 10. Calculate the remainder when (1\/(-6)*3)\/((-29)\/4060) is divided by y(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-534*g - 7533*g - 1782*g + 1174*g)*(0 + g + 0 - 2 + 2 - g + (-g + 0*g + 0*g)*(-2 + 0 + 1) + 2*g - g + 0*g + 1 - 1 + 2*g + 2 + g - 2).\nAnswer: -43375*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16314 and 551957.\nAnswer: 3311742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 94 + -184 - -140 - -35\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*l**3 - 706760*l**2 - 62*l**3 + 706752*l**2.\nAnswer: 6*l**3 - 8*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 179\/4452 and 115\/67098?\nAnswer: 939372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c + 14. Let f be v(5). List the prime factors of f\/18 - 10178\/(-126).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 10*o - 7. Let d be c(-9). Suppose -d*l = 3*l. Suppose 20 = -5*r, 4*r = -l*g + 2*g - 54. What is the remainder when g is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 183*a + 197. Is w(48) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**4 - h**3 + h**3)*(3 - 3 + 1)*(4 + 1 - 1).\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 9*y + 241. Give z(-24).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2596\/15 + 173. Let n = r - 32\/195. Suppose 4*a = -a. Which is bigger: a or n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 7:58 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*f**3 - 348*f**2 - 456*f - 92.\nAnswer: 4*(f - 23)*(f + 1)*(4*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 2. Is 5 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84680 = -110*d + 70*d. Calculate the highest common divisor of d and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 5. Let c(x) = -80*x**3. Let r be c(v). Calculate the remainder when 23 is divided by ((-12)\/10)\/(12\/r).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 7*x**2 - 8*x + 8. Let u be n(8). Which is greater: 6 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*(-4)\/(-2) - 1. Suppose 0 = -x*s - 10 + 15. Let o be (0 + s)*(0 - 3). Put 2\/13, -3\/4, o in decreasing order.\nAnswer: 2\/13, -3\/4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(1*sqrt(160) - sqrt(160)) - sqrt(160) - sqrt(160) - sqrt(160))\/sqrt(4))\/(sqrt(24)\/(sqrt(6)\/sqrt(2)*2 - sqrt(3))).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-168))\/(4\/28).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -96, -204, -344, -510, -696, -896, -1104?\nAnswer: -1314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 4397623\nAnswer: 879524.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 3:39 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 144 - 66. Is 8 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p - 28*p + 90 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 133, 35863.\nAnswer: 18, 133, 35863","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 5:45 PM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 5*x**2 + 1022*x + 1047. Give o(-29).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 125\/(-220) - 4\/((-32)\/6). Let 2\/11*p**2 + k - 4\/11*p = 0. What is p?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.148 - 30.852. Put -0.5, 0.1, y in decreasing order.\nAnswer: 0.1, -0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 3522975?\nAnswer: 14091900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4514 = -244*g + 6222 for g.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 242*o - 12418. Calculate r(172).\nAnswer: -378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of y**7\/1260 + y**5\/60 - y**2. Let k(i) be the third derivative of u(i). Let n(v) = -3*v + 17 - 17 + 2*v. Calculate n(k(j)).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -543.0052 + 492.787. Let w = -31.211 - t. Let v = w - 19. Round v to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1136*d**3 + 1021*d**2 - 1021*d**2.\nAnswer: -1136*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -485?\nAnswer: -482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(14)*-6)\/(sqrt(63)*1) + 2 + -1*(sqrt(72) + (sqrt(72) + -2 - sqrt(72)))*5)**2.\nAnswer: -816*sqrt(2) + 2456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 u when three letters picked without replacement from {w: 1, u: 8, e: 4, s: 1, b: 1}.\nAnswer: 16\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02925194512 to four decimal places.\nAnswer: -0.0293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 - 2. What is the common denominator of (18\/x)\/((-1)\/11) and (-366)\/(-81)*39\/(-52)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((6*sqrt(968)*2)**2 + 1 + -5 + -5).\nAnswer: -278766","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18363351 a multiple of 1182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-229)\/1603*42\/(-8)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8176)\/(-49) + 2\/(-7). Let s = h - 167. Which is the third biggest value? (a) s (b) -1\/6 (c) 0.1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11\/284 - -4313\/5964. Find the common denominator of g and 57\/10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*v**4 - 3*v**4 + 0*v**4)*(191 - 86 - 82) + (-3*v + 3*v + v**2)*(0*v**2 + 0*v**2 + 2*v**2) in the form k*v**4 + h*v**3 + r + b*v + c*v**2 and give k.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a kilometer in meters?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 1. Let j(q) = 2*q - 4. Let w(d) = -j(d) - 4*x(d). Suppose 4*y = 2 + 6. Let c(p) = -p + 2*p + p**y - p. What is w(c(l))?\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -3*w**5\/20 - 621*w**4\/8 - 42849*w**3\/4 + 3077. Factor o(t).\nAnswer: -3*t**2*(t + 207)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 4, 3, 6, -7 in increasing order.\nAnswer: -7, -2, 2, 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 5*a = -10, 3*q - 216*a = -214*a - 11 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y**(-1\/10)*y*y))\/y**(-1\/22) assuming y is positive.\nAnswer: y**(8\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6822 is divided by 6817?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of w**4\/24 + w**3\/6 - 20*w**2. Let m(j) = -3*j + 1. What is -m(d) - 2*u(d)?\nAnswer: d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/350808 and -113\/138832266.\nAnswer: 555329064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 5*s - 9. Let m(o) = -o. Determine -5*m(w) - t(w).\nAnswer: -w**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 104880 and 125856.\nAnswer: 629280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g + 57. Let h be z(18). Suppose h*d = -3*d + 138. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1 * -217.\nAnswer: 238.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f + 74. Let r be z(19). Suppose 6*n - 4*n - 238 = 0. What is the greatest common factor of r and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3094 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*j**2 + 14*j**2 - 3*j**2 + (-2*j + 6*j - j)*(-12 + 12 + j) + 1 - 1 - 2*j**2)*(-2 + 1 + 2) in the form a + m*j**2 + u*j and give m.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + 4 - 4)*(-7*z - 4*z + 2 - 5*z).\nAnswer: 16*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 7:14 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-3) - (-74)\/3. Suppose 0 = -2*f - f + d. Let l(r) = 642*r - 206063. Calculate the remainder when l(321) is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - (-2 + (0 - -10))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -i + 710000. Round i to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4407, -18443, -41845, -74619, -116771, -168307, -229233?\n\"Answer: -p**3 - 4677*p**2 + 2*p + 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1467?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -2*p + 247. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11192 (base 11) in base 8?\nAnswer: 37502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*8\/10*-20. Let s = 33 - z. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -585?\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*u - 5*k, -3*u - 4*k = k - 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 13, 4\/3, -4?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s + 956. Let o(t) be the third derivative of t**4\/12 - 2*t**2 + 1174*t. Determine o(r(k)).\nAnswer: -2*k + 1912","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.12 (b) -156832 (c) -5 (d) 6 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*d - 7. Let j be -15*((-3)\/45)\/((-136)\/(-33048)). Calculate the greatest common factor of d and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 220388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6228 and 409140?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -8*c**4 - 12*c**3 + 3*c**2 - 48. Let o(s) = -15*s**4 - 23*s**3 + 5*s**2 - 95. Let d(b) = 5*i(b) - 3*o(b). Find the first derivative of d(u) wrt u.\nAnswer: 20*u**3 + 27*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*s + 1933362 + 36578. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 380*o + 32637. Give f(-86).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-360)\/(-432))\/((-5)\/9).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36 - -37. Put 4\/9, b, -1\/4, 4 in ascending order.\nAnswer: -1\/4, 4\/9, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 9, o: 5}. Give prob of sequence non.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 29*p**2 + 7*p - 11. Let g(s) = 70*s**2 + 3*s + 11. Let x(u) = 56*u**2 + 2*u + 10. Let q(j) = 5*g(j) - 6*x(j). What is 3*a(c) - 7*q(c)?\nAnswer: -11*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 - 18 + g + 190*g**2 - 12 + 57 - 11 as u*g + x*g**2 + s and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1037107098 to the nearest integer?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of b**4\/12 + 2*b**2. Suppose 2*p - 8 = -0. Let h(z) = -z + 0*z + p*z. What is q(h(w))?\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.03219 + -58.96781. Do x and -4.7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*j + 6 + 18*j - 10*j)*(-4*j**2 - j**2 + 0*j**2)*(3 - 2*j - 3 + (-4*j + 2*j + 4*j)*(0 + 1 + 1) + 4*j - j - j + (-1 + 1 + j)*(2 - 1 - 2)).\nAnswer: 30*j**4 - 90*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -1, 3, -6\/71?\nAnswer: -6\/71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 - -23. Let x = g + -4. Which is bigger: x or -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times -188?\nAnswer: -1128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 346797728 divided by -1?\nAnswer: -346797728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22630 and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -120 - -2?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4114 and 902.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34*d*n**3 - 2*d*n**2 - 7*n**3 + 345*n**2 wrt n?\nAnswer: 204*d - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 45. Is 17 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -412*g**5\/15 - 42*g**2 + 10*g. Let w(b) = -2*b. Give y(w(t)).\nAnswer: -6592*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 20 = -2*t. Suppose 0 = -y + t. Find a, given that 0*a**y + 3*a**5 - 1 - 2*a**5 - a**4 + 2*a**2 + a - 2*a**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -1516*l**3 - 2*l**2 + 1. Let g be j(1). Let k(y) = 158*y**2 + 2*y - 3. Let b be k(-4). Let d = g + b. Round d to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.6 + -8.6. Let y be (-8)\/(-6)*(-254)\/8. Let w = 919\/21 + y. Which is smaller: x or w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 2*j - 42. Let t be h(-6). Is (-5642)\/(-39) - t\/9 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/12 (b) 220 (c) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**5 + 3*k**5 + k**5 + 3*k**5 - 3*k**5 - k**5 - k + k - k**5 + (0 + 1 - 2)*(2*k**5 + 1 - 1) + (-k**3 + 2*k - 2*k)*(7*k**2 + 0*k**2 - 3*k**2).\nAnswer: -6*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -t + 5016 + 10022, 0 = -5*t + d + 75166. What is the hundreds digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 21\/14 + 2\/4. Find the third derivative of 7*p**o + 11*p**2 - 2*p**3 - 16*p**2 wrt p.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 + -12. Let b be (f\/20)\/((-4)\/10). What are the prime factors of (-2)\/b*-9*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((12 + 0 + 0)*(1 - 1 - 2) - 3 + 4 - 3)*(-10*w + 4*w + 16*w).\nAnswer: -260*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2671578*k**2 - 3*k - 189754799 wrt k.\nAnswer: 5343156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of 0*b**6 + 0*b**5 + 0 + 1\/4*b**4 + 0*b**3 - 1\/48*b**8 + b**2 + 0*b**7 + 0*b. What is the second derivative of u(q) wrt q?\nAnswer: -140*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 j when three letters picked without replacement from vjvvhjjpppvjjvvv?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 68*u**2 + 3*u**3 + 314*u + 299*u - 68*u**2 to f + w*u**2 + n*u**3 + l*u and give l.\nAnswer: 613","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/4*(-4)\/6. Solve -d - 11 = -5*d - m, 5*d - 3*m = r for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4962, 5673, 6384, 7095?\nAnswer: 7806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 250529.07 months to decades.\nAnswer: 2087.74225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-14)\/(-6) + -3)*-9. Let f(l) = -l - 3. Let m be f(-7). Suppose 3*j = x, -m*g + g + j = -379. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -545, -1432, -2663, -4232, -6133, -8360, -10907?\nAnswer: -13768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1375, 10963, 36993, 87685, 171259?\n\"Answer: 1370*z**3 + z**2 - 5*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -2 - 3. Let k = 0 + 1. Which is smaller: z or k?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 203601537 to the nearest integer?\nAnswer: 14269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -a84041 (base 12) to base 5\nAnswer: -1140124134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 12 = 3*k, 2*k - 8 = -10. Solve -3*m + i = 15, -5*i + 18 - s = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g**3 - 12*g**2 - 366*g + 2335. Calculate k(6).\nAnswer: 355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3331 + 479731\/144. Calculate the common denominator of g and 1\/84.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/10)\/((-8)\/((-2600)\/(-5)))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 119.17 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -28722 - -56b4?\nAnswer: -2302a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -150471.15 and 0.0023.\nAnswer: -150471.1477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 8:37 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - -6. Calculate the greatest common factor of x and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -21*l + 13. Let j(h) = -40*h + 31. Let r(v) = 5*b(v) - 2*j(v). Let f(p) = -25*p + 4. What is 2*f(u) - 3*r(u)?\nAnswer: 25*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165*s**3 + 299*s**3 - 150*s**3 + 4 - 4.\nAnswer: -16*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23621.590032 - -23558.59. Let k = 62.991 + 0.009. Let x = z + k. What is x rounded to 6 decimal places?\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14915 and 316355.\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/157759 and -22\/15267.\nAnswer: 473277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -410 + 414.26. Let v = w + -0.26. What is the closest to -2 in -2, 1\/4, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 3:16 AM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(2\/3)*z**5*z*z*z)\/(z**(-2\/5)\/z*z**(2\/3))*((z\/(z\/(z**(-6)*z)))\/(z**0\/z))\/(z**(-4\/9)\/(((z\/(z**(-1\/6)\/z))\/z*z)\/z)) assuming z is positive.\nAnswer: z**(601\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -323765, -647651, -971537?\nAnswer: -1295423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13584 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2*12\/(-10))\/(82638\/14599380)\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4*(-18)\/(-96))\/(2\/176). What is the common denominator of (u\/154)\/((-2)\/38) and -47\/21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1362 + 0?\nAnswer: -1362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 297.2211ml in litres?\nAnswer: 0.2972211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3574 - 3574. Let n(s) be the second derivative of -9*s - 6*s**2 + a + 11\/6*s**3 - 1\/12*s**4. Determine n(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -320, 5, 3, 1\/8, 2\/15, -5, 42 in increasing order.\nAnswer: -320, -5, 1\/8, 2\/15, 3, 5, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 5*i**2 + 41*i + 14. Let t(u) = u**2 + 8*u + 3. Let p(l) = -2*h(l) + 11*t(l). What is the units digit of p(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -9 - (-14 - -5 - -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -2261 - 1596. Let f = 155 - 118. Calculate the remainder when c is divided by f.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 781238180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 176 and 18524?\nAnswer: 74096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7460*c*f*q**2 + 3*c*f*q + 13*c*q + 6*c + f wrt q.\nAnswer: -14920*c*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 8.3. Let q = -3 + 2.93. Let l = q - -0.07. Sort l, 0.4, b in descending order.\nAnswer: 0.4, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1589*r - 4767*r + 351 + 1587*r + 1592*r.\nAnswer: r + 351","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -331266 divided by -1209\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of -2*j**3\/3 + j**2 + 100*j + 10. Let z = -21 - -16. Calculate h(z).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1169.7792 to the nearest 10.\nAnswer: -1170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -780 (b) -1.54 (c) 1\/3 (d) -4 (e) -5 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1187000 to the power of 1\/2, to the nearest integer?\nAnswer: 1089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -581, -542, -489, -416, -317, -186, -17?\n\"Answer: p**3 + p**2 + 29*p - 612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 2*b - 4 - 2*b + 1 - 1 + (2 - 4 + 0)*(2 + 2*b - 2) - 19 + 31 - 19 - b to r + y*b and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*l + 119*l + 680 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -18969 + 6?\nAnswer: -18963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 3. Let g be o(0). Suppose 0*v - 153 = -g*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 168 - 31 = 0. Let b = 18654 + -18318. Let m = b + f. What are the prime factors of m?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a millennium in decades?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82.3888 - 0.76.\nAnswer: -83.1488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 92576759236 + 0.3?\nAnswer: 92576759236.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r + 51 = 72 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000983551144 rounded to six dps?\nAnswer: -0.000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.587 times -4?\nAnswer: 6.348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-168)\/392 + (22\/(-14) - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 599605\/6?\nAnswer: 599605\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4697498231.\nAnswer: 19, 31, 89, 89611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v**2 - 34*v - 64. Calculate z(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 6*w**2 + 5. Let t(y) = -8982*y. What is o(t(x))?\nAnswer: 484057944*x**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11428100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*a - 1476 = -100*a. Is 41 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 2*d - 6*d + (1 - 1 - 1)*(-d - d + 4*d) - 3 - d + 3)*(-1 + 1 + d).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 2*q + 2*q - 2*t, -5*q - 3*t = -58. Let c be 12\/(-2)*q\/(-2). Let n = 307664 - 307661. Calculate the greatest common divisor of c and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -84 + 130. Which is greater: y or 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27568 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*d + 282538, -z = 2*d + d - 141281. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from yyopplyyooooqp?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 237288.88836 to the nearest ten.\nAnswer: 237290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**2 - c**2 + 3*c**2 - 47699*c + 47699*c.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2016 divide 622079136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1654 - 1590 - (3 + 2 - 3)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 179 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(1\/7)*s)*s)**(27\/5)*s**(-1\/26)\/(s*(s*s**(-1\/3))\/s) assuming s is positive.\nAnswer: s**(181\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 - -15. What is the closest to 0.1 in -0.3, a, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -23\/2, 4, -46342, 0.4 in decreasing order.\nAnswer: 4, 2, 0.4, -23\/2, -46342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -u**2\/2 + 13*u - 2. Let k be b(13). Solve w - 3 = -k*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1338400124 to the power of 1\/2, to the nearest integer?\nAnswer: 36584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 149893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = 30*b + 5*j, 0 = -5*b + 439*j - 438*j + 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.7 + 7. Let q be (-16)\/65 + 0 + (-8)\/(-20). What is the smallest value in q, 0.1, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.18, -438377, -2\/5.\nAnswer: -438377, -2\/5, 0.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 5*x = -30, -x - 27 = -22*r + 17*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-10) + (-2480)\/50. What is the smallest common multiple of 2 and i\/(12\/(-2) - -4)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -124*v - 12. What is y(0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a centimeter in millimeters?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 321?\nAnswer: 3210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 6.2. Let n = b - -2. Suppose 3*k - l + 14 = l, l - 1 = 0. Sort -2\/21, k, n in ascending order.\nAnswer: k, -2\/21, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (72 - 77) + (2 - (-2 + 2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/50 and 29\/50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 7*z**2 - 5*z. Let v(x) = -14*x + 4*x + x**2 + 3*x + x + 7*x. Give -a(o) - 5*v(o).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4 = -2*m, -z = 2*m - 1 - 10. Sort m, -3, -2 in increasing order.\nAnswer: -3, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 926*w + 17813. Determine b(-24).\nAnswer: -4411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 2*h - 818, -45*h - 5 = -40*h. What is the third derivative of 29 - 11*r**3 - 6 - 14 - z*r**2 - 9 wrt r?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 9*i - 5. Let v(o) = -6*o + 3. Let u = -13 - -11. Let m(q) = -4*q - 3. Let n be m(u). What is n*a(d) + 8*v(d)?\nAnswer: -3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 12:48 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*v - 6*v - 7 - 6*v + 9 - 25*v.\nAnswer: -48*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-21) - 584\/(-14). Suppose -2*f + r = 5*f. Suppose -2*k - f = -4*k, 0 = -4*s + k + 105. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 3*b - 1, -10*y - 2*b = -6*y - 8. Let f(v) = 12*v**2 - 2*v + 1. What is the remainder when 32 is divided by f(y)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2564, -2559, -2542, -2507, -2448?\nAnswer: -2359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/85? (a) 1 (b) -264 (c) -3 (d) -4 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -779 + 1322. List the prime factors of b.\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34\/13 - 196\/65. Let t = 52 - 59.2. Which is the third biggest value? (a) t (b) -0.5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n**4*v - 31656110*n**3*v - 1468*n**2*v - 3*n**2 - 2*n*v - 64*n + v - 4 wrt n.\nAnswer: 48*n*v - 189936660*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155991 is divided by 68?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 120727147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63664 is divided by 2768?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -2*h**6\/15 + h**4\/3 - 4*h + 1. Let k(d) be the first derivative of l(d). What is the third derivative of k(i) wrt i?\nAnswer: -96*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7767, -5, -2, -16 in increasing order.\nAnswer: -7767, -16, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/(-120) - (-1)\/12)*(-5 + (-57)\/(-12)). Factor u*h - 2\/9*h**4 + 4\/9*h**2 + 0 - 2\/9*h**3.\nAnswer: -2*h**2*(h - 1)*(h + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 35\/(-7) + 2 + (-16)\/(-2). Solve 3*w - 4*w = m for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/3, 0.5, 12, 1, -745, 4, -2\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -15.86 - -0.017\nAnswer: -15.843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-244)\/(-3355))\/(((-12)\/50)\/(13\/(-130)))?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -435, 2\/13, 4, 0.4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.08 - 4.08. Let x = -0.1 - -4.1. Let v(c) = -c**2 + 4*c - 1. Let o be v(3). Sort g, x, o in decreasing order.\nAnswer: x, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 3 = z. Find the third derivative of -4*l**2 - l**2 + 15*l**6 - 4*l**2 - 3*l**z wrt l.\nAnswer: 1800*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**3 + q - 2. Let n(r) = -2*r**3 + r**2 - r + 1. Let x(g) = -3*h(g) - 4*n(g). Let i be x(2). Solve 2*j + 0*j = 4*v + 14, -i*v - 5*j = 21 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4104283, -4104274, -4104265, -4104256?\n\"Answer: 9*u - 4104292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*d - 5*d - 6*d + 24*d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/731?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqsv when four letters picked without replacement from {c: 1, s: 1, v: 7, q: 2, e: 4, f: 3}.\nAnswer: 7\/36720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*o + 38*o - 23 + 5 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - g = -0*g + 117, -3*q = -g - 87. Suppose -c - 4*c - 2*d + 15 = 0, -5*c + d + q = 0. Let r(x) = 4*x**2 - 7. Is r(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*a - 2645 + 1477 = -2528 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a. Let b(g) = 377*g + 8. Let k(y) = 10933*y + 234. Let o(t) = -117*b(t) + 4*k(t). Determine r(o(z)).\nAnswer: -377*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-15))\/(-5 - (2 - 6))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-2)*8\/(-56)*4.\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000011110101010 (base 2) in base 5?\nAnswer: 2102410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27736495907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3376*v - 30378. Calculate d(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 5\/4*a**3 + 15\/2*a**2 + 0 + 25\/4*a = 0?\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-1*sqrt(132))\/sqrt(12))**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y + 15 = 5*y. Let n(w) = -3*w + 2*w - 3*w + 1. What is the units digit of n(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1\/2, -2\/109, -3?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 (base 15) in base 2?\nAnswer: 1001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(5*21\/1365).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10101111100010010101 (base 2) to base 16\nAnswer: -af895","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -5197*c**3 - 2*c**2 + 18. Let g(u) = 10393*u**3 + 5*u**2 - 45. What is -2*g(i) - 5*v(i)?\nAnswer: 5199*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 30 + -34 - (-1 + -2). Let v(z) = 4002*z**2 + 6*z + 5. Is v(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*f + 1346 - 1346.\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/44*-194 + 27?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of v**6\/6 - v**5 - 41*v**4\/4 - 83*v**3\/3 - 34*v**2 - 20*v - 573. Factor p(o).\nAnswer: (o - 10)*(o + 1)**3*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 16*w. Let l(j) = 463*j**2 - j - 1. Determine d(l(s)).\nAnswer: 7408*s**2 - 16*s - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1922, 1932, 1956, 2000, 2070, 2172?\n\"Answer: p**3 + p**2 + 1920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 186, 245, 358, 537, 794, 1141?\n\"Answer: 2*y**3 + 15*y**2 + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*j**2 + 9824 - 3311 - 3306 - 3207.\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.11 - -1.11. Let p be (-4)\/6 + 17\/3. Let s be 2\/(-30) - p\/15. What is the nearest to o in 5, -2\/11, s?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*p**4 + 5042 - 25*p**4 + 0*p**4 - 6*p**3 - 1294 - 36*p**4 wrt p.\nAnswer: -204*p**3 - 18*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.81 * -0.3\nAnswer: -0.543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -157, -384, -681, -1048, -1485?\nAnswer: -1992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 13 (b) -0.034 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2523830.\nAnswer: 2, 5, 252383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**2 - 50*f**3 - 2*f**2 - 79*f**3 + f**3 - 3*f**3 + 4*f**3 + (-3 + 1 + 0)*(0*f - f**3 + 0*f).\nAnswer: -125*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 8*v**3 + 5*v**2 - 5*v**2.\nAnswer: 8*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h - 2. Let q be n(8). Let j be 132\/q + 2\/6. Let f(p) = p + 11. Let z be f(j). Solve -z*c - 1 = v, -6*c = -c for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 3325404 (b) -7 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - x + 3*s = 160, -220 = -11*s + 258 - 533 for x.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(14\/9)*k**11\/k*k\/k**(1\/8)*k\/(k\/(k*k**(-1))) assuming k is positive.\nAnswer: k**(895\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/390 (b) 57.4 (c) 0.4 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3987*u + 23893. Give r(-6).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -d**4\/3 + d**3\/2 - 9*d**2\/2 + 2*d - 19. Let o(m) = -10 - m - 5*m**2 + 2*m + 2*m. Let r(i) = 4*h(i) - 3*o(i). What is r(4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 5*z - 4. Suppose -2*i = 4*j - 4, 3*j + 0*j = 3. Suppose -3*g + 9 = 0, o = -i*o - 4*g + 11. Let u be (4 + (-170)\/35)\/(o\/(-7)). What is x(u)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hrrhrhrhhhhrrr. What is prob of picking 2 r and 2 h?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396)*-3 + 1 + sqrt(396)*-1 + -2 + ((0 + sqrt(396))*-2 + -4*(-1*sqrt(396) - sqrt(396)) + 2)**2.\nAnswer: 120*sqrt(11) + 14259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4\/11 + 5*y**3 + 608*y**2\/11 - 1444*y\/11.\nAnswer: y*(y - 2)*(y + 19)*(y + 38)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-63*o - 70 + 70 + (1 - 5 + 2)*(-3*o + 4*o - 11*o) + 4*o + o - 4*o)*(-2 + 2 - o).\nAnswer: 42*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1535160 and 4191.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -17*a**4\/12 - 3*a**2 - 209*a. Let r(b) = -33*b**2 - 13. What is 6*r(c) - 13*x(c)?\nAnswer: 23*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*x + 153 - 1 + 316 = 0 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 22871277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5888 and 3968?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-241)\/241*2\/(-10)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3251 + 514640?\nAnswer: 511356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2, -7, -30, -67, -118, -183?\n\"Answer: -7*x**2 + 12*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3, 112, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 + 75 = 13*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 667 is divided by 279?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-6)*v*v**(2\/15))**(2\/5) assuming v is positive.\nAnswer: v**(-116\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**14*t)\/(t\/(t**(-4\/7)\/t)))**(8\/3) assuming t is positive.\nAnswer: t**(232\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 - 57. Let h = -107\/4 - p. What is the nearest to h in -1, -0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of f**4\/24 - 2*f**3\/3 + 2*f**2. Let s be y(4). Sort s, 4, 2 in descending order.\nAnswer: 4, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2517 is divided by 60?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243*w - 7657656 = -88*w + 2240568. What is the highest common factor of w and 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**2 + 6*c - c**2 - 5*c - 3*c wrt c.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 14*n + 28. Let i(j) = -4*j**2. Let h be i(n). Which is smaller: -13 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.20623 + -5.78537. Let j = m + 6. What is j rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f - 1. Let t be 2\/((-4)\/30*3). Let i be a(t). Does 2 divide i\/(-4) - (-1)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rcabargbbnab. Give prob of sequence crb.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*l*w**2*z - l*w**2 + 30*l*w + 2*w**2 + 3*w*z - 2*w - 3*z wrt w.\nAnswer: 54*l*z - 2*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -160021344 divided by 399.\nAnswer: -401056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2917?\nAnswer: 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Calculate 1291188 divided by 430396.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -u + 15. Suppose -4*r = -u - 207. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -7. Let t be (-2)\/5 + 8\/45. Let q = -13 - -12.5. Which is the closest to s? (a) q (b) t (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 14. Let h(a) = a**3 - 3*a**2 + a + 2. Let d be h(g). Suppose d = -2*r, u = -0*u + 4*r + 184. What are the prime factors of u?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of n**4\/24 - n**3\/2 - 23*n**2. Determine a(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, q: 12}. Give prob of sequence qq.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v - 2 = 12. Which is smaller: v or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1005 - -385. Let j = z + 920. Does 20 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 20*y**2 - y - 1. Let w be o(-1). Suppose -2*f = -0 - w. Is f a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 136*f**2 + 337*f - 471. Is 23 a factor of h(-139)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45672540 divided by -5?\nAnswer: 9134508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 416, 1, 32, -55, -2, 4 in increasing order.\nAnswer: -55, -2, 1, 4, 32, 416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/6 - 2\/3. Let i = -5.6 + 27.6. Let l = -1.094892 - -2.094892. Which is the nearest to g? (a) 0.4 (b) i (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -753732 - -1?\nAnswer: -753731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -271.312 - -275. Let c = -0.012 - b. What is c rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + -0.5. Let t = -5 - v. Sort -1\/11, -1, t in descending order.\nAnswer: t, -1\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 4, 986 in increasing order.\nAnswer: -19, 4, 986","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 + 35 + 5)*(3*a - 2 + 2).\nAnswer: 189*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 9) to base 10\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12973716619\/2393607255 - -9\/3711019. Let a = h + -82\/15. What is the biggest value in a, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-89)\/178)\/(1\/((-6)\/1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2*720060\nAnswer: -1440120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9106 or 9141?\nAnswer: 9106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 22703525213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1872817?\nAnswer: 1872817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + -5)\/(6*1\/8). Let h be (54\/(-72))\/(-2*(-1)\/j). Let b(u) = 5*u - 12. Let x be b(h). Is -1 less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = 2*r - 33, 3*g + 2 = 3*r + 5 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*w**4 + 4*w**3 + 254*w wrt w.\nAnswer: 84*w**2 + 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 3*y - 4 = 0, -4*o + 5*y = -22978 + 22926 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 97 + -45. Let z = m - 466\/9. Which is the nearest to 0? (a) 1\/12 (b) -2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -13*x**5\/4 - x**3\/2 - 3*x**2\/2 + 18*x - 71. Let u(d) = 4681*d**3 + 217*d + 217. Calculate 217*b(l) + 3*u(l).\nAnswer: -62*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 26 = -2*x, -k - 22 = -3*x - 7. Sort -4, x, 12 in decreasing order.\nAnswer: 12, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 9. Let c = 2 - m. Solve 0 = -u - 0 - c for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 55*y + 332. Let a be b(-6). Solve a = -3*f + 5*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 3)*(6*z**5 - 2*z**5 - 3*z**5) + (-2*z**2 - 2*z + 2*z)*(4*z**3 + 4*z**3 + z**3) + (-2 + 2*z**3 + 2)*(4*z**2 + 4*z**2 - 6*z**2).\nAnswer: -13*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.2, -6, 2, -2.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 4*v**2 + 3. Let n(h) = -h**3 + h**2 - h + 1. Let m(g) = 6*g**3 - 9*g**2 - 2. Let u(f) = m(f) + 5*n(f). Let t be u(5). Determine i(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 3*i**2 - i - 3. Let m be x(5). What is the highest common divisor of m and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 147454 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2295099420 to the nearest integer?\nAnswer: 1319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 452, 482, 550, 674, 872, 1162?\n\"Answer: 3*u**3 + u**2 + 6*u + 442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1110*a + 22026 = 1116*a. What is the hundreds digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 538 - 257 = h, h + 315 = -2*v. Let q = 331 - 490. Which is greater: q or v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 302 - 259. Calculate the highest common factor of 387 and b.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45 - 11. Suppose -k*u + 31*u + 6 = 0. Suppose u*f = -22 + 6. Sort f, -1, -2 in ascending order.\nAnswer: f, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 361361927 and -0.8?\nAnswer: 361361927.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/5, -15, -4, 0.1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + -61. Let o = 80 + d. Suppose -8*p + 12185 = -o*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 34805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**2 + 3*g**2 - 5*g**2 + (1 - 1 + g)*(-3*g + 4*g + g) + (0*g + 3*g - 2*g)*(0 + 0 - 2*g))*(0 - 2*g + 0 - 2 + 2 + 5*g + (0 + 0 - 2)*(-2*g - 1 + 1)).\nAnswer: 14*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 5*p = -12 - 3, -4*j - 3*p + 33 = 0. Let b(u) be the first derivative of 3*u**2\/2 - 3*u + 1. Is b(j) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48da11 (base 16) in base 3?\nAnswer: 22222120021021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33*k**6*t - 3579*k**3*t - 2*k**2*t + 2*k*t - 2*k - 6120*t wrt k?\nAnswer: 3960*k**3*t - 21474*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/9*-1*6)\/(-1). What is the second derivative of -13*b - 48*b**d + 1008*b**2 - 1008*b**2 wrt b?\nAnswer: -576*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + f - 290 - 230 = 0, -4*f = o - 85. Let s = o - 96. What is the greatest common factor of 9 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 7. Let r = -2 + y. Let s = -980 + 985. Which is the biggest value? (a) s (b) -3\/5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -46? (a) -3\/2 (b) -0.022 (c) 1 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*d**4 + 581*d + 58922 wrt d.\nAnswer: 88*d**3 + 581","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z + 4. Let r be x(4). What is the units digit of (-5)\/(10\/(-16)) + r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 79 = -0. Suppose -k = -11*o + 9. Calculate the lowest common multiple of o and 39.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 454927 and 1188?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2181*x - 10959. Determine r(-5).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34\/15 + -8\/5. Let f(p) be the second derivative of w*p**3 + 1\/3*p**4 + 2*p + 0*p**2 + 0. Find the second derivative of f(b) wrt b.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1989900, 1989898, 1989896, 1989894?\n\"Answer: -2*r + 1989902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -37, -52, -67?\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + 9176 = 9162. Let d = -6 - -11. Which is the third smallest value? (a) s (b) -1\/8 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 7 = 4*g, 0 = -g + 2. Sort 5, s, 4 in increasing order.\nAnswer: s, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.827 to two dps.\nAnswer: -0.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.41296605 rounded to 4 dps?\nAnswer: -0.413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6383 is divided by 304?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 2*h - 1. Let w = 0 - 2. Let s = 13243 + -13250. Let y(k) = 4*k**3 - k**2 + 7*k + 4. Calculate s*i(l) + w*y(l).\nAnswer: -l**3 + 2*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from skaaakasasasssa. Give prob of sequence aaas.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -3. Let j(i) = c + 1 + i + 0. Let n(m) = m + 1. What is j(p) - 2*n(p)?\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**3 + 15752*p**2 - 15780*p - 94536 = 0. What is p?\nAnswer: -3939, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224 = 14*b - 0*b. Suppose -10 = -21*p + b*p. Let z(u) = -u**3 - u**2 + 5. Let k be z(0). Solve 4*i + 5 = g, k*g - 2 = -i + p for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1030439093 to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 998 in -0.1, 0.07, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 11*b - 3 = 2*o, 5 = 5*o - 5*b. Let y(a) be the first derivative of o*a**2 + 8*a + 9 + 7\/3*a**3. Differentiate y(t) with respect to t.\nAnswer: 14*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**3 - 4*h**2 - h + 2. Let k be u(-2). Suppose -2*z + 62 = -4*w, -4*z + 2*z + 49 = -3*w. Put w, 5, k in descending order.\nAnswer: 5, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76, 159, 258, 379, 528?\nAnswer: 711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 4*s = 10, -4*s = 4*y - 2*s - 8. Suppose -h = y*h - 6. List the prime factors of (-1)\/(h + 31\/(-15)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*f - 216*f + 65037 = 100*f for f.\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 27110 and 1?\nAnswer: 27109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 1045*c + 1. Let h be y(1). Suppose 2*a - h = 68. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -8. Let w = q + 6. Suppose w*x - 21 = 7. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a second in milliseconds?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35611 (base 10) to base 11.\nAnswer: 24834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (6*(sqrt(75)*-1 + sqrt(75))\/sqrt(3))\/(((sqrt(150)*1 + sqrt(150))\/sqrt(3))\/sqrt(10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 488306407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 334324855 and 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3871*t + 21. Let o(s) = -627105*s - 3395. Calculate 485*a(y) + 3*o(y).\nAnswer: -3880*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/15 in 4, 0.6, 0.1898?\nAnswer: 0.1898","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 432814 is divided by 61.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7190, 7159, 7106, 7031, 6934?\n\"Answer: -11*v**2 + 2*v + 7199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5\/(-8)*-1028*6\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-17)*(-25 + (-216)\/(-8))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2030100862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42*d**3 + 200*d**2 wrt d.\nAnswer: -252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -158 - -162. What is the second derivative of -3*l**4 + t*l**2 - 36*l - 128*l**3 - 4*l**2 + 136*l**3 wrt l?\nAnswer: -36*l**2 + 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.145 and -27.5.\nAnswer: 3.9875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of n**4\/12 + n**3 - 3*n**2 + 4*n. What is the units digit of u(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66*110\/(-1735140))\/1.\nAnswer: -1\/239","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/4))**(-1\/3)*s*s**(-9)*s*s*s*s**8 assuming s is positive.\nAnswer: s**(37\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 6*z + 296 = 3*o, -3*z - 77 = -o. Is o a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6578 and 325.\nAnswer: 164450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22891.8 - -22892. Which is the second smallest value? (a) h (b) 0 (c) 939\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1217, -6 in decreasing order.\nAnswer: 1217, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -776 = -3*q + 2*y + 1747, -2*y + 2523 = 3*q. What is the hundreds digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -12. Let t = n + -7. Let f = 0.39 + 0.01. Which is the nearest to t? (a) 0.5 (b) f (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t**2\/6 - 91377*t\/2 - 54825 = 0.\nAnswer: -54825, -6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5233 + 28469 = -461*a - 167*a for a.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -63509\/5 + 12701. What is the closest to 0.2 in 170, 2\/7, t?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/48)*(w\/(w\/(w*w*w**(4\/17))))\/w*w**8*w*(w\/(w*w*w**(2\/51)))\/w)**34 assuming w is positive.\nAnswer: w**(6671\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87032248?\nAnswer: 2, 17, 29, 22067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -45*t**2 - 48*t. Calculate y(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6968932 divided by 76?\nAnswer: 1742233\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4094 or 4093?\nAnswer: 4093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (3 + (-4*sqrt(500))\/(sqrt(392)\/sqrt(2)))**2.\nAnswer: -120*sqrt(5)\/7 + 2294\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(-14)\/(-10) - (-92)\/115. Let o(l) = 142*l**2 - 2*l - 10. Is 39 a factor of o(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 642, 0.8, 688 in decreasing order.\nAnswer: 688, 642, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.675496 rounded to three dps?\nAnswer: 0.675","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 0.1, -2, -1\/26, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5\/12)\/(n*n**(6\/11)*n*n))\/((n*n*n**(-17\/4))\/n**(-37)) assuming n is positive.\nAnswer: n**(-2555\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -54, -112, -190, -288, -406?\nAnswer: -544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lb when two letters picked without replacement from rhbkbbhllkhlbbj?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.619 + -15041815057.\nAnswer: -15041815056.381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52 - (-6 + 4) - -4?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -814033, -814003, -813971, -813937?\nAnswer: -813901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2709, -2441, -1707, -273, 2095?\n\"Answer: 39*d**3 - d**2 - 2*d - 2745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/44)\/((-8)\/(-308))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*z + 191 - 359 = 0 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43713188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 358 = 4*i - 258, -5*i + 744 = -4*s. Suppose 4*c - 120 - i = 0. Calculate the highest common factor of c and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -291 or -292?\nAnswer: -292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (264\/20)\/((-15)\/50). Let i = 52 + s. Suppose -l = -22 + 10. Calculate the smallest common multiple of i and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 47*a + 2702. What is p(-48)?\nAnswer: 446","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -1, 646, 2, 4, -5, -13 in increasing order.\nAnswer: -13, -5, -1, 2, 4, 19, 646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4*l - 67, 0 = 3*l - w + 26 + 23. What is the common denominator of -145\/24 and (-10 + 0\/(-3))\/(l\/(-39))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-2\/27))\/(q*(q\/q**(-9\/5))\/q*q*q))\/(q*q**(-2\/15)*q\/q**(1\/4)) assuming q is positive.\nAnswer: q**(-593\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 46*w**2 + 4*w - 3810. Let m(r) = -31*r**2. Give v(m(z)).\nAnswer: 44206*z**4 - 124*z**2 - 3810","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/37)*j\/j**(1\/11))\/(j\/j**9)**22 assuming j is positive.\nAnswer: j**(72024\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + h - 7. Let y(x) = -2*x**4 + 142*x**3 + 140*x**2 - 130*x - 180. Let m(i) = -12*b(i) + 2*y(i). Factor m(u).\nAnswer: -4*(u - 69)*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*y = 119*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009 plus -0.65429?\nAnswer: -0.66329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -6*c**3 - 192*c**2 + 2*c + 66. Let n be m(-32). Let g(f) be the first derivative of f**3 + f**2\/2 - 2*f + 1. Determine g(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 76\/25?\nAnswer: 76\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1467829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-22)\/(-6) - (8\/3 + -2). Suppose -2*n + 4*j - 16 = 0, -n - v*n - j = -13. Solve 2*g + 8 = 4*l, -n*l = -l + g - 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*v**2\/3 - 101*v - 122\/3 = 0. Calculate v.\nAnswer: -2\/5, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 9 + (-15 - -9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (147\/588)\/(((-1)\/240)\/((-10)\/(-260))).\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1291? (a) 4 (b) -0.1 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7998 and 409386.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 0.2, 4, 25?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (7*(18\/6)\/21)\/7\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*z + 0*z - 3 + 4*z + 9*z as b + m*z and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 302240 and 64?\nAnswer: 604480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.2 - 2. Let x = -2.8 + 3.2. Put x, -5, p in ascending order.\nAnswer: -5, p, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2465 is divided by 803.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 1519 = -g - 4*g, -5*z - 2573 = -2*g. Which is smaller: -512 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26437184?\nAnswer: 2, 413081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**8*a\/a**(-2\/9))**(-43)\/(((a\/a**(-1\/2))\/a)**(-41))**(-6\/7) assuming a is positive.\nAnswer: a**(-26090\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2389*y**4*z - 31*y**4 + 316*y**3*z - y**3 + y**2*z + 2*y**2 + 17590879*z wrt y.\nAnswer: 57336*y*z - 744*y + 1896*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48607391?\nAnswer: 7, 6943913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, z: 12}. What is prob of picking 3 z?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-72))\/((-16420)\/(-192114)).\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + 4*r. Let c(f) = -2*f + 1. Let p be c(3). Let h be y(p). Let b = h + -4. What is the remainder when b is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6708?\nAnswer: 2, 3, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 7301*m. Let q(i) = -i**2. What is q(a(d))?\nAnswer: -53304601*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cvz when three letters picked without replacement from {c: 1, v: 7, z: 10}.\nAnswer: 35\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u + 6*u + 1 - u**2 + 4*u**2 - u**2. Let v be r(5). Suppose -v - 19 = -5*z. Is 19 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 4*c + 5. What are the prime factors of s(3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1522696ml to litres.\nAnswer: 0.0001522696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6524)\/(-699))\/(20\/(-6)).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -11 + 1, 7 = -j - 2*f for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-3\/8)\/(m*((((m**(14\/3)*m*m)\/m)\/m)\/m)\/m*m) assuming m is positive.\nAnswer: m**(-121\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 153788526?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5381089, -5381091, -5381093?\nAnswer: -5381095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -u + 3, -2*u = 2*b + 2*u + 16. Solve -6 = 3*y - 5*y + 4*f, -5*f = b*y + 12 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 198 - 148*l**2 - 198 - 4*l**2 + 3*l**2 + 0*l**2 + (0*l - 2*l + l)*(3*l - l + 0*l) - 4*l**2 + 2*l**2 + l**2 in the form x + z*l**2 + w*l and give z.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5849560.8 * 0.1.\nAnswer: 584956.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + -27)*-1*1. Suppose 2*w - 5*v = 73, -3*w - 4*v - n = -196. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, r: 1, s: 1}. Give prob of picking 1 r and 1 y.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 * 0.8.\nAnswer: 0.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98261?\nAnswer: 97, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 16980 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: Let t(z) = -z**3 + 8*z**2 - 6*z - 8. Let u be t(7). Let o(n) be the third derivative of -3*n**4\/8 + 3*n**2. List the prime factors of o(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-8)*(-24)\/36?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 18 + (3 - 18) + (-20)\/60 + 232\/(-78)\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 639763 is divided by 2470.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**4 - h**3 + h**2 - h. Let f(i) = -18*i**4 - 10*i**3 + 10*i**2 - 10*i - 12. Let a(x) = -f(x) + 10*o(x). Find the first derivative of a(k) wrt k.\nAnswer: 32*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 21*m**2 - 1 - 5*m**3 + 13*m**2 + 13*m**2 + 2*m to the form o*m**2 + q + j*m + p*m**3 and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 216 + 9118*h - 1962*h - 108 - 108 as u*h + d and give u.\nAnswer: 7156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 1:57 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 212450393?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -174.77 - -180.77. Which is the closest to 9? (a) 0.1 (b) v (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 75*j**2 + 76*j + 4. Let n be h(76). Determine m, given that 4\/5*m**3 + 4\/5*m**2 + 0 - 4\/5*m**n - 4\/5*m = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26? (a) 2.8 (b) 9.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 35\/20 + -14 + 13. Sort -2\/75, g, -6\/5, 1 in decreasing order.\nAnswer: 1, g, -2\/75, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-2))\/(1\/((-3)\/(-3)))*(-2800)\/4000.\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v**2 + 33*v + 121. Let z be c(-19). Let s = z + -579. Put -12, 2, s in decreasing order.\nAnswer: 2, s, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-3*(sqrt(7) - (-2 + sqrt(7))))**2 - (0 + sqrt(7) + 2)).\nAnswer: -sqrt(7) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 + 0*m**3 + 85*m**3 - 3 + 0 - 10*m**3.\nAnswer: 75*m**3 - m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 18 = -48*r + 50*r, 0 = -3*p + 15 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2266247221 a multiple of 1803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -1. Let l(a) = -2*a**2 + 6. Let n(f) = -l(f) - 6*p(f). Let r(u) = 12*u - 13*u - 9*u - 14*u. Determine n(r(q)).\nAnswer: 1152*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*s - 39*s - 125892 = 0. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 3*o - 2*u, 2*u = -416 + 408 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 37\/2 of a decade?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7792?\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14592 and 1280.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 8*q + 1. Let i be w(-1). Let f(o) = o**3 - 5*o**2 + 2*o - 2. Let n be f(2). Let g = i - n. Sort g, 0, -2.\nAnswer: -2, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53832.2 years in centuries?\nAnswer: 538.322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -17*z**2 - 26. Let n(a) = -8*a**2 - 12. Let b(i) = -13*n(i) + 6*o(i). Let j(t) = 20*t. Calculate j(b(q)).\nAnswer: 40*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, r: 2, o: 2, t: 3, p: 1, u: 4}. What is prob of picking 2 r and 2 y?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85213 = -102*i - 85349 + 172704 for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-37*42\/2331)\/(4\/150).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110932412 is divided by 224.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 7. Suppose -s - 2*o = -v*s + 4, 0 = 5*s + 2*o + 18. What is the tens digit of s\/15 - 2168\/(-60)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1358.9 - -1359. Let a = 15 + -11. Which is smaller: h or a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -120231?\nAnswer: -120232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 80*t - 84*t + 4*n + 4680, 0 = -4*t + 2*n + 4668. Solve j + t = 1168 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*a + 41*a**2 + 7*a**2 + 398*a + 40*a wrt a.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 - 41 = -16*p + 30 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-8))\/((-4)\/(-2)*(-4)\/(-48)). Put -24, 72, q in decreasing order.\nAnswer: 72, q, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5323610 to the power of 1\/3, to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 3*b**2 - 9*b + 45. Let a be u(4). Which is greater: a or -128\/21?\nAnswer: -128\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200\/46923 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*l - 57 - 7. Let j = 256 + -257. What is the fourth smallest value in j, 1, l, 2\/9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 53*t - 442. What is the units digit of b(19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5470865*k**2 + 521816015*k wrt k?\nAnswer: 10941730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/10 - (-21780)\/900.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000122102 (base 3) to base 11.\nAnswer: -14161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = -19*s - k, 4*s + 2*k = -13 + 23 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*r**3 + 2)*(-5 + 4 + 5) + 40*r**3 + 129 - 129 + (-12*r**2 + 8*r**3 + 12*r**2)*(-1 + 1 - 2).\nAnswer: 32*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.021 + 0.021. What is the second smallest value in k, 0.2, 2\/5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*5\/(120\/(-32)). Let d(u) = 6*u + 4. Let g(p) be the second derivative of 11*p**3\/6 + 7*p**2\/2 + p. Determine s*g(k) + 7*d(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-4) - 330\/(-44). Suppose -4*k = 22 - 6. Let d = s - k. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 12) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 16 + -7 - (-2 - (4 + -1))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 311 = -49*q - 32. Which is the closest to -2? (a) -0.1 (b) 0.5 (c) q (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/24 and ((-2431)\/780 - -1*3)*26.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*t**2 + 3*t**2 - 4*t**2)*(5 - 9 + 3*t + 5) to p*t + z + f*t**3 + c*t**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -12*w + 3, 3*u + 5*w - 9*w - 58 = -61 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 16) in base 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -115, -0.2, -4, 14, -17, -1\/4 in descending order.\nAnswer: 14, -0.2, -1\/4, -4, -17, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1 (b) -0.3 (c) -4\/19 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5418 - 5327. What is the remainder when 527 is divided by o?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19017464 by 2.\nAnswer: 9508732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, b: 2}. 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: Let v(w) be the first derivative of -w**6\/6 - 21*w**5 - 103*w**4\/2 + 2*w**3\/3 + 207*w**2\/2 + 103*w + 751. Factor v(z).\nAnswer: -(z - 1)*(z + 1)**3*(z + 103)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -57 + 57. Let h be ((-6)\/(-5))\/(30\/100). Solve a + h*a = w for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68067 - 63478 = -353*v for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 - k + 1. Give n(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 239419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13197719629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a**4 + 95*a - 462 wrt a?\nAnswer: 8*a**3 + 95","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14829 = 11*t + 5600. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 48 = -14*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 39143 * -8.29\nAnswer: -324495.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 176592, 40, -2 in ascending order.\nAnswer: -2, -1, 40, 176592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 60*c*x**4 + 139680*c*x**3 + 141*c*x**2 - 2*c*x + 11*x**2 - x - 2 wrt x.\nAnswer: 1440*c*x + 838080*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 573593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -2*d**3 + 14*d + 13\/12*d**4 + 0 - 2*d**2 - 1\/20*d**5. Calculate k(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 3 + 99. Let w be ((-4)\/(-6))\/(-4*2\/o). Suppose -16 = -4*y, -w*y - 214 = -c - 0*y. List the prime factors of c.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 8*a + 257. Let s be t(-31). What is the highest common divisor of s and 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.08144 centimeters to millimeters.\nAnswer: 530.8144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 395 is divided by 50?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-4)*n*n\/(n**4\/n))\/((n**(-1\/4)*n)\/n)**35)\/((n**0)**(-2\/61)*n**(-6)*n**(-7)) assuming n is positive.\nAnswer: n**(67\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 - 5. Suppose f = -i + 2. Let p = -6 - i. Calculate the highest common divisor of 33 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 280 minutes after 10:54 PM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5822359497?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -45795.18491 to 0 dps.\nAnswer: -45795","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 5*v = -75, 9*a - 5*a + 3*v = 25. Solve -5*w + 5*r - 30 = 0, 7*r - 3*r - a = -3*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15196.\nAnswer: 2, 29, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*u = 80*u + 1030 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) -10 (b) 5 (c) -2 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -491.683 - -8.\nAnswer: -483.683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(180) + -5 - (-3 + sqrt(180) + 5))*-2)**2.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 455201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**2 + 3*h**2 + 9*h**2.\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (26 + -47)) + -9 + -1 + (1 - -43).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*q**2 - 6*q**2 + 10*q**2 + (-q**2 + 2*q**2 - 3*q**2)*(19 + 6 - 11) + 0*q**2 + 0*q**2 - 2*q**2 + (-q + 2 - 2)*(-q - 4*q + 4*q).\nAnswer: -20*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 138a - 2?\nAnswer: 1388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -219*z**3 + 58*z**2 - 292*z + 23.\nAnswer: -1314*z + 116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + (31 - 28 - (2 - 11)) - -8.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 621935 is divided by 147.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-15))\/b*b**(3\/13))\/(b\/(b*b**(-1\/5)))**(-1\/2) assuming b is positive.\nAnswer: b**(1993\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 466504990?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 7:43 PM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**3\/m)\/m**(-12)*(m\/m**(3\/2))\/m**(-7\/2) assuming m is positive.\nAnswer: m**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -8. Suppose 0 = c - 3*c + 8. Suppose 24 = 4*t + 4*z, 0*t + 3*t = -c*z + 21. Solve -3*u = u - 8, n*b + 2 = t*u for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96 divided by -4.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 v when two letters picked without replacement from uuuuuuuuvuuu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**3 + 151*o**2 + 69*o - 779. What is b(-75)?\nAnswer: -329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 32507.\nAnswer: -65014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 50\/7 - (-3)\/(42\/(-2)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (4 - (-5 - (2 + -38 + 2))).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4*y = -15 - 10, 5*y - 17 = d. Suppose a = -d*q - a - 20, -4 = q - 2*a. Is (-20)\/q*(-33)\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 19*x**2 - 4*x + 14. Let b(o) = -8*o**2 + 2*o - 7. Determine -5*b(m) - 3*y(m).\nAnswer: -17*m**2 + 2*m - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18001 by 1.\nAnswer: 18001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2*(-1841)\/(-70) + -2*1\/(-5).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 118, 179, 240, 301?\nAnswer: 362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 833 - 396. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3219 is divided by 394?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*i - 3. Suppose 0 = 4*m + i*m - 189. Suppose v + m = -8*v. Let n(d) = -d**2 - 3*d - 1. What is n(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**2 - 3057*i + 3057*i.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 93016 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -786152710*b**2 - 52584308 wrt b.\nAnswer: -1572305420*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 479*f**2 - 479*f**2 + 3624*f**3.\nAnswer: 3624*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 1:36 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*3\/18*-2. Let m be (y - 34\/10) + 2\/5. Calculate the remainder when (-1*(-1)\/m)\/(39\/(-156)) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 45*l**2 - 8*l**2 - 1 + 46*l**2.\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/5 (b) 2\/15 (c) 8 (d) 6 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 328*s**2 + 155*s - 214. Let x be w(-7). What is the greatest common factor of x and 374?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -32*w + 14. Let u be r(-5). Suppose 3*t = 3*h - u, -h - 284 = 5*t - 4*h. Let x = t - -82. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**3 - 31*u**2 + 122*u + 2528. Calculate c(-13).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35853 + 53057. What are the prime factors of v?\nAnswer: 2, 11, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3411866 (base 10) to base 4.\nAnswer: 31000332122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35.966 + 36. What is w rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 7*z**2 + 8*z + 4. Let q be h(-8). Solve -9 = -q*l + 11 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l**2 - 857 + 857 + 12*l**2.\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11010000000000001 (base 2) in base 10?\nAnswer: 106497","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o**4 - 60*o**3 + 5*o**2 + 60*o = 0. What is o?\nAnswer: -12, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11, -72, -229, -530, -1023?\n\"Answer: -8*f**3 - 5*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -b**3\/3 - 3*b**2\/2 + 2*b - 1603. Determine l(5).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1177277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.109 + 7.209. Let n = w - 7. What is the second smallest value in n, -5, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -113.5 - -113. What is the nearest to -2\/7 in x, 2, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 1466789 = -3*b, 3*b - 3*c - 1979576 + 512738 = 0. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -72 - -92. What is the least common multiple of c and 32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -76 - -109. Calculate the remainder when 64 is divided by u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y + 9. Let x be d(-5). Let a be 14\/24 - 0 - 2\/8. Factor -4\/3*m**x + 0 - 2\/3*m**2 - a*m + 7\/3*m**3.\nAnswer: -m*(m - 1)**2*(4*m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 67 = -2*l, -4*l = z + 2*z - 73. Suppose 5*x + z = -2. Let y = 0 - x. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3832 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 15689444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 136.9 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 186887353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2323210532.\nAnswer: 2, 29, 20027677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 w when three letters picked without replacement from {w: 7, h: 12}.\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/6 in -6151\/6, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, 210, 420, 584, 678, 678, 560, 300?\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*r + 9*r - 112. Let j = -24 - r. Find the third derivative of -6*o**j + 7*o**4 - 13*o**4 - 2*o**2 - 3*o**2 wrt o.\nAnswer: -288*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13752 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -5, 0.5, -0.4, 93, 81 in increasing order.\nAnswer: -5, -0.4, 0.4, 0.5, 81, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 + 10. What are the prime factors of ((-129)\/(-2))\/(p\/(-434))?\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (440\/33)\/(-8)*(-108)\/30?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + r**3 + r - 3 - 2*r**2 + (-r + r + 3*r)*(3*r**2 + 3*r**2 + 3*r**2).\nAnswer: 28*r**3 - 2*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 37672.\nAnswer: -113016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2916)\/(-14) + 12\/(-42). Suppose y = 5*m + 2*n, 0*m + 5*m - 2*n - 212 = 0. What is the smallest common multiple of m and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(4\/11)*q\/(q\/(q\/((q\/(q*q**(-1\/4)*q*q))\/q))) assuming q is positive.\nAnswer: q**(181\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (29\/(-3) + 10)*-3 - (11 + 0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 3:32 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 67 - 68. Which is the second biggest value? (a) -1.2 (b) h (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.15 - -1.06. Let q = g - 0.66. Let d = q + -5.25. Which is the third smallest value? (a) -0.2 (b) d (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c3b (base 15) to base 9.\nAnswer: -3702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) -4\/5 (c) 27\/5 (d) 13.4 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34025 - 33452. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yccnny. Give prob of picking 1 n, 1 c, and 1 y.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -61.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - (-10149)\/680)\/((-1)\/(-4))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2198\/9, 0, -0.098, -10?\nAnswer: -0.098","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 10*n + 9. Let t be m(11). Let w = -3.65 - 91.55. Let u = w - -95. What is the closest to -0.1 in 5\/2, t, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2388\/(-3184))\/((-2)\/104).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/6*(12 - -1) + -4.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 15) to base 6\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1373364*w**2 + 1378926?\nAnswer: -2746728*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2*n - 5143, -5*w + 8185 = 5*n - 4665. List the prime factors of n.\nAnswer: 3, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -0.006, -3\/4?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 82?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a day in minutes?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 75\/375 + (-91)\/5 - 8\/8\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)*2*-2)\/(sqrt(12)\/(2*sqrt(216) - sqrt(216))).\nAnswer: -72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -20*q**2 + 6*q + 2. Let j(r) = r**2 + r + 2. Let c(o) = 2*j(o) - 2*v(o). Let h(b) = -2*b. Determine h(c(k)).\nAnswer: -84*k**2 + 20*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/440 and 58\/6548405.\nAnswer: 576259640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t + 368 = 68. Solve t = 3*u + 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 96 + 12 = 0. Let l be g\/(-10) - (-6)\/(-2). Let i = 380\/21 - 56\/3. Which is the nearest to -0.1? (a) 3\/8 (b) i (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/105*-6*(2\/5 + (-861)\/2255).\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 times 5489.378\nAnswer: 219.57512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -576700 + 579379 = 47*g for g.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-219)\/((-22)\/4 - -4). Suppose -5*d - 129 = f. Let l = -11 - d. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 5*r**2 - 3*r. List the prime factors of c(13).\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -8. Suppose -n - 3*w + 21 = -u, -4*w - 4 = -4*n. Round n to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 - -35043030?\nAnswer: 35043012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p + 105*p - 30*p + 2 + 0 - 5 + 1.\nAnswer: 83*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -93*n**3 + n + 15. Is u(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4743 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3603533.\nAnswer: 31, 116243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.39 + -0.71. Let r = o + 4.1. Let y = -455 + 455.4. What is the third biggest value in -1\/2, -5, r, y?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 21*d**2 + 4*d - 45. Let s be l(21). Suppose 13*f = -13 + s. Suppose -f*w - 14*w = -192. Is w a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4 and -17\/101?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 6*b**2 + 1522*b + 96471. Determine z(-124).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -103?\nAnswer: 41.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 815 divide 3767745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 6401*w**3 - 5*w**2 + w - 7. Let b be x(5). Let k(f) = b*f - 29 + 5 + 2. Let c be k(-11). Round c to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -291 + 291, -5*p - 15 = 4*j for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**4 + 68*n**3 + 72*n**2.\nAnswer: -4*n**2*(n - 18)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-25 + 12) - 56\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(2\/31))**6*x**3\/(x**(-2\/55)*x) assuming x is positive.\nAnswer: x**(14362\/1705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191*i + 22542 = 19*i - 117*i for i.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w + 3*w - w + 0*w - 2*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 70051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + j = 2*s + 15, -2*s + 4*j + 42 = 0. What is the highest common divisor of 323 and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/39 in -41, 2\/5, 6, -19?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*h - 34 = -344 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1650600 divided by -262.\nAnswer: -6300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*p + 5*z - 69, 5*p + 0*z - 5*z + 65 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 93 = -3*p, 0*p + p = -4. What is the remainder when 55 is divided by -3 + y + (4 - 8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -1.811, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 528706.\nAnswer: 2, 264353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of 5\/6*k**3 + 0 - 3*k + 0*k**2. Let b(f) = -f. Calculate n(b(z)).\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 2\/9, -0.11, -5\/8?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2415 - 2412. Let w(r) be the first derivative of 191*r**3\/3 - 3*r**2\/2 - r - 1. Is w(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9405.103l in millilitres?\nAnswer: 9405103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 4*o - 1, 0 = -2*o - 12*z + 10*z + 14. Calculate the remainder when 23 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiyxyyxzyi. Give prob of picking 1 z and 1 i.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/3))**(1\/43)*(h\/(h\/(((h*h\/(h\/((h*h*h*h\/(h*h**2\/h)*h*h)\/h)))\/h)\/h)*h))**(-25\/4) assuming h is positive.\nAnswer: h**(-3217\/516)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -69806500 divided by 13961300?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 154023 to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/6*(-351)\/(-66). Let q = -2303\/132 - p. Calculate the common denominator of 25\/6 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.17 - -466293.05.\nAnswer: 466291.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 8408*l - 1277758 - 1277754 + 2555514 as u*l + h and give u.\nAnswer: 8408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-222)\/32 + -60 + 67.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 18 + -25 + 49.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 2 - 2)*(1 + 2 - 4) + 1 + 5 - 3)*(4*z - 3*z + 3*z) in the form n*z + q and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.07 rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 191.6 and 378.\nAnswer: 569.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 207776173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l = 9*l + 15. Suppose 0 = -5*j + 2*p + 177 + 874, 854 = 4*j + l*p. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19947*n + 114 + 9972*n + 9971*n as y + s*n and give y.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/9 (b) -0.3 (c) -5\/17494 (d) -5 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hpp when three letters picked without replacement from pphckckpcc?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-30)\/((-10)\/2 - -3). Let b = v + -13. Differentiate 4 + 2*g**2 - 11*g**b + 3*g**2 + g**2 wrt g.\nAnswer: -10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95264 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -385.6 - -424. Let h = x - 38. Let a = -0.2 - -0.3. What is the closest to a in 4, -0.4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 16, 29, 54, 97, 164, 261, 394?\n\"Answer: l**3 + 6*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1347885719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(21)\/sqrt(3) + 1.\nAnswer: 1 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (1\/24)\/(11\/(-33))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 - 7*n**3 - 119*n - 154*n + 5*n + 270*n**2.\nAnswer: -2*n*(n - 134)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 30, 124, 282, 504, 790?\n\"Answer: 32*g**2 - 2*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*a - 435270 = -146*a + 58*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 2 + -6 + 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hlhllllll. What is prob of picking 2 l and 1 h?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 6:19 PM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 170e38 (base 15) to base 3\nAnswer: 2002202011122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.26232 rounded to one decimal place?\nAnswer: -31.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a factor of 31019449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23955009 to the nearest integer?\nAnswer: 4894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -386*s - 48 = -388*s - 4*k, 4*s - 12 = -k for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147242?\nAnswer: 2, 83, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6046*v + 6046*v - v**2 - 26*v**2.\nAnswer: -27*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 152581 and -7.74?\nAnswer: -1180976.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 14.99688g?\nAnswer: 14996880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2566*k**3 + 2*k + 5259*k**3 - 2695*k**3.\nAnswer: -2*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of 1\/4*a**4 - 2*a + 5\/3*a**3 - 3\/2*a**2 + 1. Calculate the remainder when 38 is divided by q(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1278.6 - 1279. Let x = 3\/65 + -201\/130. Let o(m) = -2*m**3 + m**2 - m - 1. Let n be o(-1). Which is the second biggest value? (a) n (b) p (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -3*v**8\/56 - 31*v**5\/20 - 12*v**2 + 4*v. Find the third derivative of b(o) wrt o.\nAnswer: -1080*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -634361141\/20 + 31724353. Let x = 7881 + -14174. Let t = f + x. What is the common denominator of 57\/16 and t?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 173*x. Let h(j) = 173*j. Give -3*f(s) + 4*h(s).\nAnswer: 173*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -158, 906, 2684, 5176, 8382, 12302?\nAnswer: 16936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -69783*x**4 - 23*x**3 + 42*x**2 - x - 328.\nAnswer: -1674792*x - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is -21152 times -0.059?\nAnswer: 1247.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 694622*j + 2083872. What is h(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13.867 + 0.167. Let p = f + 13.8. Put 1\/7, p, -11 in increasing order.\nAnswer: -11, p, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 + -8. Suppose 0 = -5*p + 2 + y. Find the third derivative of -2*h**2 + h**2 + p*h**4 + 0*h**2 + 2*h**2 wrt h.\nAnswer: 96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 16688994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 3*c = 21, -l + 6*c - 9 = 2*c. Let p(t) = -t**2 + 6*t - 4. Let b be p(l). Suppose 0 = 5*w + 3*f - 79, -b*w - 2*f + 31 = -50. Is w a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16245350?\nAnswer: 2, 5, 11, 29537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*p**3 - 499*p**2 - 8*p - 3649*p**2 + 8*p.\nAnswer: -49*p**3 - 4148*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -95\/22 + 307\/66. Which is the third biggest value? (a) f (b) 1.5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0578203506 take away 31?\nAnswer: -31.0578203506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 442 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2856324 and 514138320?\nAnswer: 514138320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 2*a + 13 - 5, -3*a = 15 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -231 + -78?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -41 in ascending order.\nAnswer: -41, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 290499, 581004, 871517, 1162038, 1452567, 1743104, 2033649?\nAnswer: 2324202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 28552\/42828*3\/(-40)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 7311 to the nearest 100.\nAnswer: 7300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 0) + 7 + (-6 - 2) + -3 - -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**2 - 4604*k**3 - 3 - 4586*k**3 + 9193*k**3 + 2. Let l be 2\/8 + 5\/(-4). Determine o(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2466 - -15?\nAnswer: 2503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 414769796 divided by 2\nAnswer: 207384898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 524 + 36 = 72*l - 592 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 11777164329?\nAnswer: -11777164333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 46*h + 48*h - 4, -b + 10 = 5*h. Solve 118*d - 126*d = b for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 + 3)*(10*h - 2*h + 3*h) + 418*h - 7425 + 7425 in the form r*h + j and give r.\nAnswer: 440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31759 + 62908. What is the derivative of 3*n**3 + v - 3*n**2 - 4*n**2 - 31255 wrt n?\nAnswer: 9*n**2 - 14*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-304 - 6)\/(-1) - 5. Let l = j + -273. Calculate the remainder when 101 is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 203627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 384458*x**2. Let h(a) = 2*a**2. What is h(i(w))?\nAnswer: 295615907528*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148*i + 11145969 + 3240741 = -9250814. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 2 - ((-7 - -1) + 15) - -3?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 4*a - 33 - 40, -4*p + 3*a + 46 = 0. What is the remainder when 35 is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 5*l + 27. Let d be i(-18). Let f be 5\/(-6) - 21\/d. Let v = 4 - 7. Which is the third smallest value? (a) v (b) f (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(-44)*-4*(-3)\/(-15)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ns when two letters picked without replacement from ngnqgggws.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 2*b + 2, 3*a - 4*b - 13 = 5. Let z(d) be the first derivative of d**4\/4 + 4*d**3\/3 - 3*d**2\/2 + 3. Is z(a) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 3:55 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000023229 rounded to 6 dps?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (43972\/(-6))\/(-1*12\/18). Let u = k + -5972. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 - 169\/4. Let r = 8.1 + -9. Let u = -1 - r. Which is the closest to u? (a) s (b) 2 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = h + h - 10, 0 = -2*h + 4. Let t be (-3)\/(-2*1 + w). Let l = -87 + 89. Which is bigger: t or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, i: 3, r: 1}. Give prob of sequence is.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(1\/50))\/b)\/b**(13\/5))**(-3) assuming b is positive.\nAnswer: b**(393\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 97507*d**2. Let y(x) = -x. Calculate f(y(w)).\nAnswer: 97507*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x**3\/5 + 11454*x**2\/5 - 22884*x\/5 = 0. Calculate x.\nAnswer: 0, 2, 1907","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 141.1\nAnswer: 42.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2461118?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*k**2*o**3 + 62*k**2*o**2 + 40*k**2*o + 9*k**2 + 405*k*o**3 - 67509*k*o**2 wrt k.\nAnswer: 10*o**3 + 124*o**2 + 80*o + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.11661112 * -0.2\nAnswer: 0.023322224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1798861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (6 - 15 - (32 - 44)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 82 - 30. Let l = 25 - a. Suppose o + l = 3*o. Calculate the least common multiple of o and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**5\/2 + 280965*d**4\/2 - 16008563*d**3 + 15727599*d**2 + 32017127*d\/2 - 31736163\/2 = 0. What is d?\nAnswer: -1, 1, 113, 280851","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/12 + (-52648)\/(-48) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - d**2 + 3. Let l = 3 - 5. Let r(x) = x**2 + 10*x - 22. Let i be r(-12). Let j = l + i. Give k(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 61*x + 2110. Determine j(-34).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -2*s**3\/13 - 11*s**2\/13 - 12*s\/13 + 1. Let k(n) = 0. What is n?\nAnswer: -3, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 357 * 0.02797.\nAnswer: 9.98529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + h + 13 = 6, 3 = -2*m - h for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20288.\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 5 - 28 = 4*k, 0 = 5*k - 5*y + 20 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4218 = 26*i - 20*i. Suppose -7*p + i = -11. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -148.005 rounded to 1 decimal place?\nAnswer: -148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 533491 to the nearest integer?\nAnswer: 730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60978?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**2 - 3264*s - 160035 = 0.\nAnswer: -47, 1135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 4) to base 6.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h - 1. What is the remainder when 147 is divided by u(17)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 5*z**3 - 2*z**2 + 1. Let y be f(1). Suppose 380 = -a + 384, -4*w + 2*a = -24. Solve -v - 14 = y*n, -w*n = -4*n + 4*v + 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1996322, 1996246, 1996160, 1996058, 1995934?\n\"Answer: -k**3 + k**2 - 72*k + 1996394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 48, 277, 708, 1359, 2248?\n\"Answer: 3*j**3 + 83*j**2 - 41*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 32 = -5. Let q be (-4)\/((-8)\/6) - 0\/(-8). Calculate the highest common divisor of q and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7050 divided by 141\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/(-14) + 558\/4. Let i be (-1 + b\/156)*816. Let l = i - -84. Is 1 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -154.9 - -161. Let k = w - 6.1. What is the nearest to k in 0, -18, -1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q - 1. Let s(k) = 2*k + 1. Let r(p) = 3*p - 2*p + 0 + 2. Let o(v) = 3*r(v) - 4*s(v). Calculate 7*f(z) + 4*o(z).\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -372 in -2\/15, -8, 2\/7, -0.5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-2) + -2)*-1. Let h be (-9)\/3*(-48)\/9. Suppose -h*u + 266 = -2*u. Solve t*a + 0*o - u = o, 1 = -3*a - 4*o for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(405) + sqrt(405)*-1 + -3 + sqrt(405) + 6*(sqrt(405) + -2) + 0 + sqrt(405) + (sqrt(405) - (sqrt(405) + 1)) + sqrt(405) + -5)**2.\nAnswer: -1134*sqrt(5) + 4086","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**(-2\/19)*h)**(-11\/4)\/(h**15*h*h\/(h\/(h**(4\/7)*h))) assuming h is positive.\nAnswer: h**(-13891\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 382002*l - 49 = -382007*l, -3 - 5 = 2*u - 2*l + 12 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6*2*21\/(-6). Let a = -34 + u. Suppose n = -3*o + 19, n - 2*n + 4*o = -47. What is the remainder when n is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**3 + 0*u**3 - u**3 + (-13 + 13 - 2*u**2)*(u + 0*u - 2*u).\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7995, 10883, 13773, 16665, 19559, 22455?\nAnswer: 25353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1502.98 and -0.12.\nAnswer: 1502.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18777 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144 is divided by 67?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -364065, -364210, -364357, -364506, -364657, -364810, -364965?\nAnswer: -365122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 407 and 1102970.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-45)*-3)\/((-16)\/40)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 654491 is divided by 1024.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 833?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 35 (b) 509 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pap when three letters picked without replacement from pppppppavpppp.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*s**3 - 6*s**4 + 0*s**4 + 2*s**4 + 1 + 41*s**3 - 16*s + 2*s**4 to the form p*s**2 + v*s**3 + k*s + f*s**4 + q and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 i when two letters picked without replacement from {i: 3, y: 2, p: 4, u: 2}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 60515809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Suppose 2*o = 2*m + 8, 3*o - m - 6 = o. Suppose 4*i = -3*j + 2*j - 7, -7 = -i - 2*j. What is the units digit of (-4 - i)\/(o\/(-108))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-6 - (-4 - 8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -0*o + 72. Suppose 11 = f - o. Suppose 4*a = f - 15, 0 = -q + a + 64. List the prime factors of q.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -768 by -3.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 387, 392, 397, 402, 407?\n\"Answer: 5*b + 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6185797 and 2007?\nAnswer: 55672173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4*a - 12 = -a, 0 = -t - 3*a + 3. Suppose z - 1 = 2. Suppose -3*r + z = -0*r. Solve t + r = g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7040.268 and -98806187.\nAnswer: -98813227.268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 11:37 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, o: 5, d: 3}. Give prob of picking 1 d and 1 o.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 748 is divided by 108.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47.8 + -50.8. Which is the third biggest value? (a) z (b) 5 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2339 - 2843 = 36*y for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 1:49 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-2) + 1107\/(-810)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -12*t + 188. Let a be c(11). Solve 0 = a*u - 51*u - 5*l + 10, -30 = -5*u - 3*l for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 20, 7*m - 17 = -3*g + 3*m. Let l be 7*(0 + g)\/(-7) + 2. What is the second derivative of -72*r**l + 72*r**3 - 19*r - 24*r**5 wrt r?\nAnswer: -480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of 1 + 24*c + 0*c**3 + 0*c**2 - 35\/4*c**4. What is the first derivative of h(d) wrt d?\nAnswer: -105*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 575 - 571. Let n be (u - (4 + -6)) + -285606. Round n to the nearest ten thousand.\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 14, 7, 454.\nAnswer: -2, 7, 14, 454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -91.2\nAnswer: 36.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/7 (b) 0.08 (c) -0.06 (d) -6 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 11:09 AM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -16*m**3 - 443*m**2 - 7130*m - 36567. Let i(w) = -69*w**3 - 1920*w**2 - 30897*w - 158454. Let u(s) = 30*b(s) - 7*i(s). Determine j so that u(j) = 0.\nAnswer: -24, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 22970 = -5*x, 4*y + 4*x - 10741 - 7611 = 0. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 11104, 22213, 33394, 44683, 56116?\n\"Answer: 6*d**3 + 11067*d + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 455605 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) -1\/2 (c) 147 (d) -4\/29 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4879329 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i - 13. What is r(-6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 1641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(35\/2) + (-3)\/(-120).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence te when two letters picked without replacement from tteyvav.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 31137 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2\/9 - 4640*v\/3 + 427836.\nAnswer: 4*(v - 3177)*(v - 303)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7156584 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1232, 1233, 1236, 1241, 1248, 1257?\n\"Answer: b**2 - 2*b + 1233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32120?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 10:18 AM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4557 and 1519.\nAnswer: 4557","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34*d**3*j**3*t**3 - 702502*d**3*t**3 - 996*d**2*j**3*t**2 - 52*d**2*j**3 - 6*d*j*t**3 wrt d?\nAnswer: 204*j**3*t**3 - 4215012*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 7 - 13)*(-4 - 5 + 5)*((-2*k + 4 - 4)*(0 - k + 0) + 2*k**2 + k**2 - k**2).\nAnswer: 64*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107841*i - 107879*i = 722 for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i + 7*i - 2*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1140 and 8960172.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 9*w + 20. Let x be o(14). Suppose 5*i = -41 + x. What is the greatest common factor of i and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 156153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37*j**3*m*o + 11*j**3*m - j**2*o - 3*j*o - 3*j - 19*m wrt j.\nAnswer: 222*j*m*o + 66*j*m - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**2\/7 - 51658*f\/7 + 59056 = 0?\nAnswer: -25837, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -154 - -153.5. What is the closest to 1\/4 in s, 43, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -171 by -7.\nAnswer: 171\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -543 + 841. Let i be c\/3 - (-3)\/(-9). Suppose -2*j - 25 + i = 0. What is the remainder when j is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8965554 to the power of 1\/3, to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*p**3 + 5*p**3 - p**4 + (4*p**4 + 10*p - 10*p)*(0 + 2 + 1) to u*p**2 + w*p**4 + r*p + k*p**3 + h and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 14*i**3 - 5*i + 1. Let x be (-770)\/693 + (-44)\/9. Let t(o) = -13*o**3 + 6*o - 1. Give x*a(k) - 5*t(k).\nAnswer: -19*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39215\/6 + -38940517\/5958. Is k < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -14, -0.2, 5 in increasing order.\nAnswer: -14, -0.2, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 92781*s - 60. Give u(0).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1212 or 13322\/11?\nAnswer: 1212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 26\/(-39) - -47*(-4)\/(-240). Let y(q) be the third derivative of 2\/3*q**3 + 0*q**4 + 0*q + 4*q**2 + 0 - z*q**5. Differentiate y(j) wrt j.\nAnswer: -14*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 14) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 o when two letters picked without replacement from ooroooooooooooo?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -238 + 241. Suppose -4*y - 1 + 2 = 5*h, 4*h - u = -y. Which is bigger: 1\/126 or y?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d. Suppose r = -i - 66, 3*r - 57 = i + r. Let v be i\/14 - (-2)\/(-4). Calculate t(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/(-143)*66\/(-36)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -360 - -491. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d**2 + 2*d**2 + 2*d + 0*d + 1 + d**3 + 2. Let j = 14 - 15. Let o = -6 - j. Give b(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*b**2 - 147*b**2 - 195*b**2 - 229*b**3 - 21*b**2 + 5*b**2 wrt b?\nAnswer: -1374","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 145\/98 + 1\/49. Let v = j - 19\/10. Which is the smallest value? (a) -18 (b) -4 (c) v (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2331 and 119769.\nAnswer: 2515149","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*i = -2*r + 71*i - 26, -5*r - 53 = i for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7\/63*-453*-6 is divided by 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + g + 7 + 8, -4*g + 4 = 0. Suppose 2*x = -2*x - f. List the prime factors of (-7 + (-2 - x))\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -1166*f**5 - 5923*f**2 - 3853. What is the second derivative of a(j) wrt j?\nAnswer: -69960*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -1546*n + 4629. Determine f(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 88*u**3 + 2*u**2 + 40?\nAnswer: 264*u**2 + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -424.8 to the nearest ten.\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*p - 39*p**2 - 4 + 6 - 4 - 12*p**2 - 47*p**3 + 52*p**2 to the form r*p**3 + z + n*p**2 + h*p and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 4*a + 8*a - 3*a)*(-5*a**2 - 3*a**2 + 2*a**2).\nAnswer: -6*a**3 + 78*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/4, -4\/7, 0.1, 1624010?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -36*j**2 - 1489016*j + 1489016. Calculate u(1).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f - z + 12, -4*z - 14 = -2 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*3*sqrt(85) + sqrt(85))\/sqrt(5) + -2 - 2*(sqrt(136) + 1*sqrt(136)*2)\/sqrt(8))**2 + -1.\nAnswer: -4*sqrt(17) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -6*r + 2. Let g be n(9). Let u = -20 - g. What is the remainder when 126 is divided by u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12115.3l?\nAnswer: 12115300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -10, 6, 28, 56?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2\/32*3*(-2)\/12\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 219\/6 - (-4)\/(-8). Suppose 5*r - r + 156 = 4*a, -a - 2*r = -p. Suppose 6*j + 14 = a. Solve -12 = -4*g - 4*y - 0*y, j*g = -y + 15 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 2 - 4)*(4*y - 2*y - y) + 60*y + 43 - 43 + 10*y - 2 + 2 - 1 as n + v*y and give v.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - 0.9165293.\nAnswer: -0.5165293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3520 = 25*d - 5*d. What is the greatest common divisor of d and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34998 divided by 14\nAnswer: -17499\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 + -81 + (-1 - -22 - 1) - 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 11*a**2 - 10*a - 10. Let i(v) = 5*v. Suppose 130 = -21*u + 22*u. Let r = 128 - u. Let y be i(r). Determine f(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -359*p + 1106*p - 360*p - 367*p.\nAnswer: 20*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 1)*(949 + 55 - 89)*(0 - 2*h + 0) to the form m*h + g and give m.\nAnswer: 1830","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2703*i + 4269 = -47088 for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -264 - 238 - 142 + 2*f**2.\nAnswer: 2*f**2 - 644","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 2.02?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 45*s - 40. Let i be q(44). Solve 0 = -i*c, -k + c + 2 = 2*c for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4769631 and 1589877.\nAnswer: 4769631","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -103 (base 4) to base 6\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6319 is divided by 192?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 11:44 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42367, -42367, -42371, -42379, -42391, -42407?\nAnswer: -42427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zbwabwbzbjnz. Give prob of sequence ja.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 5*h - 8. Let s be p(-4). Let j be (-1 - s)*(-1 - 5)\/(-6). Suppose -3*t - 2*t = 5*m - 295, 0 = -j*m + 5*t + 185. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 - 29755*t**2 + 221354883*t - 221325129.\nAnswer: (t - 14877)**2*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 5*r - 64. Let u be q(16). Is 6 a factor of 820\/u - (-4)\/(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3926536222 - 9*l - 3926536222.\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o + 1. Suppose 2 - 18 = -4*q, -2*u - 3*q + 20 = 0. Let w be s(u). Let l = -3 + 5. Sort w, -3, l in increasing order.\nAnswer: -3, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((-3 - -3) + 1 + 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = n - 136, -n + y - 6*y + 136 = 0. Calculate the highest common divisor of n and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 103 + 95 = 0, -c + 8 = -3*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 325 + 7062*n + 228 - 553 to p*n + l and give p.\nAnswer: 7062","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1747153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*5\/((-5)\/1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 7*p**2 - 6*p**2 + 3*p**2 - 2*p**2. Let h(f) = 2*f**2. Determine h(z(y)).\nAnswer: 8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 3*k**5\/2 + 168*k**4 - 20337*k**3\/2 + 19827*k**2 - 9828*k = 0.\nAnswer: -156, 0, 1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 808643383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 5)*(-23 - 1 + 3)*(-338*q + 666*q + 136*q).\nAnswer: -19488*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*g**3\/5 - 26*g**2\/5 - 32*g\/5 - 8\/5 = 0. What is g?\nAnswer: -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 8 = -11*w. Let q(g) be the third derivative of w*g**5 + 1\/2*g**3 - 1\/30*g**6 + 0 + 3*g**2 + 0*g**4 + 0*g. What is the derivative of q(b) wrt b?\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -672*v - 541. Calculate y(-1).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.02 + -0.25. Let s = -31.618 + 31.348088. Let p = a - s. Round p to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 216 - 119. Let i = -108 + d. Let f(q) = q**3 + 13*q**2 - 14*q - 29. Is f(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11763 - -19156. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-2\/3))**50*(i*i*i\/(i\/(i**(-5)*i*i))*i)\/(i*i*i*i**(3\/7)\/i))**(4\/19) assuming i is positive.\nAnswer: i**(1196\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3200854*b**2 + 734*b + 651?\nAnswer: -6401708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 2*x + 4. Let o(c) = 9*c**2 - 4*c + 8. Let m(d) = 2*i(d) - o(d). Let z(w) = -2*w - 52. Calculate z(m(h)).\nAnswer: 14*h**2 - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u. Suppose w - 9 = 4*t + 3, w + 3*t = -2. Let o(c) = c. Let d(k) = w*y(k) - 5*o(k). Let n(f) = f**2 - 6*f + 1. Give 4*d(z) - n(z).\nAnswer: -z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k - 35*j + 650, -892*k + 895*k + 4*j + 0*j = 60 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2291 - -3222. Suppose 0 = y - 4, 3*y = -3*z - y + v. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in -5, -4, 40, 2\/45, 3\/22, 0.3?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c\/c**(1\/4))\/c))**23\/(c**(2\/5)*c**(-2\/3)*c))**35 assuming c is positive.\nAnswer: c**(11767\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 2:35 AM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*v = 26*v - 9*v - 345 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j\/j**(4\/13))))\/j*j*j*j*j**(-1))\/(((j*j\/j**(-22)*j)\/j)\/(j*j**23*j)) assuming j is positive.\nAnswer: j**(35\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4147a06 (base 11) to base 3.\nAnswer: -111202201012111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 4*k + 8*z - 36, -5*z + 4 = -4*k. Let c be (((-6)\/k)\/(9\/24))\/(-2). Let s = 10 - c. Does 7 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, m: 11, n: 7}. Give prob of sequence ccm.\nAnswer: 11\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15322 is divided by 1966?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/5 (b) 5 (c) -5\/27 (d) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 0) + (0 + -5 - (14 + -26 + 22))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - (sqrt(68)*-1 + sqrt(68))*-5 - (-4*sqrt(68)*1 - sqrt(68) - sqrt(68)))\/(6*((sqrt(324)*4 - sqrt(324)) + sqrt(324)) - sqrt(324)).\nAnswer: 7*sqrt(17)\/207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4917 to 2 dps.\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 divided by 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 21*o**2 - 30*o - 210. Give m(-20).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2 = -0. Let j be (0 + 8 + 1 + x)*1. Solve 2*d - j = -2*o + 7, -3*d + 9 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 177, 178, 179, 180, 181, 182?\n\"Answer: a + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -1. Let y(v) = v**3 - 3*v**2 + 23*v - 9. Let d be y(5). Suppose 11*k + d - 57 = 0. Which is greater: k or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 5*j**2. Let u(g) = -g**3 + 6*g**2 + 19*g - 22. Let c be u(8). Let r(h) be the first derivative of 7 + 0*h - 1\/2*h**c. Determine r(f(t)).\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 125781 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000017714657 rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 32*y + 260. Let g be h(-8). Suppose g*i - 3*n - 13 + 11 = 0, -4*n - 5 = -3*i. What is the closest to i in 4, 1, -1\/2, 0.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -26*b**2\/11 + 141150*b\/11 - 260496\/11 = 0.\nAnswer: 24\/13, 5427","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 8. Solve -2*i = -t*x + 10, 10 = i + 2*x + 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 6:23 PM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(2 + (3 - 0 - 3))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2866737, -2866741, -2866747, -2866755, -2866765?\n\"Answer: -f**2 - f - 2866735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of -q**6\/120 - q**5\/30 - q**4\/6 + q**3\/2 + 4*q**2. What is the tens digit of t(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 2\/5, -0.1, -4, -0.6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.782507 rounded to 1 decimal place?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 2*i**2 - i - 2. Let p be j(3). Let d be 1 + (-1 - (1 + -1)). Solve p = n - d for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -14*p**3 - 2*p**2 - 4*p - 2. Let j be l(-1). Solve -j*w = -23 - 19 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of 2*y**2 + 0*y**3 + 0*y - 3\/10*y**5 + 0*y**4 + 0*y**6 + 0 + 1\/42*y**7. Find the third derivative of s(p) wrt p.\nAnswer: 120*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -5*v**2 + 47*v + 11. Let j be p(13). Let m = j + 225. Solve -2*b + m*k = 0, b + 2*k + 6 = -0*k for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 3*q - 24960, 5*v + 140*q - 135*q - 124850 = 0. Is v a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/255 and -64\/27.\nAnswer: 2295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 e when four letters picked without replacement from ierieeereeefiieiei.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23056 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**3 + c**2 - c**2)*(-3 + 2 + 3)*(-3*c - c + 2*c + (1 + 4 - 3)*(-5*c + 3*c + c))*(15 + 1 - 1).\nAnswer: 360*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -182*l - 939. Calculate the remainder when z(-15) is divided by 138.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297 at least 308?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k = 9*k + 10. Let z(h) be the second derivative of -5*h**3\/6 + 7*h**2\/2 - 3*h. Does 19 divide z(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75919200 to the nearest integer?\nAnswer: 8713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -272 (base 8) in base 6?\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 2 (c) 1124 (d) 1 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(153)*4 + (sqrt(153) + -3)*-5)**2*-1.\nAnswer: -26082 + 1170*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of g**4\/12 + g**3\/6 + 6200*g**2 - 4*g. Let z be c(0). Round z to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136*46.\nAnswer: 6256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -436264, -436485, -436692, -436879, -437040, -437169, -437260?\nAnswer: -437307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.28 - -0.4. Let v = 4.88 + s. Let w = -4.8 + v. What is the nearest to -1 in 3\/5, 0.5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 3:07 PM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of l**6\/2 - 6*l**5\/5 - 39*l**4\/4 - 10*l**3 - 1127. Suppose m(u) = 0. Calculate u.\nAnswer: -2, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p**(-19)*p))\/(p**4*p*p))\/((p\/p**(-4))\/(p**(-16)\/p)) assuming p is positive.\nAnswer: p**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3722127.\nAnswer: 3, 1240709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 173 + -79. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7482 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*(2 + (-3)\/2). Suppose -w - 3*w = u. Is 1 + 17 + -3 + w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-24 - 1)*70\/25. Let q = 181 + t. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 631957243?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -20273 divided by -6?\nAnswer: 20273\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = p - 45. Suppose 0 = 5*l - 3*l. Suppose -2*g + 20 + 16 = l. What is the greatest common factor of g and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2 + 120*g - 115.\nAnswer: -5*(g - 23)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -81980, -163965, -245950?\n\"Answer: -81985*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 4*s + 14. Let h be g(20). Let q = -94 + h. What is the smallest value in q, -0.02, 5, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 5407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 299566, 599706, 899846, 1199986, 1500126, 1800266?\n\"Answer: 300140*l - 574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/194 and ((-12)\/(-6))\/((-16)\/404).\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000177305 to 7 decimal places.\nAnswer: 0.0001773","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p + 4*y - 4, 4*p + p + 20 = -y for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of 5*o**8\/448 - o**7\/40 - 11*o**6\/160 + 7*o**5\/80 + 3*o**4\/16 + 82*o**2. What is c in y(c) = 0?\nAnswer: -1, -3\/5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -28*a**3 + 9*a**2 + 64*a - 4. List the prime factors of f(-5).\nAnswer: 19, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 5*u - 21, -y + 2 = 2*u - 10. Suppose -2*k + 0*k = 0. Which is greater: k or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 57, 240, 547, 978, 1533, 2212?\n\"Answer: 62*l**2 - 3*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 112222100110100 (base 3) in base 13?\nAnswer: 1858785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*n + 1 = 0, -6*t + 2*t = 3*n - 15. List the prime factors of 1 - (-4 - -1)\/t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 153169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 27\/(-29) - 1658\/24041. Let b(j) = -4*j + 29. Let i(q) = q + 1. Give x*b(c) - 3*i(c).\nAnswer: c - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 2*n**2 - n. Let l = 11 + -14. Let h = l + 10. What is the remainder when h is divided by m(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 14725.34 milligrams?\nAnswer: 14725340000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3554935 is divided by 96?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4178296 millilitres in litres?\nAnswer: 0.0004178296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -5*p - 3*b, 4*b = 11 + 5. Suppose p*z - 20 = -v, -5*z + z = 2*v - 28. Is 11 bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 297*y**2 + 45*y. Let p(c) = -27*c**2 - 4*c. Let z(u) = -45*p(u) - 4*r(u). Let i(m) be the second derivative of -m**4\/6 - 48*m - 2. Determine i(z(g)).\nAnswer: -1458*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.051 + 8.051. Which is smaller: h or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5 = 3. Let d(w) = 3*w - 2. Let n(u) be the second derivative of u**3\/6 - u**2\/2 - u. What is x*d(f) + 2*n(f)?\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-18))\/(715\/1170).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) + ((1 + sqrt(832))*-2)**2 - sqrt(832)) + (sqrt(832) - 1*(0 + sqrt(832))**2).\nAnswer: 72*sqrt(13) + 2500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 57 (b) 4 (c) 0 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/4548334 and 17\/266.\nAnswer: 4548334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -n - 2 - 1, 3*w = 5*n - 13. Put w, -2, 2, 0 in increasing order.\nAnswer: -2, w, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -j**4\/24 - j**3\/6 - 4*j**2. Let h be k(0). Find the common denominator of h\/4 + 327\/(-132) and -50.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + p = 12, 7*h + 5*p = 43*h - 0*p + 19 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (-1 + 3)) + 6 + 9 - -15.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3f5 - -fb0?\nAnswer: 13a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 6*k - 620. What is the remainder when k is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 8518.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 2*u**2 + 4*u + 3. Let l be s(-3). Let v = -2203\/4 + 1657\/3. Let o = -1\/12 + v. Which is the closest to -1? (a) 5 (b) l (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 3419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*6\/9)\/(1082\/68166)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12010*n + 35974*n - 12002*n - 11959*n.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9136, 9164, 9164, 9118, 9008, 8816, 8524, 8114?\n\"Answer: -3*g**3 + 4*g**2 + 37*g + 9098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022003313 (base 4) in base 5?\nAnswer: 34201401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75204.71 millennia to years.\nAnswer: 75204710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005065594497 rounded to 6 decimal places?\nAnswer: -0.005066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8467 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h + 7. Calculate k(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 133534 (base 9) to base 16\nAnswer: 13dcb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 858.1354um in meters?\nAnswer: 0.0008581354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**2\/3 - 114125782*s\/3 = 0.\nAnswer: 0, 57062891","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000095553149 to six dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4414771*d**3*j - 3738609*d**3 - 4*d - 2*j**4 wrt j.\nAnswer: 4414771*d**3 - 8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -31851 and 0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -2134\/9811 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3. Let u(k) = k - 22. Give -3*u(a) - 21*z(a).\nAnswer: -3*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 0 + 11 - 28*g - 3*g**2 + 4*g**2 + 20*g. Give l(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((0 + sqrt(200))*6)**2 - sqrt(200)) + -3 + (((sqrt(200)*-2*5 - sqrt(200)) + 3*(sqrt(200) + -1))*6)**2.\nAnswer: 17330*sqrt(2) + 425121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 6*i**2 - 6*i + 15. Let r be b(5). Let g(w) = w**2 - 14. Let l be g(5). Solve r = -l*n + 6*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-5))\/(12 - (-8 - -22))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49 - -74. Suppose -2*v - 8 + 21 = u, -p = -u - 5*v. What is the tens digit of 77\/u - 6\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than 127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*n + 2696 + 1468 = -71*n - 183 for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.17 - 213723.\nAnswer: -213723.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - m + 2. Let y(u) = -5*u + 41. Let s be y(8). Let z be a(s). Solve z = -5*t + 5*o + 59 - 24, 1 = 3*t + 2*o for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51736883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 5*b. Give h(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 20 = 4*x, -13*r - 4*x = -8*r - 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34*-0.01078.\nAnswer: -0.36652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -632 and 18.\nAnswer: -614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 315 + -319. Let j(w) = -w**2 + w. Let a(m) = 3*m**2 - 9*m + 7. Let q be (1\/(-2))\/((-1)\/(-2)). Let x(u) = b*j(u) + q*a(u). Calculate x(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.1 and 416?\nAnswer: 414.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4*r + 9 = 0, 18 = 3*j + 3*r - 0. Suppose -3 = 3*n, 2*o = -0*o - j*n + 695. What are the prime factors of o?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 2 - 2 - 1 + 5 + (0 + 0 - 2)*(4 - 4 + 2) + (-133 + 48 + 33)*(0 + 1 + 1))*(-4*l**2 - 4*l**2 + 7*l**2) to g + u*l + x*l**2 and give x.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.5498 + -0.3498. Let p = -4 - 1. Sort w, p, 0.6.\nAnswer: p, w, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -4*y - 34, 3*k + k + 4*y + 48 = 0. Let q = k - -11. Suppose 42 - q = 2*w. Is 15 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2172 - 2171.8. What is the nearest to k in 0.5, 67, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4, -34, -86, -160, -256?\n\"Answer: -11*t**2 + 3*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**3 + 6307800*p**2 + 6307796*p = 0. Calculate p.\nAnswer: -1576949, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1902)\/(-42) + (-4)\/14?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*y**2 + 183 + 187 - 370.\nAnswer: 55*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f - f - 4*f)*(4 + 3*f - 4 + (3 - 2 - 4)*(10 - 10 - 3*f)) in the form r*f**2 + h + j*f and give r.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -5 - (-2 + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 - (5 - (7 + -2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 460 and 1300?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 1. Let j be h(-2). Let p = -10 + 14. Sort j, p, -1 in ascending order.\nAnswer: -1, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(378\/(-240)) - -6*10\/(-135)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -66, -227, -458, -729, -1010?\n\"Answer: 5*s**3 - 65*s**2 - s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**2 + 6*l - 7. Let h(p) = p**2 - 3*p + 4. Give -5*h(i) - 3*m(i).\nAnswer: i**2 - 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-5*(2*sqrt(77) - sqrt(77)))\/((2*sqrt(99))\/sqrt(9) - (-1*sqrt(704) - sqrt(11))) + 1.\nAnswer: -30*sqrt(7)\/11 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 134?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 108192\/13 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (29*f - 5*f**2 + 2*f**2 - 53 + 57)*(2 - 2*f - 2) to m*f**3 + y + i*f**2 + b*f and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7716 + -7669. Calculate the highest common divisor of i and 4747.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 5:53 PM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q + 6. Suppose 4*t + 12 = 0, 3*b + 0*t - 42 = t. Suppose b + 17 = 5*l. Calculate m(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 3*k - 9, 0 + 9 = -h + 2*k. Let b be 0\/(0 - (-2)\/(-2)). Let w(j) = -8*j**3 + 6*j + 1 + b*j - j - 4*j. Determine w(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 8630*y + 34460. Give o(-4).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w**4 - 1625*w**3 - 166470*w**2 - 6912540*w - 101214360 = 0.\nAnswer: -178, -54, -39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.1089 rounded to two decimal places?\nAnswer: -3.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22254\/12 + 3 - (-5)\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2523 + -2149. Suppose 0 = 6*o - 36 - 168. What is the greatest common divisor of u and o?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/18*(1512\/(-1656) - 4\/46). Which is the closest to 0? (a) 6.15 (b) y (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18846\/(-172755))\/(4\/10).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 75 = -45. Suppose h = g + g. What are the prime factors of ((-4)\/g)\/(9\/(-1260))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 229062 and 229062?\nAnswer: 229062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2698522435 divided by -5?\nAnswer: -539704487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1176 (b) -1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003096 rounded to 4 decimal places?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/2 of a litre in millilitres?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -2210222?\nAnswer: -2210212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -24, 12, 29, -14 in increasing order.\nAnswer: -24, -14, -3, 12, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 665.8384 millimeters?\nAnswer: 0.0006658384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -141702759 less than or equal to -141702758?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 10 = -4*s - 28, -2*o + 6 = -4*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -54.8 or -22.95?\nAnswer: -54.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 b when four letters picked without replacement from {h: 4, b: 14}?\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1533)\/(-91) + 12\/78. Let r = 3.51 + -2.51. Which is the third biggest value? (a) 4 (b) m (c) r (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*8\/8)\/((-6)\/1).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wnn when three letters picked without replacement from zwnwwwniuuwpzwwiuunn.\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 12 = 0, 13643 + 7458 = b - 4*j. List the prime factors of b.\nAnswer: 3, 7039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1722426408 to the power of 1\/3, to the nearest integer?\nAnswer: 1199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 7*v + 3. Let o(m) = -m**2 - 4*m. Let i be o(-2). Suppose 3*x - 1 = -z, 0 = -3*z + i*x + x + 45. What are the prime factors of y(z)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + 0 + 2 + -4. Let x(z) be the third derivative of -85*z**4\/2 + 3*z**2. Let q be x(n). What is q rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 86027*w - 4 + 15*w**2 + 5 - 85983*w as j*w + d + t*w**2 and give j.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*u - t = 40*u - 23664, 3*u = -9*t + 23688. Calculate the highest common factor of 66 and u.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7 + 9\/(18\/(-4)). Is x less than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(2\/3)\/r)\/(r*r\/r**(1\/4)*r)*(r\/((r\/(r\/(r*(r**0*r)\/r)))\/r*r)*r)**(-1\/3))**(-1\/8))**11 assuming r is positive.\nAnswer: r**(451\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 + -22. Let x(j) = -j**3 + 5*j**2 + 2*j - 7. Let v be x(t). Suppose -z + 1508 = v*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - (3 - 6)\/(-3). Suppose -l*n + h + 90 = 0, -4*n + 5*h - 46 = -5*n. Is n a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 27955028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*d - 5*w, -2*d - 2*w = d - 17. Suppose -3*a + 4*r = -317, a + r = d*r + 111. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12316 is divided by 6147.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -3*d - 3*k + 29, d - 4*k = -8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*o**3 + 111*o - 2*o**2 + 5*o**2 - 108*o.\nAnswer: 85*o**3 + 3*o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 429447638?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 5:05 PM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**12*a*a**(2\/5)*(a*a*a\/(a\/(a**(-4\/7)*a))*a*a)\/a*a\/(a**13*a*a) assuming a is positive.\nAnswer: a**(99\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 12*g + 188. Let z be s(-21). What is the remainder when (270\/24 - 1)\/(z\/(-4)) is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -53 + -42. Let y = x - -133. Is y a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*((-2)\/12)\/1*10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 63 - -42. Let v = -52 - -58. Suppose -v*p + y = -p. List the prime factors of p.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2083689 and 9115?\nAnswer: 1823","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -122560, -245113, -367666, -490219, -612772?\nAnswer: -735325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*u**3\/3 + 46*u**2\/3 - 20*u\/3.\nAnswer: 2*u*(u + 5)*(5*u - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17171244679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 269641, 269757, 270077, 270703, 271737, 273281?\nAnswer: 275437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4998098 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - ((-3 + -9 - -2) + 3).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -16*(-1)\/4*2. Suppose k = 3*u - u. What is the smallest value in 0.4, 5\/2, u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 0*r = 5*h - 15, r = -h - 9. Let n = -6 - r. Suppose n = -l - 1, -3*l = k - 6*k + 523. Does 26 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s + s - s)*(-2*s**2 + 3 - 3) + 23*s + 61*s + 25521*s**3 - 25514*s**3 in the form r*s**3 + j + u*s + a*s**2 and give u.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -176*h**2 + 14380*h.\nAnswer: -4*h*(44*h - 3595)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 - 18 - (-6 - -10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 185 - 182. Solve -b*d + 11 = n - 2, 3*d - 12 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -7, -14, 1, -1 in increasing order.\nAnswer: -14, -7, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**18\/d)\/((d**(5\/9)\/d)\/d))\/((d\/((d**(-7)*d)\/d))\/(d**(-2\/71)*d)) assuming d is positive.\nAnswer: d**(7295\/639)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1))**12*(r**(-8\/3))**(11\/6) assuming r is positive.\nAnswer: r**(-152\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 963 and 18.\nAnswer: 1926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 143*20.3\nAnswer: 2902.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 2\/9, -7, -2\/23, 12\/17?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7377*-149.7.\nAnswer: -1104336.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -27 + 17 + 43 + 23*w**3 - 14*w**3 in the form y*w + p*w**3 + q + j*w**2 and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -10*v**2 + 2 + 4 + 19*v**2 + v**3 + 4 - 27*v. What is the thousands digit of g(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - m = -19, 3*f - 8*f + 4*m + 29 = 0. Let s be 1\/(-3) - 1\/(-3). Suppose s = y - f + 17. Let l(i) = i**3 + 13*i**2 + 11*i - 8. Give l(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.08 (b) -2 (c) 1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -4, -1191485?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 534 + -531. What is the nearest to -1 in 0.2, 139, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3475, 14215, 32111, 57157, 89347, 128675?\nAnswer: 175135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(162)*1)\/(-3*sqrt(225)))**2.\nAnswer: -4*sqrt(2)\/5 + 102\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**5\/11 - 77804*f**4\/11 + 1946206*f**3\/11 - 5605992*f**2\/11 - 19619208*f\/11 = 0.\nAnswer: -38927, -2, 0, 6, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 2*n + 6. Let x be ((-3)\/2)\/((-1)\/2). Let q be f(x). Solve q*g - 22 = -10 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18170 is divided by 207?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/10 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 4*a - 1 - 1, 0 = 5*a - 5. Let l be (26\/11)\/o - (-54)\/297. Let y(u) = -2*u**3 + u**2 - 1. Let p be y(1). Which is smaller: l or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8860712284 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 13. Let l = 5 + -3. Suppose 2*q**4 + 2*q + 4 + q**l - 4*q**2 - 2*q**3 - i*q**2 = 0. Calculate q.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6588 and 1152.\nAnswer: 210816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and (-22)\/77 - 79*1\/(-7).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18673 + -18669. Solve 239 = b*d + 267 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 25. Let s = -1 - 2. Let f(v) = -5*v**2 - 4*v - 4. Let o(g) = -9*g**2 - 7*g - 7. Give s*o(q) + z*f(q).\nAnswer: 2*q**2 + q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 563 is divided by 24?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*s**4 - 2*s - 14*s**4 - 15*s**4 + 4 + 2*s**2 + 11*s**4 + 2 + 6*s**3 to y*s**2 + d*s**3 + q*s**4 + z*s + a and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0011855 to 5 decimal places.\nAnswer: -0.00119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 935.4758l to millilitres.\nAnswer: 935475.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102\/4 + 4 + (648\/48 - 16).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*t = 58 - 94 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 101*f**2 + 464*f + 4649. What is i(-105)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1896\/(-9)*(11 + -3 - 5). Let m = u + 5668\/9. Calculate the common denominator of m and -25\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 468 and 10896132.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -t - 35. Suppose 0 = -5*n - 3*k + 15, 4*k + 2 = 3*n - t. Suppose -15 = n*w, -4*g + 0*w + 322 = 2*w. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 4:51 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 15) to base 7\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17\/58 - 2547\/116. What is the common denominator of 18 - 17 - (-76)\/(-46) and b?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 1.2 (c) -46 (d) 2 (e) 1\/44 (f) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 116918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*h, -3*o + 5*h + 51 = -6. Let v be ((-2)\/(-36))\/(3\/o). Determine u, given that 0*u + 2\/9*u**3 + 0 + v*u**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 5*n - 3. Let k be x(4). Suppose 5*c - 2 = 3*u - k, c = -4*u + 14. Suppose 0*r = -4*r. Solve r = -s - u*s + 12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a - 154 + 181 + 44 + 8.\nAnswer: -a + 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 40 = -5*h, -4*h - 3 = -2*s + 19. Let b be (h*(-65)\/(-30))\/((-2)\/8). Find the third derivative of 0*i**6 + 2*i**6 - b*i**2 + 45*i**2 wrt i.\nAnswer: 240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -15 + (50 + 94 - 43)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9928 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 1263?\nAnswer: 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2)\/((q*((q\/q**(-11))\/q)\/q)\/q))\/((q*q**7)\/(q*q*q**(3\/17)\/q)) assuming q is positive.\nAnswer: q**(-320\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 509570, 509597, 509624, 509651, 509678, 509705?\nAnswer: 509732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8345287?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2*h + 100 + 10, 2*w + 2*h - 214 = 0. Let v be ((-2)\/4)\/(w\/(-32)). Sort 2\/3, v, 4 in decreasing order.\nAnswer: 4, 2\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-7)\/6)*28\/(-368)*(-1000)\/(-1000)\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1214 divide 6187758?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hl when two letters picked without replacement from {h: 1, q: 1, l: 1, x: 3, n: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 102520.3 rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/20 - (-108)\/(-30)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.046, 0.3, 0.552, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/26772102 and -87\/424.\nAnswer: 107088408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4*p + 34. Let w be d(-7). Solve -w = 2*z - o, 0 = -4*o + o - 6 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1470259 and 2380.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-28\/9)\/t)**(-45)*t*t\/(t\/t**(1\/4))*t\/t**(-23) assuming t is positive.\nAnswer: t**(841\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 986105 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6273\/8 + -794. What is the common denominator of (-3459)\/(-450) + (-12)\/12 - 6 and y?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -347*-62385.7\nAnswer: 21647837.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8 is divided by 10\/((-3 + 1)*-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17920, -35828, -53728, -71620?\nAnswer: -89504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 44028 - 20869. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44475 + -29971. Is 49 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -16, -h - 4*h = -2*m - 2. Suppose 4*w - 8 = h*p, -4*p + 29 = 3*w + 1. Solve w*u**4 + 0*u**3 + 2*u**5 - 3*u**5 - 4*u**3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16202113 (base 7) to base 13.\nAnswer: 429a30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47047 + 13492 = -5*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*x + 28728 = -21*x. Calculate the highest common divisor of 804 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 30. Solve -6 = -2*c + 4*q, 4*c - 4 + d = -4*q for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3)*g*g*(g*g**2*g)\/g)**(-3\/17) assuming g is positive.\nAnswer: g**(-6\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 3*v - 5 - 10, 7*v = -5*o + 35. Solve 2*a - f + 12 = o, 5*a + 7*f + 15 = 2*f for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o**3 + 12*o**2 + 10*o - 2. Let q be p(-10). Let d = 11315\/6 + q. Calculate the common denominator of 13\/20 and d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68931910?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 l when four letters picked without replacement from {i: 3, m: 11, l: 4}.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**2 + 4*k**2 + k**2 + (14*k + 32*k + 63*k + (-4*k - 6*k - 2*k)*(3 - 1 - 1))*(-6*k - 2 + 1 + k).\nAnswer: -484*k**2 - 97*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -120001 times -982\nAnswer: 117840982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 11, -399, 0 in ascending order.\nAnswer: -399, 0, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 32642537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -40*t**2. Let r(g) = -265476*g**2. What is o(r(s))?\nAnswer: -2819100263040*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.731 and 0.01.\nAnswer: 0.00731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 295022?\nAnswer: 2, 7, 13, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**3 - 3*o + 3*o + (-o - 2*o + o)*(o**2 - 2*o**2 + 3*o**2).\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47078.74 kilometers to meters.\nAnswer: 47078740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 5, -26, 4, 24, -615 in decreasing order.\nAnswer: 24, 5, 4, -1, -4, -26, -615","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -173265.\nAnswer: 2\/173265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-51)\/(-12) - 4\/16. Let l(r) = r - 3. Suppose 0 = -4*m - 4*a - 12, -4*m - 5*a - 4 - 12 = 0. What is the remainder when m is divided by l(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3045 is divided by 64?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 - 15. Suppose h*z = 8*z. Does 3 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**3\/5 + 16*g**2 - 86*g\/5 - 164\/5 = 0. What is g?\nAnswer: -41, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**2 - 2*x + 1165. What are the prime factors of q(0)?\nAnswer: 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wiiirobiio. Give prob of sequence iwr.\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8752597 to three dps.\nAnswer: 0.875","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00108420791 rounded to seven decimal places?\nAnswer: 0.0010842","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 85 = -4*k, -15 = -3*k - 3*t + 45. Let d be (24\/k)\/(-4)*5. Which is the closest to 0? (a) d (b) -0.2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 4*f + 429, 287 = -4*d + 6*d + 3*f. List the prime factors of (d\/2)\/((-4)\/(-8)).\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f - 16*f = 83*f + 87. Suppose -r = r. Let w be -29 + (-3 - r) + 4. Put f, w, -2 in decreasing order.\nAnswer: f, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 33758988 = 2*n + 3*n, n - 3*k + 6751818 = 0. What is n rounded to the nearest 10000?\nAnswer: -6750000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.94 - 0.752. Let i = j + -0.06. What is i rounded to 2 dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 966 and 368.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 + -27. Suppose 5*b = 3*b + 2, 9 = -2*h - q*b. Let o(g) = -g - 7. Determine o(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -9*u**2 + 6*u. Let y(m) = -17*m**2 + 11*m. Suppose 11767 = -24*c - 401. Let p = c - -503. Determine p*y(q) + 7*l(q).\nAnswer: 5*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 98 and 1834?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-16\/5)*x**(-19\/5)*(x**25*x)**(3\/10) assuming x is positive.\nAnswer: x**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160483*i**2 + 160479*i**2 - 320959*i**2 - 33*i.\nAnswer: 3*i**2 - 33*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wjojjwjowj. What is prob of picking 2 o and 2 w?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 58 + 59 + 63 + r**2 - 180. Let j(i) = -6*i + 11. Calculate b(j(o)).\nAnswer: 36*o**2 - 132*o + 121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 - (3 - 24\/4). Let u be (13\/(-26))\/(h\/432). What is the highest common divisor of 27 and u?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 9 = -b, -3*b - 2*x + 192 = 191 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -4, 305 in descending order.\nAnswer: 305, 6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 22, 4, 3\/8, -113?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/4 of a century?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 236.1 + -233.1. Put 0, -4, z, 26 in descending order.\nAnswer: 26, z, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 18079 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 32269338979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 258447289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l**2 + 132*l - 634*l + 4*l**2 + 4*l**2 + 15*l**2.\nAnswer: 17*l**2 - 502*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 4074437?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 305.2 + -305. Which is the closest to z? (a) -9 (b) 3\/4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k**2 - 1. Let i be m(1). Suppose -i*x = 2*l + 19 + 15, 0 = 2*l. Let w = x - -28. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/12*-78*318\/(-1431)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*w + 5. Let n = -10 + w. Let j = -1595\/708 + 1\/354. Which is smaller: n or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 402 + -202. Let s = i - 195. Which is the third biggest value? (a) -0.5 (b) -1\/18 (c) -3\/2 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d*m**3 + 4*d*m**2 + 12*d*m - 2*d + 31*m**2 + 9 wrt m?\nAnswer: 12*d*m + 8*d + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - (-7 + (14 - 13))) + (40 - 11)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*d + 43*d - 18760. Calculate the remainder when d is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.321 - -0.5\nAnswer: -2.821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 19*j**4 - 68*j**3\/3 - 4*j**2 + 44. Factor f(i).\nAnswer: 4*i*(i - 1)*(19*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -12*k + 219. Let n be y(20). Let r(h) = -11*h - 167. What is the units digit of r(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 455*a = 441*a + 22400. Does 40 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a10 (base 11) to base 6.\nAnswer: -5353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*m = -2*c + 12*m + 18*m - 10, 7*c + 17 = 5*m for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 1200?\nAnswer: -1140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -246636 divided by 68\nAnswer: -3627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308*p + 2523 - 9015 = -233*p for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -39 + 49065?\nAnswer: 49027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -28454, -28433, -28398, -28349, -28286?\n\"Answer: 7*a**2 - 28461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from plslsspbpepepepslpe. Give prob of sequence bs.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 q when four letters picked without replacement from qkjjzjzqjjbqbbf?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7114074 and 620922?\nAnswer: 1434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 134?\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 25, -9, -3 in decreasing order.\nAnswer: 25, 1, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.72 from -17.88.\nAnswer: -18.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 6 + 4*x + 2*x**2 - 7*x - 3. Let l(m) = 10*m**2 - 14*m + 14. Calculate -3*l(g) + 14*u(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k + 2*k - 6*k. Let s(d) be the first derivative of -3*d**2\/2 + 3. Calculate s(a(h)).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3*8\/18*(-30)\/(-80)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4498 or -4504?\nAnswer: -4504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 0 = 2*d + 19, 171 = -2*d + d + 10*l for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -6*i**2. Let t(v) = 57*v**2. Calculate t(c(q)).\nAnswer: 2052*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -2*b - 5, -3 = -3*b + 4*b for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 1:47 AM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 173.4001 - -158368.92.\nAnswer: 158542.3201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 15477*q**2 + 93201*q + 2040. Give t(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2981858053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 8*k - 1. Let a = 6 - 12. What is the tens digit of z(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15960 and 312?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 4, -19, -62, -131, -232, -371, -554?\nAnswer: -787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 3*v + 10 = 0, 4*y + 3*v - 8 = 3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*x**2 - 36*x**2 + 9*x**2.\nAnswer: -46*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 - 28293512*i + 50032676330884.\nAnswer: 4*(i - 3536689)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 + 28084a8?\nAnswer: 28084a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 - 211. Let j be i\/(-49) - 4\/(-14). Suppose 200 = p + j*p. Calculate the highest common factor of p and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-126)*14*(-15)\/(-3)*3.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q + 3. Suppose 0*i + 7 = i. Let w be (-153)\/(-63) + (-3)\/7. Let z(d) = -13*d - 10. Calculate i*u(t) + w*z(t).\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6634 + 311b?\nAnswer: 9751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 24*a**2 + 24*a + 28. Let v be p(-23). Sort 0, 4, v, -12.\nAnswer: -12, 0, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(147) - (sqrt(147) - (-1 + sqrt(147)))) + -1 - (sqrt(147) - 2*(0 + sqrt(147))))*1)**2.\nAnswer: -896*sqrt(3) + 9472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 377141*-0.3.\nAnswer: -113142.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*o + 8 = -77*o - 4*f, -3*o + 18 = -5*f for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**5\/k*k\/((k**(-6\/11)\/k)\/k))\/((k**16*k)\/k*k**(-11)) assuming k is positive.\nAnswer: k**(28\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52\/87 + -2\/29. Let g = 0 + -2. Sort w, g, -0.1 in descending order.\nAnswer: -0.1, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4320*v**2 - 176. Let a(j) = -214*j. Calculate x(a(s)).\nAnswer: -197838720*s**2 - 176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 226 + 94 = 4*p. Suppose 8*o = 56 + p. List the prime factors of o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 - 14. Suppose -l = 2, -2*l + 94 = 2*f - 7*l. Calculate the remainder when f is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - (0 + 6)) + 5 + (16 - 35)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5 = 3*j, y + 2*j = 5*y - 30. Suppose -p = i, -4*i - y*p = 1 + 1. Suppose r + 2*u - 6*u = -13, 0 = r + 5*u - 23. Solve -r = s + i*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 12 = -4*p, 0 = -2*p - 2*x + 5*x + 6. Suppose 3*y - 2*h = 20, 2*h + p = -y + 7. What is the highest common factor of 48 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/10*1*-2\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 11*y - 8. Suppose 5*s - 26 - 24 = 0. Let t be z(s). Let l = -22 + 32. Calculate the greatest common factor of t and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 0*j - 20*j)*(0 + 3 - 4) + (0*j + 0*j + j)*(1 - 2 + 3) + j - 5*j + j.\nAnswer: 22*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 47*n + 730. What is the remainder when m(25) is divided by 71?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 0 - (0 - 21)) + 15 + -14.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -368*y + 1169. Calculate q(3).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 829*b**4*i**3*q**2 - 3*b**4*i**3 - 7*b**2*i**2 - b*i**2*q**2 - 18*i**3*q wrt b.\nAnswer: 19896*b*i**3*q**2 - 72*b*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 29*d**3 - 56*d**2 + 4*d + 44. Let b(m) = 8*m**3 - 14*m**2 + m + 11. Let j(h) = -11*b(h) + 3*i(h). Calculate j(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3628*b**3 + 4*b**2 - 2*b - 3591*b**3 - 163 - 19 + 7224*b**3 in the form d*b**3 + a*b**2 + m*b + v and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8458 - 8458.2. Let y = 53 - 57. Which is the nearest to x? (a) 4 (b) 0.2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -30, 351 in descending order.\nAnswer: 351, -2, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 4*h**2 - 5*h - 3. Let c be g(5). Let n = -1 - c. Let a(b) = -b + 4. Let x be a(n). Solve 2*l = -x*p + 4*p + 8, -5*p - 14 = l for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8854990.\nAnswer: 2, 5, 43, 20593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of o**6\/60 - o**5\/20 + 14*o**2. What is the third derivative of f(h) wrt h?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2404 (base 9) to base 16.\nAnswer: 6fa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 463*p**3*v**4 - 22*p**3*v - 4*p**3 - 19*p*v**6 - 3*p*v**2 + 8*v**2 wrt v.\nAnswer: 11112*p**3*v - 2280*p*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45 - 28. Is 2 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7228408*c**3*v**3 - 8726*c**3 - 2*c**2*v**3 - 896*c**2*v**2 wrt v.\nAnswer: -43370448*c**3 - 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-5 + 1*sqrt(325))*-4 + -5 + 0)**2.\nAnswer: -21000*sqrt(13) + 141025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 18 - 2 = 0. Find the common denominator of 3\/j*9316\/153 and -15\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 388055.7l?\nAnswer: 388055700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 = 323*g - 226*g. Which is the biggest value? (a) -2365 (b) 3 (c) -4 (d) g (e) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -758566, -758351, -758138, -757927, -757718?\n\"Answer: -r**2 + 218*r - 758783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 207684766 by 103842383.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**2 + 1 + 0 + 0*d**3 + d**3 - 15*d - d**2 as m + y*d**3 + z*d**2 + l*d and give l.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7117 and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - 6*y - 2. Give d(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/810450 and -19\/761823.\nAnswer: 38091150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 701*k - 1023*k + 2 + 61027*k.\nAnswer: 59303*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1110144)\/(-5841))\/(-224))\/(16\/6)?\nAnswer: -7\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -8042*z + 8038*z + 31, -3*z + 2*v + 2 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3\/3 + 3746*l**2\/3 + 292656*l + 146016.\nAnswer: 2*(l + 468)**2*(2*l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242993701 + 2*y - 242993701.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.496 - -0.196. Let r = 0.39 - 1.39. Sort r, j, 6 in increasing order.\nAnswer: r, j, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(3920\/2538) + 5. Let p = h + -1\/49. Let n = -1.1 - -1.03. Is n bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 a when two letters picked without replacement from {a: 16, f: 2}?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u - 7*u + 26 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(77\/10) + 232800\/(-162184).\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3062436?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5*m = -2*r - 17, 0 = -r - 2*m - 3. What is the least common multiple of 5 and (-1 - 0\/1)*r?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7119113 is divided by 1423794?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 44582 or 386?\nAnswer: 44582","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 538.272 litres in millilitres?\nAnswer: 538272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4818 - -4817. Let a(r) = -15*r**3 + 3*r**2 + 2*r - 1. Determine a(n).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of s**4\/4 - 2*s**3\/3 - 5*s**2\/2 + 9*s. Let q(w) = -4*w**2 + 5*w + 6. What is 6*f(h) + 5*q(h)?\nAnswer: -2*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/213 + -436\/1065. Which is the closest to 6? (a) 4 (b) 0 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z - z - 3*z)*(61 + 73 - 61) + 2*z + z + 3*z.\nAnswer: 79*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 15. Is 13 a factor of 2\/(-6)*s + 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of -b**4\/6 - 2*b**3\/3 + 14*b**2. Let q be f(0). Let h be (q\/(-1) - 8) + -4. Sort 1, 0, h in descending order.\nAnswer: 1, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 5*s + 3*v, 2*v + 11 - 3 = 0. Let f = -9 + s. Is 9 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -27*s + 9*s. Let w(l) = -3*l + 1. Give w(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2941 - 318?\nAnswer: 2623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*u + 4*u + u in the form b + r*u and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j + 27*j**2 + 18*j**2 + 25*j**2 - 42*j**2 in the form f*j + w*j**2 + r and give w.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2316 - 0?\nAnswer: -2316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j = -536 + 494 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 + 8*o)*(-69 + 18*o**2 + 69) - o**3 + 13*o - 13*o + 6.\nAnswer: 143*o**3 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 8*a + 4. Let k(o) = 27*o + 12. Let d(u) = 2*k(u) - 7*q(u). Let t(c) = c + 2. Let w be 20\/(-6)*(-42)\/28. Calculate w*t(n) + 3*d(n).\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 12:23 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -422*j**3 + 822*j**3 - 404*j**3.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -10*s + 33. Let f be o(3). Suppose -36 = -3*u - 0*u. Let h be ((-6)\/(-4))\/(u\/16). Solve f*i = -a - h*a - 15, 3*a + 15 = i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1)**(-50)*((v**(-4\/9)\/v)\/v*v)\/(v*v**(-1\/6)\/v) assuming v is positive.\nAnswer: v**(-923\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + o - 4)*(-2 + 1 - 1)*(-7*o - 25*o - 19*o) + (o - o + o)*(4 - 4 + 8*o) to u + a*o + b*o**2 and give b.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -12. What is the nearest to k in 0.3, -17, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 225231396?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 1:10 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.22 - -13.22. Let b = 13.000057 - l. What is b rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (62233 - g - 62213 + 2*g)*(-4 + 5 + 1)*(0*g - g + 7*g) as f*g**2 + r + k*g and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -446*x**3 + 166362*x**2 - 1492*x = 0.\nAnswer: 0, 2\/223, 373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 66*b**2*c**3 + 39633*b**2*c**2 + b**2 + 383*b*c**5 + b*c wrt c.\nAnswer: 396*b**2 + 22980*b*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -5, 65, 7069, -1 in decreasing order.\nAnswer: 7069, 65, -1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.68302nm in micrometers?\nAnswer: 0.06468302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -x**3\/3 - 8*x**2 - 35*x - 4. Let b be j(-15). Let o = 44 + b. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1260.923 * 72\nAnswer: -90786.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13558.\nAnswer: 2, 6779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, s: 1, u: 2, g: 2, r: 1}. What is prob of sequence suu?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 6 + 0*h**2 - h**2 - 5 - 10*h. What is the units digit of p(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 8:39 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, o: 8}. What is prob of picking 2 v?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 122797770 to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 12)\/((-8406)\/1868).\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 52*b**2. Let m(j) = 11*j. What is m(f(r))?\nAnswer: 572*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/3)\/t*t*t)\/((t\/(t*t**(-1\/5))*t)\/t))**(-10) assuming t is positive.\nAnswer: t**(-34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 6:31 AM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2277442 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/27 - 0 - 2\/(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/14909805 and -169\/42.\nAnswer: 208737270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((66 - 43) + (-3 - 8))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -14, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -145, -147, -149?\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5090 is divided by 364?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, m: 3, v: 4, z: 6, t: 1, s: 1}. What is prob of picking 1 y and 1 t?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 1053984?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -1 + 2*g**2 + 3*g**2 + 2 + 1. Let c be i(2). Calculate the highest common factor of c and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.3 or 3104744?\nAnswer: 3104744","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*n = 676 + 125, 1647 = 2*a + n. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from shaasaahshass. What is prob of picking 3 h?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 112849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b6676 (base 12) to base 9.\nAnswer: -404370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12 - -17)\/((-2)\/(-2)). Let c(g) = -403 + 203 + g**3 + 2*g + u*g**2 + 199. Suppose -5*w - 5 = 0, -4*y + w - 19 = -0*w. Calculate c(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26465 and 1340.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*m = -182*m + 855 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {i: 5, n: 8, a: 3}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 142171847 to the nearest integer?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1123231111 + 11?\nAnswer: 1123231122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 649 + 23. What is the hundreds digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.02 and -6?\nAnswer: 7.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of v**7\/105 - v**6\/10 + 13*v**4\/4 - 53*v**2. Find the second derivative of p(l) wrt l.\nAnswer: 24*l**2 - 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 11:08 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/7)\/r**16 assuming r is positive.\nAnswer: r**(-110\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 46*n. Let d(g) = 32*g. Determine r(d(z)).\nAnswer: 1472*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2733 - 2736. Let h(q) = -9. Let v(s) = -s - 9. Let b(u) = -5*h(u) + 6*v(u). What is the units digit of b(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2, -6.4, -19, -1, 200, 0?\nAnswer: 200","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15160582933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**4 + w**3 - w + 1. Let r(o) = -7*o**2 - 9*o**4 - 31*o**3 + 12*o**3 - 4*o**5 + 0*o + 3*o - 4. Let g = 3 - 7. Let x(j) = g*v(j) - r(j). Factor x(t).\nAnswer: t*(t + 1)**3*(4*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 108*p - 110*p + 11 = 0, -i - 92*p = -917 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/641, -1\/9, -2\/175, 79.\nAnswer: -1\/9, -2\/175, -2\/641, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 18125 = -11105. Is 79 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.2*-1141\nAnswer: 5933.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.9 - -8. What is the closest to m in -1, 9, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 5 (c) 1 (d) 0.104\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 1231?\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 37\/8986?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -121354\nAnswer: 606770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**5\/7 - 8*k**4\/7 - 4*k**3\/7 + 8*k**2\/7 + 6*k\/7 = 0. What is k?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j - 16. Let q(a) = a - 5. Let i(m) = 4*n(m) - 11*q(m). Let k be (2\/3)\/(2\/36). Let c be i(k). Sort 0, 1, c in descending order.\nAnswer: c, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 + 2*y**2 - y**2)*(-2*y - 23 + 0*y + 16 - 2*y**2) - 3 + y**4 + 3.\nAnswer: 3*y**4 + 2*y**3 + 7*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 1288*z + 1540. Let a(o) be the first derivative of -33*o**2 - 79*o - 33. Let k(f) = -98*a(f) - 5*c(f). Is 30 a factor of k(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13026 (base 8) in base 9?\nAnswer: 7672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.167448761 or -2?\nAnswer: -0.167448761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**2 + 11*t + 2. What is b(8)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2761 + -2761. Let h(j) = j**3 + 4. Let x be h(0). Sort -0.4, l, x.\nAnswer: -0.4, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + sqrt(1100)).\nAnswer: -8 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -20*w**3 + 242*w**2 - 735*w - 61. Determine r(6).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 76 - 17 + k - 18 - 36 in the form n + h*k and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.35, -6, 2\/15 in decreasing order.\nAnswer: 2\/15, -0.35, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/2*r - 1\/4*r**4 + 1\/4*r**2 + 1\/2*r**3.\nAnswer: -r*(r - 2)*(r - 1)*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 9:23 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3481161, -90, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, 205, 434?\nAnswer: 663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2 = -2. Suppose -3*k + 0 = -3. Suppose k = 2*c + 3. What is the smallest value in n, c, -1\/11?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 32626 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**4 + 105 + 18*i**2 - i - 107 + 15076*i**3 - 15082*i**3 to o*i + j*i**4 + s*i**2 + b*i**3 + m and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-6*(sqrt(66) - -3*-2*sqrt(66)))\/(sqrt(72)\/(sqrt(48)*-1)).\nAnswer: -180*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -0.07434896.\nAnswer: -0.3717448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 42 + 30 = 0. Suppose 4*v = 7*v - 423. What is the third derivative of -v + 141 + 11*l**m - 2*l**2 wrt l?\nAnswer: 1320*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9287272 millilitres to litres.\nAnswer: 0.0009287272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of q**6\/120 - q**5\/10 - q**4\/24 + 4*q**3\/3 - 2*q**2. Suppose 0 = -2*u + 2 - 54. Let f = 32 + u. Calculate n(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2309563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4 = 1. Let b(u) be the second derivative of -u**4\/12 - 5*u**3\/6 - u**2\/2 - u. Let n be b(-4). Sort x, n, -2 in descending order.\nAnswer: n, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.44 + 0.6. Let o = v + -0.56. Let s = -0.09 - -0.05. What is the nearest to 1\/2 in 1\/5, s, o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -66*m**2 + 298*m + 10. Determine x(5).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 123, 402, 863, 1500, 2307?\n\"Answer: -w**3 + 97*w**2 - 5*w + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -24.7414 - 0.2\nAnswer: -24.9414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6677, -8742, -10807, -12872, -14937?\nAnswer: -17002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**3 - 4*g**3 - 8*g**2 - 19*g**2 + 23*g**2.\nAnswer: -5*g**3 - 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/(-2)*(-40)\/(-6). Suppose 0 = -5*m + g + 20, -3*g - z = -5*m - 4*g. What is the remainder when 13 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -19*x**2 - 141*x - 26. Let l(w) = -17*w**2 - 141*w - 23. What is 8*d(n) - 9*l(n)?\nAnswer: n**2 + 141*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2199548.31 rounded to the nearest 10000?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 1056*m - 8444. Give f(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tvvtcvcvvtc. Give prob of picking 1 t, 2 c, and 1 v.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 42 = -3*n + 24, 5*n - 110 = g. What is the remainder when 58 is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a decade in months?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5*b + 345 = 0, -4*b - 162 = 6*q - 8*q. Let k = q - 55. What is the lowest common multiple of k and 22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*x + 33*x + 117. Which is smaller: -156\/11 or x?\nAnswer: -156\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 divided by 10.\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + 8. What is the remainder when 80\/h*(2 - -1) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21 or -2256906?\nAnswer: -2256906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11867137.\nAnswer: 11867137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -41, -43, -37, -17, 23, 89, 187?\n\"Answer: k**3 - 2*k**2 - 3*k - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 40 - (1 + 2) - (-54 + 60)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -97*a**7\/210 + 7*a**6\/120 - 61*a**4\/12 - 240*a**2 + a. What is the second derivative of l(d) wrt d?\nAnswer: -1164*d**2 + 42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 2012796213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of 17*k**4\/3 + k**3\/3 - 3*k**2\/2 + 30*k. Let z be ((-1)\/(-2) + -1)\/(33\/(-132)). What is the units digit of a(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*l = 142*l - 90016. Is 28 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -344 = -651*k + 7762 - 1282 + 4243 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/33456 and -73\/1200.\nAnswer: 836400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2028*x - 10137. Give t(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/4 - 8635*j + 74563225.\nAnswer: (j - 17270)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 2790859 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 465 + -4. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000279754361 to 6 decimal places.\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 9391*-83525\nAnswer: -784383275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 8*q**3 - 105*q**2 - 33*q + 2084. Let y(a) = -2*a**3 + 25*a**2 + 8*a - 521. Let i(x) = 6*h(x) + 25*y(x). What is the second derivative of i(v) wrt v?\nAnswer: -12*v - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 12, 36, 76, 132?\n\"Answer: 8*j**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4*x - 16 = -3*c, 3 = -3*x. Let j(d) = -9*d + 3. Suppose -1 = 5*n - k, -k - 4 = -0*k. Let v be j(n). Solve v = c*i - 13 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 0*r - 3*s + 14, -5*r = -4*s - 32. List the prime factors of 42\/56*r*6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2 + ((-1*sqrt(170) - sqrt(170))*4 + sqrt(170))\/sqrt(10) + -5 + 4 + 1 + sqrt(2448) + (sqrt(2448) - ((1 + sqrt(2448))**2 + 3 + sqrt(2448))).\nAnswer: -2457 - 19*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -46*u**2 - 22*u. Let p(c) = 16*c**2 + 7*c. What is -14*p(h) - 4*y(h)?\nAnswer: -40*h**2 - 10*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 218*c - 256. Let t(i) = 13*i - 20. Calculate the lowest common multiple of j(3) and t(2).\nAnswer: 1194","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103930 take away 148502539.5?\nAnswer: -148398609.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47128 + 5*v + v + 47128 - 4*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b**2. Let c(k) = -4*k - 5. Suppose 0 = d - 0*d + 5. Let h(f) = f + 1. Let q(n) = d*h(n) - c(n). Calculate t(q(v)).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 7:00 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 16. Let l be 1\/(-6)*(-7028)\/6. Let s = -195 + l. Which is smaller: s or c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 638 is divided by 595?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 206 + -106. Let m be 1\/4 - (-247)\/4. Let x be m\/3 + (-2)\/3. Calculate the highest common factor of b and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 7:09 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -8) + 3 + (-4 - 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6141779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 98*q**2 + 903*q + 230. Calculate c(-9).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121*j**2 - 58*j**2 - 9*j**2.\nAnswer: -188*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 1:01 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -0.2. Let s = 4.316 - 0.316. Which is the nearest to f? (a) -2 (b) -3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(2*d - 14 + 12 + d + (2*d + 0 + 0)*(-2 + 2 + 1)).\nAnswer: 5*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 259 - 257. Let i(m) = m**2 - m + 1. Let n(o) = -82*o**3 - 2*o**2 + 63*o - 2. Let w(q) = u*i(q) + n(q). What is the second derivative of w(k) wrt k?\nAnswer: -492*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(4\/7)*v**(2\/33)*((v\/(v*v**(3\/5)\/v))\/v*v)\/v*(v*(v\/v**2)\/v*v)\/v assuming v is positive.\nAnswer: v**(-1118\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a gram in milligrams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/60*25\/(625\/(-100)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 388 and 3764.\nAnswer: 365108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11672, -3, 0, 3 in descending order.\nAnswer: 3, 0, -3, -11672","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m + 5. Let c(p) = -p**2 + 5*p + 9. Let k be c(6). Let o be b(k). Which is bigger: o or -2\/83?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(84)\/(sqrt(36)\/sqrt(3))) - (-2 + -1 + sqrt(11) - (sqrt(88)\/sqrt(2))**2).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7918 - 8145. What is the biggest value in -1\/2, 0.1, a, -1\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -352, 4, -48, -279 in descending order.\nAnswer: 4, -48, -279, -352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 177993 to the power of 1\/2, to the nearest integer?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215 = -3*v + 25. Suppose -12*l + 10*l = v. Let q be (-283998)\/(-4) + (-20)\/l. Round q to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*s + 38*s + 192*s + 249*s - 20*s.\nAnswer: 523*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 10. Let w be h + 1 + (-110)\/40. Let r be (1\/(-3))\/((-2)\/(-6)). Which is smaller: r or w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**5 - 111*l**4 - 1566*l**3 - 10590*l**2 - 34575*l - 43875.\nAnswer: -3*(l + 5)**3*(l + 9)*(l + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 63528959 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y + 16*y = -136. What is the smallest common multiple of y and 18?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7623.0262 rounded to the nearest one hundred?\nAnswer: -7600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n - 1. Let m(t) = -t**2 - 597320. Determine m(k(b)).\nAnswer: -16*b**2 + 8*b - 597321","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, s: 2, k: 3, t: 5, j: 1, w: 7}. Give prob of sequence wts.\nAnswer: 7\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 50\/175 + 309\/21. Solve 0 = y*v - 60 + 150 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 97 + 218. Let w = 64 + v. Which is the third smallest value? (a) w (b) 5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*x**3 - 22*x**3 + 6 + 61 + 10*x**3.\nAnswer: 3*x**3 + 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 278938243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/14 + (-7)\/16)*1 + 898\/(-32).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -58*u. Let s(j) = 30590*j. Give c(s(a)).\nAnswer: -1774220*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -7. Let x be 1\/(-3) - 1\/(-3). Suppose 2*m + 0*m = x. Solve -2*y + i = -m*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 616786 is divided by 56068?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 647488 (base 9) to base 15.\nAnswer: 795b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - j = -0*a - 5, 3*j = -3. Let k = 22 - -3. Let o = 29 - k. Solve -a*f + o = -0*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.195 to two decimal places.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-24))\/(55\/(-32120)).\nAnswer: 73\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 164994 divided by 402.\nAnswer: 27499\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*m + 4*m. Let f(k) = 4*k**2 + 5*k - 1. Let n be f(m). Suppose 0 = 4*u - 3*u - 3. Sort u, 4, n, -4\/9 in increasing order.\nAnswer: n, -4\/9, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -105 + 105.832. Round b to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2*c = -22 + 144, -4*r + 2*c = 98. Let d be (r\/(-5) - 4\/5) + 0. Solve -w - 7 = -h, 0 = -5*h + 11 + d for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 5*y**2 - 4*y + 4. Give o(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -7*d + 2*d. Let c be (-2)\/(-42) - 0\/d. Let j = c - -2\/7. What is the third biggest value in -1\/3, j, -1\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 1. Let q be g(-1). Suppose 0 = -q*r + r - 3*f - 16, -5*f = -2*r + 31. What is the remainder when 51 is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -0*a - 91. Calculate the greatest common divisor of a and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*d*x*y + d*y**2 + d*y*z - 5*d*z + x*y**2*z + 11*y**2*z wrt d?\nAnswer: -5*x*y + y**2 + y*z - 5*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 17, 87, 157, 221, 273, 307, 317?\n\"Answer: -s**3 + 6*s**2 + 59*s - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.20279 millennia in months?\nAnswer: 746433.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 260*r**3 + r**2 + 2*r + 1. Let v be h(-1). Let w = -10440 + v. Round w to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-63)\/6*(-4 + 10\/3). Suppose -t*h + 25*h = 36. Let d = 5\/22 + 63\/110. Which is smaller: d or h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3*(3 + (-3000)\/(-9)).\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -4. Let s(c) = 3*c**2 - 8*c - 8. Let m(w) = -w**2 + 4*w + 4. Let i(u) = 5*m(u) + 2*s(u). Let p be i(x). Put -1, -3, p in descending order.\nAnswer: p, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u**3 - 9*u**2 + 11*u - 4. Let x be p(5). Suppose 4*q - 5*r = 127, -5*q - 3*r = -x + 70. Does 4 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 255170, 510336, 765502?\nAnswer: 1020668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68 and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -827\/5 or -165?\nAnswer: -165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4257 = -y + u + 56255, -5*y = -3*u - 302564. Is 383 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-6))\/((-1)\/(-1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1335.1605289 to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2366542?\nAnswer: 2, 1183271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -3. Let q be 9\/(-324)*3 + (-1)\/(-3). Which is the nearest to s? (a) q (b) 0.5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -125049350, -125049348, -125049346?\n\"Answer: 2*z - 125049352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (8\/4 - 4)\/((-56)\/158) and 31\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 - (-8)\/(-6 - -2). Let m(q) = -q**3 + 4*q**2 - 3*q + 3. Let l be m(o). Find the third derivative of -14*r**2 + 15*r**l - r**3 + r**2 - r**3 wrt r.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.163 - 7.163. Put 0.5, t, -2, -4 in descending order.\nAnswer: 0.5, -2, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -752814552 divided by 6\nAnswer: -125469092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, 0.1, 5, 11\/7, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 57?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -59, -64, -45, 10, 113, 276, 511?\n\"Answer: 2*b**3 - 19*b - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*((-42)\/4 + (-36)\/(-8)). Which is bigger: d or 145\/26?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y + 12 - 2*y - 10. Suppose -3*b + b = -2. Let n be (-1)\/((-3)\/9) + b. Determine p(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 18 - -10?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84579 = 4795*h + 222301 for h.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -5. Let m(j) = -j + j - 3*j + l*j. Let c(w) = -2*w**2. Calculate m(c(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*q - 46*q + 2445. Suppose q = 4*x - 271. List the prime factors of x.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express i + 4*i - 3*i + 5*i - 4*i + 0*i + (3 - 3 - 2)*(-3*i - i + 5*i) - 4*i + i + i - 410172*i - 409490*i - 3 + 817969*i in the form g*i + z and give g.\nAnswer: -1694","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 202160 - 813372 = 0. Let s = j + 535076. What is s rounded to the nearest ten thousand?\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - (-35)\/15*3. What is the third derivative of 811 - 811 + 4*a**t + 4*a**3 + 23*a**2 wrt a?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -4*r**3\/3 - 10*r**2 + 96*r - 201. Factor u(j).\nAnswer: -4*(j - 3)*(j + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2*sqrt(98))**2.\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 20*z - 31 - 31*z.\nAnswer: -11*z - 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1683 and 96723?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 9*u**3 - u + 5. Let k(l) = -l**3 - 1. Suppose 0 = -6*m - 3*m + 27. Suppose 0*h = -m*h - 24. Let a be (-2)\/(0 - h\/20). What is a*k(p) - j(p)?\nAnswer: -4*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 5*y - 93714, 86*q - 85*q + 93734 = 5*y. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -69*j - 43. Let x be ((-4)\/(-2) + -16)\/2. List the prime factors of s(x).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13025 (base 7) to base 6\nAnswer: 23545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**2 - 16. Let i(a) = -2*a**2 + 3. Let r(t) = t**2 - 2. Let o(c) = -2*i(c) - 3*r(c). Calculate o(p(m)).\nAnswer: 4*m**4 + 64*m**2 + 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 2*r - 34, -5*m + 2*r - 170 = 3*r. Let i be (-160)\/(-4 - 0)*m. Round i to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19.8*242.\nAnswer: -4791.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 683*w - 11898. Let z be c(-17). Suppose -m - 3*m = -12. Solve -4*f - 4 = -m*s - 15, 0 = -z*s - 5*f + 31 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4\/9, 0.3, -3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -190 * 511.\nAnswer: -97090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4217 is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -5\/11, -3\/5, -3, 1\/3 in decreasing order.\nAnswer: 9, 1\/3, -5\/11, -3\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 54159*y - 37 = 54154*y, -3*k + 0*k + 2*y - 30 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of o**4\/2 + o**3\/3 - 4*o**2. Let j be c(4). What is v in -j*v + 50*v - 3*v**3 + 6*v**2 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*k**3 + 57\/2 + 55\/2*k**2 - 113\/2*k.\nAnswer: (k - 1)**2*(k + 57)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t + 5*k = 3*t + 75, -3*k - 11 = -t. Let c(z) = -10 + 0*z**2 - 2*z**2 + 15*z + z**2. Let l be c(t). Solve -l = -4*g + 16 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13884630103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -7*z + 0 - z**2 + 1 + 9. Suppose -y = 5*q - 18, -3*q = 4*y + 9 + 4. List the prime factors of a(y).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33 - 29. Suppose -3*y + 43 = 3*i + 2*y, -g*i - y = -29. Let b(n) = 5*n - 8. What is the smallest common multiple of i and b(6)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*j + 38 = 3*h - 92*j, -j = 2*h + 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 34\/6 + (-4)\/6. Let t(u) = -6*u - 5. Let r(k) = -k - 1. Let z(p) = f*r(p) - t(p). Let n(g) = 18*g. Give z(n(o)).\nAnswer: 18*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = a + 14. Let w(g) = g**2 + 15*g + 17. Let u be w(a). Factor k**u + 6*k - k - 7*k + k**2.\nAnswer: k*(k - 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**2 - 3*k + 6 - 5*k - 2*k**3 - 18*k + 25*k in the form n*k + s*k**3 + i*k**2 + h and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 59.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, 8, -80\/11, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**3 - 98*d**2 - 6. What is o(49)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7492 and 2476?\nAnswer: 4637548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 20 = 2*v - 18, v + 2*b + 2 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2917473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25040\/(-626) + 1\/(-1) + 6.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*f = 10*p - 754, -4*f = -4*p + 620. Suppose 6*y = 2*y + 3*c + 55, 0 = y + 4*c - 28. Calculate the highest common factor of y and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 3:54 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4*p + 3. Let s be 4*(29\/(-14) + 64\/112). What is t(s)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -3*f**3\/2 + 57*f**2\/2 + 48*f. Does 11 divide c(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 6\/2952853 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lxlb when four letters picked without replacement from {b: 13, x: 1, l: 3, t: 2, u: 1}?\nAnswer: 13\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 5*r**2 - 9*r + 11. What is a(-5)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2500*n**2 + 36469*n**3 + 2500*n**2.\nAnswer: 36469*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g - 47*g**2 + 267*g**2 + 7*g**3 - 8*g - 205*g**2.\nAnswer: 7*g**3 + 15*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -12*(-5)\/40*2*-9. Let m = l - -50. Let i be (-2)\/2 + ((-72)\/(-3) - 0). Is i less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138.3249 millennia in years?\nAnswer: 138324.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 9*j**3 - 16855*j**2 - 3767*j + 39336. What is l(1873)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**2\/5 - 38*x - 792\/5 = 0.\nAnswer: -4, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 5*v**4 + 1260*v**3 - 297270*v**2 + 590740*v - 294735 = 0?\nAnswer: -401, 1, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -83 - -151. Suppose 2*z = -5*m + 26, 4*z + 3*m = 6*m + 104. Calculate the remainder when r is divided by z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 92*k. Let x(d) = -2*d**2 + 2*d - 8613. Give x(p(m)).\nAnswer: -16928*m**2 + 184*m - 8613","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 575317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1220984, -2441958, -3662922, -4883876, -6104820?\nAnswer: -7325754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228*d = -180*d + 48 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/14*112\/84?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2159 - -3?\nAnswer: -2156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/6 - (7 - (-501115)\/(-15)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -15544*x + 959. Is a(-18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -i - 2*f - 6, i + 2*f + 4 = 0. Let l = 1 + i. Let h(q) = 7*q**3 - q. Give h(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -47*x + 44*x, 2*q + 2*x = 0. Solve q = -30*s - 25 + 145 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -9 (b) -5 (c) -2\/11 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/691297 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 4, -51, 0 in descending order.\nAnswer: 4, 0, -3, -5, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*r + 114664 = -16*r + 24964. What are the prime factors of r?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*c**2 + 10045*c**3 - 7287*c**3 - 3*c**2 - 6812*c**3)*(4 - 6 + 0) as y*c**3 + x + q*c**2 + j*c and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2547*h - 2542*h - 5*r = -10, 0 = -2*h + 4*r - 18 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 183113 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.8724 + 9.8724. Let z = -272\/1143 + 2\/127. What is the nearest to 1\/4 in i, z, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 1. Let a be q(0). Let n(y) = -y**2 + 22*y - 120. Let s be n(11). Is s > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 5753134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1033 is divided by 115.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 + 16. Let v be (-60)\/(-5)*46\/r. Let x = v + 139. Calculate the remainder when x is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - u**2 + 3*u - 3. Give h(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of 4612*a**3\/3 + 4041*a**2\/2 + 5209. Find the second derivative of r(i) wrt i.\nAnswer: 9224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -30639, -122577, -275809, -490335, -766155?\n\"Answer: -30647*b**2 + 3*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 3, 0.5, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2054, 4209, 6464, 8819, 11274?\nAnswer: 13829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 2:57 AM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 51.1 times -0.251\nAnswer: -12.8261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**3)**(13\/5)\/(d**(-11)\/(d*(d\/d**(-4\/7))\/d*d)) assuming d is positive.\nAnswer: d**(839\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of 1\/12*l**4 + 0 - 6*l + 15\/2*l**2 + 3\/2*l**3. What are the prime factors of g(-11)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**2\/2 - 1596*i - 353855\/2 = 0.\nAnswer: -3077, -115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-60)\/8)*72\/120*5\/3.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -49? (a) 1 (b) -3\/4 (c) -35\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121*o**3 + 232*o**3 - 114*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3503 rounded to 1 decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + (4 - 1 - 923). Let m = -557 - x. Suppose -7*y = -5*y - m. What is the remainder when y is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -58 - -36. Let w(b) = 2*b - 4. Let i be w(-5). Let n = i - g. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1842 is divided by 248?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -113094*i**3 + 2*i**2 - 23*i - 47. Is t(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -4, 5, 42, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 301*n + 566*n - 264*n + 14472 for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 241 = o + 69. What are the prime factors of o?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -167, -174, -191, -218, -255, -302, -359?\n\"Answer: -5*a**2 + 8*a - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 641 - 57 = -4*a, -2*m + 1216 = 4*a. Suppose 60*v + 3\/2*v**2 + m = 0. Calculate v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 5*o**2 - 5*o + 7. What is x(6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.8, 2, -11, -21, -719 in decreasing order.\nAnswer: 2, 1.8, -11, -21, -719","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1098328050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 8*b + 12. Let p be n(-6). Suppose 7*q - 4*q - r - 11 = p, -r - 17 = -5*q. Is 3 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -556 greater than 610482?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1934 and -5414813.3522.\nAnswer: -5412879.3522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 98.44 - 5.44. Let r = m - 93.3. Which is smaller: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91, -81, -65, -43, -15?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-5))\/((-9)\/(-1170)*13)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9300?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.18 and -0.35.\nAnswer: 0.063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*s - 8*s + 72 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(-3) + (-23 - 1). Let m = -21 - k. Let n = -0.2 + 0. Sort 2\/13, m, n.\nAnswer: n, 2\/13, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -100*x - 41*x + 14*x. Let g(k) = 2*k. What is g(c(m))?\nAnswer: -254*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000126 rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 + (-191436)\/(-15 + 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) - ((sqrt(432) - sqrt(432)*-3 - sqrt(432)) + 4))*6)**2 + 5.\nAnswer: 6912*sqrt(3) + 62789","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5, -31, -71, -131, -217, -335, -491, -691?\n\"Answer: -y**3 - y**2 - 16*y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -7)\/(5\/(-4 - 1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 6*y - 7. Suppose x = -3 + 7, 3*x = 4*n - 88. Suppose o = 5*q - n, -1 = 3*q - 3*o - 4. Calculate v(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/4? (a) 0.1 (b) -0.5 (c) -5 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 79*m**2 + 4*m - 5. Calculate the remainder when l(1) is divided by 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g + 6. Let j(z) = -2*z - 13. Give 7*c(n) + 3*j(n).\nAnswer: n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 6*c + 3 = 2*g, -4*c = 3*g - 5. Let 0 - 6\/7*p - 18\/7*p**g + 6\/7*p**4 + 18\/7*p**2 = 0. Calculate p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/15)*s*s)\/(s\/s**1)*(s*s**(2\/3))**(-27) assuming s is positive.\nAnswer: s**(-647\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 31*h + 71. Let p(f) = -477*f**2. Calculate z(p(a)).\nAnswer: -14787*a**2 + 71","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -b + 10*r, r - 9 + 11 = 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 + 16 + 21 = -12*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -66*c + 559. What is the units digit of t(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22240 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 - 500660?\nAnswer: -500667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -8*j + 54. Let v be i(6). Solve -14*q - v*q = 120 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1828\/31 or -12?\nAnswer: -1828\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6623 and 27029.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-58)\/(323408\/170)*12\/(-5)?\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 12:22 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**2 + v + 4. Let m(c) = 25*c**2 - 1 - 24*c**2 + 0*c - c. Let j(d) = d - 13. Let y be j(10). What is y*m(k) - t(k)?\nAnswer: -k**2 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18185*q**3 - 1 - 18197*q**3 + 36366*q**3.\nAnswer: -16*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 95+2342\nAnswer: 2437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2*z - 6 = 0, 7*z - 8*z = -t. Let h = 13 + 6. Let p = 17 - h. Which is the closest to t? (a) p (b) -7 (c) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12556 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -211279\/4 + 52820. Factor -z*j**4 + 1\/4*j**2 - 1\/4*j**3 + 1\/4*j + 0.\nAnswer: -j*(j - 1)*(j + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/3*(-7316811)\/47358\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 15\/(-6)*16\/20 + 1664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1028 divide 11314168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 622*a - 19586 = 620*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -619771.5 to the nearest ten thousand.\nAnswer: -620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 215258 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 j = 45 - -30. Let r = j + -74.999953. Round r to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1103792980.\nAnswer: 2, 5, 41, 71, 18959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, c: 1, k: 1, j: 2, n: 1, y: 1}. Give prob of picking 1 n and 1 r.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.26 times 4968?\nAnswer: 31099.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-3\/16))**10)**(-47) assuming x is positive.\nAnswer: x**(705\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 196 (c) -0.3 (d) 0.0073 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 31, 42, 61, 88?\n\"Answer: 4*s**2 - s + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/11704 and -89\/21817719.\nAnswer: 174541752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 497 by 31.\nAnswer: 497\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 1:59 PM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20203 - -121?\nAnswer: 20330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -105 - -101.15. Let t = 6.4 + q. Let a = t + -2.5499847. What is a rounded to six dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-77))\/((-1220)\/(-1342))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence esv when three letters picked without replacement from shheehhvsshhhe.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - 0 - 11)*(-10)\/25. Suppose 9*p - x*p - 80461 = b, 3*b = 2*p - 53636. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 1\/4 (c) -1 (d) 5 (e) -26\/6875 (f) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1265487.478 + 1265473.47800022. Let x = d + 14. What is x rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -4, -0.8, 2\/7 in descending order.\nAnswer: 2\/7, -0.8, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -892147 and -1784295\/2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/5)\/(5\/(-25)). Let z be f + 5 - (-27)\/(-15). What is the closest to 2\/7 in 3, z, 0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(-6) + 3\/2. Let p(t) be the second derivative of t - 3\/20*t**5 + g*t**4 + 0 + t**2 - 7\/6*t**3. Find z such that p(z) = 0.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -45 and 4?\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -119, 5, 0.\nAnswer: -119, -6, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -t**4\/3 + 22*t**3\/3 + t**2 - 64*t\/3 - 44\/3 = 0.\nAnswer: -1, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2009 and -97.696267.\nAnswer: 1911.303733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/2 of a millennium?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = y + 3*q + 2*q, -3*q - 1 = -2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*w = -11 - 44, -w + 157 = 4*o. What is the highest common divisor of 6437 and o?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -36, -47, -74, -123, -200?\n\"Answer: -d**3 - 2*d**2 + 2*d - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 6 = 0, 3*s = -5*a + 16 + 15. Suppose -4*k = a, -4*j - k + 27199996 = k. What is j rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 17*p**2 - 2*p. Let z be v(1). Let l be (1 - 9\/15)*z. Let m be (16\/l)\/((-2)\/3). Which is the third biggest value? (a) 0.4 (b) -5 (c) 2 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + (-14 + 27 - -31).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23845?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 7:26 PM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/22421967 and -81\/399022.\nAnswer: 582971142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*y + 2634 = 1080 for y.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -33*g + 28*g - 118, g + 14 = -3*w for g.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 30121?\nAnswer: 30123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.933 + 0.067. Which is the fourth biggest value? (a) v (b) 0.48 (c) 0.3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*5 + 0\/(-3). Suppose q + 1 + 12 = 0, 2*z - 10*q - 76 = 82. Solve -f = 5*m - 3*o - 5, -4*m + z = 2*o for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-6) - (-20)\/12. Let p(i) = i**3 + 4*i**2 - i - 1. Let o be p(-4). Solve o*d - 9 - c = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 12:17 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5*q + 0*q + 7 = 0, -4*j + 3*q + 9 = 0. Let z(u) = 9*u + 8*u**3 - j - 5*u**3 - 4*u**3 + 8*u**2. What is the units digit of z(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 3*a + 21 = 0. Let m be 2\/(-4) + 5\/2. Suppose -m*w + 36 = -6. Calculate the greatest common divisor of w and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 28, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*j**4 - 2*j**2 - 122*j**3 + 57*j**3 - 15 + 62*j**3 + 48 to the form q*j**4 + x*j + m + h*j**3 + a*j**2 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 5:02 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -37, -1\/2, -98, 3\/7, 0.1, 1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -398*f - 9165 = -434*f + 271*f for f.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*m - 324 = -36*m. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from xxooaaoaal?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4.26516 and 29.\nAnswer: 24.73484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/20 and -79\/116.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 189 + 48 = 0. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((3 + sqrt(1300)*1)**2 + sqrt(1300)).\nAnswer: -3927 - 210*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3818192.\nAnswer: 2, 7, 73, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 787.8408m in millimeters?\nAnswer: 787840.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -274*d - 466. Let k(c) = -9*c. Let l(a) = 3*k(a) + p(a). Differentiate l(z) with respect to z.\nAnswer: -301","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-9)\/2)*(269\/(-807))\/((-9)\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -138\/5 - -424\/15. Let a(d) = -d + 8. Let n be a(6). Let v be (-6)\/13*n\/6. Sort v, o, 2\/5 in increasing order.\nAnswer: v, 2\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j = 4*j + 4*o - 24, 893*j - 1780*j + 886*j + 7*o + 14 = 0 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*(-4*p - 6*p - 4*p - p + 0*p + 2*p + (2 + 0 + 3)*(0*p + p + 0*p)).\nAnswer: -16*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -409*j - 26 = -411*j + 5*b, 8 = -2*b for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 67*p - 26 = 71*p, 5*p + 15 = -5*k. Let m(t) = -t - k*t + 8*t - 9*t + 2*t. Let w(j) = 2*j**2 + 8. Give w(m(s)).\nAnswer: 8*s**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 148 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-6 + 1 + 7 - 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 11 + 4*f + 7*f**3 + 4 + f**2 - 15*f + 9*f to the form g*f + l + u*f**2 + w*f**3 and give l.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7315 and 1064.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -u**5\/30 - 8*u**4\/3 - 256*u**3\/3 - 4096*u**2\/3 - 9*u - 1. Factor k(d).\nAnswer: -2*(d + 16)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + w + 16 = h, 4*w = -5*h + 3. Let l = w - 6. Let m = l - -3. Which is smaller: m or 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 14273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-7) - (-326)\/7. Is 0 + t + (5 - 2) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 52 or 46?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 638052?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 1045.\nAnswer: 1048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 2*h = 6, 3*h + 14 = 3*r + 23 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -50 + 52. Suppose u - 14 = 3*o. Let i(a) = -47*a - 11. What is the hundreds digit of i(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0294736 years to millennia.\nAnswer: 0.0000294736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i - 14. Let k be d(5). Let z be (12\/(-10))\/(k\/(-1235)). Let a = z + 119. Does 3 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 2\/5, 1, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 21\/4 of a kilometer?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by 2 + ((-90)\/(-6))\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -428?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85592 = -23*h + 26855. What is the thousands digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*u + 430 - 78 + 240 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 108069*n**2 - 303497?\nAnswer: 216138*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*k + 3330 = 320*k for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*n + 136*n + 3*d = -774, 2*n = -2*d + 316. What is the least common multiple of 24 and n?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -189, -1513, -5115, -12135, -23713?\nAnswer: -40989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (17 - 15) + (-9 + 1 - -3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + (4 - (21 - -2)). Let l(d) = d**3 + 14*d**2 - 16*d - 1. What is the remainder when 25 is divided by l(w)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29493432695 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 22 + ((-1)\/3)\/((-2)\/24). Let a = q + 494. What is the highest common divisor of a and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1799892 is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t - 1. Let c(r) = 2*r + 5. Let s(y) = 2*c(y) + 10*m(y). Let i be s(-1). Let b(l) = 2*l**2 - 10*l + 6. Is b(i) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 261261 and 339339?\nAnswer: 3003","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 6693?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.4 (b) 6 (c) 4 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3055 is divided by 153.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, u: 2, z: 4, y: 7}. Give prob of sequence zz.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 103*n + 7725. What is o(-75)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11324, -10873, -10408, -9923, -9412?\n\"Answer: l**3 + l**2 + 441*l - 11767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 8*n + 6. Let f = 35530 - 35526. Let b(x) = -3*x - 2. Determine f*k(v) + 11*b(v).\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -k**3\/6 - 5*k**2\/2 - 161*k + 1. Let z(t) = -2*t - 11. Determine 9*g(w) - 4*z(w).\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 t when two letters picked without replacement from {t: 2, y: 1, j: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -38856742, -77713485, -116570228, -155426971?\n\"Answer: -38856743*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -1) + (-13 - -3) + 6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1097 and 684044223?\nAnswer: 1097","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 514881476?\nAnswer: 2, 128720369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251844 is divided by 35.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1199010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4238 - -8477\/2. Let n(p) be the first derivative of -11*p - 41 - h*p**2 + 1\/3*p**3. Calculate n(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 9:02 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 11*t**2 - 4*t - 28. Calculate the remainder when 1455 is divided by l(-10).\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36810.057997 + -36810. Round r to three dps.\nAnswer: 0.058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - d - 8 = 0, 3*z + 486*d - 496*d = 11 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/((-819)\/2834) - 6\/7. Put -7, 2, c, 3 in descending order.\nAnswer: 3, 2, -7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-798)\/(-12))\/((-2)\/(-4)). Let g = h + -90. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 30?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (-4 - 16) - (-11 + 18 + -8)) + -1?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (95 - 252 - -58) + 0 + -6 + -4.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -y - 0*y. Let j be y\/16 - 2\/(-8). Let n(z) = -2 + 2 + j - 2*z. Let t(i) = 4*i. Give t(n(m)).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4 + 114384*h**3 + 1635462432*h**2.\nAnswer: 2*h**2*(h + 28596)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01479 - -122.061462?\nAnswer: 122.076252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -379 + 1319. Let v(m) = 20*m**2 - 6*m + 6. Let p be v(7). Suppose 3*u + 4*k - p = -u, -4*u = 5*k - z. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29105\/928 - -905\/29. What is the common denominator of ((-6)\/(-32))\/((-10)\/(-4)) and h?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2 = 6. Let t be (0 + (-8)\/(-2) - 7) + 11. Solve 3*d + t = -m*x + 4*d, 0 = x + 3*d - 11 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, d: 1, h: 3, q: 3, s: 5, f: 1}. What is prob of sequence qf?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.8 - 1.8. Which is the biggest value? (a) -1 (b) -0.2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1512) - (sqrt(1512)*2 + sqrt(1512) - sqrt(1512)))\/(sqrt(60)\/(2*sqrt(10))))**2.\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 35*l**2 + 75*l - 29. Let m be c(37). Let w(p) = -5*p + 14. Let f(b) = 9*b - 27. Let t(k) = 3*f(k) + 5*w(k). Give t(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 1:31 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2 + 6 - 16 + b**3 - 7*b + 4*b**2. Let n be c(-5). What is the units digit of ((-6)\/(-4))\/(n\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 751726254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 156 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226814.\nAnswer: 2, 7, 17, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 47c3dba - -4?\nAnswer: 47c3dbe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99\/(-55)*(90 + -115).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13.6 + -13. Let l = n + 1.4. Suppose 4 - 2 = -s, -2*a + 2*s = 6. What is the smallest value in 4, a, l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 115371 and 108?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -108*b - 195. Calculate v(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 1492 + 868 = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s - 28. Let i(q) = q**2 + 3*q + 26. Let g be i(-6). Suppose 2*k = g - 14. Let m be u(k). Put m, 1, -1, -3 in descending order.\nAnswer: m, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1342.3 and -0.001667.\nAnswer: 1342.298333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -1\/5*d**6 + 3\/10*d**5 + 0 + 0*d**2 + 3*d + 0*d**3 - 1\/6*d**4 + 1\/21*d**7. Factor b(r).\nAnswer: 2*r**2*(r - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.1, 10\/7, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1536887956 to the nearest integer?\nAnswer: 1154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 112 + -41 + 1 + (-24 - 4) + 14\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 140374057?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 7*s**2 - 8*s + 38. Let t be j(8). Solve 32*i - 30 = t*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 3 (b) 5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -q**4\/24 + 8*q**2. Let c(v) = -5*v**2. Determine p(c(m)).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 11001?\nAnswer: -11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-21) + -38*1\/(-14). Let h be (12\/14)\/((-6 + z)\/21). What is the tens digit of (26\/h)\/(1\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1616100 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -454, -909, -1356, -1789, -2202, -2589, -2944?\n\"Answer: s**3 - 2*s**2 - 456*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 10.6. Sort 1\/6, r, 2, 1 in increasing order.\nAnswer: 1\/6, r, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*o - 30 = -140*o - 3*u, u - 26 = -3*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 17814914*q - 3856868*q + 4600626*q.\nAnswer: -17071156*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -7*t**3 + 5*t + 5. Suppose -3*b = b - 4. Let j(h) = h**2 + 2*h + 2. Let z be j(-3). Let n(y) = y**3 - y - 1. What is b*f(c) + z*n(c)?\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 365908079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60955 is divided by 5038?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3 = 0, y + v = 4*v - 24. Let c be (y\/(-50))\/((-3)\/4). What is the nearest to c in 5, 1\/4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1128)\/(-2856) + (-4)\/7. Which is the second smallest value? (a) j (b) -5 (c) 2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15.52 - 3.78. Let q = h + 19.8. What is the third biggest value in -6, 0, -4\/5, q?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 499260949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + -13 + 1 + 23 - 7?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 266, -17.\nAnswer: -17, -1, 2, 266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 22, 1\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + b6?\nAnswer: ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8747970 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*j**2 + 809 - 8*j**2 - 10*j**2 + 46*j**2 + 2*j - 15*j**2.\nAnswer: -4*j**2 + 2*j + 809","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 127402*l**3*r**2 - 2*l**3 - 8*l**2*r - 6747*l*r**2 wrt l.\nAnswer: 764412*r**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -16*l**3 - 128*l**2 - 6*l - 48. Let u be v(-8). Solve 5*z = 0, u = 8*h - 4*h - 3*z + 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-6)*(-28)\/7. Which is the third biggest value? (a) j (b) 2\/11 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 v, and 1 g when three letters picked without replacement from yvjgjrk.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/3977 and 99\/2.\nAnswer: 7954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**3 + 91*v**2 + 49*v - 143. What is i(46)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((16\/10)\/(-4))\/(21\/(-5))\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i = -14*i + 33. Calculate the greatest common divisor of 209 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 260\/11 in descending order.\nAnswer: 260\/11, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58807715 - 3*h + 58807715.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85060, 340260, 765594, 1361062, 2126664, 3062400?\nAnswer: 4168270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -0.1, -3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(6*sqrt(65)\/sqrt(5) + (sqrt(78)*-4 + sqrt(78))\/sqrt(6) - (sqrt(52)\/(sqrt(4) + sqrt(144)) - (sqrt(13) - (-2 + 1 + sqrt(13))))).\nAnswer: 4 + 80*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 933, 8, 18, -31 in ascending order.\nAnswer: -31, 2, 8, 18, 933","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -55 (b) 1 (c) -3\/2 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -w - 2. Let s(n) = -n**2 - 8*n - 13. Let r be s(-5). List the prime factors of (1 - w)*-23 - r.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*c**2 - 1 - 2*c**4 - 3*c - 97*c**2 + 53*c**2 to v*c**3 + f*c**4 + k*c + a + u*c**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 16*n + 471. Let q be b(-29). Solve 8 - 22 = q*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 8. Suppose -613 = y*b - 9*b. Suppose 5*v + 103 = b. Does 17 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6864989654.\nAnswer: 2, 61, 257, 373, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 19960\/200 + -99 + (-66)\/(-15)*8\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204 = 123*k - 72*k. Let g(q) be the second derivative of -1\/2*q**3 - 20*q - 1\/2*q**2 + 1\/6*q**k + 1\/20*q**5 + 0. What is g(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g**2. Let o(w) = -2*w - 3. Let s(c) = 3*c + 0 - 2*c + 0*c + 2. Let i(f) = -2*o(f) - 3*s(f). Calculate i(q(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 1. Let f(d) be the second derivative of d**4\/12 + d**3\/6 + 7*d**2\/2 - 38*d. Calculate f(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -135031032 (base 6) in base 12?\nAnswer: -b0b478","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*t - 112 = 70*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 3)*(7*h + 4*h - 5*h) + (-1 + 5 - 2)*(-6*h + 6 - 6) as k + u*h and give u.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -337*d**2 - 82*d**2 - 29 - 234*d**2 + 133*d**2 wrt d.\nAnswer: -1040*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.56 and -5?\nAnswer: 4.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j + 4*j**2 + j + (-2*j**2 + 0*j + 0*j)*(2 + 0 - 41) to h + o*j**2 + c*j and give o.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 10*v - 3. Calculate b(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -167 + 166. Let k be ((-5 + 4)\/t)\/3. Which is the nearest to k? (a) 0 (b) -2\/5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 12 + 17 = 0. Suppose -4*d - 125 = -c*x - 35, x + 5*d - 47 = 0. Is 11 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -3. Let q = s + 5. Suppose -q*y + 68 = -0*y. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 23*q**2 + 52*q - 51. Let u be l(25). Put 11, -4, 4, u in decreasing order.\nAnswer: 11, 4, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6*((-9)\/56 + (-16)\/(-56)). Sort -3, b, 0.2, 1\/3 in ascending order.\nAnswer: -3, b, 0.2, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 + -17.95. Which is the smallest value? (a) -4 (b) 3\/5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -6. Suppose -4*c - 15 - 21 = v. Let o = -1.143 - -1.043. Is c != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/12)\/((-24)\/228366). Let a = -7919 - p. What is the common denominator of a and (-2)\/4 + ((-46)\/(-28) - -1)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l - 3. Let r be x(-5). Suppose -3*q - 2*q = -z - 4, r*q - 4 = -2*z. Let c(m) = q + 6*m**2 + 2 - 7*m**2 - 4*m. Determine c(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000054487053 rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 250 - 457. Let n = 204 + a. Is n at least -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-4\/3)\/z*z\/(z\/z**12*z*z))**(7\/3))**(-29))**(-2) assuming z is positive.\nAnswer: z**(9338\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, d: 4, w: 2, x: 9}. Give prob of picking 1 e and 1 d.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -105028?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**2. Let s(x) be the third derivative of -x**6\/360 + x**4\/4 - 4*x**2. Let m(l) be the second derivative of s(l). What is m(y(f))?\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -19.23 and -87228156413?\nAnswer: 87228156393.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of 11*z**6\/20 + z**5\/30 + 5*z**4\/8 + 15*z**2. Find the third derivative of f(a) wrt a.\nAnswer: 396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -699*n**6 - 134*n**4 - n**3 - 15*n**2 + 230362*n wrt n.\nAnswer: -83880*n**3 - 3216*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 0 + 0)*(0*b + b - 4*b) + 207 - 207 - 28*b**2 + 2*b**2 - 2*b + 2*b.\nAnswer: -20*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of 5\/6*v**3 + 0*v**2 + 1\/24*v**4 + 0 - 1\/120*v**5 + v. Let m(d) be the second derivative of g(d). Determine m(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**5 + 0*h**5 - h**3 - h**3 + (-2*h + 2*h**2 + 2*h)*(1 - h**3 - 1).\nAnswer: -3*h**5 - 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 45921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23705.\nAnswer: 5, 11, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2448*n**3 - 6*n**2 - 18. Let g(b) = -2450*b**3 + 7*b**2 + 21. Give -6*g(z) - 7*s(z).\nAnswer: -2436*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6598993*z**5 + 9*z**2 + 62250 wrt z.\nAnswer: 395939580*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -544, 11, 2, -3, 5, -73 in increasing order.\nAnswer: -544, -73, -3, 0, 2, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-21)*(-2)\/((-40)\/(-5)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (486\/(-8))\/(11\/(-44))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 n when three letters picked without replacement from {m: 1, n: 3}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 0 (c) -4.1 (d) 276 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4*(-1*sqrt(832))**2.\nAnswer: -3326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a**2 + 24*a + 82. What is the remainder when 1195 is divided by j(-9)?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - x**2 - 2*x + 2. Let m be p(2). Let f be m*(-2)\/(-4) + 6. Suppose r = -f + 2. Which is bigger: -3 or r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by -121.\nAnswer: 20\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 5288668*f - 47598007. Calculate h(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 75078474 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12528, 100137, 337934, 801015, 1564476, 2703413, 4292922, 6408099?\nAnswer: 9124040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*i + i + 2*i + (-2*i + 5*i - 5*i)*(4 + 1 - 6))*(-2 + 6 - 5)*(-742 + 739 + 7*i + 0*i) in the form m + o*i + s*i**2 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39*1524814.\nAnswer: -59467746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/4, 4286, 2\/5, -3?\nAnswer: 4286","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 9 = 3*n, 5*n = -4*p - 9 - 6. Put p, -4, -3 in increasing order.\nAnswer: -4, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**3\/2 + 13*y**2\/4 + 95*y\/4 + 11 = 0. Calculate y.\nAnswer: -4, -1\/2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 6*s - 3*l = -52, -46 = -3*s - 4*l. Solve 15 = 5*t - s for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 9:03 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 86\/230781165 and -43\/12465.\nAnswer: 692343495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 371, 689, 1007, 1325, 1643, 1961?\n\"Answer: 318*h + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (488\/18*213\/284)\/(45\/135).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qtqy when four letters picked without replacement from tqytq?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 11, -6 in decreasing order.\nAnswer: 11, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 5 + 25 + 3 - 6 + 14*r as d*r + s and give s.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -p**5\/20 + 3*p**4\/4 + p**2 + p. Let d be s(9). Solve d + 4 = 2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1098 or -1099?\nAnswer: -1098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -106558 greater than 3131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 6*j = -z + 64, 4*z = 5*j - 59. Let r(i) = -i + 2*i**3 - 3*i**3 + j*i**2 + 1 - 19*i**2. Calculate r(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**4\/9 - 10*h**3\/3 + 22*h**2\/3 - 34*h\/9 = 0.\nAnswer: -17, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1248 and 26946720?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - s**2 + 2*s + 348. Give i(0).\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 237249, 474012, 710779, 947550, 1184325?\nAnswer: 1421104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131038 is divided by 43420.\nAnswer: 778","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -388 + 255. Let i = x + 67. Let g = -20 - i. List the prime factors of g.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 169 + -1983b7?\nAnswer: -19824a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1052108.\nAnswer: 2, 83, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8\/3 of a day?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 40\/10 - 566997\/(-1). What is h rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 865169 times -3\nAnswer: -2595507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12.22 - 0.22. Let y = -10.4 + f. Let p = 1.60036 - y. Round p to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 31*w + 1294. Determine g(-23).\nAnswer: 1110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.313 - -2.563. Let l = o - 2.65. Which is the nearest to -1\/3? (a) l (b) -0.5 (c) 2\/9 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -11*l**5 + 6613*l**4 - 164332*l**3 - 729340*l**2 + 138000*l = 0.\nAnswer: -4, 0, 2\/11, 30, 575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n**2\/4 + 271*n\/4 - 68 = 0.\nAnswer: -272, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(13) + 3) + sqrt(156)\/(sqrt(36)\/sqrt(3) + sqrt(12)).\nAnswer: 3 + 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 12*h**2 + 15. What is the remainder when 42 is divided by v(12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/7 + 240*q\/7 - 6142\/7.\nAnswer: -2*(q - 83)*(q - 37)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 36220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27909 = 609*c - 606*c. What is c rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 12:11 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7177\/25046 - 3\/3578. Let m = -0.104 - 3.896. Sort 6, m, f, 2 in decreasing order.\nAnswer: 6, 2, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d*n**2*u**2 + 15*d*n**2*u - 505*d*n*u**2 - 2*d*n + 2*d*u + 13*n**2*u + 5 wrt u.\nAnswer: 4*d*n**2 - 1010*d*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p. Let r(i) = 731*i. Calculate y(r(j)).\nAnswer: -731*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3852 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l**3*y**2 - l**3*y - 103*l**2*y + 14*l**2 + 2*l*y**2 - 48*y**3 + y**2 wrt y.\nAnswer: 2*l**3 + 4*l - 288*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -6, -7, -8, -9?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-21 - -4) - 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s + 3. Let t be r(4). Let p = t - 4. Is -6 less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, j: 1, q: 5, b: 2, h: 4}. What is prob of sequence hhh?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(1\/3))**4*(t**1)**(-50)*(t**(2\/5)\/t)**(1\/5)\/(t\/t**(-1))**(-39) assuming t is positive.\nAnswer: t**(2291\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 283343 and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211953618.\nAnswer: 2, 3, 593, 6619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-5)\/((4 + -1)\/(-3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16218\/7 - 18551\/8. Find the common denominator of s and -109\/460.\nAnswer: 6440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 6. Let i = -25996 + 25996.1. Which is the nearest to i? (a) -4 (b) -2\/13 (c) s (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 744.\nAnswer: -1\/372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -3, 5, -49, 0 in decreasing order.\nAnswer: 5, 0, -3\/4, -3, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**2 - 30*v + 36. Let j(r) = r**2 - 10*r + 12. Let f(k) = 3*i(k) - 8*j(k). What is the tens digit of f(16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (153\/72)\/(1\/(-18)). Suppose u - 6*u + 91 = 2*b, 3*u = -2*b + 85. Let q = b + k. Which is bigger: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2173 - 1232. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/13 + 90*b**2\/13 + 92*b\/13.\nAnswer: -2*b*(b - 46)*(b + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88345173.\nAnswer: 3, 7, 1901, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -484*r**5 - r**4 + 975*r**3 - 35773140*r**2 wrt r.\nAnswer: -29040*r**2 - 24*r + 5850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000541 to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2a + 16ac3?\nAnswer: 16a97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of g**6\/4 + 5*g**5\/12 + 25*g**3\/6 + 27*g**2. Let x(i) = -i**3 - i**2 - 1. What is -h(z) - 25*x(z)?\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-5) - 32\/(-20). Let g be (2 + -4)\/(-8 + k). Let n = -2\/31141 - -124594\/467115. Is n not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3002 (base 5) to base 8.\nAnswer: -571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -6*j - 1. Let b be d(-1). Suppose 24 = 4*a + 4*p, 0*p - 16 = -3*a - b*p. Calculate the remainder when 20 is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -8357*c**2 - 186*c**3 + 8869*c**2 - 4*c**5 - 512*c - 54*c**3 + 52*c**4 + 192 = 0.\nAnswer: 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20145 and -26.\nAnswer: -523770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -349 - -708. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + 5*5\/15. Sort 4, k, -4, -3.\nAnswer: -4, -3, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2610 and 31.01?\nAnswer: -80936.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 104*d - 51 + 105 - 54 as n*d + p and give n.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*s - 1021812 = -91284. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjdjjfddjjjdd. What is prob of sequence dd?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**7)**34 assuming a is positive.\nAnswer: a**238","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*i - 32 = 19*i + 4*u, 3*i = -u - 17 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0*n - 2*g = -1, 0 = 3*n + g - 11. Let w = 6 - n. Suppose w*s = -s + 28. Calculate the least common multiple of s and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102901542?\nAnswer: 2, 3, 17150257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/13, -4, 0.1, -3, 8\/3, -21339?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -1.2. Let y = 69.3 + -71.3. Let t = -2.2 + 2. Which is the third smallest value? (a) y (b) i (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 475122.6mm to micrometers.\nAnswer: 475122600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9886840*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -2\/7, 55.7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -167*i**3*y**2 - 160*i**3 - 918*i*y + 216*y**2 - 11 wrt i?\nAnswer: -1002*i*y**2 - 960*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -37. Let a(b) = b**3 + 23*b**2 - 26*b - 29. Let k be a(-24). Suppose 277 = k*m + 11. What is the lowest common multiple of h and m?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/18 of a week in seconds?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1066, 2, 3, 43 in descending order.\nAnswer: 43, 3, 2, -1066","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 11435\nAnswer: 34305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12872596 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -232115 plus 2141?\nAnswer: -229974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 9 = 4*a. Suppose g = -a*q - g + 13459, 3*q - 3*g - 13464 = 0. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0514 + 0.052. Round k to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 19*z**2 - 101*z + 91. Determine x(23).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 555338 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 8*w + 88. Let r(x) = -7. Let f(a) = -25. Let k(j) = -2*f(j) + 7*r(j). Calculate 2*c(y) - 176*k(y).\nAnswer: 16*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 486.2 - 886.1. Let m = -400 - i. Does m = 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33784.9 < 4\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -340, -678, -1016, -1354, -1692, -2030?\n\"Answer: -338*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 322944 and 10.\nAnswer: 1614720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 104 = 38. Let c(g) = 3*g**2 + 2*g - 3. Let z be c(-3). Suppose z = -2*w + 3*w. Calculate the highest common factor of p and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215445 is divided by 43078?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16503*l**2 + 4772*l**2 + 19168*l**2.\nAnswer: 40443*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 14 - 18 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that f**3\/3 - 38*f**2 + 1395*f - 16200 = 0.\nAnswer: 24, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5848900 rounded to the nearest 100000?\nAnswer: -5800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -171*n**3 - 19*n**2 - 128*n - 60. Does 30 divide y(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23426965 to the power of 1\/2, to the nearest integer?\nAnswer: 4840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21714\/504 + -44)*2?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -58. Suppose -2*b - 10 = -7*b. Suppose b*l + p - u = 90, -3*p - 122 = -2*l. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-6 - (21 + -11) - 8)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8825782 to the nearest integer?\nAnswer: 2971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86.86193 micrograms to nanograms.\nAnswer: 86861.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 4. Let h(m) = m**2 - 2*m + 2. Let k(t) = 1. Let g(r) = c*h(r) + 2*k(r). Find the second derivative of g(o) wrt o.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3)\/r**(-6))\/(r\/(r\/r**0*r))**5 assuming r is positive.\nAnswer: r**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/315468 and 65\/3753612?\nAnswer: 258999228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r - 7. Let q be p(6). Let s be (10\/(60\/(-18)))\/(3\/(-2)). Solve i + 22 = -3*v - s*v, -q*i = -5*v - 40 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 11:12 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 222*h**2 + 151*h**2 + 18*h**2.\nAnswer: 391*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y + 20, 0 = b + 1038*y - 1039*y for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 2846.\nAnswer: 25614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.4 + -47.4. Let d = z - -41.4. Let x = d - -7.6. Put x, -1\/7, -2\/11 in ascending order.\nAnswer: -2\/11, -1\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3360\/(-1785) + -1*(0 - 2)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 3) in base 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 342 - 977 = -2*k - 5*g, 0 = -k - 5*g + 310. Suppose 3*p - 23 = 4*d + 158, k = 5*p - 2*d. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12297 divided by -1.\nAnswer: -12297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 4*x**6\/3 - 14*x**5 + 60*x**4 - 400*x**3\/3 + 160*x**2 - 96*x - 301. Factor b(j).\nAnswer: 2*(j - 2)**4*(4*j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*x = 52. Suppose -x*b = -12*b - 5. Suppose 3*f + i - 62 = 0, -f - 3*i + 16 = -5*i. Calculate the greatest common factor of b and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 + 36 = 5*j + 67. Put -63, j, -5 in descending order.\nAnswer: j, -5, -63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a day in minutes?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.25? (a) -0.2 (b) 1\/6 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -555*-26527\nAnswer: 14722485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 18*i**2 - 15*i + 1104. Determine n(20).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-two sevenths of a week?\nAnswer: 46080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 117033 to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001888606 rounded to six decimal places?\nAnswer: -0.001889","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -101520*s**2. Let c(y) = -25*y. What is o(c(w))?\nAnswer: -63450000*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 211 - 141. Let c = 70.0000428 - b. What is c rounded to 6 decimal places?\nAnswer: 0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2623, 10, 2, -454 in decreasing order.\nAnswer: 2623, 10, 2, -454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.7079 to 1 decimal place.\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 3:07 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 6. Which is bigger: k or -7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, e: 6, v: 5, g: 2, h: 1}. What is prob of sequence vej?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 12 = 0, 2*h - i + 5*i = 12. Suppose 3*b - 15 = 0, h*b = j + 5*b - 30. Solve -2*k + 38 = -j*o + 7, -3*o = 2*k + 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -9 - (-133)\/70*5. Sort -1\/4, -6\/61, 2\/11, f.\nAnswer: -1\/4, -6\/61, 2\/11, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 6*l**2 + 39*l - 8. Let p be u(-10). Let g(o) = -10*o**2 - 16*o**p + 23*o**2 - 21*o**2. Let q(w) = 2*w**2. What is q(g(f))?\nAnswer: 1152*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 1829?\nAnswer: -365.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -156389 - -231849. Round m to the nearest 1000.\nAnswer: 75000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 493*a - 117. Calculate y(1).\nAnswer: 376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6\/23 + 41\/69. Let r(y) be the first derivative of 1\/4*y**4 + 3\/2*y**2 + 4 + 2*y + s*y**3. Calculate r(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -2*m. Suppose -t = -m*t. Let s = 4 + -2. Solve d = 4, -6 = -s*v - t*d - d for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**4\/23 + 118776*v**3\/23 + 1765722572*v**2\/23 + 66968878200*v\/23 + 635797261250\/23 = 0?\nAnswer: -29675, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 13) to base 8\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 - k**2 + (-3*k + 3*k + 7*k)*(-6*k + 4*k - 3*k) + 3*k**2 + 2*k**2 - 4*k**2 to w*k + q + x*k**2 and give x.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 88 = -0*s + h, 188 = 4*s + 4*h. Let u = 80 - s. Suppose u*k = 33*k - 7400000. Round k to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-6)*v)\/(v*(v\/((v**(-1)*v*v)\/v))\/v)*(v**(1\/4))**(7\/3) assuming v is positive.\nAnswer: v**(-65\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/5, -5, -2\/7, -11?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 2 + sqrt(832) + -5*(sqrt(832)*-1 + sqrt(832)) + -2)*6)**2.\nAnswer: 1728*sqrt(13) + 30276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 266108.06 to the nearest 100.\nAnswer: 266100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -351, -347, -343?\n\"Answer: 4*x - 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 807442704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 0 + 0)*(0 + 3 - 6)*(59 - 59 - 19*k).\nAnswer: -114*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 911769803?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 63 = -f - 3*f, 3*q - 29 = -2*f + 40 for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dq when two letters picked without replacement from dqqqqd.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182 = m - 4*l, -11*m + 10*m + 12*l = -158. Calculate the remainder when m is divided by 67.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/14)\/(-2*(-22)\/(-308)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 9*t + 15. Suppose -v + 14 = -2*u, 0 = -4*v + 3*u + 27 + 9. Determine x(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2)*-2 - sqrt(2))*1 + sqrt(12)\/(sqrt(6) + sqrt(6)*-2))*-3)**2.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 422 (b) 0.045 (c) -7 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8838799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 - 27. Which is smaller: f or 8?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 576*t + 2592 = 577*t - 3*n, 0 = 3*t + n - 7696. Is t a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + ((-1)\/(-3))\/(29\/(-87)). Let c be (-30)\/(-7) - 6\/21. Let m = -2 + c. Solve -5*q = 4*i - 1 + 10, v*i = -m*q - 2 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2d2 (base 14) to base 6.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, u: 7, i: 1, n: 3, b: 3, w: 3}. What is prob of picking 1 i, 1 u, and 1 w?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of 1\/2*d**2 + 0*d + 99. Let h(n) = 10*n - 20. Let z(k) = 1. Let p(b) = -h(b) - 20*z(b). Give o(p(y)).\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274*r + 49977 + 49946 - 99923.\nAnswer: 274*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -2*x - 12, 12 = -4*p + 5*p + 2*x. Let j(z) = -z**2 + 4*z + 3. Let a be j(p). Suppose 5*i + 3*v = i + 38, -v - 35 = -a*i. Is i a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in 2, -0.4, 4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 5*x**2 - 2*x - 4. Suppose 2*i + 2*i = 2*z - 42, z - 5 = -2*i. Suppose 3*q = z - 4. Let b be j(q). Solve 0 = 4*l + b for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 16, 1669*i - 2768 = 1667*i + 4*o. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 141254 (base 11) to base 16.\nAnswer: 3603f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3 + 18652*x**2 + 37292*x + 18644.\nAnswer: 4*(x + 1)**2*(x + 4661)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**3 + 2116473419080*i**2 - 2116473419080*i**2.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*w = 56*w - 33694. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/8812179 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -4*k + 397, 52 = 4*y - 3*k - 1441. What is the highest common divisor of y and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-17)\/t*t\/t**(-2\/3))\/(((t*t\/(t\/(t*(t*t**(-1\/14)*t*t)\/t))*t)\/t)\/t**(-12)) assuming t is positive.\nAnswer: t**(-1355\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - (-3066)\/9) + (-3)\/(-9). Suppose -2*l + y = 5*d - 4*d, 1730 = 5*d + 5*l. What are the prime factors of d?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: -2 - (4\/2 - 10)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11 + -2*10\/(-5). What is the tens digit of (-1040)\/(-6) - ((-10)\/o)\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffiiifiiif. What is prob of picking 4 i?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 10) to base 2.\nAnswer: -11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (48\/15 + -2)\/((-17)\/85)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 181843671 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08657834 to five dps.\nAnswer: -0.08658","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u - 3. Let k(r) = 11*r. What is q(k(w))?\nAnswer: 33*w - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 335.20099 rounded to one dp?\nAnswer: 335.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -30, -150, -450, -1020, -1950, -3330, -5250?\n\"Answer: -15*f**3 - 15*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -62.65 + 44.65. Which is the third smallest value? (a) -4 (b) -8 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1232 and 1064.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, -5, 2\/11, 0.6?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 32 = -0*i + 4*u, 3*i + 2*u = 19. Let p be (36\/(-150))\/6*-2. Let t = 18 - 13. What is the nearest to p in t, i, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 5*l + 5. Suppose -12 = s + 2*s + 2*h, -2*h = 2*s + 6. Let b be d(s). List the prime factors of b\/(-1*(-3)\/(-30)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t = 13*t + 8*t - 372 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 195097650 divided by 1182410\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 5)*(2*n - 5*n**4 - 2*n) - 2*n**4 - 2*n + 2*n.\nAnswer: -17*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4*k - 100 = 0, -2*q + 3*q + 20 = -5*k. Let n be (-11)\/(-15) - (-8)\/q. Factor -2\/3*x**2 - 1\/3*x**5 + n*x**4 - 1\/3*x + 2\/3*x**3 + 1\/3.\nAnswer: -(x - 1)**3*(x + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38609 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -4*p - 2*q, -25 + 48 = 4*q + 11 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19396?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7732, -3, 41.\nAnswer: -3, 41, 7732","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 301249811 = 301249808?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -8537*r - 674445. Determine x(-79).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1)**9*((v**(-3)\/v*v)\/v)**16)**(37\/4) assuming v is positive.\nAnswer: v**(-2035\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -4, -3, 40.\nAnswer: -4, -3, -2, -1, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/48)\/(92\/552)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 110*(1\/(-9))\/(18\/(-81)). Let d be (84\/16 + 1\/4)*6. Calculate the highest common divisor of d and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5732*z**2 + 6830*z**2 + 5954*z**2 + 11565*z**2.\nAnswer: 18617*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48970)\/(-177)*321\/(-1070)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-129*2\/154 + (-940)\/(-564))*66\/(-22)?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a factor of 111541877?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f - 17. Determine x(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3 + v**2 - 5*v**2 + v**2 + 2*v**2 - 4*v. Let c be f(-4). Suppose -39 = -c*n - 0*n. What is the greatest common factor of 117 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1013.688 and -3?\nAnswer: 3041.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, m: 1, u: 11, a: 3, i: 1}. What is prob of sequence iamu?\nAnswer: 11\/31008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18722\/(-40848)*(-4)\/(-22).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 16. Let y(t) = -2*t - 6*t**2 - 4*t**2 - 3 + 8*t**q - 43*t**3. Is y(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**2 - g + 5. Let v(a) = -1. Let k be (-26)\/(-22) - 4\/22. Give k*y(n) + 5*v(n).\nAnswer: -2*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*p**2 + 118*p - 118*p.\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -64\/19*o**3 + 10\/19*o**4 + 6*o**2 - 36\/19*o + 0.\nAnswer: 2*o*(o - 3)**2*(5*o - 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p**3 - 13*p + 7. Let n(f) = -f**3 - 4*f + 2. Suppose -3*o - 1330 - 317 = 0. Let v = 925 + o. Let s be 2\/(-7) + v\/(-56). Calculate s*n(q) + 2*a(q).\nAnswer: q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8640 = -199*w + 345*w - 254*w for w.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 5*a + 35 = 0. Which is smaller: 20\/3 or a?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 3*i + 24, -4*j + 3*i = -20 - 14. Suppose -j = -5*m - 5*q, 3*m = -2*m + q - 2. Suppose -p = -m - 7. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 3*r = -3 + 56, -v + 11 = -6*r for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-4)\/10)\/(1440\/(-24900)) and 107\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 13 (b) -0.2 (c) 2\/11 (d) -2\/5 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than 14214?\nAnswer: 14214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1356 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9924 (base 13) to base 16.\nAnswer: 534c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 8*a - 1. Let i be t(2). Let o = 30 + -50. Let j = -20 - o. Solve -2*h + k = -j*h - i, -10 = 2*k for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.06, -0.13, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 13*b**2 - 25*b + 37. Let q be u(11). Solve -f = q*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + c - 1. Let j(p) = -32*p**2 - 7*p + 5. Determine 5*b(y) + j(y).\nAnswer: -27*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26250 is divided by 1008.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -192096, -384180, -576250, -768300, -960324, -1152316, -1344270, -1536180?\nAnswer: -1728040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 4452\nAnswer: -890.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245 = -44*u - 5*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((-84)\/35)*(-4)\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that i**3 - 9621*i**2 - 19281*i + 336805 = 0.\nAnswer: -7, 5, 9623","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h + 9*h**2 + 1694 - 1677 + 0*h - h. Suppose 3*p - 15 = 2*a, 0*p - 3*a = -5*p + 24. Let j(r) = 2 + 9 - 3 + p*r**2 - 2. Calculate -8*j(m) + 3*q(m).\nAnswer: 3*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p = -10*p - 840. List the prime factors of p\/(-252) + 1918\/12.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5\/35)\/((-10)\/(-4)). Let n(x) be the first derivative of 2 - 4\/7*x**3 - c*x**5 - 2\/7*x + 4\/7*x**2 + 2\/7*x**4. Find o such that n(o) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 959259 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320*g + 96*g + 91*g = -3735 + 44802 for g.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 y, and 1 b when three letters picked without replacement from yyyyyzmtyzetzebeemmm?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 0.2, 311\/6, 0.\nAnswer: -5, 0, 0.2, 4, 311\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2203887*w. Let c(y) = 45*y. What is r(c(j))?\nAnswer: 99174915*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 39*z - 29*z. Which is the nearest to 0.2? (a) -2 (b) z (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81140?\nAnswer: 2, 5, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -455 = -2*s + 3*s + 2*c, 3*c = 2*s + 910. Suppose 8*y = 43*y + 70. Let z be (s\/(-14))\/(y\/(-64)). What is z rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 6:29 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j**2 + 120*j + 1876. Determine d(52).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 302362 and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 313*i**5*m*v + 7*i**2*m - i*m + 1892*m*v wrt i?\nAnswer: 6260*i**3*m*v + 14*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**4 + 20*n**3 - 15*n**2.\nAnswer: -5*n**2*(n - 3)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -122 - -101.7. Let a = o + 17.3. Which is smaller: a or 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3177886 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 333 a factor of 3198287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 341 and 62.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 3315, 5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3214 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3255275 and 22975.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6\/7 (b) -3 (c) 8 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15993 divided by -1105?\nAnswer: 15993\/1105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2695, -2, 0.6, -3 in ascending order.\nAnswer: -2695, -3, -2, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -144\/7*x**5 - 150\/7*x**4 - 6\/7*x**2 + 0 + 0*x - 52\/7*x**3 = 0.\nAnswer: -3\/8, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 1364 = -4*u, u + 4*o - 8*o = 331. Suppose -6*c + u = -3*c. Suppose -k - 280 = -3*m, m + 5*k = c + 7. What are the prime factors of m?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x + 1. Determine w(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -2.6, -206, -5, -0.5 in increasing order.\nAnswer: -206, -5, -2.6, -0.5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -314?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.9 - -3. Suppose 3 = y - 2. What is the closest to d in y, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9046 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2441\/860 + -108\/43. Find the common denominator of u and 0 - (-2 - (-333)\/30).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 3*p + 64. Suppose 10455 = p*j - 37529. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ibbi when four letters picked without replacement from biviiibiiibcb.\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 11*l. Let m(q) = -13*q. Let a(j) be the third derivative of 8*j**4\/3 - 61*j**2. Let t(y) = 5*a(y) + 24*m(y). Determine o(t(r)).\nAnswer: 88*r","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 7*z - 2*o - 165907, -4*o = 2*z - 66358. Let h = z - -19. Round h to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8978, -35288, -79136, -140522, -219446, -315908?\n\"Answer: -8769*q**2 - 3*q - 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9.329 and -18.612.\nAnswer: 173.631348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-8)*g)**(-7)\/(((g*g*g**(2\/73)\/g)\/g)\/(g*g*g**(-2)*g*g)))**(-2\/79) assuming g is positive.\nAnswer: g**(-6420\/5767)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 210 + -206. Which is the fourth biggest value? (a) -3 (b) f (c) 5 (d) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 26822755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + ((0 + 5)*-1 - -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004315854547 to seven dps.\nAnswer: 0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2\/61, -34 in descending order.\nAnswer: 3, 2\/61, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 17594611 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*a - 106 - 255*a**3 + 106 + 42*a + 7*a.\nAnswer: -255*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0010188764 to 7 decimal places.\nAnswer: -0.0010189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + r + 2*r)*(0 + r**2 + 0)*(-7*r + 16*r - 8*r).\nAnswer: 6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 11545*i + 11550*i + 31 = 0, i = 5*b - 20 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24618 less than 20285.77?\nAnswer: -4332.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 a factor of 599067?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 15, 3*m + 91*b - 93*b = 1320297. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*0.07166.\nAnswer: 0.28664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 12:00 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 953?\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8571 is divided by 421.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 12 = 10. What is the second derivative of -21*n**3 - 17 - 30*n**3 + 2 + n + i wrt n?\nAnswer: -306*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -7887*m**2\/7 - 23655*m\/7 + 18\/7 = 0. Calculate m.\nAnswer: -3, 2\/2629","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 4*f - 24, 69*f = 72*f - 18 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 > 53\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 10:34 AM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 37 = 4*v. Suppose -113*g + 3*z = -114*g - 1, -3*z = -g - 1. Put -2, g, 1, v in decreasing order.\nAnswer: v, 1, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22 - 16 + 414*z - 22 + 60 in the form c*z + m and give c.\nAnswer: 414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((6 - 3 - 2)*(2 - 2 + i) - 125*i - 159*i + 250*i)*(2*i**2 - 3*i**2 + 3*i**2)*(-15 - 12 + 12) to g + j*i + a*i**2 + t*i**3 and give t.\nAnswer: 990","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01221623 to 4 decimal places.\nAnswer: 0.0122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(4*25\/20).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7108, 7101, 7094?\n\"Answer: -7*f + 7115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-24)\/18)\/((-2)\/3). Suppose 12 = -k + 5*k - d*f, 0 = -k - 2*f - 2. Suppose -k*t + 5*t + 5*y - 20 = 0, 10 = -2*y. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**3 + 40*y**2 - 1292*y + 1248 = 0. Calculate y.\nAnswer: -24, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5744 + -0.3794. Is 9 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 668851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18872 is divided by 111?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 328 divide 124884360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -16 + (-7 - (-1 + -9)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millennium in months?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100110 - -11101011000000?\nAnswer: 11101001011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.585605 hours to microseconds.\nAnswer: 12908178000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -5 + (3 - (2 - 3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 6:10 AM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llle when four letters picked without replacement from lllllllllelellelllll.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -4*i**3 - 8*i**2 + 6*i + 6. Let l(m) = -3*m**3 - 7*m**2 + 5*m + 5. Determine 6*l(z) - 5*n(z).\nAnswer: 2*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23.9 + -23. Sort b, -0.5, 2\/7.\nAnswer: -0.5, 2\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, x: 1, p: 1, i: 4, u: 2, g: 2}. Give prob of sequence ij.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -200.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*((-21385)\/188)\/65.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(sqrt(24)\/sqrt(2)))\/sqrt(2).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 79747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 5. Which is smaller: 4\/3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*g)*(-g + 2*g - 2*g)*(-2 - 4 + 5)*(-59*g**2 - 45*g + 45*g).\nAnswer: 118*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1024.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 70\/(-7)*2\/4. Let y = 856 + p. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187*x = x + 2777166000. What is x rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-12432)*-74 + (-195)\/(-28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -0.2, 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 94\/(-8) - 2\/8. Let t = s - -23. Let x = -20114 - -20115. Calculate the greatest common divisor of x and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -7. Suppose 4*u = -5*q + 18, 2*q + 5*u - s = -0*u. Suppose q*t - 44 + 10 = 0. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 12110010000122021?\nAnswer: -12110010000122102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/3)\/l)**(-24\/5)*(l\/(l*(l**(-3)*l)\/l))\/l**(-4)*l**(-2\/7)\/l**1*l\/(l*l**3)*l*l**(-4) assuming l is positive.\nAnswer: l**(54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 19 - 21 - s)*((0 + 0 - 1)*(80*s + 35 - 160*s + 78*s) - s - 2*s - 2*s).\nAnswer: -3*s**2 - 29*s + 70","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8476099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2a0512 - 1?\nAnswer: -2a0513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -20, 0, -5, 5 in descending order.\nAnswer: 5, 2\/3, 0, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.8 + 1. Let f(g) be the second derivative of g**3\/6 + 5*g**2 + 2*g. Let n be f(-5). Put 5\/4, n, p in descending order.\nAnswer: n, 5\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 83*n - 89*n - 6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7 + -7 + (0 - -3). Suppose -5*h + 12 = -c, 2*c + 1 + t = 0. What is the second derivative of h*k**5 + 10*k - 3*k**5 - 6*k wrt k?\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 726 is divided by 113?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 46877468219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1622321044892 and 0.3.\nAnswer: -1622321044891.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 + 35. Solve t*v + 8 = 6*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 8:24 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - -1) + (-63 - -54).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12.40821912 + -0.59178113. Let j = 13 + u. Round j to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**3 + 16*k**3 + 2*k**2 - 14*k**2 + 4*k - 4*k**4 = 0. What is k?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express n + 0*n + 4*n + (-8 - 8 + 3)*(-2*n - 2*n + 6*n) in the form a + k*n and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*g - 18*g - 95. Put g, -1, 1 in decreasing order.\nAnswer: 1, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 26*h + 278. What is d(-11)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*h - 40*h + 752 = 0. Solve 0 = -4*k - h, -k + 16 = -4*d + k for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 23*f + 89. Calculate d(24).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 - 24.4. Let s = -0.2 + h. Let i = 2 + -1.9. What is the third smallest value in i, -1\/6, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(351) + (sqrt(351) - sqrt(351)*-2))\/sqrt(9))\/(sqrt(12)\/sqrt(4)*4).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22487 is divided by 173?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 532504858 to the nearest integer?\nAnswer: 811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43 + 151. Let k = -108 + z. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4022510 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 13 + -5 - 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12862, 51380, 115576, 205450, 321002, 462232?\nAnswer: 629140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 82 = -3*d + 2*x, 0 = d + 2*x + 32. Is -3 - 24\/(-7) - 7352\/d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 38 or 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wjx when three letters picked without replacement from {x: 1, n: 1, j: 5, w: 3, m: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -254 - -218. Let r be (-640)\/a + (0 - 6\/(-27)). Is r greater than 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2123 (base 5) to base 12.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12 - -14)*2\/2. Suppose 11*f + 13 - 68 = 0. Solve l - g = 5, 0 = -f*l + s*g - 3*g + 25 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 5*c - 5. Let u be m(-5). Let p be -2*(-5)\/(-10) + 3*(-3)\/(-9). Sort -10, p, u, 1 in decreasing order.\nAnswer: 1, p, u, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6972 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 4. Let h(r) = -2 - 475*r**2 - 2*r + 4*r - 2*r**3 + 477*r**2. What is the units digit of h(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13508 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/112 and -101\/240?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -72 divided by -94\nAnswer: 36\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405)*2 - sqrt(405)) + sqrt(45) + sqrt(45)*-2*1)\/(4*(4*sqrt(81) + sqrt(81) + sqrt(81) - sqrt(81))).\nAnswer: sqrt(5)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 p when four letters picked without replacement from pyyppppy?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -626558611 divided by 133\nAnswer: -4710967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 4:56 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -y**4\/8 + y**3\/6 - 60*y**2. Let h(o) = o - 1. What is -4*h(n) - 4*l(n)?\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0065 and 0.398.\nAnswer: 0.4045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -51 times -1248828\nAnswer: 63690228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 + 0 + (64 + -60 - 40)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jljyyjylyjjjyyy. What is prob of sequence llj?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 10494, -4, 0.5, 0.023, 4?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/((-2*sqrt(3) - sqrt(3))*3) - (sqrt(52)\/(sqrt(4)*1) - (sqrt(832) - (sqrt(832) - (sqrt(832) + sqrt(832) + 1*sqrt(832) - sqrt(832)))**2)).\nAnswer: -832 + 62*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) -1\/76 (b) -15 (c) -362 (d) 4 (e) 3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3675.6 take away -0.9?\nAnswer: -3674.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-2077)\/(-217) + 4\/(-7) and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 6*b**3 + 3*b**2 - 3. Let x = 329 - 503. Let c = -177 - x. Let n(m) = 5*m**3 + 2*m**2 - 2. Calculate c*n(a) + 2*s(a).\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3012 (base 4) in base 12?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.1 (b) 3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 630 = -142*d + 107*d + 80*d for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a**3 - 18860*a**2 - 831580*a - 546000 = 0. Calculate a.\nAnswer: -42, -2\/3, 1300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a micrometer in nanometers?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3*f + 405221, 1215653 = 18*t - 15*t - 4*f. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*c**2 - c**2 + 3*c**2)*(4*c**2 - 13*c**2 - 7*c**2) - c**4 - 2*c**4 + 2*c**4 to the form r*c**2 + h*c**3 + a*c + o*c**4 + i and give o.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006967643 rounded to six decimal places?\nAnswer: -0.006968","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**2 + 4. Let p(f) = -1. Let s(r) = b(r) - 2*p(r). Differentiate s(q) wrt q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/21 - 26\/(-6). List the prime factors of (-259)\/(-28) + 3\/u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((2*sqrt(76) + -1 - (sqrt(76)*-1 + 1)) + -1)**2.\nAnswer: -36*sqrt(19) + 694","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -8 - -6 - 5 - 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 780195637?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1803313\/1008 + -1789. Let a(f) be the third derivative of -p*f**8 + 0*f**3 + 1\/315*f**7 + 0*f**5 + 0*f**4 + 2*f**2 + 0*f + 0 - 1\/360*f**6. Factor a(d).\nAnswer: -d**3*(d - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3752 or 3751?\nAnswer: 3751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*(16\/21)\/8.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*y = -5*f + 25, 5*y + 15 = 3*f. Suppose y = -4*x - 3*b + 387, -6*b = x - 3*b - 108. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/481 in 1, -17\/5, -4, -49\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13366067?\nAnswer: 11, 13, 151, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x + 3*o - 1, 2*o + 150 = 2*x + 174 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33 - -3211?\nAnswer: 3244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2059685817 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 + ((-15 - -36) + -39 - -14)?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/24 + -1*2 + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -212 + 216. Suppose 326*k - 330*k = u. Sort 2, 31, k, 0.\nAnswer: k, 0, 2, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/18)\/((-105)\/(-90))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -1. Let h = 2\/65 - -1026\/455. Is h less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s - s + 4*s + (-2*s - 3*s + 3*s)*(1 + 0 - 4) + (5 - 5 + 3)*(0 - 1 - 9)*(-3*s + 11 + 4*s - 7).\nAnswer: -25*s - 120","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -17200 rounded to the nearest one hundred?\nAnswer: -17200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((510\/(-21))\/17)\/(1*(-5)\/84)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.061 + 0.061026. Round m to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -104 + (4517 - 4421) + -142 + (1 - 2)\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 1093*u + 27582. Determine i(26).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/2)\/(-4 + 3). Let y = 5.25219 - 0.25219. What is the biggest value in y, -0.02, z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cyddyzzo. What is prob of picking 1 z, 1 c, and 1 y?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*j, 0*u + j + 301 = 5*u. Suppose -x + p + 10 = -2, p = -5*x + u. Solve h + x = -3*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -29 + -e9?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 13\/1 - (10 + 4). Sort x, 5, 0, -17, -2 in decreasing order.\nAnswer: 5, 0, x, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54525.88 kilograms to milligrams.\nAnswer: 54525880000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (53\/106)\/((-14)\/8)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -487 - -9255\/19. Let g(c) = -c**3 + 4*c**2 + 4*c + 4. Let x be g(5). Let r be (4\/(-48) - x\/(-4))\/1. Put t, r, -0.1 in descending order.\nAnswer: t, -0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.043947309 rounded to 5 dps?\nAnswer: 0.04395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 571*h**2 + 91*h + 922*h**2 - 116*h + 25*h.\nAnswer: 1493*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2559 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of 41\/3*y**4 - 1 + 66*y + 11\/3*y**3 + 0*y**2. Find the second derivative of x(z) wrt z.\nAnswer: 328","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.78397 grams to kilograms.\nAnswer: 0.00378397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*i - 2100 = 229 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 331 + 1293 = 5*z, -2*z - 4*h + 672 = 0. Is z a multiple of 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07*436796.\nAnswer: 30575.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000138 to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - 35) + (-62 - (-46 - 57))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t - 2. Let d be z(-9). Let l = 18 + -4. What is the greatest common factor of l and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -241 - -221.2. Let j = d + 19.299. Round j to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/1 + (-15 - -21)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 13*l**3 + 11*l**2 - 125*l + 10. Let o(z) = -6*z**3 - 6*z**2 + 62*z - 4. Let u(t) = 2*f(t) + 5*o(t). Factor u(w).\nAnswer: -4*w*(w - 3)*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -996\/11 - -4969\/55. Sort 0.6, 2\/11, q, -0.073.\nAnswer: q, -0.073, 2\/11, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b + 3*b + b)*(-6*b + b + 4*b - 36)*(2 - 6 + 5)*(-2 + 4 - 4) to the form m + o*b + a*b**2 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**2)**27 assuming a is positive.\nAnswer: a**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1657576 is divided by 896?\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**2. Let q(s) = 7*s + 0*s - 3*s + 5. Let g(c) = -3*c - 4. Let n(h) = -5*g(h) - 4*q(h). Give y(n(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1004*n + 32583 = -4565 for n.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*p + 55, -20 = w + 3*w. Let q = p - -17. List the prime factors of -8*((-13)\/q - -2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 442533?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -h**3\/6 + 3*h**2\/4 - h - 103. Factor g(f).\nAnswer: -(f - 2)*(f - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**5*m - 25*k**5 + 2*k**4*m + 43*k**2 + 3*k*m wrt k.\nAnswer: 60*k**2*m - 1500*k**2 + 48*k*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -397*j**3 - j**2 - 5*j**5 - 105*j**4 - 163*j**3 + 4307*j + 97*j**2 + 6000 + 264*j**2 + 893*j = 0?\nAnswer: -10, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23219277?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 814771.5 millimeters to centimeters.\nAnswer: 81477.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 52\/(-8))\/(1\/18). Let p be 66\/8*(-8)\/(-2). Suppose 5*u - p = 2*u. What is the highest common divisor of m and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (30\/(-7))\/(2\/14). Let g be (k\/(-7) + -4)*14. Solve g*n - 1 = 3*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -4*d - 31. Let v(s) = -9*s**2 + 94*s - 51. Let g be v(10). Give k(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 12*j + 103. Let n be f(-8). Solve n*z - 1 = 8*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -24, -72, -150, -264?\nAnswer: -420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, a: 2}. What is prob of picking 2 a and 1 d?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 124c (base 13) to base 12\nAnswer: 1607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*u + 190*u = -163*u + 7488. Suppose -2*o = -3*o + 103. Calculate the remainder when o is divided by u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68215*g**2\/2 + 9731*g + 4 = 0. What is g?\nAnswer: -4\/9745, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/263406 and -107\/3112980.\nAnswer: 34242780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*b + w - 447039 = -78*b, 2*b - 178812 = -w. List the prime factors of b.\nAnswer: 3, 29803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 64.32071 grams?\nAnswer: 0.06432071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*i + 22*i + 2080 = -5672. What is the least common multiple of 33 and i?\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.544561g in micrograms?\nAnswer: 544561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -376068*l - 1431731 wrt l.\nAnswer: -376068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 15509 + 0?\nAnswer: 15509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 101754347 a multiple of 1117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -281\/18, -347, -1 in descending order.\nAnswer: -1, -281\/18, -347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -320\/11, 4, 5, -2\/9, 2, 4\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g - 7*g + g)*(385 - 54 + 582 + 903) to k*g + m and give k.\nAnswer: -7264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -614727 + 5?\nAnswer: -614722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 10:41 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**2. Let j(h) = h**2 + 4*h - 11231. Determine j(s(q)).\nAnswer: 4*q**4 - 8*q**2 - 11231","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1263779 to the power of 1\/2, to the nearest integer?\nAnswer: 1124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -28 and 2.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 125*t**2 + 24 + 133*t**2 - 9.\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -5*h**5\/8 + h**4\/2 + 21*h**3\/8 - 2*h**2 - h\/2 = 0.\nAnswer: -2, -1\/5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20097 by -77.\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 - 5)*(0*z + 6*z - 2*z) + 1430 + z + 716 + 3126 to the form x*z + i and give i.\nAnswer: 5272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 42106350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 + 9 - -32) + (-16 - (-21 - 2)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/5))**(-42)\/((q\/((q**(1\/6)*q)\/q*q)*q)\/(q\/(q**7*q))) assuming q is positive.\nAnswer: q**(269\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 114382, 114390, 114400, 114412?\n\"Answer: o**2 + 5*o + 114376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(-9\/7)*l\/l**(1\/7)*(l\/(l*l*l**(-5\/2)))\/l**15 assuming l is positive.\nAnswer: l**(-181\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -3 (b) -1\/3 (c) -0.2 (d) -2\/71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-17))**(-50)\/(a**(-1\/13)\/a)**(2\/9))**(-1\/4) assuming a is positive.\nAnswer: a**(-49739\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5304694541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 3*o = 44. Differentiate 32 - o + 5*c**3 + 2*c**3 wrt c.\nAnswer: 21*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2541 (base 7) to base 16\nAnswer: 3c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000466038506 rounded to six dps?\nAnswer: 0.000466","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288)*6 - 5*-2*sqrt(8))\/(sqrt(100)*-2 - sqrt(100) - (sqrt(576) - sqrt(576)*-3)))**2.\nAnswer: 4232\/3969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-70)\/126*(-5 - -2)*3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f + 4. Let c = 18 - 30. Let i be c\/102 - (-106)\/34. Calculate d(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -50, 5528.\nAnswer: -50, -1, 5528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*b + 3 + 99*b**2 - 3 - 96*b**2.\nAnswer: 3*b**2 + 25*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*h - 292*h + 1725 = -145*h. What is the remainder when h is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 904698.8 centimeters to micrometers.\nAnswer: 9046988000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j - d = -4 + 18, -11 - 1 + 0 = -3*d for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 432 = -19*z + 28*z. Calculate the smallest common multiple of z and 8.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**(-2\/3))\/i)\/i)**(-40)*(i*i\/(i**(1\/2)\/i))\/i**0 assuming i is positive.\nAnswer: i**(95\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.7252464 millennia?\nAnswer: 725.2464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.57 + 12.57. Suppose v = 4*p, 3*v = -4*p - p. Which is the second biggest value? (a) p (b) h (c) 1\/5 (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11166 and 7458?\nAnswer: 13879338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of m**8\/2 - m**4\/2 + m**3\/6 - 14*m - 37. Let j(a) be the first derivative of k(a). Find the third derivative of j(o) wrt o.\nAnswer: 3360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6180484 - -13283503. Suppose 0 = -3*n - z - 6456013. What is n rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 z, and 1 w when three letters picked without replacement from chychzczchwzpc.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w - 2*w - 2*w)*((4*w - 2*w - 3*w)*(2 + 0 - 1) + (0 - 6 + 2)*(-w - 2*w + 2*w)) in the form k*w**2 + z*w + l and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -75, -113, -153, -195, -239, -285?\nAnswer: -333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3022 + 121020?\nAnswer: 130102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1779525 and 3465.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (780*h - 5 + 87*h + 7)*(-1 - 7 + 4).\nAnswer: -3468*h - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 65*s*v**3 - s*v**2 + 3*s - 2*v**3 - 3*v**2 - 226 with respect to s.\nAnswer: 65*v**3 - v**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, o: 5, p: 3, j: 4, m: 1}. Give prob of sequence jo.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/2)\/(52332\/(-42720)).\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/30582 and 67\/5980480.\nAnswer: 53824320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -389 - -390. Which is smaller: 16\/7 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 479 divide 29723866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -12. Suppose 0 = 4*h + 6*u - u - 12, -z*h + 15 = -u. Suppose 0 = c + 2*f - 6*f - 47, -4*f = -h*c + 117. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a decade in years?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7529031.\nAnswer: 3, 92951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -26*y**5\/9 - 1190*y**4\/9 + 8212*y**3\/9 - 11168*y**2\/9 - 7232*y\/9 + 13312\/9 = 0?\nAnswer: -52, -1, 16\/13, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11539.0996 rounded to the nearest 10?\nAnswer: 11540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(133) - 1*(sqrt(133) - -1*sqrt(133))) + sqrt(133) + -2*(2*sqrt(133) + sqrt(133)))*-2)\/((1*sqrt(77)*-3 + sqrt(77) - sqrt(77))\/(1*sqrt(11)*6)).\nAnswer: 120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 145?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 76 or 1416\/19?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g**14*g))**44*((g\/g**11*g*g*g)\/g)\/(g\/(g**14*g*g)))**33 assuming g is positive.\nAnswer: g**(-18645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(128)*2 + -2 + -3)**2*2.\nAnswer: 320*sqrt(2) + 1074","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12121001 - -10?\nAnswer: -12120331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of 1\/3*b**4 - 10*b**2 + 0*b**3 + 0*b + 0. Let k(c) = -4*c + 0*c + 2*c. Give v(k(m)).\nAnswer: -16*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17506\/291 or 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 240 and 336?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 9*g**3 + 4*g**2 + 11*g + 7. Let l be -3 + (40\/50)\/(2\/(-20)). Let h(f) = -5*f**3 - 2*f**2 - 6*f - 4. Determine l*h(n) - 6*y(n).\nAnswer: n**3 - 2*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 81\/18*(-5 - (-145)\/3). Let j be (-3)\/(-2)*(-10)\/k*-26. Suppose -10\/3*l - 14\/3*l**j + 4\/3 = 0. Calculate l.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1907 is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 4*p + 3. Suppose -2*h + 4*g - 1 = 5, -h + 3*g - 3 = 0. Calculate a(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -156*g - 1. Let q be c(-7). Let w = -25097\/23 + q. Which is greater: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*p = -4*v + 24*p - 13, 5*p = 5*v + 10 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.1 and 40973771729.\nAnswer: 40973771727.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -265\/8 or -34?\nAnswer: -265\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 1 - 7*m + 8*m)*(0 + 3 + 0).\nAnswer: -6*m + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6301168.66 rounded to the nearest one hundred?\nAnswer: 6301200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 4*l + 1. Which is smaller: l or -7\/4?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*v**3 + 27*v**3 - 3*v**3 + 20*v**3.\nAnswer: 29*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, p: 2, k: 2, d: 3, t: 2}. Give prob of picking 2 o and 1 p.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (44 - (100 + -11)) + (-1 - -16)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n - 1. Let c be l(5). Let s = 22 - c. Is s a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -45 (c) -0.5 (d) -0.3 (e) 3729 (f) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 11:27 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 246 divided by 2648335\nAnswer: 246\/2648335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + -31488.6\nAnswer: -31488.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 564\/(-10) - (-4)\/10. Let v = w + 394\/7. Is 0 at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 54*j**6*w + 7*j**4*w + 4*j**2*w + 360*j*w wrt j?\nAnswer: 6480*j**3*w + 168*j*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((1*(-1*sqrt(22)*1 - sqrt(22)))\/((-1*sqrt(2904))\/sqrt(12)) + -5)*-1)**2.\nAnswer: -20*sqrt(11)\/11 + 334\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**4 + 1530*m**3 - 339366*m**2 + 17098078*m = 0. What is m?\nAnswer: 0, 71, 347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 117877676 to the power of 1\/4, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 4:06 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 246, 572, 912, 1266, 1634, 2016, 2412?\n\"Answer: 7*n**2 + 305*n - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 35 + 100. Suppose 3*n = 2*p + 3*p - 21, 5*p - 17 = n. Suppose -q + p = -t. List the prime factors of q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppdddsidpppdddpttp. What is prob of picking 4 d?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4390.4 + 4391. Sort w, 0.4, 0.08, -1.\nAnswer: -1, 0.08, 0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1485*f + 1364*f + 4114 = 0 for f.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9852 - 10667 = -32*v - 70607. Is v less than or equal to -2181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 401*d - 17 - 396*d)*(23*d**2 + 32*d**2 - 18*d**2).\nAnswer: 185*d**3 - 1110*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 1) + -9 + 5 + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7184 - 7183. Put 2\/30149, -5, m in descending order.\nAnswer: m, 2\/30149, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144 divided by -8.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-70) - 21\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -952362 divided by -6?\nAnswer: 158727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of 3*t**5\/110 + 43*t**4\/66 - 10*t**3\/11 + 395*t. Solve m(f) = 0.\nAnswer: -15, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/27)*s)\/(s\/s**(-1\/9)))\/(s*s**3)**30 assuming s is positive.\nAnswer: s**(-3242\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -50\/13, 0, 1, -13, -10\/13, -22\/3?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -76 - -79. Is -2 not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 i, and 1 e when three letters picked without replacement from iiiiisdsiiieizssdi.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - f - 4*f - 5, 0 = -t - 5*f - 17. Let x be (108\/15)\/(333\/(-30)). Are t and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.2? (a) -1 (b) 1\/8 (c) -4 (d) 0 (e) 0.0298\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*i - 21*i - 9010 = -7*i. Calculate the smallest common multiple of 848 and i.\nAnswer: 4240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8780307150?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*j + 8, 5*d - 4*j - 4 = 14. Let n(s) = 2*s - 2*s**2 - d*s. Let z(k) be the first derivative of -2*k**3\/3 - 5. Calculate n(z(o)).\nAnswer: -8*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.802134mg?\nAnswer: 0.000000802134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -25070 to the nearest 1000.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -32756926017 plus 1066?\nAnswer: -32756924951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.84828ml in litres?\nAnswer: 0.01984828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.0185, 1, -1, 5\/4, 0, 108\/11, -3?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of 0*r + 0*r**5 - 161\/6*r**6 - 64\/3*r**3 - 154 + 1\/2*r**2 + 0*r**4. Find the third derivative of u(z) wrt z.\nAnswer: -9660*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -88.24131 to the nearest integer.\nAnswer: -88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {n: 1, t: 4, y: 1, o: 5}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/2488 and 31\/311?\nAnswer: 2488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -74266963*j**2 - 4622408*j wrt j.\nAnswer: -148533926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.6 + 0.4. Let p(t) = 5*t - t + t**2 + t. Let i be p(-4). Which is the nearest to -2\/5? (a) i (b) m (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w + 41443*w**3 + 2*w**2 + 0*w**2 + 202 - 41442*w**3 - 56 to the form a*w + b + s*w**2 + r*w**3 and give b.\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -54\/385 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 7.865699 nanograms?\nAnswer: 0.000000000000007865699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-140)\/420 + (-31198)\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33590*k - 445498*k - 208792*k - 69345*k.\nAnswer: -757225*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p + 320 = -2*p. Suppose 0 = -2*g + 10*a - 6*a + p, 0 = 5*g - 3*a - 15. Factor -1\/3*f**3 + g - 1\/3*f**2 + 0*f.\nAnswer: -f**2*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (-14 - -23) + -34?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y - 2. Let i be r(4). Suppose i*k - 9 = 3*k. Is (7\/k)\/(3\/18) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -799733, -799657, -799579, -799499, -799417, -799333?\nAnswer: -799247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 747.129nm to millimeters.\nAnswer: 0.000747129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/(-168)*9 - (-4287)\/24. Suppose 77 = u + 3*n + 29, -4*u + s = -n. Calculate the remainder when 80 is divided by u.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(560) + sqrt(35))\/(sqrt(80)*4) + 1 + 3.\nAnswer: 5*sqrt(7)\/16 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 145 (b) 3\/7 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/96544 and 67\/4310?\nAnswer: 482720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*m - 32*m + 122 + 93*m - 592 - 31*m to the form r + w*m and give r.\nAnswer: -470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1686 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -8*n**5 + 41*n**4 + 129*n**3 - 458*n**2 - 388*n + 1176 = 0.\nAnswer: -3, -2, 2, 49\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 126 by -4.\nAnswer: -63\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i - 3*s + 2, -14*s = -i - 15*s - 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 529825986?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 68*j**2 + 39*j - 75. Calculate the remainder when i(2) is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51041*g + 24 - 307 - 131 + 51036*g to the form q*g + i and give i.\nAnswer: -414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 3271, 31, 683?\nAnswer: 683","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 101 + -68. Suppose 0*l = -2*l - f + n, -4*f + 12 = 0. Let s be (l\/(-12) - -1)\/(-1). What is the third smallest value in -0.4, s, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -155\/157734 and -145\/5382.\nAnswer: 2050542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of l**5\/20 + 7*l**4\/2 - 3463*l**2\/2 - 2116*l. Differentiate d(c) with respect to c.\nAnswer: 3*c**2 + 84*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 12) in base 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/14 and 61\/98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**4 + 3*b**2 + 2*b = 0. Calculate b.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.2 - 1.2. Let i = m + -4.8. Let f = 599\/15 + -118\/3. What is the second biggest value in 1\/10, i, f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 969, 7988, 27067, 64236, 125525?\n\"Answer: 1005*b**3 - 16*b - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-16)*(-1296)\/(-1512)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -16. Sort 3, j, -4\/5.\nAnswer: j, -4\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*v + 3309 - 5033 + 4204 = 0 for v.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -26*y - 59. Calculate the remainder when 90 is divided by m(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of d**8\/6720 + d**7\/1680 - d**6\/120 - d**5\/60 - d**2. Let p(b) be the third derivative of l(b). Factor p(w).\nAnswer: 3*(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - 12*r. Let z be m(12). Suppose -3*l - 3*y + 67 = y, 2*l - y = 63. Suppose z = 5*f - 46 - l. Solve -f = -0*i - 3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 67*h - 7 + 24*h)*(-3 - 2 + 2).\nAnswer: 129*h + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229 is divided by 118?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -239 - -239.05. Which is the third smallest value? (a) 2\/5 (b) y (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -9*c**3 + 783*c**2 + 13*c + 285. Calculate the remainder when n(87) is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91780 divided by 2?\nAnswer: 45890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/12 in 161, -2\/33, 106?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - ((3 - 2 - -1) + 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of 3*w**8\/28 - 79*w**4\/12 + w**3\/3 + 21*w + 1. Find the third derivative of b(a) wrt a.\nAnswer: 720*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 13) to base 3\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7\/3 (b) -0.5 (c) 0.03269 (d) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26755, 26745, 26729, 26707?\nAnswer: 26679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -47*(1 + -2) - 2. Suppose -4*b + j = b. Is 9 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 129*h - 125*h + 320. Calculate the lowest common multiple of (-3 - -8)\/(h\/(-96)) and 20\/(-6)*(-10 + 1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r. Let k(b) = 342*b + 72. Let j(t) = -2*t + 12. Let f(o) = 12*j(o) - 2*k(o). Calculate f(h(y)).\nAnswer: -708*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -628986 at most 5\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 17*((-22781)\/187)\/19\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 21230023?\nAnswer: -21230030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 3*d + 40. Suppose -3*n + 4*n - 355 = 0. Let f = n - 276. Calculate the remainder when f is divided by d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y**2 - 3*y + 15. Suppose -53*i + 50*i - 21 = 0. What is the hundreds digit of a(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3635 - 3824. Is -189 >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2*sqrt(1216)*6 + 1 + 4)**2.\nAnswer: -960*sqrt(19) + 175129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -313 - 11222?\nAnswer: -12201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 - 49 = -7*a + z, 4*z - 20 = -4*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5 = 5*c, -2*c + 8*j = 3*j + 2. Let i(x) = 3*x + 1 - 3 + 3. What is i(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 632\/16 + 1\/2. Let t = 73 - x. Let j(v) = 14*v + 21*v - t*v. Let r(g) = 17*g**2. Give j(r(s)).\nAnswer: 34*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 - 10 = -11*q. Let z(c) = 3 + q - 15*c + 0 + 24. List the prime factors of z(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 - 25. Suppose -5*p + 3*d = 155, 0*p + 124 = -h*p - d. What is the common denominator of (-2)\/(-5) + 208\/(-70) and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 88\/6*3\/2. Suppose s + 3*w + 2*w = h, 4*s + 12 = 5*w. Is ((-508)\/(-6))\/(s\/3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*v**2\/5 + 23827136*v + 238271376\/5 = 0. What is v?\nAnswer: -2, 29783922","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*b + 39 = -21. Suppose b*y = -0*y + 4*y. Suppose -5*v + 5*g + y*g = 5, -3*g = 5*v - 3. Put -2, 2\/7, v, -4 in descending order.\nAnswer: 2\/7, v, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -688*w**2 - 70*w**5 - 16372 + 10944*w - 348*w**3 - 9028 + 74*w**5 + 56*w**4 + 4664 - 32*w**4.\nAnswer: 4*(w - 4)**3*(w + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 32\/20)*-55. Suppose 0 = 6*p + 5*p - 825. Factor 2*u**3 + 43*u - 5*u**3 + p + f*u**2 - 148*u.\nAnswer: -3*(u - 5)**2*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-119 + 120 + 5*b - 16*b)*(-2 - 7 + 3 + 1)*(22 + 8 + 0).\nAnswer: 1650*b - 150","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 + (-2 + -22 - (5 - -3 - 21)) - 9?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 205256 divided by -4?\nAnswer: -51314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 445*m + 430 - 2210 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wx when two letters picked without replacement from xxxxxxxxwxwxxxwwxxx?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/3)\/(20\/5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2\/7, -0.4, 5, -5515.\nAnswer: -5515, -0.4, 0, 2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 360*v. Let m(w) = -224709*w. Determine m(n(t)).\nAnswer: -80895240*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -3*b + 9, -b = -0*a + 4*a + 7. Suppose b*q - 8*q = 0. Let t = -2699\/110 + 122\/5. Which is bigger: t or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46940581 to the nearest integer?\nAnswer: 6851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2508)\/(-10)*21*3\/(-42)*-20 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*g - 8*g + 4*g.\nAnswer: 20*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 2*b + 15, 0*z + 6 = -2*z - 5*b. Let g be 0 + 2 + (-2 - z). What is the second derivative of -2*u**3 + 5*u**3 - u**g + 3*u - 3*u**3 wrt u?\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*x - 377*x - 24210 = 124*x - 149*x for x.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nkssssnrnknssnsqsrr. Give prob of sequence nnkr.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of 3*d**4\/4 + d**3 + 3*d**2\/2 + 291*d - 4. Let j(o) = o**2 + o. Determine a(g) - 6*j(g).\nAnswer: 3*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4645, 4643, 4641?\nAnswer: 4639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 5*a**2 + 3*a - 2. Let q be i(-4). Let r(k) = 1 + k - 92*k**2 + 46*k**q + 45*k**2. What is r(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h + 17. What is s(-11)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and 67472278?\nAnswer: 67472277.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000023358 to six dps.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -76055, -75633, -74929, -73943, -72675?\n\"Answer: 141*j**2 - j - 76195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6*(-1)\/((-4)\/6). Suppose 0 = 5*y, -2*l + 10 = 4*y - 12. Let v = l - n. Calculate the least common multiple of 5 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-15)*(13\/(-6))\/13\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 16*d + 2*d + 2*d + 12*d)*(77 + 25*d - 80 + 6*d).\nAnswer: 1023*d**2 - 99*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 34 = 4*h, -x = -5*h + x + 41. Suppose -55 = -h*j + 2*j. Calculate the remainder when (1\/2)\/((-1)\/(-106)) is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 439871361?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(117)*1*-6)\/(sqrt(576) + 4*-1*sqrt(576)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-10))\/(((-2)\/5)\/2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 547*w - 543*w - 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31459149*u - 31459161*u + 62918303*u.\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from esgggssg. Give prob of picking 2 g and 1 s.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -42*o**2. Let q(b) = -5*b**2 - 211527 + 211527. Calculate q(d(u)).\nAnswer: -8820*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of m**6\/120 + m**5\/12 + 3*m**4\/8 + 7*m**3\/6 - 76*m**2 + 3. Calculate h(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38547860 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: Let j = -13 - -25. Let p be 29\/3 - (6 + (-64)\/j). Let x be -6*(-1 - 13\/2). What is the greatest common divisor of p and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5745.422 centimeters in kilometers?\nAnswer: 0.05745422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 - 14760*m - 13616100.\nAnswer: -4*(m + 1845)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/3 (b) 6 (c) -1\/6 (d) 4 (e) 1 (f) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 8:39 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 10 = -2*v, -3 + 13 = -3*v + 5*z for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5511064291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1381*f = 33725 + 147186 for f.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 1\/4 (c) -4\/31 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -217257, -216024, -214791, -213558?\nAnswer: -212325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*m**3 - 9*m**3 - 9*m**3.\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -7 - ((-12 - -2) + (-6 - -6) - 81)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3691 is divided by 86.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -37 + 43 + -213 + 96\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -7*o**2 + 6*o - 18. Let k(y) = 6*y**2 - 5*y + 15. Let c(j) = 6*k(j) + 5*v(j). Let d(i) = -31*i**2 - 1. Calculate d(c(h)).\nAnswer: -31*h**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + m - 1. Let s be g(-2). Suppose -2*v = 5*y - 2240, 0 = s*v - y + 4*y - 5581. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-55)\/15)\/((-8)\/72). Suppose 0 = z*o - 14612 - 10270. List the prime factors of o.\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2419936 bigger than 2419935?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16396103*v**6 - 2*v**5 + 10*v**2 - 34*v - 52169.\nAnswer: -1967532360*v**3 - 120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 2\/5 (b) -2 (c) 1\/29 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and -1109.\nAnswer: -1108.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*h - 7*h - 360. Suppose -n + h = q, 4*q - 57 = -35*n + 30*n. What is the highest common factor of n and 333?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/12)\/(y*y*y**(3\/11)))**(2\/13) assuming y is positive.\nAnswer: y**(-311\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*(o\/(o\/(o*o**(2\/91))))\/o)\/o**24)\/(o*o\/o**(-20)*o**(1\/8)\/o))**(-2\/3) assuming o is positive.\nAnswer: o**(32107\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 209142 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 2*q - 43 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1361 - 1356. Solve 0 = 3*l - u - 2 + 7, 8 = 4*l - y*u for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + 26. Suppose 0 = -z*k - 0*n - 2*n - 6, 15 = -5*n. Let g = 14\/3 - 4. Is k less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/3 - 16*m**2\/3 + 124*m\/3 - 176\/3.\nAnswer: -(m - 4)*(m - 2)*(m + 22)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -4, 33, 104, 215, 372, 581?\nAnswer: 848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1695366 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3237653.\nAnswer: 3237653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1239*b - 1241*b + 2484*b - q - 57 = 29, -3 = -b - 9*q for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*1538006.\nAnswer: 3076012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1470960 to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/6 - (-47600)\/(-8160)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 242 or 0.37?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 192 = 63. What is the remainder when j is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x + 3. Let p be h(0). Suppose 2*r + p*r = 585. Calculate the greatest common factor of 13 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, g: 1, z: 1, a: 1, d: 1}. Give prob of sequence ag.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 3*m + 237, 0 = -x - 2*m + 30 + 58. Suppose 3*o - 240 = -3*f, 4*o - 2*f + x = 5*o. List the prime factors of o.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -12198 - 2*p**2 + 12198. Let d(r) = -r**2 + 6*r. Let u(t) = -t**2 - 3*t + 2*t**2 - 2*t. Let i(k) = 5*d(k) + 6*u(k). Give h(i(m)).\nAnswer: -2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 10. Let s be (2 + 1 + -4)*0. Put -1\/3, h, -0.2, s in decreasing order.\nAnswer: h, s, -0.2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25.08 or 1?\nAnswer: 25.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-35 + 0)*4\/(-14). Let q be 22\/j + (-5 - (-3)\/1). Which is the biggest value? (a) 2\/9 (b) q (c) -0.3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 7*u + 488. Let q be h(-38). Which is bigger: q or 217?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196*x**2 + 782*x**2 - 137*x**2 - 184*x**2 - 192*x**2.\nAnswer: 73*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 130 = -4*x, -6*x - 4 = -2*x. Suppose -i*r = -121*r - 40. Is 2 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 60 = 5*z, y - z = 2*y + 14. Let h(m) = -19*m**2 + m - 5. Let l(i) = 3*i**2 - 2*i. Let x(r) = h(r) + 6*l(r). Give x(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 1) + 5 + -8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1251874 to the power of 1\/2, to the nearest integer?\nAnswer: 1119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 5*s + h, -120*s - 5*h + 17 = -122*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 24106*v**2. Let l(b) = -2*b. Give g(l(c)).\nAnswer: 96424*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -186 + 184 + -1 + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 850 - -1922. Suppose 0 = 12*n - r - 1416. Let p = -177 + n. List the prime factors of p.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48 - ((-52 - -6) + 64).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.77 - 0.76. Let f = 1.99 - v. What is the closest to 7\/5 in f, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -1 + 9*u - 3 - 10*u + 9. Let l be r(6). Let s(p) = -5*p. Let g be s(l). Solve -q + 15 + 15 = -5*v, -4*v + g*q - 45 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6960739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s + 8. Let x be b(6). Suppose -27 = -2*j + 5*i + 18, 0 = -x*j + 3*i + 35. Let k be 4 + 5 + 49\/(-7). Calculate the highest common factor of k and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95564010.\nAnswer: 2, 3, 5, 31, 211, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.78462 to zero decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 133\/49 + 2\/7. Suppose o + o - 2*l = 144, u*o = 2*l + 216. Is 24 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 6*v**3 - 3*v**2 + 26*v + 1. Let d(p) = -7*p**3 + 4*p**2 - 29*p - 5. What is -3*d(l) - 4*y(l)?\nAnswer: -3*l**3 - 17*l + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 135108061 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -138 + 138. Suppose 18*z - 13*z - 240 = x. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-6)*o\/(o**(-1\/9)*o))**(-2\/89) assuming o is positive.\nAnswer: o**(106\/801)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3462 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 58\/5, -4, -20, 2\/3?\nAnswer: 58\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxxx. What is prob of sequence xx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4 is divided by 0 + (-3 + 3 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*j - 8. Let i = -22 + 71. Let p = i - j. Calculate the highest common factor of p and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 5*k + 19, -s + 0 = 3*k + 18 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -4*l + 8, 3*b = -5*l - 1 + 14. Suppose 2*f = 3*h + b - 2, 4*f = -h + 22. Suppose 0*s + 6 = s. Solve i + 0 + h = -2*x, -3*i = -3*x + s for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 divided by 10304.\nAnswer: 3\/644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28362, -56726, -85088, -113448, -141806, -170162, -198516?\nAnswer: -226868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 74937428 to the nearest ten thousand.\nAnswer: 74940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 337 + -303. What is the remainder when z is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.0732991ns?\nAnswer: 0.0000000732991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22892576 + -11360576. Round t to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/2783379 and 30\/271891?\nAnswer: 269987763","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -13668974, 2\/9 in descending order.\nAnswer: 2\/9, 0, -13668974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-8)\/3)*208\/78?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 247 - -4?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 162827514?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 3622001 = 1313375 + 7262222. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 130, -13, -3, -5, 4, 12 in increasing order.\nAnswer: -13, -5, -4, -3, 4, 12, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(2\/11)\/f*f*f)**(-7)*f**(1\/18)*f*f*f**(-2\/15) assuming f is positive.\nAnswer: f**(-20147\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -431 + 436. Suppose 3*f = -l - 2*f + 237, -k*l + 1243 = -4*f. What is the highest common divisor of l and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (9824 - -2) + 1457\/282 + (-2)\/12 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((91\/(-2366))\/(1\/2)*1)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 16) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d + 1. Let m(k) = -18*k + 4. Let x(i) = m(i) - 5*p(i). Suppose -5*l + 12 = -l. Suppose 2*n = -n + l. What is x(n)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 10*c + 20. Calculate a(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -74706\/19 (b) -12 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103 + 17264 + -17270 + (1 + 0 - 8 - -1).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a**2 + 4*a + 12. Let t(q) be the third derivative of -q**5\/60 + q**4\/24 + q**3\/2 + 2369*q**2. What is 2*l(y) - 9*t(y)?\nAnswer: y**2 - y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of 901*v**6\/60 + 3*v**5\/20 + v**4\/8 - 52*v**3\/3 - 23*v**2. What is the third derivative of m(p) wrt p?\nAnswer: 10812","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p + 13. Let s be r(3). Suppose 5*l = l + 12, 5*w + 5*l - s = 0. Solve v + 3*g + 18 = 0, 0 = w*v - 7*g + 3*g - 14 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 61*p**2 + 64*p - 252. Determine c(60).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 6*m - 3*c - 15, 3*m + 4*c + 20 = 0. Let b be m + 1*(-2)\/10. Let p = 0.17 - 0.17. What is the second biggest value in 2\/5, p, b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m - 135. Let n(x) = 4. Determine -g(u) - 4*n(u).\nAnswer: -2*u + 119","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - a = 2*a + 24, -3*m = 4*a + 37. Let c = 19 + m. Let t(j) = 3*j**2 - 4 + 10*j - c*j - j**3 - 3*j. Give t(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 1 - 8 = 5*p, 0 = -y + 3. Let q be 3*(3 - 4 - p). Factor 2*d**4 - q*d**3 + 4*d + 0*d**3 - d**4.\nAnswer: d*(d - 2)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.5 (b) 3 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6360 and 6858200.\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -t**5\/60 + t**4\/12 - t**3\/3 - 6*t**2 - 3*t - 4. Calculate x(-4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 - (11 + (-315)\/28 + (-71)\/4). Solve -4 = o - 10*l + 14*l, l + m = 3*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + s, -z = 5*s - 4. Let l(y) = 8*y**2 - z*y**2 + 0*y**2. Let w(t) = 0*t + 3*t + 0*t. Determine l(w(b)).\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -y**5\/20 + 9*y**4\/2 + 80*y**3 - 13*y**2. Find o such that s(o) = 0.\nAnswer: -4, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2006 divided by 1?\nAnswer: -2006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34734 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1063728 and 11926.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -1610*k**3 - 8*k - 33. Let j(i) = i**3 - i - 4. Give -a(q) + 8*j(q).\nAnswer: 1618*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2488 + 14975\/6. Let w = -15\/63832 - -54085659\/31916. Let g = w + -1699. Find the common denominator of l and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**2\/5 + 62444*t\/5 - 62442\/5 = 0. Calculate t.\nAnswer: 1, 31221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z\/(z\/(z*z**(-8)*z)))))\/z**(-1\/6)*(z**(-2\/9))**(1\/29))**12 assuming z is positive.\nAnswer: z**(-6098\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14 + 2963?\nAnswer: 2977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/sqrt(3))**2 + 2*((sqrt(3) - -2*sqrt(3)) + sqrt(3)) + 5*(sqrt(243) + 1).\nAnswer: 17 + 53*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 487367 != 487371?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**5 + 27*y**4 - 336*y**3 + 1128*y**2 - 1584*y + 816 = 0. What is y?\nAnswer: -17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 7:17 AM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13964128 a multiple of 2045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58831*s**2 - 90330*s**2 - 301653*s**2 - 227936*s**2 + 22789*s**2.\nAnswer: -538299*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9338 is divided by 54?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 774 + -739. Suppose -2*q + 2*s - 19 + 35 = 0, 5*q - y = 4*s. Solve i - 3*i + 3*w = 7, 4*i + q*w = 13 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.12 (b) -0.03 (c) -2\/7 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23570 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/3 of a day in minutes?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d - 1 + 1)*(-4 - 28 - 10) + (1 - 2 + 0)*(-2 + 2 - d) - 4*d + 4*d + d.\nAnswer: 170*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 4:01 PM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 25 = -4*o, 47*d - 12*d + 24 = 31*o + 18*d + 18*d for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -7*o. Which is the closest to 0? (a) -1\/3 (b) o (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -219*q**3 + 157*q**2 wrt q.\nAnswer: -1314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 3, i: 12}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10.6 - -11. Let f = -2.1 - -2. Let n = f + 0.1. Which is the nearest to 0.1? (a) n (b) 2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*i - 2*i + 16*i**2 + 13*i**2 + 3*i + 2*i + i**3 in the form c*i**3 + k*i + d*i**2 + m and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of g**8\/1680 - g**4\/12 + 2*g**3\/3 - g. Let n(s) be the second derivative of i(s). Differentiate n(l) with respect to l.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 430343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -11*o**3 - 2*o**2. Let y(k) = 243*k**3 + 45*k**2. Calculate 45*c(m) + 2*y(m).\nAnswer: -9*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c - 2721 = -2739 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 2121020010?\nAnswer: 2121012222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8888, 8887, 8876, 8849, 8800, 8723, 8612?\n\"Answer: -u**3 + u**2 + 3*u + 8885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -122768 + 119624 + 9*l - 11*l as n*l + s and give s.\nAnswer: -3144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -23321, -51009, -78697, -106385?\n\"Answer: -27688*s + 4367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2999597459 rounded to one dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -629, -41, -19, 2, 3, -3 in decreasing order.\nAnswer: 3, 2, -3, -19, -41, -629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t + t**4 + 5 - 8*t**2 - 8*t**3 + 10 + 98*t**5 + 11*t + 1 - 97*t**5.\nAnswer: (t - 2)**2*(t + 1)*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1995257039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 6\/11 (c) -1503\/311 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 850132 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 20.3721977 and -611.295.\nAnswer: -590.9228023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.9 + -13.\nAnswer: -23.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4\/13 + 5440860*o**3\/13.\nAnswer: 2*o**3*(o + 2720430)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 37990049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -y**9\/10584 + y**7\/2940 - 2*y**3\/3 + 1. Let d(f) be the third derivative of b(f). What is w in d(w) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 11*z + 64. Let a be o(15). Let d = -21 + 107\/5. Factor -18\/5*k**2 + 2*k**3 - 4\/5 + 14\/5*k - d*k**a.\nAnswer: -2*(k - 2)*(k - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(17) - (5 + sqrt(17)*1) - -1*sqrt(833)) + 2 - (3 + sqrt(425) + sqrt(425) + -1 + -1)) + -1)**2.\nAnswer: 30*sqrt(17) + 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (17\/(7293\/396))\/3\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-36)\/(-42) + (-10)\/(-5) + -3. Suppose 0 = 4*z - 16, 2*q + z - 15 = -3. Suppose q = 3*t + 19. What is the smallest value in g, t, -1\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 110*f**2*m**2 + 11*f**2*m - 10*f*m + 15*f + 907952*m**2 - 1423*m wrt m.\nAnswer: 220*f**2 + 1815904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(4*(2 + sqrt(171)) + sqrt(171)) - (1*(-3 + sqrt(171)) + 5))**2*4.\nAnswer: 13680*sqrt(19) + 250524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1154480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 16\/(-28))*1463\/(-342). Which is the nearest to -1? (a) 5 (b) u (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3640 or -0.073?\nAnswer: -0.073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 86\/258 + 2\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-162684 + 20\/5)*35\/(-14). What is p rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 + -33.8. Let n = -1.2 + r. Sort 2, n, 0 in descending order.\nAnswer: n, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ueaiia. Give prob of sequence ui.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -65 (base 8) to base 10.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x + 22. Let i be l(-11). Solve -6 = -0*z + 3*z - 3*b, i = -z - 3*b + 10 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 76 + -165. Let k = d - -92.88. Round k to one decimal place.\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16822061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3454 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2619*f - 6. Let w(c) = -6508217*c - 14909. Give 14909*b(r) - 6*w(r).\nAnswer: 2631*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 325355 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, 1, 2\/3, 0.5, -2\/9, -2 in decreasing order.\nAnswer: 1, 2\/3, 0.5, -2\/9, -2, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + -28 + 66 + -20.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4.7 in -4, -0.3, 15?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 10 - 14)*(-h - 190 - 6 - 44 + (3*h - 2*h - 3*h)*(2 - 1 + 0)) to z + f*h and give f.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 49512.83 micrometers?\nAnswer: 0.04951283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of d**8\/420 - d**7\/105 - d**6\/30 - 2*d**3\/3 - d**2\/2 - 73*d. Let y(t) be the second derivative of q(t). Solve y(f) = 0 for f.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, b: 2, k: 2, q: 2, z: 7}. Give prob of picking 1 j and 2 b.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-8 - 1 - -7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -50082 or -5158404\/103?\nAnswer: -5158404\/103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + -1 + -13 + (-3535)\/(-303). What is the nearest to f in 0.2, -5, -117?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 10:32 AM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 491500.955 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - 8. Let p be (-38)\/o + 1\/5. Suppose 0 = b + 2*g + 2*g - 355, 0 = -p*b - 5*g + 1365. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -9. Solve -3*a + h*a = -9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7\/2, 1\/3, 0, 9.1, 918?\nAnswer: 9.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-336)\/616 - (-74861)\/11 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1616\/(-48))\/(10\/12 - 1). Let w = c + 9. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + 2*j - 11. Let q = 27 + -4. Suppose -q = -3*w - 5. Is a(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5026 divided by 59.\nAnswer: -5026\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21 times 1373162?\nAnswer: -288364.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -50b397 + -6?\nAnswer: -50b3a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 9:54 PM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*t + 16 = -4*c - 22*t, 0 = 2*c - 2*t + 10. Is (30702\/84)\/(c\/2 + 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 33.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -372 + 386. Suppose -4*f + 6*f - 590 = 3*l, -f + 284 = 4*l. What is the lowest common multiple of f and s?\nAnswer: 2044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*r - 47 = -4*g, 30 = -3*r + 3*g. Let p = r + 6. Suppose -2*v + 4 = -2*c + 4*c, 3 = 3*v + 2*c. Is v < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-12) - (-209)\/66. Suppose a*t - 5 - 7 = 0. Is 20 a factor of 111 + t + 3\/(6\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/6 - 38\/(-12). Suppose -3*o + 0*o - 5*h + 28 = 0, o = v*h. What is the least common multiple of o and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87290 a multiple of 406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 62*n + 25 = -67*n, -10 = 2*r - 2*n for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 464132102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22206 and 251668.\nAnswer: 755004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 3:03 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 155320.2 tonnes in kilograms?\nAnswer: 155320200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + t = 0. Suppose t = -2*h - 5*z - 18, -5*z - 21 = h - 2*h. Let f = h - 0. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19493?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21414\/11 + -1948. Let r = 64\/33 + x. Factor 0 + 1\/3*o**3 - o - r*o**2.\nAnswer: o*(o - 3)*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (6 - 1) + -3 + 18 and 6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-26))\/((6480\/8580)\/36)\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 21\/8, 202, 0.5 in decreasing order.\nAnswer: 202, 21\/8, 0.5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 402 + 390 = -4*t, 0 = -t + 2*r + 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 8:09 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.532272 millilitres to litres.\nAnswer: 0.006532272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 12:40 AM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 35 = -4*y. Suppose -3*z = 12, 9 - y = -4*u - z. Which is bigger: u or -2\/25?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3e + -30ba?\nAnswer: -307c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -64 divided by -12007152\nAnswer: 4\/750447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 20 = -5*f. Suppose -f*n + 25 = -3*r, -3*r = -8*r. Calculate the greatest common divisor of 20 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 98*m. Let d(r) = 6*r**2. Give d(t(c)).\nAnswer: 57624*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -883 + 809. Which is greater: 2 or p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cfh when three letters picked without replacement from oczofocchf.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158 = -5*f + 563. Let i be f\/(-135) - (-56)\/10. Let a(c) = -c**3 - 5*c**2 - 6*c - 6. Let y be a(-4). Solve 3*q + i = y for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 68*l + 15 - 5 + 22 + 75. List the prime factors of i(8).\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/6*3\/(-2). Let l be (-40)\/(-12) - j\/6. What are the prime factors of ((-10)\/l)\/(2\/(-6))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, 4\/7, 1\/10, 0?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 72330 from -9.116.\nAnswer: -72339.116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, b: 1, i: 1, p: 1, j: 2}. Give prob of sequence bjzj.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -1, -0.2, 5.\nAnswer: -1, -0.2, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/22)\/s)\/s**(1\/4))**(-26\/9) assuming s is positive.\nAnswer: s**(689\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 2*x**2 - 2*x - 1. Let a be c(-1). Let p be (a\/(-4))\/(6\/(-324)). What are the prime factors of ((-16)\/(-12))\/((-6)\/p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/87 and ((-2)\/(-8) - 5967\/972)\/(-2)?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 985.\nAnswer: 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 6*j**2 + 5*j + 2. Let b be a(5). Let t(c) be the third derivative of 5*c**4\/24 - c**3\/3 + 35*c**2. Is 4 a factor of t(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.654 + 265.654. Which is the smallest value? (a) j (b) -2\/5 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*w - 33*w - 21*w - w**3 + 129*w - 37*w.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 15. Suppose a + a = r. What is the first derivative of a + t**4 - 2 + 3 wrt t?\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54 + -51. What is the nearest to -5 in -0.5, i, 1\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -d**5\/60 + d**4\/3 + d**3\/6 - d**2. Let x be b(4). Suppose 72 = x*u - 13*u. What is the highest common divisor of u and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26268*y - 26271*y = -3, -51 = -4*d + y for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 177863, 177784, 177681, 177548, 177379?\nAnswer: 177168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x - 300 = -14*x. Calculate the remainder when 367 is divided by x.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1166 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 5*t**2 - 5*t**2 - 3*t**2 + 4*t**2 - 5. Let r(d) = -7. Let z(m) = 2. Let c(j) = -r(j) - 4*z(j). Determine -a(v) + 6*c(v).\nAnswer: -v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -363334, -726672, -1090010?\n\"Answer: -363338*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 9*o - 69. Let k be q(8). Differentiate 1 + 1706*u**2 + 95*u**k - 1706*u**2 wrt u.\nAnswer: 285*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2580 = -7*z - 79*z. Calculate the highest common factor of z and 170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 156 or 157?\nAnswer: 157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/13, 17\/5914, 0, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 28\/63*9*1\/(-24)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-2))\/((-4)\/(-16))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, k: 17}. Give prob of picking 3 k.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -158, 838, -2\/11 in increasing order.\nAnswer: -158, -3, -2\/11, 838","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4357872*a*w**2 - 7*a - 1180*w**2 - 1716 wrt a.\nAnswer: 4357872*w**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93208684?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 - (-4 + 8) - 5) + -2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 259.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5 = -19. Does 24 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 13413, 20775, 28159, 35577, 43041, 50563?\n\"Answer: 2*v**3 - v**2 + 7351*v + 6061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0, -1858 in increasing order.\nAnswer: -1858, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 117 - 120. Suppose 2*m + 10 = -5*o, -3*m - 15 = -3*o - 0*o. Put 0, m, 5, t in ascending order.\nAnswer: m, t, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 3. Suppose 0 = -3*o - 3*g + 81, 0*o = -z*o + 3*g + 29. Calculate the remainder when o is divided by 24\/(-10)*260\/(-39) - 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*t - 17*t + 5 = 5*f, -f = 4*t - 1. Is f bigger than -1201?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 189\/(-9) - 579\/386*(3 - 75\/9).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + sqrt(252) - (sqrt(7) + sqrt(7)*2 + 1))**2.\nAnswer: -36*sqrt(7) + 384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 28 = 3*t, -1865*o - 2*t = 1829*o - 29544 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 50188.014 microseconds?\nAnswer: 0.000013941115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence noqz when four letters picked without replacement from hhqqonqyhoz?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-8))\/((-18)\/(-3))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8015 is divided by 2337.\nAnswer: 1004","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -16*q + 5*q. Suppose q = 10*i - 8*i + 8. Let n be 1\/3*(16 + -1). Put -1, i, n in decreasing order.\nAnswer: n, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*v + 1885 = -995 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3349058?\nAnswer: 2, 331, 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 6 = -5*x, 5*k + 15 = -3*x + 8*x. Which is bigger: -1\/511 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 223576129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) -3 (c) -2\/9 (d) -141\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -8. Let f be (4\/10)\/(u\/30). Sort 4, 2, f in ascending order.\nAnswer: f, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -8 (b) -0.5 (c) 6 (d) -195\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3105 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -9*z**2 + 4. Let s be y(4). Let n(m) = -6*m**2 - 10*m + 131. Let a be n(6). Let h = s - a. Solve 6*j - 11*j = h for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3b - -8?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12d57ba - 2?\nAnswer: 12d57b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(7 + -6)*60\/(-72)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(4)\/(3*sqrt(2)).\nAnswer: sqrt(2)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/3 - 8*u**2\/3 - 4*u.\nAnswer: -u*(u + 2)*(u + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 1170*a**2 + 6*a + 784. Let c(m) = -390*m**2 - 2*m - 260. Let s(o) = -7*c(o) - 2*h(o). Find the second derivative of s(t) wrt t.\nAnswer: 780","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/48)\/(0 + 30\/16).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by -909?\nAnswer: -14\/909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from xxnynonoxnnynnrx.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h + 5. Let v be c(-7). Suppose -3 = 3*f, -5 - v = -5*o + f. Let b be o\/(-4)*28\/(-21). Solve 0 = -s - 3 + b for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -925*g + 898*g = 216 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 285 a factor of 1297605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.5, 0.12, 4, -5\/3?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(1700) + (sqrt(272))**2 + 3.\nAnswer: 40*sqrt(17) + 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**21)**(-4\/5) assuming w is positive.\nAnswer: w**(-84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 5) + 34 + (13 + -7 - 16) + 8.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 148\/19*w - 90\/19*w**2 + 96\/19 - 4\/19*w**3 = 0.\nAnswer: -24, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (1 + sqrt(363))**2 + sqrt(363) + 0)*-2 + 6*1*(-1 + 1*sqrt(147))**2.\nAnswer: -150*sqrt(3) + 168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*l + 61 + 264 = 0 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2 - 5*n**2 - 3 + 0*n**2. Let g(y) be the first derivative of -y - 26 + 0*y**2 - 1\/3*y**3. Calculate 2*g(a) - l(a).\nAnswer: 3*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 1 + (-1)\/(-2)*-8. Sort 0, -3, u, -5 in ascending order.\nAnswer: -5, u, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {g: 6, u: 2}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + -20.05. Let f = 16.05 + t. Let k = -18 + f. What is the nearest to -2 in 5, k, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 + -2)\/8 + (-5)\/40. Let c(m) = m**3 - 7*m**2 + 5*m + 6. Let f be c(6). Is f less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 469485.\nAnswer: 3, 5, 10433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 5. Suppose -d = 3*y - 8*y. Suppose -2*n - h - 4 + y = 0, -5*n - 20 = 5*h. What is the lowest common multiple of n and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3\/8207 + 15509\/19975838. Is 0 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y + 1. Let m(g) = g**2 - 13*g + 28. Let b be m(6). Let f be (-1 - -4 - 0)\/(21\/b). What is r(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-2\/7))**(1\/11)\/(i**(-6)*i*i**4*i)*(i**(2\/3))**(-2\/47)*((i\/i**(-1))\/i*i)\/((i**0*i)\/i*i) assuming i is positive.\nAnswer: i**(11818\/10857)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 3:27 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, e: 1, j: 1, v: 9}. What is prob of sequence je?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243*q + 1742 = -4170 - 5509 for q.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -533*i + 7. Let u(l) = -14*l. Give 5*u(t) - w(t).\nAnswer: 463*t - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 5*m**5 - 4900*m**4 - 4930*m**3 + 24540*m**2 - 14715*m = 0?\nAnswer: -3, 0, 1, 981","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 3*r. Determine y(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 7*p = -2*v - 9, -4*v + p + 9 = 0. Suppose -v*n = -3 - 45. Is n a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48273e (base 15) to base 6\nAnswer: 201544152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**3 - 163*y**2 - 2792*y + 85. What is b(-57)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -143*m**3\/3 + m**2\/2 + 10*m - 4. Differentiate i(v) with respect to v.\nAnswer: -286","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-4)\/(-30))\/((-4)\/5).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, w: 6}. What is prob of sequence www?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 75183, 147075, 218967, 290859, 362751, 434643?\n\"Answer: 71892*k + 3291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d - 3. Let h be j(0). Suppose -4*t = 53 + 3. Put t, h, -4 in decreasing order.\nAnswer: h, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 14 (b) 1\/7 (c) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(10\/(-4) + 4) - (-217)\/31.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + (sqrt(336)\/sqrt(6))\/sqrt(8)).\nAnswer: -1 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (88\/20)\/((440\/20)\/(-220))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10470?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 72*s + 144. Let y be g(-2). Solve y = -11*q - 8*q + 21*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001481713263 to seven dps.\nAnswer: -0.0000148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -771, 0, 3, -2.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 0 - (-17 + 9 + 6 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-28)*4\/21*(36 - 38)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 147 - 85. Is 24 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -220001010211 (base 3) in base 12?\nAnswer: -1a9a34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 274 + -267. Suppose -13 - s = -5*u, k - u - 5901 = 0. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + v + 4 = 0, 2*m = -m - v - 4. Suppose -3 = -3*l, -l - 55 = -4*h - m*l. Is 3493\/h*(1 + 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22774201 - -12286201. What is r rounded to the nearest one hundred thousand?\nAnswer: -10500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.9 - -7. Let v be 24\/(-42) + 4\/14. Let l = -2 + 9\/4. Which is the closest to z? (a) 2\/3 (b) v (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 76973190?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8840730721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 165435 to the nearest 100.\nAnswer: 165400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - 0. Let r = 3 + d. Let a be r*(1 - 35)\/2. What is the greatest common factor of 17 and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*p**2 - 4*p**2 - p**2 + (-124 + 124 + 7*p**2)*(0 + 0 - 2) + 3*p**2 + 2*p**2 + 2*p**2 + (3 - p - 3)*(p + 4*p - 6*p) as z*p + c*p**2 + h and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 3*i + 1075, -69*h = -71*h - 2*i + 538. What is the lowest common multiple of h and 469?\nAnswer: 1876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**5 + 16*u**4 - 24*u**3 + 24*u**2 - 16*u + 8. Let g(i) = 0 + 2*i**2 + 1 - 5*i**2 + 2*i**2 + i**4. Let b(t) = 24*g(t) - 3*k(t). Factor b(d).\nAnswer: 3*d*(d - 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3033 + 2054. Let i = n + 1054.3. Round i to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1033133 and 22.\nAnswer: 22728926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/6)\/((-4)\/(-18)). Suppose -120 = -138*n + 162*n. Put n, t, 2, -1 in decreasing order.\nAnswer: t, 2, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 4. Let r be j + 2 + 2\/1. Let l = -2 + r. What is the lowest common multiple of 7 and l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 3:51 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zrowggrgogwgzgwoww. What is prob of sequence owg?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -5385257\nAnswer: -21541028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 63, 239, 643, 1383, 2567?\n\"Answer: 18*o**3 + 6*o**2 + 32*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5 = 2*d - 9, 0 = -3*s + d - 10. Calculate the remainder when 39 is divided by 28\/3 - s\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*o + 2*o - 8*o - 1856. What is the greatest common divisor of o and 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + 80\/(-14) + 4. Which is the nearest to 2\/9? (a) -3 (b) 2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/9 + 52642*t\/9 + 421520\/3.\nAnswer: -2*(t - 26345)*(t + 24)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 + -0.3. Let r = -11 - -10.2. Let l = r - 3.2. Which is the nearest to 1\/4? (a) -0.5 (b) l (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 - -18. Let v(f) = -2*f**2 - 20*f - 12. Let y be v(p). Let k = 54 + y. List the prime factors of k.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1339005.\nAnswer: 3, 5, 17, 59, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 800.2 + -800. What is the third smallest value in -1, 25.6, i?\nAnswer: 25.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 * -0.004.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 363 = 8*t. Let f = t - 45. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2992921\/(-46))\/(1 + (-2)\/4). Let a = 75327 + n. Round a to the nearest 1000.\nAnswer: -55000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 18. Let p = 13 + u. Suppose 2*x = 3*x - p. Solve z - x = 6*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 19 = 3*q - 28, 0 = -f + 3*q + 13. Solve n - 7 = -2*h, 0 = -n + 4*h + f - 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5380400124?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -37, -22, 5, 50, 119, 218, 353?\n\"Answer: z**3 + 8*z - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 140 * 6.\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -19*q**3 - 970*q**2 - 41*q + 340. Determine l(-51).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -4 + 0*c**4 + 10\/3*c**3 + 0*c**2 + 0*c + 18\/5*c**5. What is the third derivative of v(j) wrt j?\nAnswer: 432*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*d + 5*d - 4*d**2)*(6*d - 3*d + 4*d) to t + h*d**2 + z*d**3 + q*d and give z.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 558577?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15975*u**2 - 53656*u.\nAnswer: -31950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51569040 by -1634.\nAnswer: -31560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15920\/(-1920) + (-16)\/(-24) + (-6)\/16.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + r - 1. Suppose -3*m = -2 - 7. Suppose a = -m*a. Suppose -2*s + 0*s = a. Give i(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1321.2 - -1288.149. Let h = k - -0.051. Let n = h + 35. Which is the second smallest value? (a) 0.2 (b) n (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - 2.035816648239\nAnswer: -2.135816648239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*u, -4*o = 5*u + 73 - 75 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133 (base 7) to base 10.\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 843795768.\nAnswer: 2, 3, 509, 69073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 668 + -648. Let d be (80\/r)\/((-2 + 170)\/4). Let 0*b + d*b**4 - 4\/21*b**2 + 0 - 2\/21*b**3 = 0. What is b?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmrrqrmramrrrrmrm. What is prob of sequence mqma?\nAnswer: 1\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*15\/(-15)*(-2)\/(7\/(343\/14)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*j + 264 = -7*j for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -79.3 - -79. Which is the closest to -2\/7? (a) y (b) -1 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3071\/249*3 + -56\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174*c - 1 + 38*c + 128*c - 7.\nAnswer: -8*c - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5351725*k**5 + 4*k**2 + 1268193.\nAnswer: -321103500*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/3 + 8 + -3. Let y be (-1)\/(3\/9 - 0). Let m be 0*(o - (0 - y)). Solve -5*j + 10 + 15 = m for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-15) - 72\/(-5). Let f = -29 + 6. Let o = 75 - f. What is the greatest common factor of i and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -g**5\/20 + 7*g**4\/6 + 10*g**3\/3 - 27*g**2\/2 + 35*g. List the prime factors of i(14).\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4065 and 170034343?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*d + 61*d = 6*g - 7966, 4*g + 2*d - 5300 = 0. Solve -3*j + g - 1344 = 0 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.9 - 0.9. Let c be ((-2)\/10)\/(16\/(-10)). Let d(p) = 688*p - 19267. Let x be d(28). Put 1\/2, h, x, c in descending order.\nAnswer: h, 1\/2, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 817*b + 812*b = 0, -8*k - 6*b - 6 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 4*d - 2. Suppose 4*t = 4*m + 36, 3*t - 4 = -4*m - 5. Sort 3, d, t in ascending order.\nAnswer: d, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 3*i + 2. What is n(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.444 - 0.3. Let a = -0.094 + l. What is the closest to -2\/7 in -0.1, 4, a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13\/9 of a day?\nAnswer: 2080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 33*m - 5 - 2 as n + g*m and give g.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a century in months?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -69 divided by -4930208\nAnswer: 69\/4930208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133285.\nAnswer: 5, 19, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/109 and -113\/6?\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + -1 - sqrt(2)) + (sqrt(2)*3)**2 + 0 + -3.\nAnswer: 8*sqrt(2) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -21 (c) 1 (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.27 = -3\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 10*d**2 + 28*d - 68. Let w(c) = -3*c**3 + 21*c**2 + 55*c - 135. Let y(i) = -5*g(i) + 2*w(i). List the prime factors of y(-14).\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4808 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -564*o - 488*o - 83108 = 0 for o.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 62 - 62. Suppose -2*i + a*i = 3*g - 13, 5*g = 3*i - 29. Suppose -3*j - 4*f + 97 = 0, -j + 39 = -5*f + i*f. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.03 - -0.11. Let k = z - -0.12. Which is the third smallest value? (a) -0.5 (b) 1\/3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 198*k + 2 + 24 - 220*k - 9 + 13 to y + r*k and give y.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*z, -2*i - 2*z + z + 9 = 0. Let h = 8 - i. Solve -2*o = h*q - 15, 2*o - q - 2 = -5 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 3*l - 1 = -4*r, 3*r + 3*l = -3. Let k be r\/14 - (-38)\/14. Solve -3*c = -k*x, 2*c = -4*x - 0*c - 30 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 6*j**2 + 4*j - 14. Let w be c(-7). Let u(x) be the first derivative of x**2\/2 - x - 1. List the prime factors of u(w).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 530123916 by 183.\nAnswer: 2896852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.62 (b) 5\/4 (c) 2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1031792?\nAnswer: 2, 59, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/49)\/(-2*(-2)\/56)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 2. Let l(k) = -k + 2. Let y be l(i). Let u = 12 + y. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of 5*c**8\/336 - c**5\/10 + 59*c**4\/24 + 4*c**2 - c. Find the second derivative of r(x) wrt x.\nAnswer: 100*x**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1320024 - 0?\nAnswer: 1320024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -29*a**6\/24 + 7*a**5\/6 + 145*a**4\/24 - 35*a**3\/3 - 3521*a**2. Solve k(x) = 0 for x.\nAnswer: -1, 14\/29, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-11) - (7 - 1672\/242)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of 3*h**4\/4 - 69*h**2 + h. Let z(j) = j - 1. Let l(b) = -3*b + 2. Let s(p) = 2*l(p) + 4*z(p). Determine s(g(t)).\nAnswer: -36*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 3*z + z + 854 = 0, 0 = i + 3*z - 201. Calculate the highest common divisor of 81 and i.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0134 - 670.9866. Let q = 406 + o. Let u = -262.91 - q. What is u rounded to one decimal place?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in nine tenths of a microgram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -81*n**2 + 18*n**2 - 5*n**3 - 7*n**2 + 7*n**3 + 246 wrt n.\nAnswer: 6*n**2 - 140*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 3. Find the second derivative of -4*r**5 + 1 - o - r - 2*r wrt r.\nAnswer: -80*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.223 rounded to the nearest integer?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2450003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 2\/45, -4, 1, 0.71?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 6*x**2 - x + 6. Let y(w) = -w**2 + 1. Let n(c) = q(c) + 4*y(c). What is the least common multiple of 10 and n(-10)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 156 + -155. Which is the nearest to 0.03? (a) 0.1 (b) h (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7.6 or 39?\nAnswer: -7.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -9 - 3*z - z - z + 2. Let j(u) = -2*u - 3. Let c(q) = 7*j(q) - 3*y(q). Let a(k) be the second derivative of -k**4\/6 - k. What is a(c(r))?\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -709.5 - -709. Suppose 0 = -2*n - n. Suppose 0 = -3*y - 5*z + 24 + 5, -y = -5*z + 17. What is the third biggest value in n, y, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**9\/(y\/(y**(-7)\/y*y)))\/(y**(-1\/8))**5 assuming y is positive.\nAnswer: y**(13\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-43)\/(-4) - 2)*4. Suppose 4*p - w = -4*h + 1, p + 16 = 4*h. Let y(m) = 4*m - 2*m - p*m. Let r(f) = -f. Calculate y(r(i)).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(3 + 2 - 3)*(34*k - 18*k + 62*k).\nAnswer: 156*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3, -40, -115, -240, -427, -688, -1035?\n\"Answer: -2*a**3 - 7*a**2 - 2*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 10*g**2 + 151*g - 1437. Let l be v(9). Solve -2*p + 7*h - 10*h - 7 = 0, 5*p + 28 = l*h for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**4\/5 - 46*y**3\/5 - 102*y**2\/5 + 46*y\/5 + 20 = 0?\nAnswer: -2, -1, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.7 (b) 8 (c) 8596 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-8) - (-2 + 2). Suppose -5*a = 2*d - 3*d + 17, -4*d = -5*a - 23. Let n = 5 + -4.8. Put n, o, a in descending order.\nAnswer: o, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -637\/934 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 + 45 = -4*l. Suppose -2*r + 2 = 4*u - 20, -2*r = -2*u + 2. Let t be r\/(-12) - 18\/(-8). Solve 4*z - 18 = 2, t*s - 16 = -l*z for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -1 + 7. Let g be -1 + (t + -4 - -5). Suppose 11 = f - 3*a - 2, 4*f = 2*a + g. Is -3 greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 276 = 56*v - 33*v for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5700)\/(-12350))\/(7\/52).\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7680 = 6*k + 9210. Let o = k + 9552. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 888 take away 258200.3?\nAnswer: -257312.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -8112 divided by -39\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 97993468 divided by 4?\nAnswer: 24498367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -0.3 (c) 25268424\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 144 (c) -2\/7 (d) 4\/3 (e) -9 (f) 75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 27\/2 of a milligram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 17*q + 12. Put q, -1, 148 in decreasing order.\nAnswer: 148, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6772642369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.9369498 centimeters?\nAnswer: 9.369498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h. Let d(r) be the third derivative of 7*r**5\/120 + r**3\/2 + 6*r**2. Let x(a) be the first derivative of d(a). Give g(x(u)).\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + f = 70, -l - 2*l = 4*f - 46. What are the prime factors of 8\/(-36) + 238\/l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -66*w + 74*w + 8 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.03, 5, 4\/3, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -391*y**3 - 390*y**3 - 3*y + 1163*y**3 + 3*y - 387*y**3.\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 392763572 = 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46 and 736.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -7907?\nAnswer: -3\/7907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/2, -2, 3.2, 34?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0958 times -5212.3?\nAnswer: -499.33834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -215*g - 11293. Determine p(-52).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/10559 or 0?\nAnswer: 2\/10559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -22105869, -44211734, -66317599, -88423464, -110529329, -132635194?\n\"Answer: -22105865*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-18) + (-47)\/9. Let j be 78\/15 - (-1)\/k. Solve -2*n - j*y - 1 = 0, -14 = 7*n - 2*n + y for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 5*k**2 - 7*k + 2. Let j(m) = -m. Let l(b) = -20*b - 438. Let a be l(-22). Give a*j(u) - s(u).\nAnswer: -5*u**2 + 5*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 8. Is 2 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of 9*s**5\/20 + s**4\/6 - s**3\/6 - 8*s. Let h be z(1). Solve 3*l + 2 = -r - 0*l, 5*r - h = -5*l for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1304.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**4\/11 + 4*x**3\/11 + 2*x**2\/11 - 4*x\/11 = 0 for x.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.3 - 0.97. Round z to 1 dp.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**4 + z**3 - z - 1. Let l(r) = 4*r**4 + 108*r**3 - 342*r**2 + 348*r - 114. Let y(j) = -l(j) - 2*x(j). Factor y(i).\nAnswer: -2*(i - 1)**3*(i + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - f**2 + 6*f + 6. Let o(t) = -t**3 - t**2 + 5*t + 8. Let p(k) = -3*k**3 - 2*k**2 + 10*k + 17. Let z(q) = -7*o(q) + 3*p(q). Give 5*j(i) + 6*z(i).\nAnswer: -7*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1726 - -1830. What is the lowest common multiple of 26 and u?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -6*f + 4. Let d(l) = -l + 2. Determine d(x) + n(x).\nAnswer: -7*x + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -57.36442 and -1.7?\nAnswer: 55.66442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3 + 10572*f**2 - 9313932*f.\nAnswer: -3*f*(f - 1762)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (25\/10)\/(20\/32). Suppose -2*g - 6 = m. Put -3, 1, -4, g in descending order.\nAnswer: 1, -3, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 5*h + 4. Suppose -l + 2*s = -13, h*l = 9*l + s - 34. Find the third derivative of l*j**3 - 9*j**3 - 28*j**2 + 26*j**3 wrt j.\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -100443043121?\nAnswer: -100443043112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-3\/2)*z)\/z)**(15\/11))**(-29) assuming z is positive.\nAnswer: z**(1305\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*m - m - 5, f + 7*m - 4*m + 44 = -0*m - 2*m for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dkm when three letters picked without replacement from kjdkymykkkukku.\nAnswer: 1\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -190*q + 1334. Let j be o(7). Solve 12*u - j*u = 56 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 + -9. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14842?\nAnswer: 2, 41, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 11:05 PM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 2*j**3\/3 - 37. Let c(k) = -k**2 + 12. What is c(a(u))?\nAnswer: -4*u**4 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000391297047 rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a*a**(-10)*a*a*a))\/a*a)**(-18)\/((a*a*a**(-2)*a*a*a*a)\/a*a\/(a*a**(-18))) assuming a is positive.\nAnswer: a**(-165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 410 a factor of 77436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x + 213 = 4*c + 7*x, c - 3*x - 55 = 0. What is the greatest common divisor of c and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a litre in millilitres?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1663037958?\nAnswer: 2, 3, 12743, 21751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1300, 1302, 1306, 1312, 1320?\n\"Answer: g**2 - g + 1300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**3 - 2*i**2 - 2*i - 3. Let o(b) = -b**3 - 10*b**2 + 16*b - 18. What is the remainder when o(-12) is divided by k(3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 92 and 8959995?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 16, 4, 3\/2, -0.1 in ascending order.\nAnswer: -0.1, 3\/7, 3\/2, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -13. Let g = 18 + q. Let c = -7 + g. Calculate the remainder when 2 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 20 + 10. Suppose -x*h = -3*h + 57. Let m be (-12)\/60 + 2 + h\/5. Put -4, 0, m in ascending order.\nAnswer: -4, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1277, -2498, -3719, -4940, -6161?\nAnswer: -7382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1745 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 4)*((-2*s**2 - s**2 + s**2)*(-3*s - s + 5*s) + s**3 - 4*s**3 + 2*s**3) to the form a*s**3 + x*s + w*s**2 + f and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of 10329*a**2\/2 - 8*a - 4. Let l be p(7). Let n = 36295 - l. Round n to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 4*p**2 + 0*p**2. Let f be ((-15)\/20)\/((-24)\/(-64)). What is u(f)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 65*o + 348. Let u be j(-35). What is the highest common divisor of u and 222?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**2 + 12*x + 9. What is w(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 2, -1, 25 in descending order.\nAnswer: 25, 2, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 122 and 9272?\nAnswer: 9272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 4 = -b - 4*i, 0 = -3*b - 3*i + 3. Let z(w) = -w - 18*w**2 + b*w**2 + 11*w**2 + 65. Is z(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 3:29 PM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 7*l**2 + 16*l - 171. Give i(6).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1995 is divided by 249.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k**2 - 4*k - 82. Is g(9) a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 13\/91 - ((-69)\/7 - 2). Let q be 14 - (-1 - -7 - s). Solve 25*w - 20 = q*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 + 0)*(-3*d - 2*d + 4*d) - 3030 + 3030 + 85*d + 6 - 6 - 79*d as l + q*d and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c - 7. Let q(y) = -y + 2*y**2 + 1 + 0*y**2 - 4*y**2. Let j(g) = g**2 - 6*g - 2. Let d be j(6). Let k be q(d). Calculate w(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1259, -5012, -11279, -20060, -31355, -45164, -61487?\n\"Answer: -1257*v**2 + 18*v - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/30 + ((-14)\/245 - 2752\/36120)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -243 - -248. Calculate the smallest common multiple of 34 and k.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 0.156024?\nAnswer: -0.312048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/20*2\/1*455\/(-70).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7659 and 288.\nAnswer: 245088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 to the power of 1\/2, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 28715.94134 to the nearest 10.\nAnswer: 28720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 251*j**2 + 30*j + 1.\nAnswer: 502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) 862 (c) 0 (d) -1 (e) 5 (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5536 - -5537. Which is smaller: -22\/1215 or k?\nAnswer: -22\/1215","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5833 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216) + -1 + -4 + ((-1*sqrt(1216) - sqrt(1216)) + -4 - sqrt(1216)))*-5)**2.\nAnswer: 7200*sqrt(19) + 123625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 24639769*r**4 + 257058891 wrt r?\nAnswer: 98559076*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18151 + -6627. Is k a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394.74 rounded to the nearest ten?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 8*b - 10. Let m be (-2)\/4*(-4)\/1. Let i be t(m). Suppose 14*j = i*j + 112. Solve -5*v + 0*f + 3*f = j, -2*f = 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1a3 (base 11) to base 16\nAnswer: -ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3402591?\nAnswer: 3, 31, 36587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1370 - 31994 = -38*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 7:54 AM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -389 - -424. Suppose -6*x + v = 29*x. Solve -5*o + 7 = -4*m, 3*o = -m + 6*m - x for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - 5) + (-9)\/(-1). Suppose 35 = b + h. Calculate the common denominator of -11\/8 and (-92)\/14*21\/b.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23? (a) 24\/13 (b) 65 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from migsim. What is prob of sequence gm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -7*v**2 + 8*v**3 + 9*v**3 + 7*v + 1 - 4*v**2 + 6*v**3. Let o = -13 + 20. Let b be c(o). Round b to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 718655.\nAnswer: 5, 7, 20533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 b, and 1 u when three letters picked without replacement from ruwwwwrbu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 209, 198, 181, 158, 129, 94, 53?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*o - 3*o. Suppose 5 = o*q - 20. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1855.31408 to the nearest integer.\nAnswer: 1855","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12841\/10 - -1292. Let r = 3711\/143 + -348\/13. Find the common denominator of y and r.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 13, 292 in decreasing order.\nAnswer: 292, 13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1040, -1042, -1044, -1046, -1048?\n\"Answer: -2*x - 1038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 1 + 1)*(d**2 + d - d) - 135*d**2 + 2*d**3 + 1 + 135*d**2 + 3*d + 116*d**2 + 3*d**3 - 116*d**2.\nAnswer: 4*d**3 + 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 6*n + 4. Let x be j(7). Is x bigger than -17\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p - 2 + 2)*(1 - 1 - 2)*(2 + 2 - 3) as j*p + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1155 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2973*c**2 - 36687*c**2 - 9447*c**2 - 6097*c**2.\nAnswer: -49258*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1188612787, -1188612788, -1188612789, -1188612790, -1188612791, -1188612792?\n\"Answer: -u - 1188612786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 914*i + 4. Let j(f) = -2*f. What is j(v(u))?\nAnswer: -1828*u - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/45)\/(40\/(-200))*(-177)\/(-649)\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*u - 7767 = 10659. What is the lowest common multiple of 1660 and u?\nAnswer: 4980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4281456 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-64)\/(-160) + 4794867\/45 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, j: 1, k: 1, f: 1, i: 1}. Give prob of sequence jf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -52 divided by 13\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, n: 1, l: 3, w: 2, x: 2, u: 1}. Give prob of picking 2 x and 1 l.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**3 - 63*o - 60 = 0.\nAnswer: -4, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22177\/36945 + 2\/7389. Suppose 2*f + 3*f = 0. What is the third smallest value in -3, j, f, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1308033 is divided by 108927.\nAnswer: 909","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10525250 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: What is the third derivative of 276624550*n**4 + 430946982*n**2 - 2*n wrt n?\nAnswer: 6638989200*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1089, -3, 5, 4, 1 in increasing order.\nAnswer: -3, 1, 4, 5, 1089","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 109539900 a multiple of 1258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -17. Let i(x) = x**2 + 12*x + 11. Let a be i(l). What is a rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -17 (b) -0.1 (c) 99 (d) -0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -67*(0 - -1)*-1. Suppose -z = 3*t - p, z + 25 = -t + 84. What is the highest common factor of 11 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 220\/(-1 + 23)*16\/40.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22.68 + -22.18. Which is the fourth smallest value? (a) -1 (b) -0.0562 (c) -0.4 (d) -0.5 (e) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s - 1. Let r be y(1). Let i(m) = -5 + 0 + r + 2*m. Let g be i(4). Solve 0*k + 8 = -g*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -218*d + 214*d + 28. Suppose 25 = -5*o, -2*w - 3*o + 24 = -d*o. Differentiate 11 - w*k + 2 - 2*k**3 + 7*k - 48 with respect to k.\nAnswer: -6*k**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/186934 and 86\/280401.\nAnswer: 560802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**3 + k + 2. Let t(y) = -11*y**4 - 20*y**3 - 34*y**2 + 6*y + 12. Let h(x) = 6*o(x) - t(x). What is the third derivative of h(s) wrt s?\nAnswer: 264*s + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 1906 = -4*p + 6*p, 5*z = 4*p + 3184. Suppose 3*o + 252 = z. Does 9 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -465f92 (base 16) to base 3.\nAnswer: -22200022110022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -122 + 135.4. Round h to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.6? (a) 0.006 (b) 1 (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -2)*176\/16\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*a + 851*a - 22842 = 28618 for a.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7\/198 - 149\/198. What is the common denominator of -32\/9 and j?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 990?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1125 and 3925?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of m**6\/6 - m**5\/5 - m**4\/2 + 2*m**3\/3 + m**2\/2 - m + 6. Factor z(i).\nAnswer: (i - 1)**3*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 15) in base 13?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 16*w**2 - 2753*w - 5472. Give u(174).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l + 1. Let k(d) = 184*d - 2. What is -k(q) - 4*n(q)?\nAnswer: -176*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1463 + 1449. Let j = 208.1 + -208. What is the nearest to j in r, -3\/4, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/(-30))\/(52\/(-130)) + 1 + 0. Is -1155 at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -o**4\/120 - o**3\/20 + 3*o + 32. Suppose r(k) = 0. Calculate k.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + x + 14 = 0, -2*s - 2*x + 12 = -4*x. Suppose -s*a = -0*z - z + 3, 3*a = 3*z - 9. Are 4\/45 and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -15*a**3 + 33*a**2 + 310*a - 1226. What is z(4)?\nAnswer: -418","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 100*y**2 + 99 + 96*y**2 + 19*y**2 + 185*y**2 - 54 to l*y + j + p*y**2 and give p.\nAnswer: 400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-89 + (-112176)\/(-1254))*4\/5.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 + -46. Let x = q - -44. What is the remainder when x is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/19)\/(1232\/(-1672))?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1809405 divided by -2\nAnswer: 1809405\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 215261334 to the nearest integer?\nAnswer: 599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from -6153796049087.8.\nAnswer: -6153796049091.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 705*k**3 - 16940*k**2 - 36700*k = 0.\nAnswer: -2, 0, 3670\/141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of w**6\/2 - 37*w**4\/12 - 16*w. What is the third derivative of b(h) wrt h?\nAnswer: 360*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*f - 28 = -3*j - 23*f, 0 = -4*f + 4. Suppose 4*c - 6*c = -12. Calculate the smallest common multiple of j and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -194 - -194.792. What is t rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.102 + -8.502. Let r = 10 + w. Let d = 0.4 + r. Which is the smallest value? (a) -0.08 (b) -4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(8\/(-3 + 11)). Suppose 4*i - 891 = s + 6680, 0 = -3*s + o. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-1)\/6*(-456)\/16?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/(sqrt(640) - sqrt(640)*2) + (sqrt(68)\/sqrt(4) - sqrt(17))**2 + -2 + (sqrt(34)\/sqrt(2) + 4 - sqrt(17)).\nAnswer: -sqrt(17)\/8 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.04 - -0.04. What is the closest to c in 0.03, 2\/11, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -86\/3795 and -26\/2645.\nAnswer: 87285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2087051?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -d. Let p = 14 + -10. Which is the third smallest value? (a) -0.4 (b) d (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 8*b**2 - 7*b + 16. Let y be f(-7). Solve 0 = 3*i - 5*a + 4*a - 14, y = 5*i + 2*a for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 21 = 2*g, g - 5*q = -g + 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, i: 1, j: 2, z: 4}. What is prob of sequence ziz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111 - 382 - 27 - 10*v.\nAnswer: -10*v - 520","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Convert 131a (base 11) to base 9.\nAnswer: 2315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 5 + (5 - 7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/627394 and 39\/506.\nAnswer: 6901334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = g - 2*s, -3*g + 5*s + 16 = -0. Suppose -14*u = -11*u + 5*n - 712, -g*u + 458 = -5*n. List the prime factors of u.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4.9, -0.3, -5, -1.09?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 x when four letters picked without replacement from {x: 1, n: 7}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4896191*s**2 - 2*s - 5824967?\nAnswer: -9792382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 190535305 or 190535307?\nAnswer: 190535307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -955\/8 equal to -120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6.062265kg?\nAnswer: 6062265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 2:26 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 9 = -8*j + 3*j, 0 = 5*o - 3*j - 6. Factor -10*v**2 + 9*v**2 + 2*v**o - 27*v - 5*v**3 - 17*v**2.\nAnswer: -3*v*(v + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*o - 121*o = -141 - 1531 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + -19 + (2 + -56 - -30).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 1:14 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 121204? (a) -1 (b) -5 (c) 1\/3 (d) -4\/5 (e) 5\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*t**2 - 58*t**2 - 58*t**2.\nAnswer: -90*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -320 - -4304214032?\nAnswer: 4304213212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 640, 1257, 1838, 2371, 2844, 3245?\nAnswer: 3562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 4*n + n**2 - 2\/3*n**3 - 6. Solve f(j) = 0 for j.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5*((-16)\/50)\/2*5. Let g = 4 - a. Is 4 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 4*d**4 + 3516*d**3 + 10520*d**2 + 7008*d = 0.\nAnswer: -876, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = q + 7, -5*q + 12*o - 13*o + 20 = 0. Solve -6*x - 3 = -x - g, -5*g = -q*x - 15 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111442 (base 6) to base 9.\nAnswer: -84868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = 2*m + c + 2*c + 12, -4*m = c - 111 for m.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -903.00001955 + 903. What is z rounded to six decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 786825 a multiple of 807?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11742 - 4631 = -1214*v - 1897 + 3734 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -4. Is 8 a factor of (20 - (-5 - m))\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/7)*w)**(27\/7)*(w**1*w)**44)**(2\/5) assuming w is positive.\nAnswer: w**(8894\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 215 - 235 - (6 - 16)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 8:52 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-840)\/(-16)) + (-34)\/63?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29.5 - -9.5. Let b = 28 + -48. Let g = a - b. What is the nearest to 1 in 1\/4, 1\/2, g?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence umu when three letters picked without replacement from uumurmmmuummmum.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 843613.\nAnswer: 843613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.445 + 2.475. Let o = 29.13 - 29. Let y = v - o. Round y to zero decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 142\/4 + 3\/(-3) and -101\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -54*u - 224. Determine h(-9).\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 113104064*g*x**2 + 4*g*x - 20229*g + 3*x wrt x?\nAnswer: 226208128*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t + 7. Let o be h(-7). Suppose 15 = -2*m - 5*u, o = -4*m + 3*m - u - 3. Let p = 9 + m. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2401, -2366, -2335, -2308, -2285, -2266?\n\"Answer: -2*d**2 + 41*d - 2440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 20 = -3*c, -107*c + 5 = -h - 97*c for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -7 + 2 + 4. Suppose -4*n - 9 = -57. Let b(v) = 6 + 5 + v - n. Determine 2*b(g) - 3*c(g).\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 6. Suppose r - n = 54, r - 3*n = -5*n + 42. What is the remainder when r is divided by (j - -4)*(-91)\/(-28)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -122435 (base 8) in base 15?\nAnswer: -c7ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/45*(27\/12)\/(-3).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-6) - (-119)\/21. Suppose -11*s = -w*s - 342. Suppose -2*d + s = 19. What is the greatest common factor of d and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1458 divide 16033758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + -5. Let q(d) = 7 - 15 - d + 6. Let j(o) = 9*o + 21. Calculate b*q(l) - 2*j(l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/332 and (-14)\/(-175) + (-3)\/((-1800)\/(-1383)).\nAnswer: 3320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 12:52 AM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = -6 + 13. Is (-3 + n)*((-10460)\/8 - -3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3981457 is divided by 10288?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.6 - 9. Let t = -16 - x. What is the nearest to -0.1 in 0.5, 0.1, t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 25*l + 55. What is x(25)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 986257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2097198356 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43 and 3182.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 10:00 PM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.020976831 to two decimal places.\nAnswer: -1.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nbguuyy. Give prob of picking 2 u and 1 g.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -68*x**2 + 1578870*x + 2089800.\nAnswer: -2*(x - 23220)*(34*x + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 237720100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2411, 4838, 7265, 9692?\n\"Answer: 2427*q - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**4 + 10906086*s**3 - 9911925371487*s**2 + 59471257764924*s - 89206739415468 = 0. Calculate s.\nAnswer: 3, 1817678","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from kxkkkxkxxxkx.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j + 4*j = 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5941, -5922, -5903?\nAnswer: -5884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*m**3*s**4 + 24*m**3*s - 15812*m**3 wrt s?\nAnswer: -24*m**3*s**3 + 24*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211*z - 26*z**2 + 6 - 211*z + 104*z**2.\nAnswer: 78*z**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 153, -13, 4, 5, -5 in decreasing order.\nAnswer: 153, 5, 4, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c - 545575293854 + 545575293854.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 191192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d52 + 2?\nAnswer: 1d54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -1211*r - 18048. Determine o(-15).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 54 - 64 = 0. Let w(r) = 21*r**2 - 19*r**j + 4*r**2 + 9*r**2. Let g(p) be the first derivative of 4*p**3\/3 + 1. What is w(g(n))?\nAnswer: 240*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**6 - 2*k**4 - 290*k**3 - 677*k**2 wrt k.\nAnswer: 120*k**3 - 48*k - 1740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 6. Suppose y*l - 4*l + 28 = 2*r, -14 = -r - 5*l. Let u = 18 - r. Let f(x) = -x**3 + 5*x**2 - 5*x - 4. What is f(u)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 4, -z - 4*v + 7*v + 2 = 0. Suppose z*i - 3*i = 104. Let w = i + -41. Calculate the remainder when w is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34338 and 79650.\nAnswer: 7726050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57425522.\nAnswer: 2, 7, 11, 61, 6113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 4*i - 324. Let t(o) = o**2 - 33*o + 200. Let z be t(25). Suppose z = -2*r + 11*r - i. Does 10 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 932 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 + 50\/35)\/((-1)\/35). What is the highest common factor of 180 and k?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4838*o - 4838*o - o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 172584 a multiple of 423?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**2 - u**2 - 2*u**2 + (-2*u + u + 0*u)*(-2 + 2 - u)*(-10 + 12 + 3).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(36\/(-16)))\/(10\/15).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4184609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of 0 + 0*f - 1\/6*f**4 - 1\/6*f**3 + 251*f**2 - 1\/60*f**5. Give h(3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -20 + 24 + (-2)\/(6\/15). Let k(s) = 40*s + 32. Let j(u) = u + 1. Let x(n) = 32*j(n) - k(n). What is x(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12187 - (-13 + 14 - (3 - 1)).\nAnswer: 2, 11, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kiikkikkikkkkkik. Give prob of sequence kkkk.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.05 (b) 360\/11 (c) -1\/6 (d) -0.9 (e) 3 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 12330?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -720*u**3*v**3 - 51*u**3*v - 59*u**3 - 2*u**2*v + u*v**2 + 511*v**3 + 2739*v**2 - 3*v wrt u?\nAnswer: -4320*v**3 - 306*v - 354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -t**6\/480 - 71*t**5\/240 + 145*t**4\/96 - 73*t**3\/24 - 51*t**2 - 23*t. Solve h(x) = 0 for x.\nAnswer: -73, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 18*a + 636. What are the prime factors of u(0)?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/16*324\/243?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 8*w**3 + 105352752*w**2 + 105352746*w + 26338186 = 0.\nAnswer: -13169093, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v + 3 + 2*v**2 + 4 + 4 - 6. Let f(m) = -10*m**2 - 4*m - 24. Let j be (-17 + 1242)\/(-25)*((-10)\/(-14) + -1). Determine j*x(w) + 3*f(w).\nAnswer: -2*w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 92 - 112. Let b be ((-8)\/6)\/(2\/(-3)). Let c = b - 0. Put c, 1, h in decreasing order.\nAnswer: c, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27676339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 336?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 13 = -2*h + 14, 0 = -3*h + o + 4. Let w = 0 - -4. Solve 0 = l - h*l + w for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2816.60045015 + 2816.6. What is b rounded to five dps?\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(432) + -2)**2 - (((sqrt(9) - (sqrt(9) - (sqrt(9) - -1*sqrt(9))))\/sqrt(3) + sqrt(3) + sqrt(3))**2 + (sqrt(36)*-1)\/sqrt(12)).\nAnswer: sqrt(3) + 384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11447\/4 - 2877. What is the common denominator of u and -67\/750?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 372\/(-110) + (-5)\/(935\/(-34)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 25 + 7 = 0. Suppose 30*q - 25*q - 180 = 0. Suppose 0 = -h + q. Calculate the greatest common divisor of h and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23278 = 5142*i + 69556 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -d**4\/12 + 3*d**3\/2 + d**2 + 2*d. Suppose 2*h - 27 = -h. Let t be n(h). Solve -3*a - t*j + 1 = -6*a, 4*j = 4*a + 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**3)\/((j*j**(-13))\/j))\/(((j\/((j**1*j)\/j*j*j))\/j)\/(j*j**8)) assuming j is positive.\nAnswer: j**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + l - 25 = 0, -2*l = 5*f - 3850. Suppose -6*u + f = -2*u. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/398? (a) 49 (b) 0.8 (c) -2\/7 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -10*a + 25. Let d be o(2). What is the third derivative of 459*f**2 + 269*f**d - 229*f**2 - 229*f**2 + 35*f - 99*f**5 wrt f?\nAnswer: 10200*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 564 + -823. Let a = -27023.1757323 + 26764.17572. Let g = f - a. Round g to 6 dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 865 - 845 = 0. Solve y = 2*x - 1, k*y - 25 = -5*x - y for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16.38 + -0.38. Let x = -21 + k. Let l be 270\/(-315)*((1 - 1) + 1). Which is the closest to -4? (a) l (b) -0.1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 300 - 227. Let n = 214 - 140.8. Let w = b - n. Put w, -4\/3, 0.4, 1 in decreasing order.\nAnswer: 1, 0.4, w, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2*-3)\/(9\/(-12)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-637 + 21478*a + 321 + 316 - 67650*a)*((3 - 3 + 1)*(-a + 0 + 0) - a - 2 + 2 + 0*a + 2*a - 3*a) to y + h*a + d*a**2 and give d.\nAnswer: 138516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(81)*1 + sqrt(81) - sqrt(81)))\/(sqrt(108)*4 - sqrt(3)))**2.\nAnswer: 108\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**3 - 16*b**2 + 79*b - 134. Let u be t(8). Solve -u*x + 509*x = 88 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 136 = -52. Suppose 0 = 3*n - a - 38, -2*n + a + 8 + 19 = 0. Solve n*z - 4 = s*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.8303 rounded to zero decimal places?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/8)\/(-2*3\/48)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 9482?\nAnswer: -2\/4741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - (-5 - -1))*1. What is the greatest common factor of b and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16047111761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 405.53382 to the nearest 10.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-27)\/42*59444\/(-264). Let x = -144 + a. Factor -27\/2*g + 0 - 9\/4*g**2 + 3*g**3 + x*g**4.\nAnswer: 3*g*(g - 2)*(g + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4198*y + 102*y**2 - 55*y**2 + 14*y**3 - 47*y**2.\nAnswer: 14*y**3 - 4198*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -103 + 74. Suppose -8 = 4*t, -2*b + 4*t = 9*t + 66. Which is bigger: b or w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**24\/v*v)\/(v*v**29)*v\/(v\/(v*(v*v\/(v**(-30)*v)*v)\/v))*v**(5\/13) assuming v is positive.\nAnswer: v**(343\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 1 (b) -5 (c) 34\/7 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 33, 0 in increasing order.\nAnswer: -3, 0, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 8*n + 18*n + 8*n + 8*n. Let j be y(2). Let i = -43 + j. What are the prime factors of i?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-26))**(-7) assuming q is positive.\nAnswer: q**182","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 5 + 3 + 1 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) -0.04 (c) -82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -56427610 to the nearest 1000000.\nAnswer: -56000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -74997, -74999, -75001, -75003?\n\"Answer: -2*o - 74995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 17*z**2 - 20*z + 3. Let a be q(-14). Let d = a - -844. What are the prime factors of d?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, g: 7, l: 4}. Give prob of picking 1 g and 3 l.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14613, -29219, -43825, -58431?\nAnswer: -73037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*y**2 + 1131*y - 2261*y + 1130*y - y**3.\nAnswer: -y**3 - 23*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + w - 3 = 0, -26 = -22*y + 18*y + 3*w. Suppose -2*p + 0*a = a + 41, 4*p + 3*a = -77. Let h = p - -25. Solve -h*m + y*m - 30 = 3*o, o = -m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7335.035t to micrograms.\nAnswer: 7335035000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 4. Suppose o*m - 1 = 2. Solve 5 = 5*b - 4*x, -5*b - m - 4 = -2*x for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 8:47 PM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5*p - 8. Let i = 255 + -244. Let z(d) = 2*d - 3. Determine i*z(v) - 4*s(v).\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 50.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvvvuvvvvvvvvvv. Give prob of sequence vu.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**5 - 13998*m**2 + 155*m - 56.\nAnswer: -20*m**3 - 27996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of c**5\/20 + 5*c**4\/12 + 5*c**3\/6 + 2*c**2 - 3*c. Suppose -1 = -3*p - 70. Let a = 19 + p. What is b(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -109691590 rounded to the nearest one million?\nAnswer: -110000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21352679 and 1907.\nAnswer: 1907","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 88 = 140. Let z(j) = q*j**2 - 23 - 13*j**2 - 9*j**2 + 0*j**2 + 2*j - j**3. Give z(16).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2310 and 48361500?\nAnswer: 338530500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -0.003?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7784)\/973*(-1)\/8*2\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000381506 to seven decimal places.\nAnswer: -0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2 - 2*z - 4. Let r(b) = 6*b**2 - 6*b - 12. What is 6*r(n) - 17*s(n)?\nAnswer: 2*n**2 - 2*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*p - 44*p = 1816745. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 383 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 12. Suppose -3*i + i + 13 = m*o, 4 = 4*o - 4*i. Is 5\/20*204\/o a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 500 and 550.\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8873, -8958, -9089, -9278, -9537, -9878, -10313, -10854?\nAnswer: -11513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -1\/9 (b) 5 (c) -1 (d) -187\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (26*n - 2 + 0 + 30*n)*(-2*n**3 - n**3 + 4*n**3) - 1 + 1 - 8*n**4 in the form h*n**3 + g*n**2 + q*n + m*n**4 + k and give m.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1961, 4177, 6393, 8609, 10825, 13041?\nAnswer: 15257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -i, 22*l + 368 = 26*l - 4*i. Does 59 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 32 = -c + 25, c + 3 = -2*n for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10043479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(19\/3)*c**(-2\/49))\/(c\/c**(1\/8))**19 assuming c is positive.\nAnswer: c**(-12151\/1176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 182 and 205387?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d - 283*d**3 - 25*d**2 + 282*d**3 - 317*d**2 to t*d + c*d**2 + j + w*d**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13.6 + 1.2. Let h = v + -2.6. Let i = h + 15.0043. What is i rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.896 - 2561.\nAnswer: -2570.896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.2 - 4.1. What is the smallest value in 1\/4, 7, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 6. Suppose -105*c + 98*c = -28. What is the nearest to -2\/5 in h, -5, c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((20\/28)\/(34\/51))\/(6\/4).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 73 - 63. Suppose k*g = 14*g - 16. Suppose g*f - 447 = 429. What are the prime factors of f?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13159 - 5241. What are the prime factors of f?\nAnswer: 2, 37, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 0.053\nAnswer: -0.159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f = 71*f - 286*f, -8 = 3*h + 4*f - 26 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2821 + -11223\/4. What is the common denominator of i and -87\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -630 - -64?\nAnswer: -566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 30 + 15 - a.\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 65901*f**3*v**2 - 2*f**3*v - 4*f*v + 2150*v wrt v?\nAnswer: 131802*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*s + 5 - s**2 + 4*s + s to v*s**2 + p*s + x and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 7:29 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -29161 + 22.6420301\nAnswer: -29138.3579699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1150 + -1013. What is the remainder when 676 is divided by j?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(48\/(-60) + 1).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6799156 rounded to 2 decimal places?\nAnswer: 1.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -29667.4406 + -0.5\nAnswer: -29667.9406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 16\/117315 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 88\/267 - 10156\/21093. Let s = -2947\/158 - h. Let k = 2051\/3 + -696. Find the common denominator of k and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 divided by 31081\nAnswer: 18\/31081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/276 and 101\/462?\nAnswer: 21252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-156)\/30 - (-170)\/25.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -1644*f**5\/5 + 2*f**3\/3 - 655*f**2\/2 + 3647. What is the third derivative of v(s) wrt s?\nAnswer: -39456*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3574*b**3 + 77*b**2 + 9 wrt b.\nAnswer: -21444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*b + 48*b**2 + 1 - 21*b**2 + 4*b - 29*b**2.\nAnswer: -2*b**2 + 77*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10961.\nAnswer: 97, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -5*q**2 - 2*q + 51. What is the smallest common multiple of 1026 and u(-3)?\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1454 to two decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3669 is divided by 153.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*m + 5*m. Suppose m = 3*k - 0*k - 27. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/667 + 661\/2001. What is o in a*o**3 + 2\/3 - 1\/3*o - 2\/3*o**2 = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 29484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 7\/5, 96, -2\/23, 0.4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a millennium in years?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 65? (a) -1 (b) 0.1 (c) 0.4 (d) -62 (e) -55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10191 times -24.28?\nAnswer: 247437.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 201200021?\nAnswer: 201200100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*127\/((-9144)\/(-567)).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2107330063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4796269.\nAnswer: 1693, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6320 divided by -16?\nAnswer: -395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 12*j**2 - 5*j + 2. Give h(-10).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 8 + 2. Suppose -4*v + 4*o = -o - 60, m*o = -8. Let g(f) = 150*f + 300. Let q be g(-2). Solve q = z + p + 5, -3*z + 2*p + v = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*3540.7356.\nAnswer: 17703.678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3121201301 (base 5) in base 9?\nAnswer: -13077004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-12) - (-258)\/36. Suppose -4*j + 45 + r = -p, -28 = -4*j - 5*p. Calculate the lowest common multiple of 16 and j.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34.7 + 50. Let r = 15 - f. Which is the third biggest value? (a) r (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2175444575 to the nearest integer?\nAnswer: 1296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13023 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 69*h**2 + 375*h + 463. Let t be i(-74). Calculate the greatest common divisor of 48 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.26 + -0.66. Put 4\/9, g, 3 in descending order.\nAnswer: 3, 4\/9, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**5\/17 - 2*b**4 + 150*b**3\/17 - 86*b**2\/17 - 152*b\/17 + 120\/17 = 0. What is b?\nAnswer: -1, 1, 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42357.048 - -42276. What is b rounded to one dp?\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164145 is divided by 40773?\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3*(-86)\/66*1 and 51\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15182, -15560, -16582, -18572, -21854, -26752, -33590, -42692?\nAnswer: -54382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of 89*p**6\/20 + p**5\/60 + 5*p**4\/12 + 31*p**3 + 175*p**2 + 2. Find the second derivative of r(j) wrt j.\nAnswer: 3204*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 12734, -3\/4, 1\/4, 5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6657 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -171360 by -544.\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5071 - -4941. Is n at most as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y + 10*y + 66 = 0. What is the tens digit of y + (-2)\/((-10)\/15) + 232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-456)\/(-1482) + (-12638)\/(-6162) - 2*35\/30\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-25))\/(12 - (-275)\/(-22))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**3 + 7*x**2 + 15*x + 7. Let r(a) = -a**3 + 4*a**2 + 8*a + 4. Give -7*r(y) + 4*z(y).\nAnswer: -y**3 + 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 6:21 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 242*o**2 + 2321*o - 259. Calculate z(232).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 109662\/3887 >= 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22573984*k**2 + 1020422*k.\nAnswer: -45147968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -48 - 10. Let j be ((-6)\/5)\/(1\/10). Let y = j - f. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*-3*(-22)\/(-44))\/(-42)*2\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from sqquuqq?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.12, -2, 122 in decreasing order.\nAnswer: 122, -0.12, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.58 or 1?\nAnswer: -0.58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-12)\/(w**(-2\/13)*w)*w**8\/(w*w**7) assuming w is positive.\nAnswer: w**(-167\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 222*q - 76*q - 71*q - 72*q. Let d(p) be the first derivative of -2*p**3 + 12 - 3*p**3 - 3*p**3 + 12*p**3. Give d(s(w)).\nAnswer: 108*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 0. Let i = r - -4. Let s = 4 + i. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 57?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94.95174 litres to millilitres.\nAnswer: 94951.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-120)\/(-18))\/(2\/(-6)). Let d = -34 - g. What is the tens digit of d\/77 + (-378)\/(-22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88077 is divided by 197?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 138 + -133. List the prime factors of c + 954\/2 + 0.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 2 (b) 0.17 (c) 19 (d) -1\/2 (e) -160\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -106, -0.02, 8\/11?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 5 = -3*l, -3*l - 6 = -o. Let x be (-4 + o)\/4 - 1. Which is the nearest to -2? (a) 14 (b) x (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32417321 is divided by 158.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -26096319326305 minus 0.4?\nAnswer: -26096319326305.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of u**4\/24 - 8*u**3\/3 - 105*u**2. Calculate b(0).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*n**2*t**4 + 3*n**2*t + 5*n**2*v + n*t*v - 5*t**4*v + t**2 wrt t.\nAnswer: -576*n**2*t - 120*t*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**1\/q)*q*q**(2\/7))\/(q**(1\/3)\/((q*(q*q**(-2\/9)\/q)\/q)\/q)) assuming q is positive.\nAnswer: q**(46\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + k**2 + k + 1. Let z(f) = 3*f - 8*f + 3*f**3 + 1 + 1 + 2*f**2 + 8*f. Let u(g) = -g + 2. Let l be u(0). Give l*h(r) - z(r).\nAnswer: -r**3 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*f = 2*x - 39*f + 4, 4*f + 30 = -x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-4 + sqrt(325) + -1)*-4)**2.\nAnswer: -1600*sqrt(13) + 11200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27418?\nAnswer: 2, 13709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-198)\/308*(-7)\/(-12)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-40)*(-1755)\/(-1053).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 + -11. Let r = 13.7 - -2.3. Let o = d - r. Which is the third smallest value? (a) 2\/19 (b) 4\/3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y*y*y\/y**(1\/20))\/y*y**(-5\/11)\/y)\/(y*y**(-5\/7)*(y\/(y**(-19)*y))\/y))**(-1\/48) assuming y is positive.\nAnswer: y**(8619\/24640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjmwmrhrmwmhmrwww. Give prob of picking 1 h, 1 w, and 1 m.\nAnswer: 50\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1952816 is divided by 108488?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -2*k - 2*k, 0 = -k + 5*b + 12. Calculate the common denominator of (-2)\/17*209\/38 and 136\/6 + -5 + k.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -3*n + 37, -20*f + n = -19*f + 9 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 6\/263, 23503, 2, -3?\nAnswer: 6\/263","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1267177*x**3 - 4 + 1267071*x**3 + 4.\nAnswer: -106*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 2*m**2 + 2*m. Let g be t(-3). What is the highest common factor of g and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/9 - 10460*h - 1505728\/9.\nAnswer: -2*(h + 16)*(h + 47054)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 8826314*m. Let a(k) = -2*k. What is a(w(v))?\nAnswer: -17652628*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.11 + 5.11. Let v = -0.2 + -1.8. Let i = v + -3. Which is the smallest value? (a) i (b) 4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -333 - 10221?\nAnswer: -11220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 283.3738 + 0.1262. Round t to the nearest 10.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q + 0*q - 4*q. Let o(c) = -11*c**2 - 17*c + 17. Let g(w) = -2*w**2 - 3*w + 3. Let m(r) = 34*g(r) - 6*o(r). Calculate x(m(v)).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4*f = -0*m - 16, -3*f = -5*m - 12. Let z = m - -3. Suppose -96 = -x - z*x. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**2 + 2*w**2 + 2 + 0)*(2*w**2 - w**2 + 2*w**2).\nAnswer: -3*w**4 + 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -249748, -249754, -249770, -249802, -249856, -249938, -250054, -250210?\nAnswer: -250412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26586*m**3 + 6621*m**3 + 2032*m**3.\nAnswer: 35239*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3436*b + 6918*b - 2691*b)*(-3 + 1 + 1).\nAnswer: -7663*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-110*25\/1125)\/((-24)\/18)?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 >= 47\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 210254 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -324 to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/((4 - 2)\/2). Let v(k) = 109*k**3 + 2*k**2 - 1. Let u be v(1). Suppose -4*r - u = -s*r. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2 = -i + 1, 2*k + i - 2 = 0. Let w be k\/(-2)*0\/2. Suppose 3*q - 6 - 27 = w. What is the highest common factor of 99 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*f)*(5*f - 4*f - 4*f)*(1376*f - 49*f**3 - 1376*f).\nAnswer: -294*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*i**2 + i - 4*i + 4*i + 4*i**2 + 2*i**3 + 5*i**3 in the form v*i**2 + h*i**3 + r*i + l and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*-2*((-16968)\/126)\/(-101).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -977*r - 735*r + 786 + 14622 = 0 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1485698 to the power of 1\/4, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -988, -3643, -8106, -14371, -22432?\n\"Answer: q**3 - 910*q**2 + 68*q - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3*8\/6)\/(-2). Suppose 90 + 20 = 4*n - 2*w, -5*n + w = -130. Solve b*o - n = 7*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2319938*n + 1158868*n + 1161069*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6709 - 6709 + 205*c**3 + 2*c - 11*c**2.\nAnswer: 205*c**3 - 11*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gww when three letters picked without replacement from {g: 1, j: 1, w: 2, p: 1, r: 2, h: 2}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -1\/51277 (c) 161\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (18\/11)\/((-758)\/8338)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -393 divided by 1\nAnswer: -393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1419413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 27133 (base 8) in base 10?\nAnswer: 11867","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -122*c - 3. Let a(v) = 41*v + 1. Let k(f) = 7*a(f) + 2*x(f). Is k(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 236224 and 531504?\nAnswer: 2126016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/10, 0.18, 0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4 = 1. Let k be (-2)\/(-4)*5*2. Solve 0 = 3*w + i*x + k, -6*w - 5*x + 35 = -11*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 4, -3 in descending order.\nAnswer: 4, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 - 20. Let s = 17.4 + -0.4. Let a = -22 + s. What is the nearest to h in a, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (44\/(-55))\/((-2)\/5). Suppose -4*v - t*k = 28 - 106, 5*v + 4*k - 90 = 0. List the prime factors of v.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 53280?\nAnswer: -53282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7567736, -7567735, -7567734?\nAnswer: -7567733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -82\/35049 and 34\/110008797.\nAnswer: 770061579","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17915.658306 rounded to 1 dp?\nAnswer: 17915.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4613*q**2*z**4 + 31*q**2 + 218*q*z**3 - 3*z**2 - 84556*z wrt z?\nAnswer: 55356*q**2*z**2 + 1308*q*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 5*m + 47. Let p be u(-9). Let g be 0 - (-2)\/(-60)*4. Which is the nearest to 0.1? (a) 5 (b) p (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 5. Let n(f) = f**2 - 9*f - 1. Let r be n(9). Let q be 16\/3 + r\/3. Solve q = 3*l - 5*v, 3*l + 3 = v + x*v for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 3, a: 1, s: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4690, -18743, -42158, -74929, -117050, -168515, -229318, -299453?\nAnswer: -378914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38617181?\nAnswer: 311, 124171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 49 - 35*s - 7 + 34 - 16 + 46.\nAnswer: -35*s + 94","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0582 and 6.\nAnswer: 5.9418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/8, -17, -1, -2, 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.361784 nanometers to kilometers.\nAnswer: 0.000000000008361784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*w + 338 = 0, -4*x + 2*x + 3*w = -226. Let k = -116 + x. Solve -5*r = -5 - k for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**2. Let v(r) be the third derivative of -r**4\/8 + 9*r**2. What is q(v(i))?\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + 0.1. Let w = -4.827 + -0.173. Which is the nearest to o? (a) w (b) 3\/4 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 5*k - 115, 0 = -r - 0*r + 3*k - 3. Let y = -38 - -36. Let v be r\/(-2 + 3)*y. Solve -11 + v = -5*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -o**8\/672 - o**7\/21 - 7*o**6\/24 - 5*o**5\/6 - 65*o**4\/48 - 4*o**3\/3 + o**2 - 4. Let t(l) = 0. Calculate l.\nAnswer: -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 4 + (-1 - 2 + 1)*(-4 + 3 + 2) - 6 + 4 + 9)*(1 - 1 + f)*(0*f + f + f).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -315 (base 7) to base 9\nAnswer: -186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32387168, 64774274, 97161378, 129548480?\nAnswer: 161935580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1140628296 to the nearest integer?\nAnswer: 33773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45443 is divided by 149.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-182)\/42 - -4) + 21\/81. Which is the nearest to 1? (a) -3 (b) 2\/27 (c) q (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 647578?\nAnswer: 2, 323789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -10*u**2 - 120*u - 22. Let o be f(-12). Which is the second smallest value? (a) 2 (b) -1 (c) o (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -388 - -1163\/3. Which is smaller: k or 22?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.15 (b) -94\/21 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 243874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.087 * -0.051037\nAnswer: -0.004440219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -5, -2\/9, -2, 23.16 in decreasing order.\nAnswer: 23.16, -0.2, -2\/9, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/50 of a millennium?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 56877491 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 17 and -5518349.\nAnswer: -5518332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 355*n - 389*n + 17 + 153 = 0. Solve -13 = d + 5*a, -n*d + 11 = -8*d - a for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*5\/(-15))\/(4\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*b = 2*b - 6, 4 = 5*l + 3*b. Suppose 0 = -3*r + 6 + 9, l*k + 19 = 5*r. What is w in 4*w**k + 4\/3*w**5 + 4*w**4 + 0*w + 0 + 4\/3*w**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -38*m - 46 - 47 + 34*m + 123. Determine n(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5954488161.\nAnswer: 3, 3559, 557693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -328*x + 656*x - 48*x**3 + 16*x**3 - 338*x + 256*x**2 + 65*x**2.\nAnswer: -x*(x - 10)*(32*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01251 rounded to three decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -512 (c) -29\/19 (d) 0.6 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16969 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15407*n*r*y - 27*n*r - 2*n + 2*r*y + 4*r - 3*y - 7 wrt y.\nAnswer: -15407*n*r + 2*r - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 100?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -487, -3\/4, -0.2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -6*b**2 + 2*b + 1\/6*b**4 + 2\/3*b**3 + 0. Does 18 divide x(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u + u + u)*(4 - 2 - 4)*(-51*u - 466 + 466)*(39 + 6 - 24)*(-u**2 + 0*u**2 - u**2) as g*u**2 + a*u**3 + v*u**4 + d*u + j and give v.\nAnswer: -4284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 0 = -l + 13, -4*l + 4 = -4*w. Suppose -3*j - 1 = 2. Which is the nearest to j? (a) w (b) -0.3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nx when two letters picked without replacement from cnxqtzncttn?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 314\/(-471)*1*(-12)\/7\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 58472 - 26643. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k - 2*k + 169*k**2 - 105*k**2.\nAnswer: 64*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -37042 times -2277\nAnswer: 84344634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*8\/(-32)*4\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 1. Let m be v(0). Suppose 0 - 3 = -f. Suppose m = f*q - 23. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -50*(-106)\/(-795)*3\/2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78109 + 43669. What is o rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3637\/7 + -18171\/35. Let s = -1445 - -53468\/37. Let k = -13\/296 - s. Which is the nearest to j? (a) 2\/15 (b) k (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -122.3 + -18.7. Let w = 142 + j. Let x = 0.3 - 0.4. What is the nearest to w in -2, x, -1\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -212.77 + 209. Let n = y - -3.7. Are n and -0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*c - 149*c = 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of a**5\/90 + 5*a**4\/24 + a**3 + 119*a**2\/2 - 16. Let v(x) be the second derivative of g(x). Let v(h) = 0. Calculate h.\nAnswer: -6, -3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1239.556 kilograms to tonnes.\nAnswer: 1.239556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2\/((-112)\/(-6)))\/((-1)\/4)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c + 20. Let a be r(-22). Let i(q) = q**3 - 7*q**2 + 8*q - 3. Let o be i(6). Let k be ((-3)\/o)\/(2\/6). Is k less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 6 + 7)*(7 - 1 + 12)*(-4*p**3 + 6*p**3 - 4*p**3) as u*p**2 + j*p + g + a*p**3 and give a.\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73, -106, -139, -172, -205?\nAnswer: -238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 110.1 or 0.21?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -825 divided by -143?\nAnswer: 75\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -30*b**2 - 2*b + 756. Let t(p) = -2*p. Give t(r(h)).\nAnswer: 60*h**2 + 4*h - 1512","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 6*l**2 + 3*l - 3. Let h be o(-6). Let d = -36 - h. Let n(m) = m**2 + 4*m - 16. Is n(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - 10. Suppose 3*q = -3*h + b, 3*q + 2*h = 4*h. Suppose -q*x - d + 3 = x, x + 13 = -5*d. Let k(v) = 2*v**3 - v**2 - 2*v - 1. Determine k(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34.5 + 34.083. Let p = 0.007 + y. Let l = p + -0.19. Put -4, 2, l in descending order.\nAnswer: 2, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/20 - 23\/(-5). Suppose -3*h + 2*h + q*f = -31, -32 = -2*h + 4*f. Suppose 0*r = -3*r + h. Solve 3*b = -2*u - r*b - 33, -4*b - 12 = -2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 6*u**2 + 6*u + 5. Let x be y(-7). Suppose -3*f = 3*c + 12, -4*f - x = c + 7. Solve c = -k - 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56 - -82. Let n = u + -26.000038. Round n to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (671*h**3 - 220*h**3 + 144*h**3)*(-2*h - 2 + 2) + (-1 + 1 - 1)*(-h**4 - 4*h**3 + 4*h**3).\nAnswer: -1189*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 + 0)*(-2 + 2 - 11*a)*(-a**2 - 2*a**2 + 5*a**2) + (a**2 + 3*a**2 + 3*a**2)*(-a + 3*a + 0*a) - a**2 + a**2 + 2*a**3.\nAnswer: -50*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -754\/23 < -34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -110 in 1, 4, -2\/15, 3\/7?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2276773, 9107028, 20490763, 36427978, 56918673, 81962848, 111560503?\n\"Answer: 2276740*t**2 + 35*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -8 + 1 + 14 + -5 - -9?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 5*h. Let n(c) be the second derivative of c**3\/3 - 41*c + 1. What is -3*d(z) + 7*n(z)?\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p**3 + 14*p - p**2 - 12*p + 7*p**2 - 4 to b*p + s*p**2 + v + c*p**3 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156390 is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-124)\/(-155)*(1*2)\/4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 35890*k**3*t - 7*k*t**3 + 10*t**3 - 3*t**2 - 112 wrt k.\nAnswer: 107670*k**2*t - 7*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11584 and -0.068.\nAnswer: 787.712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*l + 11. Let t(c) = -c - 11. Let r be t(-12). What is the tens digit of r + 0\/l - -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -81.372 + 72.84. Round z to zero dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.6023149 to one decimal place.\nAnswer: 8.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -4*k - 12. Suppose -4*g = 5*t + 2 - 12, -4*t + 2*g = 18. Is t greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 527 a factor of 36017183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16248*l + 5233*l + 6 - 6.\nAnswer: 21481*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 0*b = 14. Suppose b*h = 3190 + 1227. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 13\/2 + -3)*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -19. Suppose -3*y - i*w - 2220000 = 0, -3*y + 4*y + 740000 = w. What is y rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -49830.\nAnswer: -19932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*m**2 - m**2 - 12*m**2 - 12*m**2 - 2*m**3 to the form r*m**2 + y*m**3 + l*m + a and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10218 = 223*o - 257*o - 359*o for o.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-6))\/((-1)\/60)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-2) + 6\/18. Let n = -734 + 731. Sort n, z, 0.04 in increasing order.\nAnswer: n, z, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3624\/180 - 12\/(-450)*-5. Which is smaller: 102 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2\/(-6))\/(5\/(-525))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 530904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -334*g + 335*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/9 not equal to 551?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-35))\/((-38)\/1064*-4)\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3d (base 15) to base 7.\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -122 + 122.1. What is the third smallest value in h, 0, -4, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2435, -5352, -8283, -11234, -14211, -17220, -20267?\n\"Answer: -p**3 - p**2 - 2907*p + 474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1384815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 7*y + 1. Let d(c) = 11*c + 2. Calculate 5*d(r) - 8*g(r).\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 7*b**2 + 10*b. Is a(7) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365708414 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2202610754?\nAnswer: 2, 359, 3067703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**2\/6 + 18673433*x\/2 + 28010150\/3 = 0. What is x?\nAnswer: -1, 56020300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -574\/5, 0.1, -1, 2\/7, -4, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + -9)\/(-12)*8.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or -28\/2365?\nAnswer: -28\/2365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 3*y**2 - 4*y. Let a(z) = z**3 - 3*z**2 - 5*z + 2. Let v be a(4). Let r(b) = -b**2 - 1. Let x be r(v). What is the units digit of w(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 20413 = 2837. What is the thousands digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17943766 is divided by 81?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -10*q**2 + 58*q + 70. Let c(p) = -4*p**2 + 23*p + 29. Let t(w) = 12*c(w) - 5*k(w). What is t(10)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + c**2 - 2*c - 2. Let d be r(-4). Let k = d - 36. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (23\/(-1656)*-9)\/(2*(-1)\/(-12))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 18 = 2*b. Let o(a) = -3. Let g(h) = -3*h + 6. Let s(y) = -4*y + 6. Let l(x) = -5*g(x) + 4*s(x). Determine b*o(q) + 3*l(q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/(sqrt(48)\/sqrt(4)))\/sqrt(4) - (sqrt(500)*-2*-2)**2.\nAnswer: -8000 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of 283*r**5\/60 + 9*r**4\/8 - r**3 - 53*r**2 - r. What is the second derivative of x(p) wrt p?\nAnswer: 566","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8180110 is divided by 178.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000028352 rounded to 7 dps?\nAnswer: 0.0000284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*f - 109*f**4 - 5406 + 5304 - 2*f wrt f?\nAnswer: -436*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*b - 5*b - 24. Let z = 4 + -2. What is the greatest common factor of z and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x - 6. Let n be c(11). Let l be n\/10 - (-6)\/(-8). Is l at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13.1 times 2\nAnswer: -26.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of s**3\/3 - 14*s. Let i(p) = -p. Let c(j) = 2*f(j) + 2*i(j). Let w(r) = 6*r**2 - 4*r**2 + 4*r**2. Give c(w(o)).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -352.13 + 351.73. Put -14, w, -0.105 in descending order.\nAnswer: -0.105, w, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*s + 11. What is the second derivative of 4*j**s + 11*j**3 + 13*j - 4*j**2 - 20*j wrt j?\nAnswer: 66*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w**2 - 29*w - 130. Let n(d) = -3*d**2 + 28*d + 131. Let p(g) = 5*b(g) + 4*n(g). Factor p(o).\nAnswer: 3*(o - 14)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 3*y**2 - 2*y - 7. Let t be o(4). Factor -3 - 4*r**2 + 5*r - 3*r**3 + t + 0 + 4*r**3.\nAnswer: (r - 2)*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 402 + 30?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -14, -20, -1, -4, 4 in descending order.\nAnswer: 4, -1, -2, -4, -14, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) + -2*(sqrt(1053) - (2 + sqrt(1053) + sqrt(1053))))**2.\nAnswer: 216*sqrt(13) + 9493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 116, 1860, -1, 24, 0 in ascending order.\nAnswer: -1, 0, 24, 116, 1860","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15109439.4 + 0.268.\nAnswer: 15109439.668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 4, -2\/35, -4, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000801657 to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -37164851.2 to the nearest ten thousand.\nAnswer: -37160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -9*j + 7. Let v(c) = 8*c - 8. Calculate 7*m(l) + 6*v(l).\nAnswer: -15*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -72 >= 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -87.2 - -87. Let z = 11 - 16. Is z greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2211466, 2211459, 2211436, 2211391, 2211318, 2211211, 2211064?\nAnswer: 2210871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*t + 5*m, -7*t + 28 = -3*t - m. Let j(f) = 4*f**2 - 5*f. Let w(z) = -5*z**2 + 6*z. Let r(h) = t*j(h) + 5*w(h). Let v(n) = 3*n. Give v(r(i)).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 3*r**4 + 1344*r + 1\/4*r**5 - 2304 - 24*r**3 - 160*r**2 = 0.\nAnswer: -12, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 8*f**2 - 5*f - 8. Let b(r) = -r**2 + 8*r. Let n be b(7). Calculate the smallest common multiple of q(n) and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 104 - -2897. Let h = 3002.411 - n. What is h rounded to one dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/2 of a tonne?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2773*s + 4237 = -2996*s for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/3096 and -71\/19608?\nAnswer: 58824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5 (b) -14 (c) -2 (d) 0.5 (e) -0.4 (f) -436\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -21. Let n = 2.315 - -0.685. Which is the nearest to -2? (a) -2\/67 (b) n (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**4*n + 472*a**4 - 3*a**3*n - a**3 + 64*a**2 - a*n - 6*n wrt a.\nAnswer: 24*a*n + 11328*a - 18*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.02 + -0.07. Let t = y - 0.35. What is the nearest to 1 in 5, -2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.6 - -7.6. Let o(j) = -6*j + 1. Let z be o(-4). Suppose -b - 4*b = z. What is the smallest value in b, u, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, g: 7, l: 7}. Give prob of picking 2 d and 2 l.\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.12, 2\/9, 0, -5, 3, -6 in decreasing order.\nAnswer: 3, 2\/9, 0.12, 0, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 143200000 to the nearest one million.\nAnswer: 143000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 5*o - 441 - 130, -2*o + 240 = 5*b. Let r = o - 100. Solve q - r = -2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -5*d - 3. Let l be r(-3). Let q = 20 - l. Let p(i) = -9*i - q*i + 14*i. Let z(v) = -2*v. Determine p(z(o)).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2197 minus -12.8?\nAnswer: -2184.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2016768 and 1024?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.01 - -2.01. Sort -4, w, -2 in ascending order.\nAnswer: -4, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v + 7. Let c(j) = 29 + 24*j - 9*j - 14*j - 11*j - 3*j. Determine 4*c(o) - 18*x(o).\nAnswer: 2*o - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11667 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1.58, -2\/9, 14\/11, -2, -3?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3)\/(((-375)\/25)\/(-810)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2061*j**2 - 2016*j**2 + 4213*j**2.\nAnswer: 136*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 14 + 6. Let x(t) = -6*t + 52. Let z be x(8). Suppose -z*y - 4*v = -51 - 5, -42 = -k*y + 2*v. Solve -y = -3*p + p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 116*x + 118*x - 239*x for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2618*a - 39779. What is i(15)?\nAnswer: -509","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45927 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -6. Suppose 0 = p*j - 246 + 1146. Round j to the nearest 10.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128384461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115797?\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**3 + 49*w**2 - 18*w + 8. Let t(y) = y**3 + 33*y**2 - 11*y + 5. Calculate 5*a(i) - 8*t(i).\nAnswer: 2*i**3 - 19*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*j**2 - 372 + 372.\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**2 + 0*q**3 - q**3 + 18 - 9 - 5 + 2*q. Let c be j(-2). Solve 0 = -3*z - 4*x - 11, -x + c = 2*z - 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -147\/4*g - 3\/4*g**2 - 897\/2.\nAnswer: -3*(g + 23)*(g + 26)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-27)\/(-6)*1846\/39. Find the second derivative of 1 + j**5 + 27*j**3 + 109*j - a*j + 85*j wrt j.\nAnswer: 20*j**3 + 162*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k - k + 0*k)*(-2048 + 2048 - 184*k) as b + o*k + f*k**2 and give f.\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 98275*m**2 + 8115*m.\nAnswer: 196550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6 + 9 - (61 + -2). Let c = y - -50. Is 6 a factor of (-1)\/(c\/320) - (-27)\/(-81)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p**4 + 0*p**2 + 2*p**4 + 2*p**6 - 7*p**2 wrt p?\nAnswer: 240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 79.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -3*f**4 - 135*f**3 - 1989*f**2 - 9633*f = 0.\nAnswer: -19, -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14858 is divided by 677.\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q - 54 = 50. Which is smaller: q or -6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 23 - 65. What is the greatest common factor of u and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5*u = q + 106, -3*q = -5*u - 159. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uubbu. What is prob of sequence buu?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3575580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1989*n**3*u**2 + 6794*n**3 + 3*n**2*u**2 + 7*n**2 wrt u.\nAnswer: -3978*n**3*u + 6*n**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (30\/(-6))\/(17*-3). Let l = u + 19\/153. Which is the closest to -1\/4? (a) -1 (b) 0.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**2 - 3*i**2 + i**2 - 1 - 2*i**3)*((-1 + 2 - 2)*(0*i**2 + i**2 + 0*i**2) + 11*i**2 - 9*i**2 + 13*i**2).\nAnswer: -28*i**5 + 28*i**4 - 14*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 506410889 is divided by 267.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1 + sqrt(1008) + 4 + 0 + sqrt(1008) + -2))**2.\nAnswer: 1728*sqrt(7) + 145188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o**2 - 57*o + 329. Give i(6).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 129341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a - 9. Let z be d(0). Let h be 9\/(-6)*(1 + z). Let j be ((-312)\/(-273))\/((-5)\/(-35)). What is the highest common factor of j and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a**2 - 175*a - 345. What is l(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2. Let t(h) = -327*h**2. What is t(d(c))?\nAnswer: -327*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -53 or -207?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o - 164. Let y(a) = 86346*a**2. Determine x(y(m)).\nAnswer: 259038*m**2 - 164","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 25342730 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = g + 2, -2*b + 5*g + 18 = g for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z**3 - 4*z**2 + 9*z - 1. Is b(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (5 - 8) - (3 + 1 - (8 - 7)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 488 is divided by 79?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -7*h**2 + 2*h - 6. Let n(y) = 0 - 2 + 3. Let s = 1 + 0. Let w(g) = s*p(g) + 6*n(g). Find r, given that w(r) = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 43 + 22 + 0*v**2 + 24. Give h(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -148 - 80. Let s = 17 - z. Is (-1)\/5 + (-41968)\/s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -292*q**3 + 38*q**2 - 30*q - 251. What is the thousands digit of x(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 16) to base 5.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rku. What is prob of sequence ukr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5652.\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.982 + -0.018. Let k = -1.2 - v. Put k, -3, -5, -2 in ascending order.\nAnswer: -5, -3, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5*p = 310, 12*p - 11*p = -h + 167. Solve h = -39*d + 64*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21961.833 - 34.\nAnswer: 21927.833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.17 - -6.17. What is the closest to -1\/4 in k, 1\/4, -1, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -440404255?\nAnswer: -440404254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 4*d**2 + 6*d + 2. Let x be w(5). Let s(o) = o**2 - 5*o - 10. What is the units digit of s(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, m: 3}. Give prob of picking 1 v and 3 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 10*n - 11*n - 28 + 5*n + 7*n. Is r(24) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*o - 23*o + 13*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-348)\/((-12)\/4))\/2. Let g = h - 38. Let k be (-3*1)\/(12\/g). Put 6, -2\/5, k in descending order.\nAnswer: 6, -2\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 - 2*r + 34. Give u(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 9. Let u = x - -8. Let j = 0.4624 + -1.3624. What is the second biggest value in u, -4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 12:38 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3616791?\nAnswer: 3, 47, 113, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 411193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89b1 (base 16) to base 14.\nAnswer: cbbb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8508451\/60 - 141814. Let u = m + 32\/5. Which is the nearest to -2\/7? (a) -4\/9 (b) u (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639713.8 rounded to the nearest one hundred?\nAnswer: 639700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -808.308 and 26?\nAnswer: 834.308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p - 127. Give l(-20).\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3*w + 516 = 0, 33 = -5*h + 5*w + 683. What is the least common multiple of 210 and h?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 140 and 715436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 4*i + 4. Let r be a(-1). Suppose 2*u + 42 = -3*q, 5*u + 3 + 12 = r. Let v = 17 + q. Solve -4*j + 2*b - 4*b - 16 = 0, 3*j = -v*b - 26 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 283*a**3*b**2*q - 28*a**3*q + 5*a**3 + 2*a*b**2 + 3*a*b + 93*b with respect to q.\nAnswer: 283*a**3*b**2 - 28*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-624*y**2 + 624*y**2 + 55*y**3)*(-1 + 3 - 3)*(-2*y - 3 + 3)*(0 - 1 + 2)*(-2 + 1 + 0) in the form h*y**4 + o*y + b + k*y**2 + t*y**3 and give h.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*(y**4\/y)\/y*y)\/(y**6\/y*y))\/(y\/y**(2\/3)*y)**49)\/((y\/y**(-4\/9)*y*y**(4\/5))\/(y\/y**(-1\/2))**(-1\/6)) assuming y is positive.\nAnswer: y**(-12749\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -89*z**2 + 68*z - 7. What is the first derivative of v(n) wrt n?\nAnswer: -178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -3. Let r(u) = -n*u**3 + 2*u + u**2 - 3*u + u**3. Let f be r(0). Solve -m + 0*m - 4 = f for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8911*m + 53308 = -20799 - 50647 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -629192868 and -12.\nAnswer: -629192880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -300*i - 413. What is the units digit of h(-30)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 3*m - 13. Suppose 2*y - 4*z + 2 = 3*y, -4*y = -4*z - 28. Let g be t(y). Solve 3*u - 4*b - b - 22 = 0, g*u - 14 = -3*b for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 79*j**3 - 250591*j**2*z + 17*j*z - 74*j + 10961*z wrt j?\nAnswer: 474*j - 501182*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*t + 2*t + 4*t + 893 - 893 - 10*t + t + 3*t - 6*t + (1 - 1 + t)*(-3 + 3 + 2) + 0 + 2*t + 0 - 4*t - t + 4*t.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/3 + 166348*y\/3 - 3458957138\/3.\nAnswer: -2*(y - 41587)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 310, 317, 326, 337?\nAnswer: 350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8817624?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/24 and 17\/57.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -92758140.19999829 + 92758141. Let c = 0.8 - i. Round c to seven dps.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, -3, 2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - g - 1. Let h(k) = -11*k**3 + 2*k**2 + 4*k + 5. Let j(w) = -h(w) - 4*v(w). Suppose 1 = 3*f + 4. What is j(f)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 22201220001112?\nAnswer: -22201220001201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*16795.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18847 is divided by 569.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 13, -3 in increasing order.\nAnswer: -9, -3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 10*a**2 + 26*a - 11. Let z(w) be the first derivative of -2*w**3\/3 - 5*w**2\/2 + 2*w - 8. Give 2*u(g) + 11*z(g).\nAnswer: -2*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14 - (1 + 8\/(-4)). Suppose z + j = 4*z. Solve d = -z + 1 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1098777 divided by 5\nAnswer: -1098777\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.6801997 + -4.68. Round u to 5 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 192 + 193 - 384 + 76*r**3 + (2 - 2 - r**3)*(-5 + 4 - 1) to the form h*r**2 + j*r**3 + u*r + p and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 12:56 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84085 - 1515 = -1742*q - 20208 for q.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 936*l + 624*l + 638*l - 1157*l.\nAnswer: 1041*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2306781, -2306811, -2306841?\n\"Answer: -30*s - 2306751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 2 + 22. Let v be 1 + -2 + (j - 2). Is (-3 + 2)\/2*v*-1082 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -163464 (base 9) to base 11\nAnswer: -69964","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by 70.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19.58 - 18.471. Let f = o + -1.107522. What is f rounded to 4 decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -11.21433531 and 891.1.\nAnswer: 879.88566469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 265882, 1063488, 2392816, 4253854, 6646590, 9571012, 13027108?\nAnswer: 17014866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(11)*-1*-2)**2)*5.\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 14*l**2 + 13*l + 4. Let k be y(-13). Let x = -41 + 42. Let v = -12 - -7. Put k, v, x in ascending order.\nAnswer: v, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -29017, -28845, -28575, -28207?\nAnswer: -27741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 10*w**2 + 25*w - 25. Let h(g) = 3*g**2 + 8*g + 0*g**2 + 1 - 5 - 4. Let z(q) = -7*h(q) + 2*v(q). What is z(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 2*g = 91. What is the remainder when g is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 10*d**2 + 10*d - 7. Let b = -66 + 99. Suppose -6*k - b = -3*k. Let a be g(k). Solve 2*m + 2 = a*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/8*6)\/(((-450)\/4)\/(-75))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 42 = 4*v, -2*v - 5*w + 4*w + 20 = 0. Let a = -65 - 16. Let d = 162 + a. Calculate the greatest common factor of v and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -46*p**3 + 2*p**2 + 8*p + 18. What is the thousands digit of u(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10835418 = 9*w - 48*w + 10838382 for w.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 144291722 + -38299722. What is g rounded to the nearest one hundred thousand?\nAnswer: 106000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 + 0*w**2 + w**2)*(5*w - 2*w + 0*w)*(0 + 2 - 4).\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/486 and 31\/11556.\nAnswer: 104004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.246967 - 0.246967. Let l = 0 + -0.2. Which is the third biggest value? (a) 5 (b) -0.1 (c) l (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*p**5 + 10*p + 1 - 35*p**2 + 5 + 35*p**4 + 5*p**3 - 6 = 0 for p.\nAnswer: -1, 0, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -99 - -107. Let r = z - -68. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uaquaaqaryqqayaa. What is prob of sequence uqyq?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19 or -1574?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 + 73661624*m - 339127178144836.\nAnswer: -4*(m - 9207703)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 273371 and 273372 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5 + 3.5. What is the third smallest value in 0.3, f, 7, 2\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {b: 2, z: 18}.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*b + 10. Let n(a) = 2*a + 0*a**2 + 3*a**2 - a**3 + b*a**2 + 6. What is the tens digit of n(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2928*z + 152*z - 52744 = 0 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6671120 is divided by 3335527?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 535 and -0.206.\nAnswer: 534.794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -525*j + 4924. What is c(10)?\nAnswer: -326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 147584 and 128?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44 - -33. Let m be 6 + -1 + (-15 - o). Let i(n) = 5*n**3 - 2*n**2 + n. What is the units digit of i(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 d when two letters picked without replacement from lvvitdf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - a + 4 + 4, 3*g = 4*a + 14. Let u(x) = g*x - 618 + 610 - 5*x + x. Let r(h) = 2*h + 7. Give 5*r(n) + 4*u(n).\nAnswer: 2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by 2268.\nAnswer: -1\/162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h**2. Let l(u) = 12*u - 1. What is l(f(y))?\nAnswer: 48*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2708, -2699, -2684, -2663?\n\"Answer: 3*s**2 - 2711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t. Let m(o) = 3*o**3 - 2*o**2 + 2*o - 1. Let w be m(1). Let h be 31\/4 + w\/8. What is the units digit of b(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 39 - 5 - 2*s**3 - 17*s**3 + 17*s**3 + 0*s**3.\nAnswer: -2*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 3652110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(99) - (sqrt(99) + 1 + sqrt(99) + 3)) + sqrt(99))**2)*1 - (2 + (4 + (sqrt(1100) + 0)**2)*-1).\nAnswer: 1117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(((-1200)\/18)\/20))\/((-48)\/10)\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*u**4*w**3 + 44*u**4*w**2 - u**2 - 446*u - 2*w**3 wrt u?\nAnswer: -168*u*w**3 + 1056*u*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/119 or -9629?\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 3. What is the third smallest value in m, -4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -79 divided by -2474\nAnswer: 79\/2474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31015098*q**3 + 62030199*q**2 + 31015104*q + 3 = 0. Calculate q.\nAnswer: -1, -1\/10338366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1461150 and 45270.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -37 in -2, 412, -1\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -15*f. What is the nearest to f in 5, -3\/4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24.220519 - -24.074. Let j = 0.147 + r. Round j to 5 dps.\nAnswer: 0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3889107.\nAnswer: 3, 17, 37, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -38, 417, -2, 2 in descending order.\nAnswer: 417, 4, 2, -2, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of q**5\/80 - 49*q**4\/32 - 25*q**3\/4 - 540*q**2 - 2*q. Factor a(x).\nAnswer: 3*(x - 50)*(x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 19*b**2 - 2*b - 5. Let i be h(19). Let s be -4 - i - (3 - 0). What is s rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -3*o. Let a = 20 - 20.4. What is the second biggest value in 2, a, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 22*v**2 - 3 + 14*v**2 + 0 + 4. Let w(m) = 7*m - 319. Let q(n) = 2*n - 87. Let d(t) = 22*q(t) - 6*w(t). Give b(d(i)).\nAnswer: 144*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 6:27 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -3. Let g(l) = 3*l**3 + l**2. Let h be g(n). What is the lowest common multiple of 11 and h\/(-6) + (-85)\/(-15)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*6\/(-540) + (-12586)\/1044.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62734 is divided by 15676?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -96 + 1246\/13. Let f be 2*3 + -2 + 1. Let a = f + -3. What is the closest to i in 0, -1, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4 + -0.2. Let v = 32 + -35.6. Let s = v - l. Which is bigger: s or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3855*q**2. Let w(p) = -4*p**2. Give l(w(v)).\nAnswer: -61680*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 3*n**2 - 3*n + 5. Let m be w(-4). Let x = -36762 + 36800. Is x smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 9:47 AM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3442, -6980, -10612, -14338, -18158?\n\"Answer: -47*g**2 - 3397*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8220 - 5?\nAnswer: 8215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -14 (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.4 - 0.4. Let q = 0.84 - 0.79. What is the nearest to 1 in y, q, -0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 12*v**2 + 10*v + 3. Let q be b(-11). What is the units digit of (-56)\/(-12)*144\/q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 0.8. Let b = m - -0.9. Put 6\/11, b, -3\/5 in descending order.\nAnswer: 6\/11, b, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/3 - 1050\/18. Let p = q - -102. Is p a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 455 divided by -492620?\nAnswer: -91\/98524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2496 = -10*t - 2316 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ojoojoqqomqoqqoqooq. Give prob of sequence qmqj.\nAnswer: 7\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 13*k**2 - 12*k - 12. Let a(i) = -37*i**2 + 35*i + 36. Let g(w) = -6*a(w) - 17*f(w). Give g(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19462540?\nAnswer: 2, 5, 251, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.013 and -1733.\nAnswer: -22.529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 10 = 0, 0 = 3*o - 2*g - 0*g - 2197. Is 10 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6804 and 294?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6735, 13419, 20097, 26769, 33435, 40095, 46749?\n\"Answer: -3*t**2 + 6693*t + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 6*m + 10. Let f be s(2). Let n = 0.88 - 0.48. What is the closest to -1 in n, 1, f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*x**2 - 3*x**2 - 28*x + 7*x**2 + 2*x**2 to v + h*x + c*x**2 and give h.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3822 and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*z - 8421 = 15*z. Suppose 1097 + z = 25*u. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 15. Suppose 0 = 2*u + 5*x + 238, d = -4*x - 26 + 10. Let b = u - -1852\/17. Which is smaller: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7838654?\nAnswer: 2, 3919327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -23.973 less than or equal to 142.12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - 4*a - 1. Let p be j(5). Suppose 5*y + 2*n + 33 = 5, -3*n + 4 = -p*y. Let t be -999 + -3 - 8\/y. What is t rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/11, -7746, -1\/42 in descending order.\nAnswer: -1\/42, -3\/11, -7746","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -20*2 + -4 + 4. Let o = 76 + f. Is 2 a factor of (-1)\/(68\/o + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.4*-865\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d, -5*d - 18 = -4*x + x. Let c(a) = -a**2 + 3*a + 6. What is c(x)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94566 divided by -3?\nAnswer: -31522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/88*(-6528)\/28560?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.6832 to the nearest integer.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -174060.\nAnswer: -696240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from pppppccppspicippcpp?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4\/7 - 4\/7*y - 1\/7*y**2 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15.436 and 0.075.\nAnswer: -1.1577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -2*b + 1. Let x(z) = z**2 + 9*z + 22. Let w be x(b). Calculate the highest common factor of w and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4793318 is divided by 199721.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 4\/75157 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(152) + 1*(sqrt(152) - (sqrt(152)*2 + sqrt(152))) - sqrt(152)) + sqrt(152) + sqrt(152))\/(sqrt(72)\/(sqrt(9)*-4 - sqrt(9))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 563381 is divided by 187762?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**2 - 2486034*s - 1545091262289 = 0?\nAnswer: -1243017","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence asw when three letters picked without replacement from {s: 4, w: 2, a: 5}.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 - 33. Let b = r + 11. Let x(m) = 0 + m - b - 2. What is x(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36\/1475 or 0?\nAnswer: -36\/1475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 466*z**2 + 20501*z - 105. Let o be d(-44). Suppose -21\/4*j**2 + 201\/4*j - o = 0. Calculate j.\nAnswer: 4\/7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 63581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (88*k + 400 - 400)*(-3*k + 9 - 9)*(1 + 0 - 4) in the form r + v*k + u*k**2 and give u.\nAnswer: 792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -31*z**3 + 6*z**2 + 5*z + 6. Let h(t) = 32*t**3 - 7*t**2 - 6*t - 7. Give 6*h(l) + 7*k(l).\nAnswer: -25*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/21*-8)\/((-22)\/1155*21).\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-144 + 32 + 22)*(0*l**3 + l**3 - 2*l**3)*(226 + 492 - 107) as a*l**2 + d*l + k + r*l**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2088, -4001, -5912, -7821?\nAnswer: -9728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 v when two letters picked without replacement from {i: 1, j: 2, w: 1, l: 2, o: 1, v: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t - 5*t = 689. Suppose t = -20*h + 353. What is the remainder when 53 is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -9*u**2 + 386*u + 13. Let a(b) = 20*b**2 - 772*b - 29. Calculate -8*a(y) - 18*h(y).\nAnswer: 2*y**2 - 772*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r**4 + 3*r**4 - 6*r**4 + (-44*r - 170*r - 20*r)*(4*r**3 + 3*r**3 - 5*r**3) as a*r**2 + g*r + p + z*r**4 + q*r**3 and give z.\nAnswer: -471","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/2)\/((-3)\/2). Suppose -2*f - 40 = 3*f + 4*v, -2*f + 4*v = -12. Which is the second biggest value? (a) -0.1 (b) s (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.06 + 0.06. Let l = -14346\/299 + 1100\/23. What is the nearest to -1\/4 in l, 7\/2, j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*(j\/j**(3\/4))\/j)\/j*j*j**(-6\/7)\/j assuming j is positive.\nAnswer: j**(-17\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1971015 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0198 and 2.\nAnswer: -0.0396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*w - 459 - 331 = 0 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 5*p**4 - 4475*p**3 + 923520*p**2 + 35375360*p + 34447360 = 0.\nAnswer: -32, -1, 464","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eleven tenths of a century?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1340100 (base 5) in base 7?\nAnswer: -143151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4 + (-3 + sqrt(891) + sqrt(891))*-5 + -2*(-2*sqrt(891) + sqrt(891))))**2.\nAnswer: -1584*sqrt(11) + 57145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2463.331 to the nearest 100.\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 214*(-6)\/72 - (-2)\/(-1) and -9\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k\/(k*k*k*k**0*k*k*k)))\/k**(1\/4))\/(k**0)**(-45))\/((k*k**6\/k*k)\/(k**(2\/21)\/k))**(-4\/3) assuming k is positive.\nAnswer: k**(4105\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(272) + sqrt(272)*-2 + sqrt(272)) + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of r**6\/120 - 7*r**5\/60 - 23*r**4\/24 - 11*r**3\/6 + 39*r**2. Calculate the remainder when n(10) is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**50)\/c**25 assuming c is positive.\nAnswer: c**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1497227 or 1497174?\nAnswer: 1497174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -111, -188, -267, -348, -431, -516, -603?\nAnswer: -692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1070212, -2140425, -3210640, -4280857, -5351076?\nAnswer: -6421297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 3*y - 35. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -553933.6 - 7723\nAnswer: -561656.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of m**6\/120 - m**5\/30 - m**4\/24 + m**3\/3 - 9*m**2\/2 - 9*m. Let d(s) be the first derivative of p(s). Factor d(l).\nAnswer: (l - 2)*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20425 is divided by 309.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(228) - sqrt(228))*4 - sqrt(228)) + (1*(2*sqrt(228) + sqrt(228)) - sqrt(228) - sqrt(228)))\/((2*sqrt(60)*2)\/sqrt(5)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 107817097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 5*j - 15, -3*a + 40 = 10*j - 5*j. What is the nearest to 1 in -12, 0.3, 4, a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 957 + -512. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -79, -77, -65, -37, 13, 91, 203, 355?\n\"Answer: o**3 - o**2 - 2*o - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -844 = -r - 3*r. Is r 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 1542?\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(77))\/sqrt(11) + sqrt(175) + 3.\nAnswer: 3 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b**2 + 10*b - 3. Let d(y) = 9*y**2 - 31*y + 8. Calculate 3*d(q) + 8*f(q).\nAnswer: 3*q**2 - 13*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/9)*j)**(-3)\/(j**(-5\/4)*j**19) assuming j is positive.\nAnswer: j**(-257\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37\/165 - -1\/11. Let g = 4 - 0. Let o = g + -3.9. Which is the nearest to o? (a) 5 (b) 0.1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (668 - 706) + (-10)\/(-2)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20262 + 486215\/24. Find the common denominator of p and 11 + -15 + (-77)\/(-8).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*1\/2*(-360)\/(-6). Let v = 14 - x. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/4584 and 73\/51576?\nAnswer: 9851016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 1:35 PM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 + 39. Solve -m + 2*d = -t, -3*m + 5 = -4*d - 24 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) -2\/3 (b) -0.5 (c) -0.3 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -679647*n**5 - 307*n**3 + 779326727*n wrt n.\nAnswer: -13592940*n**3 - 1842*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 * -3294.\nAnswer: -263.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -37.2 (b) 31 (c) 4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*q + 6236*q + 5525*q.\nAnswer: 11874*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/5)\/2*-56*(-14)\/147.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 165.78 + -166. Let j = w + -0.7. What is the second smallest value in 1, j, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2748605, -5497209, -8245813, -10994417, -13743021?\n\"Answer: -2748604*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -448 at most -54188\/121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e7866 - -8?\nAnswer: -e785e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 3*c**2 - 2. Let w be n(-2). Suppose -3*s + 45 = 5*g + s, s - 18 = -w*g. List the prime factors of 92\/6 + 6\/g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 8*k**2. Let r(y) = 20*y. What is r(j(v))?\nAnswer: 160*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(117) + (sqrt(117) - -3*sqrt(117)*1) + sqrt(117) - (2 + -4 + sqrt(117) + sqrt(117) + 0 + sqrt(117))) + 2)**2 + -1.\nAnswer: 126*sqrt(13) + 1101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)*1*-4 + sqrt(1400)*-1 + sqrt(56))\/(sqrt(32)\/(2*sqrt(4)*6)).\nAnswer: -96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-710)\/(-213) + ((-1)\/3 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3069 - 1512. Is g > 1556?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-8) + (-3)\/6. Let h = 0.016 + -0.046. Is h smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 290658, 1162516, 2615566, 4649808, 7265242?\nAnswer: 10461868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-15))\/(9\/(-15)). Let r = 133\/5 + -1267\/45. Let o = r + 61\/45. Which is the nearest to -1? (a) 0.5 (b) d (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 510, 2101, 6406, 14781, 28582, 49165?\nAnswer: 77886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vwqqvqqgqgkvqwvw. What is prob of sequence vk?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2\/5, 4, -6 in descending order.\nAnswer: 4, -2\/5, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9137*b**3 + 4*b**2 - 3*b - 21 wrt b?\nAnswer: -54822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -981.2073684 to the nearest ten.\nAnswer: -980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1630 - -49?\nAnswer: -15d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ell when three letters picked without replacement from ezlzzzizzzzlzezzzzz.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253221 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2179 - -10592. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1642\/8 + 55\/220. Let r = -207 + y. What is the second smallest value in -5\/4, 0.16, r?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r = -9*r + 9*r. Put -0.5, -2\/7, -3, -0.1, r in increasing order.\nAnswer: -3, -0.5, -2\/7, -0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m + 10. Let l be (20\/25 + -3)*-5. Determine k(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/7*(23 - 16). Let y be (1 - z) + (-2)\/1. Solve q - 5 = -y*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + 718*w - 15158. Calculate z(20).\nAnswer: -398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 356*c = -376*c - 174*c + 6342 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 + 3*h**3 - 78234*h**2 + 78234*h**2.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 5*m = -22 + 16, 0 = -2*m for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294150 is divided by 98041?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 176549, 706640, 1590271, 2827442?\n\"Answer: 176770*a**2 - 219*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/27 + (-893)\/(-171).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2523*u + 4510. What is the hundreds digit of t(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d + 14*d = 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 15*u**2 - 4*u - 62. Let s be z(-15). Let g be ((-95)\/19)\/(10\/(-12)) + s. Solve -2*h - 4*j = -g*h - 10, -30 = -h - 5*j for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 835226?\nAnswer: 2, 7, 59659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/27)\/((-10)\/(-30))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010001 - 1110001110?\nAnswer: -10000011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 607183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.54 - -4.54. Let n be 32\/(-6) + (-2)\/3. Let w(k) = -k**2 - 6*k + 4. Let z be w(n). Which is the closest to -2\/5? (a) -3 (b) i (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 4*t + 560809 = 0, -373901 = -18*v + 16*v + 3*t. Suppose 5*k - 4*b - 173577 = v, 5*k + 5*b = 360475. What is k rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -29.3, 3\/4, -1\/34, -0.2 in decreasing order.\nAnswer: 1, 3\/4, -1\/34, -0.2, -29.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a - 14. Let y(i) = 56609*i. Give t(y(n)).\nAnswer: 56609*n - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 68437023979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/94481 and -36\/6181?\nAnswer: 661367","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -15*h**2 - h + 1. Give j(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -6. Suppose 5*i = -5, 2*i + 21 = 2*u + 3*i. Solve 3*m - t*q - q = -u, -q = -5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-31488)\/(-216) - (-4)\/18 - 6. Calculate the greatest common factor of 196 and r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -19 + 22a816?\nAnswer: 22a7b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7005 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305554 is divided by 35?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 36018 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/45*15\/10.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -106 + 111 - (15 - (-1 + 5 - 7 - -7))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -6?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 2:11 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sspsssssspsplssptps. Give prob of picking 1 t and 3 p.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17033*k - 5*k**2 - 17033*k.\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - 23) + 6 + -7. Let s = 31 + i. Let o(z) = -z + 9. Let u be o(s). Solve -29 = -5*h + 4*a, -5*h = u*a - 6 - 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18.3 + -18.4. Sort -21, -1\/3, 1\/5, j in increasing order.\nAnswer: -21, -1\/3, j, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 39 = 4*n, -3*n = -14*u + 25 + 63 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(7431*b - 64*b + 15690*b + 2316*b).\nAnswer: 50746*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 17 - 5 - 4 + 11*w.\nAnswer: 11*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 + 4*o + 2*o**2 - 53 - 2*o**2 + o**2.\nAnswer: o**2 + 4*o - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 18*i + 15. What is a(-16)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47 - 49. Let f be -1*4390 + 16\/(-7 + 3). List the prime factors of f\/(-52) + a\/4.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven quarters of a meter?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2*377.5\nAnswer: 755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + h)*(-3*h + 0*h + 2*h)*(h**2 - h + h + (2 + h**2 - 2)*(-5 - 6 + 5)).\nAnswer: 5*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 130, -7\/306, -2\/11?\nAnswer: -7\/306","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -4, -2171?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**2*r\/(r*r**(-3\/2))*(r\/(r*r\/r**1))**(-28))\/(r**(2\/15)*r\/r**(1\/3)*((r*r*r*r**0)\/r)**(-2\/25)) assuming r is positive.\nAnswer: r**(-7\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 2*j = -4184. Suppose j = 12*b - 1229. What is the remainder when b is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + 49.174512.\nAnswer: 25.174512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence avbh when four letters picked without replacement from vbhhavvvvvza.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**5)\/r**(3\/2))\/(r**(-1\/2)*r**(-2\/13)) assuming r is positive.\nAnswer: r**(67\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, p: 4, a: 4, e: 2}. What is prob of picking 1 e, 1 p, and 1 a?\nAnswer: 32\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ha when two letters picked without replacement from jasttjttakshhs.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**0)**(-28\/3)*(g\/(g\/(g\/g**3)))**24)**(-1\/13))**(-26\/3) assuming g is positive.\nAnswer: g**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1022\/(-584)*((-1224)\/63)\/1?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8\/14 - -748*(-4)\/5432\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59596452.\nAnswer: 2, 3, 41, 43, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - ((-1)\/(-3) + (-74)\/6). Find the third derivative of -121*l**3 - l + 0*l - 163*l**2 - k*l + 9*l wrt l.\nAnswer: -726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 545 is divided by 134.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*x**4 - 315*x**3 + 21199 - 10604 - 10596 + 2*x + 2*x**2 to m*x**2 + u + v*x**4 + s*x + p*x**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vovvckvck. What is prob of sequence vokv?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -3*k + 23, 0 + 18 = -2*k - 4*g. Let y be (3 - 2) + -3 - k. Let v(p) = -12*p**2 - 9*p + 2. Let z be v(-1). Put 0, z, y, -4 in descending order.\nAnswer: 0, z, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2079405?\nAnswer: 3, 5, 73, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0 (c) 12\/13 (d) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 + -77?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.6 - -8.2. Sort -5, x, -4 in decreasing order.\nAnswer: x, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 4:25 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1132)\/(-2264))\/((102\/(-4) + 2)\/(-21 - -19))?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -336091 (base 12) to base 15\nAnswer: -112ac1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**3 + 15*o**2 - 10*o - 1. Let a be g(-5). Let y be a\/(-464) + (6\/4 - 1). Let d = 0.1 + -0.2. What is the nearest to 0 in 1, y, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8181 - 8170. What is the second biggest value in s, -1, -19, -2\/7, -1\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1376 and 3588896.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 533.5369kg?\nAnswer: 533536.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4)\/(q*q*(q**(-2)*q)\/q*q))\/((q*q*q**(-3\/2)*q)\/(q\/(q*q**0))) assuming q is positive.\nAnswer: q**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y - 1 + 3 - 1. Let c(r) = 7*r + 5. Let v(n) = n + 1. Let t be v(0). Let b = 329 - 334. Calculate b*l(o) + t*c(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189887 - 17*d**3 - 189887.\nAnswer: -17*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 116 + -115.35. Let u = -0.85 + v. Which is the third smallest value? (a) 3 (b) 4 (c) -0.09 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g**2 - 52*g**3 + 3*g**3 - 16*g**2 + 8*g**3.\nAnswer: -41*g**3 - 11*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 0.1, -69?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.645661 - -6.\nAnswer: 15.645661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -24698505.6 rounded to the nearest 1000000?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2*j**2 - 25866*j = 0.\nAnswer: -12933, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29626, 29626, 29624, 29620?\nAnswer: 29614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + v + 1 + v - 4*v - 1 + 1 + (1 - 2 - 1)*(0*v + 0*v - v) - 3*v + 2*v + 2*v to q + r*v and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(1\/3)*f**(5\/2))\/(f**6\/f**(-3)))\/((f**0)**(-44)*(f**(-2\/5))**(-1\/73)) assuming f is positive.\nAnswer: f**(-12787\/2190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 17*p + 1324. Let q be b(-78). Put -9, 4, -1, q, 3 in increasing order.\nAnswer: -9, q, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29164 times -0.5?\nAnswer: -14582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, i: 7}. What is prob of picking 1 h and 3 i?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + (sqrt(320) - 1*-1*sqrt(320)) + (sqrt(320) - (sqrt(320) + 2 + sqrt(320))) + -1)**2 - (sqrt(55)\/(4*sqrt(11) + sqrt(11)) - -4*sqrt(5)*3).\nAnswer: -541*sqrt(5)\/5 + 1289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 15) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3739 + -1369. Suppose 2*v = -v + i. Suppose -p + 985 = -c, 5720 = 5*p - 4*c + v. Round p to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)*-3 + sqrt(104))*-2 - 6*(sqrt(104) + (sqrt(104) - 1*sqrt(104)) - sqrt(104)))\/((-3*sqrt(768))\/(-1*sqrt(864) + sqrt(864) + sqrt(864))).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001392555 rounded to six dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 264 and 759.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence el when two letters picked without replacement from {e: 4, l: 10}?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23853203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(153) + -3*sqrt(153) - sqrt(153)) + (sqrt(2057) + -3)**2 - (sqrt(68) + -4 + 0 + sqrt(68) + sqrt(68) - (1*sqrt(68) + -2)**2)).\nAnswer: -89*sqrt(17) + 2142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 5:05 PM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -77311, -154626, -231849, -308932, -385827, -462486, -538861, -614904?\n\"Answer: 8*i**3 - 2*i**2 - 77365*i + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 5*(sqrt(891)*2 + sqrt(891) - sqrt(891)) + -2)*5.\nAnswer: 5 + 450*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-4*(-10)\/8)\/(14\/(-70)) + 1\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.366762 and 13.\nAnswer: 13.366762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/15*(-5)\/2.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20053134 + 3?\nAnswer: -20053131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -223 + 226. Let w = 50 - 29. Suppose 4*q - z*q = w. List the prime factors of q.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 33707 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 + -564.33431321\nAnswer: -564.38431321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 8\/25 of a kilogram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -30*n + 16*n + 16*n. Let p(y) = 3*y**2 - 4*y**2 + 3*y**2. Give p(s(a)).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 69360*-200\nAnswer: -13872000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 37\/2 of a centimeter?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 555 a factor of 71499540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**2 - 2*v. Let p(f) = f**3 - 3*f**2 - 8*f + 3. Let w be p(5). Suppose g + w = 2*g. Suppose -g = -0*i + 5*i - 3*z, 3*z = -i + 1. Calculate s(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.7178 - -0.2822. What is the nearest to 0 in x, 3, 0.5, -4\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -101, -0.07, -1\/9, -38.7 in descending order.\nAnswer: -0.07, -1\/9, -38.7, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-3 + 6 + 2 - 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a millennium?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -54 + -35?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2184 divided by 7.\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 29710 rounded to the nearest 1000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z**3 + 127*z**2 - 421*z - 14404. Calculate t(-43).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 2 = -4*z - t, 0 = -4*z - 4*t + 8. Suppose z*y - 83 = 157. Calculate the greatest common factor of y and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/8, 0.3, -1\/4, -3.9, -13?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 46?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(17) - (sqrt(17) - sqrt(425))) + sqrt(17))*6)**2*-2.\nAnswer: -44064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.4 - -7.4. Let c = 6.3 + -1.3. What is the closest to s in -3\/5, -0.2, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**2 + 0*a + 0*a + (1 + a - 1)*(71 - 67*a - 71) + (-1 + 3*a + 1)*(1 - a - 1 + (1 - 4 + 5)*(-2*a + 1 - 1) - 1 + 1 + a).\nAnswer: -76*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3, 2\/1059, -4\/5?\nAnswer: 2\/1059","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -144.1167053 to the nearest integer.\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(45) - sqrt(5)) + -2)**2 + -1 + (sqrt(35) - (sqrt(140)*-3 + sqrt(35) - sqrt(35)))\/(sqrt(70)\/(sqrt(20)\/sqrt(2))).\nAnswer: 31*sqrt(5) + 183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*q**2 + 0*q**2 - q**2 + (3*q**2 + 0*q**2 - 5*q**2)*(0 + 0 + 4) - q**2 + 1 - 1 - 2*q**2 + 4*q**2 + 0*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/35 (b) -186 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 5*o - 40, -3*o + 6 = o - 2*w. Suppose a = -o*a + 20. Solve -2*t + y - 6 = 0, y = -3*t - a*y - 35 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 7 + 4 + 10*g - 18.\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/10 + (-3)\/(-15). Suppose 4*q - 12 = -c. Calculate the least common multiple of q and 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/11628 and 71\/204.\nAnswer: 11628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3765193 millennia in years?\nAnswer: 376.5193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36832120 is divided by 492?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**3 - 218*r**2 - 294*r + 32033. Calculate x(109).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*c + 8684 = -162*c - 223*c for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 12561 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5952 and 7224?\nAnswer: 1791552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1368209406?\nAnswer: 2, 3, 317, 719353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*j - 46 = 0. List the prime factors of j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -8 - (1 - 4 - -2). Let x = -30 - -22. Let j = x - n. Is j less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -0*l - l, 3*l = -5*j + 21. Is 17 a factor of (-196)\/(-4) - j\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xny when three letters picked without replacement from {x: 1, n: 2, g: 2, q: 1, y: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40 + 40. Solve -n - 4*n = y for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*a**4 + 0*a + 0 + 3\/4*a**3 + 0*a**2.\nAnswer: 3*a**3*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 4) in base 9?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i**2 + 58*i + 19. Let t be y(-19). Solve t = 2*n - 5*f - 25, 0 = n + 3*f - 5 + 20 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10 or -97?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t + 0*t - 5*t)*(20*t**3 + 21*t**3 - 38*t**3 - 21).\nAnswer: -6*t**4 + 42*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3692.92 + 3693. What is the second smallest value in 3, 0.3, l, 1\/4, -0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 279299, 558600, 837905, 1117214, 1396527?\n\"Answer: 2*z**2 + 279295*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.199 to one decimal place.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5667?\nAnswer: 3, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15875 + 25536. Which is bigger: 9662 or c?\nAnswer: 9662","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -224 (base 14) to base 3.\nAnswer: -120201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -20\/7, -1, -0.01, -58798?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14070*p**3 - 1021*p + 7 wrt p.\nAnswer: 84420*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*o = 8*o + 4462199 + 2295086. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 452299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 8.99 times -0.58915\nAnswer: -5.2964585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7560 - 7560.14. What is the smallest value in 2\/13, r, -7, -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*x + 224 = -124. Suppose -x*m = -8302 - 5162. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37200 by -200.\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2435, -4682, -6929, -9176, -11423, -13670?\n\"Answer: -2247*s - 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 - -64. What is the remainder when k is divided by (0 - 20)\/(30\/((-15)\/1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(1\/14)\/s)*s\/(s*s**10)*s*(s\/(s*s*s\/(s**4*s*s))*s)**29)**(-32) assuming s is positive.\nAnswer: s**(-30896\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 188175 and 37635.\nAnswer: 188175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 4. Determine n(7).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000040713 rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvvvvvvnv. Give prob of picking 1 v and 1 n.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 544623 is divided by 15517.\nAnswer: 1528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 766 - 766.3. Sort 0.07, -20.8, a.\nAnswer: -20.8, a, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 156419113 in increasing order.\nAnswer: -3, 5, 156419113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 61852691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 379, 763, 1157, 1567, 1999, 2459, 2953?\n\"Answer: f**3 - f**2 + 380*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(((((z*z\/z**26)\/z*z)\/z)\/z)\/z*z))\/(z\/(z**(2\/27)*z))*z**15*z**17 assuming z is positive.\nAnswer: z**(1595\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1318, 2627, 3938, 5269, 6638, 8063, 9562?\nAnswer: 11153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5070 and 1192648210.\nAnswer: 1690","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/((-50)\/(-4)) - (-192)\/(-30). Suppose 0 = -i - 2, -k - 4*i = -2*i + 3. Let n = k - p. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8585093 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.1 and -1\/6577 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 2*u)*(-3*u - 8*u + 2*u) + 2 - 224*u + 109*u**2 + 114*u + 111*u as k*u**2 + i + m*u and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (56\/16)\/(-1)*(-6)\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -11*v**3 - 3*v**2. Let b be z(-2). Let p = -46 + b. Is 12 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 243 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**4 + q. Let i(u) = -3*u**4 - 2*u**3 + u**2 + 4*u. Let d be 3\/(-2)*(18 + -6)\/6. Let y(g) = d*i(g) + 6*n(g). Determine x so that y(x) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) -0.3 (c) -1\/349 (d) 1.7 (e) 5\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-24))\/(11\/44). What is the third biggest value in -0.2, -2.1, -0.3, i?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.033 * -0.519\nAnswer: 0.017127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 2*k**2 - k + 1. Let s be n(-2). Suppose 3*o + j - 61 = -j, s*j + 53 = 4*o. Calculate the remainder when 31 is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1064 + 1380*w + 1079 - 2143 in the form s*w + m and give s.\nAnswer: 1380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 3*i - 3. Calculate g(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 17881 - 2 - (-2 + 5 + 1). Suppose 0 = -11*f + 3036 + a. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 5 - 2*p - 3)*(-2 + 2 - 2*p - 2 + 2 - p - p - 2 + 2 + (0 + 1 + 0)*(-2*p + 2*p - 2*p) + 21*p - 51*p + 46*p).\nAnswer: -20*p**2 - 20*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -7. Suppose -3*y = 4*u - o*y - 15, 2*y = -u + 5. Is (17\/u)\/((-2)\/(-6)) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 34?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (80\/(-96))\/(0 - 5) + 350\/(-3108)\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 2:34 PM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 - 67. Let q = -62 - l. What are the prime factors of -2 - ((-1)\/4 + 3381\/q)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o*o\/((o*o\/(o\/o**(-14)))\/o)))**(-1\/6) assuming o is positive.\nAnswer: o**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**3\/7 - 54976*q**2\/7 - 109964*q\/7 - 54984\/7.\nAnswer: 4*(q - 13746)*(q + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -20021102 (base 3) in base 11?\nAnswer: -3489","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of t**4\/6 + 11*t**3\/6 - 3*t**2 - t - 314. Let n(p) = -9*p**2 + p. Let o be n(1). Is s(o) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 3*d - 1. Let u = -9 - -12. Let m be q(u). Let b(o) = -o - 3. Let a be b(-6). What is the closest to a in -1\/8, m, -0.5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 334298771 to the nearest integer?\nAnswer: 694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 107, 221, 385, 605?\nAnswer: 887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + m + 1)*(0 + 0 + 1) + 3*m - 5*m - 13*m)*(2*m + 0*m - 3*m)*(-m + 5*m - 2*m).\nAnswer: 28*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4861794, 9723596, 14585404, 19447218?\n\"Answer: 3*g**2 + 4861793*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*b - g + 7 = 0, -3*b - 4*g + 25 = 0. Let f be (1 + -1)*b\/6. Let w(z) = -z**3 - z**2 + 53. Is w(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-1))**26)**48)**(-31) assuming w is positive.\nAnswer: w**38688","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -31*(-26)\/2015*(-10)\/122\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0178700514 to six dps.\nAnswer: -0.01787","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -12225 and 1.\nAnswer: -12224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -8*j**3 - 118*j**2 - 433*j. Give y(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/105600 and -69\/21440?\nAnswer: 7075200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/(-3920))\/(4\/(14\/3*3)).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2106 + -0.0894. Put -0.21, 0.2, a, 1 in decreasing order.\nAnswer: 1, 0.2, -0.21, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2 + -11.8. Let r = 12 + c. What is the closest to r in 1\/2, 9, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12265920 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: Simplify (sqrt(304)*-5)**2 - (4 + sqrt(19)*-2).\nAnswer: 2*sqrt(19) + 7596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13230 + -10004?\nAnswer: -23234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 divided by -2?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 5*j + 6. Let x(i) = -11*i - 11. Suppose 1 = -g - 5*a - 3, 3*g = -3*a + 12. Let v(k) = g*x(k) + 11*l(k). Let q(t) = 2*t. Determine q(v(r)).\nAnswer: -22*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5454.907 - -5498. Let d = -1.19 + 0.983. Let f = d - s. Round f to 0 dps.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of 3*m - 1\/3*m**3 + 5 - m**2. Determine h, given that a(h) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-23)\/(1104\/(-324)))\/((33\/(-20))\/11).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -v + 15. What is the highest common factor of v and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 13 = -5*d + 4, 0 = 5*m - d - 18 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 315966066?\nAnswer: 2, 3, 13, 4050847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five eighths of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b + b - 2 + 46*b**2 + b to the form g + o*b**2 + w*b and give o.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 5*s**2 - 8*s - 6. Let t = 13 - 8. Let d be (-1)\/(((-5)\/(-6))\/t). Give w(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 13*j**2 + 12*j + 39. Calculate the remainder when 20 is divided by p(14).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8056*r = -8376*r + 3200 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-14)\/m)\/m**10 assuming m is positive.\nAnswer: m**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o**2 - 23*o + 10. Let c(m) = m**2 - 11*m + 5. Let i(u) = 5*c(u) - 2*p(u). What is the remainder when 37 is divided by i(-7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 2 + 3)*(3 - 1 + 2*j - 5) + j + 0*j + 0*j + (-2*j + j + 3*j)*(0 - 2 + 0) - 5 + 5 - j to the form h*j + y and give y.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 34*h**2 - 2*h + 31. Let x(u) = -35*u**2 + 3*u - 30. Let s(n) = -3*p(n) - 2*x(n). Find the first derivative of s(b) wrt b.\nAnswer: -64*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6272, 1, 75 in descending order.\nAnswer: 6272, 75, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*p + 1928*p + 0 + 584*p + 0 to the form t*p + o and give t.\nAnswer: 2504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5*u = 13, -2*c - 5*u + 6*u + 43 = 0. What is the derivative of i**3 + c*i - 34*i - 53 - 37*i wrt i?\nAnswer: 3*i**2 - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 9*k**3 - 10*k**2 - 170*k + 1406. What is the lowest common multiple of 54 and f(8)?\nAnswer: 12042","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-8) + (-6)\/48*-26. Suppose 2*f + 122 = -4*r - 3*f, -h*r - 5*f = 94. Calculate the remainder when (380\/r + -1)*(-1 - 6) is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 63 or 62?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 43591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i**4\/i*i)))**42\/((i**(-1\/11)\/i)\/(i\/(i\/(i\/((i**6*i*i)\/i))))) assuming i is positive.\nAnswer: i**(1794\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 11111 (b) 8\/9 (c) 8 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5\/(-2))\/(-5))\/((-2)\/(-12)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (sqrt(9)\/sqrt(3)*5 - sqrt(3)) + sqrt(3) - (sqrt(9)\/sqrt(3) + 2))**2 + -1.\nAnswer: -20*sqrt(3) + 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64957 is divided by 1015.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9738 and 189891.\nAnswer: 379782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 416 - 233. Suppose -3*r + 0*r - h = -g, 3*h = 5*r - 291. What is the remainder when r is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6691606 is divided by 418224?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d - 4 + 4)*(1 + 3 - 2)*(-5 - 1 + 4)*(15811*d - 8520*d - 31439*d - 28652*d) in the form g*d**2 + x + y*d and give g.\nAnswer: -211200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -11. Suppose -r - 9 = -3*k. Suppose -2 = -j + 4*w + 5, 0 = -2*j - k*w + 66. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32*i**2 + 87*i**2 + 2*i + 11472 - 11475 wrt i.\nAnswer: 238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6860544 rounded to the nearest one hundred thousand?\nAnswer: 6900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -17 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 9:28 PM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a millimeter in micrometers?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/13? (a) -6 (b) 0.1 (c) -0.7 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 16*j. Let g(t) = -8*t**2 - 17. Let n(p) = 3*p**2 + 6. Let h(q) = -6*g(q) - 17*n(q). Calculate d(h(l)).\nAnswer: -48*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*sqrt(104)*-6)\/(sqrt(200) - (sqrt(200) - (sqrt(200)*-1*-2 - sqrt(200)))).\nAnswer: -12*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6 + (-22)\/(-8) + 1\/4. Let k(s) = -s**3 - 3*s**2 - s - 3. What is k(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/19380)\/(8\/(-12)). Let r = -98513\/12920 - u. Find the common denominator of -67\/14 and r.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -1, -f - 3*f + 3*t - 9 = 0. Let s(a) = 2*a - 4. Determine s(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/10)\/((16\/(-10))\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -6*w**2 + 7*w - 17*w + 2*w - 2 - w**3. Let l be k(-5). Suppose f - 35 + 10 = -2*y, 5*f = -2*y + l. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 6 - 167*q**2 - q + 169*q**2 + q**4 to c + t*q**2 + m*q**4 + i*q**3 + y*q and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10585, 10442, 10299, 10156, 10013?\n\"Answer: -143*t + 10728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -r**4\/12 + r**2\/2 - 2705*r. Let m(s) = -s**2 + 10*s + 2. Calculate 3*l(u) - m(u).\nAnswer: -2*u**2 - 10*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4835156.06 less than 38.45?\nAnswer: -4835117.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2*((sqrt(275) + 0)*1 - (sqrt(275) - (sqrt(275) + -2*(sqrt(275) + (sqrt(275) + 1 - sqrt(275)) - sqrt(275)))))*-3)**2.\nAnswer: -720*sqrt(11) + 10043","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 3, -3, 40, 14 in decreasing order.\nAnswer: 40, 14, 5, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72)*3*6 + -1.\nAnswer: -1 + 108*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.47 - 0.77. Which is the nearest to 4? (a) 0.5 (b) h (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 6 = 0, 2*p = s + 2*s - 7. Calculate the least common multiple of 11 and (p\/2)\/((-11)\/(-66)).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 413338834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -n + 43. What is the highest common factor of n and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 418432 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 0*x - 24. Let o = -4 + x. Suppose 5*g - 2*b - 40 = 3*b, -4*g - o*b = -14. Solve -4 - g = 3*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -0.4 (c) 0.058 (d) -0.1 (e) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.344 - 1.983. Round z to one dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 3*q - 5*q)*(-4 + 3 - 1) + 2*q - 7*q + q.\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/6763 and 67\/8?\nAnswer: 54104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 372 * -4.\nAnswer: -1488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22952 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12898042 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -46 - 0?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h + 2142 - 1184 - 1453.\nAnswer: 4*h - 495","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8857 - -13286. What is the greatest common factor of 86 and h?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*h + 31*h + 312 = 0. Sort -1, h, 4.\nAnswer: -1, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 37, 5, 2, 0, 30.\nAnswer: -3, 0, 2, 5, 30, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(3\/11)*i)\/i**19 assuming i is positive.\nAnswer: i**(-184\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2452*s**2 - 980*s**2 - 993*s**2 - 481*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**2 + i - 1. Let d(a) be the second derivative of -a**4\/6 + a**2\/2 + 65*a. Give -3*d(w) - 4*j(w).\nAnswer: -2*w**2 - 4*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (944\/1180)\/(2\/(-100))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -14913, -14912, -14911, -14910, -14909, -14908?\n\"Answer: j - 14914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1068565 + 25?\nAnswer: -1068540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -19 + -19 + 50 + -25\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-34)\/119)\/(4\/(-56)). Suppose -l*p = z - 9 - 38, -z - 41 = -4*p. Solve -5*t = 2*w + p, -4*t - 6 = -2*t for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 488395 or 488390?\nAnswer: 488395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/((0 - -3)\/(-3)). Let s be (-34)\/(-8) - z\/(-8). Suppose -s*q = -2*d - 2, 1 = -d - q + 6. Solve -d*o = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3319766832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 220369053*-3\nAnswer: -661107159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 + 22.8. Which is the closest to -3? (a) j (b) 0.2 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 13, 1, 1\/29?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20757 + -19032. Calculate the greatest common divisor of h and 225.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 45*a**4 - 380*a**3 - 495*a**2 + 770*a + 40. Let b(t) = 20*t**4 - 169*t**3 - 220*t**2 + 342*t + 18. Let c(d) = 20*b(d) - 9*h(d). Solve c(v) = 0.\nAnswer: -2, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.16 - -2.84. Let t = 0.11304 - 0.11304. Which is the nearest to 2? (a) -5 (b) 2 (c) t (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 49 (b) -0.2 (c) -4 (d) -0.1 (e) 13985\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*51\/(-45))\/(27\/945*-7)*6.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 699 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2106*y + 1682*y - 3029*y)*(0 + 3 + 2).\nAnswer: -17265*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -833?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -744 rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -31, -71, -127, -199, -287?\nAnswer: -391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 21 = -7. Let w be 92\/(-14) + f\/7. Let x(a) = 4*a**3 - 6*a**2 - 6*a + 4. Let b(z) = -z**3 + z**2 + z - 1. What is w*b(t) - x(t)?\nAnswer: 2*t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51126680 and 5280?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/9 - 5\/(-15). Suppose -m + x = -1. Let w(u) = u**2 - u. Let k be w(3). Solve -q + k = 3*g - 4*g, 0 = 3*g + q + m for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 6*n + 2*n = -68, 8 = -2*n. What is the remainder when r is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 7 (c) 332736\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 97702 to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -13*h + 9 - 3*h**2 + h**2 + 0*h. Suppose 22 = -4*d + 6*d. Let u be 48\/10*(-35)\/(-28). Let q(l) = l**2 + 7*l - 5. What is d*q(t) + u*r(t)?\nAnswer: -t**2 - t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 61333\/6 - 10197. Let o = -12\/233 + -11182\/9087. Calculate the common denominator of c and o.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -667*x + 658*x = 18 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -205.5938662 to 2 decimal places.\nAnswer: -205.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 85016767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44 + -41. What is the second derivative of 12*n - 11*n**i - 7*n**3 - 32*n wrt n?\nAnswer: -108*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 2*p**2 + p + 4. Let c be q(4). Suppose -4*o + c = -44. Is o a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 39 = 317*f - 319*f, -95 = -5*f + 2*g for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9 (b) -2 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-3 - -7) - 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -200001100 (base 3) to base 13\nAnswer: -5cb2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 201645*b**3*l + 131*b**3*p**2 + 609*b**2 - 119*b*l*p**2 - 6*b*l wrt b.\nAnswer: 1209870*l + 786*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42464647\/1092 - 155549\/4. Find the common denominator of 83\/312 and k.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 401*u + 247*u - 287 = 1657. Let -3\/8*j**5 + 9\/8*j - 3\/4*j**u - 15\/8*j**4 + 21\/4*j**2 - 27\/8 = 0. What is j?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**3\/3 - 8*z**2 - 23*z\/3 = 0.\nAnswer: -23, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -8. Let l be (1 - o) + -1 + -1. Suppose l*f - 24 = -d, 0*d = 3*d - 2*f - 61. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-167563 + 167563 + 1113*j)*(4 + j - 2 + 3).\nAnswer: 1113*j**2 + 5565*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -29*g**2. Let n = 2044 + -2042. Let y(d) be the third derivative of 0*d + 1\/12*d**4 + 0 - 9*d**n + 0*d**3. Determine y(w(s)).\nAnswer: -58*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22665131305 - 2?\nAnswer: -22665131310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/((-9)\/(-42)*-1). Let o = -56 - y. Suppose 0*v + 3*v - 75 = 0. Solve 12 = 2*r - w + 5*w, o = -5*r + w - v for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -s**9\/1512 - s**6\/360 + s**3\/6 + s**2. Let n(g) be the first derivative of b(g). Find the third derivative of n(o) wrt o.\nAnswer: -120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (6 + -6) - (53 + -3 - (16 - 6)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3693*x**2 + 126*x + 2. Let h(m) = 61403510*m**2 - 2095065*m - 33255. What is 2*h(u) + 33255*j(u)?\nAnswer: -3695*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26074, -38103, -50132?\nAnswer: -62161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*c = -151*c + i - 3, 0 = -3*c + 3*i - 9 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -8*p + 13*p. Suppose 2670 = p*q - 2*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/21)*g*(g*g\/(g**32\/g))\/g assuming g is positive.\nAnswer: g**(-608\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -53759693 * 0.5\nAnswer: -26879846.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p + 5*p + 88 = 0. Calculate the greatest common divisor of 99 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35437301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of -5*p**6\/24 + 17*p**4\/24 + 5*p**2. Find the second derivative of d(s) wrt s.\nAnswer: -150*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = r - 19. Let x be 15*3*(-48)\/r. Is x equal to 59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20132 (base 6) to base 12\nAnswer: 1648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 155 = -4*w. Suppose -4*m + 7 = w. Round m to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-159)\/(-5) - (-20)\/(-25).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 18*b**6 - 8*b**5 + 4*b**2 + 8*b. Let t(i) = i**6 - i**5 + i. Let l(g) = -j(g) + 8*t(g). Find the third derivative of l(n) wrt n.\nAnswer: -1200*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/2)\/(3 + 5). Let i = m + 23\/16. Is 0 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 3. Let f(y) = -2*y**2 + 7. Let i(w) = -6*f(w) + 14*t(w). Let n(p) be the third derivative of p**4\/24 + 4*p**2. Calculate i(n(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -948?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 427 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of 7*q**5\/30 - q**4\/3 + 2*q**3\/3 + 1756*q**2. Let o(l) = 5*l**2 - 3*l + 1. Calculate -11*o(s) + 4*x(s).\nAnswer: s**2 + s + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 591686662 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4652 + 4358 = 21*w for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -254 - -1773\/7. Let z = -8\/21 - v. What is the third biggest value in -0.4, 4\/7, z?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22136042 is divided by 11248.\nAnswer: 11226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/11*p**5 - 1466\/11*p - 438\/11 - 1772\/11*p**2 - 900\/11*p**3 - 158\/11*p**4 = 0. Calculate p.\nAnswer: -73, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 - -24. Let t = j + -1. Sort 10, t, -4 in decreasing order.\nAnswer: 10, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4 = 2*y - 35, -3*y + 3*k = -57. What is the greatest common factor of y and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thn. Give prob of sequence tn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**3 + 2*t**2 - 10*t**2 - 5*t**2 - t + 6*t**2 + 3 to the form u*t**3 + m*t**2 + b*t + x and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppggplpmppppgmgppmm. What is prob of picking 3 p and 1 m?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8.8 + -72.2. Let v = b + 81.000102. Round v to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4*j**3 + j**2 - 2*j - 3. Let b(g) = -g**3 + 1. Determine 3*b(y) + n(y).\nAnswer: y**3 + y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 95364488.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/9 (b) 6 (c) 1.489 (d) 325\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w - 4*o - 18, 2*w + 2*o + 166 = 154 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1220000600 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/(3*sqrt(1452)).\nAnswer: sqrt(5)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, p: 6, i: 5}. What is prob of sequence pix?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 198 + 58 = 0. Let l be -4*((-35)\/q)\/((-2)\/(-18)). Let j = 130 + l. Does 21 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of a**6\/5 + a**5\/60 + a**4 + 135*a**2. Find the second derivative of m(j) wrt j.\nAnswer: 144*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 290476 + 0.\nAnswer: 290476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -604.46 - -206.46. Which is the closest to -0.03? (a) 0.1 (b) k (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 225 and 2889300.\nAnswer: 8667900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 157366211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 i when three letters picked without replacement from {t: 2, k: 2, i: 1, w: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/1*6*(2 - (-64)\/(-48))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -84 and -908\/11 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 + -42. Factor 2*b**4 - 173*b**3 + 500*b + 300*b**v + 2*b**4 + 233*b**3.\nAnswer: 4*b*(b + 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1609089273?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -310462 + 3223?\nAnswer: -304236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 10 = 0, -8 - 4 = -4*y + 2*n for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 - 14. Let f(j) = 2*j**2 - 5*j - 7. What is the remainder when f(5) is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 186 - 31 - 28 + y - 19 in the form d*y + n and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -165, -234, -303?\nAnswer: -372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*d = -2*y - 26*d - 11, y + 3*d + 11 = 0. Put 3, 0, y, 13 in increasing order.\nAnswer: y, 0, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of 8\/3*s**3 + 12*s**2 + 0*s + 0*s**6 + 0*s**5 + 0 + 0*s**4 + 4\/105*s**7. Differentiate c(x) with respect to x.\nAnswer: 32*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*u = -536, 4*z - 444 = 4*u - 1152. Let x(f) = 17*f - 10. Let m be x(-7). Let g = m - z. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(-364*i + 3*i**2 + 4 + 308*i + 0*i**2).\nAnswer: 3*i**2 - 56*i + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -294777\/1180 or -251?\nAnswer: -251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 6*b**2 + 3. Let v be u(-6). Suppose -v*x + 5*q + 50 + 5 = 0, -102 = -5*x - 2*q. Calculate the smallest common multiple of 10 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -981.937*2.8\nAnswer: -2749.4236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - -2)*75\/225. Which is the nearest to -0.1? (a) -2\/3 (b) 4 (c) m (d) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1203464 rounded to 2 dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g**3 - 153*g - 79*g - 80*g + 36*g - 2 - 46*g.\nAnswer: 4*g**3 - 322*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*o + 1416 = 20*o - 18*o for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -3*k - 7, 0 = -42*k + 37*k + 4*d for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {i: 1, q: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/508 and 83\/254?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cxtg when four letters picked without replacement from txxgc?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.174 * 0.1\nAnswer: 0.0174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.85 times 1?\nAnswer: 0.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) 2\/15 (b) 1\/4 (c) 1\/18 (d) -78 (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/3))**16 assuming v is positive.\nAnswer: v**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/19 - -103\/76. Suppose 4*n + 5 + 1 = -2*f, -15 = n + 5*f. What is the common denominator of n + -1 + 27\/12 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**2\/7 - 29884*v\/7 + 13068531 = 0 for v.\nAnswer: -32683, 2799","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 157946577 to the nearest integer?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + z**2 - 2. Let d be r(-3). Let t = d + -33. Is t > -3\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/(-4) - (21 - 10)\/(-22). Solve i*n - m - 14 = 0, -3*m = -3*n - 0*m + 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j - 65 = -497. What is the highest common factor of 4 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g + 10. Let s be n(4). Let h = 155 + -1393\/9. Which is the second smallest value? (a) -2 (b) h (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2 + 4*p. Let l be v(-3). Solve l*x - 3*x = -12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*b + 2*g, b - 3*b = -2*g + 2. Suppose 60 = -b*m + 192. Suppose 0*w = 4*x - 4*w - 120, -2*x = 4*w - m. Is 14 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -17*h - 5. Let g(a) = 273*a + 81. Give -2*g(u) - 33*p(u).\nAnswer: 15*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 20\/537 (b) 3 (c) 2\/7 (d) 0.37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 879089 and -0.21.\nAnswer: -184608.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 745*d - 181. Calculate n(1).\nAnswer: 564","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 2*v - 6182 = -18419, -3*a + 7339 = 2*v. List the prime factors of a.\nAnswer: 31, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2775701648?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.95 - 2.8. What is the fourth smallest value in -5, m, 2, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-3) - ((-132689879)\/295 + (-4)\/30) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13.4 + 13. What is the nearest to -3 in -4\/3, -5, b?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 18*f + 187. Calculate i(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2803 is divided by 935?\nAnswer: 933","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 972, -2, 3.\nAnswer: -4, -2, 3, 972","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/22 (b) 5 (c) -7\/4 (d) -6.3 (e) -3 (f) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 12 and 15 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 20*j - 159. What is the remainder when 94 is divided by c(9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 < -349?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 252 and 140.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 224045 (base 10) to base 16\nAnswer: 36b2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qsbqsssqqs. What is prob of sequence qs?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9337786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1063984*w - 4255934*w + 1063991*w + 1063991*w + 1063967*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7138320 or -7138340?\nAnswer: -7138340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.8 - -3. Let g = 0.9 + l. What is the second biggest value in -1, g, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 15*g**3 - 25*g**2 + 49*g + 24. Let u(m) = -41*m**3 + 75*m**2 - 148*m - 75. Let p(k) = 11*r(k) + 4*u(k). What is p(-27)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.01, 11, 4045\/178 in decreasing order.\nAnswer: 4045\/178, 11, -0.01, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 - 7*u - 6. Calculate k(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -11 and -630\/61 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kklll. What is prob of picking 1 k and 3 l?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 + -2.1. Let z be -2 - ((-21)\/12)\/(10\/805). Let t = z - 139. Which is the third smallest value? (a) r (b) 0 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {d: 12, u: 1, p: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k**3 + 4*k**3 + k**3 - 7*k**3.\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 4, 4*y = -2*c + 2*y - 1324. What is the tens digit of ((-3)\/12)\/(2\/c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 times -130.2\nAnswer: 1432.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(108))**2 - sqrt(3)) + (sqrt(108) - -4*sqrt(108) - sqrt(108)).\nAnswer: -432 + 28*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(242) + 0 + (sqrt(42)\/sqrt(3))\/sqrt(7).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**3\/3 + 305*k**2 - 14400*k + 40500.\nAnswer: -5*(k - 90)**2*(k - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -a - a + 100*a**2 + a - 158*a**2 in the form p*a**2 + f + j*a and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*0.595511.\nAnswer: 4.168577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 5*d**2 + 3*d - 2. Let f be 4\/6*(0 - 6). Let y be x(f). Let v(r) = -r**2 - 6*r - 4. Let s be v(-5). Sort 3, s, y in decreasing order.\nAnswer: 3, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1373 - 93*d**2 + 286*d**2 + 2*d**3 + 2745 - 1372.\nAnswer: 2*d**3 + 193*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -23.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13431410332 - -1?\nAnswer: 13431410333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 12) to base 6\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 0\/(-2 + 0). Suppose -5*a = 5*m, -3*m = 2*a - 2 - 0. Let x = l - m. Sort 1, 4, x.\nAnswer: x, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43010 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 58 in 1\/3, 27, 3, 193\/3, 0.1, 1\/2?\nAnswer: 193\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5790*b - 1687*b - 7647*b.\nAnswer: -15124*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.915 - 1.015. Do i and 424 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.234 to the nearest integer.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ygw when three letters picked without replacement from {y: 4, w: 2, g: 7}.\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, k: 1, y: 12}. Give prob of sequence vv.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 1706346596?\nAnswer: 1706346596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 233, 3, 203 in ascending order.\nAnswer: 3, 203, 233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.7 + -0.748. Let v = 0.014 - o. Round v to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 10*x = 21, -3*y - 30 = -16*x + 19*x for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*y - z, 50 = 2*y + 3*y - 5*z. What is the remainder when 10 is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one twentieth of a millisecond?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*s + 9. Let k be (-4)\/(-14) + (-50)\/(-70). Let n = -4 - -7. Put n, k, s in ascending order.\nAnswer: k, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 16341.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(1053) + sqrt(1053) - (-6*(sqrt(13) - (sqrt(13) + -1)))**2 - 1*-2*(sqrt(13) - (sqrt(13)*-2)**2).\nAnswer: -140 + 29*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -221*a + 217*a - 62*a - 258*a + 1 to the form f + r*a and give r.\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6225?\nAnswer: 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 201056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5498 + 5500. Let m = -3 - -7. Solve -2*g - m = i*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k + 46. Let d = -114 - -123. What is the remainder when q(0) is divided by (-38)\/(-3) - 8*d\/108?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -14*r + 11*r + 534, 0 = 4*x + 3*r + 726. Does 8 divide -2 + 1 + x\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -886 and -7758?\nAnswer: 6872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 4*i - 11, r + 18 = -5*i + 3. Let b be 14\/(-63) + 173\/9. Let j = -6 + b. What is the remainder when j is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 3:49 PM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(189)\/sqrt(7) - (sqrt(12)\/sqrt(4) + -4).\nAnswer: 2*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15 - 37) + (-1 - -3). Let t = x + 84. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -3\/4, 0.14, 0.4, -47788?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 671.6083 decades?\nAnswer: 67.16083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 5*m + 29 = 3*j, 0 = 5*j + 3*m - 71. Let a(n) = -n**2 + 15*n + 44. Let z be a(j). Calculate the greatest common divisor of z and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - g**2 + 1 + 8*g - 3*g**2 - 10*g - 255*g**3. Is 18 a factor of t(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + 1. Suppose c*a = 37 + 3. What is the units digit of (-3)\/3 + a + -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285383891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -10950, 130, -5, 5.\nAnswer: -10950, -5, 2, 5, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.68 - 17.82. Round u to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 17*h**3 + 17*h**2 + 32*h + 12. Give v(-7).\nAnswer: -5210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -t**2 - 35. Let q(n) = -2*n**2 + 2*n. Calculate q(p(l)).\nAnswer: -8*l**2 - 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a week in hours?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -36, -89, -136, -183, -236?\n\"Answer: -g**3 + 9*g**2 - 73*g + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 - 2780*p + 24696.\nAnswer: 4*(p - 686)*(p - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(833) + ((2 + sqrt(833) - sqrt(833))*-1 - sqrt(833))**2).\nAnswer: -837 - 35*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 9*z**3 + 154*z**2 - 47*z - 1077. What is n(-17)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 327 or 326?\nAnswer: 327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 + 33. Let i(g) = 0 - 1 + 2*g + 2. Let k be i(1). Solve c = x*c + k for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeqqqqe. Give prob of picking 2 q.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 487647136 to the nearest integer?\nAnswer: 787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 15638704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 221*m - 1876 + 8948 for m.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yymyuyzg. Give prob of picking 1 m and 1 u.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.405, -978, -13 in increasing order.\nAnswer: -978, -13, -0.405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - q - 12 = 0. Let h(p) = p**3 - 11*p**2 - 13*p + 18. Suppose 4 = -f + 4*j + 1, 2*f - 5*j = 0. Calculate the remainder when h(q) is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 - 3 = -2*q. Let f = 29 - q. Does 2 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*d**2 - 414 + 414 - 3*d in the form z*d + v + f*d**2 and give f.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*z + 860*z + 66700 = -36*z + 19270 for z.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 562731086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 9*y**3 + 0.\nAnswer: -9*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -6*j + 4*j. Suppose 12 = j*r, -2*u - 4 + 2 = -2*r. Find the third derivative of -6*n**u + 9*n**6 - 3*n**6 + n**2 wrt n.\nAnswer: 720*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 775011 is divided by 48330.\nAnswer: 1731","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 6 = 6*f. Let m(z) = -z + 1. Let c be m(-8). Suppose f*n = 3*n + c. Is n <= -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2847774437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p + 3. What is the remainder when 4 + -1 + 2 - -12 is divided by g(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a gram in micrograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 13 = -10*b + 8*b, 0 = 2*b + 8. Put r, -2, -1, -5 in increasing order.\nAnswer: -5, -2, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, k: 2, l: 2, g: 2}. Give prob of sequence ll.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i - 1260*a + 1256*a - 14, i - a - 8 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*q**3*w**3 + 102*q**3*w + 3*q**2*w**3 + 2607259*q - 2*w**3 wrt q.\nAnswer: 54*q*w**3 + 612*q*w + 6*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 7*h**2 + 8*h - 8. Let g = -16 - -24. Let y be j(g). Let t(c) = c**3 + 8*c**2 - 12*c - 10. What is the remainder when t(y) is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 4469\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-18) - (-4 + (-356)\/(-84)). Let o = 6\/5873 - -16726\/52857. Let b = o - g. Which is smaller: b or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 549 - 4483*t**3 - 549 + 4491*t**3.\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 0) + (-1 - -5). Let h be l\/(-25) + (-16)\/(-5). Suppose -o = -0*q + 5*q, -o = -2*q. Solve q = -h*z - 4*u + 17, -u - 8 = -3*z - 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5505 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -938, -2108, -3516, -5168, -7070, -9228, -11648?\nAnswer: -14336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56 and 10.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, j: 6}. Give prob of sequence jjsj.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 47 - 43 - (-11 + -1) - 45?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/227 in 4, 2\/5, 0.066?\nAnswer: 0.066","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z + z + 0*z. Let n(l) = -480*l + 22. Let j(q) = -241*q + 12. Let o(y) = -11*j(y) + 6*n(y). Determine o(b(f)).\nAnswer: -458*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1523 + -a4?\nAnswer: -15c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(-5)\/(-20)*-1. Let j = -6 + 4. Let x = -2.1 - j. Which is the smallest value? (a) -0.3 (b) x (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = b - l - 31 - 22, -3*b = 17*l - 127 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2357 = -215*o - 1067. Factor -o + 1\/3*i**3 - 3*i + 2\/3*i**2.\nAnswer: (i - 3)*(i + 2)*(i + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -926282994050*a**3 - 530760150146290*a**2 + 3119618272*a - 4584.\nAnswer: -2*(a + 573)*(680545*a - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/14)\/((-731)\/(-119) - 7)*72\/(-792).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20056308 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 - 25. Suppose 0 = b, -w*c - 3*b = -2*c - 37. Suppose 2*h = 4*z + 54, h + 2 = 4*z + c. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - p**3)*(-14*p + 25*p + 51*p) to o*p**3 + s*p**4 + u*p + f*p**2 + z and give s.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 440 is divided by 88.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 5, -1, 8, -15639 in increasing order.\nAnswer: -15639, -2, -1, 1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*u**2 + 0*u**2 - 8*u**2.\nAnswer: -17*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -8*n - 16. Let c = 13 - 23. Is 21 a factor of y(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millennium in decades?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 7:45 PM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 25086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**2 - 7*b - 26. Let w be r(5). What is the biggest value in w, 0, 4, 0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 4*d. Suppose -w + 5*w - 24 = -a, 0 = -a + 2*w - 6. Let t be k(a). Solve t = -2*h - 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -72, -1 in increasing order.\nAnswer: -72, -1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1469360 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.481719 to 2 dps.\nAnswer: -1.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -328.92 times -6319?\nAnswer: 2078445.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22621 is divided by 7538.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnkknnnxnnnw. Give prob of picking 2 k.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/4 - -508)*1\/(-2). Let q = -65 - h. Let t = q + -91. What is the greatest common divisor of t and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 373, 131, -5 in ascending order.\nAnswer: -5, -3, 1, 131, 373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -441020 - -3072431\/7. Let p = -2106 - t. Let z = 659\/4 - 8399\/52. Calculate the common denominator of z and p.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - j)*(0*j**2 + 51*j**2 + 2*j**2) - 16*j**3 + 245*j - 245*j.\nAnswer: -69*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 5436.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o = 30 + 40 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 10440*y + 135750. Give i(-13).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -92.95034661 + 92.95. Round x to six dps.\nAnswer: -0.000347","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -9. Let p = m - 1. Let u(s) = -4*s + 1. Let o be u(p). Solve o*x + 4*i = -5, -4*x - 5*i + 3 = -7*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49756.85 weeks in minutes?\nAnswer: 501549048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.581 - -44.481. Let m = -2.9 + f. Let i = m + -35.2. Round i to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9660701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 29*a - 59. What is the remainder when 68 is divided by p(26)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 7:16 AM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(297)*2)\/sqrt(9))\/(sqrt(192) - sqrt(192)*2).\nAnswer: -sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = a - 1, 5*a - 2*a - 3 = -3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + -4 - -3 - -3. Let y(g) = -3 + 1 - x*g + 1 + 7*g. Give y(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 8 + (-11)\/(121\/99). What is the closest to 5\/2 in f, 2\/7, 0.2, 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/470 and 11\/280.\nAnswer: 13160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1024 and 4032.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 675 * -4.553\nAnswer: -3073.275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 238 and 5383.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*g**2 + 28692*g + 7172 = 0. What is g?\nAnswer: -1793, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.483 times -50?\nAnswer: -24.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -73 - -193. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2 - (2 + -1 - (-168)\/49) and 19?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 3*r**5\/5 - 1638*r**4\/5 + 298116*r**3\/5 - 18085704*r**2\/5 = 0?\nAnswer: 0, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 10*v**2 - 12*v + 13. Let m be a(11). Is (16\/12 - -2)\/(m\/39) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-34768)\/(-4452)*21\/6)\/((4\/6)\/(-1))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 times 420?\nAnswer: -24780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1199 + 29977\/25. Let y(h) be the first derivative of 36\/5*h**3 + l*h**5 + 19 + 108\/5*h**2 + 162\/5*h + 6\/5*h**4. Factor y(a).\nAnswer: 2*(a + 3)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*b**2*f**3 + 6487*b**2*f + 2*b**2 - 8845 wrt f?\nAnswer: 9*b**2*f**2 + 6487*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(-2 - 6*f - 15*f**2 + 17*f**2 + 7*f).\nAnswer: 4*f**2 + 2*f - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - 0) + -16 + (21 - 9).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**2 - 11*q + 5. Let r(u) = -3*u**2 + 12*u - 6. Let k(g) = -3*r(g) - 4*s(g). What is the remainder when k(-15) is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g + 5*v - 64, -4*g + 353*v + 56 = 357*v for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -217896*p - 1743177. What is c(-8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200 (base 3) in base 5?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 2:15 AM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36 or 0.3?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74492557.\nAnswer: 74492557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 234122189 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 3245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 52951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 36748581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*j**4 + 69*j**3 - 21*j**2 - 141*j - 42 = 0. What is j?\nAnswer: -1, -1\/3, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24344164, 48688321, 73032478, 97376635, 121720792?\nAnswer: 146064949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**4 + 0*x**3 + 0*x**3 + (x**3 + 0*x**3 + x**3)*(3 - 2*x - 3) - 17 + 17 - 7*x**4.\nAnswer: -13*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -345, 2, -88.56?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*n - 61*n - 657930 = 0. What are the prime factors of n?\nAnswer: 3, 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 7:57 AM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*o + 211, -3*x - 109 = -5*x - 5*o. What is the remainder when x is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -2*l - 12, 3*l + 3 = -x + 6*l. Suppose 0 = -0*h - 2*h - x. Let y(g) = -4*g + 2. Let u(m) = -8*m + 4. Let j(t) = -4*u(t) + 9*y(t). What is j(h)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 5617240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.3 + 5. Let j = g + -2.5. Let f = 335 - 337. What is the nearest to j in 2\/3, -0.1, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253*z + 793979 = -859882. What is the hundreds digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 times 9\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 16*j**2 + 8*j - 315. Determine c(-15).\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -1320032?\nAnswer: -1320032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-7)*7\/(-2). Let g be (-10)\/14 + (-6)\/21. Let j = 4 + g. Put m, -3, j in descending order.\nAnswer: j, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03659922095 rounded to 5 dps?\nAnswer: -0.0366","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1281328 is divided by 320324.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 53, -1, 7, 46 in decreasing order.\nAnswer: 53, 46, 7, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 284 - 285. Let y be ((-4)\/(-3) - 4) + j\/3. Let v(f) be the third derivative of -f**4\/3 - f**3\/6 - f**2. Determine v(y).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g - 28 = -8*g. Let t = 31 + g. Calculate the remainder when 11 is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -46*i + 301. Let l be w(5). Put -4, l, -1 in ascending order.\nAnswer: -4, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43 + 46. Suppose y = -4*c + 103. Suppose c - 3 = 11*f. Solve -f*z = -z + 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 6226541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*o + 2761 = 1991 + 2060 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/484 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1119251215?\nAnswer: 5, 6221, 35983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 + (-507)\/(-102))*1. Suppose 2*m + 5*s = 15, -s + 12 = 4*m + 3*s. Which is smaller: m or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1002\/8517 - (134\/(-833))\/(-2) and 17\/1078.\nAnswer: 18326","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12.2 and -23.4.\nAnswer: -35.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 324155 + b - 648298 + 324135. Let q(j) = -j**3 + 5*j**2 + 6*j + 6. Let t be q(6). What is i(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, -11, -29?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/528 and -103\/240.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jhhjhhc. Give prob of sequence cj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14124 and 2772?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 - 607 = 3*t. Let u = t + 381. List the prime factors of u.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2243403 (base 5) in base 4?\nAnswer: -21320132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -528 (base 12) in base 6?\nAnswer: -3252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -12*s + 108. Let h be d(9). Does 11 divide ((-1032)\/(-20) - h)\/(10\/275)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.7 * -0.03.\nAnswer: -0.171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*0.07\nAnswer: 0.007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - (16 + -2 + -15)) + -11 - (20 + -2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.4844459 minutes?\nAnswer: 29066754000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(343)*-2)**2 - 2*sqrt(343)*-1 - (sqrt(3087)*2 - (2*sqrt(63) + 2))**2.\nAnswer: -7707 + 158*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -6, -58, 1.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43899 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -3 - 21\/(-14)*(-88)\/(-30)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35262550 a multiple of 1465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/(-216)*3*3*1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4)*j*j)**(-9)*(j**(-11)*j)**36 assuming j is positive.\nAnswer: j**(-342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of a**6\/120 - a**5\/30 + a**4\/12 + a**2. Let s be m(2). Let b = s + -2. Solve b = -j - j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = -484 + 448. Let x(n) be the second derivative of -n**3\/2 - 4*n**2 - 28*n. Calculate x(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(440)\/(sqrt(56)\/(sqrt(42)\/sqrt(6))))\/(sqrt(180)*-3*-5 - sqrt(180) - sqrt(180)).\nAnswer: sqrt(11)\/78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 635 - 1025?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37 and 22681.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1972 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3633?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 129 = 67. Let g = c + -27. Solve 2*s = -g - 5 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10.725 - 12.725. Let v = 0.21 + -1.11. Which is the second biggest value? (a) -4 (b) 0.1 (c) v (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from avfvvvnavaaavaavvav. Give prob of picking 1 n and 1 a.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28929, -58074, -87219, -116364, -145509, -174654?\nAnswer: -203799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6456567 plus -324341?\nAnswer: -6780908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + y = -0*s, -3*s - 2*y = -5. Let t = 0.07 + -0.1. Let c = -0.23 - t. Sort c, 5, s in increasing order.\nAnswer: c, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5283\/7 - 757. Which is bigger: k or -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d**3 + 5*d**2 + 15*d - 23. Let x(b) = -3*b**3 + 4*b**2 + 14*b - 24. Let u(p) = 4*g(p) - 5*x(p). What is the derivative of u(o) wrt o?\nAnswer: -3*o**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*c\/c**(2\/7))**(2\/5))**(-1\/24))**(1\/32))**(-39) assuming c is positive.\nAnswer: c**(39\/1120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 147729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 7) + -14 - (1 - 12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/7*0\/119?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -44592, -178393, -401402, -713619?\n\"Answer: -44604*t**2 + 11*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/2 + 221869*q**2 - 24612704710*q - 49226296900.\nAnswer: -(q - 221870)**2*(q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -615*l*n**3*p - 2*l*n**2*p - 2*n**3*p + 143*n**3 - 4*n**2*p with respect to l.\nAnswer: -615*n**3*p - 2*n**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -6.38908 + -636\nAnswer: -642.38908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1379 at most 2\/797?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/88730 and -89\/674?\nAnswer: 29902010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 271*i**2 + 260*i + 2. Let h be v(-1). Solve -h*c = -17*c - 5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + c. Let p be y(1). What is the lowest common multiple of 38 and (-6)\/3*-4*p?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 2*b - 2*y, -339*y + 342*y + 12 = -3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -11100110110?\nAnswer: 11100111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 276 = 3. Calculate the greatest common divisor of 403 and q.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 16*a + 100. Let p be x(-5). Find the second derivative of -97*q - 17*q**3 - 4*q + 6*q**3 - p*q**3 wrt q.\nAnswer: -186*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*z - 18 = 68. Is z at most 2\/1411?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - 10. Let c = m + 21. Solve 2*l = c*h + 6, -3*h = -2*h + 2*l for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 9*f**2 + 13*f - 7. Give x(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231*r - 41*r + 950 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 1. Let p(x) = -4*x - 82. Let u(v) = -p(v) + 12*z(v). Let r be u(-23). What is the nearest to 0 in 1.6, 0.3, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 614787803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -1, -5, 2\/5, -0.66 in increasing order.\nAnswer: -5, -1, -0.66, -0.5, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 761*g - 442?\nAnswer: 761","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*(a*a\/(a\/(a\/(a\/(a\/(a\/(a\/((((((a*a**(-1\/3))\/a*a)\/a*a)\/a)\/a*a)\/a*a)))))*a)))\/a)*a*a**(-7))\/(a**(-7)\/a*a**9\/a))**(-23) assuming a is positive.\nAnswer: a**(575\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, f: 2, r: 9, x: 1, l: 3, k: 1}. What is prob of sequence rfkf?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 177429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*l + 10340 = -34*l. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221320 (base 5) in base 7?\nAnswer: 31323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/3387 or 1?\nAnswer: -4\/3387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-35)\/10 - -3 - -1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -224104492*g**2 + 118598942*g.\nAnswer: -448208984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -1 (c) -0.7 (d) 0.9 (e) 1\/8 (f) -2 (g) -1\/53\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of u**5 - 444998*u**3 + 9*u**2 + 3*u - 17915982 wrt u.\nAnswer: 20*u**3 - 2669988*u + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-10) + 204\/10. Suppose 4*u - r - 23 = -4*v, 3*u = 4*v + 5. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 52 = 7*g. Let z be (10\/((-60)\/g))\/((-1)\/6). Let l = z - -19. Calculate the remainder when 18 is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 15 = 2*f, 4*h + 5*f - 37 = 0. Let u be (h*28)\/4 - 4. Suppose 0 = -6*t + u + 361. Does 21 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 3273, 0.\nAnswer: -4, -3, 0, 3273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**2 - 20*f - 18. Let h be v(-14). What is h rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11222220222020010 + 12?\nAnswer: 11222220222020022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 3:33 AM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3142, 3131, 3106, 3061, 2990, 2887, 2746?\nAnswer: 2561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/1 - (3 + -16). Let d be (-14)\/77 - (-2)\/p. Solve -9 + d = -3*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26? (a) -1 (b) -19179 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 74*z. Let a(r) = -397*r**2 - r + 1. Determine a(n(q)).\nAnswer: -2173972*q**2 - 74*q + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -9*y**3 - 955*y**2 - 97*y + 952. Give i(-106).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 9:19 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.1 (b) 0.3 (c) 2.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3673*b + 2061*b + 24180 = 0 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52537553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, p: 2, u: 2}. Give prob of picking 2 p.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-4)*2*(13 - 9). Solve -t*w - 2*z = -6, -w + 4*z - 1 = 3*z for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -193\/570 + -9\/95. What is the common denominator of -107\/210 and k?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 - -1) + 2\/2. Let h(l) = 16*l + 1. Let x be h(1). Let r = 33342 - 33340. Sort -2, r, n, x in decreasing order.\nAnswer: x, r, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 8 - 3*d + (-43*d + 51*d - 35*d)*(-1 - 4 - 1) to h + f*d and give f.\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-7)\/((-70)\/(-15)))*(-17057)\/(-922)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -111876 smaller than -111755?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4884208?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 9, c: 2}. What is prob of picking 2 z?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69666 is divided by 1290?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 126, 251, 376, 501, 626?\nAnswer: 751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1147 - -5818. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 74*l + 1. Calculate the remainder when d(1) is divided by 16 + 4 + 0 + -1.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/4)\/((-8)\/16). Let w(a) be the second derivative of -a**3\/6 - a**2\/2 - 48*a + 2. Let m(u) = 4*u**3 - 4*u - 4. What is o*m(g) + 4*w(g)?\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*q**3 - 3*q + 3*q**3 + 5*q**3 - q**4 - 4*q**2 in the form g*q + j*q**4 + x + i*q**2 + c*q**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 33928 to the nearest one hundred.\nAnswer: 33900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 + (-10 - (-70 - -25)) + (1 - (1 + -30)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -31495278 < -31495278?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 94122 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**2 - 4*l**2 - l**2)*(l + 0*l + l) + 0*l**3 + 15*l**3 - 5*l**3 + 4*l**3 - 2*l**3 + 2*l**3 + (l - 2*l + 2*l)*(6*l - 2*l - l)*(l - 3*l + l).\nAnswer: 9*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -104 + 63. Let w = 49 + s. Suppose w*b + 28285 + 9395 = 0. Round b to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.017899 minus 5?\nAnswer: -5.017899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 161 and 442106.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 3:51 PM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(343) + 1)*-4*-5)**2.\nAnswer: 5880*sqrt(7) + 137641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 3*o**2 - 2*o + 4. Let x = 9 - 6. What is the lowest common multiple of x and p(-3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 123*j**2 - 242*j**2 + 85 + 121*j**2 to d*j + n + k*j**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - o**2 - 4 + (3*o - 2*o + o)*(4*o - 3*o - 2*o) + 54*o**2 + 5*o**2 + 7*o**2.\nAnswer: 63*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -122099 + 14*g + 122099. Let i(q) = -3*q**2. Let d(p) = -4*p**2. Let b(l) = -5*d(l) + 7*i(l). Give h(b(t)).\nAnswer: -14*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*n + 34. Let k(r) = 3*r + 0 + 6 - n. Let b(q) = -5*q + 5*q - q**2. Calculate k(b(w)).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/15 and 7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h - 12*h + 4 = 0. Let l(f) = f**3 - 6*f**2 + 2*f - 2. Let p be l(6). Sort p, h, 1 in ascending order.\nAnswer: h, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1328, 2647, 3968, 5291?\nAnswer: 6616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -55? (a) -1 (b) 3 (c) -0.3 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*t**2 + 16*t**2 + 12*t**2 - 927 + 17*t**2 - 60*t**2.\nAnswer: -t**2 - 927","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.6, 80.4, -0.07, -2\/5?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -399, -1570, -3515, -6228, -9703, -13934?\nAnswer: -18915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m + 3. Let h be a(0). Put 14, h, 5 in ascending order.\nAnswer: h, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t - 7. Let k be x(-7). Let r(o) = -5*o + 14. Let m(g) = -4*g + 13. Let v(y) = 6*m(y) - 5*r(y). What is the units digit of v(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2432493744.\nAnswer: 2, 3, 5021, 10093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -6 - 13\/(13\/(-176))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(15\/(-2))\/(((-55420)\/102)\/(-163))\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 253738731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**26*b**11)\/((b**(3\/13)*b)\/((b**(3\/11)\/b*b)\/b)) assuming b is positive.\nAnswer: b**(5011\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/7)\/(1\/(-7)). Find the third derivative of 0*a**2 - 3*a**l + a**6 - a**6 - 3*a**6 wrt a.\nAnswer: -360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -1293*k**2 - 6109*k + 1783. Give z(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1512483 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -59?\nAnswer: 5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 325*s + 142. Let z be p(8). Suppose -3*w + 5*x + 2677 = 0, -4*x - z = -5*w + 1737. What is the remainder when w is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0528505 rounded to 4 decimal places?\nAnswer: -0.0529","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 576811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 35084566283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 17*b**2 + 29*b - 22. Let t = 111 + -95. What is the remainder when m(t) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k + 31 = b - 20, 4*b - 60 = -8*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t + 0*t + 65 = 0. Suppose -2*u = -t*c - 31, -5*c = -u - 4*u + 40. Solve -2*q = -s - 5, -3*q + s + 9 - u = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4\/25 + 1\/25. Sort -3, 10, x in ascending order.\nAnswer: -3, x, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8099105689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0*i + 2*i - 14 = 0, -5*u - 26 = 4*i. Let a(x) = -7*x - 7. Let z(s) = -2*s - 2 + 1 - 2 + 1. Suppose 11 - 121 = -5*b. Give b*z(n) + u*a(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/6 of a week?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 110253821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/315276 and -107\/48880.\nAnswer: 6305520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 534*h + 8 = -532*h, 2*u - 9*h + 36 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 115360 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 38, 0.2, 6?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-162)\/(-21))\/(-9) - (-2)\/7.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1188 * 484\nAnswer: -574992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - 13?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 + -2 - -4) + (-1 + 0 - -8) - -6.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 95 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22a (base 16) to base 6.\nAnswer: -2322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-2)\/92*2.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 410249 + -122?\nAnswer: 410127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 7 = -1, 3*n = -5*z + 14. Let v be ((-2)\/(10*n))\/((-5)\/90). Is -3 less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 356 + -350. What are the prime factors of (694\/x)\/(65\/195)?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.36 - 2.64. Let x = -400\/3 - -132. Which is the third smallest value? (a) x (b) -4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 11 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 48240000 = 4*t. What is t rounded to the nearest 100000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03558 * 2477.4.\nAnswer: 88.145892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*k + 42*k**3 + 3*k + 19 - 4*k + 65*k**3 wrt k.\nAnswer: 642*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -37, -2, -140.5, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23581 - -52701. Suppose 33*t = 17*t - j. Round t to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 x when two letters picked without replacement from {v: 7, e: 1, h: 4, x: 2}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + w**2 + 26*w - 36. Let o(u) = -u**3 + u**2 + 53*u - 72. Let m(q) = 5*a(q) - 2*o(q). Find s such that m(s) = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 924959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 704 by -11.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2.4 (b) -232 (c) 5\/4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (1 + 1) - (-1442 + 1510)) + 7?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f. Let o(z) = 350*z. What is s(o(x))?\nAnswer: -1050*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**3 - 181*n**2 - 532*n + 2. What is g(-3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i + 2*i**2 + 4*i**2 - 4*i**2 + (0 - 5 + 3)*(3 + 2*i**2 - 3) - 27*i + 20*i**2 + 27*i.\nAnswer: 18*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -314 + 318. Suppose 2 = m + m. Let j = m - -4. Is j less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 16) to base 9\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**5 - 2*d**5 + 2*d**5 + (1 - 3*d - 1)*(0*d**4 + 2*d**4 - 3*d**4).\nAnswer: d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 27568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 4 (b) -1\/11 (c) 10 (d) 5 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63690717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (1459 - 25)*4\/3 and 12?\nAnswer: 5736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/4668639 and -21\/172.\nAnswer: 18674556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y - 3*y + 2*y - 2*y + 1 - 1 + (0*y + 0*y + 2*y)*(3 - 5 + 0) + 0*y + 2*y + 0*y + 97*y - 36 + 176*y - 274*y.\nAnswer: -4*y - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 3*q - 8. Let z(v) = v - 3. Suppose 3*r + 11 = 2. Let w(u) = r*b(u) + 8*z(u). What is the second derivative of w(m) wrt m?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnonnnntn. Give prob of picking 1 n and 1 o.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 9:50 PM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -3 + 1, 0 = -4*r + y - 35. Let d = r - -12. Solve -d*s = -6 - 6 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 2:44 PM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -372*l**3 + 47*l**3 - 116*l**3 - 119*l**3.\nAnswer: -560*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-3)*(165\/(-70))\/(-11).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 5*k - 77 = -20*q, 1369 - 1347 = 2*k + 4*q for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2157298?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -24441112?\nAnswer: -24441103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - g - 615*p + 619*p = -55 - 13, -2*g + 2*p = 68 for g.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + (17 - 17) + 43?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*x**5 - 119665*x**4 - 89820*x**3 + 358955*x**2 + 508610*x + 179520 = 0 for x.\nAnswer: -1, -3\/4, 2, 5984","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/4 - (-1443)\/(-1044). Let f = 1\/29 - j. Calculate the common denominator of 0 + 1 - 0 - 75\/20 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -5*p + 17, -13 = -3*p + 2*p - 4*i. Sort 3, 4, p in descending order.\nAnswer: p, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.8 + 9. What is the closest to f in 1, 2, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1000 is divided by 630?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -19 + 23 - (3 - 2). Suppose 0 = -g*z + 2*z + 330. Is z less than 331?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 3\/8 (b) -73 (c) 1\/5 (d) -5\/7 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1711, -7191, -16303, -29053, -45447, -65491?\nAnswer: -89191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 8*p = j + 20, -j = -2*p - 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(3\/8)*k**(2\/11)\/k)\/((k**(4\/9)*k)\/(k*k**(-11\/6)\/k*k)))**24 assuming k is positive.\nAnswer: k**(-1957\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23601 + 59288. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -9. Let s = -25 - -22. What is the smallest value in s, p, 0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**3\/10 + 1783*j**2\/10 - 66625*j = 0. Calculate j.\nAnswer: 0, 533, 1250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -6*g + 24. Let w be z(4). What is the common denominator of -20\/27 and 163\/12 + (-1 - w)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10666546 to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 12, -38, 0, 0.4, 1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 19*h**3 + 13*h**2 + 6*h - 18 - 36*h**3 + 16*h**3. Is 6 a factor of i(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24917864.\nAnswer: 2, 79, 89, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2855*u - 1617*u + 6098*u - 1625*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 694630199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2251 a factor of 667898422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1415754 and 1887672?\nAnswer: 5663016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -25*f + 5. Let v be i(-4). What is the units digit of (5\/((-25)\/(-2)))\/(3\/v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 677.92 and -0.4.\nAnswer: -271.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*q + 4*r = -111*q - r + 4, -3*q - 6*r + 51 = 0 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2247\/8 + -279. Find the common denominator of y and (-3210)\/(-360) + (-4 - (-12)\/4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 (base 14) in base 11?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*t**4 - 3*t**3 + 2*t**2 - 714 wrt t?\nAnswer: 40*t**3 - 9*t**2 + 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -8 - 0. Suppose -630 = -s*z + 90. List the prime factors of z.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*b**5*p - 23*b**4*p - b**3 - 2*b*p + 4*p wrt b.\nAnswer: -80*b**3*p - 276*b**2*p - 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of d**8\/13440 - d**7\/1680 - d**6\/60 + 7*d**5\/12 - 32*d**2. Let t(b) be the third derivative of n(b). Solve t(l) = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 3:36 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/6)*d)**(-10) assuming d is positive.\nAnswer: d**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-51 - -41 - (-5 - -1)) + 0 + 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4*(sqrt(11) - (sqrt(11) + 1)**2).\nAnswer: -52 - 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 11133490 (base 10) to base 9\nAnswer: 22848244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 7:56 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288) + sqrt(12)\/(-1*sqrt(6)) - (-4*sqrt(88) - sqrt(22))\/(sqrt(1331)*2).\nAnswer: 251*sqrt(2)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -14578*o - 306112. Determine z(-21).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44675 - 44675 - 3*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*g + 2*o, 3*g = -3*o - o - 10. Suppose -4*c + 148 = -3*s, -5*c + 66 = -g*s - 119. Suppose 0 = 2*u - 37 - c. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1346 divided by -673\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -229 divided by 2.\nAnswer: -229\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p + 9*p + 258 = -252 - 120 for p.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 7 + 2 + -13?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -7*s - 4. Is 16 a factor of n(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*a - 20 - 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 - -1.7. Let h(g) = 0 - 3*g + g**2 - 2*g + 3. Let m be h(4). Which is smaller: l or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/(-6) + ((-196)\/21 - -10). What is the second smallest value in -4, -11, m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a meter in millimeters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 2*c - 8 = 0, 3*z - 2*c - 18 + 2 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24\/(-15)*(-30)\/(-4). Let k = v - -68. Is 13 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1352546416 to five dps.\nAnswer: 0.13525","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -13. Let i(a) = 3*a - 1. Let j be i(1). What is the first derivative of -4 + 5*z**2 + 3 - m*z**j wrt z?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -32*o - 16. Suppose -2*u - 3*r + 8 = 0, 27*r = -5*u + 4*r + 113. Calculate t(u).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -7*d**2 - 1534*d - 202. Determine i(-219).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/32))**(-4\/5)\/((n*(n\/(n*n*n**(5\/2)))\/n*n)\/(n\/(n\/(n*n**(-6))*n))) assuming n is positive.\nAnswer: n**(-141\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 10, c: 2, d: 3}. Give prob of sequence dcd.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a. Let m be (-5)\/2*8\/(-10). Let r(u) = -9*u**2 + 12*u**2 - m*u**2. What is r(i(g))?\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (0 + 10 + -6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -519\nAnswer: -155.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*w + 1209 = 3993. What is the remainder when 11743 is divided by w?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((161\/69)\/(-7))\/((-1)\/(-48)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.65, 0.1, 15, 11, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 g, and 1 u when four letters picked without replacement from {e: 1, i: 3, u: 2, s: 3, g: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, y: 1, r: 2, x: 2, n: 1}. Give prob of picking 1 n, 1 y, 1 e, and 1 r.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + w. Suppose 0 = -5*b + 7*b - 8. Let x(c) = -11*c**2 - 4*c. Calculate b*o(d) + x(d).\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14277?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 6*k**2 + 3*k + 1. Let x be o(-2). Suppose -4*w - 3*v = -1029 + 196, 4*w - 3*v = 839. What is the highest common divisor of x and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 5:52 AM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 28*m**3 - 45*m**2 - 7*m + 4. Let x(v) = -15*v**3 + 23*v**2 + 4*v - 2. Calculate -3*i(z) - 5*x(z).\nAnswer: -9*z**3 + 20*z**2 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmvgmmgvcgmcc. What is prob of sequence cvcg?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.92 * 4235.1.\nAnswer: 8131.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6929, -13243, -19545, -25829, -32089?\nAnswer: -38319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/10)\/((28\/(-21))\/4).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 356 - 397.4. What is t rounded to zero dps?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 1 = -21. Let p be (-32)\/(-12) - 4\/6. Suppose -p*k - 2*k + 40 = 0. Solve -z - 2*r + 11 - 1 = 0, -d*z + 2*r - k = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from drrd. Give prob of sequence rr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + (4 + 2 - 3). Let l be (-36)\/(-2)*(29\/c)\/1. Let i = -67 + l. Calculate the remainder when i is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -35 - -418a10?\nAnswer: 418986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o**11*o)*(o\/(o*o**6))\/o*o assuming o is positive.\nAnswer: o**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -71 + 86. Let w = -1.26 + 113.26. Let x = 111 - w. Sort x, u, -3 in increasing order.\nAnswer: -3, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 4*f - 1494, -3*s = -5*f + 4*f - 2261. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99 = -28*b + 41 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or 367504?\nAnswer: 367504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -712*a + 6582*a + 1828*a + 4 + 1476*a.\nAnswer: 9174*a + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19058 is divided by 1002.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265 is divided by 131.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, b: 3, p: 1, f: 1, k: 2, j: 1}. What is prob of picking 1 p and 1 f?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1580078879?\nAnswer: 16493, 95803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 7*v**2 + 3*v + 3. Let w = -37 - -31. What is p(w)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of v**8\/48 + 7*v**5\/30 + 5*v**2. What is the third derivative of i(g) wrt g?\nAnswer: 420*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 338289 by -1267.\nAnswer: -267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/61 in 3, -4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 236 = w, 3*c + 637 = -4*w + 1594. Let l = w + -82. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 376 divide 261222240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10304 divided by -1.\nAnswer: 10304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -404 - -404.3. What is the nearest to 0 in -1, -5, o, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -14. Solve 3 = -5*i - 2*b, -3*i + 21 = 2*i - x*b for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 0*i**3 + 9 - 24*i**4 + 21*i**4 - 7 + i**3 - 2*i - 549*i**2 to c*i**4 + m*i**2 + t*i + w*i**3 + l and give m.\nAnswer: -549","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 1*sqrt(11)*2)**2 - ((sqrt(1100) + 1)**2 - sqrt(11)).\nAnswer: -1002 - 19*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 7*j**2 - 8*j - 17. Let m be s(-6). What is the closest to 1\/2 in -2, m, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 127.98 - 40.3. Let q = 4.52 + k. Round q to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 18. Let o = 10 - b. Suppose u = o*u. Solve u = 3*c + 5*h + 21, 14 = -4*c - h - h for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41.17 + 11.83. Put s, -5, 1, 4 in decreasing order.\nAnswer: s, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -17*r - 39738. Let i(m) = -30*m - 69540. Give -9*i(c) + 16*n(c).\nAnswer: -2*c - 9948","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -750513 divided by -10281\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-5) + 12\/20\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 234?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 5*r + 3. Suppose -14*x + 9*x = 0. Let u be p(x). Solve -4*z = -u*z - 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/1)\/(-2)*-37*(-28)\/6734.\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-2))\/(28\/14).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-19)\/(-8) + 12\/(-32). Factor -3*f + 5*f**4 - 18*f**3 - 8*f**2 - a*f + 5*f.\nAnswer: f**2*(f - 4)*(5*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1232 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/2*3\/(-3). Let l = 0.091 - -0.009. Let q = l + 2.9. Which is the nearest to -2\/5? (a) d (b) 1\/3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by 3745?\nAnswer: 16\/3745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.45 + 0.35. Let m = 0.2 + i. Let o = 4.004 - m. What is o rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1415 <= 11.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13576 - 54305\/4. Let t = 0.5 + -0.8. Which is the second biggest value? (a) t (b) z (c) 2 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n + 1. Let i(h) = -2. Let l(s) = -1. Let b(w) = 3*i(w) - 4*l(w). Let x(t) = b(t) + 2*j(t). Let z(k) = -k**2. Give z(x(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1937 = 31*f - 11*f - 997 for f.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/836365 and 7\/56944.\nAnswer: 13381840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (5*(sqrt(2880) - -2*sqrt(2880) - sqrt(2880)) + sqrt(2880) - sqrt(2880))\/(-3*sqrt(80)\/(sqrt(8) - (sqrt(24)\/sqrt(3) + sqrt(8)))).\nAnswer: -3 + 40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9 + 574\/70)*2*3\/(-12). Let x(n) be the second derivative of -n**5\/10 + n**3\/6 - n. Let i be x(-1). Is i != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -j**4\/4 + 7*j**3\/3 + 3*j**2\/2 - 8*j + 147. Calculate d(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -4*p. Let h(g) be the second derivative of -g**4\/6 - 6*g. Give h(v(k)).\nAnswer: -32*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 4*w - 2. Let d = 13 + -19. Is o(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 19 = -w, -4*w + 25 + 3 = 5*u. Suppose 5*i + 2 + u = 0, 5*z = -3*i + 4. Solve 2*s - 5*m = 27, -z*m = 3*s + 2*m + 17 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-261)\/12*-46 - 10\/4. Is 999 at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 64 = 37. Suppose 8*x - 185 = -y. Let u(d) = -23*d - 5. What is the remainder when u(-4) is divided by x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4923 + -4911. Sort 5, -4, z, -5, 39.\nAnswer: -5, -4, 5, z, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 n when three letters picked without replacement from nnmnnmmmmnmn?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327612 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.05603067 + -2256\nAnswer: -2256.05603067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 5475.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and -284547.81.\nAnswer: -284545.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/6, -3, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49)\/(1372\/2422) + (4\/(-6))\/(12\/9).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -10. What is the second smallest value in -1\/4, 2, y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63145152 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 457 (base 10) to base 7.\nAnswer: 1222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221002 (base 3) to base 9.\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/72)\/(2\/(-84)) - 3.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4871.\nAnswer: 4871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 343919258, 343919262, 343919268, 343919276, 343919286?\n\"Answer: x**2 + x + 343919256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - -2 - -2) + -113. Let j = f + 244. Suppose -j - 17 = -3*g. Calculate the greatest common divisor of 10 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-48)\/(-144)*(2 + 285931) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -74 + 82. Solve -n*u = -5*u - 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71 + 0 - (3376 + -3445).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 6*u**2 + 6*u + 5. Let a(b) = -4*b**3 + 2*b**2 - 1. Let l be a(-1). Let p be f(l). What is the highest common factor of p and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-5)*10\/(-85)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -74, -11, 92, 235, 418?\n\"Answer: 20*n**2 + 3*n - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - 21. Let j be 6*2\/(-60)*g. Which is bigger: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than -478?\nAnswer: -478.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28576357 to the nearest integer?\nAnswer: 5346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**(-8\/11))\/h**5)**2 assuming h is positive.\nAnswer: h**(-50\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**5 - 6796*q**4 + 5766402*q**3 + 11553200*q**2 + 5780000*q.\nAnswer: 2*q*(q - 1700)**2*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 1607*x - 179982. Calculate h(112).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.08 + 3.68. Let j = 25409 + -25409. Which is the nearest to w? (a) -3 (b) 1\/7 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + l + 1 = -k, 0 = 3*k - 4*l. Let h = k - -39. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3586 is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3086654778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (26\/(-1 - 1))\/((-6)\/18). Suppose 26*b = x*b - 65. Solve 4 = -a - w, -2*w + 5*w = -b*a - 14 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 281794?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**4\/7 + 104*b**3 - 1440*b**2\/7 - 416*b + 5792\/7 = 0.\nAnswer: -2, 2, 362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 0. Suppose -4*g - 7 = 5*m, 2*m + 20 = 3*g + 8. What is the second smallest value in g, -15, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jaaarbtjjrataraarjt. What is prob of picking 1 a and 1 r?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 34539, -3, 23.\nAnswer: -3, -2, 23, 34539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -g**7\/42 - 2*g**6\/15 - 3*g**5\/10 - g**4\/3 - g**3\/6 - 5*g. Factor n(i).\nAnswer: -i*(i + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -87 - -80. Let z(x) = -x**3 + 3*x**2 + 14*x + 19. Let i(o) = -o**3 + 4*o**2 + 13*o + 18. Let r(h) = 4*i(h) - 3*z(h). Is r(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -h - u, -4*h + 0*u = -4*u - 96. Solve 5*o = d + 25, -4*d = 5*o - 8*d - h for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1634.0647 to the nearest 100.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - -3. Solve 0 = 3*u + 2*b - 4, u - 2*b = -b + m for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -645 - -651. Let n be 9*3*8\/18. Suppose 44 - n = 2*v. Calculate the smallest common multiple of s and v.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = 304*v + 154 + 780, -v - 36 = -3*r for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 25*s + 2816*s**2 - 32 - 2815*s**2 + 84 + 110. Determine z(-14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4274356 + 0.8174443. Let d = o + -0.39. What is d rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -42*z**2 + 327*z - 692. Give o(6).\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2 + 230788*v.\nAnswer: 4*v*(v + 57697)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-600)\/4500*(-6)\/4. Let p = 0 + -0.08. What is the third smallest value in s, p, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 228 = -15*y. Let x(v) = -v**3 - 13*v**2 - 13*v - 7. Calculate x(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/(-1*sqrt(768)).\nAnswer: -sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2388 - 2393.469. What is x rounded to 1 dp?\nAnswer: -5.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*k**2 - 2\/9*k + 0.\nAnswer: 2*k*(k - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17 or -777\/47?\nAnswer: -777\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42) + (5*sqrt(462))\/sqrt(11) - (sqrt(42) + 5*sqrt(4200)))\/(sqrt(72)\/(-5*sqrt(768))*-3))**2.\nAnswer: 2520000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -135*z + 94*z + 205. Factor 1\/3*p + 2\/3*p**4 - 2\/3*p**2 + 0*p**3 - 1\/3*p**z + 0.\nAnswer: -p*(p - 1)**3*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6646*h - 6651*h = 15, 0 = -3*b - 4*h + 11514. Which is greater: 19217\/5 or b?\nAnswer: 19217\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9225669 and 11928?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 2*a = -16, a = 4*i - 39 + 26 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (87\/29)\/(((-297)\/(-1320))\/((-6)\/5)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3826956?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_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 b(i) = -5*i**2 + 7*i - 7. Let x(y) = 126*y**2. Determine b(x(f)).\nAnswer: -79380*f**4 + 882*f**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c - 60 = -23*c. Solve -3*b - 13 = -c*p, b = -p + 5 - 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2378 = -510*v - 1358 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**2 + 10*r - 6*r + 3*r**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 193 divide 29915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4580420 and 474?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 64374996503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*k - 18*k = 20. Let p(r) = -r**2 + 4*r. Calculate p(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**4 - y**4 + y**4)*(3*y + y - 3*y) + (y**4 + 2*y**4 - y**4)*(6*y - 4*y + 5*y).\nAnswer: 15*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -472 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**1*(l*l\/(l*l\/(l*l**2)*l))\/l*l*l**(-1\/2)*l**(-5\/4) assuming l is positive.\nAnswer: l**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/828 and 55\/132186.\nAnswer: 18241668","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 987583680 divided by 3086199.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 189156 divided by -47289?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 197199 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*v - 9*v = 38*v + 78 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 5*y - 5. Suppose u = -5*g + 19, 4*u - 4*g + 32 = 2*u. Let h be j(u). Solve b + h = t + 4, -1 = -b + 2*t for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**2 - 3*x + 4. Let k(q) = -q**2 + q. Let m(v) = 3*k(v) + o(v). Let d be m(-3). Let j = 3.1 + 0.9. What is the third smallest value in d, j, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 4:55 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(21\/(-18))*-1*49 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -17 + 35?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.11 - 6.10999466. What is q rounded to seven decimal places?\nAnswer: 0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1224*y + 489 - 1540 = 3358 + 487 for y.\nAnswer: -4","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 kxkhkxgkwkkkmkgkkkkk.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a**4\/4 - 445*a**3 - 24865*a**2\/4 + 120395*a\/2 - 112530 = 0. Calculate a.\nAnswer: -341, -22, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**4 - 2551178*l**3 - 6*l**2 + 7653530*l + 5102356 = 0.\nAnswer: -1, 2, 1275589","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5\/8 (b) 146 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 - 2*n**2 + 4*n**2)*(-1 + 2 + 0)*(-3*n + 0*n + n)*(-4 + 4 + 2*n) - 54*n**4 + 0*n**4 - n**4.\nAnswer: -63*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bmmb. What is prob of picking 2 m?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 15034.14486 microseconds?\nAnswer: 0.00000002485804375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4*n = -4*l + 64, 0 = -3*l + 3*n + 105. List the prime factors of l.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.64 + -1.3. Let f = 0.04 - o. Suppose -g - 4*k - 8 = -5*g, 5*k + 22 = g. Put 4, g, f in descending order.\nAnswer: 4, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, -473, -1561, -3673, -7151?\nAnswer: -12337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 11*t**2 + 42*t - 187. Let v be s(13). Solve -5*y = -2*o + v, -20 = 4*o + o + 2*y for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j + 2*u + 19, -10*u + 11*u + 8 = -j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 4*n**3. Let i(r) = r**3 + 2*r**2 + 1. Suppose 2*m - 5*j - 15 = -4, -5*j = 15. Let w be i(m). Give z(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1899253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9*-136.365.\nAnswer: -122.7285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0 = 1. Suppose 0*t = -4*t - 4. Is i equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3042*x**2 + 41*x**3 + 3042*x**2.\nAnswer: 41*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -531*j - 3622. What is m(-7)?\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 12:03 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 42, 69, 100, 135?\nAnswer: 174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 798.\nAnswer: 3990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*x + 51 - 123. Suppose -o = 2*a + 15 - 6, 0 = o - 3*a - 11. Sort 4, 7, o, x in decreasing order.\nAnswer: 7, 4, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-4*(sqrt(425) + 0) + (sqrt(1700) + sqrt(1700) + -3 + 1)*-5)**2.\nAnswer: -400*sqrt(17) + 6900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/25 in 1\/4, 1\/3, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (1 + -1)) + (1596 - 1605) + -1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -4. Let p = -171 + 171.5. Which is the third smallest value? (a) r (b) p (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 - 11 = 3*s. Find the common denominator of (-261)\/(-30) + 9\/(-3) and 2 + -1 - (-123)\/s.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of 37*l**5\/30 + 2*l**2 + 283*l. Let r(y) = 1478 - 2*y - 1478. What is r(a(m))?\nAnswer: -148*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a*p**2*y + 3*a*p**2 - 3*a - 8*p**2*y - 10*p*y wrt a?\nAnswer: p**2*y + 3*p**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12423*h**3*q**3*z**2 - 48*h**3*q**3 - h**3*q*z + 60*h*q*z**2 - 11991*q**2*z**2 wrt q.\nAnswer: -74538*h**3*z**2 - 288*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83156 is divided by 20783.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a day in hours?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-13)\/(-39) + (1322\/(-564) - -2). Let g(b) = b**2 - 4*b + 4. Let l be g(3). Is s at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.017479843461 to 3 decimal places.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.202 times -0.07?\nAnswer: 0.92414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -26668 + -4?\nAnswer: -26673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4*sqrt(35)\/(1*sqrt(5)))**2.\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from bhbbfbfhbhbhbhhhbbf.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 24*i - 4 + 29*i**2 - 4*i**3 - 9*i**2 + 4 = 0. Calculate i.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -63*o**2*v - 2*o**2 + 2*o + 16*v wrt o.\nAnswer: -126*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ak when two letters picked without replacement from kaakkaaa?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -380623, -380624, -380625, -380626, -380627, -380628?\nAnswer: -380629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 53127 (base 15) in base 7?\nAnswer: 2145154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -233032*-1.713.\nAnswer: 399183.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/((-14)\/(-10) + -1). Let t = 9 - i. Let w(h) = 14*h - 9. Let j(k) = 3*k - 2. Let n(x) = 6*j(x) - w(x). What is n(t)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -t + 49 + 154, 0 = 2*t + 2*n - 406. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 3:24 PM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18602*b**5 + 18971*b**2 wrt b?\nAnswer: -1116120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1304 = -0*k + 8*k. Let x = 373 - k. Is 9 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-203)\/(-105) - 2)\/((-65)\/(-15) + -4)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*w = -98, 3*w - 12 = -v + 2*v. Let m = -25 - v. Solve 2*h + 12 = 5*o, -5*o - m*h + 6 = 2*h for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2473, -2539, -2607, -2677, -2749, -2823?\nAnswer: -2899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -3*u**5 + 24*u**4 + 93*u**3 + 66*u**2 = 0.\nAnswer: -2, -1, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 3*q + 15. Let a = 170460.5 + -170461. Let l = -0.06 + -2.94. What is the closest to l in q, a, 0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(605) - (sqrt(605) - sqrt(605)*2))*-6 + (sqrt(605) - -1*1*sqrt(605)))**2.\nAnswer: -880*sqrt(5) + 60516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9\/10 of a meter?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 329*a + 2393. Determine v(-7).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39*s**4 + 15*s**3 - 153*s wrt s?\nAnswer: -468*s**2 + 90*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3950, 15783, 35512, 63143, 98682?\nAnswer: 142135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v + 12*v = m + 9, 39 = 8*v - 5*m for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57110 + 36590 = -4*z. What are the prime factors of z?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 2 - (-1 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7978587928?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/15, -2\/3, 0.1, 216, -0.136?\nAnswer: 216","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 45*z**3 - 10*z**2 + 7*z - 239. Let k be h(9). Calculate the highest common factor of 47 and k.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - 3 - -3 - -33. Suppose -5*q + 3*v - 28 = 0, v + p = -4*q - 3. Find the common denominator of 19\/6 and ((-6)\/(-6))\/(q\/101).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 56 = -3*h, -4*h + 8 = -0*h. Suppose -g = -0*v - 2*v. Solve v*q - 3*q - 2 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 4*m + 2*m)*((3*m + 5*m - 4*m)*(-3*m + 2*m - 4*m) + 4*m + 2*m**2 - 4*m)*(-5 - 2*m + 5).\nAnswer: -36*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 155633529?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 256d (base 15) to base 14\nAnswer: 2c9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + -1 + 170 + 4. Let y = 330 - t. Suppose -1159 + y = -3*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7829.5 rounded to the nearest 100?\nAnswer: 7800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -141*h**2\/7 - 34128*h\/7.\nAnswer: -3*h*(47*h + 11376)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -90 - -89. Which is the closest to -3? (a) 0.5 (b) g (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q + 17 = 8*q + 4*c, -214250 = 7*q + 2*c - 214311 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/5*(-4)\/8*-2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 11*p + 5*u - 224, 5*p + 2*u - 367 = 0. Find the second derivative of 9*l**3 + l**3 - 43 + 2*l**2 + p*l + 43 wrt l.\nAnswer: 60*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 13 - ((-1040)\/(-26) - 27). Suppose -a + 5*n - 24 = 0, 2 + 15 = -3*a + 4*n. Let q(b) = -b**3 + 6*b**2 - 5*b - 5. Let w be q(5). Sort w, a, 3, i.\nAnswer: w, i, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -430, -565, -806, -1159, -1630, -2225, -2950, -3811?\nAnswer: -4814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - 226895593?\nAnswer: -226895592.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of q**2\/2 - 1428. Let k(m) = 4700*m. Determine k(n(f)).\nAnswer: 4700*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 4*x. Let d be f(4). Suppose 4*v - 3 = -l, 4*v = -3*l - d*l - 7. Solve v*b + 21 - 7 = -3*c, -5*c - b = 21 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -863 - -6668. Suppose -130*q - n = -139*q. Calculate the remainder when q is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**17*g**(-2\/3)*(g\/g**7*g)\/(g**(-2\/31)*g) assuming g is positive.\nAnswer: g**(1060\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 3*t + 8 = 0, 1301*b - 4*t + 6 = 1299*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 - 17 - 5*j - j + 2*j - 3*j - 2*j - 2 + 2 + (2*j + 2*j - 3*j)*(1 - 2 + 2) to a + h*j and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (32 - 32 - 7*t)*(6 - 4 - 3) in the form p*t + v and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.982 - -0.952. What is the smallest value in r, 0.08, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f. Let t(q) be the first derivative of 0*q**2 + 145\/3*q**3 + 0*q + 4. Determine b(t(c)).\nAnswer: -290*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 - (-4 - -9 - 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -219*h - 4823. Let i be d(-22). Let z be ((-1)\/(-82))\/((-5)\/(-4)). Let f = z + -84\/205. Which is the nearest to -0.38? (a) i (b) -3\/2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 times 159?\nAnswer: -1431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(27\/(-75))*(-33)\/55.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -9*g**2 - 2*g + 3. Let u(y) = -9*y**2 - 2*y + 4. Give 4*r(b) - 3*u(b).\nAnswer: -9*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 1\/29, 5, -0.4, 58\/5?\nAnswer: 58\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j + 5. Let w(p) = -1. Let t(h) = d(h) + 3*w(h). Let k be t(0). Let z = k - -1. Solve 2*b - z = -b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + 5.2137969?\nAnswer: 4.8137969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-21)*12\/4. Suppose 0 = -5*c - 4*o + 1, -5*o - 9 = -c - 3*c. Is c bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppxpslppp. Give prob of sequence sx.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -v**4\/48 - 3*v**3\/8 - v**2 - 133*v. Factor t(q).\nAnswer: -(q + 1)*(q + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 1806 = -4*s + 4*p, 4*p + 8 = 0. Suppose -28358 = -s*y + 448*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 13*y**2 + 12*y - 1. Let h be m(-12). Let r(c) = -4*c + 1. Determine r(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27\/122542 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -6\/2514011 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-38)\/152*-5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(3 - (-3 + 5)). Let d be (1\/4*v)\/2. What is the closest to -0.1 in 3\/4, -0.4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -49*y**2. Let w(k) = 4*k**2 + 6801 + 6801 - 13602. Give q(w(z)).\nAnswer: -784*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 > 10407\/613?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*d**2 + 31*d**2 + 351 - 94*d**2 + 33*d**2 in the form z + j*d + n*d**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**2\/21 + 480139992*q\/7 - 86450404469160024\/7 = 0. Calculate q.\nAnswer: 360104994","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -436 or -59?\nAnswer: -436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*n - 8867 - 1198. What are the prime factors of n?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*y - 105 = 2*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 281051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -2\/3655, 0.2, 0, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -26964.9863 minus 0.151022?\nAnswer: -26965.137322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -350 + 493. Let d be (-4)\/(-26) - 22\/t. Solve d*g + 4*c = 4*g - 8, 0 = 5*g - 4*c - 13 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 7*h - 11. Calculate o(15).\nAnswer: 319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -649, -1299, -1951, -2605, -3261?\n\"Answer: -y**2 - 647*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -5, 3799, 0.12, -2, -32, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 4*h = 20*c + 912, 241 = -5*c - 156569*h + 156566*h for c.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in three tenths of a millennium?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-78)\/18)\/(-13))\/(2\/24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -328259 divided by -1337\nAnswer: 328259\/1337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 3*u + 4637, -j + 4*u + 1153 = 2*u. List the prime factors of j.\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/8*2\/98*14*12\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 19, 6, -11, -32, -57?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 6, -4, 44, 40, -12 in decreasing order.\nAnswer: 44, 40, 6, 2, -4, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 17*v**2 - 19*v + 2. Let q be d(18). Calculate the common denominator of (-8 - -7) + (-115)\/q and 119\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 990 + -185. Let t = u - -1100. What is the hundreds digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/87984 and -193\/24960.\nAnswer: 3519360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -53157?\nAnswer: 53162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7841 = -49*n + 14209. Does 6 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/4*-8 + 6. What is the nearest to -2 in 0.5, -0.2, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 + -21001201?\nAnswer: -21001102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*b = -5*h + 38, -3*h - b + 23 = 0. Suppose -h*z + z = 0. Solve z = -0*m - 4*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2. Let l(x) = -224*x**2 + 77*x**2 - 94*x**2 - 130*x**2 + 28*x**2. Determine s(l(p)).\nAnswer: 117649*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6327, -6335, -6357, -6399, -6467, -6567, -6705, -6887?\n\"Answer: -i**3 - i**2 + 2*i - 6327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -200111 (base 3) to base 12\nAnswer: -357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7 + -10 - (-3 + -15). Suppose z + 2*m - q = 5*m, -z + 21 = -5*m. Solve -z*l = -3*l + 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/91 - 292\/(-42))*567\/(-126).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + u + 0*u)*(2*u**3 - 4*u**3 + 3*u**3) + 8*u**2 - 8*u**2 - 16*u**4.\nAnswer: -17*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 408666252194 - 408666252897.000000999. Let t = y + 703. Round t to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1568 + 5620. Round u to the nearest 100.\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31.5*38\nAnswer: -1197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-45 - -48) + 8 + 1 + -5\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 27\/2 of a milligram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13 + -2?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4106914286982 - 2\nAnswer: 4106914286980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2950762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -6 + 2. Suppose -12 = 22*y - 78. Which is greater: y or b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41832?\nAnswer: 2, 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 761685634.\nAnswer: 2, 59, 163, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 410*l + 400*l - 792*l - 1656 = 0. Calculate the greatest common factor of l and 8878.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from urnvs. What is prob of sequence svs?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.43 - -2.53. Is -0.197 at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-2 - 0 - 2) - -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -o**4\/24 - o**3\/6 + o**2. Let h(i) = 166*i - 661. Let w be h(4). What is p(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -u**6\/180 + 2*u**5\/45 - 5*u**4\/36 + 2*u**3\/9 - u**2 - u. Let k(s) be the first derivative of n(s). Factor k(i).\nAnswer: -2*(i - 2)*(i - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/29, 2, -0.2, 5.41, -1, 310 in descending order.\nAnswer: 310, 5.41, 2, -2\/29, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1004255069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*(-3)\/(-4))\/((-792)\/(-99)*14\/(-56))?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -5, -4\/5, 1\/4, 5.\nAnswer: -5, -4\/5, 1\/4, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27402, 27406, 27412, 27420, 27430, 27442, 27456?\nAnswer: 27472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -660, -668, -682, -702, -728?\nAnswer: -760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 47686*g**3 - 4*g**2 - 7*g + 10. Suppose 0 = -4*z - 5*x + 49, z = 4*x + 4 - 18. Let w be d(z). Round w to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9326 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42574?\nAnswer: 2, 7, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -0*h + 5*h. Suppose 0 = -2*f - 2*b + 4038, -h*f + 1915 = -b - 2129. Suppose 0 = -2*u + l + 1439, 120 + f = 3*u + 2*l. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.05747 (b) -5\/54 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 1951326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186661.\nAnswer: 73, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5*g**2. Let u(s) = 710713*s. What is u(i(q))?\nAnswer: 3553565*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 92 + -35. Calculate the remainder when k is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1894884 a multiple of 1615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1230\/164*(-5)\/((-25)\/(-172)). Suppose 4889 - 987 = 2*k. Let r = m + k. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d. Let a(o) be the second derivative of -18*o + 0 + 1\/3*o**4 + 0*o**2 + 0*o**3. Calculate a(r(g)).\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from jqjj.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 288 divide 78256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -7\/159 (b) 14 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -24, -25, -10, 27, 92?\nAnswer: 191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 135544 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -803.398 - -797. Let f = l + 6.39794783. What is f rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12\/5*m**4 + 3\/5*m**5 + 0*m + 0 - 6\/5*m**2 + 3*m**3.\nAnswer: 3*m**2*(m - 2)*(m - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 8 = -4*o, 3*j + 9 = 3*o - 9. Suppose q + 4*y = 37 + 63, -3*q + o*y = -332. Find the common denominator of 53\/33 and 320\/q - (2 - 1).\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51411037 to the power of 1\/2, to the nearest integer?\nAnswer: 7170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 7)*1 - 297\/(-540)*-36\nAnswer: -74\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -7*s - 75. Let v be k(-13). Suppose -v*y + 9675 = -y. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -160674*s**2 + 3*s - 127992 wrt s.\nAnswer: -321348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -19 + (41 - 49)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -18*v**3. Let r be j(1). Let w = r - -43. Suppose 4*u = 51 + w. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 172, 205, 226, 229, 208?\n\"Answer: -b**3 + 40*b + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2715, 10781, 24195, 42957, 67067, 96525?\nAnswer: 131331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*n = 8, n = -4*g - 4*n - 10. What are the prime factors of g + -2 + 4 + 114?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 231 and 396.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 2*x + 18 = 0, -j + 0*j + 3 = x. Suppose -2*f + j*f - 204 = 0. Suppose -11 + f = 4*n. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -66, -1, 11, 8, -3 in increasing order.\nAnswer: -66, -3, -2, -1, 8, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -616898, -4935223, -16656394, -39481835, -77112970?\n\"Answer: -616904*p**3 + p**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 4\/(-1) + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -28092, -28097, -28104, -28113, -28124?\n\"Answer: -i**2 - 2*i - 28089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*d = -2*d - 144. Suppose 5*z - 78 = 2*w, 2*z - 2*w + d = 3*z. Suppose -3*h - 2*h = -55. Calculate the lowest common multiple of z and h.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -m**4\/4 + 10*m**3 - 149*m**2\/2 + 120*m - 14741. Factor k(t).\nAnswer: -(t - 24)*(t - 5)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -2*u**5\/5 - 7514498*u**4\/5 - 7058463781248*u**3\/5 - 7058456266752*u**2\/5 = 0.\nAnswer: -1878624, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 44963 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-39)\/2015)\/(-9*(-19)\/190).\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ymgmmgjmk. What is prob of picking 1 j and 1 g?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a millisecond in microseconds?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.103 + 0.093. What is the second biggest value in 0.04, 0, q, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l - 157. Let r(f) = 49*f**2 + 31. Determine u(r(k)).\nAnswer: 98*k**2 - 95","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 4*b**3 - 3*b - 4. Let a be u(-2). Let g be (110\/a)\/((-1)\/9). Suppose -g*v + 189 = -30*v. List the prime factors of v.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -401 - -405. Let q = 97\/4 - 24. Which is the nearest to q? (a) -3 (b) -7 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/4 and 125\/114846.\nAnswer: 229692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 3 + 3)*(4*z + 0*z + 0*z + (0 - 1 - 2)*(2*z - 6*z + 3*z)) - 23 + 23 + 5*z**2.\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 29869739 and 0.31?\nAnswer: 9259619.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1496 and 4114?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6111*s = -6110*s + g - 26434, -s = -3*g - 26426. What is the ten thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20380241 is divided by 38.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*a**2 - 8*a**2 + 84 + 10*a**2 + 4*a**2 - 83.\nAnswer: -2*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 82 + -81. Let v = -133\/396 - -5\/44. Which is the nearest to k? (a) 0.5 (b) v (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**4\/7 - 20452*w**3\/7 + 52224138*w**2\/7 + 313979152*w\/7 + 261734560\/7 = 0.\nAnswer: -5, -1, 5116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -21*k**3 - k**2 + 7*k - 2. Give f(-2).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 308, 679, 1062, 1463, 1888, 2343, 2834, 3367?\n\"Answer: w**3 + 364*w - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 2*u + 24 = 4*t, -5*t + 13 = -3*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-6)\/9)*(-16)\/(-60).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-2))\/((-1445)\/(-10404)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -139*r**2 - r. Let k(d) = -279*d**2 - 2*d - 1. Give 2*k(l) - 5*x(l).\nAnswer: 137*l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/5 - (-294)\/15. Suppose 7*f - 3*f + o = 0, -2*r - 17200015 = 3*f. Round r to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1400610 - h - 1400307 - h + (-4*h + 2*h + 0*h)*(-3 - 3 + 5) + 0*h + 2*h - h - 5*h + 3*h + 3*h + 2 - 2 - h + 17*h + 113 - 113 as a + r*h and give a.\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9834378?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -493, -498, -503?\nAnswer: -508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/41 (b) -4 (c) 1\/8 (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -2 (c) -592606\/5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 - 41064*u + 205245.\nAnswer: 3*(u - 13683)*(u - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 573*x**2 + 2897*x + 145. Give n(5).\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (732\/7)\/(((-192)\/(-112))\/6). Let n = x - 364. Factor 0 - 20\/7*c + 4\/7*c**n.\nAnswer: 4*c*(c - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007029 rounded to five dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -1\/5 (c) 5\/4 (d) 13\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - (-24)\/(-10))*20. Let i be (2 + 4)\/(-2) - c. Solve -4*d = 3*z - 28, i*z = 5*d + z - 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -395*b - 12797 = 230*b - 13*b - 66653 for b.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -3\/7, 3\/8, -0.1, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 2*d + 15. Determine w(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 240 - -26727a?\nAnswer: 26750a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/155 in -18, 4, 0, 3\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4514 - 8331 + 4183 + 845*u**2 with respect to u.\nAnswer: 1690*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -97340 - -153719. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -84 - -34. Is (-22210)\/l*(3 - 2\/(-1)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u + 9. Let i be (-7)\/(-28) - (-70)\/8. Let h be j(i). Let s be (2\/4)\/((-3)\/h). Which is the second smallest value? (a) -0.2 (b) 0.5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -82 and 1.11?\nAnswer: -91.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1523, -1531, -1543, -1559?\nAnswer: -1579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 4*r**5\/3 - 266*r**4\/3 - 698*r**3\/3 + 182*r**2 + 138*r = 0.\nAnswer: -3, -1\/2, 0, 1, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 365 + 325. What are the prime factors of x?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5009 at least as big as -5009?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1790, -1, 1, 17 in descending order.\nAnswer: 1790, 17, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1470 and 540.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -45*u**2 - 21*u - 6. Suppose -27 - 99 = -7*o. Let z(y) = -4*y. Let n(m) = o*z(m) - s(m). Let n(l) = 0. Calculate l.\nAnswer: 2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*v + 1 - 1)*(4241 - 273 + 450) to the form h*v + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/54 and -77\/216.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -47 - -1 - (-178 + 154)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-20)*-3*(-5670)\/7938\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*x + 4*b = 17, -17*b + 67 = 5*x. Let d(q) = q**3 + 5*q**2 - 10*q + 2. Give d(x).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005051189 rounded to six dps?\nAnswer: -0.000505","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a meter in centimeters?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44*f**3 - 43*f**2 - f.\nAnswer: f*(f - 1)*(44*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5416443 divided by -3\nAnswer: 1805481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 217\/364 - (4 - (-39)\/(-12))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39449 - 39449 + 9*l**2.\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 239154.690143\nAnswer: -239154.690143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -457 - 140. Let t = 1497 + c. Is t a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63237.31 millennia to decades.\nAnswer: 6323731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35897 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1956 and 366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*l**2 + 34*l**2 + 83*l**5 - 49*l**2 wrt l?\nAnswer: 4980*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 1:02 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.265 + -0.765. Let j = 49 + -48.37. What is the fourth biggest value in 0, j, 0.1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3425\/13860 + 2\/(-8). Let p = -23\/924 + a. Which is smaller: 0 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 9 = x. Let m be 3\/(x\/(-1))*-33. Calculate the greatest common divisor of m and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 - 39. What is the second smallest value in 0, 1, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -64 + 7 + -65 + 71.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.4883859 to two dps.\nAnswer: -20.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p - 1. Let y be q(-1). Let t be (y + 3)\/3 + -2. Is -2*(247\/t - 3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3211 + -12132123222?\nAnswer: -12132120011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.116826095 rounded to four dps?\nAnswer: -0.1168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -184952134 divided by -5?\nAnswer: 184952134\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.24 * 0.0111.\nAnswer: 0.080364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 9 - (2 + -10 + 7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -161\/10 - -78\/5. Which is the nearest to 0.1? (a) -2\/5 (b) -98 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -254.478 + -15.642. Let m = a + 244. Let g = m - -0.52. What is g rounded to zero decimal places?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 + 302 = 3*u. Suppose u = -5*r - 228. What is r rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 25.907427 hours?\nAnswer: 0.154210875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.85802 rounded to two decimal places?\nAnswer: 1.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, h: 1, v: 7, s: 2, g: 4}. Give prob of picking 1 h, 1 v, and 1 s.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.445 or -35\/4?\nAnswer: -35\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 154 - 3429285552.\nAnswer: -3429285398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100011101100111101 + -1?\nAnswer: 1100011101100111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3*sqrt(2) + 2 + 0 + -1)**2.\nAnswer: -6*sqrt(2) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5764 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1844, 2.2, 0.1, 1?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**4 + n**2 - n + 2. Let m(d) = 52*d**5 + 426*d**4 + 896*d**3 + 130*d**2 - 2*d + 4. Let t(a) = -2*j(a) + m(a). Solve t(u) = 0 for u.\nAnswer: -4, -2\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*w = 2. Suppose 2*p + 13052 = 2*s, -5*s = -w*s + p - 19570. Let z = 10824 - s. Round z to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - 6*q - 15. Let t be l(5). Let z = t + 31. What is the remainder when z is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 7374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*p = -126*p + 30 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 5*a - 32. Let l(q) = 7 - a*q + 0*q + 5*q. What is the remainder when l(4) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -4, -3*i = 6*x - 8*x + 888. What is the remainder when x is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18149, 12918, 7687, 2456?\nAnswer: -2775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 = -5*j + f, -f - 28 = -j - 0*f. Let p(y) = -y**3 + 30*y**2 + 65*y - 23. What is the remainder when 26\/2*2 + -1 is divided by p(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.52 + -228082105.\nAnswer: -228082104.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 444840?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of z**6\/120 + z**5\/60 - z**4\/6 - z**3\/2 - z**2. Let b be o(-2). Let f = -34\/15 + 151\/60. Which is greater: b or f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1644 or -11.33?\nAnswer: -11.33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvfpfvvvpvgpvpp. Give prob of sequence vp.\nAnswer: 55\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 4*l**2 - 4*l - 6. Let y be b(5). What is the units digit of y*(-11 + 4\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j = -2*j + 15, 0 = -2*h - 2*j for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -100101000 (base 2) in base 3?\nAnswer: -101222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gw when two letters picked without replacement from zgzwtzewwzz.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 357 and 14025?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26527 or 26530?\nAnswer: 26530","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d - 28. Let l(u) = -7*u - 1. Give i(s) + 3*l(s).\nAnswer: -19*s - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(425)*6*1.\nAnswer: 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101101000000100010111 (base 2) to base 5.\nAnswer: -1403300431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12\/13 or 102.5?\nAnswer: 102.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 28*g + 197. Let i be b(13). Let n(u) be the first derivative of 29 + 0*u**2 + 0*u - 9\/4*u**4 + i*u**3 + 3\/5*u**5. Suppose n(v) = 0. What is v?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (140\/(-24))\/(-7)*(-2)\/(-10)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 5573\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 15 = c, 15 = c - 5*c - 5*p for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 30002 - -302?\nAnswer: 30304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t. Let j(h) = -h**2 - 3*h + 3. Let q be j(-4). Suppose -3*f + 6 = -9*f. Let o be q*(f - -2) - -5. Give d(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3 + 1 = -2*m, -5*m = -j - 13. Let d be ((-30)\/20)\/(m\/(-44)). Suppose -4*t + z + 106 = 3*z, d = t - z. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*z - 35*z + 16*z + (3 + 0 - 4)*(2*z - z + z) - 2*z - z + 2*z to the form r + f*z and give f.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/17 (b) 3 (c) -5\/7 (d) 399155 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*c + 88 + 318. Solve 6*i + c = -10 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 77, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 669227 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3236550 by -1078850.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 367204 and 6.\nAnswer: 1101612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -6*f**2 + 5*f - 13. Let s(m) = 7*m**2 - 4*m + 13. Let v(c) = -6*n(c) - 5*s(c). Suppose -3 = -h - 2*k, 3*h + 4*k - 17 = -0*k. Does 21 divide v(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -29324.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11304 * 14.3.\nAnswer: -161647.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -7*p**3\/3 - 16. Let k(l) be the third derivative of 0*l + 0 - 1\/20*l**5 - 2*l**2 + 0*l**3 + 0*l**4. Give z(k(m)).\nAnswer: -63*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of 771*t**5\/20 - t**4\/12 + 2*t**3\/3 - 139*t**2\/2 + 2*t + 6164. Find the second derivative of u(m) wrt m.\nAnswer: 4626*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 2 (b) 197.2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58 and 81519?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o - 4. Suppose -6 = 3*s, 4*k - s = 222 + 376. Suppose -k*w = -156*w. What is m(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1030813930 to the nearest integer?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 73 + -45. What is the remainder when x is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 6, 5*g + t - 28 = 0. Suppose -1550 = -9*l + 4*l + g*c, -2*l - 5*c = -641. What are the prime factors of l?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 41147, -1 in ascending order.\nAnswer: -1, 0, 41147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 5:49 AM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/15))**50)**(-27)\/((l*l\/(l*l*((l*l\/(l\/l**2)*l)\/l)\/l))\/(l*l**10))**(-37) assuming l is positive.\nAnswer: l**(-301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-355)\/(-165) + (-6)\/(-9) + -3. Which is the third smallest value? (a) p (b) -1.4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*m**2 - 41 + 0*m + 40 + 0*m.\nAnswer: 33*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -31 + 2*r + 14 - 6*r. Let h be s(-9). What is the highest common divisor of 38 and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - 48*u + 657. Let m be -11 - (2 - (3 + 0)). What is the smallest common multiple of g(11) and m\/(-1 - 3\/(-6))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8071 + 11460. Suppose -283 - j = -18*l. Is 37 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 240, 492, 766, 1074, 1428, 1840?\nAnswer: 2322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.017*457\nAnswer: -7.769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*g - 34*g - 1557 = 0. Let t = g - 7. List the prime factors of t.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, x: 4}. Give prob of picking 1 x and 1 q.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**4 + 9*g - g**4 - 2*g**4 + (0*g**2 + g**2 - 5*g**2)*(0*g**2 - g**2 + 2*g**2).\nAnswer: -7*g**4 + 9*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of 5*c**2 + 0 - 5\/6*c**3 + 0*c. Let n(y) = -y - 11. Calculate 3*n(l) - 7*q(l).\nAnswer: -3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3 = -i. Let k(y) = y**2 + 2*y. Let a be k(-3). Suppose -2*j + 2 - a = -p, j = -2*p + 12. Solve -4*b + 5 = -3*b, -b - i = -j*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -d*k*o - 152*d*o + 2*d - 17*k*o - 125*k wrt k.\nAnswer: -d*o - 17*o - 125","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24841500 a multiple of 375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-4) - 3)\/((-3)\/(-6)). Let s(z) = -z**3 - 10*z**2 - 11*z - 9. Let i be s(c). Let l(y) = -y**2 + 9*y + 8. What is l(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (34 - 26) - -10.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 >= -13\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3141394 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*l**3*n**2 - 16907723*l**2*n**2 + 2*l**2 - 498*l*n**2 - 216*n**2 - 112 wrt l?\nAnswer: 36*l*n**2 - 33815446*n**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 458 + -455. Let b(v) = 19*v**2. Let t be b(1). Find the third derivative of -2*n**2 - t*n**3 + f*n**3 + n**2 wrt n.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3812 is divided by 1267.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*t)*(-t**2 + 4*t - 4*t)*(1 - 1 + t - 2).\nAnswer: 2*t**4 - 4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(16)\/(sqrt(4) - (sqrt(24)\/sqrt(6) + sqrt(4)))) + -5)**2.\nAnswer: 10*sqrt(5) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.419 - 2.581. Which is the nearest to 0.2? (a) -0.2 (b) 14\/9 (c) q (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f**2 - f + f)*(2 - 25 + 14) as y*f + k*f**2 + n and give k.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/2 - 20\/(-8). Suppose -i*p - p = -9. Suppose 0 = -p*n + 50 + 25. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -6. Let s(v) = 8. Let x(j) = 6 - 2 - 1. Let n(u) = k*s(u) + 11*x(u). Let t(f) = -2*f + 1. Determine n(l) + t(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + 21. Suppose -2*o = 4*t - c, 0*o + o + 4 = 0. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 - -45. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(2\/59)*z*z)\/(z*z**(1\/11)*z) assuming z is positive.\nAnswer: z**(612\/649)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -0.4 (b) 0.06 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = v - 9. Find the third derivative of 7*c**2 + 8*c**v + 7*c**4 + 3*c**2 - 5*c**2 wrt c.\nAnswer: 168*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/2 - -176) + -2. Let j(b) = -3*b**3 + 87*b**2 - 85*b + 36. Let p be j(28). Calculate the greatest common divisor of l and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 4*t + 14 + 26 = -3*i + 4*i, -t + 53 = -22*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, k: 2, r: 2, f: 1, d: 1}. What is prob of sequence pr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**3 + 1 + 0*s + s - 2214349*s**2 + 2214459*s**2 to r*s + a + i*s**2 + d*s**3 and give i.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4 + 19 = 0. Let i(o) = 152*o - 319*o + 165*o + 3 - 1. Give i(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -2.06 (c) 0.006\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, w: 7, l: 5, u: 2}. Give prob of sequence yl.\nAnswer: 25\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 166*c**2 - 360*c**2 + 299*c**2 + 17 in the form n + p*c + m*c**2 and give n.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 21 + 7 = 0. Let h(d) be the third derivative of 0 + 0*d**5 + 0*d + 0*d**4 + c*d**2 - 2\/3*d**3 + 1\/40*d**6. Differentiate h(j) with respect to j.\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 247042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 123 divided by 89\nAnswer: 123\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -7*r**3\/3 + 2*r**2 + 1008. Calculate w(-3).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -2*d - 8*f + 63, 5*d + 4*f - 154 = 0. Let s be 5\/((-125)\/d)*(-15)\/2. Calculate the highest common factor of 45 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (516\/(-5934))\/(615\/(-115))?\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/20 - 6\/(-10). Sort -4, 2, h in descending order.\nAnswer: 2, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqy when four letters picked without replacement from yyyqyyyyyyvqqvyq.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a**2 + 30051 - 30051.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1078549486?\nAnswer: 2, 7, 11005607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {c: 5, q: 4, h: 4, f: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from lllllllhllllllllll.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*l - 6 = -4*u, l + 2 = u. Suppose 0 = -r - r + 2*j + 134, 0 = 5*r + u*j - 328. Does 17 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38559221\/24 greater than or equal to 1606634?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4d52b + -a?\nAnswer: 4d521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -7*t + 1. Let o(r) = -1. Give -n(a) - 2*o(a).\nAnswer: 7*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 + 41 + (-2 + 0 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 5*y - 27, 82*y + 24 = 86*y + 2*i. Let h be 27\/6*-12 + -1. Let l = 0.2 + 0. Which is the second biggest value? (a) l (b) h (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 - 10*r - 23. Give h(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -57*h**2 + 9*h**2 + 149*h**2 + 264*h**2. Let f(q) = -q**2. Give j(f(a)).\nAnswer: 365*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30319357?\nAnswer: 4283, 7079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/7 and -37\/608?\nAnswer: 4256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a millisecond in microseconds?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 17*v**2 + 18*v + 1. Let h be z(16). Calculate the greatest common divisor of h and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -q**3 - 7*q. Let t(v) = -3*v. Let w(k) = k + 6*k + 0*k. Let s(p) = 5*t(p) + 2*w(p). Calculate s(b(r)).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1344 = -3*i - 3*n, -60*n + 62*n + 2261 = 5*i. Is i a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -31*t**3 + 3*t**2 - 3*t + 1. Determine c(1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a20 (base 16) to base 13.\nAnswer: -1245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 27*i**3 - i**2 + 1. Let y be p(1). Let g = y - 13. Is 11 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -365, -736, -1129, -1550, -2005, -2500, -3041, -3634?\nAnswer: -4285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -4*t**2 + 3*t - 269. Let f(a) = -5*a**2. Calculate u(f(n)).\nAnswer: -100*n**4 - 15*n**2 - 269","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) -5 (b) 5 (c) 1 (d) 27 (e) 64.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8.1? (a) 1 (b) -0.03 (c) 3 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16284700941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211531 is divided by 53?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/(-77) - 120\/(-55). Suppose 5*w + 5*c + 3 + 2 = 0, c = 5*w + 11. Sort k, w, 4, -1.\nAnswer: w, -1, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135216284 is divided by 6655?\nAnswer: 6649","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {f: 1, v: 1, r: 3, l: 9}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 193 = 177. Let h(n) be the third derivative of n**6\/120 + 2*n**5\/15 + n**4\/12 - n**3\/2 + 4*n**2. Calculate h(i).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1877 at most as big as -1889?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13880417 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p - 24 = -2*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-81)*-3)\/(4*7\/(-504)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2880 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 5*n**2 + 2*n - 2. Suppose 0 = 3*w - 3726 + 3741. What is i(w)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than 73638.82097356?\nAnswer: 73638.62097356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1668 = -39*p - 1356 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 512, 581, 436, 77, -496?\n\"Answer: -107*r**2 + 390*r + 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fps when three letters picked without replacement from {b: 1, u: 1, y: 2, s: 4, f: 1, p: 2}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 12*h - 1. Let z be d(1). Find the second derivative of -4 - 8*w - 16*w**2 + w**2 - z*w**2 + 11*w wrt w.\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -11330343133?\nAnswer: -11330343131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 9*r. Let z(x) = 26*x. Let c(v) = 17*q(v) - 6*z(v). What is c(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/240)\/((-4)\/18).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 63215378.1s in weeks?\nAnswer: 104.52278125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -177?\nAnswer: 53.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 21\/4 + 7\/(-28). Let v(u) = 46*u. Let g be v(k). Suppose 12*r = 17*r - g. Calculate the remainder when r is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 2:52 PM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 10:55 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of u**7\/560 + u**6\/160 - 11*u**5\/160 - 3*u**4\/16 - 22*u**2 + u. What is d in x(d) = 0?\nAnswer: -4, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4060 and 980?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -21*w - 26 + 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3715614 and 5250.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -484, -1996, -4700, -8746, -14284?\n\"Answer: -25*s**3 - 446*s**2 + s - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/2391? (a) 3\/2 (b) -5 (c) -4 (d) 0 (e) 106 (f) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*h - 19*h**3 - 11*h**3 - 48*h.\nAnswer: -30*h**3 + 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zhzzzzzlhhllzrlzhlh. Give prob of picking 3 h.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50422.\nAnswer: 2, 17, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 74901, 74889, 74863, 74817, 74745, 74641, 74499, 74313?\n\"Answer: -g**3 - g**2 - 2*g + 74905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -17*w + 1260. Let c(s) = 51*s. Determine a(c(x)).\nAnswer: -867*x + 1260","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4686*k**2 - 5544*k**2 + 9701*k**2.\nAnswer: -529*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 39, 104, 195, 312, 455, 624?\nAnswer: 819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a - 2193*m + 2196*m + 33 = 0, 3*a = 5*m - 14 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of 90*p**2 - 1\/8*p**4 - 3\/2*p**3 + 0*p + 0. Let f(x) = 2*x. Determine j(f(s)).\nAnswer: -6*s - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r - 41*r - 5*r)*((-2*r + 7*r - 3*r)*(3*r + 0*r - 2*r) - 7*r - 8*r**2 + 7*r + (5*r - 4*r + r)*(r + 0*r - 2*r)).\nAnswer: 416*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 18*i + 36*i - 25*i.\nAnswer: -7*i + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 24 - 14. Let o be t\/(-8) + (-110)\/(-40). Suppose 0 = -4*i + o*w + 745, 743 = 4*i - 5*w - 0*w. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**5 - s**4 + s**4 + (-s**2 + s**4 + s**2)*(0*s - 6*s + 5*s) + s**5 + s**5 - 3*s**5 + 3*s**5 - 3*s**5 - 10*s**5 - s**5 - 2*s**5 + 5*s**5)*(11 + 6 - 4).\nAnswer: -117*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -1089*s**3\/2 - 490875*s**2 + 2444543*s\/2 - 759812 = 0.\nAnswer: -904, 41\/33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 8, g: 2, z: 3, b: 3}. Give prob of picking 2 b and 1 x.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*(d**(-7\/2)*d)\/d*d*d**(-22) assuming d is positive.\nAnswer: d**(-47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -u + w, 2*u + 2*w + 3*w - 24 = 0. Suppose u*n = -3*n + 45. Solve n*y - 5 = 4*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 480, 2\/8599, -0.3 in decreasing order.\nAnswer: 480, 0.1, 2\/8599, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (229*o**2 + 1677*o**2 + 472*o**2)*(-7*o**3 + 5*o**3 + 0*o**3).\nAnswer: -4756*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 84 = 2*u, -2*u - 116 = -5*r - 5*u. Let i(y) = -4*y - 7. Calculate the remainder when r is divided by i(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**2 - 384. Let j(a) = -2*a - 5970. Give f(j(t)).\nAnswer: -8*t**2 - 47760*t - 71282184","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26680*a**3*p - 3*a**2*p - a**2 + 5*a*p + 51*a wrt a?\nAnswer: 160080*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 2, 2\/11, -6\/7, 0, 35?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 63830811.\nAnswer: 127661622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**3 - 1848 - 7385 - 16647 + 0*q**3.\nAnswer: 2*q**3 - 25880","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*p + 14*p + 5*p - 17*p.\nAnswer: 17*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 1) + 2 + 0. Suppose 2*j + a*s - 12 = 0, -5*j - 5*s + 25 = -0*j. Suppose -j*d + 19 = 7. Calculate the highest common divisor of 2 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 11, 5 in decreasing order.\nAnswer: 11, 5, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 40009 = -r + 39991, -5*w = -3*r - 64 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 1. Let j = -13 - -15. Let o(n) = -2*n + z - j + 2. Let l(p) = 2*p. Determine o(l(v)).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1555 - 2.287.\nAnswer: 1552.713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2021 (base 3) to base 11.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (13 - 13) - 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -388 - -388. Sort 3, 5, w, -3 in decreasing order.\nAnswer: 5, 3, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from ddvkdkddkpkedddedede.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of 8*y + 6*y**2 + 4 + 4\/3*y**3. Factor a(q).\nAnswer: 4*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-4 - -6)) + 19 - (-19 + (8 - -13))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -970*w**3. Let c be q(-1). Let h = c - 337. Is h\/5 - (-4)\/10 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 234.0533ml to litres.\nAnswer: 0.2340533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -z**4\/4 + 6*z**2 + 7*z - 13. Let v(h) be the first derivative of n(h). Suppose v(a) = 0. Calculate a.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-3\/11)*z)\/((z*z**(5\/6)\/z*z*z)\/z))\/((z**23\/z)\/((z**(-3)\/z)\/z)) assuming z is positive.\nAnswer: z**(-1789\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**2 - a**2 + 5*a**2. Suppose 3*b - 5 = 2*b, 3*b = -2*i + 1205. Let z(t) = i - 595 - 29*t**2. Determine z(f(m)).\nAnswer: -116*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, q: 4, n: 4, b: 1, y: 4, o: 4}. Give prob of picking 1 z and 3 q.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 158\/5 - 1116\/35. Let h = -8\/3 - -3. Which is the nearest to s? (a) -2\/15 (b) h (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43 - 2314?\nAnswer: -2221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 e, and 1 d when three letters picked without replacement from {s: 1, a: 2, y: 2, g: 1, d: 1, e: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 1 + 2 + 7 + -8 + -14.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 12:52 PM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -141965056 divided by -581824?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -954*k**3 - 27556*k**2 - 66013985*k wrt k.\nAnswer: -5724*k - 55112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f*f**(-2\/5))\/f)\/f**(-1\/8))\/(f**12*f\/f**(-1\/6)))**13 assuming f is positive.\nAnswer: f**(-19409\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -37*l - 1 + 41*l - 29. Let d(n) = -2*n. Give d(q(m)).\nAnswer: -8*m + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 3. Let u = 24 + z. What are the prime factors of u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (3 + (-1 + sqrt(448) + sqrt(448) + 0 + 0 - ((sqrt(448) - (0 + sqrt(448)))*-4 - (2*sqrt(448) + -2))))**2.\nAnswer: 7172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c + 11. Let q = 7 + -2. Suppose -4*u - 1 = w, -q*u - 1 = -2*u + w. Let y be f(u). Solve -4*z = -5 - y for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 0*o - 7. Let k = 114198 - 114189. Solve -4*v - k = -5*l, 0 = -2*l + o + 3 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z = -3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1 + (sqrt(528)\/sqrt(432))\/sqrt(4))**2.\nAnswer: -sqrt(11)\/3 + 227\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -571*a - 6850. Let l be t(-12). Determine f so that 14623232\/11 - 416\/11*f**3 + 2\/11*f**4 + 32448\/11*f**l - 1124864\/11*f = 0.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*(j\/(j**(-3)\/j))\/j*j)*j*j)**29)**(-3)\/(j**(2\/21)\/(j**(-4\/9)\/j))**44 assuming j is positive.\nAnswer: j**(12175\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 17.5 times -518\nAnswer: -9065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 54831766 a multiple of 374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/559*-43*23.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -361, -1, 4, -5, -3, 2.\nAnswer: -361, -5, -3, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 5*a + 52, -5 = 4*y - 4*a + 155. Let g be (19\/3)\/(2\/y). Let v be (-4)\/(-18) + g\/(-9). Solve d + 2*d + v = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 7. Suppose -3*a - 3*j + 72 = -s*j, 0 = 2*a - 5*j - 48. Calculate the common denominator of 29\/7 and a\/(-10)*(-2)\/16.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1331?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*(2 + -7 - -4). Which is smaller: l or -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 259, 957, 2105, 3715, 5799, 8369?\n\"Answer: 2*o**3 + 213*o**2 + 45*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -187 (base 15) to base 10\nAnswer: -352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 3 - 2*o - 2)*(4*o - 2 - 4*o - 2*o).\nAnswer: 4*o**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*i**2 + 31*i**2 + 3*i**3 - 48*i**2 - i as q + w*i**2 + o*i + r*i**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 95 = 17*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/16 and -41\/14020.\nAnswer: 56080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 675aba (base 13) to base 9\nAnswer: 4528671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/3*(-2)\/24. Let h = -0.09 - -4.19. Let c = -4 + h. What is the closest to c in s, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 7*h**2 + 14*h - 5. Let c be f(4). Suppose c*w - 91 = 191. Does 7 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 668260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 1, -1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 76 + -62. Suppose 3*h = 10*h - n. Suppose 0 = i + c + 2 - 0, 0 = -i - 4*c - 11. Solve -3 - i = h*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hxxvhhvhhhvvvvh. What is prob of sequence xxh?\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*sqrt(1331) + 1 + 4)*-4.\nAnswer: -24 + 44*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7301 (base 10) in base 8?\nAnswer: 16205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -601 * 0.1\nAnswer: -60.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*o - 151*o - 11*o.\nAnswer: -189*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2354\/321*(-126)\/(-22).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 0) + 1 + -25. Let n = 15 + d. Let p = 3 + n. Let r(a) = a + 4. Let j(y) = -1. Calculate p*j(m) - r(m).\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 11*x - 31. What is m(16)?\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7\/6 - 3. Let r = 12\/41 - -4889\/246. What is the common denominator of d and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k + 90. Give c(26).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 4*d + 50 - 303, -249 = -4*d + 3*n. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (0 + 0 - 2)) + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one twentieth of a gram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + 12. Find the second derivative of f + 3*b**5 + b - 28 wrt b.\nAnswer: 60*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {o: 9, p: 7}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31 and 1395775.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 1930*u - 225807. Give i(117).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(15\/(-12)) - 52. What is the hundreds digit of 175\/6*18\/(-28)*i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1610 + 43498\/27. Let f = 323261\/42 + -7700. What is the common denominator of q and f?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5471549 and 7279.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2849 + 2856 - 5*z**2 - 5705.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21543*t**2 - 12367*t**2 - 26132*t**2 + 12549*t**2 + 6511*t**2.\nAnswer: -40982*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114, -219, -324?\nAnswer: -429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 5*b**2 - b + 1. Let s = -5 - -8. Suppose 2*p = -3*p + 20, -s*t = -p - 35. Calculate the remainder when t is divided by z(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/216 and 23\/22383.\nAnswer: 179064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 598*b - 21 = 591*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 6 = 5*w + o, -2*o - 8 = 0. Let b be -2 + w + (-4)\/(-2). Find the first derivative of b + 0*m - 1 - 2*m wrt m.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264 is divided by 67?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z - 3. Let k(d) = -d**2 - 6*d - 6. Let a be k(-2). Determine q(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001873 rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 807?\nAnswer: 3228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 2:59 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 9429?\nAnswer: -9429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (177 + (-1 - 0))*2\/(-4). Let r = 104 + v. What is the greatest common factor of 16 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -350 - -359. What is the lowest common multiple of h and 15?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/6*18\/(-12)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2352 and 1053?\nAnswer: 825552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -780, -774, -764, -750, -732?\nAnswer: -710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -463*v + 463*v + v**2. Let g(m) = 16*m**2. Determine u(g(t)).\nAnswer: 256*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*q**3 + 5*q**3 + 4*q**3 + (-2*q**2 - 2*q**2 + 3*q**2)*(-4 + 4 - 4*q).\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 108119761?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2635450?\nAnswer: 2, 5, 52709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.4 + -1.34. Let z = s + -0.56. Let r be (-190)\/(-45) + (1 + -4 - 1). Which is the closest to -1? (a) z (b) r (c) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/9)\/(7\/(1386\/176)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7841246 kilometers to nanometers.\nAnswer: 784124600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-345)\/46)\/(3\/1*2)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 3:08 PM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(3\/(-1298))*3\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 187 (base 16) to base 12\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 2 + 2)*(4817 + 6075 - 13208)*(-3 - 1 + 5).\nAnswer: -4632*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = s - 31, -2*s + 2*w - 11 = -81. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 33*o + 232. Let c be z(-10). What is the third derivative of 296*d**5 + c - 350*d**5 - 32*d - 2 - d**2 wrt d?\nAnswer: -3240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 r when two letters picked without replacement from kkrk?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*u = 0, 3*i = 2*i - 3*u + 5. Let o = -201\/646 - -7\/34. Is o bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -4*w + 1\/12*w**4 + 0 + w**2 + 0*w**3. Let p(k) = 2*k**2 + 5. Determine -5*h(m) + 2*p(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1150619 (base 10) to base 5.\nAnswer: -243304434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 68*r**2 + 371289*r\/10 + 2457\/5.\nAnswer: (r + 546)*(680*r + 9)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -74*p - 52*p + 378. Sort 0, -4, -111, p.\nAnswer: -111, -4, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80238034 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 596.7233um in kilometers?\nAnswer: 0.0000005967233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 277*v**2 + 92*v**2 + 268*v**2 to the form q*v + r*v**2 + y and give r.\nAnswer: 637","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a gram in milligrams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven fifteenths of a day?\nAnswer: 40320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 3)*((1 + 2*h**3 - 1)*(2 - 3 + 3) - 2*h**3 - 2*h**3 + 3*h**3).\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3 - 124*l**2 + 234*l + 360.\nAnswer: 2*(l - 60)*(l - 3)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -u + 4, -5*n + u + 63 = 0. What is the second derivative of -18*x + 3*x + 23*x**4 - n*x wrt x?\nAnswer: 276*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q - 230 + 241 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 2*z - 3. Let j be r(2). Suppose -5*s + 3*s + 96 = v, j*s + 20 = 0. Calculate the greatest common factor of 26 and v.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 2009 = -0*f. Is (-30)\/(-15) + (f - 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -1587.4849\nAnswer: -1592.4849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 7*h - 9. Let g be a(-7). Let z = -2 - g. What is the remainder when 25 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 60*w - 1516890 = -572440. What is the ten thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 - -26.8. Let i = z + 4.5. Sort 5\/4, 0.3, i, 3\/2.\nAnswer: 0.3, 5\/4, i, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + 14)\/(280\/30 + -9). Let p be (-245)\/o + 6 + 68\/24. Find y such that -2\/13*y**2 - 2\/13*y**p + 0*y + 2\/13*y**5 + 2\/13*y**4 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, -6\/127, -0.8, 0.1, -0.4 in increasing order.\nAnswer: -51, -0.8, -0.4, -6\/127, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 4*(-4 + sqrt(245) + -2 + sqrt(245)*2*2 + 1))**2.\nAnswer: -4480*sqrt(5) + 98256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 31?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -51*o**2 + 108*o**2 - 51*o**2 in the form i*o + z*o**2 + r and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3304169 is divided by 2612?\nAnswer: 2601","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6405, 12808, 19207, 25602?\n\"Answer: -2*k**2 + 6409*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -1. Let x(k) = 5*k. Let n be x(-2). Let c = n - -12. Solve c*l = -0*l - a*u + 2, -2 = -l - 2*u for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2 + 27*i - 470. Let s be r(10). Solve -8*f + 19*f - 66 = s for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 34*j**2 + 207*j + 32. Determine d(8).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by 418061.\nAnswer: -22\/418061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22000938?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 108 and -752156.\nAnswer: -81232848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24687 + 24687 - 297*g)*(-g - 9*g + g + 2).\nAnswer: 2673*g**2 - 594*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -714*k + 708*k + 42 = 0 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.6 + -3. Let s = -37 + 34.9. Let j = 2 + s. Which is the second biggest value? (a) j (b) k (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 9*c**2 - 5*c - 125. Give u(-8).\nAnswer: 491","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26091 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2709 and 175.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + b + 4*b + 4*b - 5*b + 2*b + 3*b + b - 6*b + (2*b + 0*b - 4*b)*(-2 - 1 + 4))*(4*b**3 - 4*b**3 - 2*b**4) + 0*b**2 + 0*b**2 - b**5.\nAnswer: -5*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2790769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 - x**2 + 1 - 6388*x + 11950*x - 6135*x.\nAnswer: -2*x**2 - 573*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169 - 130 = 3*s. Solve -8*g - 25 = -s*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 913 is divided by 220?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v**2 - v**3 + 11*v**2 + 4*v**3 + 3 - 3 in the form h + s*v**2 + j*v + t*v**3 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 33 and 8?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 4*k - 4. Suppose 4*v - 5*a = 61, 0*v = -v - a + 4. Suppose v + 15 = -4*r. List the prime factors of h(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7771 + -7685. Solve 84*u = r*u + 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -68932309 - -1.807\nAnswer: -68932307.193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c. Let k(l) = 2*l + 3. Let i(o) = -19*o - 11. Let h(y) = i(y) + 4*k(y). Give g(h(s)).\nAnswer: 22*s - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -133401.97 + 609.3.\nAnswer: -132792.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.2 (b) -1 (c) 4 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -8*i + 66. Let a be u(6). Suppose 3*w = 3*b + a, 2*w - 1 = 3*b + 8. What is the highest common divisor of 18 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -1329.05 + 1329. Which is the second biggest value? (a) 0.04 (b) 2 (c) v (d) -0.2 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -125056?\nAnswer: -125054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*r**3 - 1317*r**2 + 0*r**3 + 2*r + 4 + 1313*r**2 to the form t + x*r**2 + l*r**3 + u*r and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/5 - 70\/(-25). Let n be (4\/q)\/((-4)\/(-132)). Calculate the greatest common divisor of n and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -337573*t - 35*t**2 + 337573*t + 36*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 215917344 and 143944896.\nAnswer: 431834688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/6)\/(37\/(-666)). Does 7 divide (6\/l + -2)\/(1\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13.8042 - -13.93. Let r = y + -49.2058. Let h = r - -50. Round h to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 14*n**2 - 37*n + 106. Give g(16).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 1:58 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 76)*(6*q + q - 3*q)*(0 - 6 - 2)*(-1 + 3 - 3).\nAnswer: -2304*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 9. Suppose -5*d + 5*m = -45, 3*d + q*m = 2*d - 9. Suppose -3*t + 3 = 0, 4*t - 5 - 9 = -2*f. Solve -3*c + f*c = -d for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 3*w**4 + 31737*w**3 + 84142377*w**2 + 1088873847*w + 1004763204 = 0.\nAnswer: -5283, -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 684582 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003103 to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1292603 is divided by 10862.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 316 = -16*q. Which is smaller: q or -55\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-9) - 570004\/3. Round t to the nearest ten thousand.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/6 - 6\/(-12) - -453. Suppose 4*i - a = -6*v + 3*v, 3 = -i. What are the prime factors of v?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.11208 - 536703215.\nAnswer: -536703214.88792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1250941 and 0.2.\nAnswer: -1250940.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 14.9. Let v = u + -1. Let g = -2.1 + v. What is the nearest to g in -4, 3, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 5*d**2 + 65*d + 129. Give k(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -60*b**4*o**2 + 8*b**4 - 4*o**2 + 6364*o with respect to b.\nAnswer: -240*b**3*o**2 + 32*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3586057182?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12887 - 10140. Calculate the greatest common divisor of 67 and l.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = l + g - 2, -2*l = 4*g + 4. Which is smaller: 7 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2531*b*f**2 - 31*b*f + 12096599*b + 3*f**2 + 2*f - 2 wrt f?\nAnswer: -5062*b*f - 31*b + 6*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -6 + 12 + -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -211.41 + 214.41. Put 13\/7, i, -0.06, -2 in increasing order.\nAnswer: -2, -0.06, 13\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 11) to base 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 4077076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 777180 + 13?\nAnswer: 777203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/109 and -79\/654?\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6925*k = 4833*k + 3179*k - 1717755 for k.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -87*(-28 - 850\/(-30)) - (-11 - -2).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -t - 10, -5*n + 5*t = -10*n + 70. Suppose n = -2*y + 4*y. What is the remainder when 22 is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + r = 9. What is the smallest common multiple of r and 11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 16.8, -55, 6?\nAnswer: 16.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/(-6) + 3 + 330\/(-9). Let n be 17\/6 - 6\/w. Suppose 50 + 7 = n*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3314341815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -91\/4 - -23. Which is the second biggest value? (a) 0.12 (b) 1\/5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4282573415 to the nearest integer?\nAnswer: 1624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 69665 at most 348331\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 40*b**2 + 2*b + 10. Let t be i(-5). What is t rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1445 and 16662295.\nAnswer: 1445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 + 37. Suppose -2*l + 7 = 2*f - h*l, 1 = l. Let c be 5 + (f - (-2 - -4)). Solve -2*m = -c*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 160557781\/29994 + (2 - 3). Let t = z + 850\/4999. Let d = -5366 + t. Find the common denominator of 16\/5 and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-20)\/12)\/((-2)\/(-6)). Let j = 8 + s. Solve 0 = v + 1 + j for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-5)\/(-10))\/(21\/(-6)))\/(30\/385)\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24257, 24233, 24209, 24185, 24161, 24137?\nAnswer: 24113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from rrroooojojjojjojo?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -100021002?\nAnswer: 100020222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 862 - 861. Put -20, 5, 0, l in descending order.\nAnswer: 5, l, 0, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - 0. Which is the nearest to 1\/2? (a) 4 (b) l (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 2*u - 375. Suppose 61 = 2*v - 181. Let i = v + u. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 9*n + 1. Let d(v) = 24*v**2. Calculate d(q(x)).\nAnswer: 1944*x**2 + 432*x + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**3 + 32380*a**2 - 32380*a**2 + 28 - a)*(2*a - 3*a + 2*a)*(4*a - 4*a - a).\nAnswer: -a**5 + a**3 - 28*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-18 - (-2014)\/114) - -91.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*i + 6 - 51 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25822 - 34151 = -3844*r + 47800 + 43815 for r.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 2*f. Let q(v) = 70*v**3 - 10*v - 288. Let m(x) = q(x) - 5*y(x). What is the first derivative of m(g) wrt g?\nAnswer: 195*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 2) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3*r - 91, 2*r - 5*v - 110 = -3*r. Suppose 18*m + r*m - 90 = 0. Solve -2*n + 3*l - 9 = -m, 0 = -2*n - l + 13 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 2:41 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12512296*i**2 - 19954*i**3 + 12512296*i**2.\nAnswer: -19954*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17 - 30 - 73*n + 47 + (0 + 2 - 5)*(-3*n + 0*n + 4*n).\nAnswer: -76*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 223000952 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - 20.1. Which is the second smallest value? (a) p (b) 1\/3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of 4*i**3\/3 + 3*i**2 - 5. What is the second derivative of p(t) wrt t?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 411330 is divided by 220.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -38. Let v = t + 216. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 598 and 8554.\nAnswer: 196742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 597 - 416. Suppose -30 = -r*m + 187*m. Let v = 190 + -1328\/7. Which is the third biggest value? (a) 1\/7 (b) -1\/5 (c) v (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.72 + 0.62. Which is the nearest to o? (a) -1 (b) -5 (c) -2 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9309127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 2*b - 4, -2*b = -i - 7 + 15. Let f be (-42)\/(-24) - (-1)\/i. Find the first derivative of -6*g**2 + 3*g**f - 12*g**2 + 9 + 2*g**2 wrt g.\nAnswer: -26*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24522634?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7213398 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l**2 - 93*l + 556. Calculate z(6).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-3)\/a**(-17) assuming a is positive.\nAnswer: a**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a millennium in years?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 7 + 1 = 0. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 2\/11, 6, -0.2, 789, 0 in descending order.\nAnswer: 789, 19, 6, 2\/11, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)\/sqrt(3))\/sqrt(2) + ((sqrt(70) + (sqrt(70) - 2*sqrt(70)))*3)\/sqrt(10))**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 630 - 341. Let q = v + -101. Calculate the smallest common multiple of q and 8.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1452, 1457, 1462, 1467, 1472?\nAnswer: 1477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3439 + 9052. What are the prime factors of u?\nAnswer: 12491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of k**4\/4 + 4*k**3\/3 - 5*k**2\/2 - 6*k + 38. Give n(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -470 (b) 4 (c) 0.01 (d) 0.1 (e) 9 (f) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*u - 19*u - 186*u.\nAnswer: -328*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 124614 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 5, 13\/8, -706, -20 in ascending order.\nAnswer: -706, -20, 4\/5, 13\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7\/1 - (0 + -1). Suppose 0 = 3*n + 15, 0 = r - 3*n - o - 27. Suppose -4*d - 9*d = -260. What is the highest common factor of d and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-1\/24)*a**(-21)*(a\/((a\/(a**(-1\/39)*a))\/a))**(16\/3))**(-1\/27) assuming a is positive.\nAnswer: a**(8825\/25272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -971.94136 - -972. What is r rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9504*z**2 + 484707*z + 153 = 0 for z.\nAnswer: -51, -1\/3168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -j**8\/504 - j**7\/105 - j**6\/60 - j**5\/90 - j**3 - 6. Let y(l) be the third derivative of o(l). Factor y(t).\nAnswer: -2*t*(t + 1)**2*(5*t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of o**3\/6 + 3*o**2\/2 + 2*o. Let j be p(5). What is the greatest common factor of j and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ztkat. What is prob of picking 3 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 65*u**3 - 420*u**2 - 11975*u + 5610.\nAnswer: 5*(u - 17)*(u + 11)*(13*u - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -1000010011001?\nAnswer: -1000010010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 284*i = j + 576*i - 293*i - 23, -5*j - 3*i - 45 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 0*w**6 + 0*w**5 + 38\/3*w**3 - 20 + 40\/7*w**7 + 0*w**4 + 0*w**2 + 0*w. Find the third derivative of s(m) wrt m.\nAnswer: 4800*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2262027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-12) - -1)\/(36\/96). Suppose 0 = q + 4 - c. Is -3 - -111*(-2)\/q a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 739 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: Solve 0 = 15*d - 10*d - 3*x + 9, -4*d - x = 14 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 + 39 + 53 + 30*a - 92.\nAnswer: 30*a + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 476133?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 517392759 and 1209?\nAnswer: 1209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3697\/9 + 411. What is the nearest to 30 in -0.2, 1, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6 + 64. Let x = w - 63. Which is the smallest value? (a) 0.3 (b) 5 (c) x (d) -2\/43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 76437?\nAnswer: -76435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*v = -2*k + 1, -4*k = -v - 9. Suppose -k*b = 2*b - 12. Suppose -3*p + b*n = 12, 3*p + 0*p + 12 = 5*n. What is the nearest to -1\/4 in -0.1, -1, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.04456, 2, 4, -1, 8\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-12)*48\/108. Which is the smallest value? (a) -2\/3 (b) -10 (c) x (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22 + 26 + 3*c - c)*(4 + 1 - 2) as f*c + x and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -57329, -57311, -57293, -57275, -57257, -57239?\n\"Answer: 18*p - 57347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 597\/33 + ((-72)\/(-99))\/(-8). Solve 9*w + 0 = y for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 114, 195, 276, 339?\nAnswer: 366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -902*x + 900*x = -4*n - 6, 5*n - x + 18 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1500 and 1950?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2725266527?\nAnswer: 23, 118489849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 q when two letters picked without replacement from {p: 4, q: 10, v: 4, u: 2}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19\/6 in -0.3, 1\/10, 3, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*sqrt(1539) + -5 + -1 + -1 + (sqrt(1539) - (sqrt(1539) + -1 + 4 + sqrt(1539))))**2.\nAnswer: 360*sqrt(19) + 6257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45 - 43. Suppose -2*s = g*s - 352. Suppose -s = -p - p. List the prime factors of p.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1219 and -237.\nAnswer: -288903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 88*v + 89. What are the prime factors of p(2)?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - a**2 + 2. Let g be u(0). Let s(n) = -8*n - 2. Let w be s(g). Let m = -13 + w. What is m rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63361?\nAnswer: 63361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 32 = 6*d, -19*d + 23*d = 4*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z**3 - 13*z + 4. Let g(v) = -2*v**3 + 12*v - 3. Give 3*d(r) + 4*g(r).\nAnswer: r**3 + 9*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z - 2 = 14*z. Solve -3*y + z = -f + 4, -2*f - 2*y = 2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 + 0)*(0*q + 0*q - 2*q)*(0*q**3 - 5*q**3 + 8*q**3) as p*q + x*q**4 + n + s*q**3 + r*q**2 and give x.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence id when two letters picked without replacement from {i: 1, d: 2, y: 2, q: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1471915 to the power of 1\/3, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrvrrrrvrn. Give prob of sequence rrr.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 12689170*v. Let p(q) = -4*q**2. Give p(g(c)).\nAnswer: -644060141155600*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2893? (a) -3\/5 (b) -0.3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 18957 - 2*k**2 - 18957 + 3232*k + k**2 in the form i + c*k + n*k**2 and give c.\nAnswer: 3232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 140\/3*(-18)\/(-12). Suppose -t = b - 47, 4*t - u = -3*b + 116. Calculate the remainder when t is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 0 = 4. Suppose 2*l - 4*a - 10 = -2, 8 = 3*l - v*a. Suppose -b + 78 = l*b. List the prime factors of b.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 558\/5 - 111. Put m, -5, 0 in decreasing order.\nAnswer: m, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126 and 2828.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, 17571, 0.4 in decreasing order.\nAnswer: 17571, 0.4, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (84\/70)\/(30\/16). Which is smaller: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*z**2 - 6*z**4 - 20*z**4 - 24 + 24 wrt z?\nAnswer: -624*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1338*m + 1003*m - 2322*m.\nAnswer: 19*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13803*k**4 - 4*k**2 + 4*k - 81?\nAnswer: -331272*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*y - 4*d + 18, 0 = -2*y + 2*d + 12. Is y <= 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yjd when three letters picked without replacement from yjyjjyyyyydd.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l - 30 = 12 + 18. Solve 0 = -5*x + l*i, -3*i - 2 = 73*x - 75*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 413579194 and 4427.\nAnswer: 4427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 707405 is divided by 235800?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 - 8 = h, 5*w - 2222 = -559*h - 15079 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -3*f + 1542, -2087 + 561 = 5*a + f. Let q = a - -303. Let i(n) = n**3 + 2*n**2 - 2*n. Give i(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 25*y**4\/3 - 15*y**3\/2 + 2*y**2\/3 = 0?\nAnswer: 0, 1\/10, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1)*i)\/i)**(2\/5)\/((i*i*i**1*i)\/i**(6\/5)) assuming i is positive.\nAnswer: i**(-16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n - 6. Let g be r(-11). Solve 0 = -4*x + g*d - 33, d = 5 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10156.35 - 10157. Let v = -12.4 - -11.89. Let b = v + s. Round b to 1 decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1100\/2310*5\/200*3\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89331017?\nAnswer: 89331017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3543?\nAnswer: 3, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 295.61 - 297. Let t = i + 1.36. Let p be (2\/(-8))\/(45\/60). Which is the nearest to -1? (a) 5 (b) t (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -84744, -169445, -254146?\nAnswer: -338847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 4396632530?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-6 - -6 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/300)\/(12\/216)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 = -78*v - 1638 for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/65)\/(2\/10*-7)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 3483387948?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153258 is divided by 19129?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -16116.\nAnswer: 1\/8058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*n**2 - 21 + 21.\nAnswer: -51*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 3:51 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -24, -11.3, -3.4?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -808 + 770 - (-29 - -1) - 14.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from obbobbbbbbboobob. Give prob of picking 3 o.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + 0)\/3 - -2. Suppose 5*a + 62 + 48 = q, 0 = -l*a - 15. Suppose 4*i = -2*d + 44, 5*d - 2*i - q = 61. Calculate the remainder when d is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from pddzfdyzywyypyy.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**2*o*o*o)**(-2\/167)\/(o*o**(-1))**(-39) assuming o is positive.\nAnswer: o**(-12\/167)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.076 and -4877?\nAnswer: -370.652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-9900)\/29040)\/(4\/(-28) - 69\/252)\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*f = -82*f + 103. Which is greater: f or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2. Let c(k) be the second derivative of -5\/3*k**4 - 15*k + 1\/6*k**3 + 0*k**2 + 1. What is d(c(l))?\nAnswer: -400*l**4 + 40*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 2284?\nAnswer: 2280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4*v + 20 = 0, -4*u = -v + 3*v + 10. Which is greater: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -204*z**2 - 1318*z**2 - 206*z**2 + 316*z**2 - 1410*z**2.\nAnswer: -2822*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w\/w**(-3)*w)\/w)*w\/(((w\/(w**0*w))\/w)\/w)*w)**26 assuming w is positive.\nAnswer: w**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 12 = -3*n, 2*z - 3*n + 12 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 733898?\nAnswer: 2, 11, 33359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -53 smaller than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 79500391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/4)\/(7\/112*8)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 218, 199, 168, 125, 70, 3, -76?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -5\/4. Put m, 4, -5\/2 in descending order.\nAnswer: 4, m, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*b**4 - 148035*b**3 + 275647944*b**2 + 120762695460*b - 20134772112 = 0 for b.\nAnswer: -364, 1\/6, 4294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 30 = 2*b. Let w be 1\/(-5) + 510\/50. Calculate the greatest common divisor of b and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4865 and 1135.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/(5\/(13 + -18)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 119694*a - 2305. Is s(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12\/(-5))\/((-13)\/845). Suppose -b = -2*p + 26. List the prime factors of ((-52)\/p)\/((-2)\/91).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 660623.\nAnswer: 59, 11197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 1. Suppose 4*l - 9 = 3*v, 2*v = -3*v + 25. Let n(j) = -9*j + 13. Let p(z) = l*x(z) - n(z). Find the first derivative of p(k) wrt k.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t**3 + 16*t**2 + 4*t - 2683. Let b(r) = -4*r**3 + 24*r**2 + 6*r - 2684. Determine -2*b(l) + 3*d(l).\nAnswer: -l**3 - 2681","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5801 - -765. Let p = 5033.5956 + y. Let f = p + 2.4. What is f rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttgttttgtgtttttt. What is prob of sequence tg?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 1. Suppose -6*c = -x*c. Suppose -2*r + 4 = -c*r. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/6*144\/160*(-24)\/(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17038?\nAnswer: 2, 7, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14386325 or 14386328?\nAnswer: 14386325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 406 at least 12.0048?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 66*b**2 - 608*b + 233. Give l(55).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, d: 1}. Give prob of picking 3 o.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8 - 15)\/(2\/(-30)). Suppose -y = -2*t - 3*t. Let o = t + -29. Which is smaller: o or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 6224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c - 2. Suppose -3*n = 3, 33 = -3*b + 7*b - n. Determine r(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j**2 - 71*j - 28. Let c be b(24). Let f(t) = -9*t. Let h(k) = k. What is c*f(p) - 20*h(p)?\nAnswer: 16*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*n = -138 + 90. Suppose 7*w + 5*i = 2*w + 35, -n*i = -3*w - 4. Determine q so that 1\/2*q**w + q - 1\/2*q**3 + 0 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*c**6 + 112*c**4 - 3476*c**2 wrt c.\nAnswer: 720*c**3 + 2688*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*g = -19*g - 270. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-8)*0)\/(-1). Suppose 0 = 5*r - o*r + 5. Let a = 2 - 3. Is a > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - -1) + (113 - 91)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 216\/48*(41\/9 - -3)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4777 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/684 and 7\/12744?\nAnswer: 242136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (1\/5 - (-1620)\/(-225)) + 0 + 6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -137.\nAnswer: -5\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5379894 or 5379908?\nAnswer: 5379908","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 7. Factor -5 - 3 - h + t + h**2 + 4.\nAnswer: (h - 2)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -45*d + 55. What is p(8)?\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93.08442 grams to milligrams.\nAnswer: 93084.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63 - -66. Suppose -4*l - 2*i - y*i - 4 = 0, i = -4. Suppose -26 = -3*d - l*k, k = 3*d - 3 - 28. Solve r - d = -r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -15*m**3 - 3 + 4 + 16*m**3 - 3. Let i(g) = -4*g**3 - g**2 + 7. Let r(f) = f**3 - 5*f**2 + 2*f - 3. Let v be r(5). Calculate v*w(p) + 2*i(p).\nAnswer: -p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o - 7*z + 305, 4*o - 117*z - 112*z - 223 = -234*z for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -30*h - 163. Suppose 3*x = -3*b + 718 - 76, -2*x + 431 = b. What is the remainder when x is divided by u(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 16) to base 8\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7417 + 7876 = -27*q for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/6218 in 0, -520, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/71 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27899026 + -27899672.997932. Let h = c - -647. Round h to four dps.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**2 - 38*h + 165. Let w be c(13). Let i(j) = -j**3 + 9*j**2 + 19. What is i(w)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4766 + -1719. Calculate the greatest common factor of h and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/111680 and -59\/80.\nAnswer: 111680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*g - 10 + 5 = 0, 2*u + 37 = g. Let n = 67 + u. Does 23 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*s**3 - 19*s + 78 - 78.\nAnswer: 9*s**3 - 19*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23230 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -606 + 5531. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-6\/7))**(2\/65) assuming z is positive.\nAnswer: z**(-12\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4\/5*b**2 + 0*b - 2\/5*b**3 = 0. Calculate b.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56525579?\nAnswer: 11, 73, 70393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.983 - 0.017. Which is the second biggest value? (a) -0.1 (b) x (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -60, -27 in descending order.\nAnswer: 2, 1, -27, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 45312.\nAnswer: 45312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 4*j**3 + 4*j**2. Let y(q) = -12*q**3 - 13*q**2. Let k be 44\/8*1*8\/22. Determine k*y(v) + 7*t(v).\nAnswer: 4*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -58 or -56?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 v when two letters picked without replacement from {v: 2, n: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*m**2 + 139*m**2 + 4582 - 4664.\nAnswer: -3*m**2 - 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(252) + sqrt(252) + 2 + sqrt(252) + -1))**2.\nAnswer: 900*sqrt(7) + 56725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 96\/(-10) - 2\/5. Does 16 divide (-532)\/(-20) + (-4)\/n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p - 4. Let j be o(10). Let f be (j\/6)\/((-3)\/(-18)). Suppose -w + f = 3. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1626 and -0.0262.\nAnswer: -0.00426012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 63305\/6 - 380153\/42. Let t = o - 1499. Let w = -123\/715 + 1\/55. What is the third smallest value in w, 3\/5, t, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 4*l**2 - l. Let m be u(-4). Suppose 2*z - k = -2*z + 45, -42 = -m*z - 2*k. What is the highest common divisor of 99 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 126\/11*q**2 - 2\/11*q**3 + 450\/11*q - 2\/11*q**4 + 324\/11 = 0. Calculate q.\nAnswer: -6, -3, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 951 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 - -22. Let t be (-3 - (-381)\/(-15)) + a\/(-15). Let l be t\/12*-3 - -4. Let r(x) = 5*x**2 - x - 1. Let m(q) = q**2. What is l*m(p) - 2*r(p)?\nAnswer: p**2 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 831 divide 32003472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/39392185 and -69\/139195.\nAnswer: 39392185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -7*g**3 - 6*g**2 + 4*g. Let h(s) = -2*s**3 + s**2 - s. Calculate 6*h(p) + i(p).\nAnswer: -19*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -692 - -1058. Suppose -5*b + a = 46. Suppose o = -2*g - 0*o + 39, 0 = -2*g + 4*o + b. Solve 5*i + 5 = -5*v, 0 = 4*i - 4*v + g - 58 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 23*v**2 + 21*v - 41. Calculate the remainder when r(-24) is divided by (-4)\/10 - (-68)\/20.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -89, -138, -189, -242, -297?\nAnswer: -354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20183096 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/(-16)*24\/36?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**5 + 3*q**5 - 10*q**5 + (-3*q**5 + 2*q**5 + 3*q**5)*(5 - 2 - 1) + 4*q**5 - 6*q**5 + 3*q**5.\nAnswer: q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2258 > 2257?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/13455759 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111 + 3?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*d + 634 = 3238. What is the remainder when 524 is divided by d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 0 (c) 1\/154 (d) 155\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 107226042?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34271?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 74, 154, 236, 320, 406, 494, 584?\n\"Answer: l**2 + 77*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 6\/280591?\nAnswer: 6\/280591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + 0.9. Let d = 1 + p. Let j = 1.946 - d. What is j rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6, 39, 94, 171?\n\"Answer: 11*p**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-10))\/(81\/5670).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/60 and -13\/2170.\nAnswer: 13020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of -d**5\/120 + 241*d**4\/48 + 2*d**2 - 9*d + 2. Factor x(g).\nAnswer: -g*(g - 241)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 113598, 909048, 3068116, 7272612, 14204346, 24545128?\n\"Answer: 113635*s**3 - s**2 + 8*s - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2139, -4022, -5405, -6048, -5711, -4154?\nAnswer: -1137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 6 + 17 + -7?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/18 + ((-11)\/3 - -3). Which is the nearest to 2\/7? (a) -3 (b) z (c) 2\/5 (d) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 5*i**2 - 6*i - 8. Let y(j) be the second derivative of j**4\/12 - j**3\/6 - j**2\/2 + 2*j - 81. Give v(a) - 6*y(a).\nAnswer: -a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 0 + (-53 + 59 - 13).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-46 - 1)*(8 - 6). Let r = j + 171. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/5097 or -1?\nAnswer: -2\/5097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 5*a**2 + 8*a - 9. Let w be i(6). Suppose v - w*g = 21, 0*g = 4*g - 4. Let u = v - 14. What is the smallest common multiple of u and 7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -359 + 808. Let d be (-4 + 1)\/(4 + -1 - 4). Suppose -c - 100 = -r + 3*c, d*c + y = 5*r. Calculate the greatest common divisor of r and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o = 8*o + 11. Calculate the remainder when 32 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2879 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: Is 14837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a - 2 = 7*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 1118928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -y**4\/4 - 8*y**3\/3 - 2*y**2 - 14*y - 27. What is the remainder when 429 is divided by j(-8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 171, -3\/7, -181, 5, -2 in ascending order.\nAnswer: -181, -2, -3\/7, 5, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 58*u**2 - 247*u - 62. Let b be m(51). What is the highest common divisor of b and 152?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15837*d - 18319?\nAnswer: 15837","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/3619 and 39\/658?\nAnswer: 7238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3 - 9. Let f(y) be the second derivative of 0 + 1\/21*y**4 - 1\/70*y**5 - 1\/21*y**q - y + 0*y**2. Suppose f(m) = 0. Calculate m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 6:58 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**6*h)\/(h\/(h*h\/(h\/(h*h**0)))))**5 assuming h is positive.\nAnswer: h**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*x - 2208 = -103*x. Is 6 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263*q = 3*z + 259*q + 37, 10*z = 4*q - 30 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*w**2 - 374*w + 9*w**2 + 338*w)*(2*w - 9*w - 2*w) as d*w**3 + i*w + k*w**2 + z and give k.\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**2 - 5*p**2 - 14*p**2)*(-2 + 5 - 2)*(-2 - 3*p + 2)*(-2 + 2 + 4*p).\nAnswer: 192*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2 + -4*(sqrt(396) + 2*sqrt(396)) + sqrt(396) + sqrt(396)*1 + -3.\nAnswer: -60*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 <= 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5457 and 17655.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 2\/975?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -321 - 2310. Round n to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 214160 and 320?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -7*n**2 - 3*n + 15*n**2 + 3*n. Let f(a) be the second derivative of -a**3\/6 + a. What is j(f(t))?\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/8*(-4 + 2). Let n be i\/4 + 19\/4. Suppose j - 2*j - 37 = -l, -3*j = 3*l - 93. Solve -l = -n*h - 3*m, 4*m - 20 = -h - m for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 46\/10*105\/3. Suppose -154 - t = -5*f. Does 7 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59 - -6 - (-1124 + 1091).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*n + 4*w, 1 = -5*n + w - 11. Let f be 3\/((-15)\/(-65)) - n\/(-1). Let d be -2 - (f + 3)\/(-2). Solve 14 = d*g + 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/71 and -85\/46.\nAnswer: 3266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10086 = -680*b - 14166 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 102*k**2*p**3 + 458*k**2*p**2 + 3*k**2*p - k**2 - 12*k*p**3 - 2*k*p**2 + 6*k - 85093*p**3 + 12*p**2 wrt p.\nAnswer: 612*k**2 - 72*k - 510558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 14) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4060 - -193. List the prime factors of j.\nAnswer: 4253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.19 less than or equal to 5\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 20. Calculate the remainder when 14 is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18284*b**4 + 4*b**2 - 8*b - 42684679.\nAnswer: 73136*b**3 + 8*b - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*x + 26 = 101. Let l be (-28)\/(-45) - (-2)\/(-9). What is the third smallest value in 2\/13, l, -2\/9, x?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4, -17.6, -17, 18, -5?\nAnswer: -17.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 1043650?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 11:05 PM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -13*y**2 - 9*y - 4. Let c(g) = -12*g**2 - 9*g - 3. Let w(k) = -6*c(k) + 5*h(k). Let j(a) = 4*a**2 + 5*a - 1. What is -5*j(b) + 3*w(b)?\nAnswer: b**2 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.94 - -7.91. What is the second biggest value in h, -3, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -54.9 - -58. Let w = -3.2 + t. What is the closest to w in 1\/12, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -3*v - 1\/6*v**3 - v**2 + 0. What is the derivative of u(g) wrt g?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 8*l**2 + 2266*l + 4557. Let f(w) = -3*w**2 - 756*w - 1518. Let r(m) = 11*f(m) + 4*o(m). Differentiate r(y) with respect to y.\nAnswer: -2*y + 748","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -434\/13 or -12?\nAnswer: -434\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 17 = -72. Let x = -27 + d. Suppose 0*l = 4*i + l - 278, 0 = -4*i + 4*l + 288. What is the greatest common divisor of i and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2487636.\nAnswer: 2, 3, 43, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 2*f. Suppose f = -4*x + 8*x - 192. Find the third derivative of 43*d**2 - x*d**2 + d**3 - 2*d**3 wrt d.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/8137 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8191\/6 - -1365. What is the third biggest value in -5, 0.1, -0.07, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -13*n**3 + 4*n**2 + 33*n. Let s(b) = -19*b**3 + 6*b**2 + 50*b. Let y(r) = -7*j(r) + 5*s(r). What is the second derivative of y(f) wrt f?\nAnswer: -24*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -866 divided by -2.\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0533148 to 4 dps.\nAnswer: 0.0533","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -30 + 15 - -9?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1926 a factor of 35846712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 1\/27 (c) 0 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 430\/20 + -7.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*s - 51 = 2*o + 103*s, -2*o - 5*s = -39 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by 5178.\nAnswer: 2\/863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 4*t - 6. Let u be d(-6). Suppose -59 = -5*q + 1. What is the highest common divisor of u and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d = -16*d + 2*n + 105, 0 = -d - n + 14. Calculate the highest common factor of 19 and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + s - 13 = 0, -35*j - 62*j - 2*s = -101*j + 64 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (110\/30)\/((-5)\/((-25)\/1)*15\/18)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -3\/2*v**2 + 0*v**4 - 2 + 3\/5*v**5 + 0*v**3 + 0*v. What is the second derivative of j(t) wrt t?\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*sqrt(13))**2 + (sqrt(13) + 0)**2 + 5 + (-3*sqrt(832)*2)**2.\nAnswer: 30022","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 6:50 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1950375578?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-6*(sqrt(567) + 1 - (4 + sqrt(14)\/sqrt(2) + sqrt(7))) + ((sqrt(336)\/sqrt(6))\/sqrt(8) - sqrt(7) - sqrt(7)*-1*-1)).\nAnswer: -258*sqrt(7) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 150305760 + -150305625.0000785. Let z = -0.149 - -135.149. Let f = b - z. Round f to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -191, -380, -569, -758, -947?\nAnswer: -1136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + h**2 - 3*h. Let u be t(-2). Suppose u*q + 106 = 2*p, 3*p - 2*q - 65 = 93. What are the prime factors of p?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 100 - 219*g + 219*g + 3*g**2 + (-3*g + 4*g + 0*g)*(0*g - 2*g + g) as c*g**2 + y + f*g and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -47*2*(1 + (-1450)\/20). Which is bigger: z or 6722?\nAnswer: 6722","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3.509905 days?\nAnswer: 303255.792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17241423169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -28. Let y be (-5 - -5)*(-1)\/1. Suppose -2*l + 4 + q = y. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1397.9 - 1398. Sort 1\/7, -2\/37, i in decreasing order.\nAnswer: 1\/7, -2\/37, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -76 - -46. Let q = -89\/3 - j. Let r = 0 - 1. What is the nearest to r in -3\/5, 2\/15, q?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**3 + y**3 - y**4 + (-4*y + 6*y + 3*y)*((-y - y + 0*y)*(0*y**2 + 0*y**2 + 2*y**2) + 3*y**3 + 0 + 0).\nAnswer: -6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 5*m = 5943, 0 = -2*f + 2*m + 3*m + 3987. What are the prime factors of f?\nAnswer: 2, 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (759\/506)\/((-1)\/16*3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3109, 5981, 8587, 10927, 13001, 14809?\nAnswer: 16351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 + 0 = 3*q. Let w(h) = -4*h - 5*h**3 - 2*h**3 + q - 5*h**2 + 8*h**3. Does 9 divide w(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -106271585 minus 18373.7?\nAnswer: -106289958.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -268 - -268.5. Let j = -24 + 23. Which is the closest to j? (a) -5 (b) g (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/7))**(-7\/2)\/(j**(-3))**(15\/8) assuming j is positive.\nAnswer: j**(37\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**5\/11 + 300736*u**4\/11 + 1027751608*u**3 - 3608800*u**2\/11 - 12332581888*u + 180884283392\/11 = 0?\nAnswer: -75184, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 16) to base 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of 1\/12*b**5 + 69*b**2 + 0 + 0*b - 5\/12*b**4 + 0*b**3. What is the second derivative of q(v) wrt v?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -o**2 + o - 54. Let q(c) = -2*c. Determine q(r(f)).\nAnswer: 4*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49205404 is divided by 4483?\nAnswer: 4479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 10 + 4)*(5*n**2 - 4*n**2 + n**2)*(-3 + 2 - 2).\nAnswer: -102*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*((-4)\/3)\/(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15674 + -9097. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 5214 + 1834. List the prime factors of c.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00039459193 rounded to 7 decimal places?\nAnswer: -0.0003946","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/12)\/(25\/20)*(-561)\/((-77)\/7)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10110 - 33?\nAnswer: -10143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1155 and 945.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1029162 or 1029161?\nAnswer: 1029162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, z: 5}. What is prob of picking 2 z?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/13 + 116530*d**2\/13 - 1698628016*d\/13 + 35619817128\/13.\nAnswer: -2*(d - 29122)**2*(d - 21)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -13 (b) 58602 (c) -1\/2 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 take away -578339059.84157?\nAnswer: 578339060.74157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -6*k**3 - 8*k**2 - 8*k + 8. Let r(c) = 2*c**3 + 3*c**2 + 3*c - 3. Let m = 147 + -144. Give m*s(b) + 8*r(b).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 79058.118 - 78949. Let l = -0.318 + r. What is l rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) - (3 + (sqrt(2736) + 2 - sqrt(2736)) + sqrt(2736)) - sqrt(2736)) + 2.\nAnswer: -12*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.80826 * 435.\nAnswer: 1221.5931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*a**4 + 1191*a**3 + 0 - 15*a**4 - 1193*a**3 - 1 as c*a + b*a**3 + r*a**4 + o*a**2 + n and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3.5651 litres?\nAnswer: 3565.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, m: 5, i: 5, w: 2, u: 3}. Give prob of picking 1 i and 1 u.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.7, -5, 0.4, 19?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o**4 - 419 - 3*o**2 + o + 421 - 2*o**3 + 2*o**4 + 13*o**4 to k*o + u*o**3 + n*o**2 + v*o**4 + c and give v.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 4*q + 11. Let z = q - 9. What is the derivative of -6 + 9 + z*k + 2*k wrt k?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 22 = -14. Suppose v*w - 8*w = 48. What is the highest common factor of 30 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321.3511l in millilitres?\nAnswer: 321351.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hm when two letters picked without replacement from {a: 10, w: 1, h: 2, m: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from rrrcccrr.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 n when three letters picked without replacement from nnnnnnnydddnd?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 3*y - 321, 54*s - 3*y = 52*s + 234. Calculate the remainder when 1235 is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15565 divided by 55.\nAnswer: -283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.2025356 litres?\nAnswer: 202.5356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 161 = 4*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + a - 194 = 0, 0 = -3*l + 4*l + 4*a + 79. Let i = 146 + l. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 + -18 + 4710\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.7 + 2.7. Let g = 1 - t. Which is the nearest to -3? (a) 4 (b) g (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6207114510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 84410 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24.8 - -45. Let u = -21 + z. Round u to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/2142 and -131\/12.\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 + 63637620*q**2 - 509101200*q + 1018202560.\nAnswer: 5*(q - 4)**2*(q + 12727532)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 + 1956*r + 288514.\nAnswer: 2*(r + 181)*(r + 797)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48017973 is divided by 55965?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1598*l + 192*l + 72735 = 123*l + 336*l for l.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 24\/(-9))\/((-3)\/(-9)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6*(-5)\/60)\/((-3)\/(-6)). Let d = -167\/90 - -19\/18. What is the nearest to f in -2, 3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*(sqrt(152) + sqrt(152)*2)*4)\/((sqrt(320) + (sqrt(320) - (sqrt(320)*-2*-2 + sqrt(320))))\/sqrt(10)).\nAnswer: -8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/15)\/((-3)\/15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -318311?\nAnswer: 318311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3481*k**3 - k**2 + 2*k + 4. Let d be z(-1). Suppose 0 = 4*b + 5*o - 2803, -5*b + 7*o + d = 6*o. List the prime factors of b.\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2001210 (base 3) to base 5\nAnswer: 22011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -a**10\/252000 + a**9\/50400 - a**8\/33600 + a**5\/15 - a**2. Let i(c) be the third derivative of p(c). Factor i(d).\nAnswer: -3*d**2*(d - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f - 5. Let g(l) = 11*l**2 - 5*l + 172. Determine -g(r) - 6*s(r).\nAnswer: -11*r**2 - r - 142","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/11, 5, 2, 348?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1121212022 (base 3) in base 7?\nAnswer: -162140","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1025 and 2?\nAnswer: 2050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -32 - (-1 + (-242 - -232) + 1 + 10)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 - 0.2. Let h = 0.006 - -4.894. Let d = 5 - h. Which is the closest to d? (a) o (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -595 >= -102948\/173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d6a (base 15) to base 16.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*z**4\/5 + 1324022*z**3\/5 + 10029956*z**2\/5 + 5407144*z\/5 + 757008\/5 = 0.\nAnswer: -7, -2\/7, 13518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -5) + -29 + 21.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, -3, 0, 1, -1 in increasing order.\nAnswer: -3, -1, 0, 1, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3069115178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -4*o**2. Let a(c) = 7*c - 118. What is a(m(r))?\nAnswer: -28*r**2 - 118","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggw when three letters picked without replacement from wgwwgwgwwwggwgwwww?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 12:36 PM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 286209 and 5390.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 1224720.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 f when two letters picked without replacement from hhklxlzf?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 30 = -4*y, 4*y = 4*m - 0*y - 72. Suppose 2*a = 5*j + m, -2*j + 12 = a - 4*j. Solve 4*h - 2 + a = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -112 + 183. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31665.\nAnswer: 3, 5, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a + 2. Let h be l(-4). Let k = -8 - h. Find v, given that -k - 8*v - 2*v**4 - 8*v**3 - 16*v**2 + 4*v**2 + 0*v**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 10. Let i(l) = 14*l. Calculate the remainder when i(q) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1700) + 2) + (0 + sqrt(1700))*4)**2 + (-2*sqrt(2057)*-2 - -3*(sqrt(2057) + sqrt(2057)*3)).\nAnswer: 376*sqrt(17) + 42504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.329 - 1.5013. Round u to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f - 4*f + 2 + 2*f)*(-58*f**2 - 22*f**2 - 2*f**2) - f**2 + f**2 - 2*f**3.\nAnswer: 408*f**3 - 164*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12240000 rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91 - (-1481 + 1489 - (8 + 0 + -2)).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of 3*p**5\/80 + 7*p**4\/16 + 15*p**3\/8 + 27*p**2\/8 + 40*p - 3. Factor n(u).\nAnswer: 3*(u + 1)*(u + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1850055 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -3*c + 9, -2*c + 6*g = 5*g - 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 565474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (z**2 - 11*z + 11*z)*(-237 + 32 - 48 + 9 - 93) in the form b + f*z + u*z**2 and give u.\nAnswer: -337","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1721, -4348, -10395, -21572, -39589?\n\"Answer: -285*n**3 - 632*n - 804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 0.4, -7, 5, 0.07, 2\/933 in increasing order.\nAnswer: -7, -5, 0, 2\/933, 0.07, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 44 = -4*y, 327*t - 55 = -77*t - 5*y for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-9)\/(-4))\/3 - 65\/(-4) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**4 - 2*b**4 + 155*b**3 + 165*b + 5*b**4 - 90*b**2 + 37*b**2 - 272*b**2 = 0. Calculate b.\nAnswer: -33, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -217, -433, -649?\nAnswer: -865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -626 - -643. Let q(b) = -54*b - 17. Let y(x) = -19*x - 6. Let v(z) = g*y(z) - 6*q(z). Let j(i) = -51*i**2 + 2. Determine v(j(r)).\nAnswer: -51*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3390, 9069, 14748, 20427?\nAnswer: 26106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106817.\nAnswer: 223, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**3 - 1201*h**2 + 1201*h**2 + 1 + 10*h as z*h**2 + j*h**3 + i*h + x and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**3 + r**2. Let m be w(-1). Let b(x) = -7*x - 2. Let z(f) = 36*f + 10. Let l(j) = -16*b(j) - 3*z(j). Does 7 divide l(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1222877276 to the power of 1\/3, to the nearest integer?\nAnswer: 1069","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*10\/4*-2. Suppose -x*k = 5*s - 65, 2*s + 0*s + 29 = 3*k. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 4*t + 10 = -10, -20 = 5*r + 4*t. Let g(l) = 2*l**2 + l. Let i be g(1). Let b be (0 + r)*(i - 2). Solve b = o - 5*z - 5 - 9, 4*o + 3*z = -13 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + 1237428?\nAnswer: 1237428.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u**2 + u**2 - 2*u**2)*(-1 + 5 - 3)*(237 - 5*u**2 + 21*u - 237) to the form m*u**2 + f + w*u + d*u**3 + z*u**4 and give d.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14698102 to the power of 1\/2, to the nearest integer?\nAnswer: 3834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.15 and -35.772.\nAnswer: 5.3658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 380488*i. Let j(w) = -w. What is s(j(o))?\nAnswer: o**2 + 380488*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 5, -8, -21, -34?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4602, -4617, -4632, -4641, -4638, -4617?\nAnswer: -4572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 5*h + 40. Let m be b(-3). What is the highest common factor of m and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 480 and 1192640.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o + 31. Let n be w(0). Let p = n + 0. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = c - 2*x, c + 3 = 4*x - 3. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 7 - 35)*(49*o + 204 - 204).\nAnswer: -2254*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 442 and 2482?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10322210433 + 0?\nAnswer: 10322210433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/9*18\/15.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-35)\/(-75) - (-1)\/3. Let z = 197.3 + -197. Sort -0.2, z, -4\/7, n in increasing order.\nAnswer: -4\/7, -0.2, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a century in months?\nAnswer: 25800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4 + 45*l + 8*l**2 + l**4 - 5*l**3 - 20*l - 3*l**4 - 13*l.\nAnswer: -l*(l - 2)*(l + 1)*(l + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c**2. Let z(f) = 3*f**2 + 3. Determine a(z(k)).\nAnswer: 36*k**4 + 72*k**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 21228 = -2*i, -n + 3*i - 10604 = -0*i. Let l = -6228 - n. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0 - 1\/3*n**2 = 0. What is n?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 68\/32*4 - (-5)\/(-2). Let w be 13 - (-7)\/(-42)*p. Calculate the greatest common factor of w and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9312.6 rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49713?\nAnswer: 3, 73, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3\/3 - 14869951*x**2 + 11152464*x.\nAnswer: -x*(x + 11152464)*(4*x - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2458 + -0.24580024565. What is h rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 771 + -354. Let v = z - 258. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/9446*16\/(-6). Let w = r + -103582\/382563. Find the common denominator of -32\/9 and w.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-475)\/(-20)*(-384)\/(-480)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 355*u - 172*u - 170*u - 156 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 27 + 9. Suppose -b = -3*d - 3*j, -5*d + 3*d - j + 9 = 0. Suppose 2*f = -k + 178, -4*f + k - d*k = -344. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(2) + 1)*-3 + -3.\nAnswer: -6 - 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6192, -6011, -5704, -5265, -4688, -3967, -3096, -2069?\nAnswer: -880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13397497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 9*w + 9. Let m be r(6). Let k = m - 11. What is the highest common factor of k and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4635359 is divided by 666.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4585?\nAnswer: 5, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-25)\/(-15)*(-9)\/(-5). Let c be (4 - p) + (6 - -1). Is 4 a factor of 189\/12 + 2\/c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4495 - 4499. Put -19.6, s, 1\/9 in descending order.\nAnswer: 1\/9, s, -19.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g - 3. Let k be d(7). Suppose -k*t + 6 = -t. Let x be (-4 - -2)\/t*1. Sort -5, x, 1 in descending order.\nAnswer: 1, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47*c**2 - 13 + 23 + 1 - 164*c**2 to x + o*c + z*c**2 and give x.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -4, 0, -1\/4, -0.0442?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -s**2 - s - 1. Let x be o(-3). Suppose -3*w + x*w = 24. Is 6 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -4*sqrt(6)\/sqrt(2))**2.\nAnswer: 32*sqrt(3) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1508?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119572728 divided by -452927.\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.080119489 to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 91156 to the power of 1\/2, to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -6*i**2 + 4*i + 3. Let h(r) = -r**2 + r. Let m(t) = -t + 4. Suppose 3*u - 88 = -8*u. Let k be m(u). What is k*h(s) + q(s)?\nAnswer: -2*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 10*a - 8. Let b(s) = -4*s**2 + 31*s - 23. Let r(f) = 2*b(f) - 7*w(f). Calculate r(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12826, 25728, 38630, 51532, 64434?\nAnswer: 77336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5773\/9 - -640. Suppose -6*j - 8248 = 8390. Let n = j - -33239\/12. Find the common denominator of g and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55848962.\nAnswer: 2, 13, 53, 40529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 4. Suppose 5 - 1 = -h - 3*w, u*w + 2 = -3*h. Let b = 3 - 1. Solve -b = -h*i - 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1518\/46 + (-4285)\/130?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/20 and -89\/536?\nAnswer: 2680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 52 = 4*b + 15, -4*j + 3*b + 16 = 0. Solve 2*x = j*x - 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-7)\/7)\/((4\/(-3))\/4). Suppose 0 = -n + 4*t - 1, n + 2*t - 8 = -s. Suppose 2*p = -2*z + 496, -n*p + 734 = -z - 26. What are the prime factors of p?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 2)*(-2)\/(-6)*(-2)\/5.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b - b - 116 + 148 = 0. Let a(v) be the third derivative of -v**3 - 1\/60*v**5 + 0 + 0*v + 11*v**2 + 1\/3*v**b. What is a(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 713740.4 days in seconds?\nAnswer: 61667170560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {v: 1, u: 1, k: 2, s: 2, r: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3681 is divided by 114.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 12:36 PM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 1 = 6. Suppose -g*h = -6*h. Solve h = -0*j - 3*j + 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -141 - -91. Let j be n*5\/(-10)*3. Suppose 5*i - j = -m, -2*i - 1 = 2*m - 23. Does 5 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-77)\/(-22)*(-9)\/(11 + (-25)\/2)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -3*-6*sqrt(14)\/sqrt(7))**2.\nAnswer: 144*sqrt(2) + 664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 372 and 5 + 554 + (-1 - 0).\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -12*r**2 + 5283*r - 6738. Determine p(439).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 130\/(-60)*126\/364. Let t = -0.08 + -0.72. Let f = -0.3 - t. Put -3, -0.3, f, g in descending order.\nAnswer: f, -0.3, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 29, 99, 199, 323, 465, 619, 779, 939?\n\"Answer: -k**3 + 21*k**2 + 14*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3 = 5*w + 16, d - w - 8 = 0. Let i(z) = 17*z + 8. Is i(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0060118 rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226995.\nAnswer: 3, 5, 37, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 + 5441555*t - 429851640.\nAnswer: -5*(t - 1088232)*(t - 79)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 357 and 12243?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = t, 0 = 3*h - 4*t + 4 - 5. Let m = -61.2 + 62.5. What is the closest to m in h, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154 + 1063 - 909 + 89*k**3.\nAnswer: 89*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = o - 3*x, 0*x + 3*x + 11 = 2*o. Suppose -400 = -o*g + 2*g. Calculate the smallest common multiple of (96\/g)\/(6\/40) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1337 + 1338. Which is smaller: n or -3\/836?\nAnswer: -3\/836","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 660 and 1130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 658 and 1526.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)\/sqrt(4) + 2)**2 - sqrt(16)\/(sqrt(56)\/sqrt(7)).\nAnswer: 3*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.010295 to one decimal place.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -127, -269, -421, -571, -707, -817?\n\"Answer: 2*m**3 - 17*m**2 - 105*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 268.8 to the nearest ten.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*h*k**3 + h*k**2 - 8299735*h*k + 942299*k**4 wrt k?\nAnswer: -54*h + 22615176*k","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111605 is divided by 55792.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 8*t**3 + t**2 - 68*t + 14. Let r(x) = 34*x**3 + 4*x**2 - 270*x + 60. Give 13*n(u) - 3*r(u).\nAnswer: 2*u**3 + u**2 - 74*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 0*i + 0 + 1\/6*i**4 + 8*i**2 + 0*i**3. Let z(n) = -21 - 2*n + 21. Give z(c(p)).\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 75*a**2 + 145*a - 68. Let p be c(-73). Solve 0 = p*q + 178 - 188 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -122 - -134. Solve -3*j - 2*y + 22 = -6*j, -m = -2*j - 4*y for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 1:16 PM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-45)\/30*9\/(522\/4). What is the third biggest value in -3, l, 3\/2, 2\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -173, -384 in decreasing order.\nAnswer: 1\/3, -173, -384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 plus -36022275?\nAnswer: -36022275.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 31*n = -70*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -39695732277 and -34868.\nAnswer: -39695767145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25529 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4364*j - 4356*j + 24 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gcggbugcgbg. What is prob of picking 2 g and 2 b?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*11237743.\nAnswer: -2247548.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3249941.\nAnswer: 17, 191173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-364)\/(-9555)*14\/240*5\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 1)*(-3 + 4 - 7)*(90 - 58 - 95)*(2*k + 2*k - 6*k).\nAnswer: 2268*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 246477 and 3.\nAnswer: 246477","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 89238259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5*j - 7220, -8*j + 13*j - 3*r = 7220. Suppose j = 97*w - 93*w. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 85 = -203. Does 32 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 286\/1859*6\/56*182\/36.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 27819, 27716, 27613, 27510?\n\"Answer: -103*v + 27922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2516.5*-322.\nAnswer: 810313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 267895 to the power of 1\/2, to the nearest integer?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 12 + 0*n**2 + 0*n + 1\/3*n**3. Let u(r) = -2*r - 46. Determine h(u(y)).\nAnswer: 4*y**2 + 184*y + 2116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -6592.07 to the nearest 100.\nAnswer: -6600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2059 = -u - 4*c, 2*u - 7*u = -2*c - 10273. Suppose 0 = 5*k + 145 + u. What is the units digit of k\/(-5)*2\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 884 + -890. Let n be y + ((-2)\/(-38))\/(3\/348). Find u, given that 0 - 2\/19*u**2 + n*u = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7274327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i. Let l(f) be the second derivative of -4*f + 0 - 2\/3*f**3 - 1\/2*f**2. Give -l(m) + 2*y(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-24)*2*(1 - 1). Suppose s + 4*s + 3*v = 4435, c = -4*v. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.05704 - 71.64704. Round x to zero dps.\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12050496 is divided by 3012571.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s - 6*r + 252, -2389*s - 5*r + 194 = -2387*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.32, 0.4, 0.3, -4798?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5726)\/(-70) + 630\/(-225).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-70)*-10*-1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -35*o**2 + 6*o - 5. Let m(p) = -7*p**2 + p - 1. Calculate -4*b(q) + 22*m(q).\nAnswer: -14*q**2 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 3*d**2 - d - 5. Let v be q(-3). Let p(w) = -2*w**2 - 4*w - 5. Let f be p(v). Is ((-4)\/f)\/(1 - 233\/235) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**2 - u**2 - u**2 - 1 + u. Suppose 0*c + 3*c + 1 = -5*q, -2*q = c. Determine i(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**2 + 17678256*b - 212138496 = 0. Calculate b.\nAnswer: 12, 4419552","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 823848 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 84 and -12.\nAnswer: -1008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -71\/46 + 1\/23. What is the nearest to 0 in -3, t, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -119 + 118. Put -33, j, 0.4 in ascending order.\nAnswer: -33, j, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52 + 31. Which is bigger: l or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*n + 0*n + n)*(-15 - 1 + 0) + 43*n - 37*n - 131 - 5*n in the form y*n + u and give u.\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 2110?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a millimeter in micrometers?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1305770227 to the nearest integer?\nAnswer: 36135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m - 7. Let x be i(5). Suppose -5*s - 8 = -x. What is the tens digit of (-1*12*1)\/s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**13*o*o*o*o**(-6))**(-2\/67)\/((o*o**1\/o)**(8\/3))**(-1\/62) assuming o is positive.\nAnswer: o**(-1964\/6231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 412 plus 27647.99564?\nAnswer: 28059.99564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 2. Let p(x) = x**2 - x**2 + x**r. Let u(q) be the second derivative of -q**3\/3 + 7*q. Calculate p(u(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 5 + 20 = 0. Suppose -2*d + s = 3*d. Let f(h) = -6*h + 1. Let x be f(d). Sort x, 3, -3 in increasing order.\nAnswer: x, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14619 - 292273\/20. Calculate the common denominator of (-24)\/18*(-73)\/60 and w.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*u + 186*u + 72*u + 259*u in the form r + c*u and give c.\nAnswer: 551","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 15*c**3.\nAnswer: 15*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5837?\nAnswer: 13, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4293529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-9)\/(-12))\/((-6)\/(-2)). Which is the second smallest value? (a) f (b) -4 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -856 - -853. Let m be (-117)\/504 - x\/8. Let -12\/7*c - m*c**2 - 36\/7 = 0. Calculate c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 1:47 AM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14*b**2 + 35*b**2 - 12*b**2)*(-3 + 0 + 3 + 27*b) to the form i*b**3 + l*b + n + y*b**2 and give i.\nAnswer: 999","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 338 - 155. Does 29 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 724 is divided by (2541\/(-14))\/((-6)\/8) - 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2664363.\nAnswer: 3, 13, 53, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - q**2 - 1. Let h(u) = -4*u**3 + 3*u**2 + 7. Let s = 337 + -334. Determine s*a(b) + h(b).\nAnswer: -b**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 2:51 AM?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/42 and -10\/418397.\nAnswer: 2510382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 64 - -141. Suppose 7*d + 5 = -b. Let s be ((-30)\/4)\/(-1)*d\/(-45). Solve -3*v + s*x = 9 + 13, -4*v - x - 14 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -8*q**2 + 3*q - 64. Let j(v) = 11*v**2 - 3*v + 64. Determine 2*j(m) + 3*k(m).\nAnswer: -2*m**2 + 3*m - 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + -6. Let i(t) = -t**2 - 11*t + 5. Let j be i(-11). Suppose -h = 2*h - o - 11, j*o + 22 = 4*h. Solve h*r + 0 = -u for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2728 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*h**2 - 17*h**2 - 15*h**2 - 4*h**2.\nAnswer: -25*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/162806 and 73\/413736562.\nAnswer: 2896155934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 140707 + 4307. Suppose 0 = -4*c - d - 14986. Round c to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5*(-2)\/(-6)*-3. Solve -4*s - r*q = -2*s + 17, 0 = s + 4*q + 13 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 40*y - 5. Let l be b(1). Solve 5*i + l = -7*s + 12*s, -2*i = 3*s - 11 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 268599 + -4\nAnswer: 268595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - y. Suppose y*g + 56 = 4*g. Suppose -5*x + 66 + 144 = 0. Calculate the greatest common factor of x and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 75 = -6*w. Suppose -20 = -4*b, a - 6*a - 2*b + w = 0. Suppose t + 4*t + u - 432 = 0, 4*t - a*u = 357. Is t a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/(-180)*5344\/14696.\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-36) + 151\/4. What is the greatest common factor of l and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-13 - -24 - 3).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 15*u**2 - 11*u - 34. Calculate the least common multiple of 56 and v(14).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 491 - 491.000000916. What is x rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 8. Find the second derivative of 5*i**2 + 3*i + 2*i**4 - k*i**2 wrt i.\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 51) + 31 + (-6 - 2) + -36 + -9?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (58 + 1883)*(-2)\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(((l*l*l*(l\/(l*l*l**(-5\/2)))\/l*l*l*l*l)\/l)\/l)*l\/(l**(-3\/7)*l))\/((l**(-15)*l)\/l*l\/(l\/l**(-15)*l*l)) assuming l is positive.\nAnswer: l**(391\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 32673569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 4*p**2 - 104. Let q(g) = 9*g. Give t(q(d)).\nAnswer: 324*d**2 - 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 170 and 4505.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3398*n + 3402*n - 81*n**2 + 152*n**2.\nAnswer: 71*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12551, 12514, 12459, 12392, 12319, 12246, 12179, 12124?\nAnswer: 12087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*b**2*d**3*w + 2*b**2*d**3 - 6*b**2*d**2*w - 3*b**2*d**2 + 3*b*d*w wrt d?\nAnswer: 30*b**2*w + 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 3:36 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 5*o**2 - 175*o - 368. Let q be g(37). Solve -5*f - q = 4*m, -107*f = 3*m - 108*f + 11 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 6*d - 178. Let f be i(-11). What is the smallest value in f, 3, -7.9?\nAnswer: -7.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -312 or -310?\nAnswer: -310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/20*330\/33*(-15)\/(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 3*v + 20477, 21*v = -4*d + 22*v + 40969. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82017 is divided by 641.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 4*l**2 + l + 9. Let c be z(-4). Let x(o) = -o - 1. Let h be x(c). Let k(j) = -j**2 - 7*j + 2. Determine k(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-60)\/8*4\/(-3). Calculate the common denominator of 2\/f - (-1012)\/240 and -53\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*s + 12 = -42*s. Suppose 8093 = g + v, -5*v = 6 + s. Suppose -g = -2*o - b, -2358 - 17877 = -5*o - 2*b. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 5 = -5. Let b(h) = -6*h**2 + 3*h + 12. Let x(t) = 3*t**2 - t - 6. Let c(n) = d*b(n) + 5*x(n). List the prime factors of c(4).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -8. Let p be (8 - 4\/j) + -4. Solve 5*n = p*r - 40, 5 = 2*r - 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -4*q + 41, -8*q + 3*q = 2*i - 13. Let j be (-24)\/2*((-66)\/i + 7). Suppose j*y = -6*y + 780. What are the prime factors of y?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 1. Let p(k) = -3*k**3 + 5. Determine 4*o(a) - p(a).\nAnswer: -a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -194276, -3.\nAnswer: -194276, -3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7083250 and 79750?\nAnswer: 77915750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o - o + 2*o)*(-4*o + 2*o + 3*o)*(-224*o - 242*o + 114*o) + (-2*o + 2*o + 2*o**3)*(5 - 3 - 1).\nAnswer: 706*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 141\/15 + (-2)\/5. Let q(c) = c - 4. Let m be q(5). Let x = m + p. Solve -2*v - s + 2 = x, 4*v + 14 = -s for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2404350197.\nAnswer: 61, 646157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64280\/106062*(-27)\/(-10).\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -24842\/139 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 12:12 PM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -z**5\/20 - z**4\/3 + z**3 + z**2 + z. What is the tens digit of p(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -3 + 6 + (4 - 21)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -16 - (-58 + 67)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 825.36ml to litres.\nAnswer: 0.82536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - 12\/(-3 + -1). Let v be (0 + b\/(-2))*1. What is the closest to 1 in -0.4, 1, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-7) - (-100)\/(-105). What is the closest to 0.1 in -1\/10, -1\/6, d?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243537 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 3*l + 8 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 10:19 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**8\/(v*v**(-3))*(v*(((v**(1\/9)*v)\/v*v)\/v*v)\/v)\/v*v\/(v\/(v\/(v\/(v\/(v**(-1\/2)\/v))))))**(-1\/7))**(-25) assuming v is positive.\nAnswer: v**(5675\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3*6386\nAnswer: -19158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + f. Let t(q) = -3*q**2 + 11*q - 12. Let s(w) = m(w) - t(w). Factor s(l).\nAnswer: 2*(l - 3)*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.137 + -87?\nAnswer: -86.863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-235 - -269) + 2 + (32 - 6)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-2)*(-85 - (-19540)\/230)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 z, and 1 b when four letters picked without replacement from hhbccxuchczxzzubxz.\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 7 * -15\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 821 + -824. Let q = 46 - 136\/3. Let n = 16 - 11. What is the nearest to q in -2\/13, b, n?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*(-7)\/(2\/2). Let y be (w\/(-6))\/(3\/18). Calculate the greatest common divisor of 3 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2976*h - 2048.\nAnswer: 2976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 1794*h**2. Let t(y) = -2*y**2. What is l(t(j))?\nAnswer: 7176*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12669 and 8241.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50 - 3636\/72)*4\/135.\nAnswer: -2\/135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-10)\/8) - (-31)\/155\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 6:04 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -32*j - 1. Let t = -1 - 0. Let a be w(t). Suppose -11 = -3*l + a. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n + 5. Let d be b(-7). Let y = -388669\/18 + 21599. What is the common denominator of (-90)\/d*18\/50 and y?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((-88)\/6))\/(225\/44400*37)\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32388 and 924900.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 23845.86 weeks?\nAnswer: 14421976128000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 > 6160\/3287?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 6 = -3*m + 4*s, -10 = 5*m - 5*s. Suppose m*d - 16 - 84 = 0. Suppose -d = -2*h + 2*y, 2*h + h - 59 = -y. List the prime factors of h.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1079*g = 1075*g + 18344. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2914*u + 2933*u - 11704. Calculate the lowest common multiple of 16 and u.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 40 = -4*z. Let q be -889998 + 5\/(z\/(-8)). What is q 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 product of 3100 and 5?\nAnswer: 15500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 51 or 0?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 95 + -93. Let t be j\/(-4)*3\/(-12). Which is the second biggest value? (a) 1\/6 (b) t (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1265 times -0.2?\nAnswer: -253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -500 + k**2 - 76 - 138 to the form m*k + h + s*k**2 and give h.\nAnswer: -714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -137626429 rounded to the nearest 1000000?\nAnswer: -138000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 8*r + 7. Let p be b(7). Suppose p = -4*l + 2*l - 18. Let s = 7 + l. Sort 2, -4, s in decreasing order.\nAnswer: 2, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3417201 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**2 - 15*v - 37. Determine a(-6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 409 is divided by 60?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 s when two letters picked without replacement from ffsebfbfpppsfbesfpf?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(64\/(-40))*4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 10110010?\nAnswer: 10110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.8 + 5.1. Which is smaller: q or 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -118*o + 2*o**2 - 1 + 156*o + 1 as i + r*o + s*o**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zjjzjjqzjzzjjzzzj. What is prob of sequence qz?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b - 3. Let d(r) = -22*r**3 + 3*r**2 + 2*r + 3. Let q be d(-3). Let p = q + -611. Calculate t(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(10\/(-10) - 3\/(-4)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9486900, 9486896, 9486892, 9486888, 9486884?\nAnswer: 9486880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 l, and 2 x when four letters picked without replacement from {l: 2, b: 1, h: 5, t: 3, f: 1, x: 3}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand b + b - 3*b + (4 - 1 - 1)*(-2*b - b + b) + 0*b + 0*b + 3*b + (-1 + 1 - 4*b)*(0 - 4 + 5) + 4*b + 0 - 1 - 2*b.\nAnswer: -4*b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2 - 63587*l + 1. Let r(a) = -a**2. Give c(r(o)).\nAnswer: 2*o**4 + 63587*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 19*w**3 - 2*w**2 - 5*w + 6. Let k(j) = j**3 - j + 1. Let r(y) = c(y) - 6*k(y). What is r(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**3 + 5*y**3 - 2*y**3 - 3*y**3 - 5*y**3.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7339993091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*t + 5*t - t)*(-32*t + 17*t + 37*t).\nAnswer: 814*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -63, -363, -2, -5, 0 in descending order.\nAnswer: 7, 0, -2, -5, -63, -363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*i*t**2 + 2067*i + 195*t**3 wrt t?\nAnswer: -8*i*t + 585*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 times 211?\nAnswer: -2110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -52.8, 0.2, 198?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 7:55 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151 = -3*k + 75*x - 74*x, -3*k = -2*x - 146. What is the remainder when 100 is divided by k?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 5 + 0*s**2 + 6*s**2 - s - s**3 + 4. Let j be y(6). Solve 3*m + j*g = 6 - 30, 2*m - 2*g + 4 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 6*o + 20. Let n be t(-3). Sort -7, n, -2 in ascending order.\nAnswer: -7, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -54 - -95 - (87 + -66).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**5\/5 - 13*k**3\/5 + 16*k**2\/5 + 12*k\/5 - 16\/5 = 0?\nAnswer: -4, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/6 + -2\/3. Let p = 1.676 + 0.124. Which is the closest to p? (a) -2 (b) d (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5*a + 2 + 54 = 0, 0 = 3*p - a - 31. Let x(b) = b - 6. Let s be x(p). Suppose i = -s*i + 28. Calculate the lowest common multiple of 1 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1238141.\nAnswer: 113, 10957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*z - 1 = 7, -54 = -3*h + z. Solve -12 = t - h for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.18 - 0.18. Let t = f - 3. Let o be ((-4)\/(-10))\/((-1)\/5*7). Which is the closest to 0? (a) o (b) 0.4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2564563 and 511?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of y**6\/10 + 17*y**2\/2 + 18. Let k(f) be the second derivative of r(f). Let w(h) = h**3. Determine -k(m) + 16*w(m).\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -467 to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33 and 11496.\nAnswer: 126456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f + 1. Let k(j) = -3*j + 2. Let y(s) = 4*i(s) - 2*k(s). Let d(q) = 10*q. Give 2*d(g) - 12*y(g).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97021 is divided by 278?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 33*u**3 + 1800*u**2 + 10476*u + 5184 = 0.\nAnswer: -48, -6, -6\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5 + (sqrt(539) + -5 + 2*sqrt(539))*-5)**2*6.\nAnswer: -4398300 + 226800*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2\/5, 0.2, 4, -1.2 in decreasing order.\nAnswer: 4, 0.2, -2\/5, -1.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17887 + -7908. Suppose -11*o = q - 44024. Let b = -1014 + o. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1)**12 assuming f is positive.\nAnswer: f**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - 0.1. Let w = -0.26 + -0.04. Which is the closest to 1? (a) -3 (b) o (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 5:28 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -25, -20, 47, 206, 487?\n\"Answer: 5*b**3 + b**2 - 33*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**6\/(k*k**(-3)))\/(k**(-3\/7)*k**(3\/7)) assuming k is positive.\nAnswer: k**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*q + 8. Suppose -3 = 2*m - 2*h - 7, 0 = 5*h - 25. Suppose q*j + 5692 = m*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/7 + 128885*a\/7 + 36394366\/7.\nAnswer: (a + 283)*(a + 128602)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 1:10 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.5, -5, 1, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 - -30. What is the remainder when (-1)\/(((-6)\/j)\/234) is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = a + 3*t, -4*a + t - 5*t + 16 = 0. Sort -1, a, -4 in increasing order.\nAnswer: -4, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-69)\/(-6))\/(2\/(-20)). Let a = 115 + n. Solve -9 = -5*z + 3*l, 3*z - l - 2*l - 9 = a for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -72573461 and -3.\nAnswer: 217720383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2d (base 14) in base 13?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16284, -38, 29\/5 in descending order.\nAnswer: 16284, 29\/5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 2 = v, -12*v + 11*v = 4*s - 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p + p + 76*p**2 - 5*p - 9*p**3 - 4*p**2.\nAnswer: -9*p**3 + 72*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14\/4*(-396)\/(-77). Let y(x) = -x**3 + 20*x**2 - 14*x + 28. What are the prime factors of y(j)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w + 5. Let j(b) = b + 1. Let l be (-1)\/5 + (-8)\/10. Let h(g) = l*c(g) + 6*j(g). Suppose 192 = -8*p - 88*p. What is h(p)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 27, 77, 177, 345?\nAnswer: 599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94995 is divided by 31640.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by ((-1)\/(-2))\/((-11)\/(-484))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qmqqqmxeqmmmmyxe. What is prob of picking 2 m and 1 y?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**2 + 951*d + 5 - d**2 - 950*d + 0 + 0 + 2*d**2 + (3 - 2 + 3)*(-3 + d**2 + 3) to b*d + r + y*d**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125435626.\nAnswer: 2, 499, 125687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 plus -6?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 90 = -4*s, d - 5 + 70 = 3*s. Calculate the lowest common multiple of 2 and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005817 to 5 dps.\nAnswer: 0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -50760 and -0.1.\nAnswer: 5076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 0*t**2 + 4*t**2 - 3*t**3 - 4*t**2 - t**2. Determine g(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-12)\/(-18)*(-15807)\/(-22) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 403.2 + -403.4. Put 2, y, 9.4, 0.3 in ascending order.\nAnswer: y, 0.3, 2, 9.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-1)*r)\/(r**(-3)*r))\/(r**(-5)*r\/(r\/(r*r*(r*r**(5\/4)*r)\/r))))**(-2\/37) assuming r is positive.\nAnswer: r**(-11\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4\/3 + 2747*m**3\/3 + 839055*m**2 + 257028075*m + 510707250.\nAnswer: (m + 2)*(m + 915)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**3*r))\/((r**4\/r)\/r))**13 assuming r is positive.\nAnswer: r**(-65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-3)\/9 + 1)*711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94862, 102238, 109614?\nAnswer: 116990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.5 (b) 19 (c) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4)*k*((k\/(k\/(k**(3\/16)*k)))\/k)\/k*(k**(-1\/9))**(-11\/2))**29 assuming k is positive.\nAnswer: k**(-13369\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 843892 to the power of 1\/2, to the nearest integer?\nAnswer: 919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**11)**12)**(-27) assuming k is positive.\nAnswer: k**(-3888)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x + 27. Let q be m(-24). Suppose 3 = q*v - 3. Solve -u - 3 = v*w + 1, -2*w = -3*u - 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of m**3\/3 + 21*m**2\/2 + 9*m. Let t(h) = -h - 20. Let g(u) = -5*t(u) - 6*x(u). What are the prime factors of g(-10)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111100000111011000 (base 2) to base 15.\nAnswer: 4ce57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 5*t = 15. Suppose -2*y + 0*l + 11 = l, -3*l = t*y - 9. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -624*v**3 + 61*v**2 + 3*v wrt v?\nAnswer: -3744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2561292287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 13*b**3 + 3*b**3 - 1 - 17*b**3. Let f(m) = -3*m**3 + 5. What is 4*c(n) + f(n)?\nAnswer: -7*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1825726303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 347974301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.01 (b) -3\/74 (c) -1\/4 (d) -5 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - (-9)\/6)*(-12)\/(-3). Suppose 6*b = 4*b + 2, n*b = 3*d - 2878. Let j = d + -659. Does 43 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.122512 less than -4.68717208?\nAnswer: -6.80968408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 9, l: 3}. Give prob of picking 1 t and 1 l.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-3)*3\/119. Let h = 8691\/238 + w. Suppose -300 = 7*b - 34. Calculate the common denominator of b and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.9 - -54.9. Sort f, -0.5, -1\/9 in decreasing order.\nAnswer: f, -1\/9, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272)*5 - (-2*-2*sqrt(17) - sqrt(17) - sqrt(17)))**2.\nAnswer: 5508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -13, -6, 1, 8, 15, 22?\n\"Answer: 7*j - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 + -2.1. Let j = 73 - 37. Let i = j - 33. Which is bigger: i or b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 2:07 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w**2 - 3*w - 321. What is the lowest common multiple of (1 + 37\/2)*(1 - -1) and z(12)?\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -4*a**2 + 13*a + 64. Let i be k(19). Let f = -321 - i. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14526, 2, -85, 5 in decreasing order.\nAnswer: 14526, 5, 2, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 17*l - 22. Is t(-6) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/((p\/p**(-1\/9))\/p)*p))\/(p*p\/(p**(-3)\/p)) assuming p is positive.\nAnswer: p**(-62\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**2\/13 - 6243264*w\/13 - 56189214\/13 = 0. Calculate w.\nAnswer: -3121623, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -222*19.\nAnswer: -4218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 14*s. Let o(k) = -k**3 - 4*k**2 + 2*k + 3*k**3 - k + 3*k**2. Let a be o(1). Let h(f) = -2*f**2 - a*f**2 + 3*f**2 - f**2. What is t(h(r))?\nAnswer: -28*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.009916 and -2031229467?\nAnswer: 2031229467.009916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -6. Let o(q) = -q**3 + 6*q**2. Let c be o(6). Suppose c = z*a - 221 - 148. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23981*p**2 - 79*p + 118034511.\nAnswer: 47962*p - 79","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -119473\/9450 - 1\/4725. Let z = k + 1517\/84. Find the common denominator of -2 + 1 + (-86)\/28 and z.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 - 6)*4\/4. Let u = -98 - -127. Solve -3*c = -2*g - 18, 3*g = -s*c + 5*c - u for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 36 - (-6 + (-65)\/(-10))*-10. Suppose -4*w = -4*x - 13536, -r*x + 39*x = -4*w + 13538. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14.514 - -14.3. Let d = -0.21337 - o. What is d rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.4607912 * 0.4.\nAnswer: -3.38431648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36\/5 + 118\/15. Suppose 0 = -2*j - g + 9, 2*j + 0*g - 19 = -3*g. Which is smaller: j or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -28, -26, -24, -22, -20?\n\"Answer: 2*o - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 120bbb (base 16) to base 15\nAnswer: 185636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3\/5, -11, -0.31?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + -3 + (-27 - -2). Let f = c + 35. Let h = f + -3. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, o: 1, u: 1}. Give prob of sequence eu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 13*w**2 - 11*w - 6. Determine r(-12).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1751046827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 + 1.3. Let f = -227 - -154. Let k = f - -364\/5. Which is the nearest to v? (a) 0.4 (b) -3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1693.4 + 1693. Let u = -99 - -93.3. Let k = -6 - u. Put t, k, -4, -3 in descending order.\nAnswer: k, t, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 882? (a) 6\/7 (b) -3\/10 (c) -339\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 1 - (0 + -2). What is the second derivative of z*s**5 + s**5 - 4*s + s wrt s?\nAnswer: 60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.33922037 rounded to two dps?\nAnswer: -13.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6515786?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/6 - (-2)\/(-4). Let d = 0.1827 + 0.0173. Which is the third smallest value? (a) s (b) d (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (21545\/(-3570))\/(-31) + (-4)\/(-14) and 3\/1*(-3)\/48*11.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wfmf when four letters picked without replacement from {w: 1, o: 1, m: 2, f: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-459)\/(-10098)*-2*5.\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 8*p - 1. Let c be j(2). Let u = c + -13. Which is bigger: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13144 + -102?\nAnswer: 13042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 70. Let a = 8 - 8. Let q be b(a). Calculate the highest common factor of q and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 15. Suppose 15 = -5*m, m - 90 = -k*f + 1212. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -91*(6\/6 - (30 + 1)). Let s = v + 14740. Round s to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**4 - 20*u**3 - 55*u**2 + 150*u.\nAnswer: 5*u*(u - 5)*(u - 2)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -84*w - 4192*w - 1 + 578*w as q + m*w and give m.\nAnswer: -3698","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.0281 * -0.2605.\nAnswer: 0.26782005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 4:49 PM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2. Let v(g) = -89*g**2. Calculate i(v(q)).\nAnswer: 7921*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28798?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 274669.8l in millilitres?\nAnswer: 274669800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2326.085368 - -0.11\nAnswer: 2326.195368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttg when three letters picked without replacement from ssggtgtstssskttts?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98 = 5*o + 893*v - 894*v, -4*v = -4*o + 344 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c*r**5 - 99*c*r + 267776520*r**4 - 2*r**3 + 148537*r**2 wrt r?\nAnswer: 60*c*r**2 + 6426636480*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or -1\/48?\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (248\/(-310))\/((-11)\/(275\/30))*(-1449)\/14.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -419534*o**2 + 398*o - 187597515 wrt o.\nAnswer: -839068*o + 398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3885 and 210?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*m + 55 = 9*m - 305 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 875 + 8950 = 393*w for w.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**2*c)**(2\/71)\/(c*c**3)**35 assuming c is positive.\nAnswer: c**(-9932\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004735999 rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 26 + 8 = 0. Let l(c) be the third derivative of 0 + 1\/60*c**5 - 1\/4*c**4 - 7\/6*c**3 + 15*c**2 + 0*c. Give l(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**3 - 2 + 2)*(3*x - 3*x + 3*x + (-17 + 9 - 6)*(3*x - 7*x + 2*x))*(-23 + 35 + 48).\nAnswer: -3720*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**8\/q)**(-3)*(q\/q**(10\/9))\/q**(-3\/4) assuming q is positive.\nAnswer: q**(-733\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007257735 to five dps.\nAnswer: 0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 36*m**2 - 26*m + 26. Let p(z) = z + 1. Let j(o) = 4*o**2 + 3*o + 9. Let g(d) = j(d) - 6*p(d). What is 6*a(l) - 52*g(l)?\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, j: 3, v: 2}. What is prob of sequence djj?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 16*6\/((-132)\/11)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1106*b**2 + 2210*b**2 - 1112*b**2.\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 0.03964, -0.1, -11, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 7*m**2 - 10*m - 11. Let i be h(-8). Let f(k) = -6*k - 4 + k**2 + 5 + i. Give f(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1434, -2865, -4280, -5667, -7014, -8309?\n\"Answer: 2*j**3 - 4*j**2 - 1433*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-7815)\/10*1530\/(-135)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6468 and -0.2?\nAnswer: 1293.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i - 24 = 25 - 21. Let c = 377\/5 - 76. What is the nearest to 1 in -1, c, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -316, -88, 290, 818, 1496, 2324?\nAnswer: 3302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((2*sqrt(200) - sqrt(200)) + sqrt(200))*-4)\/(sqrt(10)\/(sqrt(2)*1)))\/(-6*-1*sqrt(648)*6).\nAnswer: -2*sqrt(5)\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (-1)\/((82\/42 + -2)*3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/4 + 877*s - 10533\/4.\nAnswer: (s - 3)*(s + 3511)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*d - 4*m + 290, 3*d + 244*m - 239*m - 67 = 399 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 1:08 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of j**8\/2100 + 2*j**7\/525 + j**6\/90 + j**5\/75 - 7*j**3\/6 - 7*j. Let s(h) be the second derivative of o(h). Factor s(d).\nAnswer: 4*d*(d + 1)**2*(d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10334?\nAnswer: 2, 5167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 16*x**2 + 17*x - 26. Let i be t(15). Let q be 5\/15 - ((-165)\/(-9) + 0). Let r = q + 54. What is the highest common factor of r and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 18 - 2)*(4*b - 2*b - 3*b)*(-b + 5*b + b).\nAnswer: 110*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/84 and -103\/1722.\nAnswer: 3444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*v + 4*v + 3*v**3)*(5*v + v + 0*v) - 2*v**4 + 2*v**3 - 3*v**2 - 2*v**3 to r*v + f + w*v**4 + h*v**3 + a*v**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 - (11 - (11 - (-15 - -14)))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -212 (base 3) to base 10\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.58 + -9.45. Let p = 0.13 - y. Which is the nearest to 0.2? (a) -2 (b) -1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -9\/43, 33, 1 in ascending order.\nAnswer: -2, -9\/43, 1, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 567 + -513. Let q = 26 - -10. What is the highest common factor of q and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2059 is divided by 65.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 12*r + 102. List the prime factors of l(31).\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21123249, 1, 0 in increasing order.\nAnswer: 0, 1, 21123249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 6*b - 2. Let o be -2 - 13\/(13\/22). Let n = o - -30. What is w(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/27)\/l**15*(l**5\/l)**7)**31 assuming l is positive.\nAnswer: l**(10943\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3771400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/7 bigger than 0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27613 + 121650. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 72.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12002222 (base 3) in base 4?\nAnswer: 322031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32985053 is divided by 1060.\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, p: 18}. What is prob of sequence cc?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(-1)\/2*0. Suppose -2*l = -8, -93*d + 4*l - 6 = -95*d. Suppose 6 = q + 2*q. Sort d, q, x.\nAnswer: d, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -512*i + 500*i + 132 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -g**5\/20 - g**4\/2 + 16*g**2 + 17*g. Determine l, given that j(l) = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(360)*1)\/sqrt(9) - -1*sqrt(80)\/sqrt(2))\/(sqrt(88)\/(-2*sqrt(1331) + sqrt(11))).\nAnswer: -42*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 48197258 - 1103?\nAnswer: 48196155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + d = 13, 4*d - 23 + 6 = 7*q - 10*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7712 - 7667.9. Which is smaller: 3\/17 or c?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 32?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5866380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6\/151 - -646\/1057. Let t = -179 - -178. Which is the nearest to 2? (a) l (b) t (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -3, -9 in decreasing order.\nAnswer: -1, -2, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48338121 and 1079.\nAnswer: 1079","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - n = -2*c + 4, 0 = -3*c - 3*n + 6. Find the second derivative of t - t + c*t**2 - t + 3*t wrt t.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.01189841 - 0.0119. What is l rounded to 7 decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2620725.12 rounded to the nearest 100000?\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5*1)\/((-3)\/(-6)). Let h(v) = -2*v - k - v**2 - 1 + 6*v + 6*v. Let r be h(8). Solve 2*f - 8 = -4*d - 0, 2*d - r*f + 8 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 23. Suppose m - 4*v + 14 = 0, 3*m + 3*v = -2 + p. Suppose -m*c + 0*o + 10 = 4*o, -4*c + 10 = 3*o. 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 = 175 + -175.0000017. Round t to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-18)*63\/42?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from ibiqq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 42*w**3 + 278*w**2 + 8*w - 1. Give x(-7).\nAnswer: -841","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.47 from -0.11882.\nAnswer: 0.35118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113268910?\nAnswer: 2, 5, 373, 30367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4, -4, 0.22, -17, -0.11, -0.2?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 148*r - 11. Let p(y) = 149*y - 8. Calculate -2*m(n) + 3*p(n).\nAnswer: 151*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 v when two letters picked without replacement from vrrvvr?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55\/(330\/1028)*(-30)\/(-4) is divided by 618?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -306 + 65.\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 38\/4 + (-5)\/10. Let n = 13 - x. Which is the second smallest value? (a) 2 (b) -2\/11 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 760387 by -3.\nAnswer: -760387\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2708152339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**3 + 105*f**2 - 272*f + 156. Determine t(-55).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 5*d - 4*t + 240, -238 = -4*d - 2*t. Calculate the highest common divisor of d and 236.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**2 + p**2 + 2*p**2 + 6*p**3 - p**2 to the form a*p**3 + d + h*p**2 + l*p and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 39531.1 rounded to the nearest one thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**3\/15 - 286*g**2\/5 - 3804*g\/5 - 7072\/3 = 0. What is g?\nAnswer: -8, -5, 442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(-3 + 5 - 1)*(4*o - 4*o + 2*o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 223*d. Let z(o) = 1923*o + 3. What is a(z(t))?\nAnswer: 428829*t + 669","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 31 - 6*q**3 - 31 + 62*q**2 + q + 61*q**2 - 141*q**2 as x*q**3 + i + v*q + f*q**2 and give f.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 47.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -22*l + 35. Determine s(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/16)\/(86\/(-8)). Let w = h - -355\/774. Calculate the common denominator of 2\/(-10) + (-3608)\/560 and w.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 4976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 11. Let r be 0\/(12 + -4) + 76 + 1. Let u be (3 + -2)*t\/r. Do u and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -6*b - 2. Let z be v(-3). Let k = 36 + -34. Solve k*d - z = -2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -3*k**2\/2 + 17076*k - 476952 = 0.\nAnswer: 28, 11356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x**2 + 40*x - 382. Let l be q(6). Solve -l*y - 2*d = -5*y - 13, -3*y + 3*d - 15 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f**1*f)\/f)**(2\/75)\/((f**(-6)*f)\/f**3))**(-38) assuming f is positive.\nAnswer: f**(-22952\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1234 (base 5) to base 16\nAnswer: -c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/((2 - 6) + 2). Suppose l = 4*z - 0*l - 8, -b*z + 4*l + 10 = 0. Factor 2 + z*f - f**2 + 2*f**2 - 1.\nAnswer: (f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15341600 rounded to the nearest ten thousand?\nAnswer: 15340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**2. Let y(c) = 88986*c - 88986*c - 16 + 0 + 3*c**2. Calculate r(y(b)).\nAnswer: 18*b**4 - 192*b**2 + 512","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.29, -3\/2, -2\/21, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 430243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 84 = -56. Let q be (-18)\/63 + 104\/a. Factor -q*y**2 + 3\/5 + 0*y + 0*y**3 + 3\/5*y**4.\nAnswer: 3*(y - 1)**2*(y + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1477 + -18529?\nAnswer: -17082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -159210.043 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**4 + 12*h**4 - h**2 + 0*h - 1 + h + 175*h**3 - 5*h - 177*h**3 to b + u*h**4 + j*h + x*h**2 + w*h**3 and give u.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 162 and 378.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 5\/29772?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4*x = 28, 5*x - 8 - 6 = -q. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 5942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 505 - -917. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-165)\/594*72\/(-30)*15561\/78\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*j**2 - 6*j**2 + 20*j**4 + 9*j**5 - 5*j**4 - 4*j**5.\nAnswer: 5*j**2*(j - 1)*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*b + 30*b + 2 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 7:08 AM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**3 + 548*i**2 + 23702*i + 3113. Calculate a(312).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*d - 59*d - 378 + 89 = 0 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2712a - -5?\nAnswer: 27132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 11) in base 12?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7 - 5*o**4 - 21 + 14 - 6*o**3 + 53*o**2 wrt o.\nAnswer: -120*o - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80 and 34941152.\nAnswer: 174705760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 53848131 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -108 to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 9 = 5*x - 4*x, -5*x = s - 30 + 54 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -3. Let n = -49 + 50. Which is the closest to n? (a) -5\/3 (b) -4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l = 10*l + 13045. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4599*f = 4268*f + 6620 for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of d**5\/20 + 3*d**4\/4 + 5*d**3\/6 - 5*d**2\/2 + 15*d - 7. Determine k(-8).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3204 = -12*a. Let k(q) = -5502*q**3 - 3*q - 2. Let x be k(-1). Suppose x = w + a. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 2310*w**2 + 4636*w**2 + 2 - 2321*w**2 - 170*w**3.\nAnswer: -170*w**3 + 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 98613.86 days?\nAnswer: 8520237504000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = s - 3*b, -s - 2 - 7 = -2*b for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 41749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*4\/(-3)*5. Suppose 3*g = -g + r. Suppose 0 = 4*z - g - 15. Calculate the remainder when 13 is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -5*n + 47, 0 = 4*n - 5*v - 18 - 8. Suppose 0*z + n = 3*z. Let a(u) = -1 + u**2 - u + 6 + z - 3. What is a(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 4) + 19 - (69 + -38)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 9:00 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 723.0307 nanometers in kilometers?\nAnswer: 0.0000000007230307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1835482 is divided by 333?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -16399997 + -3 + 0\/(-4). What is c rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**(-11)*i*(i*i**(-2\/11)*i*i)\/i*(i**2)**(-2\/179))**(2\/15))**21 assuming i is positive.\nAnswer: i**(-171024\/9845)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 491395, 491412, 491441, 491482, 491535?\n\"Answer: 6*w**2 - w + 491390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4*((-861)\/238 - 4\/(-34)). Is (p + 223)*1\/9*3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**35\/u*u**16*u*(u*u**(-2\/3))\/(u*u*u**(1\/27)) assuming u is positive.\nAnswer: u**(1331\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1174 + -1081. Solve j*a = 72*a - 21 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.08 (b) -1.7 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-21)\/27 + 6 + (-2)\/9. Let y(k) = k**2 + 2*k - 25. Let a be y(h). Let f be (-30)\/(-1 - 2\/(-3)). Calculate the highest common factor of a and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 3*j - 1, 2*j = -5*s + j - 6. Let c(d) = 3*d - 6. Let k be c(4). Suppose 0 = -2*g + 2*y - k, g + 0*g - 6 = -2*y. Put 0.1, s, g in decreasing order.\nAnswer: 0.1, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11.2 + -57.2. Let x = m + 45.02. Let k = x + -0.02. Sort -0.5, k, 2\/7 in ascending order.\nAnswer: k, -0.5, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(8\/(-50)*(-80)\/24).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1698*s**2 + 2*s - 1220 wrt s?\nAnswer: 3396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.29 - 1.71. Let k = f + 2.2. Sort 2, k, 2\/3.\nAnswer: k, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -175 + 675. Suppose x - 6*x + s = 0. Let l(h) = h**2 + 4*h - 7. Let n be l(-6). What is the greatest common divisor of x and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45 - -18. Find the common denominator of -39\/2 and ((-438)\/q)\/(2\/3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51 - -49. Let z(w) = -w**2 - 2*w - 3. What is z(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xy when two letters picked without replacement from lyxl.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -7, -3, 0.1 in descending order.\nAnswer: 0.1, -0.2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 1)*((2 + 20 - 5)*(200 + 43*j - 200) + (1 + 2 - 1)*(-4*j + 2*j + j) + 2*j - 5*j + 2*j + 3*j + 0*j - j) as a*j + n and give a.\nAnswer: -730","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/66 and 149\/17598.\nAnswer: 193578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.6 - -0.4. Sort w, -5, -2\/3 in descending order.\nAnswer: w, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69406, -138803, -208184, -277549?\nAnswer: -346898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1669 + 1651.63. Let a = -0.37 - n. Let b = -16.999991 + a. Round b to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.326779ug in grams?\nAnswer: 0.000003326779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -6*k**3 - 5*k**2 - 5*k. Let p = -639 - -634. Let a(t) = 9*t**3 + 8*t**2 + 8*t. Suppose 0 = -3*l - 9 - 15. What is l*u(h) + p*a(h)?\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((-5)\/(-35)*7). Is -0.82 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-2\/9)*g\/(g*(g\/g**4)\/g))**(-3\/31))**(3\/8))**24 assuming g is positive.\nAnswer: g**(-102\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 383 - -591. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**3 + 9*a**2 + 20*a + 13. Let o(f) = 8*f**3 - 36*f**2 - 82*f - 53. Let g(p) = 2*o(p) + 9*w(p). What are the prime factors of g(-6)?\nAnswer: 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 + 110110011101?\nAnswer: 110110100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -91.5091635 to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -c**2\/2 + 1. Let g = 843973 - 843975. Let y(s) = 21*s. Calculate g*y(u) - 54*r(u).\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 9*b**2\/2 - 13*b - 4. Is d(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58 + -54 - ((1 - 3) + 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*j + 81*j - 3838 + 1214 = 0 for j.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3*d = 6*y - 515988, 3*y - 3*d - 515994 = 0. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 67 + 1b756d?\nAnswer: 1b75d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 122043133 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*q - 97870 = 68405. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 5*m**2 - 89*m. Let p(f) = 10*f**2. Give d(p(s)).\nAnswer: 500*s**4 - 890*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -10. Let r be (0 + 9)*(-2)\/f. Suppose 5*l = -r*n + 5*n - 28, 4*l - 10 = -2*n. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 358699725 a multiple of 5675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -853252*d**3 + 2*d**2 - 12977*d + 8.\nAnswer: -5119512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 - ((-2 - (-10 + 7)) + 1 + (-3 - -1)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25.013 - 25. Let a = 0.287 + v. Let m be 8\/(0 - 32)*(0 - 0). Sort a, m, 2\/7, 0.2 in descending order.\nAnswer: a, 2\/7, 0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*h**4 - 4*h**4 - 38*h**4 + (3*h - 3*h - h)*(6*h**2 - 6*h**2 + 4*h**3) to l*h**2 + p*h + r*h**3 + v + g*h**4 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26424 is divided by 94?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-9))\/((-6)\/27*-3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211 is divided by 109.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -6*h**2 + 55*h - 112. Give l(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 312 and 195.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 5599 = 5607 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13490*a + 684 = -13433*a. Suppose -4*u = u - 1900. What is the lowest common multiple of u and a?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -15*b**2 - 14*b - 12. Let p(q) = 7*q**2 + 7*q + 6. Let o(m) = 2*i(m) + 5*p(m). Is o(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -2, 2, 4.5, -0.5 in descending order.\nAnswer: 4.5, 2, -2\/13, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -679581 = -29*o - 49*o + 29*o. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -4*m - 2*g + 22, -5*m + 4*g = -21. Let r(n) = 2*n - 1. Let j be r(m). Let b = 9 - j. Solve -12 = 3*t, b*o = -2*o + t + 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -722, -1434, -2146, -2858?\nAnswer: -3570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*t**5 - 446*t**4 - 14*t**3 + 204922*t**2 - 4*t - 6 wrt t?\nAnswer: 540*t**2 - 10704*t - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a factor of 2687351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 12*r**4 - 75*r**3 - 354*r**2 + 1533*r - 360 = 0.\nAnswer: -5, 1\/4, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1608 is divided by 27.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(-2 + 2 + -1). Suppose -18 = -3*s + 2*z - 6*z, 3 = 3*s - z. Let c(v) = -v + 2. Let r be c(s). Solve 4*d + b + 1 = r, 3*d - y*d = 2*b + 11 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 3*v + 15. Suppose -4*x + 5*x = -78*x - 85004. What is the hundreds digit of x\/(-10) - 2\/v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.247 + 1402689805?\nAnswer: 1402689804.753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.7 and 0.0044.\nAnswer: -0.6956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i**2 - 2*i - 1. Let u be a(3). Suppose 6*k - u = k. Suppose k = 5*m - 6. What is the least common multiple of 18 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1482076, 1481900, 1481724, 1481548, 1481372, 1481196?\n\"Answer: -176*l + 1482252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12*(14\/12 - 9\/(-27)). Suppose 3*z = s + 2*s, -2*s - 4*z + b = 0. What is the closest to -0.3 in 5, s, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1038 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -665446 (base 9) to base 13.\nAnswer: -10c011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/20 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 133 - -14. Let d = m - 147.5. What is the smallest value in -3, 0.4, d, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 617.8554 centuries to decades.\nAnswer: 6178.554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s + 30*s - 6*s)*(-3*s - 1 + 1).\nAnswer: -84*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 223563058*v*y**2 - 4941*v - 2989*y wrt y.\nAnswer: 447126116*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/9 + 2*f**2\/9 - 4*f\/3.\nAnswer: 2*f*(f - 2)*(f + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -5, -1, -19 in descending order.\nAnswer: 5, 3, -1, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2018 + -1996.825. Let b = 0.125 + f. Let v = -21.2889 + b. What is v rounded to 3 dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1897900 (base 12) to base 10.\nAnswer: -5176656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 399, 35003 in descending order.\nAnswer: 35003, 399, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -31. Suppose -654 = -9*z - w. What is the remainder when z is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/13 - 196*2500\/(-11375).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44517 + 44519. What is the nearest to -0.8 in 0, o, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2528 * -8\nAnswer: -2.0224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 11:09 PM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -1) + -5 + -11 + 12 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -401 - -10?\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 15*q + 10 = 0. Put 5, q, -2, 3 in decreasing order.\nAnswer: 5, 3, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1*sqrt(78)\/sqrt(6) + -6*(sqrt(52) - sqrt(13)).\nAnswer: -5*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x - 7. What is the remainder when (93\/6)\/(1\/2) is divided by f(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*o + 11*o - 24 - 880*o**3 + 76*o**3 + 2*o**2.\nAnswer: -804*o**3 + 2*o**2 - 34*o - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 w when three letters picked without replacement from wwxwwwqwqwwx?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-120))\/((-158)\/(-2528)).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*g + 1. Suppose 7*l = 14 - 0. Is l equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 305\/18 - 17. Find the common denominator of c and -73\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6831 is divided by 122.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - (3 - 3) - 0. Suppose -5*g + 3*q + 81 = 5*q, -2*g - s*q = -36. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of 0 - 1\/12*v**4 - 1\/6*v**3 - 1\/480*v**6 - 1\/48*v**5 + 0*v + 3*v**2. Factor r(x).\nAnswer: -(x + 1)*(x + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4813 + -4436. What is the highest common factor of y and 232?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 62 - 58. Let b be ((-84)\/392)\/((-12)\/16). Let x be (-30)\/7 - 4\/(-14). Put x, -0.5, i, b in descending order.\nAnswer: i, b, -0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q + 1. Suppose 11*p + 76*p - 10 = -97. Let h(a) = -2*a - 2. Let c = -3 - 0. Calculate c*z(d) + p*h(d).\nAnswer: 5*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 5. Suppose -i*t + 0*t = 0. What is the third derivative of t*b**5 - 8*b**2 - 5*b**5 - 2*b**5 wrt b?\nAnswer: -420*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven quarters of a decade?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30 - 32 - 2*t**2 - 7*t - 2*t**3 + 3*t + 60 to the form n*t**3 + d*t**2 + y + i*t and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1090241 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000154144748 rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 27934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 + 14*o + 24. Suppose -7*y + 10*y - 45 = 0. Let d be i(y). Suppose -4*k + k = -d. Solve -k*g + 15 = 2*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9294875 divided by -74359.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4\/5, -0.5, 9, 0.6 in descending order.\nAnswer: 9, 4\/5, 0.6, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*u = u + 32*u - 35574. What is the least common multiple of u and 726?\nAnswer: 5082","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355*y - 62*y = -486*y - 24*y - 40150 for y.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4320 rounded to the nearest 100?\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -30, -58, -82, -102, -118, -130?\n\"Answer: 2*y**2 - 34*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.6 - -2.4. Does -3 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 26, 48, 86, 146?\nAnswer: 234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 153*(-4)\/124 + 58\/(-899). Put f, -73\/11, -1\/2 in decreasing order.\nAnswer: -1\/2, f, -73\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-39)\/((c*c**(23\/5))\/c))**(-4\/5))**22 assuming c is positive.\nAnswer: c**(19184\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14733021?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of 53*w**5\/60 + w**4\/24 - 65*w**2 + 10*w + 1. Let a(z) be the first derivative of b(z). Let f(g) = -g**2. What is f(a(s))?\nAnswer: -2809*s**4 - 106*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/15 - 9\/(-5). Let n(z) = 2*z**2 + 8*z + 14*z**2 - 2*z**b - 3*z**2 + z**3. Let c be n(-10). What is the highest common factor of c and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3412112124 - 1023?\nAnswer: 3412111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of 71*c**7\/210 - 1067*c**6\/150 - 1177*c**5\/100 + 1099*c**4\/60 + 553*c**3\/15 - 16*c**2\/5 + 1158*c + 2. Solve t(g) = 0 for g.\nAnswer: -1, 2\/71, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-56))\/(-4*(-49)\/(-224))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1))**(1\/26))**(1\/11)*((t**(2\/7))**(-27))**(19\/3) assuming t is positive.\nAnswer: t**(-97819\/2002)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 4*t**3 - 668*t**2 + 5088*t = 0.\nAnswer: 0, 8, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -283, -566, -861, -1174, -1511, -1878, -2281?\nAnswer: -2726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10111000000001000 (base 2) in base 10?\nAnswer: 94216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -4 + 19 + -3 + -7 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48097\/4 + 12165. Which is bigger: x or 141?\nAnswer: 141","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v - 13*v + 178 + 572 = 0 for v.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, -1108, -2\/7, 177 in descending order.\nAnswer: 177, -2\/7, -4\/9, -1108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by 1\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -11*x**2 - 13*x. Let o(v) = -12*v**2 - 14*v. Let p(a) = -4*o(a) + 5*s(a). Find the second derivative of p(n) wrt n.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/4*(-6)\/(-1). Suppose 4*l - 8 = -n + 16, -2 = -2*l. Suppose 10*k + n = 6*k + 5*h, -2*k - 4 = -h. Solve -o*r + 0*r = -a + 11, a + 2*r + 9 = k for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 - 16\/(-4) - -2*(-3)\/(-6)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/50)\/((-6)\/(-30)))\/(25\/750).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 120\/(4 - 655\/160). Let h = b - -38231\/30. Calculate the common denominator of h and 39\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-130)\/60*6 + 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 975713 to the power of 1\/3, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2 = 0, -939 = -5*o + 6*c - 3*c. Calculate the remainder when o is divided by 87.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-18)*t)\/t**(1\/3) assuming t is positive.\nAnswer: t**(-49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -3*n + 76, -2*m - 10 = -6. What is the remainder when 407 is divided by (12\/(-10))\/(n\/(-1610))?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, -5\/2, -2\/7, -1\/6?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4485*w**5 + 1960*w**3 - 205*w**2 + 2*w + 634 wrt w.\nAnswer: 269100*w**2 + 11760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.04 + 0.34. Let z be (-4)\/24 + (-2)\/(-12). What is the closest to z in l, -1\/4, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -4823*n + 1. Let l(h) = -5*h**2. What is l(t(d))?\nAnswer: -116306645*d**2 + 48230*d - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/2)*(c\/c**(1\/2))\/c*c)**(-41) assuming c is positive.\nAnswer: c**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1113300 to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2 - 163453064*g - 326906112.\nAnswer: -4*(g + 2)*(g + 40863264)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5755 + -5739. Sort 27, v, -0.5 in increasing order.\nAnswer: -0.5, v, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0166949 plus -290?\nAnswer: -290.0166949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1304 and 20?\nAnswer: 26080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 3 - 1601*f + 8 - 560*f to the form a + s*f and give s.\nAnswer: -2161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-60)\/44*36\/10. Let w = 237\/55 + d. Let a = 782 + -779. Sort -3\/4, a, w.\nAnswer: -3\/4, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65125.2l to millilitres.\nAnswer: 65125200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**5\/4 + 11*z**4\/2 - 77*z**3\/2 + 92*z**2 - 5*z\/4 - 275\/2 = 0. Calculate z.\nAnswer: -1, 2, 5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130396010.\nAnswer: 2, 5, 239, 54559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*c**2 + 2*c**3 + 2*c**3 - 3*c + 18*c**2.\nAnswer: 4*c**3 - 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*2\/24)\/((-55)\/363).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76680 and 571320.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 3*a + 2. Let g be w(-4). Let u = -60577 + 60580. Solve -u = g*n - 15 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5803.393 nanograms in kilograms?\nAnswer: 0.000000005803393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*r - 22 = 57*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s. Suppose 56*p - 8 = 52*p. Let n(h) = 12 - 3*h + p*h - 3*h - 2*h. Determine n(a(m)).\nAnswer: -6*m + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -148.467.\nAnswer: -148.667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 3 + 3)*(4*w - 2*w + 2*w + (-1 + 1 + 1)*(w + 4 - 4)).\nAnswer: -25*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.6 + 4.2. Which is the nearest to -7? (a) -0.1 (b) -3\/2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 152 - 14?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 90633?\nAnswer: -9062c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -1.8. Let p = -65 - -23.4. Let d = 42 + p. What is the nearest to 1\/4 in 5, d, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(77\/(-1540)*(-6)\/3).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/3)\/(4\/18). Let y(j) = -5*j + f*j + 3*j. Let a be y(1). Let o(w) = 4*w + 1. Give o(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16694?\nAnswer: 2, 17, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 3 + (-3 - 6) + 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/((-14)\/(-3)))\/(4\/2).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - m**3)*(2*m - 5*m + 3 - 4).\nAnswer: 3*m**4 + m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47697372 divided by -87039.\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 81263\/47 - (-3 - (-1 - 8\/4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((1932\/18)\/(-7))\/((-2)\/3). What is the greatest common factor of v and 230?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 4*o = 449 - 459, 2*o = -8*c + 16 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (15 - 7 - (4 + 0))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 64*c**2 + 790*c + 114. Give h(48).\nAnswer: 1170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 168 - 43. Suppose 14*b - 15*b - z - 31 = 0, -2*b - 38 = -4*z. Which is greater: b or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001747495 to five dps.\nAnswer: -0.00175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -235*b. Let o(l) = -556*l. Calculate o(z(p)).\nAnswer: 130660*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31.8 - 31.6. Sort t, -95, 3 in decreasing order.\nAnswer: 3, t, -95","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.085689 to 4 dps.\nAnswer: 0.0857","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 23*t + 50. Give u(10).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -415, -80, 255?\nAnswer: 590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -28214.6 rounded to the nearest ten?\nAnswer: -28210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -7 - 5. Let o = n + 16. What is the greatest common factor of 13 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-3)\/(9\/(-12)). Let x be (-5 + 3)\/(a\/6). Which is greater: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/39 - 96\/52. Let z = 0 - t. Let i(c) = -7*c**2 + c + 7. Let j(n) = 22*n**2 - 3*n - 24. Let p(o) = 7*i(o) + 2*j(o). Determine p(z).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, k: 7, m: 1, p: 1, q: 5}. What is prob of picking 2 q, 1 m, and 1 k?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 411100001 - 3424?\nAnswer: 411041022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13097 - -18731. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(6*(sqrt(2) + -2))**2.\nAnswer: -432*sqrt(2) + 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24000 and 525.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 92820136?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-24)\/(-15) - (-2)\/5. Let k be (51 - -2) + z\/1. What is the common denominator of 10\/k + (-697)\/22 and -29\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 417.998174 + -418. What is b rounded to five dps?\nAnswer: -0.00183","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, l: 1, s: 2, t: 2}. Give prob of sequence eslt.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29448846 and 588?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -16437, -65757, -147965, -263061?\n\"Answer: -16444*u**2 + 12*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 2*u**2 - 2*u + 4. Let w be i(2). Suppose -4*t + 427 + 565 = w. Calculate the greatest common divisor of t and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pukrkrhrr. Give prob of picking 1 r and 1 h.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 2 n, and 1 m when four letters picked without replacement from lnmmmmlnmmns.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**3 + 15*f**2 - 573*f - 122. Calculate d(-21).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 312 + -294. What is the greatest common divisor of z and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 + -1551*16\/768.\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -927.4, 44\/3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**2\/x**(-3) assuming x is positive.\nAnswer: x**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1, 5196, -9, -5, -2 in increasing order.\nAnswer: -9, -6, -5, -2, -1, 5196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by -1*15\/(-3 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 0*s - 1\/2*s**4 + s**2 - 1\/2 + 0*s**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**4 - 2*m**4 + m**4)*(-8*m - 4*m + 4*m)*(10 - 9 - 33).\nAnswer: -256*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0796498706 to 5 dps.\nAnswer: 0.07965","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52861 = 7*d - 168004. Let o = d + -6627. Suppose -8*g = -14*g + o. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 4148?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 323 and 114.\nAnswer: 1938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3225174 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/920 and 23\/9608.\nAnswer: 1104920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 1. Let x(y) = y**2 + 14*y + 1. Let k be x(-14). Let l(a) = -3*a - 1. Give k*l(d) + 3*b(d).\nAnswer: -3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -679?\nAnswer: -677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*(a\/(a*a**20))\/a*(a*(a**(-1\/4)*a)\/a)\/a*(a**(-2)\/a)**(-4) assuming a is positive.\nAnswer: a**(-33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -931, -2720, 5, 0.4 in decreasing order.\nAnswer: 5, 0.4, -931, -2720","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 108*n**3 - 1893*n**2 + 943*n**2 - 18 + 949*n**2 - 4 - 1 wrt n?\nAnswer: 648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 2*n, 3*n + 8 = 3*j + 5*n. Let i be (15 - 10)*(0 - 1). Put j, 5, i in ascending order.\nAnswer: i, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 25*t**2 + 8*t + 55. Let j(l) = l - 621*l**2 + 8 - 63 + 594*l**2 - 10*l. Let x(p) = -5*j(p) - 6*w(p). What is the derivative of x(m) wrt m?\nAnswer: -30*m - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -10*m**3 + 9*m**3 - m + 6*m**2 - 21 + 15. Let x be (6\/5)\/(2*(-5)\/(-50)). Calculate j(x).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -39, -299, -1063, -2589, -5135, -8959?\n\"Answer: -43*f**3 + 6*f**2 + 23*f - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**4 + 216*x**3 - 3092*x**2 - 3648*x + 209664 = 0. What is x?\nAnswer: -7, 13, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (21 - (-6 - (-7 + 1)) - -6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 576?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 450 and 92970?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of 2*o**3\/3 - 3*o**2. Let g = 18 - 9. Let w(h) = -h + 16. Let u(b) = g*l(b) - 2*w(b). What is u(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.046 + 0.04752. Round s to four decimal places.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/49)*c*c**20*c**(2\/35)\/c**(1\/8) assuming c is positive.\nAnswer: c**(41107\/1960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 894 divide 6443952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/132*14\/(14\/3)\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of 2*a**2 + a - 644. Let l(k) = -3*k - 2. Give 4*l(b) + 6*y(b).\nAnswer: 12*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4 + g**2 + 2*g**3 - 6*g - g**3 + 6*g. Let f be a(-2). Solve f = -w + 5*w - 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (600\/(-180))\/((2\/(-4)*3)\/((-2052)\/(-48)))\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15524 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 635607 and 27702?\nAnswer: 1539","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 + 8)\/(-3) - -8. Let x(n) = 8*n + 17. What is the tens digit of x(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.35 + -0.259. Let x = -0.09099943 + p. Round x to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 222 = 5*y, 0 = -4*y - 2*m + m + 177. Solve -6*p - 2 + y = 0 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 1308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**2 + 37645715*n = 0. What is n?\nAnswer: -37645715, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -4\/7, 8 in decreasing order.\nAnswer: 8, 5, -4\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4349.7 + -4354.7. Put 0.4, -32, 5, j in decreasing order.\nAnswer: 5, 0.4, j, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2139*o - 12320 = -2153*o. What is the remainder when o is divided by 870?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3*k. Solve -o - 4 = -k*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 17*x**2 + 30*x + 12. Let k be z(15). Suppose -145*b - k = -149*b. Let n be (-2 + 0)\/2 + 1. Solve 2*s + s - 3*c - b = n, 4*s = c + 1 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-89)\/1)\/(1 + -2). Let n be w\/(-30) + (3 - 1). Let p = -3\/10 - n. Sort -0.2, 0.4, p in ascending order.\nAnswer: -0.2, 0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 9\/4523?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 111 + -163. Let s = z + 159. Suppose s = k + m, -3*k - k = -3*m - 442. What are the prime factors of k?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1354 is divided by (32\/80)\/((-4)\/295)*(-24 - -22).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 56\/(-4)*2\/(-7). Solve -m*l**4 + 17*l**2 - 26*l**2 + 4*l**3 + 17*l**2 = 0 for l.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -165 + 257. Let h = f - 77. Find the third derivative of -3*j**2 - 41*j**5 + h*j**5 - 8*j**2 wrt j.\nAnswer: -1560*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express v**2 + v - v + 5 + 5*v**2 - 5 + (-3 + 3 - 2)*(-2*v**2 + 0*v + 0*v) - 3*v**2 + 2*v**2 + 0*v**2 as o*v**2 + z*v + h and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -53 - -47. Let j = 19 + n. What is the first derivative of -24*c**4 + 6 + j + 4 - 5 wrt c?\nAnswer: -96*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.0328 and 0.76279.\nAnswer: 2.79559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 take away 8020?\nAnswer: -8020.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/5 + 86*u**2\/5 + 17*u.\nAnswer: u*(u + 1)*(u + 85)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (233 + 382*s**2 - 233)*(0*s + 6*s - 17*s) + 3*s**3 + 0*s**3 - s**3 to the form g*s**2 + c*s**3 + f*s + u and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 805 - 55. Let d = 777 - n. Solve 32*g = d*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36413?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -7*b. Let u(s) = -15*s. Let h(y) = -7*n(y) + 3*u(y). Let r(c) = -64*c. What is h(r(o))?\nAnswer: -256*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/22*-2 + (-59045517)\/(-2343). Does l = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 - 17 - 13 - 48 - 13*d to t + x*d and give x.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1222*v - 16080 = 386*v for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 93, -1\/10, 2\/5, 1082 in ascending order.\nAnswer: -1\/10, 2\/9, 2\/5, 93, 1082","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 43742.\nAnswer: 2\/21871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*k**3)*(2*k + 3*k - 4*k + (17 + 3*k - 5*k - 25)*(3 + 2 - 7 + (2 - 5 + 2)*(0 - 2 + 4) + 6 - 3 + 3)).\nAnswer: 6*k**4 + 32*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1540 is divided by 174.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n - 60. What is w(22)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**15)**25\/(m**(2\/49)*m*m**11) assuming m is positive.\nAnswer: m**(17785\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/6*-1*2. Let a be 21\/6 + q\/2. Suppose 5*h - y = -3500003, 2*y + 2799985 = -4*h - a*y. Round h to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/3)\/(3\/9). Let v(d) = 5*d**2 - d - 1. Let h be v(i). Suppose h*b = -2*c + 6*c + 33, 4*c = -3*b + 7. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -303 + 3\/(3\/2). Calculate the remainder when 1*4*(-87)\/(-6) is divided by u\/(-21) + (-2)\/(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1967, 7698, 17251, 30626?\n\"Answer: 1911*x**2 - 2*x + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c752 + -156?\nAnswer: c5eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 5*s**2 + 12025*s + 4050000 = 0.\nAnswer: -2000, -405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 w when three letters picked without replacement from mwxmmmxmw.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1541 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: Let u(f) = -7*f**2 + f + 4. Let a(b) = -22*b + 152. Let p be a(7). Give u(p).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -751*b + 1507. Let g be f(2). Sort 2, -4, g, -31, -1 in decreasing order.\nAnswer: g, 2, -1, -4, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -548, -687, -926, -1265?\nAnswer: -1704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1586 + 22195\/14. Let d be 3 + (-2 - (-14)\/2). Suppose -5*x = d*l - 6*l + 11, 0 = 4*x + 2*l + 10. Which is smaller: c or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 59290 and 9729610.\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000888226 to 4 decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/8 of a centimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + m)*(4 - 3 - 2)*(-6 - 4 + 2).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9.37 and -0.16?\nAnswer: 1.4992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3000) + (sqrt(3000) - sqrt(3000)*-5))\/(sqrt(48)\/(sqrt(80)\/sqrt(10))).\nAnswer: 70*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144*v**3 + 273*v**3 - 142*v**3.\nAnswer: -13*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.054 + 0.396. Let h = -0.85 + v. What is the fourth biggest value in -4, 3, 0, h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13636.3*-85\nAnswer: -1159085.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 336 and 448?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 745, 1446, 2073, 2590, 2961, 3150, 3121, 2838?\n\"Answer: -6*s**3 - s**2 + 746*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 - ((1 - 4) + -3 + 4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 15*k**2 - 1087*k + 7. Determine s(-41).\nAnswer: 868","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*r**2 - 520 + 520)*(-2 + 1 + 0) - 2*r**2 - 9*r**2 - 11*r**2.\nAnswer: 11*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, p: 1, o: 3, b: 3, k: 3, i: 2}. What is prob of picking 2 f and 1 b?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*b + 4*l, 3*b - b = l - 4. Let n be 1\/b - 311\/(-40). Let v = n - 15\/8. Find the common denominator of v and 7\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 390 and 65.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -6*i - 4. Let f(b) = -b - 1. Suppose -22*m + 7 = -29*m. Give m*g(u) + 4*f(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k**2 - 7*k**3 + 3*k**2 + (-1 + 1 + k)*(3*k**2 + 0*k**2 + 0*k**2) to the form s + w*k**2 + r*k + x*k**3 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 1\/87751?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 9408*x**3 - 6*x**2 + 16*x + 4. Let d(s) = -18815*s**3 + 11*s**2 - 28*s - 7. What is -4*d(z) - 7*h(z)?\nAnswer: 9404*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -538, 5, 7 in decreasing order.\nAnswer: 7, 5, 0, -538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-8\/7)*v\/(v\/v**(-5\/11)))**(1\/52) assuming v is positive.\nAnswer: v**(-123\/4004)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3087 by 17920.\nAnswer: -441\/2560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1815\/((54\/180)\/((-2)\/(-10)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*b - 11. Let f(t) be the first derivative of t**3\/3 - t**2 + t - 1. Let g be f(b). Solve 0 = -2*c + 2*j + 10, 4*c = 5*j + g + 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50 - -295\/6. Suppose 2*m + s = -s + 20, -3*s = -m - 6. Suppose -5*p = m + 9. Sort p, g, -2\/3 in increasing order.\nAnswer: p, g, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.9 less than or equal to -7\/313?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/19 + 5310786*v**2\/19 + 3525558647616*v\/19 + 3525553336832\/19.\nAnswer: 2*(v + 1)*(v + 1327696)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/147942 and -22\/172599.\nAnswer: 1035594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1099\/10 - 549\/5. What is the second biggest value in d, -1, 1\/4, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**27*m**6*m**(1\/16)\/(m*m*m*m\/(m\/m**(2\/5))))**23 assuming m is positive.\nAnswer: m**(54579\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*s**3 - 20 + 21 + 3*s**3.\nAnswer: 11*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2063 and 0.815321.\nAnswer: 0.609021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k - 11. Let u be m(-8). Suppose 0 = 2*y - 60 + 144. Let w be 183\/y + 2 - 4\/28. Is u at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 13\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1202 - 1201. Which is the fourth biggest value? (a) -3 (b) o (c) -28 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 35377 (b) -0.3 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79, 36, -39, -146, -285, -456?\nAnswer: -659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 221060 and 560?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 63.84 + -64. Let y(a) = a**3 + 9*a**2 - 38*a - 21. Let n be y(-12). What is the second biggest value in w, 4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4da37 (base 16) in base 4?\nAnswer: -1031220313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18 and -43.\nAnswer: 774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (74*o**2 - 75*o**2 + 0*o**3 - 2*o**3)*(5 + 1 - 5)*(-o + o + 2*o).\nAnswer: -4*o**4 - 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 19*o**2 - 20*o + 12. Let u be w(-18). Calculate the highest common divisor of u and 304.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68093?\nAnswer: 149, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000837808 rounded to 6 dps?\nAnswer: -0.000838","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*d**4*j**3 + 2*d**4 + 5*d**3 - d**2*j**2 + 183*d*j**3 wrt d.\nAnswer: 144*d*j**3 + 48*d + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*15\/(-9)*(-53)\/(-10600)*-25.\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 87034, 87290, 87546, 87802, 88058, 88314?\n\"Answer: 256*t + 86778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**4 + 44*y**3 - 262*y**2 + 364*y.\nAnswer: -2*y*(y - 13)*(y - 7)*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 11*i**2 + 27*i + 4. What is the remainder when 1692 is divided by d(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50673 is divided by 7288?\nAnswer: 6945","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*t**4 - 8*t**4 + 21*t**4 + (-3 + 2 + 3)*(-4*t**2 + 4*t**2 + t**4) + 665*t**4 - 178586 + 178586 as m + l*t**3 + h*t**4 + j*t + a*t**2 and give h.\nAnswer: 676","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 638 and 28.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 26 + 27)*(3 - 3 + v)*(65 - 65 + 11*v).\nAnswer: 242*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 690 and 6?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 7 = 3*t, 0 = -85*l + 81*l + 9*t + 31 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -4.2. Let d = -0.8 - o. Let q = -56\/305 + -1\/61. Which is the closest to d? (a) q (b) 1\/3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*a - 15*a = 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 12 = -0. Let i(y) = -9*y + j + 2*y + y**2 + y. Give i(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162810817?\nAnswer: 13, 12523909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35 and 16240?\nAnswer: 16240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -73\/8 >= -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*1243922\nAnswer: -497568.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 5*x + 14, 0 = -2*h + 7*h + x - 22. Let o(t) = t + 0*t + h - 2 + 1. Let z be o(-3). Let p(d) = -d**2 + d - 4. Calculate p(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 773*p**3 - 1538*p**3 + 779*p**3.\nAnswer: 14*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-224)\/24)\/1)\/((-45)\/(-135)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.1208 to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 2\/19 (c) -2\/5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 218\/461209 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llhlr. What is prob of sequence lrl?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 165\/(-2145) + (-2)\/(-26)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - w - w - 8 = 0, -u = 2*w. Let g = 1.158 - -47.142. Let f = 46.3 - g. Which is the nearest to 2? (a) u (b) 2\/13 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1295080?\nAnswer: 2, 5, 32377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(605)*-1 + 3 + sqrt(605) + sqrt(605) + (sqrt(605) - (sqrt(605)*-2 + sqrt(605))) + -1 + sqrt(605) + 1 + 3)**2.\nAnswer: 1056*sqrt(5) + 38756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, k: 2}. Give prob of sequence yyk.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**4 - 64*p**3 - 770*p**2 + 29224*p - 28392.\nAnswer: 2*(p - 26)**2*(p - 1)*(p + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -68*o + 172 + 100. Solve 3*v - 20 = o*q, -v - 2 = q + 3 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r - 14. Let t be u(7). Suppose 2*n + t*n = 332. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 - f**2 - 9*f**2)*(-3*f**3 + f**2 - f**2) + 2*f + 19070*f**4 - 19070*f**4 + 166*f**5.\nAnswer: 193*f**5 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) -6 (c) 2\/41 (d) 34 (e) -2\/45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 s when four letters picked without replacement from dssssddddd.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2334 greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -4 (b) 1\/12 (c) -2\/5 (d) -13 (e) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 15 = -5*z - 2*k, -4*k - 32 = 2*z. Let i = -6 - z. Let v(q) = q**3 + q - 6. Determine v(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-3) - 2) + 1. Let a be n\/(0 - (1 + 0)). Suppose 3*k = 15 - 0. Sort a, 2, k in decreasing order.\nAnswer: k, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/36 and -1*3*2 + -9 + (-21743)\/(-1428).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-6) - 1 - (-11244)\/9 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/5 - (2 - -1). Solve l = 2*f - 0*f + 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99097467.\nAnswer: 3, 7, 4718927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3 + 58616*n**2 - 428363562*n - 16362566604.\nAnswer: -2*(n - 14673)**2*(n + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1259\/78 + 25\/39. Find the common denominator of 25\/8 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-4 + 3*4*(sqrt(80) + 4 + sqrt(80) + 4)*-6)**2 + -1).\nAnswer: 668160*sqrt(5) + 1995279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = f - 3. Suppose 132 = f*r - 16. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) -26.79 (c) 0.1 (d) -2 (e) 1179\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 101 = 89 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dwt when three letters picked without replacement from {t: 1, w: 3, d: 2, o: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 231.\nAnswer: 2\/231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 2\/253 (c) -10.8 (d) -0.3 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 330027.\nAnswer: 3, 23, 4783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 308, 55, 1, -0.16, 0.4 in increasing order.\nAnswer: -0.3, -0.16, 0.4, 1, 55, 308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 647.0631l to millilitres.\nAnswer: 647063.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41 - -282. Let f = h - 245. What is the nearest to 2\/7 in f, -1\/2, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + -10 + 31 + -10.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -325*g + 1131. List the prime factors of n(-10).\nAnswer: 13, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/18 - 7\/9. Let h be (20\/(-12))\/(j\/12). Suppose 110 = 5*o + h. What is the greatest common factor of 198 and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665\/19*((-7)\/(175\/(-60)) - 2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.79852 rounded to 1 decimal place?\nAnswer: -10.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193666.\nAnswer: 2, 11, 8803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41.25 + -41.05. Which is the nearest to 0.1? (a) -2\/261 (b) 0.4 (c) o (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -127400, -254806, -382236, -509696, -637192, -764730, -892316?\nAnswer: -1019956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8054.\nAnswer: 2, 4027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 5 - (5 - (7 + 4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*b - 246*b - 261 = -118*b for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7671005075 rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 1674.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5053 - 11486 = -73*x + 3171. Let m(s) = -s + 13. What is the remainder when x is divided by m(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*-272962\nAnswer: 545924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 9 + 10)*(0*y**2 - 5*y**2 - 6*y**2) to v + l*y**2 + q*y and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 4*z - 4, 2*z - 9 = -z. Let w(y) = -y**3 + 7*y**2 + 5*y - 8. Determine w(v).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + 69\/6*12. Let i be b\/36 + 4\/18. Solve r - i = -1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**4\/3 + 21619*z**3\/3 - 51875874*z**2 + 371838632420*z\/3 + 8634878875912\/3 = 0.\nAnswer: -23, 7214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o**2. Let q(x) = 11*x + 2587. What is y(q(r))?\nAnswer: 484*r**2 + 227656*r + 26770276","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2176*w - 2764*w - 3608*w to the form l*w + j and give l.\nAnswer: -8548","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 47 and 323454?\nAnswer: 323454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {c: 4, l: 3, b: 7}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1295 * -3174.4\nAnswer: 4110848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.6 - -12.4. Let j = m + -12.9999965. What is j rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 125 + -33 - 34 - 39\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 181528962?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24041114 - 244?\nAnswer: -24041413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 257 - 532 - 3*z**2 + 275.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4*d - 2570 = 0, 3*d - d = -8. Is -2 + 15\/5 + z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00044707538 rounded to seven decimal places?\nAnswer: 0.0004471","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.3 - -3.3. Sort -1\/10, o, -4\/9.\nAnswer: o, -4\/9, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*h**2*n**6 - 6*h**2*n**3 - 12*h**2 + h*n**2 - 3*n wrt n?\nAnswer: -360*h**2*n**3 - 36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/7 and -17\/78.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -215.11 + 1\nAnswer: -214.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -8 - (5 - (-3 - -10) - 6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.3 + -0.7. Suppose -38*o + 442 = -1420. Let n be 10\/8 - o\/(-28). What is the second biggest value in 0, -0.12, n, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (186\/558)\/(56\/57 + -1). Sort g, -8, 1 in descending order.\nAnswer: 1, -8, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 277.446777 to two dps.\nAnswer: 277.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-5)*(39680\/(-3200))\/(8\/25)\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s - 36. Let g be p(24). Suppose -9*v + g*v = 387. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -151\/706 or 0?\nAnswer: -151\/706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 21219504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -7*b + 42. What is m(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6400 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 149605, 149517, 149409, 149275, 149109, 148905?\nAnswer: 148657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 8*z + 2. Suppose 192*p + 48 = 208*p. Let n be -2*(9\/(-2) - -2). Suppose q + n*v - 11 = 12, -p*q = 3*v - 9. Calculate i(q).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1\/6)\/(3\/51) and 29\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*l**2 + l + 5*l**3 - 61*l**2 - 2*l + 4 + 26*l**2 to y*l + z*l**3 + b + c*l**2 and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 201586 and 2178?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -6*z - 1836. Let a = 1552\/5 + z. Factor 8\/5 + 18\/5*i**3 - 32\/5*i - a*i**2.\nAnswer: 2*(i - 2)*(i + 1)*(9*i - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 637 and 147?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1744 - -2958. Calculate the remainder when u is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**3 + 6*q**2 - 2*q + 3. Let d be o(4). Let j be ((-2)\/(-3))\/((-6)\/d). Let k = 24 + j. Sort 2\/21, 0.05, k in descending order.\nAnswer: 2\/21, 0.05, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*x = 31*x - 1230. Suppose -x + 17449 = 19*q. What are the prime factors of q?\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2197274?\nAnswer: 2, 19, 53, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g**4\/3 + 98*g**3\/3 + 208*g**2\/3 - 242*g\/3 - 24 = 0. Calculate g.\nAnswer: -9, -4, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 72 in 5, -2\/9, 1\/2, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 74*a**3*h**3 + 85768*a**3 + 2*a**2*h + 196318*a*h**3 wrt a.\nAnswer: 444*h**3 + 514608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3+0.0370398889\nAnswer: 3.0370398889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b - 262 + 255 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1339335096.\nAnswer: 2, 3, 11, 809, 6271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 + -6)*96\/(-18). Solve -24*p = -28*p + b for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7939 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1795 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4794 and 136?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*k - 57*k + 18 = 3*q, -2*q = -5*k - 24 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in 7, -40, 0.04, 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) -6.2 (c) -1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*l = -7*l + 108 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34\/25*b + 4\/25 + 6\/5*b**2.\nAnswer: 2*(b + 1)*(15*b + 2)\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.6, -6, 0.5, 14, 5\/2.\nAnswer: -6, 0.5, 5\/2, 2.6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((0 + sqrt(448))**2 + 3) + (-1 + (-1*sqrt(847) - sqrt(847)))**2*-1.\nAnswer: -2938 - 44*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3331 + 84*b**2 - 3331)*(-2*b + b - b)*(-3 - 2 + 7) in the form o*b**3 + c*b + v*b**2 + q and give o.\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 99362?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*m + 7146*m**3 + 77*m.\nAnswer: 7146*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21469.\nAnswer: 7, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/5)\/a**32)\/((a*a*(a*(a\/a**24)\/a)\/a*a)\/(a**(-10)*a)) assuming a is positive.\nAnswer: a**(-99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -5*t - 19. Suppose 0 = y - s - t, y + s - 5 - 3 = 0. Suppose 0 = -8*h + y*h - 5. Solve -u = h*i - 29, 3*u - 5*u + 13 = i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q. Let o(h) = -14*h + 35. Let x(l) = -1. Let z(m) = 4*o(m) + 140*x(m). What is a(z(u))?\nAnswer: 112*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kc when two letters picked without replacement from ckooeeeekeoe.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 6 * 41757863\nAnswer: 250547178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/6)\/((-6)\/(-3))*6720\/(-2016)?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1674 and 50406.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 9. Suppose 0 = 3*d - 5*v - 16, -10 = -3*d - 0*v + 2*v. Suppose -w*x - d*j - 3*j + 67 = 0, 15 = x + 3*j. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -518\/259639?\nAnswer: -518\/259639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(16\/32)\/(2\/(-1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13826066*h**3 + 21827292*h?\nAnswer: 82956396*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y**2. Suppose 4*v + 23 = 3*o + 9, 3*o = -4*v - 2. Let h(a) = 16*a**2 - a**2 - 15*a**o - 3*a**2. Give h(u(p)).\nAnswer: -27*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1366 - 236 + 2914 + 3810 = -119*f for f.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11 - -433775?\nAnswer: 433764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -22 (b) -6 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 968070111 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 - 1)*(2*n + 1 - 1)*(-2*n + 0*n + 3*n).\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 773\/12 + -233\/4. Let f = 501826322341\/3262 + -153840077. Let v = f + -3\/466. Calculate the common denominator of g and v.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 + 82. Let v be -31*4*(-2)\/8. Calculate the greatest common factor of x and v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4175.7 (b) -2\/5 (c) -0.3 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-92 - 7) + (18 - 19) + 15?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*q + 95*q**3 + 23*q + 128*q - 315*q**2 - 5*q**4 + 120*q = 0.\nAnswer: 0, 1, 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + 21*b + 183. Calculate the remainder when t(23) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3778, 3785, 3774, 3739, 3674, 3573, 3430, 3239?\n\"Answer: -f**3 - 3*f**2 + 23*f + 3759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-2 - (0 - -2)) - 4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*d**2 + 80 - 80.\nAnswer: -50*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -428851900*b - 134692996 wrt b?\nAnswer: -428851900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*(sqrt(153) - (2 + (sqrt(153)*-1)**2)) + -2*(sqrt(153) - ((1*sqrt(153)*2 - sqrt(153)) + sqrt(153)))**2*-1)*-1.\nAnswer: -6*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 23 = 3*s, 13*u + 5*s - 3102 + 3227 = 0 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9753.2 minus -24973?\nAnswer: 15219.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 5\/(-2))\/((-345)\/(-24) - 14). Sort t, -863, -2, 3, -4 in descending order.\nAnswer: t, 3, -2, -4, -863","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (-32 + 0 + (-4 - -14)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6\/5 (b) 91 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4cba + dd?\nAnswer: -4bcc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146 = -z + 2*z. Let j be ((-153)\/(-28))\/(z\/12). Let r = j - 3\/146. Which is greater: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 1)\/(-11 + 9). Find the common denominator of (k - 2) + (-43)\/7 and 16\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10313*w**3 + 10428*w**3 + 43 + 10284*w**3 - 31027*w**3.\nAnswer: -2*w**3 + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, -9, 133?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.2 (b) 6\/31 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 6*k**2 - 10*k - 2. Suppose 6*w + 0*w - 48 = 0. What is the tens digit of r(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.09 and 0.1685127.\nAnswer: -0.015166143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 31*n + 684. Let m be l(-22). Suppose 3*c - 73 + 4 = 0. What is the remainder when 68 is divided by (c\/m)\/(-4*(-3)\/24)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 6*p**2 - 2*p**2 + 5*p - 3 + 4 - 3*p**2. Determine d(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 + -1 + 2 + -4)\/1. Let l be ((-2)\/3)\/((-1)\/3). Suppose -3*s + 2*i = -2*s - 8, 5*i = s - 20. Solve s = -l*n - 2 - g for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c*c**(-4)*c*c*(c*c**(-12\/5))\/c)**(2\/7))**(-41) assuming c is positive.\nAnswer: c**(82\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 662480?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4251?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 less than 34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 y when two letters picked without replacement from {a: 3, y: 17}.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3*h**2 + 57*h - 345. Calculate u(6).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -168 - -313. Suppose -3*y + 44 + s = 0. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, t: 2, m: 4, q: 1, n: 1, z: 2}. What is prob of picking 1 n and 1 x?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 9.2. Let y = -1890 + 1890.4. Which is the biggest value? (a) y (b) g (c) -1\/2 (d) -0.075\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**3 + w**3 - 3*w**3 - w + w - 2*w**3 + (4*w - 2*w**3 - 4*w)*(1 - 2 + 3) + 1 - 1 + 2*w**3 + (3 - 3 - 54)*(w - w - w**3).\nAnswer: 48*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/20 - (-12)\/30?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 802.3285 micrograms?\nAnswer: 0.0008023285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24166959 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (49*m**4 + 55*m**4 + 39*m**4)*(2 - 3 + 0) to the form u*m + g*m**4 + p + r*m**3 + h*m**2 and give g.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 667*f + 2 = -4*i + 665*f, 0 = -3*i + 4*f + 1 + 3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s = -5*x - 20*s + 58325, 4*s - 11680 = -x. Is 55 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 12*o - 219. Let k(w) = 2*w + 28. Let p be k(-5). Let h be i(p). Which is the second smallest value? (a) -13 (b) 0.4 (c) 1\/5 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 8 - 19*j**3 - 4 + 20*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0110739 to 4 decimal places.\nAnswer: -0.0111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1023 = -3*u + q - 6*q, q = 2*u - 669. Suppose -15 + 3 = -4*c. Suppose c*w + 2*l = u, 2*w = -4*l + 2*l + 226. Does 22 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, l: 5, v: 1, o: 3, j: 3, b: 1}. Give prob of sequence lubo.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 + -16. Let q = 13 - u. Suppose 2*a = i - 2*i - 10, 3*i = -4*a - 24. Put -4, a, q in increasing order.\nAnswer: q, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 396 a factor of 2272225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 - -37. Let a be (-5556)\/(-28) - 3\/h. Suppose -2*v = -8*v + a. What is the greatest common factor of 3 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 589 divide 125213823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 15 = a, -3*m - 2*m = -3*a - 23. Let y = 7 - 4. Suppose -y*p - p + 80 = 0. Solve f + 4*k - 15 = m*f, -p = 4*f + 2*k for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12630758 is divided by 2105123.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1500, -8, -6, 253?\nAnswer: 253","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1984 + 1984.01658. What is i rounded to 4 decimal places?\nAnswer: 0.0166","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2185, 0.2, 0.5, -3, 1, -0.1 in ascending order.\nAnswer: -3, -0.1, 0.2, 0.5, 1, 2185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - -1*(3 - -3). Suppose 20 = 4*n, -s*u + 5*n = -7 + 60. Let m = u - -15. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j*u**3 - 653*j*u**2 + 626*j*u - 135*u**3 + 4*u**2 + 12072*u wrt u.\nAnswer: -12*j*u - 1306*j - 810*u + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -91*w - 193. Let x be 4\/54*9*(-3)\/w. Let j be (-5 + 2)*2\/6. Sort -6, j, x, -2.\nAnswer: -6, -2, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.468 and 42106.\nAnswer: -146023.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17532 + 0.0123155708?\nAnswer: 17532.0123155708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29391 (base 14) to base 4.\nAnswer: 120331203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 1 - 1 + 4*p**2. Let q(r) = -478 - 475 - 481 + 1910 + 5*r**2 - 476. Determine i(q(h)).\nAnswer: 100*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1611196, -1611206, -1611214, -1611214, -1611200?\n\"Answer: y**3 - 5*y**2 - 2*y - 1611190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83021 = -1667*d + 28668 for d.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3247*a - 775?\nAnswer: 3247","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -944163\/7 + 3366\/7*z - 3\/7*z**2 = 0.\nAnswer: 561","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 12:00 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**2 - 32*b - 12. Let p be f(23). Suppose 0 = -3*j + 5*c + 387, -5*j - 4*c + 605 = c. What is the greatest common divisor of j and p?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7504343*o - 7504336*o + 15008677*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 275709*g**4 - 4020961*g**2 wrt g.\nAnswer: 6617016*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -5. Suppose 5 = 5*d, 2*r - 2*d - 36 = v*d. What is the highest common factor of r and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 8:04 AM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 71*y**2 + 884*y + 209. What is m(-55)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1720 and 163.3.\nAnswer: 1883.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94715*a = 2*h + 94717*a - 20, 0 = -4*h + 3*a + 40 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 2, 0, -3 in ascending order.\nAnswer: -3, 0, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(80))\/((sqrt(80)\/sqrt(5))\/sqrt(4)) + -5)**2.\nAnswer: 100*sqrt(5) + 525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -485\/3*c**3 - 1960\/3 + 1940\/3*c + 170*c**2 - 5\/3*c**4 = 0. Calculate c.\nAnswer: -98, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5052*q**5 + 12926*q**2?\nAnswer: -303120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -36*q + 27*q. Solve -q = -b - 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8339525 is divided by 190?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2297*n + 287123. Give b(-125).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 10) to base 14\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6077 + 6076.9. What is the closest to x in -2\/149, -3\/7, 0.1, 5?\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -48*y**4 + 48936*y**3 - 24459*y**2 + 3057*y.\nAnswer: -3*y*(y - 1019)*(4*y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 8*l - 3 + 4 - l - 4 + (3 - 3 - 2)*(0 + 0 - 2*l))*(2*l**2 + 0*l**2 - 4*l**2).\nAnswer: -22*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12 - -5?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18 * 1564.\nAnswer: 28152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 0 - 18*d - 14*d + 34*d - 2 - 9. Does 73 divide z(42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -7*c**3 + 69*c**2 + 6*c + 234. Let f(m) = -m**3 + 14*m**2 + m + 50. Let a(w) = -14*f(w) + 3*i(w). Let q(v) = v**3 - v**2 - v. Give a(l) + 4*q(l).\nAnswer: -3*l**3 + 7*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/3033 - -5038\/51561. Sort 0.08, -2\/5, l, 0.4, -3 in ascending order.\nAnswer: -3, -2\/5, 0.08, l, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14134.46 to the nearest 100.\nAnswer: 14100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, k: 1, w: 1}. Give prob of sequence dkw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - 5. Which is the smallest value? (a) -3 (b) n (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 958, 1697, 3708, 7627, 14090, 23733, 37192, 55103?\n\"Answer: 106*l**3 - 3*l + 855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 371070.\nAnswer: 2, 3, 5, 7, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zm when two letters picked without replacement from mmmzmzmzmmmmmmm?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + i - 9 = 0, 276*i - 278*i = 2*z - 38 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -599, 112, -76 in descending order.\nAnswer: 112, -1, -76, -599","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -4*j + 5*j + 0*j + 0*j. Let n(v) be the third derivative of v**2 - 1\/24*v**4 + 0*v + 0*v**3 + 0. Give n(l(y)).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - 14002117646.\nAnswer: -14002117645.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - k + k)*(2*k + 5 - 5) - 2*k**2 + 0*k**2 + 29*k - 31*k + 2*k**2 - 3*k**2 - 6*k**2.\nAnswer: -5*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10539)\/135*-9 + (-12)\/(-30). What is the greatest common factor of a and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 3*z + 6, z = r + 2 - 6. Let c = -1 - -2. Let n be (-2 - c)\/((-1)\/(-2)). Which is smaller: n or r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(4\/7)*k**(-3)\/k*(k\/(k*k\/k**(2\/7))*k)**(2\/33)*k**(3\/4)\/k**(-7\/5)*(k\/k**(-1\/4))**41 assuming k is positive.\nAnswer: k**(57737\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c*r**2 - 9421699*c*r + 619882*c - r**2 - 2*r + 23 wrt r.\nAnswer: -2*c*r - 9421699*c - 2*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/3 - 5\/3. Let t be 4*(0\/2 - l). Let k(a) = a - 7. Let i(v) = 5*v - 36. Let w(f) = 2*i(f) - 11*k(f). What is w(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/11, 108, 2?\nAnswer: 108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 51\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2109*n**2 + 13 + n - 2*n - 13 - 696*n**2.\nAnswer: 1413*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x - 2*x + x + (2 - 1 + 0)*(0*x + 0*x - 2*x + (3*x - 3*x + 2*x)*(-1 - 4 + 3) + 4*x + 3*x - 5*x) - 3 + x + 3 to c + q*x and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 297 - 295. Let p(b) = 23*b**c + 19037*b - 19037*b. Let w(k) = 2*k - 4. Let l(r) = -3*r + 5. Let z(s) = -4*l(s) - 5*w(s). Calculate z(p(v)).\nAnswer: 46*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*w**2 - 867000*w + 744064580 = 0. Calculate w.\nAnswer: -174254, 854","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.03 (b) -2.22 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -26274*q + 204069 wrt q.\nAnswer: -26274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 24 = 3. Suppose 2*p - 11 = k, 0 = 2*k + k - c. Let q(l) = l**2 - 12*l + 14. Let x be q(11). Solve -x*u = -n - p, -2*u + 4*n = -0*u - 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556258 + -0.190422915?\nAnswer: 556257.809577085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 8*d - 110. Let k(n) = -15*n. What is k(c(l))?\nAnswer: -120*l + 1650","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 85 + -83. Suppose -4*m + 304 = -o*m. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 16) to base 8\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19980, -39937, -59894?\nAnswer: -79851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-5*sqrt(2)*4)**2 + (sqrt(98) + 1 + sqrt(98) + 0 + sqrt(72))**2.\nAnswer: 40*sqrt(2) + 1605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -p - 1\/24*p**3 - 1\/8*p**2 + 0 + 1\/80*p**5 + 1\/48*p**4. Suppose x(n) = 0. Calculate n.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**2 - 3*n + 59. What is b(0)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lgi when three letters picked without replacement from {i: 5, p: 8, l: 3, g: 2, j: 1}?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 - 41. Let p(n) = n**2 + n - 18. Let r be p(o). Solve -5*d + r = 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -5*k + 27 - 114, 3*n = 34*k + 522 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1247)\/(-172))\/(90\/108*(-6)\/20)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -44*p**2 - 2*p - 3. Let z be s(2). Let t = z + 258. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 511, 19, 4, -2, 1 in increasing order.\nAnswer: -2, 1, 4, 19, 511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-17)\/(34\/24))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5843*s + 6335*s + 5 - 12584*s.\nAnswer: -406*s + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 10:51 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -5 - (-50 + 46)) + 5\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**2 - 4*q**2 - 66 + 64 + 4*q**2 to t*q + z*q**2 + b and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 549530431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 44658 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -9\/2, -5, 0.2, 1, 4 in increasing order.\nAnswer: -5, -9\/2, 0.2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - h - 3 + 2*h + 2*h - 3*h + (4*h + 0*h - 5*h)*(3 - 2 + 1) + (-6 + 2 - 2)*(-77 + 77 + 12*h).\nAnswer: -74*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 e when four letters picked without replacement from pepppep?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3, 16, 23, 12, -23?\n\"Answer: -x**3 + 26*x - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 2\/5, -249 in descending order.\nAnswer: 2\/5, -25, -249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22055?\nAnswer: 5, 11, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10189 or -10190?\nAnswer: -10190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -269*r + 6344. Determine x(26).\nAnswer: -650","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9408 and 800?\nAnswer: 235200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 6 = -11. Suppose x = 5*a + n, 3*x + 7 = 7*a - 3*a. Let p(s) be the second derivative of -2*s**3\/3 - s**2\/2 + s. Calculate p(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x + 194 - 195 - 5*x. Calculate p(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 3:43 AM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i**2. Let h(s) = 7*s - 6. Let t(f) = f - 2. Let a(r) = h(r) - 3*t(r). What is a(k(m))?\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 24*q**2 + 47*q - 30. Calculate h(-26).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 282250 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -4 (c) -69 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -32*l + 203. Let m be a(-52). Is 5599\/3 at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + 0. Let n = -243 + 1217\/5. Sort -0.06, y, n, 1.\nAnswer: -0.06, n, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 32 - 28cc7?\nAnswer: -28c95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 7*p**2 - 3*p - 21. Calculate a(7).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 12*d + 12. Suppose 5*q - 8 - 47 = 0. Let k be z(q). What is the highest common factor of k and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hk when two letters picked without replacement from {l: 4, h: 2, z: 1, o: 3, k: 1, m: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -699\nAnswer: -1\/699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 12*w**2 + 17. Calculate x(12).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000250182658 to six dps.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*f**2*o**2 + 103664*f*o**3 - 11*o**3 - 63869*o**2 - o with respect to f.\nAnswer: 30*f*o**2 + 103664*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 111, 357 in ascending order.\nAnswer: -4, 111, 357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 12:37 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3604, 6711, 9818, 12925, 16032?\nAnswer: 19139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/9 - 79\/(-9). Let z = 38 - v. Calculate the remainder when z is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -1698 + 516. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2565058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 0. Suppose t = 5*k - 3*k - 128. Let w be (-6)\/21 + k\/28. Is 1 at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1275462381?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/78 - (-100)\/(-26) - -17. Suppose g*z - 9*z = 4. Let f = z - -14. What is the highest common factor of f and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 56 + -31. Let g = 24.9 - c. What is the nearest to -0.3 in g, 0.4, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**4 - 6 + 1 + 4 + (-5*m + m + 0*m)*(0*m**3 + 5*m**3 - 3*m**3) - 4*m + 4*m - 5*m**4.\nAnswer: -11*m**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.6637394 to 3 dps.\nAnswer: 4.664","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.9 - -1. Let i be 14\/14*7\/35. What is the second smallest value in a, 2\/15, i?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219 = -3*h + 4*k, 4*h - 2*k + 148 = 2*h. Let f be h\/(-2) - (-1)\/2. Suppose -f = -2*u - 9. Solve 0 = 3*p + 3*y + u, -p = 4*y - y + 15 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (33\/15 + -2)*2. Let i(t) be the first derivative of 0*t**2 - 1 - t + r*t**5 + 0*t**4 + 0*t**3. Differentiate i(f) with respect to f.\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*w + 2*w - 1 - 2*w)*(w**2 - 2*w**2 - 4*w**2 + (2*w + 269 - 269)*(w - 2*w + 0*w)) + 3 - 2*w**3 - 3 to the form x*w + g*w**2 + r*w**3 + y and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2429*o**3 - 420*o - 71*o - o**2 - 65*o + 556*o.\nAnswer: 2429*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5860, 6260, 6648, 7018, 7364, 7680, 7960, 8198?\nAnswer: 8388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 952875 and 3283335.\nAnswer: 574583625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4145, -6147, -8149?\n\"Answer: -2002*f - 2143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5*m - 2 = 63, m - 89 = -5*q. Let c(a) = a - 10. Let y be c(q). Suppose -3*r + y*r = 332. What are the prime factors of r?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -993, -1982, -2971, -3960, -4949, -5938?\nAnswer: -6927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -1, 17, 1\/2, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(3\/4)*w*w**(-4))**34 assuming w is positive.\nAnswer: w**(-85\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5083 = -2*o + 3*n - 5128, -o - 5*n - 16 = 0 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (440\/(-77))\/4*1\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-28) + 5368\/28. Calculate the greatest common divisor of 24 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1030 is divided by 342?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 g when two letters picked without replacement from gfvgfppfftgyf.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x + 3 + 2 - 1152*x**2 - 4*x + 0 + x**3.\nAnswer: x**3 - 1152*x**2 - 3*x + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 7*c - 147 + 12*c)*(-8*c**3 + 5*c**4 + 8*c**3).\nAnswer: 25*c**5 - 650*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12229 - 12229.5. Let j be 1\/4 + (-30)\/(-8). What is the fourth smallest value in r, 0.5, 0.2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 277 = -3*h + 2*h, 3*l - 4*h - 271 = 0. Suppose l = -t + 4*t. Let k = t + -22. Calculate the remainder when 15 is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/12 - (-2)\/(-4). Let c = 15 - 10. Suppose -2*u = 3*m - 2 + 14, 0 = -u + c*m + 20. Which is greater: u or s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bnnbfnn. What is prob of sequence nnn?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 6*a. Let m be h(6). Let r be 2 + m + (-4 - -4). Suppose r*c = -c + 138. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*b**3 - 22 + 25 - 5*b**3)*(b**2 - 1 + 1).\nAnswer: 5*b**5 + 3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63.032 + -0.032. Let y = 64 - d. Sort y, -1, 0, -0.5 in descending order.\nAnswer: y, 0, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 8*v + 5. Let p(d) = -21*d - 20. Let i(a) = 14*a + 13. Let y(r) = 8*i(r) + 5*p(r). Let u(g) = -6*o(g) + 7*y(g). Determine u(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 235899840 and 352?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 8*d**2 + 6*d + 7. Let l be k(7). Suppose l*i = -4*i - 8. Let a be (-4)\/(-6)*3\/i. Is a at least 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 63*f - 24 = 80. Let a(j) = -2 + 1 + 3 - 4*j. Let h(x) = 21*x - 11. Let s(b) = f*h(b) - 11*a(b). Let y(z) = -13*z**2. What is y(s(c))?\nAnswer: -52*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -66521094a - -3?\nAnswer: -665210947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 - 0.8. Let d = -0.8 - s. Suppose r - 3 = o + 2*r, 3*r - 21 = 3*o. What is the nearest to 0 in o, d, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 0*r + 22 = 5*r, 2*p + 3*r - 14 = 0. Which is the biggest value? (a) -1\/10 (b) p (c) -0.5 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + l + 68, 7*x + 5*l - 34 = 6*x. Solve -15*d + 41 = -x for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 382 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 5.5. Let c = -0.133 + -0.167. Let i = -71\/20 + 19\/5. What is the closest to c in 1\/2, d, i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -5.5. Which is the second biggest value? (a) -0.4 (b) -3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75 (base 8) to base 12\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 1 + 2*m - 3*m + m + m. Let z = 1 + 1. Let d(w) = 3*w + 2. What is z*f(v) - d(v)?\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1845 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 8:42 AM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (68 - (7 - -2 - 21) - 2)\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 148859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -764824, -764828, -764832?\nAnswer: -764836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -602180780*l**3 - l**2 + 6745*l - 12 wrt l.\nAnswer: -3613084680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 4*s - 520 = 0, -127 = -j + 2*j + 4*s. Let u = 32 - j. Does 24 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10458503.7 to the nearest ten thousand.\nAnswer: -10460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-3)*(-6)\/3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 94\/7685937 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -14992 (base 16) to base 3\nAnswer: -11021201211","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 56 = -2*w, -4*w + 2*w = 4*b - 102. Solve -5*q = -3 + b for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iwdgxxlgddx. Give prob of sequence dgwg.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c*q*z - 183*c*z + q*z - 273*q wrt c.\nAnswer: -q*z - 183*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*r + 42*r - 6541 = -5*k, 3*k = -r + 6533. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2813, -5624, -8431, -11234, -14033, -16828?\nAnswer: -19619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of p**2 - 6111151*p - 43083950 wrt p.\nAnswer: 2*p - 6111151","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4*3\/(-14)*(-14)\/3. Suppose -4020 = -y*z + 2*i, 5*z + 0*i = -3*i + 5003. What are the prime factors of z?\nAnswer: 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 662211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -4*g + 7*g. Suppose -20 = -3*i - g. Let z = -2 + i. Calculate the highest common divisor of 18 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 386*d - 400*d = -554147 - 44171. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -1, -2, -0.1, -9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -5*s**3 - 3*s**2 + 109*s. Let j be m(-10). What is the highest common divisor of j and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.4, -1\/23485759 in increasing order.\nAnswer: -1\/23485759, 0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 475042?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 10*g**3 + 2*g**2 + 7*g + 12. Let t(x) = 3*x**3 + x**2 + 2*x + 4. Let b(a) = 2*c(a) - 7*t(a). Calculate b(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11 + -2)\/65 - (-112)\/10. What is the highest common factor of s and 847?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -356*f + 42 = -351*f - 3*m, -3*f = f + 2*m + 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -562804 + 3?\nAnswer: -562801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 - 2. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}